[Code of Federal Regulations] [Title 26, Volume 14] [Revised as of January 1, 2007] From the U.S. Government Printing Office via GPO Access [CITE: 26CFR20.2031-7] [Page 270-289] TITLE 26--INTERNAL REVENUE CHAPTER I--INTERNAL REVENUE SERVICE, DEPARTMENT OF THE TREASURY (CONTINUED) PART 20_ESTATE TAX; ESTATES OF DECEDENTS DYING AFTER AUGUST 16, 1954--Table of Contents Sec. 20.2031-7 Valuation of annuities, interests for life or term of years, and remainder or reversionary interests. (a) In general. Except as otherwise provided in paragraph (b) of this section and Sec. 20.7520-3(b) (pertaining to certain limitations on the use of prescribed tables), the fair market value of annuities, life estates, terms of years, remainders, and reversionary interests for estates of decedents is the present value of such interests, determined under paragraph (d) of this section. The regulations in this and in related sections provide tables with standard actuarial factors and examples that illustrate how to use the tables to compute the present value of ordinary annuity, life, and remainder interests in property. These sections also refer to standard and special actuarial factors that may be necessary to compute the present value of similar interests in more unusual fact situations. (b) Commercial annuities and insurance contracts. The value of annuities issued by companies regularly engaged in their sale, and of insurance policies on the lives of persons other than the decedent, is determined under Sec. 20.2031-8. See Sec. 20.2042-1 with respect to insurance policies on the decedent's life. (c) Actuarial valuations. The present value of annuities, life estates, terms of years, remainders, and reversions for estates of decedents for which the valuation date of the gross estate is after April 30, 1999, is determined under paragraph (d) of this section. The present value of annuities, life estates, terms of years, remainders, and reversions for estates of decedents for which the valuation date of the gross estate is before May 1, 1999, is determined under the following sections: ------------------------------------------------------------------------ Valuation date ----------------------------------------------- Applicable regulations After Before ------------------------------------------------------------------------ 01-01-52 20.2031-7A(a) 12-31-51.......................... 01-01-71 20.2031-7A(b) 12-31-70.......................... 12-01-83 20.2031-7A(c) 11-30-83.......................... 05-01-89 20.2031-7A(d) 04-30-89.......................... 05-01-99 20.2031-7A(e) ------------------------------------------------------------------------ (d) Actuarial valuations after April 30, 1999--(1) In general. Except as otherwise provided in paragraph (b) of this section and Sec. 20.7520-3(b) (pertaining to certain limitations on the use of prescribed tables), if the valuation date for the gross estate of the decedent is after April 30, 1999, the fair market value of annuities, life estates, terms of years, remainders, and reversionary interests is the present value determined by use of standard or special section 7520 actuarial factors. These factors are derived by using the appropriate section 7520 interest rate and, if applicable, the mortality component for the valuation date of the interest that is being valued. For purposes of the computations described in this section, the age of an individual is the age of that individual at the individual's nearest birthday. See Sec. Sec. 20.7520-1 through 20.7520-4. (2) Specific interests--(i) Charitable remainder trusts. The fair market value of a remainder interest in a pooled income fund, as defined in Sec. 1.642(c)-5 of this chapter, is its value determined under Sec. 1.642(c)-6(e) of this chapter. The fair market value of a remainder interest in a charitable remainder annuity trust, as defined in Sec. 1.664-2(a) of this chapter, is the present value determined under Sec. 1.664-2(c) of this chapter. The fair market value of a remainder interest in a charitable remainder unitrust, as defined in Sec. 1.664-3 of this chapter, is its present value determined under Sec. 1.664-4(e) of this chapter. The fair market value of a life interest or term of years in a charitable remainder unitrust is the fair market value of the property as of the date of valuation less the fair market value of the remainder interest on that date determined under Sec. 1.664-4(e)(4) and (5) of this chapter. (ii) Ordinary remainder and reversionary interests. If the interest to be valued is to take effect after a definite number of years or after the death of one individual, the present value of the interest is computed by multiplying the value of the property by the appropriate remainder interest actuarial factor (that corresponds to the applicable section 7520 interest rate and remainder interest period) in Table B (for a term certain) or the appropriate Table S (for one measuring life), as the case may be. Table B is contained in paragraph (d)(6) of this section and Table S [[Page 271]] (for one measuring life when the valuation date is after April 30, 1999) is contained in paragraph (d)(7) of this section and in Internal Revenue Service Publication 1457. For information about obtaining actuarial factors for other types of remainder interests, see paragraph (d)(4) of this section. (iii) Ordinary term-of-years and life interests. If the interest to be valued is the right of a person to receive the income of certain property, or to use certain nonincome-producing property, for a term of years or for the life of one individual, the present value of the interest is computed by multiplying the value of the property by the appropriate term-of-years or life interest actuarial factor (that corresponds to the applicable section 7520 interest rate and term-of- years or life interest period). Internal Revenue Service Publication 1457 includes actuarial factors for an interest for a term of years in Table B and for the life of one individual in Table S (for one measuring life when the valuation date is after April 30, 1999). However, term-of- years and life interest actuarial factors are not included in Table B in paragraph (d)(6) of this section or Table S in paragraph (d)(7) of this section. If Internal Revenue Service Publication 1457 (or any other reliable source of term-of-years and life interest actuarial factors) is not conveniently available, an actuarial factor for the interest may be derived mathematically. This actuarial factor may be derived by subtracting the correlative remainder factor (that corresponds to the applicable section 7520 interest rate and the term of years or the life) in Table B (for a term of years) in paragraph (d)(6) of this section or in Table S (for the life of one individual) in paragraph (d)(7) of this section, as the case may be, from 1.000000. For information about obtaining actuarial factors for other types of term-of-years and life interests, see paragraph (d)(4) of this section. (iv) Annuities. (A) If the interest to be valued is the right of a person to receive an annuity that is payable at the end of each year for a term of years or for the life of one individual, the present value of the interest is computed by multiplying the aggregate amount payable annually by the appropriate annuity actuarial factor (that corresponds to the applicable section 7520 interest rate and annuity period). Internal Revenue Publication 1457 includes actuarial factors in Table B (for an annuity payable for a term of years) and in Table S (for an annuity payable for the life of one individual when the valuation date is after April 30, 1999). However, annuity actuarial factors are not included in Table B in paragraph (d)(6) of this section or Table S in paragraph (d)(7) of this section. If Internal Revenue Service Publication 1457 (or any other reliable source of annuity actuarial factors) is not conveniently available, a required annuity factor for a term of years or for one life may be mathematically derived. This annuity factor may be derived by subtracting the applicable remainder factor (that corresponds to the applicable section 7520 interest rate and annuity period) in Table B (in the case of a term-of-years annuity) in paragraph (d)(6) of this section or in Table S (in the case of a one- life annuity when the valuation date is after April 30, 1999) in paragraph (d)(7) of this section, as the case may be, from 1.000000 and then dividing the result by the applicable section 7520 interest rate expressed as a decimal number. (B) If the annuity is payable at the end of semiannual, quarterly, monthly, or weekly periods, the product obtained by multiplying the annuity factor by the aggregate amount payable annually is then multiplied by the applicable adjustment factor as contained in Table K in paragraph (d)(6) of this section for payments made at the end of the specified periods. The provisions of this paragraph (d)(2)(iv)(B) are illustrated by the following example: Example. At the time of the decedent's death, the survivor/ annuitant, age 72, is entitled to receive an annuity of $15,000 a year for life payable in equal monthly installments at the end of each period. The section 7520 rate for the month in which the decedent died is 9.6 percent. Under Table S in paragraph (d)(7) of this section, the remainder factor at 9.6 percent for an individual aged 72 is .38438. By converting the remainder factor to an annuity factor, as described above, the annuity factor at 9.6 percent for an individual aged 72 is 6.4127 (1.00000 minus .38438, divided by .096). Under Table K in [[Page 272]] paragraph (d)(6) of this section, the adjustment factor under the column for payments made at the end of each monthly period at the rate of 9.6 percent is 1.0433. The aggregate annual amount, $15,000, is multiplied by the factor 6.4127 and the product multiplied by 1.0433. The present value of the annuity at the date of the decedent's death is, therefore, $100,355.55 ($15,000 x 6.4127 x 1.0433). (C) If an annuity is payable at the beginning of annual, semiannual, quarterly, monthly, or weekly periods for a term of years, the value of the annuity is computed by multiplying the aggregate amount payable annually by the annuity factor described in paragraph (d)(2)(iv)(A) of this section; and the product so obtained is then multiplied by the adjustment factor in Table J in paragraph (d)(6) of this section at the appropriate interest rate component for payments made at the beginning of specified periods. If an annuity is payable at the beginning of annual, semiannual, quarterly, monthly, or weekly periods for one or more lives, the value of the annuity is the sum of the first payment plus the present value of a similar annuity, the first payment of which is not to be made until the end of the payment period, determined as provided in this paragraph (d)(2)(iv). (v) Annuity and unitrust interests for a term of years or until the prior death of an individual. See Sec. 25.2512-5(d)(2)(v) of this chapter for examples explaining how to compute the present value of an annuity or unitrust interest that is payable until the earlier of the lapse of a specific number of years or the death of an individual. (3) Transitional rule. (i) If a decedent dies after April 30, 1999, and if on May 1, 1999, the decedent was mentally incompetent so that the disposition of the decedent's property could not be changed, and the decedent dies without having regained competency to dispose of the decedent's property or dies within 90 days of the date on which the decedent first regains competency, the fair market value of annuities, life estates, terms for years, remainders, and reversions included in the gross estate of the decedent is their present value determined either under this section or under the corresponding section applicable at the time the decedent became mentally incompetent, at the option of the decedent's executor. For example, see Sec. 20.2031-7A(e)(2). (ii) If a decedent dies after April 30, 1999, and before July 1, 1999, the fair market value of annuities, life estates, remainders, and reversions based on one or more measuring lives included in the gross estate of the decedent is their present value determined under this section by use of the section 7520 interest rate for the month in which the valuation date occurs (see Sec. Sec. 20.7520-1(b) and 20.7520- 2(a)(2)) and the appropriate actuarial tables under either paragraph (d)(7) of this section or Sec. 20.2031-7A(e)(4), at the option of the decedent's executor. (iii) For purposes of paragraphs (d)(3)(i) and (ii) of this section, where the decedent's executor is given the option to use the appropriate actuarial tables under either paragraph (d)(7) of this section or Sec. 20.2031-7A(e)(4), the decedent's executor must use the same actuarial table with respect to each individual transaction and with respect to all transfers occurring on the valuation date (for example, gift and income tax charitable deductions with respect to the same transfer must be determined based on the same tables, and all assets includible in the gross estate and/or estate tax deductions claimed must be valued based on the same tables). (4) Publications and actuarial computations by the Internal Revenue Service. Many standard actuarial factors not included in paragraphs (d)(6) or (d)(7) of this section are included in Internal Revenue Service Publication 1457, ``Actuarial Values, Book Aleph,'' (7-1999). Publication 1457 also includes examples that illustrate how to compute many special factors for more unusual situations. A copy of this publication is available for purchase from the Superintendent of Documents, United States Government Printing Office, Washington, DC 20402. See Sec. 20.2031-7A for publications containing actuarial factors for valuing interests for which the valuation date is before May 1, 1999. If a special factor is required in the case of an actual decedent, the Internal Revenue Service may furnish the factor to the executor upon a request for a ruling. The request for a ruling must be accompanied by a recitation of the [[Page 273]] facts including a statement of the date of birth for each measuring life, the date of the decedent's death, any other applicable dates, and a copy of the will, trust, or other relevant documents. A request for a ruling must comply with the instructions for requesting a ruling published periodically in the Internal Revenue Bulletin (see Sec. Sec. 601.201 and 601.601(d)(2)(ii)(b) of this chapter) and include payment of the required user fee. (5) Examples. The provisions of this section are illustrated by the following examples: Example 1. Remainder payable at an individual's death. The decedent, or the decedent's estate, was entitled to receive certain property worth $50,000 upon the death of A, to whom the income was bequeathed for life. At the time of the decedent's death, A was 47 years 5 months old. In the month in which the decedent died, the section 7520 rate was 9.8 percent. Under Table S in paragraph (d)(7) of this section, the remainder factor at 9.8 percent for determining the present value of the remainder interest due at the death of a person aged 47, the number of years nearest A's actual age at the decedent's death, is .10317. The present value of the remainder interest at the date of the decedent's death is, therefore, $5,158.50 ($50,000 x .10317). Example 2. Income payable for an individual's life. A's parent bequeathed an income interest in property to A for life, with the remainder interest passing to B at A's death. At the time of the parent's death, the value of the property was $50,000 and A was 30 years 10 months old. The section 7520 rate at the time of the parent's death was 10.2 percent. Under Table S in paragraph (d)(7) of this section, the remainder factor at 10.2 percent for determining the present value of the remainder interest due at the death of a person aged 31, the number of years closest to A's age at the decedent's death, is .03583. Converting this remainder factor to an income factor, as described in paragraph (d)(2)(iii) of this section, the factor for determining the present value of an income interest for the life of a person aged 31 is .96417. The present value of A's interest at the time of the parent's death is, therefore, $48,208.50 ($50,000 x .96417). Example 3. Annuity payable for an individual's life. A purchased an annuity for the benefit of both A and B. Under the terms of the annuity contract, at A's death, a survivor annuity of $10,000 a year payable in equal semiannual installments made at the end of each interval is payable to B for life. At A's death, B was 45 years 7 months old. Also, at A's death, the section 7520 rate was 9.6 percent. Under Table S in paragraph (d)(7) of this section, the factor at 9.6 percent for determining the present value of the remainder interest at the death of a person age 46 (the number of years nearest B's actual age) is .10013. By converting the factor to an annuity factor, as described in paragraph (d)(2)(iv)(A) of this section, the factor for the present value of an annuity payable until the death of a person age 46 is 9.3736 (1.00000 minus .10013, divided by .096). The adjustment factor from Table K in paragraph (d)(6) of this section at an interest rate of 9.6 percent for semiannual annuity payments made at the end of the period is 1.0235. The present value of the annuity at the date of A's death is, therefore, $95,938.80 ($10,000 x 9.3736 x 1.0235). Example 4. Annuity payable for a term of years. The decedent, or the decedent's estate, was entitled to receive an annuity of $10,000 a year payable in equal quarterly installments at the end of each quarter throughout a term certain. At the time of the decedent's death, the section 7520 rate was 9.8 percent. A quarterly payment had just been made prior to the decedent's death and payments were to continue for 5 more years. Under Table B in paragraph (d)(6) of this section for the interest rate of 9.8 percent, the factor for the present value of a remainder interest due after a term of 5 years is .626597. Converting the factor to an annuity factor, as described in paragraph (d)(2)(iv)(A) of this section, the factor for the present value of an annuity for a term of 5 years is 3.8102. The adjustment factor from Table K in paragraph (d)(6) of this section at an interest rate of 9.8 percent for quarterly annuity payments made at the end of the period is 1.0360. The present value of the annuity is, therefore, $39,473.67 ($10,000 x 3.8102 x 1.0360). (6) Actuarial Table B, Table J, and Table K where the valuation date is after April 30, 1989. Except as provided in Sec. 20.7520-3(b) (pertaining to certain limitations on prescribed tables), for determination of the present value of an interest that is dependent on a term of years, the tables in this paragraph (d)(6) must be used in the application of the provisions of this section when the section 7520 interest rate component is between 4.2 and 14 percent. [[Page 274]] Table B--Term Certain Remainder Factors Applicable After April 30, 1989 -------------------------------------------------------------------------------------------------------------------------------------------------------- Interest rate Years --------------------------------------------------------------------------------------------------- 4.2% 4.4% 4.6% 4.8% 5.0% 5.2% 5.4% 5.6% 5.8% 6.0% -------------------------------------------------------------------------------------------------------------------------------------------------------- 1................................................... .959693 .957854 .956023 .954198 .952381 .950570 .948767 .946970 .945180 .943396 2................................................... .921010 .917485 .913980 .910495 .907029 .903584 .900158 .896752 .893364 .889996 3................................................... .883887 .878817 .873786 .868793 .863838 .858920 .854040 .849197 .844390 .839619 4................................................... .848260 .841779 .835359 .829001 .822702 .816464 .810285 .804163 .798100 .792094 5................................................... .814069 .806302 .798623 .791031 .783526 .776106 .768771 .761518 .754348 .747258 6................................................... .781257 .772320 .763501 .754801 .746215 .737744 .729384 .721135 .712994 .704961 7................................................... .749766 .739770 .729925 .720230 .710681 .701277 .692015 .682893 .673908 .665057 8................................................... .719545 .708592 .697825 .687242 .676839 .666613 .656561 .646679 .636964 .627412 9................................................... .690543 .678728 .667137 .655765 .644609 .633663 .622923 .612385 .602045 .591898 10.................................................. .662709 .650122 .637798 .625730 .613913 .602341 .591009 .579910 .569041 .558395 11.................................................. .635997 .622722 .609750 .597071 .584679 .572568 .560729 .549157 .537846 .526788 12.................................................. .610362 .596477 .582935 .569724 .556837 .544266 .532001 .520035 .508361 .496969 13.................................................. .585760 .571339 .557299 .543630 .530321 .517363 .504745 .492458 .480492 .468839 14.................................................. .562150 .547259 .532790 .518731 .505068 .491790 .478885 .466343 .454151 .442301 15.................................................. .539491 .524195 .509360 .494972 .481017 .467481 .454350 .441612 .429255 .417265 16.................................................. .517746 .502102 .486960 .472302 .458112 .444374 .431072 .418194 .405723 .393646 17.................................................. .496877 .480941 .465545 .450670 .436297 .422408 .408987 .396017 .383481 .371364 18.................................................. .476849 .460671 .445071 .430028 .415521 .401529 .388033 .375016 .362458 .350344 19.................................................. .457629 .441256 .425498 .410332 .395734 .381681 .368153 .355129 .342588 .330513 20.................................................. .439183 .422659 .406786 .391538 .376889 .362815 .349291 .336296 .323807 .311805 21.................................................. .421481 .404846 .388897 .373605 .358942 .344881 .331396 .318462 .306056 .294155 22.................................................. .404492 .387783 .371794 .356494 .341850 .327834 .314417 .301574 .289278 .277505 23.................................................. .388188 .371440 .355444 .340166 .325571 .311629 .298309 .285581 .273420 .261797 24.................................................. .372542 .355785 .339813 .324586 .310068 .296225 .283025 .270437 .258431 .246979 25.................................................. .357526 .340791 .324869 .309719 .295303 .281583 .268525 .256096 .244263 .232999 26.................................................. .343115 .326428 .310582 .295533 .281241 .267664 .254768 .242515 .230873 .219810 27.................................................. .329285 .312670 .296923 .281998 .267848 .254434 .241715 .229654 .218216 .207368 28.................................................. .316012 .299493 .283866 .269082 .255094 .241857 .229331 .217475 .206253 .195630 29.................................................. .303275 .286870 .271382 .256757 .242946 .229902 .217582 .205943 .194947 .184557 30.................................................. .291051 .274780 .259447 .244997 .231377 .218538 .206434 .195021 .184260 .174110 31.................................................. .279319 .263199 .248038 .233776 .220359 .207736 .195858 .184679 .174158 .164255 32.................................................. .268061 .252106 .237130 .223069 .209866 .197468 .185823 .174886 .164611 .154957 33.................................................. .257256 .241481 .226702 .212852 .199873 .187707 .176303 .165612 .155587 .146186 34.................................................. .246887 .231304 .216732 .203103 .190355 .178429 .167270 .156829 .147058 .137912 35.................................................. .236935 .221556 .207201 .193801 .181290 .169609 .158701 .148512 .138996 .130105 36.................................................. .227385 .212218 .198089 .184924 .172657 .161225 .150570 .140637 .131376 .122741 37.................................................. .218220 .203274 .189377 .176454 .164436 .153256 .142856 .133179 .124174 .115793 38.................................................. .209424 .194707 .181049 .168373 .156605 .145681 .135537 .126116 .117367 .109239 39.................................................. .200983 .186501 .173087 .160661 .149148 .138480 .128593 .119428 .110933 .103056 40.................................................. .192882 .178641 .165475 .153302 .142046 .131635 .122004 .113095 .104851 .097222 41.................................................. .185107 .171112 .158198 .146281 .135282 .125128 .115754 .107098 .099103 .091719 42.................................................. .177646 .163900 .151241 .139581 .128840 .118943 .109823 .101418 .093670 .086527 43.................................................. .170486 .156992 .144590 .133188 .122704 .113064 .104197 .096040 .088535 .081630 44.................................................. .163614 .150376 .138231 .127088 .116861 .107475 .098858 .090947 .083682 .077009 45.................................................. .157019 .144038 .132152 .121267 .111297 .102163 .093793 .086124 .079094 .072650 46.................................................. .150690 .137968 .126340 .115713 .105997 .097113 .088988 .081557 .074758 .068538 47.................................................. .144616 .132153 .120784 .110413 .100949 .092312 .084429 .077232 .070660 .064658 48.................................................. .138787 .126583 .115473 .105356 .096142 .087749 .080103 .073136 .066786 .060998 49.................................................. .133193 .121248 .110395 .100530 .091564 .083412 .075999 .069258 .063125 .057546 50.................................................. .127824 .116138 .105540 .095926 .087204 .079289 .072106 .065585 .059665 .054288 51.................................................. .122672 .111243 .100898 .091532 .083051 .075370 .068411 .062107 .056394 .051215 52.................................................. .117728 .106555 .096461 .087340 .079096 .071644 .064907 .058813 .053302 .048316 53.................................................. .112982 .102064 .092219 .083340 .075330 .068103 .061581 .055695 .050380 .045582 54.................................................. .108428 .097763 .088164 .079523 .071743 .064737 .058426 .052741 .047618 .043001 55.................................................. .104058 .093642 .084286 .075880 .068326 .061537 .055433 .049944 .045008 .040567 56.................................................. .099864 .089696 .080580 .072405 .065073 .058495 .052593 .047296 .042541 .038271 57.................................................. .095839 .085916 .077036 .069089 .061974 .055604 .049898 .044787 .040208 .036105 58.................................................. .091976 .082295 .073648 .065924 .059023 .052855 .047342 .042412 .038004 .034061 59.................................................. .088268 .078826 .070409 .062905 .056212 .050243 .044916 .040163 .035921 .032133 60.................................................. .084710 .075504 .067313 .060024 .053536 .047759 .042615 .038033 .033952 .030314 -------------------------------------------------------------------------------------------------------------------------------------------------------- Table B--Term Certain Remainder Factors Applicable After April 30, 1989 -------------------------------------------------------------------------------------------------------------------------------------------------------- Interest rate Years --------------------------------------------------------------------------------------------------- 6.2% 6.4% 6.6% 6.8% 7.0% 7.2% 7.4% 7.6% 7.8% 8.0% -------------------------------------------------------------------------------------------------------------------------------------------------------- 1................................................... .941620 .939850 .938086 .936330 .934579 .932836 .931099 .929368 .927644 .925926 2................................................... .886647 .883317 .880006 .876713 .873439 .870183 .866945 .863725 .860523 .857339 3................................................... .834885 .830185 .825521 .820892 .816298 .811738 .807211 .802718 .798259 .793832 [[Page 275]] 4................................................... .786144 .780249 .774410 .768626 .762895 .757218 .751593 .746021 .740500 .735030 5................................................... .740248 .733317 .726464 .719687 .712986 .706360 .699808 .693328 .686920 .680583 6................................................... .697032 .689208 .681486 .673864 .666342 .658918 .651590 .644357 .637217 .630170 7................................................... .656339 .647752 .639292 .630959 .622750 .614662 .606694 .598845 .591111 .583490 8................................................... .618022 .608789 .599711 .590786 .582009 .573379 .564892 .556547 .548340 .540269 9................................................... .581942 .572170 .562581 .553170 .543934 .534868 .525971 .517237 .508664 .500249 10.................................................. .547968 .537754 .527750 .517950 .508349 .498944 .489731 .480704 .471859 .463193 11.................................................. .515977 .505408 .495075 .484972 .475093 .465433 .455987 .446750 .437717 .428883 12.................................................. .485854 .475007 .464423 .454093 .444012 .434173 .424569 .415196 .406046 .397114 13.................................................. .457490 .446436 .435669 .425181 .414964 .405012 .395316 .385870 .376666 .367698 14.................................................. .430781 .419582 .408695 .398109 .387817 .377810 .368078 .358615 .349412 .340461 15.................................................. .405632 .394344 .383391 .372762 .362446 .352434 .342717 .333285 .324130 .315242 16.................................................. .381951 .370624 .359654 .349028 .338735 .328763 .319103 .309745 .300677 .291890 17.................................................. .359653 .348331 .337386 .326805 .316574 .306682 .297117 .287867 .278921 .270269 18.................................................. .338656 .327379 .316498 .305997 .295864 .286084 .276645 .267534 .258739 .250249 19.................................................. .318885 .307687 .296902 .286514 .276508 .266870 .257584 .248638 .240018 .231712 20.................................................. .300268 .289179 .278520 .268272 .258419 .248946 .239836 .231076 .222651 .214548 21.................................................. .282739 .271785 .261276 .251191 .241513 .232225 .223311 .214755 .206541 .198656 22.................................................. .266232 .255437 .245099 .235197 .225713 .216628 .207925 .199586 .191596 .183941 23.................................................. .250689 .240073 .229924 .220222 .210947 .202078 .193598 .185489 .177733 .170315 24.................................................. .236054 .225632 .215689 .206201 .197147 .188506 .180259 .172387 .164873 .157699 25.................................................. .222273 .212060 .202334 .193072 .184249 .175845 .167839 .160211 .152943 .146018 26.................................................. .209297 .199305 .189807 .180779 .172195 .164035 .156275 .148895 .141877 .135202 27.................................................. .197078 .187317 .178056 .169269 .160930 .153017 .145507 .138379 .131611 .125187 28.................................................. .185572 .176049 .167031 .158491 .150402 .142740 .135482 .128605 .122088 .115914 29.................................................. .174739 .165460 .156690 .148400 .140563 .133153 .126147 .119521 .113255 .107328 30.................................................. .164537 .155507 .146989 .138951 .131367 .124210 .117455 .111079 .105060 .099377 31.................................................. .154932 .146154 .137888 .130104 .122773 .115868 .109362 .103233 .097458 .092016 32.................................................. .145887 .137362 .129351 .121820 .114741 .108085 .101827 .095942 .090406 .085200 33.................................................. .137370 .129100 .121342 .114064 .107235 .100826 .094811 .089165 .083865 .078889 34.................................................. .129350 .121335 .113830 .106802 .100219 .094054 .088278 .082867 .077797 .073045 35.................................................. .121798 .114036 .106782 .100001 .093663 .087737 .082196 .077014 .072168 .067635 36.................................................. .114688 .107177 .100171 .093634 .087535 .081844 .076532 .071574 .066946 .062625 37.................................................. .107992 .100730 .093969 .087673 .081809 .076347 .071259 .066519 .062102 .057986 38.................................................. .101688 .094671 .088151 .082090 .076457 .071219 .066349 .061821 .057609 .053690 39.................................................. .095751 .088977 .082693 .076864 .071455 .066436 .061778 .057454 .053440 .049713 40.................................................. .090161 .083625 .077573 .071970 .066780 .061974 .057521 .053396 .049573 .046031 41.................................................. .084897 .078595 .072770 .067387 .062412 .057811 .053558 .049625 .045987 .042621 42.................................................. .079941 .073867 .068265 .063097 .058329 .053929 .049868 .046120 .042659 .039464 43.................................................. .075274 .069424 .064038 .059079 .054513 .050307 .046432 .042862 .039572 .036541 44.................................................. .070880 .065248 .060074 .055318 .050946 .046928 .043233 .039835 .036709 .033834 45.................................................. .066742 .061323 .056354 .051796 .047613 .043776 .040254 .037021 .034053 .031328 46.................................................. .062845 .057635 .052865 .048498 .044499 .040836 .037480 .034406 .031589 .029007 47.................................................. .059176 .054168 .049592 .045410 .041587 .038093 .034898 .031976 .029303 .026859 48.................................................. .055722 .050910 .046522 .042519 .038867 .035535 .032493 .029717 .027183 .024869 49.................................................. .052469 .047848 .043641 .039812 .036324 .033148 .030255 .027618 .025216 .023027 50.................................................. .049405 .044970 .040939 .037277 .033948 .030922 .028170 .025668 .023392 .021321 51.................................................. .046521 .042265 .038405 .034903 .031727 .028845 .026229 .023855 .021699 .019742 52.................................................. .043805 .039722 .036027 .032681 .029651 .026907 .024422 .022170 .020129 .018280 53.................................................. .041248 .037333 .033796 .030600 .027711 .025100 .022739 .020604 .018673 .016925 54.................................................. .038840 .035087 .031704 .028652 .025899 .023414 .021172 .019149 .017322 .015672 55.................................................. .036572 .032977 .029741 .026828 .024204 .021842 .019714 .017796 .016068 .014511 56.................................................. .034437 .030993 .027900 .025119 .022621 .020375 .018355 .016539 .014906 .013436 57.................................................. .032427 .029129 .026172 .023520 .021141 .019006 .017091 .015371 .013827 .012441 58.................................................. .030534 .027377 .024552 .022023 .019758 .017730 .015913 .014285 .012827 .011519 59.................................................. .028751 .025730 .023032 .020620 .018465 .016539 .014817 .013276 .011899 .010666 60.................................................. .027073 .024183 .021606 .019307 .017257 .015428 .013796 .012339 .011038 .009876 -------------------------------------------------------------------------------------------------------------------------------------------------------- Table B--Term Certain Remainder Factors Applicable After April 30, 1989 -------------------------------------------------------------------------------------------------------------------------------------------------------- Interest rate Years --------------------------------------------------------------------------------------------------- 8.2% 8.4% 8.6% 8.8% 9.0% 9.2% 9.4% 9.6% 9.8% 10.0% -------------------------------------------------------------------------------------------------------------------------------------------------------- 1................................................... .924214 .922509 .920810 .919118 .917431 .915751 .914077 .912409 .910747 .909091 2................................................... .854172 .851023 .847892 .844777 .841680 .838600 .835536 .832490 .829460 .826446 3................................................... .789438 .785077 .780747 .776450 .772183 .767948 .763744 .759571 .755428 .751315 4................................................... .729610 .724241 .718920 .713649 .708425 .703250 .698121 .693039 .688003 .683013 5................................................... .674316 .668119 .661989 .655927 .649931 .644001 .638136 .632335 .626597 .620921 6................................................... .623213 .616346 .609566 .602874 .596267 .589745 .583305 .576948 .570671 .564474 [[Page 276]] 7................................................... .575982 .568585 .561295 .554112 .547034 .540059 .533186 .526412 .519737 .513158 8................................................... .532331 .524524 .516846 .509294 .501866 .494560 .487373 .480303 .473349 .466507 9................................................... .491988 .483879 .475917 .468101 .460428 .452894 .445496 .438233 .431101 .424098 10.................................................. .454703 .446383 .438230 .430240 .422411 .414738 .407218 .399848 .392624 .385543 11.................................................. .420243 .411792 .403526 .395441 .387533 .379797 .372228 .364824 .357581 .350494 12.................................................. .388394 .379882 .371571 .363457 .355535 .347799 .340245 .332869 .325666 .318631 13.................................................. .358960 .350445 .342147 .334060 .326179 .318497 .311010 .303713 .296599 .289664 14.................................................. .331756 .323288 .315052 .307040 .299246 .291664 .284287 .277110 .270127 .263331 15.................................................. .306613 .298236 .290103 .282206 .274538 .267092 .259860 .252838 .246017 .239392 16.................................................. .283376 .275126 .267130 .259381 .251870 .244589 .237532 .230691 .224059 .217629 17.................................................. .261901 .253806 .245976 .238401 .231073 .223983 .217123 .210485 .204061 .197845 18.................................................. .242052 .234139 .226497 .219119 .211994 .205113 .198467 .192048 .185848 .179859 19.................................................. .223708 .215995 .208561 .201396 .194490 .187832 .181414 .175226 .169260 .163508 20.................................................. .206754 .199257 .192045 .185107 .178431 .172007 .165826 .159878 .154153 .148644 21.................................................. .191085 .183817 .176837 .170135 .163698 .157516 .151578 .145874 .140395 .135131 22.................................................. .176604 .169573 .162834 .156374 .150182 .144245 .138554 .133097 .127864 .122846 23.................................................. .163220 .156432 .149939 .143726 .137781 .132093 .126649 .121439 .116452 .111678 24.................................................. .150850 .144310 .138065 .132101 .126405 .120964 .115767 .110802 .106058 .101526 25.................................................. .139418 .133128 .127132 .121416 .115968 .110773 .105820 .101097 .096592 .092296 26.................................................. .128852 .122811 .117064 .111596 .106393 .101441 .096727 .092241 .087971 .083905 27.................................................. .119087 .113295 .107794 .102570 .097608 .092894 .088416 .084162 .080119 .076278 28.................................................. .110062 .104515 .099258 .094274 .089548 .085068 .080819 .076790 .072968 .069343 29.................................................. .101721 .096416 .091398 .086649 .082155 .077901 .073875 .070064 .066456 .063039 30.................................................. .094012 .088945 .084160 .079640 .075371 .071338 .067527 .063927 .060524 .057309 31.................................................. .086887 .082053 .077495 .073199 .069148 .065328 .061725 .058327 .055122 .052099 32.................................................. .080302 .075694 .071358 .067278 .063438 .059824 .056422 .053218 .050202 .047362 33.................................................. .074216 .069829 .065708 .061837 .058200 .054784 .051574 .048557 .045722 .043057 34.................................................. .068592 .064418 .060504 .056835 .053395 .050168 .047142 .044304 .041641 .039143 35.................................................. .063394 .059426 .055713 .052238 .048986 .045942 .043092 .040423 .037924 .035584 36.................................................. .058589 .054821 .051301 .048013 .044941 .042071 .039389 .036882 .034539 .032349 37.................................................. .054149 .050573 .047239 .044130 .041231 .038527 .036005 .033652 .031457 .029408 38.................................................. .050045 .046654 .043498 .040560 .037826 .035281 .032911 .030704 .028649 .026735 39.................................................. .046253 .043039 .040053 .037280 .034703 .032309 .030083 .028015 .026092 .024304 40.................................................. .042747 .039703 .036881 .034264 .031838 .029587 .027498 .025561 .023763 .022095 41.................................................. .039508 .036627 .033961 .031493 .029209 .027094 .025136 .023322 .021642 .020086 42.................................................. .036514 .033789 .031271 .028946 .026797 .024811 .022976 .021279 .019711 .018260 43.................................................. .033746 .031170 .028795 .026605 .024584 .022721 .021002 .019415 .017951 .016600 44.................................................. .031189 .028755 .026515 .024453 .022555 .020807 .019197 .017715 .016349 .015091 45.................................................. .028825 .026527 .024415 .022475 .020692 .019054 .017548 .016163 .014890 .013719 46.................................................. .026641 .024471 .022482 .020657 .018984 .017449 .016040 .014747 .013561 .012472 47.................................................. .024622 .022575 .020701 .018986 .017416 .015978 .014662 .013456 .012351 .011338 48.................................................. .022756 .020825 .019062 .017451 .015978 .014632 .013402 .012277 .011248 .010307 49.................................................. .021031 .019212 .017552 .016039 .014659 .013400 .012250 .011202 .010244 .009370 50.................................................. .019437 .017723 .016163 .014742 .013449 .012271 .011198 .010221 .009330 .008519 51.................................................. .017964 .016350 .014883 .013550 .012338 .011237 .010236 .009325 .008497 .007744 52.................................................. .016603 .015083 .013704 .012454 .011319 .010290 .009356 .008508 .007739 .007040 53.................................................. .015345 .013914 .012619 .011446 .010385 .009423 .008552 .007763 .007048 .006400 54.................................................. .014182 .012836 .011620 .010521 .009527 .008629 .007817 .007083 .006419 .005818 55.................................................. .013107 .011841 .010699 .009670 .008741 .007902 .007146 .006463 .005846 .005289 56.................................................. .012114 .010923 .009852 .008888 .008019 .007237 .006532 .005897 .005324 .004809 57.................................................. .011196 .010077 .009072 .008169 .007357 .006627 .005971 .005380 .004849 .004371 58.................................................. .010347 .009296 .008354 .007508 .006749 .006069 .005458 .004909 .004416 .003974 59.................................................. .009563 .008576 .007692 .006901 .006192 .005557 .004989 .004479 .004022 .003613 60.................................................. .008838 .007911 .007083 .006343 .005681 .005089 .004560 .004087 .003663 .003284 -------------------------------------------------------------------------------------------------------------------------------------------------------- Table B--Term Certain Remainder Factors Applicable After April 30, 1989 -------------------------------------------------------------------------------------------------------------------------------------------------------- Interest rate Years --------------------------------------------------------------------------------------------------- 10.2% 10.4% 10.6% 10.8% 11.0% 11.2% 11.4% 11.6% 11.8% 12.0% -------------------------------------------------------------------------------------------------------------------------------------------------------- 1................................................... .907441 .905797 .904159 .902527 .900901 .899281 .897666 .896057 .894454 .892857 2................................................... .823449 .820468 .817504 .814555 .811622 .808706 .805804 .802919 .800049 .797194 3................................................... .747232 .743178 .739153 .735158 .731191 .727253 .723343 .719461 .715607 .711780 4................................................... .678069 .673168 .668312 .663500 .658731 .654005 .649321 .644679 .640078 .635518 5................................................... .615307 .609754 .604261 .598827 .593451 .588134 .582873 .577669 .572520 .567427 6................................................... .558355 .552313 .546348 .540457 .534641 .528897 .523225 .517625 .512093 .506631 7................................................... .506674 .500284 .493985 .487777 .481658 .475627 .469682 .463821 .458044 .452349 8................................................... .459777 .453156 .446641 .440232 .433926 .427722 .421617 .415610 .409700 .403883 9................................................... .417221 .410467 .403835 .397322 .390925 .384642 .378472 .372411 .366458 .360610 [[Page 277]] 10.................................................. .378603 .371800 .365131 .358593 .352184 .345901 .339741 .333701 .327780 .321973 11.................................................. .343560 .336775 .330137 .323640 .317283 .311062 .304974 .299016 .293184 .287476 12.................................................. .311760 .305050 .298496 .292094 .285841 .279732 .273765 .267935 .262240 .256675 13.................................................. .282904 .276313 .269888 .263623 .257514 .251558 .245749 .240085 .234561 .229174 14.................................................. .256719 .250284 .244022 .237927 .231995 .226221 .220601 .215130 .209804 .204620 15.................................................. .232957 .226706 .220634 .214735 .209004 .203436 .198026 .192769 .187661 .182696 16.................................................. .211395 .205350 .199489 .193804 .188292 .182946 .177761 .172732 .167854 .163122 17.................................................. .191828 .186005 .180369 .174914 .169633 .164520 .159570 .154778 .150138 .145644 18.................................................. .174073 .168483 .163083 .157864 .152822 .147950 .143241 .138690 .134291 .130040 19.................................................. .157961 .152612 .147453 .142477 .137678 .133048 .128582 .124274 .120117 .116107 20.................................................. .143340 .138235 .133321 .128589 .124034 .119648 .115424 .111357 .107439 .103667 21.................................................. .130073 .125213 .120543 .116055 .111742 .107597 .103612 .099782 .096100 .092560 22.................................................. .118033 .113418 .108990 .104743 .100669 .096760 .093009 .089410 .085957 .082643 23.................................................. .107108 .102733 .098544 .094533 .090693 .087014 .083491 .080117 .076884 .073788 24.................................................. .097195 .093056 .089100 .085319 .081705 .078250 .074947 .071789 .068770 .065882 25.................................................. .088198 .084289 .080560 .077003 .073608 .070369 .067278 .064327 .061511 .058823 26.................................................. .080035 .076349 .072839 .069497 .066314 .063281 .060393 .057641 .055019 .052521 27.................................................. .072627 .069157 .065858 .062723 .059742 .056908 .054213 .051650 .049212 .046894 28.................................................. .065905 .062642 .059547 .056609 .053822 .051176 .048665 .046281 .044018 .041869 29.................................................. .059804 .056741 .053840 .051091 .048488 .046022 .043685 .041470 .039372 .037383 30.................................................. .054269 .051396 .048680 .046111 .043683 .041386 .039214 .037160 .035216 .033378 31.................................................. .049246 .046554 .044014 .041617 .039354 .037218 .035201 .033297 .031500 .029802 32.................................................. .044688 .042169 .039796 .037560 .035454 .033469 .031599 .029836 .028175 .026609 33.................................................. .040552 .038196 .035982 .033899 .031940 .030098 .028365 .026735 .025201 .023758 34.................................................. .036798 .034598 .032533 .030595 .028775 .027067 .025463 .023956 .022541 .021212 35.................................................. .033392 .031339 .029415 .027613 .025924 .024341 .022857 .021466 .020162 .018940 36.................................................. .030301 .028387 .026596 .024921 .023355 .021889 .020518 .019235 .018034 .016910 37.................................................. .027497 .025712 .024047 .022492 .021040 .019684 .018418 .017236 .016131 .015098 38.................................................. .024952 .023290 .021742 .020300 .018955 .017702 .016533 .015444 .014428 .013481 39.................................................. .022642 .021096 .019658 .018321 .017077 .015919 .014841 .013839 .012905 .012036 40.................................................. .020546 .019109 .017774 .016535 .015384 .014316 .013323 .012400 .011543 .010747 41.................................................. .018645 .017309 .016071 .014923 .013860 .012874 .011959 .011111 .010325 .009595 42.................................................. .016919 .015678 .014531 .013469 .012486 .011577 .010735 .009956 .009235 .008567 43.................................................. .015353 .014201 .013138 .012156 .011249 .010411 .009637 .008922 .008260 .007649 44.................................................. .013932 .012864 .011879 .010971 .010134 .009362 .008651 .007994 .007389 .006830 45.................................................. .012642 .011652 .010740 .009902 .009130 .008419 .007765 .007163 .006609 .006098 46.................................................. .011472 .010554 .009711 .008937 .008225 .007571 .006971 .006419 .005911 .005445 47.................................................. .010410 .009560 .008780 .008065 .007410 .006809 .006257 .005752 .005287 .004861 48.................................................. .009447 .008659 .007939 .007279 .006676 .006123 .005617 .005154 .004729 .004340 49.................................................. .008572 .007844 .007178 .006570 .006014 .005506 .005042 .004618 .004230 .003875 50.................................................. .007779 .007105 .006490 .005929 .005418 .004952 .004526 .004138 .003784 .003460 51.................................................. .007059 .006435 .005868 .005351 .004881 .004453 .004063 .003708 .003384 .003089 52.................................................. .006406 .005829 .005306 .004830 .004397 .004005 .003647 .003322 .003027 .002758 53.................................................. .005813 .005280 .004797 .004359 .003962 .003601 .003274 .002977 .002708 .002463 54.................................................. .005275 .004783 .004337 .003934 .003569 .003238 .002939 .002668 .002422 .002199 55.................................................. .004786 .004332 .003922 .003551 .003215 .002912 .002638 .002390 .002166 .001963 56.................................................. .004343 .003924 .003546 .003205 .002897 .002619 .002368 .002142 .001938 .001753 57.................................................. .003941 .003554 .003206 .002892 .002610 .002355 .002126 .001919 .001733 .001565 58.................................................. .003577 .003220 .002899 .002610 .002351 .002118 .001908 .001720 .001550 .001398 59.................................................. .003246 .002916 .002621 .002356 .002118 .001905 .001713 .001541 .001387 .001248 60.................................................. .002945 .002642 .002370 .002126 .001908 .001713 .001538 .001381 .001240 .001114 -------------------------------------------------------------------------------------------------------------------------------------------------------- Table B--Term Certain Remainder Factors Applicable After April 30, 1989 -------------------------------------------------------------------------------------------------------------------------------------------------------- Interest rate Years --------------------------------------------------------------------------------------------------- 12.2% 12.4% 12.6% 12.8% 13.0% 13.2% 13.4% 13.6% 13.8% 14.0% -------------------------------------------------------------------------------------------------------------------------------------------------------- 1................................................... .891266 .889680 .888099 .886525 .884956 .883392 .881834 .880282 .878735 .877193 2................................................... .794354 .791530 .788721 .785926 .783147 .780382 .777632 .774896 .772175 .769468 3................................................... .707981 .704208 .700462 .696743 .693050 .689383 .685742 .682127 .678536 .674972 4................................................... .630999 .626520 .622080 .617680 .613319 .608996 .604711 .600464 .596254 .592080 5................................................... .562388 .557402 .552469 .547589 .542760 .537982 .533255 .528577 .523949 .519369 6................................................... .501237 .495909 .490648 .485451 .480319 .475249 .470242 .465297 .460412 .455587 7................................................... .446735 .441200 .435744 .430364 .425061 .419831 .414676 .409592 .404580 .399637 8................................................... .398160 .392527 .386984 .381529 .376160 .370876 .365675 .360557 .355518 .350559 9................................................... .354866 .349223 .343680 .338235 .332885 .327629 .322465 .317391 .312406 .307508 10.................................................. .316280 .310697 .305222 .299853 .294588 .289425 .284361 .279394 .274522 .269744 11.................................................. .281889 .276421 .271068 .265827 .260698 .255676 .250759 .245945 .241232 .236617 12.................................................. .251238 .245926 .240735 .235663 .230706 .225862 .221128 .216501 .211979 .207559 [[Page 278]] 13.................................................. .223920 .218795 .213797 .208921 .204165 .199525 .194998 .190582 .186273 .182069 14.................................................. .199572 .194658 .189873 .185213 .180677 .176258 .171956 .167766 .163685 .159710 15.................................................. .177872 .173183 .168626 .164196 .159891 .155705 .151637 .147681 .143835 .140096 16.................................................. .158531 .154077 .149757 .145564 .141496 .137549 .133718 .130001 .126393 .122892 17.................................................. .141293 .137080 .132999 .129046 .125218 .121510 .117917 .114438 .111066 .107800 18.................................................. .125930 .121957 .118116 .114403 .110812 .107341 .103984 .100737 .097598 .094561 19.................................................. .112237 .108503 .104899 .101421 .098064 .094824 .091696 .088677 .085762 .082948 20.................................................. .100033 .096533 .093161 .089912 .086782 .083767 .080861 .078061 .075362 .072762 21.................................................. .089156 .085883 .082736 .079709 .076798 .073999 .071306 .068716 .066224 .063826 22.................................................. .079462 .076408 .073478 .070664 .067963 .065370 .062880 .060489 .058193 .055988 23.................................................. .070821 .067979 .065255 .062646 .060144 .057747 .055450 .053247 .051136 .049112 24.................................................. .063121 .060480 .057953 .055537 .053225 .051014 .048898 .046873 .044935 .043081 25.................................................. .056257 .053807 .051468 .049235 .047102 .045065 .043119 .041261 .039486 .037790 26.................................................. .050140 .047871 .045709 .043648 .041683 .039810 .038024 .036321 .034698 .033149 27.................................................. .044688 .042590 .040594 .038695 .036888 .035168 .033531 .031973 .030490 .029078 28.................................................. .039829 .037892 .036052 .034304 .032644 .031067 .029569 .028145 .026793 .025507 29.................................................. .035498 .033711 .032017 .030411 .028889 .027444 .026075 .024776 .023544 .022375 30.................................................. .031638 .029992 .028435 .026960 .025565 .024244 .022994 .021810 .020689 .019627 31.................................................. .028198 .026684 .025253 .023901 .022624 .021417 .020277 .019199 .018180 .017217 32.................................................. .025132 .023740 .022427 .021189 .020021 .018920 .017881 .016900 .015975 .015102 33.................................................. .022399 .021121 .019917 .018785 .017718 .016714 .015768 .014877 .014038 .013248 34.................................................. .019964 .018791 .017689 .016653 .015680 .014765 .013905 .013096 .012336 .011621 35.................................................. .017793 .016718 .015709 .014763 .013876 .013043 .012261 .011528 .010840 .010194 36.................................................. .015858 .014873 .013951 .013088 .012279 .011522 .010813 .010148 .009525 .008942 37.................................................. .014134 .013233 .012390 .011603 .010867 .010178 .009535 .008933 .008370 .007844 38.................................................. .012597 .011773 .011004 .010286 .009617 .008992 .008408 .007864 .007355 .006880 39.................................................. .011227 .010474 .009772 .009119 .008510 .007943 .007415 .006922 .006463 .006035 40.................................................. .010007 .009319 .008679 .008084 .007531 .007017 .006538 .006093 .005679 .005294 41.................................................. .008919 .008291 .007708 .007167 .006665 .006199 .005766 .005364 .004991 .004644 42.................................................. .007949 .007376 .006845 .006354 .005898 .005476 .005085 .004722 .004386 .004074 43.................................................. .007084 .006562 .006079 .005633 .005219 .004837 .004484 .004157 .003854 .003573 44.................................................. .006314 .005838 .005399 .004993 .004619 .004273 .003954 .003659 .003386 .003135 45.................................................. .005628 .005194 .004795 .004427 .004088 .003775 .003487 .003221 .002976 .002750 46.................................................. .005016 .004621 .004258 .003924 .003617 .003335 .003075 .002835 .002615 .002412 47.................................................. .004470 .004111 .003782 .003479 .003201 .002946 .002711 .002496 .002298 .002116 48.................................................. .003984 .003658 .003359 .003084 .002833 .002602 .002391 .002197 .002019 .001856 49.................................................. .003551 .003254 .002983 .002734 .002507 .002299 .002108 .001934 .001774 .001628 50.................................................. .003165 .002895 .002649 .002424 .002219 .002031 .001859 .001702 .001559 .001428 51.................................................. .002821 .002576 .002353 .002149 .001963 .001794 .001640 .001499 .001370 .001253 52.................................................. .002514 .002292 .002089 .001905 .001737 .001585 .001446 .001319 .001204 .001099 53.................................................. .002241 .002039 .001856 .001689 .001538 .001400 .001275 .001161 .001058 .000964 54.................................................. .001997 .001814 .001648 .001497 .001361 .001237 .001124 .001022 .000930 .000846 55.................................................. .001780 .001614 .001463 .001327 .001204 .001093 .000991 .000900 .000817 .000742 56.................................................. .001586 .001436 .001300 .001177 .001066 .000965 .000874 .000792 .000718 .000651 57.................................................. .001414 .001277 .001154 .001043 .000943 .000853 .000771 .000697 .000631 .000571 58.................................................. .001260 .001136 .001025 .000925 .000835 .000753 .000680 .000614 .000554 .000501 59.................................................. .001123 .001011 .000910 .000820 .000739 .000665 .000600 .000540 .000487 .000439 60.................................................. .001001 .000900 .000809 .000727 .000654 .000588 .000529 .000476 .000428 .000385 -------------------------------------------------------------------------------------------------------------------------------------------------------- Table J--Adjustment Factors for Term Certain Annuities Payable at the Beginning of Each Interval Applicable After April 30, 1989 [Frequency of payments] ---------------------------------------------------------------------------------------------------------------- Semi Interest rate Annually annually Quarterly Monthly Weekly ---------------------------------------------------------------------------------------------------------------- 4.2............................................ 1.0420 1.0314 1.0261 1.0226 1.0213 4.4............................................ 1.0440 1.0329 1.0274 1.0237 1.0223 4.6............................................ 1.0460 1.0344 1.0286 1.0247 1.0233 4.8............................................ 1.0480 1.0359 1.0298 1.0258 1.0243 5.0............................................ 1.0500 1.0373 1.0311 1.0269 1.0253 5.2............................................ 1.0520 1.0388 1.0323 1.0279 1.0263 5.4............................................ 1.0540 1.0403 1.0335 1.0290 1.0273 5.6............................................ 1.0560 1.0418 1.0348 1.0301 1.0283 5.8............................................ 1.0580 1.0433 1.0360 1.0311 1.0293 6.0............................................ 1.0600 1.0448 1.0372 1.0322 1.0303 6.2............................................ 1.0620 1.0463 1.0385 1.0333 1.0313 6.4............................................ 1.0640 1.0478 1.0397 1.0343 1.0323 6.6............................................ 1.0660 1.0492 1.0409 1.0354 1.0333 [[Page 279]] 6.8............................................ 1.0680 1.0507 1.0422 1.0365 1.0343 7.0............................................ 1.0700 1.0522 1.0434 1.0375 1.0353 7.2............................................ 1.0720 1.0537 1.0446 1.0386 1.0363 7.4............................................ 1.0740 1.0552 1.0458 1.0396 1.0373 7.6............................................ 1.0760 1.0567 1.0471 1.0407 1.0383 7.8............................................ 1.0780 1.0581 1.0483 1.0418 1.0393 8.0............................................ 1.0800 1.0596 1.0495 1.0428 1.0403 8.2............................................ 1.0820 1.0611 1.0507 1.0439 1.0413 8.4............................................ 1.0840 1.0626 1.0520 1.0449 1.0422 8.6............................................ 1.0860 1.0641 1.0532 1.0460 1.0432 8.8............................................ 1.0880 1.0655 1.0544 1.0471 1.0442 9.0............................................ 1.0900 1.0670 1.0556 1.0481 1.0452 9.2............................................ 1.0920 1.0685 1.0569 1.0492 1.0462 9.4............................................ 1.0940 1.0700 1.0581 1.0502 1.0472 9.6............................................ 1.0960 1.0715 1.0593 1.0513 1.0482 9.8............................................ 1.0980 1.0729 1.0605 1.0523 1.0492 10.0........................................... 1.1000 1.0744 1.0618 1.0534 1.0502 10.2........................................... 1.1020 1.0759 1.0630 1.0544 1.0512 10.4........................................... 1.1040 1.0774 1.0642 1.0555 1.0521 10.6........................................... 1.1060 1.0788 1.0654 1.0565 1.0531 10.8........................................... 1.1080 1.0803 1.0666 1.0576 1.0541 11.0........................................... 1.1100 1.0818 1.0679 1.0586 1.0551 11.2........................................... 1.1120 1.0833 1.0691 1.0597 1.0561 11.4........................................... 1.1140 1.0847 1.0703 1.0607 1.0571 11.6........................................... 1.1160 1.0862 1.0715 1.0618 1.0581 11.8........................................... 1.1180 1.0877 1.0727 1.0628 1.0590 12.0........................................... 1.1200 1.0892 1.0739 1.0639 1.0600 12.2........................................... 1.1220 1.0906 1.0752 1.0649 1.0610 12.4........................................... 1.1240 1.0921 1.0764 1.0660 1.0620 12.6........................................... 1.1260 1.0936 1.0776 1.0670 1.0630 12.8........................................... 1.1280 1.0950 1.0788 1.0681 1.0639 13.0........................................... 1.1300 1.0965 1.0800 1.0691 1.0649 13.2........................................... 1.1320 1.0980 1.0812 1.0701 1.0659 13.4........................................... 1.1340 1.0994 1.0824 1.0712 1.0669 13.6........................................... 1.1360 1.1009 1.0836 1.0722 1.0679 13.8........................................... 1.1380 1.1024 1.0849 1.0733 1.0688 14.0........................................... 1.1400 1.1039 1.0861 1.0743 1.0698 ---------------------------------------------------------------------------------------------------------------- Table K--Adjustment Factors For Annuities Payable At The End Of Each Interval Applicable After April 30, 1989 [Frequency of Payments] ---------------------------------------------------------------------------------------------------------------- Semi Interest Rate Annually annually Quarterly Monthly Weekly ---------------------------------------------------------------------------------------------------------------- 4.2............................................ 1.0000 1.0104 1.0156 1.0191 1.0205 4.4............................................ 1.0000 1.0109 1.0164 1.0200 1.0214 4.6............................................ 1.0000 1.0114 1.0171 1.0209 1.0224 4.8............................................ 1.0000 1.0119 1.0178 1.0218 1.0234 5.0............................................ 1.0000 1.0123 1.0186 1.0227 1.0243 5.2............................................ 1.0000 1.0128 1.0193 1.0236 1.0253 5.4............................................ 1.0000 1.0133 1.0200 1.0245 1.0262 5.6............................................ 1.0000 1.0138 1.0208 1.0254 1.0272 5.8............................................ 1.0000 1.0143 1.0215 1.0263 1.0282 6.0............................................ 1.0000 1.0148 1.0222 1.0272 1.0291 6.2............................................ 1.0000 1.0153 1.0230 1.0281 1.0301 6.4............................................ 1.0000 1.0158 1.0237 1.0290 1.0311 6.6............................................ 1.0000 1.0162 1.0244 1.0299 1.0320 6.8............................................ 1.0000 1.0167 1.0252 1.0308 1.0330 7.0............................................ 1.0000 1.0172 1.0259 1.0317 1.0339 7.2............................................ 1.0000 1.0177 1.0266 1.0326 1.0349 7.4............................................ 1.0000 1.0182 1.0273 1.0335 1.0358 7.6............................................ 1.0000 1.0187 1.0281 1.0344 1.0368 7.8............................................ 1.0000 1.0191 1.0288 1.0353 1.0378 8.0............................................ 1.0000 1.0196 1.0295 1.0362 1.0387 8.2............................................ 1.0000 1.0201 1.0302 1.0370 1.0397 8.4............................................ 1.0000 1.0206 1.0310 1.0379 1.0406 [[Page 280]] 8.6............................................ 1.0000 1.0211 1.0317 1.0388 1.0416 8.8............................................ 1.0000 1.0215 1.0324 1.0397 1.0425 9.0............................................ 1.0000 1.0220 1.0331 1.0406 1.0435 9.2............................................ 1.0000 1.0225 1.0339 1.0415 1.0444 9.4............................................ 1.0000 1.0230 1.0346 1.0424 1.0454 9.6............................................ 1.0000 1.0235 1.0353 1.0433 1.0463 9.8............................................ 1.0000 1.0239 1.0360 1.0442 1.0473 10.0........................................... 1.0000 1.0244 1.0368 1.0450 1.0482 10.2........................................... 1.0000 1.0249 1.0375 1.0459 1.0492 10.4........................................... 1.0000 1.0254 1.0382 1.0468 1.0501 10.6........................................... 1.0000 1.0258 1.0389 1.0477 1.0511 10.8........................................... 1.0000 1.0263 1.0396 1.0486 1.0520 11.0........................................... 1.0000 1.0268 1.0404 1.0495 1.0530 11.2........................................... 1.0000 1.0273 1.0411 1.0503 1.0539 11.4........................................... 1.0000 1.0277 1.0418 1.0512 1.0549 11.6........................................... 1.0000 1.0282 1.0425 1.0521 1.0558 11.8........................................... 1.0000 1.0287 1.0432 1.0530 1.0568 12.0........................................... 1.0000 1.0292 1.0439 1.0539 1.0577 12.2........................................... 1.0000 1.0296 1.0447 1.0548 1.0587 12.4........................................... 1.0000 1.0301 1.0454 1.0556 1.0596 12.6........................................... 1.0000 1.0306 1.0461 1.0565 1.0605 12.8........................................... 1.0000 1.0310 1.0468 1.0574 1.0615 13.0........................................... 1.0000 1.0315 1.0475 1.0583 1.0624 13.2........................................... 1.0000 1.0320 1.0482 1.0591 1.0634 13.4........................................... 1.0000 1.0324 1.0489 1.0600 1.0643 13.6........................................... 1.0000 1.0329 1.0496 1.0609 1.0652 13.8........................................... 1.0000 1.0334 1.0504 1.0618 1.0662 14.0........................................... 1.0000 1.0339 1.0511 1.0626 1.0671 ---------------------------------------------------------------------------------------------------------------- (7) Actuarial Table S and Table 90CM where the valuation date is after April 30, 1999. Except as provided in Sec. 20.7520-2(b) (pertaining to certain limitations on the use of prescribed tables), for determination of the present value of an interest that is dependent on the termination of a life interest, Table 90CM and Table S, single life remainder factors applicable where the valuation date is after April 30, 1999, contained in this paragraph (d)(7) (or Table S and Table 80CNSMT contained in Sec. 20.2031-7A(e)(4) for valuation dates after April 30, 1989, and before May 1, 1999) and Table J and Table K contained in paragraph (d)(6) of this section, must be used in the application of the provisions of this section when the section 7520 interest rate component is between 4.2 and 14 percent. Table S--Based on Life Table 90CM Single Life Remainder Factors Applicable After April 30, 1999 [Interest rate] -------------------------------------------------------------------------------------------------------------------------------------------------------- Age 4.2% 4.4% 4.6% 4.8% 5.0% 5.2% 5.4% 5.6% 5.8% 6.0% -------------------------------------------------------------------------------------------------------------------------------------------------------- 0............................................................. .06752 .06130 .05586 .05109 .04691 .04322 .03998 .03711 .03458 .03233 1............................................................. .06137 .05495 .04932 .04438 .04003 .03620 .03283 .02985 .02721 .02487 2............................................................. .06325 .05667 .05088 .04580 .04132 .03737 .03388 .03079 .02806 .02563 3............................................................. .06545 .05869 .05275 .04752 .04291 .03883 .03523 .03203 .02920 .02668 4............................................................. .06784 .06092 .05482 .04944 .04469 .04048 .03676 .03346 .03052 .02791 5............................................................. .07040 .06331 .05705 .05152 .04662 .04229 .03845 .03503 .03199 .02928 6............................................................. .07310 .06583 .05941 .05372 .04869 .04422 .04025 .03672 .03357 .03076 7............................................................. .07594 .06849 .06191 .05607 .05089 .04628 .04219 .03854 .03528 .03236 8............................................................. .07891 .07129 .06453 .05853 .05321 .04846 .04424 .04046 .03709 .03407 9............................................................. .08203 .07423 .06731 .06115 .05567 .05079 .04643 .04253 .03904 .03592 10............................................................ .08532 .07734 .07024 .06392 .05829 .05326 .04877 .04474 .04114 .03790 11............................................................ .08875 .08059 .07331 .06683 .06104 .05587 .05124 .04709 .04336 .04002 12............................................................ .09233 .08398 .07653 .06989 .06394 .05862 .05385 .04957 .04572 .04226 13............................................................ .09601 .08748 .07985 .07304 .06693 .06146 .05655 .05214 .04816 .04458 14............................................................ .09974 .09102 .08322 .07624 .06997 .06435 .05929 .05474 .05064 .04694 15............................................................ .10350 .09460 .08661 .07946 .07303 .06725 .06204 .05735 .05312 .04930 [[Page 281]] 16............................................................ .10728 .09818 .09001 .08268 .07608 .07014 .06479 .05996 .05559 .05164 17............................................................ .11108 .10179 .09344 .08592 .07916 .07306 .06755 .06257 .05807 .05399 18............................................................ .11494 .10545 .09691 .08921 .08227 .07601 .07034 .06521 .06057 .05636 19............................................................ .11889 .10921 .10047 .09259 .08548 .07904 .07322 .06794 .06315 .05880 20............................................................ .12298 .11310 .10417 .09610 .08881 .08220 .07622 .07078 .06584 .06135 21............................................................ .12722 .11713 .10801 .09976 .09228 .08550 .07935 .07375 .06866 .06403 22............................................................ .13159 .12130 .11199 .10354 .09588 .08893 .08260 .07685 .07160 .06682 23............................................................ .13613 .12563 .11612 .10748 .09964 .09250 .08601 .08009 .07468 .06975 24............................................................ .14084 .13014 .12043 .11160 .10357 .09625 .08958 .08349 .07793 .07284 25............................................................ .14574 .13484 .12493 .11591 .10768 .10018 .09334 .08708 .08135 .07611 26............................................................ .15084 .13974 .12963 .12041 .11199 .10431 .09728 .09085 .08496 .07956 27............................................................ .15615 .14485 .13454 .12513 .11652 .10865 .10144 .09484 .08878 .08322 28............................................................ .16166 .15016 .13965 .13004 .12124 .11319 .10580 .09901 .09279 .08706 29............................................................ .16737 .15567 .14497 .13516 .12617 .11792 .11035 .10339 .09699 .09109 30............................................................ .17328 .16138 .15048 .14047 .13129 .12286 .11510 .10796 .10138 .09532 31............................................................ .17938 .16728 .15618 .14599 .13661 .12799 .12004 .11272 .10597 .09974 32............................................................ .18568 .17339 .16210 .15171 .14214 .13333 .12520 .11769 .11076 .10435 33............................................................ .19220 .17972 .16824 .15766 .14790 .13889 .13058 .12289 .11578 .10920 34............................................................ .19894 .18627 .17460 .16383 .15388 .14468 .13618 .12831 .12102 .11426 35............................................................ .20592 .19307 .18121 .17025 .16011 .15073 .14204 .13399 .12652 .11958 36............................................................ .21312 .20010 .18805 .17691 .16658 .15701 .14814 .13990 .13225 .12514 37............................................................ .22057 .20737 .19514 .18382 .17331 .16356 .15450 .14608 .13825 .13096 38............................................................ .22827 .21490 .20251 .19100 .18031 .17038 .16113 .15253 .14452 .13705 39............................................................ .23623 .22270 .21013 .19845 .18759 .17747 .16805 .15927 .15108 .14344 40............................................................ .24446 .23078 .21805 .20620 .19516 .18487 .17527 .16631 .15795 .15013 41............................................................ .25298 .23915 .22626 .21425 .20305 .19259 .18282 .17368 .16514 .15715 42............................................................ .26178 .24782 .23478 .22262 .21125 .20062 .19069 .18138 .17267 .16450 43............................................................ .27087 .25678 .24360 .23129 .21977 .20898 .19888 .18941 .18053 .17220 44............................................................ .28025 .26603 .25273 .24027 .22860 .21766 .20740 .19777 .18873 .18023 45............................................................ .28987 .27555 .26212 .24953 .23772 .22664 .21622 .20644 .19724 .18858 46............................................................ .29976 .28533 .27179 .25908 .24714 .23591 .22536 .21542 .20606 .19725 47............................................................ .30987 .29535 .28171 .26889 .25682 .24546 .23476 .22468 .21518 .20621 48............................................................ .32023 .30563 .29190 .27897 .26678 .25530 .24447 .23425 .22460 .21549 49............................................................ .33082 .31615 .30234 .28931 .27702 .26543 .25447 .24412 .23434 .22509 50............................................................ .34166 .32694 .31306 .29995 .28756 .27586 .26479 .25432 .24441 .23502 51............................................................ .35274 .33798 .32404 .31085 .29838 .28658 .27541 .26482 .25479 .24528 52............................................................ .36402 .34924 .33525 .32200 .30946 .29757 .28630 .27561 .26547 .25584 53............................................................ .37550 .36070 .34668 .33339 .32078 .30882 .29746 .28667 .27643 .26669 54............................................................ .38717 .37237 .35833 .34500 .33234 .32031 .30888 .29801 .28766 .27782 55............................................................ .39903 .38424 .37019 .35683 .34413 .33205 .32056 .30961 .29918 .28925 56............................................................ .41108 .39631 .38227 .36890 .35617 .34405 .33250 .32149 .31099 .30097 57............................................................ .42330 .40857 .39455 .38118 .36844 .35629 .34469 .33363 .32306 .31297 58............................................................ .43566 .42098 .40699 .39364 .38089 .36873 .35710 .34600 .33538 .32522 59............................................................ .44811 .43351 .41956 .40623 .39350 .38133 .36968 .35855 .34789 .33768 60............................................................ .46066 .44613 .43224 .41896 .40624 .39408 .38243 .37127 .36058 .35033 61............................................................ .47330 .45887 .44505 .43182 .41914 .40699 .39535 .38418 .37347 .36318 62............................................................ .48608 .47175 .45802 .44485 .43223 .42011 .40848 .39732 .38660 .37629 63............................................................ .49898 .48478 .47115 .45807 .44550 .43343 .42184 .41069 .39997 .38966 64............................................................ .51200 .49793 .48442 .47143 .45895 .44694 .43539 .42427 .41357 .40326 65............................................................ .52512 .51121 .49782 .48495 .47255 .46062 .44912 .43805 .42738 .41709 66............................................................ .53835 .52461 .51137 .49862 .48634 .47449 .46307 .45206 .44143 .43118 67............................................................ .55174 .53818 .52511 .51250 .50034 .48860 .47727 .46633 .45576 .44556 68............................................................ .56524 .55188 .53899 .52654 .51452 .50291 .49168 .48083 .47034 .46020 69............................................................ .57882 .56568 .55299 .54071 .52885 .51737 .50627 .49552 .48513 .47506 70............................................................ .59242 .57951 .56703 .55495 .54325 .53193 .52096 .51034 .50004 .49007 71............................................................ .60598 .59332 .58106 .56918 .55767 .54651 .53569 .52520 .51503 .50516 72............................................................ .61948 .60707 .59504 .58338 .57206 .56108 .55043 .54009 .53004 .52029 73............................................................ .63287 .62073 .60895 .59751 .58640 .57561 .56513 .55495 .54505 .53543 74............................................................ .64621 .63435 .62282 .61162 .60073 .59015 .57985 .56984 .56009 .55061 75............................................................ .65953 .64796 .63671 .62575 .61510 .60473 .59463 .58480 .57523 .56591 76............................................................ .67287 .66160 .65063 .63995 .62954 .61940 .60952 .59989 .59050 .58135 77............................................................ .68622 .67526 .66459 .65419 .64404 .63415 .62450 .61509 .60590 .59694 78............................................................ .69954 .68892 .67856 .66845 .65858 .64895 .63955 .63036 .62140 .61264 79............................................................ .71278 .70250 .69246 .68265 .67308 .66372 .65457 .64563 .63690 .62836 80............................................................ .72581 .71588 .70618 .69668 .68740 .67833 .66945 .66077 .65227 .64396 81............................................................ .73857 .72899 .71962 .71045 .70147 .69268 .68408 .67566 .66741 .65933 82............................................................ .75101 .74178 .73274 .72389 .71522 .70672 .69840 .69024 .68225 .67441 83............................................................ .76311 .75423 .74553 .73700 .72864 .72044 .71240 .70451 .69678 .68919 84............................................................ .77497 .76645 .75809 .74988 .74183 .73393 .72618 .71857 .71110 .70377 85............................................................ .78665 .77848 .77047 .76260 .75487 .74728 .73982 .73250 .72530 .71823 [[Page 282]] 86............................................................ .79805 .79025 .78258 .77504 .76764 .76036 .75320 .74617 .73925 .73245 87............................................................ .80904 .80159 .79427 .78706 .77998 .77301 .76615 .75940 .75277 .74624 88............................................................ .81962 .81251 .80552 .79865 .79188 .78521 .77865 .77220 .76584 .75958 89............................................................ .82978 .82302 .81636 .80980 .80335 .79699 .79072 .78455 .77847 .77248 90............................................................ .83952 .83309 .82676 .82052 .81437 .80831 .80234 .79645 .79064 .78492 91............................................................ .84870 .84260 .83658 .83064 .82479 .81902 .81332 .80771 .80217 .79671 92............................................................ .85716 .85136 .84563 .83998 .83441 .82891 .82348 .81812 .81283 .80761 93............................................................ .86494 .85942 .85396 .84858 .84326 .83801 .83283 .82771 .82266 .81767 94............................................................ .87216 .86690 .86170 .85657 .85149 .84648 .84153 .83664 .83181 .82704 95............................................................ .87898 .87397 .86902 .86412 .85928 .85450 .84977 .84510 .84049 .83592 96............................................................ .88537 .88060 .87587 .87121 .86659 .86203 .85751 .85305 .84864 .84427 97............................................................ .89127 .88672 .88221 .87775 .87335 .86898 .86467 .86040 .85618 .85200 98............................................................ .89680 .89245 .88815 .88389 .87968 .87551 .87138 .86730 .86326 .85926 99............................................................ .90217 .89803 .89393 .88987 .88585 .88187 .87793 .87402 .87016 .86633 100........................................................... .90738 .90344 .89953 .89567 .89183 .88804 .88428 .88056 .87687 .87322 101........................................................... .91250 .90876 .90504 .90137 .89772 .89412 .89054 .88699 .88348 .88000 102........................................................... .91751 .91396 .91045 .90696 .90350 .90007 .89668 .89331 .88997 .88666 103........................................................... .92247 .91912 .91579 .91249 .90922 .90598 .90276 .89957 .89640 .89326 104........................................................... .92775 .92460 .92148 .91839 .91532 .91227 .90924 .90624 .90326 .90031 105........................................................... .93290 .92996 .92704 .92415 .92127 .91841 .91558 .91276 .90997 .90719 106........................................................... .93948 .93680 .93415 .93151 .92889 .92628 .92370 .92113 .91857 .91604 107........................................................... .94739 .94504 .94271 .94039 .93808 .93579 .93351 .93124 .92899 .92675 108........................................................... .95950 .95767 .95585 .95404 .95224 .95045 .94867 .94689 .94512 .94336 109........................................................... .97985 .97893 .97801 .97710 .97619 .97529 .97438 .97348 .97259 .97170 -------------------------------------------------------------------------------------------------------------------------------------------------------- Age 6.2% 6.4% 6.6% 6.8% 7.0% 7.2% 7.4% 7.6% 7.8% 8.0% -------------------------------------------------------------------------------------------------------------------------------------------------------- 0............................................................. .03034 .02857 .02700 .02559 .02433 .02321 .02220 .02129 .02047 .01973 1............................................................. .02279 .02094 .01929 .01782 .01650 .01533 .01427 .01331 .01246 .01168 2............................................................. .02347 .02155 .01983 .01829 .01692 .01569 .01458 .01358 .01268 .01187 3............................................................. .02444 .02243 .02065 .01905 .01761 .01632 .01516 .01412 .01317 .01232 4............................................................. .02558 .02349 .02163 .01996 .01846 .01712 .01590 .01481 .01382 .01292 5............................................................. .02686 .02469 .02275 .02101 .01945 .01804 .01677 .01562 .01458 .01364 6............................................................. .02825 .02600 .02398 .02217 .02053 .01906 .01773 .01653 .01544 .01445 7............................................................. .02976 .02742 .02532 .02343 .02172 .02019 .01880 .01754 .01640 .01536 8............................................................. .03137 .02894 .02675 .02479 .02301 .02140 .01995 .01864 .01744 .01635 9............................................................. .03311 .03059 .02832 .02627 .02442 .02274 .02122 .01985 .01859 .01745 10............................................................ .03499 .03237 .03001 .02788 .02595 .02420 .02262 .02118 .01987 .01867 11............................................................ .03700 .03428 .03183 .02961 .02760 .02578 .02413 .02262 .02125 .02000 12............................................................ .03913 .03632 .03377 .03146 .02937 .02748 .02575 .02418 .02275 .02144 13............................................................ .04135 .03843 .03579 .03339 .03122 .02924 .02744 .02580 .02431 .02294 14............................................................ .04359 .04057 .03783 .03534 .03308 .03102 .02915 .02744 .02587 .02444 15............................................................ .04584 .04270 .03986 .03728 .03493 .03279 .03083 .02905 .02742 .02593 16............................................................ .04806 .04482 .04187 .03919 .03674 .03452 .03248 .03063 .02892 .02736 17............................................................ .05029 .04692 .04387 .04108 .03855 .03623 .03411 .03218 .03040 .02877 18............................................................ .05253 .04905 .04588 .04299 .04036 .03795 .03574 .03373 .03187 .03017 19............................................................ .05484 .05124 .04796 .04496 .04222 .03972 .03742 .03532 .03339 .03161 20............................................................ .05726 .05354 .05013 .04702 .04418 .04158 .03919 .03700 .03498 .03313 21............................................................ .05980 .05595 .05242 .04920 .04625 .04354 .04105 .03877 .03667 .03473 22............................................................ .06246 .05847 .05482 .05147 .04841 .04559 .04301 .04063 .03844 .03642 23............................................................ .06524 .06112 .05734 .05387 .05069 .04777 .04508 .04260 .04032 .03821 24............................................................ .06819 .06392 .06001 .05642 .05312 .05008 .04728 .04470 .04232 .04012 25............................................................ .07131 .06690 .06285 .05913 .05570 .05255 .04964 .04695 .04447 .04218 26............................................................ .07460 .07005 .06586 .06200 .05845 .05518 .05215 .04936 .04677 .04438 27............................................................ .07810 .07340 .06907 .06508 .06140 .05800 .05485 .05195 .04925 .04676 28............................................................ .08179 .07693 .07246 .06833 .06451 .06098 .05772 .05469 .05189 .04929 29............................................................ .08566 .08065 .07603 .07176 .06780 .06414 .06075 .05761 .05469 .05198 30............................................................ .08973 .08456 .07978 .07536 .07127 .06748 .06396 .06069 .05766 .05483 31............................................................ .09398 .08865 .08372 .07915 .07491 .07098 .06733 .06394 .06078 .05785 32............................................................ .09843 .09294 .08785 .08313 .07875 .07468 .07089 .06737 .06409 .06103 33............................................................ .10310 .09745 .09220 .08732 .08279 .07858 .07466 .07100 .06759 .06441 34............................................................ .10799 .10217 .09676 .09173 .08705 .08269 .07862 .07483 .07129 .06798 35............................................................ .11314 .10715 .10157 .09638 .09155 .08704 .08283 .07890 .07522 .07179 36............................................................ .11852 .11236 .10662 .10127 .09628 .09162 .08726 .08319 .07938 .07581 37............................................................ .12416 .11783 .11193 .10641 .10126 .09645 .09194 .08772 .08377 .08006 38............................................................ .13009 .12359 .11751 .11183 .10652 .10155 .09689 .09253 .08843 .08459 39............................................................ .13629 .12962 .12338 .11753 .11206 .10693 .10212 .09761 .09337 .08938 40............................................................ .14281 .13597 .12955 .12355 .11791 .11262 .10766 .10299 .09860 .09447 41............................................................ .14966 .14264 .13606 .12989 .12409 .11864 .11352 .10870 .10417 .09989 42............................................................ .15685 .14966 .14291 .13657 .13061 .12500 .11972 .11475 .11006 .10564 [[Page 283]] 43............................................................ .16437 .15702 .15010 .14360 .13747 .13171 .12627 .12115 .11631 .11174 44............................................................ .17224 .16472 .15764 .15098 .14469 .13876 .13317 .12789 .12290 .11819 45............................................................ .18042 .17274 .16550 .15867 .15223 .14615 .14040 .13496 .12982 .12496 46............................................................ .18893 .18110 .17370 .16671 .16011 .15387 .14796 .14238 .13708 .13207 47............................................................ .19775 .18975 .18220 .17505 .16830 .16190 .15584 .15010 .14466 .13950 48............................................................ .20688 .19873 .19102 .18373 .17682 .17027 .16406 .15817 .15258 .14727 49............................................................ .21633 .20804 .20018 .19274 .18568 .17898 .17262 .16658 .16084 .15539 50............................................................ .22612 .21769 .20969 .20210 .19490 .18805 .18155 .17536 .16948 .16388 51............................................................ .23625 .22769 .21955 .21182 .20448 .19749 .19084 .18452 .17849 .17275 52............................................................ .24669 .23799 .22973 .22186 .21438 .20726 .20047 .19400 .18784 .18196 53............................................................ .25742 .24861 .24022 .23222 .22461 .21735 .21043 .20383 .19753 .19151 54............................................................ .26845 .25952 .25101 .24290 .23516 .22777 .22072 .21399 .20756 .20140 55............................................................ .27978 .27074 .26212 .25389 .24604 .23853 .23136 .22450 .21793 .21166 56............................................................ .29140 .28227 .27355 .26522 .25725 .24963 .24233 .23535 .22867 .22227 57............................................................ .30333 .29411 .28529 .27686 .26879 .26106 .25365 .24656 .23976 .23324 58............................................................ .31551 .30621 .29731 .28878 .28061 .27278 .26528 .25807 .25116 .24453 59............................................................ .32790 .31854 .30956 .30095 .29269 .28477 .27716 .26986 .26284 .25610 60............................................................ .34050 .33107 .32202 .31334 .30500 .29699 .28929 .28190 .27478 .26794 61............................................................ .35331 .34384 .33473 .32598 .31757 .30948 .30170 .29422 .28701 .28007 62............................................................ .36639 .35688 .34772 .33892 .33044 .32229 .31443 .30687 .29958 .29255 63............................................................ .37974 .37020 .36101 .35216 .34363 .33542 .32750 .31986 .31250 .30539 64............................................................ .39334 .38378 .37456 .36568 .35711 .34884 .34087 .33317 .32574 .31857 65............................................................ .40718 .39761 .38838 .37947 .37087 .36257 .35455 .34681 .33932 .33208 66............................................................ .42128 .41172 .40249 .39357 .38496 .37663 .36858 .36079 .35326 .34597 67............................................................ .43569 .42616 .41694 .40803 .39941 .39107 .38299 .37518 .36761 .36028 68............................................................ .45038 .44089 .43170 .42281 .41419 .40585 .39777 .38994 .38235 .37499 69............................................................ .46531 .45587 .44672 .43786 .42927 .42094 .41286 .40503 .39743 .39006 70............................................................ .48040 .47103 .46194 .45312 .44456 .43626 .42820 .42038 .41278 .40540 71............................................................ .49558 .48629 .47727 .46851 .46000 .45174 .44371 .43591 .42832 .42095 72............................................................ .51082 .50162 .49268 .48399 .47554 .46733 .45934 .45157 .44401 .43666 73............................................................ .52607 .51697 .50813 .49952 .49114 .48299 .47506 .46733 .45981 .45249 74............................................................ .54139 .53241 .52367 .51515 .50686 .49879 .49092 .48325 .47578 .46849 75............................................................ .55683 .54798 .53936 .53095 .52276 .51477 .50698 .49938 .49197 .48474 76............................................................ .57243 .56373 .55524 .54696 .53888 .53100 .52330 .51579 .50846 .50130 77............................................................ .58819 .57965 .57132 .56318 .55523 .54747 .53988 .53247 .52523 .51815 78............................................................ .60408 .59572 .58755 .57957 .57177 .56414 .55668 .54939 .54225 .53527 79............................................................ .62001 .61184 .60385 .59604 .58840 .58092 .57360 .56644 .55943 .55256 80............................................................ .63582 .62786 .62007 .61244 .60497 .59765 .59048 .58347 .57659 .56985 81............................................................ .65142 .64367 .63608 .62864 .62135 .61421 .60721 .60034 .59361 .58701 82............................................................ .66673 .65920 .65182 .64458 .63748 .63052 .62368 .61698 .61041 .60395 83............................................................ .68175 .67444 .66728 .66024 .65334 .64656 .63991 .63338 .62696 .62066 84............................................................ .69657 .68950 .68256 .67574 .66904 .66246 .65599 .64964 .64340 .63727 85............................................................ .71128 .70446 .69775 .69116 .68467 .67830 .67204 .66587 .65982 .65386 86............................................................ .72576 .71919 .71272 .70636 .70010 .69394 .68789 .68193 .67606 .67029 87............................................................ .73981 .73349 .72726 .72114 .71511 .70917 .70333 .69757 .69190 .68632 88............................................................ .75342 .74735 .74137 .73548 .72968 .72396 .71833 .71279 .70732 .70194 89............................................................ .76658 .76076 .75503 .74938 .74381 .73832 .73290 .72757 .72231 .71712 90............................................................ .77928 .77371 .76823 .76281 .75748 .75221 .74702 .74190 .73684 .73186 91............................................................ .79131 .78600 .78075 .77557 .77046 .76542 .76044 .75553 .75068 .74589 92............................................................ .80246 .79737 .79235 .78740 .78250 .77767 .77290 .76818 .76353 .75893 93............................................................ .81274 .80788 .80307 .79832 .79363 .78899 .78441 .77989 .77542 .77100 94............................................................ .82232 .81766 .81306 .80850 .80401 .79956 .79517 .79082 .78653 .78228 95............................................................ .83141 .82695 .82254 .81818 .81387 .80961 .80539 .80122 .79710 .79302 96............................................................ .83996 .83569 .83147 .82729 .82316 .81907 .81503 .81103 .80707 .80315 97............................................................ .84787 .84378 .83973 .83573 .83176 .82784 .82396 .82012 .81632 .81255 98............................................................ .85530 .85138 .84750 .84366 .83985 .83609 .83236 .82867 .82502 .82140 99............................................................ .86255 .85880 .85508 .85140 .84776 .84415 .84057 .83703 .83353 .83005 100........................................................... .86960 .86601 .86246 .85894 .85546 .85200 .84858 .84519 .84183 .83849 101........................................................... .87655 .87313 .86974 .86638 .86305 .85975 .85648 .85324 .85003 .84684 102........................................................... .88338 .88012 .87689 .87369 .87052 .86738 .86426 .86116 .85809 .85505 103........................................................... .89015 .88706 .88399 .88095 .87793 .87494 .87197 .86903 .86611 .86321 104........................................................... .89737 .89446 .89157 .88871 .88586 .88304 .88024 .87745 .87469 .87195 105........................................................... .90443 .90170 .89898 .89628 .89360 .89094 .88830 .88568 .88307 .88049 106........................................................... .91351 .91101 .90852 .90605 .90359 .90115 .89873 .89632 .89392 .89154 107........................................................... .92452 .92230 .92010 .91791 .91573 .91356 .91141 .90927 .90714 .90502 108........................................................... .94161 .93987 .93814 .93641 .93469 .93298 .93128 .92958 .92790 .92622 109........................................................... .97081 .96992 .96904 .96816 .96729 .96642 .96555 .96468 .96382 .96296 -------------------------------------------------------------------------------------------------------------------------------------------------------- Age 8.2% 8.4% 8.6% 8.8% 9.0% 9.2% 9.4% 9.6% 9.8% 10.0% -------------------------------------------------------------------------------------------------------------------------------------------------------- 0............................................................. .01906 .01845 .01790 .01740 .01694 .01652 .01613 .01578 .01546 .01516 1............................................................. .01098 .01034 .00977 .00924 .00876 .00833 .00793 .00756 .00722 .00691 2............................................................. .01113 .01046 .00986 .00930 .00880 .00834 .00791 .00753 .00717 .00684 3............................................................. .01155 .01084 .01020 .00962 .00909 .00860 .00816 .00775 .00737 .00702 [[Page 284]] 4............................................................. .01211 .01137 .01069 .01008 .00952 .00900 .00853 .00810 .00770 .00733 5............................................................. .01279 .01201 .01130 .01065 .01006 .00952 .00902 .00856 .00814 .00775 6............................................................. .01356 .01274 .01199 .01131 .01068 .01011 .00959 .00910 .00865 .00824 7............................................................. .01442 .01356 .01277 .01205 .01140 .01079 .01023 .00972 .00925 .00881 8............................................................. .01536 .01446 .01363 .01287 .01218 .01154 .01096 .01041 .00991 .00945 9............................................................. .01641 .01546 .01460 .01380 .01307 .01240 .01178 .01120 .01068 .01019 10............................................................ .01758 .01659 .01567 .01484 .01407 .01336 .01270 .01210 .01154 .01103 11............................................................ .01886 .01781 .01686 .01598 .01517 .01442 .01373 .01310 .01251 .01196 12............................................................ .02024 .01915 .01814 .01721 .01636 .01558 .01485 .01419 .01357 .01299 13............................................................ .02168 .02054 .01948 .01851 .01762 .01679 .01603 .01533 .01467 .01407 14............................................................ .02313 .02193 .02083 .01981 .01887 .01801 .01721 .01646 .01578 .01514 15............................................................ .02456 .02330 .02214 .02107 .02009 .01918 .01834 .01756 .01684 .01617 16............................................................ .02593 .02462 .02340 .02229 .02126 .02030 .01942 .01860 .01785 .01714 17............................................................ .02728 .02590 .02463 .02346 .02238 .02138 .02046 .01960 .01880 .01806 18............................................................ .02861 .02717 .02584 .02462 .02348 .02243 .02146 .02056 .01972 .01894 19............................................................ .02998 .02847 .02708 .02580 .02461 .02351 .02249 .02154 .02066 .01984 20............................................................ .03142 .02984 .02839 .02704 .02580 .02465 .02357 .02258 .02165 .02079 21............................................................ .03295 .03130 .02978 .02837 .02706 .02585 .02473 .02368 .02271 .02180 22............................................................ .03455 .03283 .03124 .02976 .02839 .02712 .02594 .02484 .02382 .02286 23............................................................ .03626 .03446 .03279 .03124 .02981 .02847 .02723 .02608 .02500 .02400 24............................................................ .03809 .03620 .03446 .03283 .03133 .02993 .02863 .02741 .02628 .02522 25............................................................ .04005 .03808 .03625 .03456 .03298 .03151 .03014 .02887 .02768 .02656 26............................................................ .04216 .04010 .03819 .03641 .03476 .03322 .03178 .03044 .02919 .02802 27............................................................ .04444 .04229 .04029 .03843 .03670 .03508 .03357 .03217 .03085 .02962 28............................................................ .04687 .04463 .04254 .04059 .03877 .03708 .03550 .03402 .03263 .03133 29............................................................ .04946 .04712 .04493 .04289 .04099 .03922 .03756 .03600 .03455 .03318 30............................................................ .05221 .04976 .04748 .04534 .04335 .04149 .03975 .03812 .03659 .03515 31............................................................ .05511 .05255 .05017 .04794 .04585 .04390 .04208 .04037 .03876 .03725 32............................................................ .05818 .05551 .05302 .05069 .04851 .04647 .04455 .04276 .04107 .03948 33............................................................ .06144 .05866 .05606 .05363 .05135 .04921 .04720 .04532 .04355 .04188 34............................................................ .06489 .06200 .05928 .05674 .05436 .05212 .05002 .04805 .04619 .04444 35............................................................ .06857 .06555 .06273 .06007 .05758 .05524 .05304 .05097 .04902 .04718 36............................................................ .07246 .06932 .06638 .06361 .06101 .05856 .05626 .05409 .05205 .05012 37............................................................ .07659 .07332 .07025 .06737 .06466 .06210 .05969 .05742 .05528 .05325 38............................................................ .08098 .07758 .07439 .07138 .06855 .06588 .06336 .06099 .05874 .05662 39............................................................ .08563 .08210 .07878 .07565 .07270 .06992 .06729 .06480 .06245 .06023 40............................................................ .09059 .08692 .08347 .08021 .07714 .07423 .07149 .06889 .06643 .06411 41............................................................ .09586 .09206 .08848 .08509 .08189 .07886 .07600 .07329 .07072 .06828 42............................................................ .10147 .09753 .09381 .09029 .08696 .08381 .08083 .07800 .07531 .07277 43............................................................ .10742 .10334 .09948 .09583 .09237 .08909 .08598 .08304 .08024 .07758 44............................................................ .11373 .10950 .10551 .10172 .09813 .09472 .09148 .08841 .08549 .08272 45............................................................ .12035 .11599 .11185 .10792 .10420 .10066 .09730 .09410 .09106 .08817 46............................................................ .12732 .12281 .11853 .11447 .11061 .10694 .10345 .10013 .09696 .09395 47............................................................ .13460 .12995 .12553 .12133 .11733 .11353 .10991 .10646 .10317 .10004 48............................................................ .14223 .13743 .13287 .12853 .12439 .12046 .11671 .11313 .10972 .10646 49............................................................ .15020 .14526 .14056 .13608 .13181 .12774 .12385 .12015 .11661 .11322 50............................................................ .15855 .15347 .14862 .14401 .13960 .13540 .13138 .12754 .12388 .12037 51............................................................ .16727 .16205 .15707 .15232 .14777 .14344 .13929 .13532 .13153 .12789 52............................................................ .17634 .17098 .16587 .16097 .15630 .15183 .14755 .14345 .13953 .13577 53............................................................ .18576 .18027 .17501 .16999 .16518 .16057 .15616 .15194 .14789 .14400 54............................................................ .19552 .18990 .18451 .17935 .17441 .16968 .16514 .16078 .15661 .15260 55............................................................ .20564 .19989 .19437 .18908 .18402 .17915 .17449 .17001 .16571 .16157 56............................................................ .21613 .21025 .20461 .19919 .19400 .18901 .18422 .17962 .17519 .17093 57............................................................ .22698 .22098 .21522 .20968 .20436 .19925 .19434 .18961 .18507 .18069 58............................................................ .23816 .23204 .22616 .22051 .21507 .20984 .20481 .19996 .19530 .19080 59............................................................ .24962 .24339 .23740 .23163 .22608 .22073 .21558 .21062 .20584 .20123 60............................................................ .26136 .25502 .24892 .24304 .23738 .23192 .22666 .22158 .21669 .21196 61............................................................ .27339 .26695 .26075 .25477 .24900 .24343 .23806 .23288 .22787 .22304 62............................................................ .28578 .27925 .27295 .26687 .26100 .25533 .24985 .24456 .23945 .23451 63............................................................ .29854 .29192 .28553 .27935 .27339 .26762 .26205 .25666 .25145 .24641 64............................................................ .31164 .30494 .29846 .29221 .28615 .28030 .27463 .26915 .26384 .25870 65............................................................ .3250