Monday April 15, 2024

Reg. 20.2031-7 Valuation of Annuities, Interests for Life or Term of Years, and Remainder or Reversionary Interests

Description

(a) In general.- Except as otherwise provided in paragraph (b) of this section and §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 §20.2031-8. See §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 on or after May 1, 2009, 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, 2009, is determined under the following sections:

Valuation date
AfterBeforeApplicable regulations
12-31-5101-01-7120.2031-7A(b)
12-31-7012-01-8320.2031-7A(c)
11-30-8305-01-8920.2031-7A(d)
04-30-8905-01-9920.2031-7A(e)
04-30-9905-01-0920.2031-7A(f)

(d) Actuarial valuations on or after May 1, 2009

(1) In general.- Except as otherwise provided in paragraph (b) of this section and §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 on or after May 1, 2009, 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 §§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 §1.642(c)-5 of this chapter, is its value determined under §1.642(c)-6(e). The fair market value of a remainder interest in a charitable remainder annuity trust, as defined in §1.664-2(a), is the present value determined under §1.664-2(c). The fair market value of a remainder interest in a charitable remainder unitrust, as defined in §1.664-3, is its present value determined under §1.664-4(e). 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 §1.664-4(e)(4) and (5).

(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 in 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 (for one measuring life when the valuation date is on or after May 1, 2009) is contained in paragraph (d)(7) of this section and in Internal Revenue Service Publication 1457. See §20.2031-7A containing Table S for valuation of interests before May 1, 2009. 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 non income-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 a remainder interest after a term of years in Table B and after the life of one individual in Table S (for one measuring life when the valuation date is on or after May 1, 2009). 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 (or in §20.2031-7A). 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 for a remainder interest in Table B (after an annuity payable for a term of years) and in Table S (after an annuity payable for the life of one individual when the valuation date is on or after May 1, 2009). 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 (or in §20.2031-7A). 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 on or after May 1, 2009) 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 5.6 percent. Under Table S in paragraph (d)(7) of this section, the remainder factor at 5.6 percent for an individual aged 72 is .53243. By converting the remainder factor to an annuity factor, as described above, the annuity factor at 5.6 percent for an individual aged 72 is 8.3495 (1.000000 minus .53243, divided by .056). Under Table K in 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 5.6 percent is 1.0254. The aggregate annual amount, $15,000, is multiplied by the factor 8.3495 and the product is multiplied by 1.0254. The present value of the annuity at the date of the decedent's death is, therefore, $128,423.66 ($15,000 x 8.3495 × 1.0254).

(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 §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 on or after May 1, 2009, and if on May 1, 2009, 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 examples, see §20.2031-7A(d).

(ii) If a decedent dies on or after May 1, 2009, and before July 1, 2009, 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 §§20.7520-1(b) and 20.7520-2(a)(2)) and the appropriate actuarial tables under either paragraph (d)(7) of this section or §20.2031-7A(f)(4), at the option of the decedent's executor.

(iii) For purposes of paragraphs (d)(3)(i) and (d)(3)(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 §20.2031-7A(f)(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 paragraph (d)(6) or (d)(7) of this section are included in Internal Revenue Service Publication 1457, "Actuarial Valuations Version 3A" (2009). Publication 1457 also includes examples that illustrate how to compute many special factors for more unusual situations. This publication is available, at no charge, electronically via the Internal Revenue Service Internet site at www.irs.gov. 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 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 §§601.201 and 601.601(d)(2)(ii)(b) of this chapter) and must 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 and 5 months old. In the month in which the decedent died, the section 7520 rate was 6.2 percent. Under Table S in paragraph (d)(7) of this section, the remainder factor at 6.2 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 .18672. The present value of the remainder interest at the date of the decedent's death is, therefore, $9,336.00 ($50,000 X .18672).

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 and 10 months old. The Section 7520 rate at the time of the parent's death was 6.2 percent. Under Table S in paragraph (d)(7) of this section, the remainder factor at 6.2 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 .08697. 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 .91303. The present value of A's interest at the time of the parent's death is, therefore, $45,651.50 ($50,000 X .91303).

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 per 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 and 7 months old. Also, at A's death, the Section 7520 rate was 4.8 percent. Under Table S in paragraph (d)(7) of this section, the factor at 4.8 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 .24774. 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 15.6721 (1.000000 minus .24774, divided by .048). The adjustment factor from Table K in paragraph (d)(6) of this section at an interest rate of 4.8 percent for semiannual annuity payments made at the end of the period is 1.0119. The present value of the annuity at the date of A's death is, therefore, $158,585.98 ($10,000 X 15.6721 X 1.0119).

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 per 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 been made immediately 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 (1.000000 minus .626597, divided by .098). 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 §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.


TABLE B. -- TERM CERTAIN REMAINDER FACTORS APPLICABLE AFTER APRIL 30, 1989


YearsInterest rate
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

YearsInterest rate
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
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

YearsInterest rate
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
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

YearsInterest rate
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
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

YearsInterest rate
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
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


Interest rateFrequency of Payments
AnnuallySemi AnnuallyQuarterlyMonthlyWeekly
4.2 1.04201.03141.02611.02261.0213
4.4 1.04401.03291.02741.02371.0223
4.6 1.04601.03441.02861.02471.0233
4.8 1.04801.03591.02981.02581.0243
5.0 1.05001.03731.03111.02691.0253
5.2 1.05201.03881.03231.02791.0263
5.4 1.05401.04031.03351.02901.0273
5.6 1.05601.04181.03481.03011.0283
5.8 1.05801.04331.03601.03111.0293
6.0 1.06001.04481.03721.03221.0303
6.2 1.06201.04631.03851.03331.0313
6.4 1.06401.04781.03971.03431.0323
6.6 1.06601.04921.04091.03541.0333
6.8 1.06801.05071.04221.03651.0343
7.0 1.07001.05221.04341.03751.0353
7.2 1.07201.05371.04461.03861.0363
7.4 1.07401.05521.04581.03961.0373
7.6 1.07601.05671.04711.04071.0383
7.8 1.07801.05811.04831.04181.0393
8.0 1.08001.05961.04951.04281.0403
8.2 1.08201.06111.05071.04391.0413
8.4 1.08401.06261.05201.04491.0422
8.6 1.08601.06411.05321.04601.0432
8.8 1.08801.06551.05441.04711.0442
9.0 1.09001.06701.05561.04811.0452
9.2 1.09201.06851.05691.04921.0462
9.4 1.09401.07001.05811.05021.0472
9.6 1.09601.07151.05931.05131.0482
9.8 1.09801.07291.06051.05231.0492
10.01.10001.07441.06181.05341.0502
10.21.10201.07591.06301.05441.0512
10.41.10401.07741.06421.05551.0521
10.61.10601.07881.06541.05651.0531
10.81.10801.08031.06661.05761.0541
11.01.11001.08181.06791.05861.0551
11.21.11201.08331.06911.05971.0561
11.41.11401.08471.07031.06071.0571
11.61.11601.08621.07151.06181.0581
11.81.11801.08771.07271.06281.0590
12.01.12001.08921.07391.06391.0600
12.21.12201.09061.07521.06491.0610
12.41.12401.09211.07641.06601.0620
12.61.12601.09361.07761.06701.0630
12.81.12801.09501.07881.06811.0639
13.01.13001.09651.08001.06911.0649
13.21.13201.09801.08121.07011.0659
13.41.13401.09941.08241.07121.0669
13.61.13601.10091.08361.07221.0679
13.81.13801.10241.08491.07331.0688
14.01.14001.10391.08611.07431.0698

TABLE K. -- ADJUSTMENT FACTORS FOR ANNUITIES PAYABLE AT THE END OF EACH INTERVAL APPLICABLE AFTER APRIL 30, 1989


Interest rateFrequency of Payments
AnnuallySemi AnnuallyQuarterlyMonthlyWeekly
4.2 1.00001.01041.01561.01911.0205
4.4 1.00001.01091.01641.02001.0214
4.6 1.00001.01141.01711.02091.0224
4.8 1.00001.01191.01781.02181.0234
5.0 1.00001.01231.01861.02271.0243
5.2 1.00001.01281.01931.02361.0253
5.4 1.00001.01331.02001.02451.0262
5.6 1.00001.01381.02081.02541.0272
5.8 1.00001.01431.02151.02631.0282
6.0 1.00001.01481.02221.02721.0291
6.2 1.00001.01531.02301.02811.0301
6.4 1.00001.01581.02371.02901.0311
6.6 1.00001.01621.02441.02991.0320
6.8 1.00001.01671.02521.03081.0330
7.0 1.00001.01721.02591.03171.0339
7.2 1.00001.01771.02661.03261.0349
7.4 1.00001.01821.02731.03351.0358
7.6 1.00001.01871.02811.03441.0368
7.8 1.00001.01911.02881.03531.0378
8.0 1.00001.01961.02951.03621.0387
8.2 1.00001.02011.03021.03701.0397
8.4 1.00001.02061.03101.03791.0406
8.6 1.00001.02111.03171.03881.0416
8.8 1.00001.02151.03241.03971.0425
9.0 1.00001.02201.03311.04061.0435
9.2 1.00001.02251.03391.04151.0444
9.4 1.00001.02301.03461.04241.0454
9.6 1.00001.02351.03531.04331.0463
9.8 1.00001.02391.03601.04421.0473
10.01.00001.02441.03681.04501.0482
10.21.00001.02491.03751.04591.0492
10.41.00001.02541.03821.04681.0501
10.61.00001.02581.03891.04771.0511
10.81.00001.02631.03961.04861.0520
11.01.00001.02681.04041.04951.0530
11.21.00001.02731.04111.05031.0539
11.41.00001.02771.04181.05121.0549
11.61.00001.02821.04251.05211.0558
11.81.00001.02871.04321.05301.0568
12.01.00001.02921.04391.05391.0577
12.21.00001.02961.04471.05481.0587
12.41.00001.03011.04541.05561.0596
12.61.00001.03061.04611.05651.0605
12.81.00001.03101.04681.05741.0615
13.01.00001.03151.04751.05831.0624
13.21.00001.03201.04821.05911.0634
13.41.00001.03241.04891.06001.0643
13.61.00001.03291.04961.06091.0652
13.81.00001.03341.05041.06181.0662
14.01.00001.03391.05111.06261.0671
(7) Actuarial Table S and Table 2000CM where the valuation date is on or after May 1, 2009.- Except as provided in §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 2000CM and Table S (single life remainder factors applicable where the valuation date is on or after May 1, 2009) contained in this paragraph (d)(7) 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 0.2 and 14 percent.


TABLE S. -- Based on Life Table 2000CM Single Life Remainder Factors Applicable On or After May 1, 2009


AgeInterest rate
0.2%0.4%0.6%0.8%1.0%1.2%1.4%1.6%1.8%2.0%
0 .85816.73751.63478.54723.47252.40872.35416.30747.26745.23313
1 .85889.73863.63604.54844.47355.40948.35459.30752.26711.23239
2 .86054.74145.63968.55260.47802.41409.35922.31209.27155.23664
3 .86221.74433.64339.55687.48263.41887.36404.31685.27619.24112
4 .86390.74725.64716.56121.48733.42374.36898.32175.28098.24575
5 .86560.75018.65097.56561.49209.42871.37401.32675.28588.25050
6 .86731.75314.65482.57006.49692.43375.37913.33186.29090.25538
7 .86902.75611.65868.57454.50180.43885.38432.33704.29601.26035
8 .87073.75909.66258.57907.50674.44403.38960.34233.30122.26544
9 .87246.76209.66651.58364.51173.44928.39497.34771.30654.27064
10 .87419.76511.67046.58826.51679.45459.40042.35319.31197.27596
11 .87592.76814.67445.59291.52190.45998.40596.35876.31750.28139
12 .87766.77119.67845.59761.52706.46544.41157.36443.32313.28693
13 .87939.77424.68247.60232.53225.47094.41723.37015.32884.29255
14 .88112.77728.68649.60704.53746.47646.42293.37592.33460.29823
15 .88284.78031.69050.61176.54267.48199.42865.38172.34038.30394
16 .88455.78333.69449.61647.54788.48752.43437.38752.34619.30968
17 .88625.78633.69848.62117.55309.49307.44012.39336.35203.31546
18 .88795.78933.70246.62588.55830.49863.44589.39923.35791.32129
19 .88964.79232.70644.63059.56354.50422.45170.40514.36385.32719
20 .89132.79532.71044.63534.56882.50987.45757.41114.36987.33317
21 .89301.79832.71445.64010.57413.51555.46350.41719.37597.33925
22 .89470.80133.71847.64488.57947.52129.46948.42332.38216.34541
23 .89639.80434.72251.64970.58486.52708.47554.42954.38844.35168
24 .89808.80737.72658.65456.59031.53295.48169.43586.39484.35809
25 .89978.81042.73068.65947.59583.53890.48795.44230.40137.36464
26 .90149.81349.73482.66443.60141.54494.49430.44886.40804.37134
27 .90320.81657.73899.66944.60707.55107.50076.45554.41484.37819
28 .90492.81968.74319.67450.61278.55728.50733.46233.42178.38520
29 .90665.82279.74741.67960.61856.56356.51398.46924.42884.39233
30 .90837.82591.75165.68473.62438.56990.52070.47623.43601.39959
31 .91010.82904.75592.68989.63024.57631.52751.48333.44329.40698
32 .91182.83218.76020.69509.63616.58278.53440.49052.45068.41449
33 .91355.83532.76449.70031.64212.58931.54137.49780.45818.42213
34 .91527.83847.76880.70556.64811.59589.54839.50516.46578.42988
35 .91700.84162.77312.71082.65414.60253.55549.51261.47347.43774
36 .91872.84477.77744.71611.66021.60921.56266.52014.48127.44572
37 .92043.84792.78178.72142.66631.61594.56989.52774.48916.45381
38 .92215.85107.78613.72675.67244.62272.57718.53544.49715.46201
39 .92386.85422.79048.73210.67860.62955.58453.54320.50523.47032
40 .92557.85736.79483.73746.68479.63641.59194.55104.51340.47873
41 .92727.86050.79918.74283.69100.64331.59940.55894.52165.48724
42 .92896.86364.80354.74820.69723.65024.60690.56691.52998.49585
43 .93065.86677.80789.75359.70348.65721.61447.57495.53840.50457
44 .93234.86990.81225.75899.70976.66422.62208.58305.54690.51338
45 .93402.87302.81660.76439.71605.67125.62973.59122.55547.52228
46 .93569.87613.82095.76980.72236.67832.63743.59945.56413.53129
47 .93735.87924.82530.77521.72867.68541.64517.60773.57286.54037
48 .93901.88233.82964.78062.73501.69253.65295.61606.58166.54955
49 .94065.88541.83397.78604.74135.69967.66077.62446.59053.55882
50 .94229.88849.83830.79145.74771.70684.66864.63292.59949.56819
51 .94393.89156.84263.79688.75409.71404.67655.64143.60852.57766
52 .94556.89462.84695.80230.76048.72127.68450.65001.61763.58722
53 .94717.89767.85126.80772.76687.72852.69249.65863.62680.59687
54 .94878.90070.85555.81313.77326.73577.70050.66730.63603.60658
55 .95037.90371.85983.81853.77964.74302.70851.67598.64530.61635
56 .95195.90670.86406.82388.78599.75024.71651.68465.65457.62613
57 .95351.90965.86827.82920.79230.75744.72448.69332.66384.63593
58 .95505.91257.87243.83447.79857.76459.73242.70195.67309.64573
59 .95657.91546.87655.83970.80479.77170.74033.71057.68233.65553
60 .95807.91832.88064.84490.81098.77879.74822.71918.69158.66534
61 .95955.92115.88469.85005.81713.78584.75608.72776.70081.67515
62 .96101.92395.88869.85515.82323.79283.76388.73630.71001.68494
63 .96245.92670.89265.86020.82926.79977.77164.74479.71917.69470
64 .96387.92942.89655.86518.83524.80665.77933.75323.72828.70443
65 .96527.93210.90040.87011.84116.81346.78697.76162.73735.71411
66 .96665.93476.90423.87502.84706.82027.79461.77002.74645.72385
67 .96802.93739.90803.87990.85292.82705.80223.77841.75554.73359
68 .96937.93999.91179.88472.85874.83378.80980.78676.76461.74331
69 .97070.94255.91549.88949.86449.84044.81731.79504.77362.75299
70 .97200.94506.91914.89419.87016.84702.82473.80326.78256.76260
71 .97328.94754.92273.89882.87577.85353.83209.81140.79143.77215
72 .97453.94997.92626.90338.88129.85996.83935.81945.80021.78162
73 .97576.95234.92972.90785.88671.86627.84651.82739.80888.79098
74 .97695.95466.93310.91223.89202.87247.85353.83518.81741.80019
75 .97811.95692.93638.91649.89720.87851.86039.84281.82577.80923
76 .97924.95910.93957.92063.90224.88440.86708.85026.83393.81807
77 .98033.96122.94267.92465.90715.89013.87360.85753.84191.82671
78 .98138.96327.94567.92855.91190.89571.87995.86461.84968.83515
79 .98239.96526.94857.93233.91652.90112.88611.87149.85725.84337
80 .98337.96717.95138.93598.92098.90635.89208.87817.86460.85135
81 .98431.96901.95408.93951.92529.91141.89786.88463.87172.85910
82 .98521.97077.95667.94290.92944.91629.90344.89088.87861.86660
83 .98608.97247.95917.94616.93343.92099.90882.89691.88526.87385
84 .98691.97409.96156.94928.93727.92551.91399.90271.89166.88084
85 .98770.97565.96384.95228.94094.92984.91895.90828.89782.88757
86 .98845.97713.96602.95514.94446.93398.92371.91362.90373.89402
87 .98917.97854.96810.95786.94781.93794.92825.91873.90939.90021
88 .98985.97988.97008.96046.95100.94171.93258.92361.91479.90612
89 .99049.98115.97196.96292.95404.94530.93671.92826.91994.91176
90 .99110.98235.97373.96526.95691.94871.94062.93267.92484.91713
91 .99168.98348.97541.96747.95964.95193.94434.93686.92949.92223
92 .99222.98455.97700.96955.96222.95498.94785.94083.93390.92707
93 .99273.98556.97849.97152.96464.95786.95117.94457.93806.93163
94 .99321.98651.97989.97337.96692.96057.95429.94810.94199.93595
95 .99366.98739.98121.97510.96907.96312.95724.95143.94569.94002
96 .99408.98822.98244.97673.97108.96551.95999.95454.94916.94384
97 .99447.98900.98359.97825.97297.96774.96258.95747.95242.94742
98 .99483.98973.98467.97967.97473.96984.96500.96021.95547.95078
99 .99518.99040.98568.98101.97638.97180.96727.96278.95834.95394
100.99549.99103.98661.98224.97791.97362.96937.96516.96100.95687
101.99579.99162.98750.98340.97935.97534.97136.96742.96351.95964
102.99607.99217.98831.98448.98068.97692.97319.96950.96583.96220
103.99634.99271.98911.98553.98199.97848.97500.97155.96812.96473
104.99659.99320.98984.98651.98320.97992.97666.97344.97023.96705
105.99683.99369.99056.98747.98439.98134.97830.97530.97231.96934
106.99713.99429.99146.98865.98586.98309.98033.97760.97488.97218
107.99747.99496.99246.98998.98751.98506.98262.98020.97779.97539
108.99800.99602.99404.99208.99012.98818.98624.98431.98240.98049
109.99900.99801.99702.99603.99505.99407.99310.99213.99116.99020


AgeInterest rate
6.2%6.4%6.6%6.8%7.0%7.2%7.4%7.6%7.8%8.0%
0 .20365.17830.15648.13767.12144.10741.09528.08476.07564.06772
1 .20251.17677.15458.13542.11885.10451.09209.08131.07194.06379
2 .20656.18060.15817.13877.12197.10740.09476.08376.07420.06586
3 .21084.18466.16200.14236.12533.11054.09767.08647.07670.06817
4 .21527.18888.16600.14613.12887.11385.10076.08935.07938.07066
5 .21984.19324.17013.15004.13255.11730.10399.09237.08220.07329
6 .22454.19773.17440.15408.13636.12089.10736.09553.08515.07605
7 .22933.20233.17879.15824.14030.12460.11085.09880.08822.07892
8 .23425.20705.18330.16254.14436.12844.11447.10221.09142.08193
9 .23930.21191.18795.16697.14857.13243.11824.10576.09476.08507
10 .24446.21689.19273.17153.15292.13655.12214.10945.09824.08835
11 .24975.22200.19764.17623.15740.14081.12619.11328.10187.09177
12 .25515.22724.20268.18107.16202.14521.13037.11724.10563.09533
13 .26064.23256.20782.18600.16674.14972.13466.12132.10949.09900
14 .26620.23796.21303.19101.17154.15430.13903.12547.11344.10273
15 .27179.24340.21829.19607.17639.15894.14344.12968.11743.10652
16 .27742.24887.22358.20117.18128.16361.14790.13391.12145.11034
17 .28309.25439.22893.20632.18622.16834.15241.13821.12554.11421
18 .28881.25997.23434.21154.19123.17314.15699.14258.12969.11815
19 .29461.26563.23983.21684.19633.17803.16167.14703.13393.12218
20 .30050.27139.24543.22226.20156.18304.16646.15161.13829.12633
21 .30649.27726.25114.22779.20689.18817.17138.15631.14277.13060
22 .31259.28323.25697.23344.21235.19342.17642.16114.14739.13500
23 .31879.28934.26293.23923.21795.19882.18161.16612.15215.13955
24 .32515.29559.26904.24519.22372.20440.18699.17128.15710.14429
25 .33166.30201.27534.25133.22969.21018.19256.17665.16226.14924
26 .33833.30861.28182.25767.23586.21616.19835.18224.16764.15440
27 .34517.31538.28849.26420.24224.22236.20436.18804.17324.15980
28 .35217.32233.29535.27093.24882.22877.21058.19407.17907.16542
29 .35932.32944.30237.27784.25558.23537.21701.20031.18511.17126
30 .36661.33670.30956.28492.26253.24216.22362.20674.19135.17730
31 .37403.34411.31691.29217.26965.24914.23044.21338.19779.18355
32 .38160.35167.32442.29960.27697.25631.23745.22022.20445.19002
33 .38930.35939.33211.30721.28447.26368.24467.22727.21133.19671
34 .39713.36724.33993.31497.29213.27123.25207.23451.21839.20360
35 .40509.37523.34792.32290.29998.27896.25967.24195.22567.21070
36 .41318.38337.35606.33100.30800.28688.26746.24961.23317.21803
37 .42139.39165.36435.33927.31621.29499.27546.25746.24087.22557
38 .42974.40008.37281.34771.32460.30330.28366.26554.24880.23334
39 .43821.40864.38141.35631.33316.31179.29205.27381.25694.24133
40 .44679.41734.39016.36507.34189.32046.30064.28229.26529.24954
41 .45549.42616.39906.37399.35080.32932.30942.29097.27386.25797
42 .46430.43511.40809.38307.35987.33836.31840.29986.28264.26662
43 .47324.44421.41729.39232.36913.34760.32758.30897.29165.27552
44 .48229.45343.42663.40172.37857.35702.33697.31829.30088.28465
45 .49144.46277.43611.41128.38817.36663.34655.32782.31033.29400
46 .50072.47225.44574.42101.39796.37644.35634.33757.32002.30360
47 .51009.48185.45550.43089.40791.38642.36633.34753.32992.31343
48 .51958.49158.46540.44093.41803.39660.37652.35770.34006.32351
49 .52917.50143.47545.45113.42833.40696.38691.36810.35043.33383
50 .53888.51141.48566.46150.43883.41754.39754.37874.36106.34442
51 .54871.52153.49602.47204.44951.42832.40838.38961.37194.35528
52 .55865.53179.50653.48276.46038.43931.41945.40073.38307.36641
53 .56869.54217.51718.49363.47143.45050.43074.41208.39446.37781
54 .57882.55265.52796.50465.48265.46186.44222.42364.40607.38945
55 .58902.56322.53884.51579.49400.47338.45387.43540.41789.40131
56 .59926.57383.54978.52701.50544.48501.46565.44729.42987.41335
57 .60951.58449.56078.53830.51698.49675.47755.45932.44201.42555
58 .61978.59517.57182.54964.52858.50858.48956.47147.45427.43790
59 .63007.60589.58290.56105.54027.52050.50167.48375.46668.45041
60 .64039.61665.59405.57254.55205.53253.51392.49617.47925.46310
61 .65072.62743.60524.58409.56390.54465.52627.50872.49196.47595
62 .66104.63822.61645.59566.57581.55683.53870.52136.50478.48892
63 .67133.64900.62766.60726.58774.56907.55120.53409.51770.50200
64 .68161.65977.63887.61887.59970.58134.56375.54688.53071.51519
65 .69186.67053.65009.63049.61170.59367.57637.55976.54381.52849
66 .70216.68136.66140.64223.62383.60615.58916.57283.55713.54203
67 .71250.69224.67277.65405.63605.61874.60208.58605.57062.55575
68 .72283.70312.68416.66590.64833.63140.61509.59938.58423.56963
69 .73312.71398.69553.67776.66062.64409.62815.61277.59793.58360
70 .74335.72479.70688.68959.67291.65680.64124.62621.61168.59764
71 .75353.73556.71819.70141.68519.66951.65434.63968.62549.61176
72 .76364.74626.72945.71318.69744.68220.66745.65317.63933.62593
73 .77365.75686.74061.72487.70962.69484.68051.66662.65315.64009
74 .78350.76733.75164.73643.72167.70735.69346.67997.66688.65417
75 .79318.77761.76249.74781.73355.71971.70625.69318.68048.66813
76 .80266.78769.77314.75899.74524.73187.71886.70621.69390.68192
77 .81194.79756.78358.76997.75672.74382.73127.71904.70713.69553
78 .82100.80722.79380.78072.76798.75556.74346.73166.72016.70894
79 .82984.81664.80378.79124.77900.76706.75542.74405.73296.72213
80 .83843.82582.81351.80149.78976.77830.76711.75618.74550.73507
81 .84678.83474.82298.81148.80025.78927.77853.76803.75777.74773
82 .85487.84339.83217.82119.81045.79994.78966.77959.76974.76009
83 .86269.85177.84107.83060.82035.81030.80047.79083.78139.77214
84 .87024.85986.84968.83970.82993.82035.81095.80174.79271.78385
85 .87751.86765.85798.84849.83919.83005.82110.81230.80368.79521
86 .88450.87515.86597.85696.84811.83942.83089.82251.81428.80619
87 .89119.88234.87363.86508.85668.84843.84031.83234.82450.81679
88 .89760.88922.88099.87289.86492.85708.84938.84180.83434.82700
89 .90372.89580.88801.88034.87280.86537.85806.85087.84378.83681
90 .90954.90207.89471.88746.88032.87329.86637.85954.85282.84620
91 .91508.90803.90109.89424.88750.88085.87429.86783.86146.85518
92 .92033.91369.90714.90068.89432.88803.88184.87572.86969.86374
93 .92530.91904.91287.90678.90078.89484.88899.88321.87751.87188
94 .92999.92411.91830.91256.90690.90130.89578.89032.88493.87961
95 .93442.92889.92342.91802.91269.90741.90220.89706.89197.88694
96 .93858.93338.92824.92316.91813.91316.90825.90340.89859.89385
97 .94248.93759.93276.92798.92325.91857.91395.90937.90484.90036
98 .94614.94155.93701.93252.92807.92367.91931.91500.91073.90650
99 .94959.94528.94101.93679.93260.92846.92436.92030.91628.91229
100.95278.94874.94473.94075.93682.93292.92906.92523.92144.91769
101.95581.95201.94824.94451.94081.93715.93352.92992.92635.92281
102.95860.95503.95149.94798.94450.94105.93763.93424.93088.92754
103.96136.95802.95470.95142.94816.94492.94171.93853.93538.93224
104.96390.96077.95766.95458.95152.94848.94547.94248.93951.93657
105.96640.96347.96057.95769.95483.95199.94917.94637.94359.94083
106.96950.96684.96420.96157.95896.95636.95379.95123.94868.94616
107.97301.97064.96829.96595.96362.96131.95901.95672.95445.95219
108.97859.97670.97482.97295.97109.96923.96739.96555.96373.96191
109.98924.98828.98733.98638.98544.98450.98356.98263.98170.98077
AgeInterest rate
4.2%4.4%4.6%4.8%5.0%5.2%5.4%5.6%5.8%6.0%
0 .06083.05483.04959.04501.04101.03749.03441.03170.02931.02721
1 .05668.05049.04507.04034.03618.03254.02934.02652.02403.02183
2 .05858.05222.04665.04178.03750.03373.03042.02750.02492.02264
3 .06072.05420.04848.04346.03904.03516.03173.02871.02603.02366
4 .06303.05634.05046.04530.04075.03674.03319.03006.02729.02483
5 .06547.05861.05258.04726.04258.03844.03478.03153.02866.02610
6 .06805.06102.05482.04935.04453.04026.03647.03312.03014.02749
7 .07074.06353.05717.05155.04658.04217.03826.03479.03171.02895
8 .07356.06617.05964.05386.04875.04421.04017.03658.03338.03053
9 .07651.06895.06225.05631.05105.04637.04220.03849.03518.03222
10 .07960.07185.06499.05889.05347.04865.04435.04052.03709.03402
11 .08283.07490.06786.06160.05603.05106.04663.04267.03912.03594
12 .08620.07808.07087.06444.05871.05360.04903.04494.04127.03798
13 .08967.08137.07397.06738.06149.05623.05152.04729.04351.04010
14 .09321.08472.07715.07038.06433.05892.05406.04971.04579.04227
15 .09680.08812.08036.07342.06721.06164.05664.05214.04810.04445
16 .10041.09154.08360.07649.07011.06438.05923.05459.05041.04664
17 .10409.09502.08689.07960.07305.06716.06185.05707.05276.04886
18 .10782.09855.09024.08276.07604.06998.06452.05959.05514.05111
19 .11164.10217.09366.08600.07910.07288.06726.06218.05758.05341
20 .11559.10592.09721.08937.08228.07589.07010.06487.06012.05582
21 .11965.10977.10087.09283.08557.07900.07305.06765.06276.05831
22 .12383.11376.10465.09642.08897.08223.07610.07055.06550.06090
23 .12817.11789.10859.10016.09252.08559.07930.07358.06837.06363
24 .13270.12221.11270.10408.09625.08914.08267.07678.07141.06651
25 .13744.12674.11703.10821.10019.09289.08625.08018.07465.06960
26 .14239.13149.12158.11256.10435.09686.09003.08380.07810.07288
27 .14758.13647.12636.11714.10873.10106.09405.08764.08177.07639
28 .15300.14169.13137.12195.11335.10549.09829.09171.08567.08012
29 .15864.14712.13660.12698.11819.11013.10275.09598.08977.08406
30 .16448.15275.14203.13222.12323.11498.10742.10047.09408.08820
31 .17053.15861.14769.13768.12849.12006.11230.10517.09860.09255
32 .17680.16468.15357.14336.13398.12535.11741.11009.10335.09712
33 .18330.17099.15968.14927.13970.13088.12275.11525.10832.10192
34 .19000.17750.16599.15539.14562.13661.12829.12061.11350.10693
35 .19692.18423.17253.16174.15178.14258.13408.12621.11892.11217
36 .20407.19119.17931.16833.15818.14879.14009.13204.12457.11764
37 .21144.19838.18631.17515.16481.15523.14635.13811.13046.12335
38 .21904.20582.19357.18222.17170.16193.15287.14444.13661.12932
39 .22687.21348.20105.18952.17882.16887.15962.15102.14300.13554
40 .23493.22137.20878.19707.18619.17606.16663.15784.14965.14201
41 .24322.22950.21674.20487.19381.18350.17390.16493.15656.14873
42 .25173.23786.22494.21290.20168.19120.18141.17227.16372.15572
43 .26049.24648.23342.22122.20982.19918.18922.17990.17118.16301
44 .26950.25535.24214.22979.21824.20742.19730.18781.17892.17057
45 .27874.26447.25112.23862.22692.21595.20566.19600.18694.17843
46 .28824.27385.26038.24774.23589.22476.21431.20450.19527.18659
47 .29798.28349.26989.25712.24513.23386.22326.21328.20390.19505
48 .30797.29338.27967.26678.25466.24325.23250.22238.21283.20383
49 .31822.30355.28974.27674.26449.25294.24206.23179.22210.21294
50 .32876.31401.30011.28701.27465.26298.25196.24156.23172.22242
51 .33958.32477.31079.29759.28513.27335.26221.25168.24170.23226
52 .35068.33582.32178.30851.29595.28407.27282.26216.25206.24249
53 .36206.34717.33308.31974.30710.29513.28378.27301.26279.25309
54 .37371.35880.34467.33127.31857.30651.29507.28420.27388.26406
55 .38559.37067.35652.34308.33032.31820.30668.29572.28529.27537
56 .39765.38275.36859.35512.34232.33014.31855.30751.29699.28697
57 .40990.39502.38086.36739.35455.34233.33068.31957.30898.29887
58 .42231.40747.39333.37985.36700.35474.34304.33188.32121.31103
59 .43490.42011.40600.39253.37968.36740.35567.34446.33374.32348
60 .44768.43296.41890.40546.39261.38033.36858.35733.34656.33625
61 .46064.44600.43200.41860.40578.39351.38175.37048.35968.34933
62 .47373.45920.44527.43194.41915.40690.39514.38387.37305.36267
63 .48696.47253.45870.44544.43271.42049.40876.39749.38666.37625
64 .50030.48601.47229.45911.44645.43428.42258.41133.40051.39010
65 .51377.49963.48603.47295.46037.44827.43662.42540.41460.40420
66 .52750.51352.50007.48711.47464.46262.45103.43987.42911.41872
67 .54144.52765.51436.50154.48919.47727.46578.45468.44397.43363
68 .55554.54196.52885.51619.50398.49218.48079.46978.45915.44887
69 .56976.55640.54349.53102.51896.50731.49603.48513.47458.46438
70 .58407.57095.55826.54598.53410.52260.51147.50069.49025.48013
71 .59848.58561.57316.56109.54940.53808.52710.51646.50615.49614
72 .61294.60035.58815.57632.56484.55371.54291.53243.52225.51237
73 .62741.61512.60318.59160.58035.56943.55882.54851.53849.52876
74 .64183.62983.61818.60686.59586.58516.57476.56464.55480.54523
75 .65612.64444.63309.62204.61129.60083.59065.58074.57109.56169
76 .67026.65891.64786.63710.62661.61640.60646.59676.58731.57810
77 .68423.67321.66248.65201.64181.63186.62215.61269.60345.59444
78 .69800.68733.67692.66676.65684.64717.63772.62849.61948.61068
79 .71156.70124.69116.68132.67170.66230.65312.64414.63537.62680
80 .72487.71490.70516.69563.68632.67721.66830.65959.65106.64272
81 .73791.72830.71890.70970.70069.69188.68325.67481.66654.65844
82 .75065.74140.73235.72348.71479.70628.69794.68977.68176.67391
83 .76308.75419.74548.73695.72858.72037.71232.70443.69669.68909
84 .77516.76664.75828.75008.74203.73413.72638.71877.71130.70396
85 .78689.77873.77072.76285.75512.74753.74008.73275.72556.71849
86 .79825.79044.78278.77524.76783.76055.75340.74636.73944.73264
87 .80921.80176.79443.78722.78014.77316.76630.75956.75292.74638
88 .81978.81268.80569.79880.79203.78536.77880.77234.76598.75971
89 .82994.82317.81651.80995.80349.79712.79085.78467.77859.77259
90 .83967.83324.82690.82065.81450.80843.80244.79655.79073.78500
91 .84898.84288.83685.83091.82505.81928.81358.80795.80241.79693
92 .85787.85208.84636.84072.83515.82966.82423.81888.81360.80838
93 .86632.86083.85541.85006.84477.83955.83440.82931.82428.81931
94 .87435.86915.86402.85894.85393.84898.84409.83925.83447.82975
95 .88197.87705.87219.86739.86265.85795.85331.84872.84419.83970
96 .88915.88451.87991.87537.87088.86643.86203.85768.85338.84912
97 .89593.89154.88720.88290.87865.87444.87028.86616.86208.85804
98 .90232.89818.89408.89002.88600.88202.87808.87418.87031.86649
99 .90835.90444.90057.89674.89294.88918.88546.88177.87811.87449
100.91397.91028.90663.90301.89942.89587.89234.88885.88539.88196
101.91930.91583.91238.90897.90558.90223.89890.89560.89233.88908
102.92424.92096.91771.91448.91128.90811.90496.90184.89875.89568
103.92914.92605.92300.91996.91695.91397.91100.90806.90514.90225
104.93364.93074.92786.92501.92217.91935.91656.91379.91103.90830
105.93809.93537.93266.92998.92731.92467.92204.91943.91683.91426
106.94365.94115.93867.93621.93376.93133.92892.92651.92413.92176
107.94994.94771.94549.94328.94108.93890.93673.93457.93242.93028
108.96010.95830.95651.95472.95295.95118.94942.94767.94593.94420
109.97985.97893.97801.97710.97619.97529.97438.97348.97259.97170

AgeInterest rate
6.2%6.4%6.6%6.8%7.0%7.2%7.4%7.6%7.8%8.0%
0 .02534.02370.02223.02093.01978.01874.01782.01699.01625.01559
1 .01989.01817.01664.01528.01406.01298.01202.01115.01037.00967
2 .02061.01882.01722.01580.01454.01340.01239.01148.01066.00993
3 .02156.01969.01802.01654.01521.01403.01297.01201.01115.01038
4 .02264.02069.01896.01741.01602.01478.01367.01267.01176.01095
5 .02383.02180.01999.01838.01693.01563.01446.01341.01246.01161
6 .02512.02301.02113.01944.01793.01657.01535.01424.01325.01235
7 .02650.02430.02234.02058.01900.01758.01630.01514.01410.01315
8 .02798.02570.02365.02182.02017.01868.01734.01613.01503.01404
9 .02957.02720.02507.02316.02143.01988.01848.01721.01606.01502
10 .03128.02881.02659.02460.02280.02118.01971.01838.01718.01608
11 .03309.03053.02823.02615.02428.02258.02105.01966.01839.01725
12 .03503.03237.02997.02781.02585.02408.02248.02103.01971.01850
13 .03704.03428.03179.02954.02750.02565.02398.02246.02108.01982
14 .03909.03623.03364.03130.02918.02726.02551.02392.02248.02116
15 .04117.03820.03551.03308.03087.02886.02704.02538.02387.02249
16 .04324.04016.03737.03484.03254.03046.02855.02682.02524.02379
17 .04533.04214.03924.03661.03422.03205.03007.02826.02661.02509
18 .04746.04415.04114.03841.03592.03366.03159.02970.02798.02639
19 .04963.04620.04309.04025.03766.03530.03315.03117.02937.02772
20 .05191.04835.04512.04217.03948.03702.03478.03272.03083.02910
21 .05427.05058.04723.04416.04137.03881.03647.03432.03235.03054
22 .05672.05291.04943.04625.04334.04067.03823.03599.03394.03205
23 .05930.05535.05174.04844.04542.04265.04010.03777.03562.03364
24 .06204.05795.05421.05078.04764.04476.04211.03967.03743.03536
25 .06497.06074.05687.05331.05005.04705.04429.04174.03940.03724
26 .06811.06373.05972.05603.05264.04952.04665.04400.04155.03929
27 .07146.06694.06278.05895.05543.05219.04920.04644.04389.04153
28 .07503.07036.06605.06209.05844.05507.05196.04908.04642.04396
29 .07881.07398.06953.06542.06163.05814.05490.05191.04913.04656
30 .08279.07780.07319.06894.06502.06138.05802.05491.05202.04933
31 .08697.08182.07707.07267.06860.06483.06134.05810.05509.05229
32 .09137.08606.08115.07660.07239.06848.06485.06148.05835.05543
33 .09601.09053.08546.08075.07639.07234.06858.06508.06182.05878
34 .10084.09520.08996.08511.08059.07640.07249.06886.06547.06231
35 .10590.10009.09470.08968.08501.08067.07662.07285.06933.06605
36 .11120.10522.09966.09448.08966.08517.08098.07706.07341.06999
37 .11674.11059.10486.09952.09454.08990.08556.08150.07771.07416
38 .12254.11621.11032.10481.09968.09487.09039.08618.08225.07856
39 .12857.12208.11601.11035.10505.10009.09545.09110.08702.08320
40 .13487.12820.12196.11613.11067.10555.10076.09626.09204.08807
41 .14142.13458.12817.12217.11655.11127.10632.10167.09730.09319
42 .14823.14122.13464.12848.12269.11725.11214.10734.10282.09856
43 .15535.14816.14141.13508.12913.12353.11826.11330.10863.10422
44 .16274.15538.14847.14196.13585.13008.12466.11954.11472.11016
45 .17042.16290.15581.14914.14286.13694.13135.12608.12110.11640
46 .17842.17073.16348.15664.15020.14411.13836.13293.12780.12294
47 .18672.17886.17145.16445.15784.15159.14568.14010.13481.12980
48 .19534.18732.17974.17258.16581.15940.15334.14759.14215.13699
49 .20429.19612.18838.18106.17413.16757.16134.15544.14984.14453
50 .21362.20529.19740.18993.18284.17612.16974.16368.15793.15247
51 .22332.21484.20680.19917.19194.18506.17853.17232.16642.16080
52 .23341.22479.21660.20883.20144.19442.18774.18138.17533.16957
53 .24388.23513.22681.21889.21136.20419.19737.19087.18467.17876
54 .25473.24585.23739.22935.22168.21437.20741.20076.19442.18837
55 .26593.25693.24835.24017.23238.22494.21784.21105.20458.19838
56 .27742.26831.25962.25132.24340.23583.22860.22169.21508.20875
57 .28922.28001.27121.26280.25476.24707.23971.23267.22593.21947
58 .30129.29199.28309.27457.26642.25862.25114.24398.23712.23053
59 .31367.30428.29529.28667.27842.27051.26293.25565.24867.24197
60 .32638.31691.30784.29914.29079.28278.27509.26771.26062.25380
61 .33940.32987.32073.31195.30352.29542.28763.28015.27295.26603
62 .35269.34311.33391.32506.31656.30837.30050.29293.28564.27862
63 .36625.35663.34738.33847.32990.32165.31370.30604.29867.29155
64 .38007.37043.36113.35218.34356.33524.32723.31950.31204.30484
65 .39417.38451.37519.36620.35753.34917.34110.33330.32577.31850
66 .40871.39905.38972.38071.37201.36361.35550.34765.34006.33273
67 .42365.41400.40468.39567.38696.37853.37038.36250.35487.34749
68 .43892.42931.42001.41101.40230.39387.38570.37780.37014.36272
69 .45450.44493.43567.42670.41800.40958.40141.39350.38582.37837
70 .47033.46083.45162.44269.43403.42563.41748.40957.40189.39443
71 .48644.47702.46788.45901.45040.44203.43391.42602.41835.41090
72 .50278.49347.48441.47562.46707.45877.45069.44284.43520.42776
73 .51930.51010.50115.49245.48399.47575.46774.45994.45234.44494
74 .53591.52684.51802.50943.50106.49291.48497.47724.46970.46235
75 .55253.54361.53492.52645.51820.51015.50230.49465.48719.47991
76 .56912.56036.55182.54349.53536.52742.51968.51213.50475.49754
77 .58565.57706.56868.56050.55251.54471.53708.52964.52236.51525
78 .60209.59369.58549.57747.56963.56197.55448.54715.53999.53298
79 .61841.61021.60219.59435.58668.57917.57182.56463.55760.55071
80 .63456.62657.61875.61109.60359.59625.58906.58202.57512.56836
81 .65050.64273.63512.62766.62034.61318.60616.59927.59252.58590
82 .66621.65867.65127.64401.63690.62992.62308.61636.60977.60330
83 .68164.67433.66716.66012.65321.64642.63976.63322.62680.62050
84 .69676.68969.68275.67593.66923.66265.65618.64983.64358.63745
85 .71154.70472.69801.69141.68493.67856.67229.66613.66007.65412
86 .72595.71937.71290.70654.70028.69412.68806.68210.67623.67046
87 .73995.73362.72740.72127.71523.70929.70344.69768.69201.68642
88 .75354.74746.74148.73558.72978.72406.71842.71287.70739.70200
89 .76668.76085.75511.74945.74387.73837.73295.72761.72234.71714
90 .77934.77377.76827.76284.75749.75222.74701.74188.73681.73181
91 .79153.78620.78094.77575.77063.76558.76059.75566.75080.74600
92 .80323.79814.79312.78816.78326.77843.77365.76894.76428.75967
93 .81440.80956.80477.80004.79536.79074.78618.78166.77721.77280
94 .82508.82047.81591.81140.80694.80253.79817.79387.78961.78539
95 .83526.83088.82654.82225.81800.81380.80965.80554.80148.79746
96 .84491.84074.83662.83254.82850.82450.82055.81663.81276.80892
97 .85405.85009.84617.84230.83846.83466.83089.82717.82348.81982
98 .86270.85895.85523.85155.84791.84430.84072.83718.83367.83019
99 .87090.86735.86382.86033.85687.85345.85005.84668.84335.84004
100.87856.87519.87185.86854.86526.86201.85878.85559.85242.84927
101.88587.88268.87952.87638.87327.87019.86713.86409.86109.85810
102.89263.88961.88662.88364.88069.87777.87487.87199.86913.86629
103.89938.89653.89370.89089.88810.88534.88259.87987.87717.87448
104.90558.90289.90021.89756.89492.89231.88971.88713.88456.88202
105.91170.90916.90664.90413.90164.89917.89672.89428.89186.88945
106.91940.91706.91474.91242.91013.90784.90558.90332.90108.89885
107.92816.92605.92395.92186.91978.91772.91567.91362.91159.90957
108.94247.94075.93904.93734.93565.93396.93229.93062.92895.92730
109.97081.96992.96904.96816.96729.96642.96555.96468.96382.96296

AgeInterest rate
6.2%8.2%8.4%8.6%8.8%9.0%9.2%9.4%9.6%10.0%
0 .01498.01444.01395.01351.01310.01273.01240.01209.01181.01155
1 .00904.00847.00796.00749.00707.00668.00633.00601.00572.00545
2 .00926.00866.00812.00763.00718.00677.00640.00606.00575.00547
3 .00968.00905.00848.00796.00748.00705.00666.00630.00597.00567
4 .01021.00955.00894.00839.00789.00744.00702.00664.00629.00597
5 .01083.01013.00949.00891.00839.00790.00746.00706.00669.00635
6 .01153.01080.01012.00951.00895.00844.00798.00755.00715.00679
7 .01229.01151.01081.01016.00957.00903.00854.00808.00767.00728
8 .01314.01232.01157.01089.01026.00969.00917.00869.00825.00784
9 .01407.01321.01242.01170.01104.01044.00989.00938.00891.00848
10 .01509.01418.01335.01259.01190.01126.01068.01014.00965.00919
11 .01620.01525.01437.01358.01285.01218.01156.01099.01047.00998
12 .01740.01640.01549.01465.01388.01317.01252.01192.01137.01086
13 .01867.01762.01665.01577.01496.01422.01353.01290.01231.01177
14 .01995.01885.01784.01691.01606.01527.01455.01389.01327.01270
15 .02123.02007.01901.01803.01714.01632.01556.01485.01420.01360
16 .02247.02126.02015.01913.01818.01732.01652.01578.01509.01446
17 .02371.02244.02127.02020.01921.01830.01746.01668.01596.01529
18 .02494.02361.02239.02126.02022.01926.01838.01756.01680.01610
19 .02620.02480.02352.02234.02125.02024.01931.01844.01764.01690
20 .02751.02605.02471.02346.02232.02126.02028.01937.01853.01775
21 .02888.02735.02593.02463.02343.02231.02128.02032.01944.01861
22 .03030.02870.02722.02585.02458.02341.02233.02132.02038.01951
23 .03181.03013.02858.02714.02581.02458.02344.02237.02139.02047
24 .03345.03169.03006.02855.02715.02586.02465.02353.02249.02152
25 .03524.03340.03169.03010.02863.02727.02600.02482.02373.02270
26 .03720.03527.03348.03181.03027.02884.02750.02626.02510.02402
27 .03934.03732.03544.03370.03208.03057.02916.02786.02664.02549
28 .04167.03955.03759.03576.03406.03247.03099.02962.02833.02713
29 .04417.04196.03990.03798.03619.03453.03298.03153.03017.02890
30 .04684.04452.04237.04036.03848.03674.03510.03358.03215.03081
31 .04969.04727.04501.04291.04094.03911.03739.03579.03428.03287
32 .05272.05019.04783.04563.04357.04165.03984.03816.03657.03509
33 .05595.05331.05085.04854.04639.04437.04248.04070.03904.03748
34 .05936.05661.05403.05162.04936.04725.04527.04341.04166.04001
35 .06297.06010.05741.05489.05253.05032.04824.04629.04445.04272
36 .06679.06380.06100.05837.05590.05358.05140.04935.04742.04561
37 .07083.06771.06479.06204.05947.05704.05476.05261.05059.04868
38 .07511.07186.06881.06595.06326.06072.05834.05609.05397.05196
39 .07961.07623.07306.07007.06726.06462.06212.05977.05754.05544
40 .08434.08083.07753.07442.07149.06873.06612.06366.06133.05913
41 .08932.08568.08225.07901.07596.07308.07035.06778.06534.06304
42 .09455.09077.08720.08384.08066.07766.07481.07213.06958.06717
43 .10007.09615.09245.08895.08564.08251.07955.07674.07408.07156
44 .10586.10180.09796.09433.09089.08763.08454.08162.07884.07621
45 .11195.10774.10376.09999.09642.09303.08982.08677.08387.08112
46 .11835.11400.10987.10596.10225.09873.09539.09222.08920.08633
47 .12505.12055.11629.11224.10839.10474.10126.09796.09482.09182
48 .13209.12745.12303.11884.11485.11106.10746.10402.10075.09764
49 .13948.13469.13013.12579.12167.11774.11400.11043.10703.10379
50 .14727.14233.13762.13314.12887.12481.12093.11723.11370.11033
51 .15546.15037.14551.14089.13648.13228.12826.12443.12077.11726
52 .16407.15884.15384.14907.14452.14018.13603.13206.12826.12463
53 .17312.16774.16260.15769.15300.14852.14423.14012.13620.13243
54 .18259.17707.17179.16674.16191.15729.15286.14862.14456.14067
55 .19247.18680.18139.17620.17123.16648.16192.15755.15335.14933
56 .20270.19690.19135.18602.18092.17603.17134.16684.16251.15836
57 .21329.20736.20167.19622.19099.18596.18114.17650.17205.16777
58 .22422.21816.21235.20677.20140.19625.19130.18653.18195.17754
59 .23553.22935.22341.21770.21221.20693.20185.19696.19225.18772
60 .24725.24095.23489.22906.22345.21805.21285.20783.20300.19834
61 .25937.25296.24679.24084.23511.22959.22427.21914.21419.20941
62 .27185.26534.25906.25300.24716.24153.23609.23084.22577.22088
63 .28469.27808.27169.26553.25959.25384.24830.24294.23776.23275
64 .29789.29119.28471.27845.27240.26656.26091.25544.25016.24504
65 .31148.30468.29812.29177.28563.27969.27394.26837.26299.25777
66 .32564.31877.31213.30570.29948.29345.28761.28195.27647.27115
67 .34034.33341.32671.32021.31391.30780.30188.29614.29057.28517
68 .35552.34855.34179.33523.32887.32270.31671.31089.30524.29976
69 .37115.36414.35734.35073.34432.33809.33204.32616.32045.31489
70 .38719.38016.37332.36668.36023.35396.34786.34193.33616.33054
71 .40366.39662.38977.38311.37663.37032.36419.35821.35240.34674
72 .42053.41350.40665.39998.39349.38716.38100.37500.36916.36346
73 .43774.43073.42389.41723.41074.40441.39824.39222.38636.38063
74 .45519.44821.44140.43476.42829.42197.41580.40979.40391.39818
75 .47280.46587.45910.45250.44605.43975.43360.42759.42173.41599
76 .49051.48364.47693.47037.46396.45770.45158.44560.43975.43403
77 .50830.50150.49486.48836.48201.47580.46972.46377.45795.45225
78 .52613.51942.51286.50644.50015.49400.48797.48208.47630.47064
79 .54396.53736.53089.52456.51835.51227.50632.50048.49476.48915
80 .56174.55525.54888.54265.53653.53054.52466.51890.51325.50770
81 .57941.57305.56681.56068.55467.54878.54299.53731.53174.52627
82 .59696.59073.58461.57861.57272.56693.56125.55566.55018.54480
83 .61430.60822.60224.59637.59061.58494.57937.57389.56851.56322
84 .63142.62549.61966.61393.60830.60276.59731.59196.58669.58150
85 .64825.64249.63682.63124.62575.62035.61503.60980.60465.59958
86 .66477.65918.65367.64825.64291.63765.63248.62738.62236.61741
87 .68092.67550.67016.66490.65972.65462.64959.64463.63975.63493
88 .69669.69145.68628.68119.67618.67123.66635.66154.65680.65212
89 .71201.70696.70198.69706.69221.68742.68270.67805.67345.66892
90 .72688.72201.71721.71246.70779.70317.69861.69411.68966.68528
91 .74126.73658.73196.72739.72289.71844.71404.70970.70541.70117
92 .75513.75063.74620.74181.73748.73320.72897.72479.72066.71657
93 .76844.76414.75988.75568.75152.74741.74334.73932.73535.73142
94 .78123.77711.77303.76901.76502.76108.75718.75332.74951.74573
95 .79348.78954.78565.78179.77798.77421.77047.76677.76312.75950
96 .80513.80137.79765.79397.79032.78671.78314.77960.77610.77263
97 .81621.81262.80908.80556.80208.79864.79522.79184.78849.78517
98 .82674.82333.81995.81660.81328.80999.80673.80351.80031.79713
99 .83677.83352.83030.82711.82395.82082.81771.81463.81158.80855
100.84616.84307.84001.83697.83396.83097.82801.82507.82216.81927
101.85514.85221.84930.84641.84355.84070.83788.83509.83231.82956
102.86348.86069.85792.85517.85245.84974.84706.84439.84175.83912
103.87182.86918.86655.86395.86136.85880.85625.85372.85121.84872
104.87950.87699.87450.87203.86957.86713.86471.86231.85992.85755
105.88706.88468.88232.87998.87765.87534.87304.87076.86849.86624
106.89664.89444.89225.89008.88792.88577.88364.88152.87941.87731
107.90756.90557.90358.90160.89964.89768.89574.89380.89188.88997
108.92565.92401.92238.92075.91914.91753.91592.91433.91274.91116
109.96211.96125.96041.95956.95872.95788.95704.95620.95537.95455


AgeInterest rate
10.2%10.4%10.6%10.8%11.0%11.2%11.4%11.6%11.8%12.0%
0 .01132.01110.01089.01071.01053.01037.01022.01008.00995.00983
1 .00520.00497.00476.00457.00439.00423.00407.00393.00379.00367
2 .00521.00496.00474.00454.00435.00417.00401.00385.00371.00358
3 .00539.00513.00490.00468.00447.00429.00411.00395.00380.00366
4 .00567.00540.00515.00492.00470.00450.00432.00414.00398.00383
5 .00603.00574.00547.00523.00500.00478.00459.00440.00423.00407
6 .00646.00615.00587.00560.00536.00513.00492.00472.00453.00436
7 .00693.00660.00630.00602.00576.00551.00529.00508.00488.00469
8 .00747.00712.00680.00650.00622.00596.00572.00549.00528.00509
9 .00808.00771.00737.00705.00675.00648.00622.00598.00576.00555
10 .00877.00838.00801.00767.00736.00707.00679.00654.00630.00608
11 .00954.00912.00873.00838.00804.00773.00744.00717.00692.00668
12 .01038.00994.00953.00915.00880.00847.00816.00788.00761.00735
13 .01127.01081.01038.00998.00960.00925.00893.00862.00833.00806
14 .01217.01168.01122.01080.01040.01003.00969.00937.00906.00878
15 .01305.01253.01205.01160.01118.01079.01042.01008.00976.00946
16 .01387.01333.01282.01234.01190.01149.01110.01074.01040.01009
17 .01467.01409.01356.01306.01259.01216.01175.01137.01101.01067
18 .01544.01484.01427.01374.01325.01279.01236.01195.01157.01122
19 .01621.01557.01497.01442.01390.01341.01295.01253.01213.01175
20 .01702.01634.01571.01512.01457.01406.01357.01312.01270.01230
21 .01784.01713.01646.01584.01526.01471.01420.01372.01327.01285
22 .01870.01794.01724.01658.01596.01539.01485.01434.01386.01342
23 .01961.01881.01807.01737.01672.01611.01554.01500.01449.01402
24 .02062.01977.01899.01825.01756.01691.01630.01573.01520.01469
25 .02175.02085.02002.01924.01851.01782.01718.01657.01600.01547
26 .02301.02207.02119.02036.01958.01886.01817.01753.01692.01635
27 .02443.02343.02250.02162.02080.02003.01930.01862.01798.01737
28 .02600.02495.02396.02303.02216.02134.02057.01985.01916.01852
29 .02771.02660.02555.02457.02365.02278.02197.02120.02047.01979
30 .02956.02838.02728.02624.02526.02434.02348.02266.02189.02116
31 .03155.03031.02914.02804.02701.02604.02512.02425.02344.02266
32 .03370.03239.03115.02999.02890.02787.02690.02598.02511.02429
33 .03601.03463.03333.03210.03095.02985.02883.02785.02693.02606
34 .03847.03701.03564.03434.03312.03197.03088.02985.02887.02795
35 .04109.03956.03811.03675.03546.03424.03308.03199.03096.02998
36 .04390.04228.04076.03932.03795.03667.03545.03429.03320.03216
37 .04688.04518.04358.04206.04062.03926.03798.03676.03560.03450
38 .05007.04829.04660.04500.04349.04205.04069.03940.03818.03701
39 .05346.05158.04981.04812.04653.04502.04358.04222.04092.03969
40 .05705.05508.05321.05144.04976.04817.04666.04522.04385.04255
41 .06086.05879.05683.05497.05320.05152.04993.04841.04697.04559
42 .06488.06271.06066.05870.05684.05508.05340.05180.05028.04882
43 .06917.06690.06474.06269.06074.05888.05711.05543.05382.05229
44 .07370.07132.06906.06691.06486.06291.06105.05928.05759.05598
45 .07850.07602.07365.07139.06924.06719.06524.06338.06160.05990
46 .08360.08100.07852.07616.07390.07176.06970.06775.06587.06409
47 .08897.08626.08367.08120.07884.07659.07443.07238.07041.06853
48 .09466.09183.08912.08654.08407.08172.07946.07730.07524.07326
49 .10069.09774.09492.09222.08964.08717.08481.08255.08038.07831
50 .10711.10403.10109.09827.09558.09300.09053.08816.08589.08371
51 .11392.11072.10765.10472.10191.09921.09663.09415.09178.08950
52 .12116.11783.11464.11159.10866.10585.10315.10057.09808.09569
53 .12883.12538.12206.11889.11584.11291.11010.10740.10481.10231
54 .13694.13336.12992.12662.12345.12041.11748.11467.11196.10936
55 .14547.14176.13820.13478.13149.12832.12528.12235.11953.11682
56 .15437.15054.14685.14330.13989.13661.13345.13040.12747.12464
57 .16365.15969.15588.15221.14868.14527.14199.13883.13578.13284
58 .17330.16921.16528.16149.15783.15431.15091.14763.14447.14141
59 .18335.17914.17508.17117.16739.16375.16023.15684.15356.15039
60 .19385.18952.18534.18131.17741.17365.17001.16650.16311.15982
61 .20480.20035.19605.19189.18788.18400.18025.17662.17311.16971
62 .21615.21158.20717.20290.19877.19477.19090.18716.18354.18003
63 .22791.22323.21870.21431.21007.20596.20198.19812.19439.19077
64 .24009.23530.23066.22616.22181.21758.21349.20953.20568.20195
65 .25271.24781.24306.23846.23400.22967.22547.22139.21744.21360
66 .26600.26100.25615.25145.24688.24245.23814.23396.22990.22596
67 .27992.27483.26989.26509.26043.25590.25150.24722.24306.23901
68 .29443.28926.28423.27934.27459.26997.26548.26110.25685.25271
69 .30950.30424.29914.29417.28934.28463.28005.27559.27125.26703
70 .32508.31976.31459.30955.30464.29986.29520.29067.28625.28194
71 .34122.33585.33062.32552.32054.31570.31097.30637.30187.29749
72 .35790.35249.34721.34205.33703.33213.32734.32268.31812.31367
73 .37505.36960.36428.35909.35403.34908.34425.33953.33492.33042
74 .39258.38711.38177.37655.37145.36647.36160.35684.35219.34764
75 .41039.40491.39956.39432.38921.38420.37931.37452.36983.36525
76 .42843.42296.41760.41236.40724.40222.39731.39250.38779.38318
77 .44668.44122.43588.43065.42552.42050.41559.41077.40605.40143
78 .46510.45967.45435.44914.44403.43902.43411.42930.42458.41995
79 .48365.47826.47298.46780.46271.45773.45284.44804.44333.43871
80 .50226.49693.49169.48655.48150.47655.47169.46692.46224.45763
81 .52090.51562.51044.50536.50036.49546.49064.48590.48125.47668
82 .53951.53431.52920.52418.51924.51439.50963.50494.50033.49580
83 .55802.55291.54788.54294.53808.53329.52859.52396.51941.51493
84 .57640.57139.56645.56159.55681.55210.54747.54291.53843.53401
85 .59459.58968.58484.58008.57539.57077.56623.56175.55733.55298
86 .61254.60774.60302.59836.59377.58925.58479.58040.57607.57180
87 .63019.62551.62090.61635.61187.60745.60309.59880.59456.59038
88 .64751.64296.63847.63405.62968.62537.62112.61693.61279.60871
89 .66444.66003.65567.65137.64712.64293.63880.63471.63068.62670
90 .68094.67667.67244.66827.66415.66009.65607.65210.64818.64431
91 .69699.69285.68877.68473.68074.67680.67291.66906.66526.66150
92 .71254.70855.70460.70071.69685.69304.68928.68555.68187.67823
93 .72753.72369.71989.71613.71242.70874.70510.70150.69794.69442
94 .74200.73830.73464.73103.72745.72390.72040.71693.71350.71010
95 .75591.75236.74885.74538.74194.73853.73516.73182.72851.72524
96 .76920.76580.76243.75909.75579.75252.74928.74607.74289.73974
97 .78188.77863.77540.77220.76904.76590.76279.75971.75665.75363
98 .79399.79088.78779.78473.78170.77869.77571.77276.76983.76693
99 .80555.80257.79962.79670.79380.79092.78807.78525.78244.77966
100.81641.81357.81075.80796.80518.80243.79971.79700.79432.79165
101.82683.82412.82144.81877.81612.81350.81089.80831.80574.80320
102.83652.83394.83137.82882.82630.82379.82130.81883.81637.81394
103.84624.84379.84135.83892.83652.83413.83176.82941.82707.82475
104.85519.85285.85053.84822.84593.84365.84139.83915.83692.83470
105.86400.86178.85957.85737.85519.85302.85087.84873.84660.84449
106.87523.87316.87110.86905.86702.86500.86299.86099.85900.85703
107.88806.88617.88429.88242.88055.87870.87686.87502.87320.87139
108.90958.90802.90646.90490.90336.90182.90028.89876.89724.89573
109.95372.95290.95208.95126.95045.94964.94883.94803.94723.94643
AgeInterest rate
12.2%12.4%12.6%12.8%13.0%13.2%13.4%13.6%13.8%14.0%
0 .00972.00961.00951.00941.00932.00924.00916.00908.00901.00894
1 .00355.00345.00334.00325.00316.00307.00299.00292.00285.00278
2 .00346.00334.00323.00313.00303.00294.00286.00278.00270.00263
3 .00353.00340.00329.00318.00307.00298.00289.00280.00272.00264
4 .00369.00356.00343.00332.00321.00310.00300.00291.00283.00274
5 .00392.00377.00364.00352.00340.00329.00318.00308.00299.00290
6 .00420.00405.00391.00377.00365.00353.00342.00331.00321.00311
7 .00452.00436.00421.00406.00393.00380.00368.00357.00346.00336
8 .00490.00473.00457.00441.00427.00413.00400.00388.00376.00365
9 .00535.00517.00499.00483.00467.00453.00439.00426.00413.00402
10 .00587.00567.00548.00531.00514.00499.00484.00470.00456.00444
11 .00645.00624.00605.00586.00568.00551.00536.00521.00506.00493
12 .00711.00689.00668.00648.00629.00611.00595.00579.00563.00549
13 .00781.00757.00735.00714.00694.00675.00657.00640.00624.00609
14 .00851.00826.00802.00780.00759.00739.00720.00702.00684.00668
15 .00918.00891.00866.00842.00820.00799.00779.00759.00741.00724
16 .00979.00950.00924.00899.00875.00853.00832.00811.00792.00774
17 .01035.01006.00978.00951.00926.00902.00880.00859.00838.00819
18 .01088.01057.01027.00999.00973.00948.00924.00901.00880.00860
19 .01139.01106.01075.01045.01017.00990.00965.00942.00919.00898
20 .01192.01157.01124.01092.01063.01035.01008.00983.00959.00936
21 .01245.01208.01173.01139.01108.01078.01050.01023.00998.00974
22 .01300.01260.01222.01187.01154.01122.01092.01064.01037.01011
23 .01357.01315.01275.01238.01202.01168.01137.01106.01078.01051
24 .01422.01377.01334.01294.01257.01221.01187.01155.01124.01095
25 .01496.01448.01403.01361.01320.01282.01246.01212.01180.01149
26 .01582.01531.01483.01438.01395.01354.01316.01279.01244.01211
27 .01680.01626.01575.01527.01481.01437.01396.01357.01320.01285
28 .01791.01734.01679.01628.01579.01533.01489.01447.01408.01370
29 .01914.01853.01795.01740.01688.01639.01592.01548.01505.01465
30 .02048.01982.01921.01862.01807.01754.01704.01657.01612.01569
31 .02193.02124.02058.01996.01937.01881.01828.01777.01729.01683
32 .02351.02278.02208.02142.02079.02019.01962.01908.01857.01808
33 .02523.02445.02371.02300.02234.02170.02109.02052.01997.01944
34 .02707.02624.02545.02470.02399.02331.02267.02205.02146.02091
35 .02905.02817.02733.02653.02577.02505.02436.02371.02308.02249
36 .03117.03024.02935.02850.02769.02693.02619.02550.02483.02419
37 .03345.03246.03151.03061.02976.02894.02816.02742.02671.02603
38 .03590.03485.03385.03289.03198.03112.03029.02950.02874.02802
39 .03852.03740.03634.03533.03436.03344.03256.03172.03092.03015
40 .04131.04013.03900.03793.03690.03593.03499.03410.03324.03242
41 .04428.04303.04184.04070.03962.03858.03759.03664.03573.03486
42 .04744.04612.04486.04366.04250.04140.04035.03934.03838.03745
43 .05083.04943.04810.04683.04561.04444.04333.04226.04123.04025
44 .05443.05296.05155.05021.04892.04768.04650.04537.04428.04324
45 .05827.05672.05523.05381.05245.05114.04989.04869.04754.04643
46 .06237.06074.05917.05767.05623.05485.05352.05225.05103.04986
47 .06673.06500.06335.06177.06025.05879.05739.05605.05475.05351
48 .07137.06955.06781.06614.06454.06300.06152.06010.05874.05742
49 .07632.07441.07258.07082.06913.06750.06595.06444.06300.06161
50 .08162.07962.07769.07584.07407.07236.07071.06913.06760.06614
51 .08731.08520.08318.08124.07937.07757.07583.07416.07256.07101
52 .09340.09119.08907.08703.08507.08317.08135.07959.07790.07627
53 .09991.09760.09538.09324.09118.08919.08728.08543.08365.08193
54 .10685.10443.10211.09987.09771.09562.09361.09167.08980.08799
55 .11420.11168.10925.10690.10464.10246.10035.09832.09635.09445
56 .12191.11928.11675.11430.11193.10965.10745.10531.10325.10126
57 .13001.12727.12462.12207.11960.11721.11491.11268.11052.10843
58 .13846.13561.13286.13020.12762.12513.12273.12040.11814.11595
59 .14732.14436.14150.13873.13605.13346.13095.12851.12616.12388
60 .15665.15358.15060.14772.14494.14224.13962.13709.13463.13225
61 .16642.16324.16016.15717.15428.15147.14875.14611.14355.14107
62 .17663.17333.17014.16704.16404.16113.15830.15556.15290.15031
63 .18726.18385.18055.17734.17423.17121.16828.16544.16267.15999
64 .19833.19481.19140.18809.18487.18175.17871.17576.17289.17010
65 .20987.20624.20273.19931.19598.19275.18961.18656.18358.18069
66 .22213.21840.21478.21125.20783.20449.20125.19809.19501.19202
67 .23508.23125.22753.22390.22037.21694.21360.21034.20716.20407
68 .24868.24476.24094.23722.23359.23006.22662.22327.22000.21681
69 .26291.25889.25498.25117.24745.24383.24030.23685.23349.23020
70 .27773.27364.26964.26574.26194.25823.25461.25107.24762.24425
71 .29321.28904.28496.28099.27710.27331.26961.26599.26246.25900
72 .30933.30508.30094.29689.29294.28907.28530.28160.27799.27446
73 .32602.32171.31751.31340.30938.30545.30160.29784.29416.29056
74 .34319.33884.33458.33042.32634.32236.31845.31463.31089.30723
75 .36076.35637.35207.34786.34374.33970.33575.33188.32808.32437
76 .37867.37425.36991.36567.36151.35744.35344.34953.34569.34192
77 .39690.39245.38810.38383.37964.37554.37151.36756.36369.35989
78 .41541.41096.40659.40231.39811.39398.38993.38596.38206.37823
79 .43418.42973.42536.42107.41686.41272.40866.40467.40075.39691
80 .45311.44868.44432.44003.43582.43169.42763.42363.41971.41585
81 .47219.46777.46343.45916.45497.45084.44679.44280.43888.43502
82 .49135.48696.48265.47841.47424.47014.46610.46213.45822.45437
83 .51052.50618.50191.49771.49357.48950.48549.48154.47766.47383
84 .52966.52537.52115.51700.51291.50887.50490.50099.49714.49334
85 .54870.54448.54032.53622.53218.52820.52428.52041.51660.51284
86 .56759.56344.55935.55532.55135.54742.54356.53974.53598.53227
87 .58626.58219.57818.57422.57031.56646.56266.55891.55521.55155
88 .60468.60070.59677.59290.58907.58529.58157.57788.57425.57066
89 .62277.61888.61505.61126.60753.60383.60018.59658.59302.58950
90 .64048.63670.63296.62927.62563.62202.61846.61494.61146.60803
91 .65778.65411.65048.64689.64334.63983.63636.63293.62954.62619
92 .67462.67106.66754.66406.66061.65720.65383.65050.64720.64393
93 .69094.68749.68408.68071.67737.67406.67079.66756.66435.66118
94 .70673.70340.70011.69685.69362.69042.68725.68412.68102.67794
95 .72199.71878.71560.71246.70934.70625.70319.70016.69716.69419
96 .73662.73353.73047.72743.72443.72145.71850.71557.71268.70981
97 .75063.74766.74471.74180.73890.73604.73319.73038.72758.72482
98 .76405.76120.75837.75557.75279.75003.74730.74459.74190.73923
99 .77690.77417.77146.76877.76610.76345.76083.75822.75564.75308
100.78901.78639.78379.78121.77866.77612.77360.77110.76862.76616
101.80067.79816.79568.79321.79076.78832.78591.78351.78114.77877
102.81152.80912.80674.80438.80203.79970.79738.79508.79280.79054
103.82245.82016.81789.81563.81339.81116.80895.80676.80458.80241
104.83250.83031.82814.82599.82384.82171.81960.81750.81541.81334
105.84239.84030.83823.83617.83412.83209.83006.82806.82606.82407
106.85507.85311.85117.84924.84733.84542.84352.84164.83976.83790
107.86958.86779.86600.86422.86246.86070.85895.85721.85548.85376
108.89422.89272.89123.88974.88826.88679.88533.88386.88241.88096
109.94563.94484.94405.94326.94248.94170.94092.94014.93937.93860

Table 90CM.--Life Table Applicable After April 30, 1999


Age xl(x)Age xl(x)Age xl(x)
0 100000 379692174 66882
1 99305 389676775 64561
2 99255 399660076 62091
3 99222 409641977 59476
4 99197 419622378 56721
5 99176 429601079 53833
6 99158 439578280 50819
7 99140 449553581 47694
8 99124 459526882 44475
9 99110 469498183 41181
1099097 479467084 37837
1199085 489433585 34471
1299073 499397586 31114
1399057 509359187 27799
1499033 519318088 24564
1598998 529274189 21443
1698950 539227090 18472
1798891 549176291 15685
1898822 559121192 13111
1998745 569060793 10773
2098664 578994794 8690
2198577 588922595 6871
2298485 598844196 5315
2398390 608759597 4016
2498295 618668198 2959
2598202 628569199 2122
2698111 6384620100 1477
2798022 6483465101 997
2897934 6582224102 650
2997844 6680916103 410
3097750 6779530104 248
3197652 6878054105 144
3297549 6976478106 81
3397441 7074794107 43
3497324 7173001108 22
3597199 7271092109 11
3697065 7369056110 0
(e) Effective/applicability dates.- This section applies on and after May 1, 2009.

[August 9, 2011]



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