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Annuity Present Value Calculator

Estimate the present value of fixed future payments using a discount-rate assumption. This is simplified fixed-term annuity maths, not an insurance quote or product recommendation.

Present value inputs

Present value inputs

Future payment amount, discount rate, term and timing.

$

The fixed payment in each period.

%

Fixed annual rate used to discount future payments.

years

Must produce a whole number of payments for the selected frequency.

How often the future payment is received.

Beginning-of-period payments are discounted for less time.

Result updated. Estimated present value: $94,281.35.

Result summary

Present value

Discounted value of the future payment stream.

Estimate ready

$94,281.35

Discount effect: $25,718.65.

Key numbers

Total payments
$120,000.00
Discount effect
$25,718.65
Display and currency settingsSchedule display and regional currency formatting.

Region settings change defaults, labels, units and formatting only. They do not convert currencies or provide tax advice. USD defaults change currency formatting only.

Key takeaway

$1,000.00 per month for 10 years has an estimated present value of $94,281.35, compared with $120,000.00 in undiscounted payments.

Present value result

Present value, undiscounted total and discount effect.

Payment amount
$1,000.00
Present value
$94,281.35
Total undiscounted payments
$120,000.00
Discount effect
$25,718.65

Key calculation details

Frequency, timing, payment count and periodic discount rate.

Total undiscounted payments
$120,000.00
Discount effect
$25,718.65

Total payments minus present value.

Number of payments
120
Periodic discount rate
0.417%

Annual discount rate divided by payment frequency.

Present value schedulePeriod-by-period discounting from the same calculation.
PeriodPaymentDiscount factorPresent valueCumulative present value
1$1,000.000.99585062$995.85$995.85
2$1,000.000.99171846$991.72$1,987.57
3$1,000.000.98760345$987.60$2,975.17
4$1,000.000.98350551$983.51$3,958.68
5$1,000.000.97942457$979.42$4,938.10
6$1,000.000.97536057$975.36$5,913.46
7$1,000.000.97131343$971.31$6,884.78
8$1,000.000.96728308$967.28$7,852.06
9$1,000.000.96326946$963.27$8,815.33
10$1,000.000.95927249$959.27$9,774.60
11$1,000.000.95529211$955.29$10,729.89
12$1,000.000.95132824$951.33$11,681.22
13$1,000.000.94738082$947.38$12,628.60
14$1,000.000.94344978$943.45$13,572.05
15$1,000.000.93953505$939.54$14,511.59
16$1,000.000.93563657$935.64$15,447.22
17$1,000.000.93175426$931.75$16,378.98
18$1,000.000.92788806$927.89$17,306.87
19$1,000.000.9240379$924.04$18,230.90
20$1,000.000.92020372$920.20$19,151.11
21$1,000.000.91638544$916.39$20,067.49
22$1,000.000.91258301$912.58$20,980.08
23$1,000.000.90879636$908.80$21,888.87
24$1,000.000.90502542$905.03$22,793.90
25$1,000.000.90127013$901.27$23,695.17
26$1,000.000.89753042$897.53$24,592.70
27$1,000.000.89380623$893.81$25,486.51
28$1,000.000.89009749$890.10$26,376.60
29$1,000.000.88640414$886.40$27,263.01
30$1,000.000.88272611$882.73$28,145.73
31$1,000.000.87906335$879.06$29,024.80
32$1,000.000.87541578$875.42$29,900.21
33$1,000.000.87178335$871.78$30,772.00
34$1,000.000.86816599$868.17$31,640.16
35$1,000.000.86456365$864.56$32,504.73
36$1,000.000.86097624$860.98$33,365.70
37$1,000.000.85740373$857.40$34,223.11
38$1,000.000.85384604$853.85$35,076.95
39$1,000.000.85030311$850.30$35,927.25
40$1,000.000.84677488$846.77$36,774.03
41$1,000.000.84326129$843.26$37,617.29
42$1,000.000.83976228$839.76$38,457.05
43$1,000.000.83627779$836.28$39,293.33
44$1,000.000.83280776$832.81$40,126.14
45$1,000.000.82935212$829.35$40,955.49
46$1,000.000.82591083$825.91$41,781.40
47$1,000.000.82248381$822.48$42,603.88
48$1,000.000.81907102$819.07$43,422.96
49$1,000.000.81567238$815.67$44,238.63
50$1,000.000.81228785$812.29$45,050.92
51$1,000.000.80891736$808.92$45,859.83
52$1,000.000.80556086$805.56$46,665.39
53$1,000.000.80221828$802.22$47,467.61
54$1,000.000.79888957$798.89$48,266.50
55$1,000.000.79557468$795.57$49,062.08
56$1,000.000.79227354$792.27$49,854.35
57$1,000.000.7889861$788.99$50,643.34
58$1,000.000.7857123$785.71$51,429.05
59$1,000.000.78245208$782.45$52,211.50
60$1,000.000.77920539$779.21$52,990.71
61$1,000.000.77597217$775.97$53,766.68
62$1,000.000.77275237$772.75$54,539.43
63$1,000.000.76954593$769.55$55,308.98
64$1,000.000.76635279$766.35$56,075.33
65$1,000.000.76317291$763.17$56,838.50
66$1,000.000.76000621$760.01$57,598.51
67$1,000.000.75685266$756.85$58,355.36
68$1,000.000.75371219$753.71$59,109.07
69$1,000.000.75058476$750.58$59,859.66
70$1,000.000.7474703$747.47$60,607.13
71$1,000.000.74436876$744.37$61,351.50
72$1,000.000.74128009$741.28$62,092.78
73$1,000.000.73820424$738.20$62,830.98
74$1,000.000.73514115$735.14$63,566.12
75$1,000.000.73209078$732.09$64,298.21
76$1,000.000.72905306$729.05$65,027.27
77$1,000.000.72602794$726.03$65,753.29
78$1,000.000.72301537$723.02$66,476.31
79$1,000.000.72001531$720.02$67,196.33
80$1,000.000.7170277$717.03$67,913.35
81$1,000.000.71405248$714.05$68,627.41
82$1,000.000.7110896$711.09$69,338.50
83$1,000.000.70813902$708.14$70,046.63
84$1,000.000.70520069$705.20$70,751.83
85$1,000.000.70227454$702.27$71,454.11
86$1,000.000.69936054$699.36$72,153.47
87$1,000.000.69645863$696.46$72,849.93
88$1,000.000.69356876$693.57$73,543.50
89$1,000.000.69069088$690.69$74,234.19
90$1,000.000.68782495$687.82$74,922.01
91$1,000.000.6849709$684.97$75,606.98
92$1,000.000.6821287$682.13$76,289.11
93$1,000.000.67929829$679.30$76,968.41
94$1,000.000.67647962$676.48$77,644.89
95$1,000.000.67367265$673.67$78,318.56
96$1,000.000.67087733$670.88$78,989.44
97$1,000.000.66809361$668.09$79,657.53
98$1,000.000.66532143$665.32$80,322.86
99$1,000.000.66256076$662.56$80,985.42
100$1,000.000.65981155$659.81$81,645.23
101$1,000.000.65707374$657.07$82,302.30
102$1,000.000.6543473$654.35$82,956.65
103$1,000.000.65163216$651.63$83,608.28
104$1,000.000.64892829$648.93$84,257.21
105$1,000.000.64623565$646.24$84,903.45
106$1,000.000.64355417$643.55$85,547.00
107$1,000.000.64088382$640.88$86,187.88
108$1,000.000.63822455$638.22$86,826.11
109$1,000.000.63557632$635.58$87,461.68
110$1,000.000.63293907$632.94$88,094.62
111$1,000.000.63031277$630.31$88,724.94
112$1,000.000.62769736$627.70$89,352.63
113$1,000.000.62509281$625.09$89,977.73
114$1,000.000.62249906$622.50$90,600.23
115$1,000.000.61991608$619.92$91,220.14
116$1,000.000.61734381$617.34$91,837.48
117$1,000.000.61478222$614.78$92,452.27
118$1,000.000.61223126$612.23$93,064.50
119$1,000.000.60969088$609.69$93,674.19
120$1,000.000.60716104$607.16$94,281.35

Things to check

No major warnings for these inputs.

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General estimate only

This calculator provides a general estimate using simplified annuity maths. It is not a quote for a lifetime annuity or insurance product. It does not include insurer pricing, mortality assumptions, rider costs, surrender charges unless entered, taxes, inflation adjustments, commissions, product-specific caps, participation rates, state rules, or personal financial advice.

How this annuity present value calculator works

The calculator discounts each future payment back to today using the payment amount, discount rate, payment frequency, payment timing and number of payments. Ordinary annuity timing assumes payments happen at the end of each period. Annuity due timing assumes payments happen at the beginning.

Payment timing and discount rate

The discount rate is a fixed annual assumption used to estimate what future payments are worth today. Beginning of-period payments are discounted for less time than end-of-period payments, so annuity due timing usually has a slightly higher present value.

What this does not include

This calculator provides a general estimate using simplified annuity maths. It is not a quote for a lifetime annuity or insurance product. It does not include insurer pricing, mortality assumptions, rider costs, surrender charges unless entered, taxes, inflation adjustments, commissions, product-specific caps, participation rates, state rules, or personal financial advice.

Key terms and assumptionsPayment amount, discount rate, payment frequency, ordinary annuity timing, annuity due timing and estimate limits.
Payment amount
Payment amount is treated as the same fixed future payment in every selected period.
Discount rate
Discount rate is a fixed annual assumption divided by the payment frequency for the periodic discount rate.
Payment frequency
Monthly, quarterly, semiannual and annual frequencies are supported. Frequency determines the number of payments and the periodic discount rate.
Ordinary annuity
Ordinary annuity timing assumes each payment happens at the end of the period.
Annuity due
Annuity due timing assumes each payment happens at the beginning of the period.
General estimate
This calculator uses simplified fixed-term annuity maths and excludes insurance pricing, mortality assumptions, taxes, fees, inflation and personal financial advice.

Guides and methodology

Plain-English notes that explain the assumptions behind related calculators and tools.

Related calculators

FAQs

What does this present value calculator estimate?

It estimates what a fixed stream of future payments may be worth today using the payment amount, discount rate, payment frequency and timing entered.

Is this a lifetime annuity quote?

No. It is simplified fixed-term annuity maths, not a lifetime annuity quote, insurance product quote or product recommendation.

What is a discount rate?

A discount rate is the annual rate assumption used to translate future payments into a present-value estimate. The calculator does not choose or recommend a rate.

What is the difference between ordinary annuity and annuity due?

An ordinary annuity assumes payments happen at the end of each period. An annuity due assumes payments happen at the beginning of each period.

Does this include taxes or fees?

No. It does not include tax, account fees, surrender charges, commissions, product rules, inflation or personal financial advice.

Why might a real annuity price differ?

Insurance products can include insurer pricing, mortality assumptions, riders, fees, commissions, state rules and other contract-specific details that this calculator does not model.