Future value calculator

This future value calculator shows what a starting amount plus regular contributions grows to at a given interest rate – or, the other way round, the present value: what a future sum is worth today. $10,000 plus $100 a month at 4% grows to 29,633.31 after 10 years.

Source: Microsoft Support – FV function (future value): equation with present value, payment and type 0/1. Updated: .

% p.a.
years
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Result

Future value
29,633.31
Your total contributions
22,000.00
Interest earned
7,633.31
Factor
Compounding factor: 1.490833
Effective annual rate
4.07%
Calculation
10,000.00 × 1.490833 + 100.00 × 147.249805 = 29,633.31
Year by year
YearTotal contributionsTotal interestValue at year end
111,200.00429.6611,629.66
212,400.00925.7213,325.72
313,600.001,490.8715,090.87
414,800.002,127.9516,927.95
516,000.002,839.8618,839.86
617,200.003,629.6820,829.68
718,400.004,500.5522,900.55
819,600.005,455.8025,055.80
920,800.006,498.8627,298.86
1022,000.007,633.3129,633.31

How it is calculated

Future value: the formula

Future value = starting amount × (1 + i)n + payment × ((1 + i)n − 1) ÷ i. Here i is the interest rate per period (annual rate ÷ periods per year) and n is the number of periods (years × periods per year). The first term is the starting amount compounded, the second is the future value of the regular payments.

Present value: what a future sum is worth today

Present value = future amount ÷ (1 + i)n. This is called discounting: 10,000 in 10 years is worth 6,755.64 today at 4%, but only 6,139.13 at 5%. The higher the rate and the longer the term, the smaller the present value. Regular payments are discounted with the annuity factor (1 − (1 + i)−n) ÷ i: 100 a year for 10 years at 4% has a present value of 811.09.

Payment at the start or end of the period

Payments at the start of a period earn interest for one period longer – the annuity factor is multiplied by (1 + i). This matches the “type” argument of the Excel functions FV and PV.

What is it used for?

Future and present value make payments at different times comparable – for savings plans, settlements, pensions or investment decisions. For taxes, inflation and costs, look at your own case separately: this calculator is deliberately kept to the pure math.

Honest limits

The calculator assumes a constant interest rate and ignores taxes, fees and inflation. The result is a model calculation, not a forecast or investment advice.

Frequently asked questions

How do you calculate future value?

Starting amount × (1 + i)^n, plus for regular payments payment × ((1 + i)^n − 1) ÷ i. 10,000 at 4% for 10 years is 14,802.44.

What is the difference between future value and present value?

Future value says what an amount will be worth later; present value says what a future amount is worth today. The interest rate connects the two.

How do I calculate present value?

Divide the future amount by (1 + i)^n: 10,000 in 10 years at 4% gives 6,755.64.

Which interest rate should I use for present value?

The return you could earn on an alternative, or a rate that reflects the risk of the payment. There is no official figure, so it pays to compare several rates.

How do I calculate future value in Excel?

With the function FV(rate, nper, pmt, pv, type), for example =FV(4%/12, 120, −100, −10000). The result matches this calculator.

Sources and legal basis

As of:

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