How to use the present value calculator
- Choose what to find: the present value of a future amount, the future value of an amount today, or the discount rate that links two amounts.
- Enter the amounts you know, the number of years and the annual discount rate if needed.
- Pick how often the rate compounds, from annually to daily.
- Read the headline, the discount factor and the table that grows the starting amount to the future amount.
Formula
Present value = future value / (1 + r / m)^(m x years)
Future value = present value x (1 + r / m)^(m x years)
Rate = m x ((future value / present value)^(1 / (m x years)) - 1)
Discount factor = 1 / (1 + r / m)^(m x years)
r is the annual rate and m is the number of compounding periods per year. The discount factor is what a dollar in the future is worth today.
Worked examples
Discounting: $50,000 to be received in 10 years, discounted at 6% compounded annually, has a present value of $27,919.74. The discount factor is 0.558395, so each future dollar is worth about 56 cents today, and the difference is $22,080.26.
Compounding frequency: with monthly compounding instead of annual, the same $50,000 is worth $27,481.64 today, because more frequent compounding means a larger effective rate.
Growing forward and solving for the rate: $30,000 today at 6% for 10 years becomes $53,725.43. Going from $30,000 to $50,000 in 10 years requires about 5.241% a year, compounded annually.
What a discount rate means
A dollar today can be invested and earn a return, so it is worth more than a dollar promised later. The discount rate is the return you could earn on a comparable investment, or the rate that reflects the risk of not being paid. A higher rate means the future money is worth less today. That is why the choice of rate often matters more than any other input.
Common uses
People use present value to compare a lump sum with a series of payments, to value a future settlement, to judge a buyout offer, or to decide how much to set aside now for a known future cost. For a stream of equal payments, use the annuity calculator. For prices that rise over time, the inflation calculator shows how purchasing power changes.
When you solve for the rate, you get the return that connects the two amounts. That is the same idea as the compound annual growth rate, but with the compounding frequency you choose.
Choosing a sensible rate
Try a range, such as 3%, 6% and 9%, and look at how much the answer moves. If the decision flips inside that range, the choice of rate is the real question. The 6% in the examples is an illustration, not a recommendation or market data.
Assumptions and limits
- The rate is constant for the whole period and compounds at the frequency you choose.
- There is a single future amount. Regular payments need the annuity calculator.
- Taxes, inflation, fees and the risk of non-payment are not modeled. Fold inflation or risk into the discount rate if you want to reflect them.
- Rates from -50% to 100% and terms up to 100 years are accepted, so results stay meaningful.
- This is arithmetic, not financial advice, and the example rate is not current market data.
Frequently asked questions
What does present value mean?
It is what a future amount of money is worth today, given a rate of return you could earn in the meantime. Money received later is worth less than the same amount received now because of that lost opportunity to invest it.
How do I pick a discount rate?
Use the return available on a comparable investment, or add a premium for risk. Because the answer is sensitive to the rate, test a low, middle and high value. There is no single right number, and the default is only an example.
Why does monthly compounding give a lower present value?
More frequent compounding makes the effective yearly rate a little higher, so the same future amount needs fewer dollars today to reach it. With 6% the effective rate is 6.17% monthly versus 6% annual.
What is the difference between this and the annuity calculator?
This tool handles one amount at one future date. The annuity calculator handles a series of equal payments. If your cash flows are uneven, discount each one separately and add the results.
Can the rate be negative?
Yes, within the limits shown. A negative rate means money loses value over time, so the present value is larger than the future amount. Rates that would make the growth factor zero or negative are rejected.