The Present Value Calculator finds what a future sum of money is worth today by discounting it at a chosen rate. Enter a future amount or a stream of payments, the interest rate, and the number of periods, and the Present Value Calculator returns today's equivalent value, showing how much the future money is discounted.
Present value is the mirror image of future value: where future value grows a sum forward in time, present value discounts a future sum back to the present. The Present Value Calculator answers what a payout later is worth now, which underlies pricing bonds, valuing pensions, and comparing a lump sum against a stream of payments.
*These results are estimates for information only, not financial or investment advice.*
Calculate the present value of money
The Present Value Calculator computes today's worth of a future amount by reversing compound growth. Present value rests on the idea that money available now is worth more than the same amount later, because money in hand can earn a return over time.
Discounting is compounding run backward. A future sum is divided by (1 + i) for each period between now and then, because a smaller amount today would grow to that future sum at the given rate. The Present Value Calculator applies this to find the present value: a $1,628.89 payment due in 10 years, discounted at 5%, is worth exactly $1,000 today. The higher the rate or the longer the wait, the more the future money is discounted, and the smaller its present value.
The Present Value Calculator shows the discount it applies alongside the result, so the gap between the future amount and its present value is clear, not hidden inside a single figure.
Find the present value of a lump sum
The Present Value Calculator finds the present value of a single future amount by discounting it over the full term. A lump sum is one payment due at a future date, and its present value is what that payment is worth in today's money.
The formula divides the future value by (1 + i) raised to the number of periods: PV = FV / (1 + i)^n. The Present Value Calculator computes this directly from the future amount, the rate, and the term. A $10,000 inheritance due in 5 years, discounted at 6%, has a present value of $7,473, that is the amount which, invested today at 6%, would grow to $10,000 in five years. The present value is always less than the future value whenever the rate is positive.
The Present Value Calculator makes the single-sum discount concrete, which is the foundation for the annuity and cash-flow calculations that discount many amounts at once.
Find the present value of an annuity
The Present Value Calculator finds the present value of an annuity by discounting a series of equal payments to today. An annuity is a stream of equal payments at regular intervals, and its present value is the single amount today that is equivalent to the whole stream.
Each payment is discounted by its own distance in time and the results summed, which the annuity formula does in one step: PV = PMT × (1 − (1 + i)^−n) / i. The Present Value Calculator computes the present value of the stream from the payment, rate, and number of payments. Ten annual payments of $100, discounted at 5%, have a present value of $772.17, that lump sum today is worth the same as receiving $100 a year for ten years. This is exactly how a lottery's lump-sum option or a pension's buyout is valued.
The Present Value Calculator handles the annuity in a single calculation, and supports a growing annuity where the payments rise by a fixed rate each period.
Find the present value of uneven cash flows
The Present Value Calculator finds the present value of uneven cash flows by discounting each one separately and adding them. Uneven cash flows are amounts that differ from period to period, so no single annuity formula applies.
The Present Value Calculator discounts each cash flow by its own period and sums the results: PV = Σ CF_t / (1 + i)^t.
This is the same calculation behind net present value, which discounts a project's varying returns to judge whether it adds value. Entering a series such as $500, then $700, then $900 over three years at 8% returns the combined present value of the three, each weighted by how far in the future it falls. The furthest cash flows contribute the least, because they are discounted the most.
The Present Value Calculator lists each cash flow with its own present value, so the contribution of each period appears alongside the total, which is where the shape of the discounting becomes visible.
Read the present value factor
The Present Value Calculator shows the present value factor, the multiplier that converts a future amount to its present value. The present value factor is 1 / (1 + i)^n, the number by which any future sum is multiplied to discount it to today.
Present value tables list this factor by rate and number of periods, so a future amount can be discounted by looking up the factor and multiplying. The Present Value Calculator computes the factor exactly rather than rounding to a table: at 5% over 10 years the factor is 0.6139, so any amount due then is worth about 61% of its face value today. The factor falls as the rate or the term rises, which is why distant or heavily discounted sums are worth so little now.
The Present Value Calculator displays the factor alongside the result, connecting the quick table-lookup method to the exact figure it produces.
Compare present value and future value
The Present Value Calculator pairs with future value as the two directions of the same time-value relationship. Present value discounts a future sum to today; future value compounds a present sum forward, the same equation solved in opposite directions.
The two are inverses: discounting a future value by a rate returns the present value, and compounding that present value by the same rate returns the original future value.
The Present Value Calculator computes the discounting direction, while a future value calculator computes the compounding one. A $1,000 sum today grows to $1,628.89 in 10 years at 5%, and that $1,628.89 discounts back to exactly $1,000, the round trip confirms the symmetry. Present value asks what a future amount is worth now; future value asks what a present amount becomes later.
The Present Value Calculator makes this reversibility explicit, so the link between today's money and tomorrow's is easy to move across in either direction.
Frequently asked questions
How is present value calculated?
Present value is calculated by dividing a future amount by (1 + i) raised to the number of periods, which discounts it to today's worth. The Present Value Calculator applies this to a lump sum, an annuity, or uneven cash flows. A $1,628.89 sum due in 10 years at 5% has a present value of $1,000.
What is the difference between present value and future value?
Present value is what a future amount is worth today; future value is what a present amount becomes later. The Present Value Calculator discounts backward, while future value compounds forward. They are inverses: discounting a future value and then compounding it returns the original amount, confirming the two are one relationship viewed in opposite directions.
What is the present value of an annuity?
The present value of an annuity is the single amount today equal to a stream of equal future payments. The Present Value Calculator computes it with PV = PMT × (1 − (1 + i)^−n) / i. Ten annual payments of $100 at 5% have a present value of $772.17, which is how a pension buyout or lottery lump sum is valued.
Why does present value decrease as the interest rate rises?
Present value decreases as the rate rises because a higher rate means a smaller amount today would grow to the same future sum. The Present Value Calculator divides by a larger factor when the rate is higher, shrinking the present value. Higher rates and longer terms both discount future money more heavily.
What is a present value factor?
A present value factor is the multiplier 1 / (1 + i)^n that converts a future amount to its present value. The Present Value Calculator computes it exactly, so at 5% over 10 years the factor is 0.6139. Multiplying any future amount by the factor gives its present value, the method behind present value tables.
When is present value used?
Present value is used to value future money in today's terms, pricing bonds, valuing pensions, comparing a lump sum against instalments, and judging investments through net present value. The Present Value Calculator supports each by discounting lump sums, annuities, and uneven cash flows to a single present figure.
Summary
The Present Value Calculator discounts future money to its worth today, reversing the compounding that future value applies.
For a single lump sum it divides by (1 + i) for each period, so $1,628.89 due in 10 years at 5% is worth exactly $1,000 now; for an annuity it discounts a stream of equal payments in one step, valuing ten annual $100 payments at $772.17; and for uneven cash flows it discounts each amount separately and sums them, the same calculation behind net present value.
The present value factor, 1 / (1 + i)^n, falls as the rate or term rises, which is why distant or heavily discounted sums are worth so little today. Because discounting and compounding are inverses, the Present Value Calculator and future value are the two directions of one time-value relationship, and the round trip between $1,000 and $1,628.89 confirms the symmetry. These results are estimates for information only, not financial advice.