Present Value Calculator

A dollar today is worth more than a dollar tomorrow. Present value calculation quantifies exactly how much less a future sum is worth right now — essential for evaluating any investment, loan, or financial contract.

What Is Present Value?

Present Value (PV) is the current value of a future sum of money, discounted by an expected rate of return. If you could earn 8% annually on your money, $100 received one year from now is only worth about $92.59 today.

How to Use This Calculator

1. Enter the future value (the amount you'll receive or owe in the future).
2. Enter the discount rate (your required rate of return or cost of capital).
3. Enter the number of periods (years or months) until you receive the money.
4. For an annuity (regular payments), also enter the payment amount per period.
5. Click Calculate to find the present value.

Present Value Formulas

Single sum: PV = FV ÷ (1 + r)^n

Annuity (regular payments): PV = PMT × [1 − (1 + r)^(−n)] ÷ r

Example Calculations

Single sum: What is $50,000 received in 10 years worth today at 7% discount rate?
PV = $50,000 ÷ (1.07)^10 = $25,418

Annuity: What is $1,000/month for 5 years worth today at 6% annual rate?
PV = $1,000 × [1 − (1.005)^(−60)] ÷ 0.005 = $51,726

Common Mistakes to Avoid

• Using the wrong discount rate — Use your actual required return or cost of capital, not a random rate. Different discount rates produce dramatically different PVs.
• Mixing periods and rates — Annual discount rate requires annual periods. Monthly payments require a monthly rate (annual ÷ 12).
• Discounting from the wrong starting point — Be clear about when "now" is vs. when payments start.

Frequently Asked Questions

Why does present value matter?

Any time you evaluate a financial decision with future payments — lottery lump sum vs. annuity, lease vs. purchase, business acquisition — present value lets you compare apples to apples by translating everything to today's dollars.

What is the difference between PV and NPV?

PV discounts a single future amount or series of equal payments. NPV discounts a series of unequal cash flows and subtracts the initial investment — it tells you the value created by a project in today's dollars.

Should I take a lottery lump sum or annuity?

Calculate the PV of the annuity stream using a discount rate matching alternative investment returns. If the lump sum exceeds the PV of the annuity, take the lump sum (especially considering taxes on higher annual payments).

What is the perpetuity present value formula?

For an infinite stream of equal payments: PV = PMT ÷ r. A $100/year payment with a 5% discount rate is worth $2,000 today.

Conclusion

Present value is the foundation of all financial decision-making. Anytime you're comparing money received at different points in time, run the numbers through this calculator first.

Related: Future Value Calculator | Finance Calculator | IRR Calculator | Annuity Calculator