Present Value Calculator
Find out what a future sum of money is worth in today's dollars. Useful for evaluating investment offers, annuities, bonds, and any decision involving money received in the future.
About this calculator
Present Value (PV) is the current worth of a future sum of money, discounted at a specific rate to reflect the time value of money — the principle that a dollar today is worth more than a dollar tomorrow. The formula is: PV = Future Value / (1 + discountRate/100)^periods. The discount rate represents the opportunity cost of capital — what you could earn by investing the money elsewhere. A higher discount rate makes future cash flows worth less today. PV analysis is the foundation of bond pricing, corporate valuation, lease accounting, and capital budgeting decisions. It allows you to compare cash flows occurring at different points in time on an equal footing.
How to use
You are promised $10,000 in 5 years. Your opportunity cost (discount rate) is 6% per year. PV = 10000 / (1 + 6/100)^5 = 10000 / (1.06)^5 = 10000 / 1.3382 ≈ $7,473. This means receiving $10,000 in 5 years is equivalent to having $7,473 today at a 6% discount rate. If someone offers to buy that future payment from you for $8,000 now, it's a good deal — you'd be receiving more than its present value.
Frequently asked questions
What discount rate should I use when calculating present value?
The discount rate should reflect the risk and opportunity cost associated with the specific cash flow you are evaluating. For risk-free government bonds, the prevailing Treasury yield is appropriate. For business investments, companies often use their Weighted Average Cost of Capital (WACC). For personal finance decisions, your expected investment return — such as a 7% historical stock market average — is a reasonable choice. Higher-risk cash flows warrant higher discount rates, which reduces their present value to compensate for uncertainty.
How does the present value formula differ from compound interest in reverse?
Compound interest projects a present amount forward in time to find its future value: FV = PV × (1 + r)^n. Present value simply inverts that relationship: PV = FV / (1 + r)^n. You are essentially asking 'what amount today, grown at rate r for n periods, would produce the future value?' Both formulas use the same exponential mechanics — present value is just discounting rather than compounding. This symmetry means you can rearrange either formula to solve for any single unknown given the other three variables.
When should a business use present value analysis to evaluate a capital investment?
Any time a business is deciding whether to spend money now in exchange for cash flows in the future — buying equipment, acquiring a company, or building a new facility — present value analysis should be applied. By discounting all projected future cash flows back to today and summing them (Net Present Value, or NPV), management can determine whether the investment creates or destroys value. If the NPV is positive, the investment returns more than the cost of capital and should generally be accepted. If negative, the capital would be better deployed elsewhere.