Present Value Calculator

Money later is worth less than money now

Not because of inflation alone, but because money held today can be invested. Present value reverses compounding: divide the future amount by one plus the rate, raised to the number of periods. 10,000 arriving in 5 years at an 8 percent discount rate is worth about 6,806 today — meaning you should be indifferent between the two.

The discount rate is the whole argument

Everything else is arithmetic. Use your cost of capital, or the return available on the next best use of the money at comparable risk. A higher rate punishes distant cash flows harder: at 5 percent, money in 20 years retains 38 percent of its value; at 12 percent it retains 10 percent. Two analysts reaching opposite conclusions about the same project have almost always chosen different rates rather than made different calculations.

Riskier cash flows need higher rates

A guaranteed government payment and a speculative startup's projected revenue should not be discounted identically. Raising the rate for uncertainty is the standard adjustment, though it bundles risk and time together in one number, which is why some analyses instead adjust the cash flows themselves and discount at a risk-free rate.

Where it decides real questions

Lottery lump sum against annuity — the lump sum usually wins if you can invest at a rate above the annuity's implied one. Lease against buy. Whether a settlement offer today beats staged payments. Bond pricing is nothing but the present value of coupons plus principal, which is why bond prices fall when rates rise: the same future payments are being discounted harder.

NPV is present value with the cost included

Net present value discounts every future inflow and subtracts the initial outlay. Positive means the project beats your discount rate; negative means it does not. It is the correct tool for multi-year decisions, where undiscounted ROI systematically flatters anything with distant returns.