Time Value of Money — enter any 4 of 5 variables, then compute the 5th
This finance calculator solves any Time Value of Money (TVM) variable — present value, future value, payment, number of periods, or interest rate. Enter any four of the five variables and the calculator computes the fifth, making it a versatile tool for loan analysis, retirement planning, and investment evaluation.
The Time Value of Money is a cornerstone concept in finance that applies to virtually every major financial decision — from taking out a mortgage to planning for retirement. Mastering TVM calculations helps you evaluate loans, investments, leases, and annuities with precision and confidence.
The calculator uses the standard TVM equation: PV(1+r)^N + PMT × ((1+r)^N − 1)/r + FV = 0. Depending on which variable is unknown, it applies the appropriate algebraic rearrangement or uses Newton-Raphson iteration for the interest rate.
The Time Value of Money principle states that a dollar today is worth more than a dollar in the future because money can earn interest or be invested. TVM calculations are fundamental to finance for valuing loans, mortgages, leases, annuities, and investment returns.
This calculator can determine loan payments (PMT), how much you can borrow (PV), the future value of investments (FV), how long to reach a savings goal (N), or the interest rate on a loan or investment (I/YR). It handles mortgages, car loans, retirement savings, and more.
An annuity is a series of equal payments made at regular intervals for a fixed period of time, such as a 30-year mortgage or a lottery payout. A perpetuity is an infinite stream of equal payments that continues forever, such as a scholarship fund or certain preferred stocks. Both are TVM applications.
Yes, this calculator is excellent for retirement planning. Use it to determine how much you need to save each month (PMT) to reach a retirement goal (FV), how much you can withdraw monthly in retirement, how many years your savings will last (N), or what rate of return you need to meet your goals (I/YR).
This calculator assumes monthly compounding, which is standard for most loans and investments. If your product compounds at a different frequency, adjust the periodic rate accordingly. More frequent compounding results in slightly higher effective returns for investments or higher effective costs for loans.