Time Value of Money Calculator
Results are estimates based on the values you enter. Recheck your inputs and assumptions before using the output for decisions.
Calculate future value and discount relationships from a present amount, interest rate, time, and compounding frequency.
Time Value of Money Calculator
Free online time value of money calculator to measure how money grows over time and how future money discounts back to present value. This calculator is useful for investors, savers, students, analysts, business owners, and anyone learning or applying finance. The time value of money principle says that money available today is worth more than the same amount received later because today’s money can be invested and earn a return. This idea is one of the foundations of finance, valuation, investing, saving, lending, and capital budgeting.
This calculator uses four main inputs. Present value means the amount of money you have today. Annual rate means the yearly return or discount rate. Years means the amount of time the money is allowed to grow or is discounted over. Compounds per year means how often the money compounds, such as annually, quarterly, monthly, or daily. Once those values are entered, the calculator shows future value, total growth, discount factor, and present value of $100 future money. These outputs help connect both sides of the time value of money idea: forward growth and backward discounting.
The formula of time value of money
Future value = Present value x (1 + r / m)^(m x t)
Total growth = Future value – Present value
Discount factor = 1 / (1 + r / m)^(m x t)
Present value of $100 future money = 100 x Discount factor
Here present value means the amount available today, r means the annual rate written as a decimal, m means compounds per year, t means time in years, future value means the amount after growth, total growth means how much the value increased, discount factor means the fraction used to convert future money into present money, and present value of $100 future money means what $100 received in the future is worth today.
Solved Example
Example 1: Find the time value of money result if present value is $10,000, annual rate is 6%, time is 5 years, and compounding is monthly.
Solve: Future value = 10000 x (1 + 0.06 / 12)^(12 x 5) = $13,488.50
Total growth = 13488.50 – 10000 = $3,488.50
Discount factor = 1 / (1.005)^60 = 0.7414
Present value of $100 future money = 100 x 0.7414 = $74.14
Example 2: Find the result if present value is $5,000, annual rate is 8%, time is 3 years, and compounding is quarterly.
Solve: Future value = 5000 x (1 + 0.08 / 4)^(4 x 3) = $6,340.61
Total growth = $1,340.61
Discount factor = 1 / (1.02)^12 = 0.7886
Present value of $100 future money = $78.86
Example 3: Find the result if present value is $20,000, annual rate is 4%, time is 10 years, and compounding is annual.
Solve: Future value = 20000 x (1.04)^10 = $29,604.89
Total growth = $9,604.89
Discount factor = 1 / (1.04)^10 = 0.6756
Present value of $100 future money = $67.56
Table of time value of money calculator
| Present Value | Rate | Years | Future Value |
|---|---|---|---|
| $5,000 | 8% | 3 | $6,340.61 |
| $10,000 | 6% | 5 | $13,488.50 |
| $20,000 | 4% | 10 | $29,604.89 |
| $50,000 | 7% | 8 | $85,906.63 |
How to use this time value of money calculator
Enter the present value in the proper input field. After that, enter the annual rate, the number of years, and the number of compounding periods per year. Then click the calculate button. The calculator will show future value, total growth, discount factor, and present value of $100 future money in the result box.
This calculator is especially useful when you want both sides of the money-over-time relationship in one place. It helps show how money compounds forward into the future and how future money discounts backward into present value. That makes it useful in saving decisions, investment review, capital budgeting, project evaluation, and classroom learning. Even simple decisions like whether to spend, save, or invest become clearer once the time value of money is visible.
When using the result, remember that the output depends on the interest rate, compounding frequency, and time period chosen. If those assumptions change, the result changes too. Even so, the time value of money principle remains one of the clearest and most practical tools in finance because it connects present cash, future cash, interest, and time into one simple framework. This calculator gives a fast way to apply that framework in real situations.