Time Value of Money
Present vs future value.
What does Time Value of Money mean?
The Time Value of Money (TVM) is a fundamental financial principle stating that a dollar today is worth more than a dollar in the future. This is because money available now can be invested and earn interest, growing over time. TVM is the foundation of discounted cash flow analysis, investment valuation, and retirement planning. Understanding TVM helps you compare financial options across different time periods and make better decisions about saving, investing, and borrowing.
How to calculate Time Value of Money
Future Value is calculated with the formula: FV = PV x (1 + r)^n, where PV is the present value, r is the annual interest rate (as a decimal), and n is the number of years. For example, $10,000 invested at 7% annual interest for 10 years grows to 10,000 x (1.07)^10 = $19,671.51. The total interest earned is FV minus PV ($9,671.51), and the effective return is ((FV / PV) - 1) x 100 = 96.72%.
FAQ
A dollar today can be invested to earn interest or returns, so it will grow to more than a dollar in the future. Additionally, inflation erodes purchasing power over time, meaning a dollar in the future buys less than a dollar today. This opportunity cost of waiting is what gives money its time value.
Higher interest rates cause money to grow faster. At 5% annual interest, $10,000 becomes $16,289 after 10 years. At 10%, it becomes $25,937 — nearly 60% more. Even small differences in rates compound significantly over long periods, which is why finding the best rate matters.
Present value (PV) is what money is worth right now. Future value (FV) is what that same money will be worth at a specific point in the future after earning interest. They are two sides of the same coin — PV looks backward from the future, while FV looks forward from today.
This calculator computes nominal future value. To account for inflation, subtract the expected inflation rate from your interest rate to get the "real" rate. For example, if your investment earns 7% and inflation is 3%, use 4% as the rate to see your future value in today's purchasing power.
TVM is used when comparing lump-sum payments vs. annuities, evaluating whether to pay off debt early, deciding between investment options, planning for retirement, and assessing loan offers. Any time you need to compare money at different points in time, TVM provides the framework.
Related calculators
- Compound Interest— Growth of money with reinvested interest.
- CAGR— Average annual growth rate.
- NPV— Net present value of future cash flows.
- ROI— Return relative to investment cost.