Economics
Future Value
Quick fact
At a 7% annual return, $100 invested today would grow to over $196 in 10 years due to compounding—almost doubling without any additional effort.
Why this is interesting
Would you rather have $100 today or $100 a year from now? Most people choose today—and the concept of future value explains why a dollar today can be worth more than a dollar tomorrow.
Read the full explanation
Understanding Future Value
Future value answers a simple question: if I put a certain amount of money into an account that earns interest, how much will I have at a later date? Imagine planting a seed that grows a fixed percentage each year. The seed is your initial amount (present value), the growth rate is the interest rate, and the full-grown tree is the future value. For example, $100 invested at 5% annual interest becomes $105 after one year. If that $105 stays invested, it earns interest on the interest, so after two years you have $110.25. This snowball effect—compounding—is what makes future value grow faster over longer periods. The basic formula is FV = PV × (1 + r)^n, where 'r' is the interest rate per period and 'n' is the number of periods.
A deeper explanation
The mechanism behind future value is the time value of money: a dollar today is worth more than a dollar tomorrow because today's dollar can be invested to earn interest. Future value captures that growth by applying compound interest, where each period's interest is added to the principal, and subsequent interest is calculated on the larger base. This principle is crucial for financial planning—whether comparing investment returns, calculating loan payments, or saving for goals. It shows that even small differences in interest rates or time horizons can lead to dramatically different outcomes. By understanding future value, you can quantify the benefit of starting to save early, choose between investment options, and see the real cost of delaying decisions.