← Back to Academy

The Time Value of Money: Why a Dollar Today Beats a Dollar Tomorrow

Money Basics • Beginner Investing • 6 min

If someone offered you $1,000 today or $1,000 in exactly 10 years, the choice should be obvious — and not just because you might not trust them to still have the money in a decade. A dollar today can immediately be put to work: deposited, invested, or used to pay off debt that's charging interest. A dollar promised for later hasn't had that chance yet, and by the time it arrives, it likely won't buy as much anyway.

This is the time value of money, and it's usually expressed with a simple formula: FV = PV × (1 + r)^n, where PV is the present value, r is the rate of return, and n is the number of years. Invest $1,000 today at a 7% average annual return, and in 10 years it grows to roughly $1,967 — not because you added more money, but because each year's return starts earning its own return too.

Insider Angle: the same formula runs in reverse to answer a different question: what is a future payment actually worth right now? That's called "discounting." A promise of $1,000 in 10 years, discounted back at 7%, is worth only about $508 today — meaning if someone offers you a choice between $600 today or $1,000 in 10 years at that rate, the $600 today is actually the better deal, even though $1,000 looks like the bigger number. Investment banks, pension funds, and anyone valuing a business use this exact math every single day to compare cash flows that arrive at different points in time.
Try This: Using FV = PV × (1 + r)^n, calculate what $500 invested today grows to in 20 years at a 7% average annual return. Then try it again assuming just 5%, and see how much that 2-point difference changes the final number.

Master this lesson

0
/ 100

Correct moves you up, wrong moves you down — reach 100 to master this lesson.

Log in to save your progress and earn XP.

Related lessons

What Is Money, and Why Does It Exist?
Before there was money, trading required both people to want exactly what the other had — money exists to solve that problem, and it has looked very different across human history.
5 min • Beginner
Earning, Spending, Saving, and Investing: The Four Things You Do With Money
Four different jobs, one paycheck: what you do with money after you earn it determines almost everything about your financial future.
6 min • Beginner
How Banks Actually Make Money From Your Deposits
Your deposit doesn't sit in a vault with your name on it — banks lend most of it out at a higher rate than they pay you, and the gap is their business model.
6 min • Beginner