Time Value of Money (TVM)
The time value of money is the foundational principle of finance: a dollar today is worth more than a dollar in the future. Money available today can be invested and earn returns, making it worth more than the same amount received later.
This principle underpins nearly every financial calculation — from mortgage payments to retirement planning to corporate valuations.
Why Money Has Time Value
Three reasons:
- Investment opportunity: Money today can earn interest or investment returns. $1,000 today at 7% annually becomes $1,070 in one year.
- Inflation: Rising prices mean $1,000 today buys more than $1,000 will buy in the future.
- Risk: Future money is uncertain. You might not receive it. Money in hand is certain.
Present Value and Future Value
Future Value (FV): What a sum of money today will be worth after earning returns.
FV = PV × (1 + r)^n
$10,000 at 7% for 10 years = $10,000 × (1.07)^10 = $19,672
Present Value (PV): What a future sum of money is worth today (discounting back).
PV = FV / (1 + r)^n
What is $50,000 received in 15 years worth today, if you could earn 6% annually? PV = $50,000 / (1.06)^15 = $20,881
Practical Implications
Retirement savings: Starting at 25 vs. 35 is not just 10 fewer years — it's the difference between your contributions compounding for 40 years vs. 30 years. TVM explains why the first years of investing matter most.
Loan decisions: TVM is why borrowing costs so much over long periods. The bank values your future payments at a discount — which is why they can lend you $300,000 today in exchange for 30 years of payments totaling $680,000.
Annuities and pensions: Whether a lump sum or a stream of payments is "better" is a present value calculation. TVM provides the framework.
The Discount Rate
The discount rate is the interest rate used to calculate present value. It represents either:
- The rate of return you could earn on an alternative investment
- The cost of capital (for businesses)
- An inflation-adjusted required return
Choosing the right discount rate is often the most important and subjective part of any TVM analysis.
Related Tools
- Compound Interest Calculator — Calculate future value of investments (FV)
- Retirement Calculator — Model TVM across a 30–40 year investment horizon
- Loan Amortization Calculator — See the time value of money working in loan payments