Time Value of Money: The Foundation of Every Financial Decision

The time value of money is the idea nearly every financial decision is built on: a pound in your hand today is worth more than a pound you’ll receive a year from now.

Why?

1. Opportunity cost: the money you have today can be invested to earn a return. Wait a year to receive it, and you miss out on that return.
2. Inflation: the purchasing power of money erodes over time.
3. Risk: future money is never 100% guaranteed — there’s always some chance it won’t arrive as expected.

Future Value

Future Value = Present Value × (1 + rate of return)^number of periods
FV = PV × (1 + r)^n

If you invest EGP 10,000 at a 10% annual return for 3 years:

FV = 10,000 × (1.10)^3 = EGP 13,310

Present Value

The exact reverse of future value — it converts a future amount back into today’s value:

Present Value = Future Value ÷ (1 + discount rate)^number of periods
PV = FV ÷ (1 + r)^n

This is exactly the logic behind the NPV function you learned in the Excel Fundamentals course — every future cash flow is discounted back to its present value before being summed.

Compounding frequency matters

If the same annual interest rate is compounded monthly instead of annually, the actual value grows faster because interest is calculated on prior interest more often. That’s why we distinguish between:

• Nominal Rate: the rate quoted annually.
• Effective Annual Rate: the true rate after accounting for compounding frequency.

In the next lesson, we’ll put this time value of money to work in the core metrics every company uses to evaluate investment decisions.