The Power of Compound Interest

 Benjamin Franklin once said, “Money makes money, and the money that money makes, makes more money.”

It’s not just a clever line — it’s one of the most powerful truths about building wealth. This is the magic of compound interest.

When you invest, your money starts earning interest. Then that interest earns even more interest. Over time, this creates a beautiful chain reaction — your money grows on its own, faster and faster. 

Think of it like planting a seed.  At first, it’s small. But with time, patience, and consistency, it grows into a tree that bears fruit year after year. You don’t need to start with a lot — you just need to start early and stay consistent. The longer your money has to grow, the more powerful compound interest becomes.

Let your money work for you, not the other way around.

💭 What is the future value of a $1 investment made today, two years from now?

The formula is:

$$FV=PV\times (1+r{)}^n$$

Where:

• $FV$ = future value (what you’ll have in the future)

• $PV$ = present value ($1 in this case)

• $r$ = annual interest rate (as a decimal)

• $n$ = number of years (2 years here)

Example:

If you invest $1 today, here’s what you’ll have two years from now at different interest rates 

Interest Rate	Formula	Future Value after 2 years
3%	$1 × (1.03)^2$	$1.0609
5%	$1 × (1.05)^2$	$1.1025
8%	$1 × (1.08)^2$	$1.1664
10%	$1 × (1.10)^2$	$1.21

So,

The higher the interest rate (and the longer you leave your money invested), the more your money grows — thanks to compound interest.

💭How much do I need to invest today to get $1 two years from now?

That’s the present value (PV) of $1 received in the future.

The formula is:

$$PV=\frac{FV}{(1+r{)}^{\mathrm{n}}}$$

Where:

• $PV$ = present value (what we’re finding)

• $FV$ = future value ($1 in this case)

• $r$ = annual interest rate (as a decimal)

• $n$ = number of years (2 here)

Example:

If the interest rate is 5% (r = 0.05), then:

$$PV=\frac{1}{(1+0.05{)}^2}=\frac{1}{1.1025}=0.9070\mathrm{<br>}\mathrm{<br>}$$

 the investor would need to lend $0.907 today to receive $1 in two years.

So,

The amount depends on the interest rate — higher rates mean you need to invest less today to reach $1 in the future.