Lesson 7 of 16 · Level 2: Intermediate

Compound Interest and Inflation: Why to Invest and Why to Start Early

  • ⏱ 11 min read
  • ❓ 4 review questions
  • ✍️ Exercise with solution
In this lesson
  1. Inflation: the invisible tax
  2. Compound interest: interest on your interest
  3. The most powerful factor: time
  4. Compounding works against you too
  5. Calculate it yourself
  6. Summary
What you'll learn
  • How inflation quietly shrinks the buying power of money that sits still.
  • The difference between nominal and real returns, and how to calculate both.
  • How compound interest works, with the formula and a spreadsheet function.
  • The Rule of 72 for estimating how fast money doubles (or debt grows).
  • Why starting early beats investing more later, shown with real numbers.

Two forces act on your money every single day, whether you pay attention or not. Inflation takes buying power away from money that sits still. Compound interest makes invested money grow faster and faster over time. Understanding both is the best motivation there is to start investing, and to start soon. It also explains why expensive debt is so dangerous: compounding works just as hard against you.

$74what $100 buys after 10 years of 3% inflation
72 ÷ rateroughly how many years it takes money to double
$447kwhat $300 a month from age 25 to 35 can grow to by 67 at 7% a year

Inflation: the invisible tax

Inflation is the general rise in prices. In the U.S. it's usually tracked with the Consumer Price Index (CPI), published monthly by the Bureau of Labor Statistics. If inflation runs 3% a year, something that costs $100 today costs $103 next year. Flip it around: $100 sitting in a drawer buys about 3% less every year.

The cumulative effect is what hurts:

What $100 buys after 10 years

2% inflation$82
3% inflation$74
5% inflation$61
Annual inflationBuying power of $100 after 10 yearsYears until it's cut in half
2%≈ $82≈ 35
3%≈ $74≈ 23
5%≈ $61≈ 14

That's why keeping long-term savings in cash, or in an account that pays less than inflation, is a slow way of losing money. Cash is perfect for your emergency fund, where access matters most, but not for goals that are decades away.

Nominal return vs. real return

What matters isn't how much your money earns, but how much it earns above inflation:

Real return ≈ Nominal return − Inflation
(exact formula: (1 + nominal) ÷ (1 + inflation) − 1)

Example: a high-yield savings account paying 4.0% APY, inflation at 3.0%
Real return = 1.04 ÷ 1.03 − 1 ≈ 0.97%

A 4% yield sounds solid, but your buying power grows by less than 1% a year. And since savings interest is taxed as ordinary income, your after-tax real return is even lower. (Two exceptions worth knowing: interest on Treasury bills, notes and bonds is exempt from state and local income tax, and Treasury Inflation-Protected Securities, or TIPS, and I bonds are designed to keep pace with CPI.)

1. Your savings account pays 0.5% APY and inflation is 3%. What's happening to your buying power?

  • It grows by 0.5% a year
  • It stays the same, because your balance never goes down
  • It shrinks: your real return is about −2.4% a year

1.005 ÷ 1.03 − 1 ≈ −2.4%. Your balance rises, but each dollar buys less. That's the gap a high-yield account, or investing for long-term goals, is meant to close.

Compound interest: interest on your interest

With simple interest, you only earn on what you originally put in. With compound interest, your earnings get reinvested and start earning too. The difference is tiny at first and enormous over decades.

Future value = Starting amount × (1 + annual rate)^years

Invest $10,000 once and leave it alone for 30 years:

Average annual returnValue after 30 years
4%≈ $32,434
7%≈ $76,123

Three percentage points of extra return more than double the final amount. Over long periods, small differences in return, or in fees, as you'll see in lesson 9, have giant effects.

2. You invest $1,000 at 10% a year, compounded annually. How much do you have after 2 years?

  • $1,210
  • $1,200
  • $1,100

Year 1: $1,000 × 1.10 = $1,100. Year 2: $1,100 × 1.10 = $1,210. The extra $10 is interest earned on interest. $1,200 would be simple interest.

The Rule of 72

A mental shortcut for how long money takes to double: divide 72 by the annual rate.

At 6% a year → 72 ÷ 6 = 12 years to double
At 9% a year → 72 ÷ 9 = 8 years to double

It works for inflation too (at 3% inflation, prices double in about 24 years) and for debt: a credit card balance at 24% APR roughly doubles in 3 years if you ignore it.

The most powerful factor: time

Suppose you invest $300 a month and earn an average of 7% a year (an illustrative figure for a long-term diversified stock portfolio, not a promise; real returns bounce around a lot from year to year). Here's what you'd have at 67, the full Social Security retirement age for anyone born in 1960 or later:

Value at age 67 of $300 a month invested at 7% a year Starting at 25: about $857,000. Starting at 35: about $409,000. Starting at 45: about $182,000. $857k $409k $182k Age 25 Age 35 Age 45
  • Start at 25 (42 years) ≈ $856,589You contribute $151,200; growth adds about $705,000.
  • Start at 35 (32 years) ≈ $409,360You contribute $115,200; growth adds about $294,000.
  • Start at 45 (22 years) ≈ $182,012You contribute $79,200; growth adds about $103,000.
Same $300 a month, same 7% return. The only difference is the starting age.

Starting at 25 instead of 35 means contributing $36,000 more, but ending with more than twice as much. Now the most striking version: if you invest $300 a month only from 25 to 35 (just $36,000) and then never add another dollar, you'd have about $447,229 at 67. Someone who starts at 35 and invests $300 every month until 67 ($115,200 in total) ends up with about $409,360. Ten early years beat 32 later ones. The practical conclusion: start now, even with a small amount, and raise it as your income grows.

How much you invest

Fully in your control. Raise it 1% every time you get a raise.

How long it compounds

Fully in your control, but only if you start. Every year of delay is gone for good.

Net return

Only partly in your control: you can't pick the market's return, but you can cut fees and taxes and avoid panic selling.

Free money: the employer match

Compounding gets a turbocharger if your employer matches 401(k) contributions. Say you earn $60,000 and your employer matches 50% of what you contribute, up to 6% of pay. Contribute $3,600 (6%) and your employer adds $1,800. That's an instant 50% return before the market does anything. Not taking the full match is like declining part of your salary.

Compounding works against you too

The same force that grows your investments grows your debts. A credit card at 24% APR roughly doubles in 3 years if you don't pay it (72 ÷ 24 = 3). That's why paying off expensive debt is, in practice, the best guaranteed "investment" there is: every dollar of 24% interest you avoid is a 24% return, with zero risk.

3. Using the Rule of 72, about how long does an investment earning 6% a year take to double?

  • 6 years
  • 12 years
  • 72 years

72 ÷ 6 = 12 years. The exact answer is about 11.9 years, so the shortcut is very close at typical rates.

Calculate it yourself

In Excel or Google Sheets, the FV function calculates the future value of regular contributions:

=FV(monthly_rate, number_of_months, -monthly_contribution, -starting_amount)

Example: $300 a month, 7% a year, 30 years, nothing to start
=FV((1+7%)^(1/12)-1, 30*12, -300, 0)     → about $350,836

The negative signs mean the money leaves your pocket. The (1+7%)^(1/12)-1 part converts a 7% annual return into its monthly equivalent. Change one input at a time and watch which lever matters most.

Keeping retirement money in a savings account "to be safe."

Use cash for short-term needs; for goals decades away, inflation is the bigger risk.

Waiting until you earn more to start investing.

Start with $50 a month now; time matters more than amount.

Leaving part of your 401(k) match on the table.

Contribute at least enough to collect the full match.

4. Ana invests $300 a month from 25 to 35, then stops. Ben invests $300 a month from 35 to 67. Both earn 7% a year. Who has more at 67?

  • Ben, because he contributed more than three times as much
  • They end up about the same
  • Ana, because her money had 10 extra years to compound

Ana contributes $36,000 and ends with about $447,000; Ben contributes $115,200 and ends with about $409,000. Early dollars have the most time to grow.

Practice exercise

  1. Using the Rule of 72, how many years does an investment earning 8% take to double?
  2. A CD pays 5% and inflation is 3%. What's the approximate and exact real return?
  3. Use FV to find how much you'd have investing $200 a month for 25 years at 6% a year. How much of it is growth?
See solution
  1. 72 ÷ 8 = 9 years.
  2. Approximate: 5% − 3% = 2%. Exact: 1.05 ÷ 1.03 − 1 ≈ 1.94%.
  3. =FV((1+6%)^(1/12)-1, 300, -200, 0) ≈ $135,258. You contributed $200 × 300 = $60,000, so about $75,258 is growth: more than half the final balance.

Summary

  • Inflation erodes the buying power of money that isn't invested: at 3%, $100 buys about $74 worth after 10 years.
  • Judge returns in real terms: (1 + nominal) ÷ (1 + inflation) − 1.
  • Compound interest makes time your biggest ally; ten early years can beat thirty later ones.
  • Rule of 72: 72 ÷ rate ≈ years to double, for investments and for debt.
  • Grab the full employer match and kill high-APR debt: both are guaranteed returns.

Next lesson: How to Start Investing: Accounts, Investment Types and Your First Steps. You'll learn the difference between a 401(k), an IRA, an HSA and a brokerage account, and which investments fit which goals.

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