Compound Interest – Alpha Lemma ← Go Back

Compound Interest: The Power Behind Wealth Accumulation

Compound interest stands as one of the most pivotal concepts in finance—a foundation for understanding savings, investment growth, and the multiplication of wealth over time. Its impact distinguishes sophisticated financial planning from basic arithmetic returns and is often cited as a critical antidote to financial illiteracy.

“Compound interest is the eighth wonder of the world. He who understands it, earns it … he who doesn’t, pays it.”
— Albert Einstein

What Is Compound Interest?

Compound interest is interest calculated on the initial principal and also on the accumulated interest from previous periods. This creates a snowball effect: your money doesn’t just grow; it accelerates in growth with each compounding period.

A = P × (1 + r/n)nt

Where:

  • A: Total amount after t years
  • P: Principal (original amount)
  • r: Annual nominal interest rate (decimal)
  • n: Number of compounding periods per year
  • t: Number of years

Example

If you invest CHF 10’000 at a 5% annual interest rate, compounded quarterly (n = 4), for 10 years:

A = 10’000 × (1 + 0.05 / 4)40 ≈ CHF 16’470

Compare this with simple interest (only on principal):

A = 10’000 × (1 + 0.05 × 10) = CHF 15’000

Why is Compound Interest so Important in Finance?

  • Accelerated Wealth Growth: The longer your money is invested, the more dramatic the compounding effect.
  • Critical for Retirement Planning: Most retirement saving models rely on compounding.
  • Debt Amplifier: In borrowing, compound interest can quickly magnify liabilities.
  • Time Value of Money: Compound interest demonstrates that money today is worth more than money tomorrow.

Key Concepts and Strategies

  • Compounding Frequency: More frequent compounding increases returns.
  • Rule of 72: Approximate years to double money:
    Years ≈ 72 / Interest Rate (%)
  • Start Early: Time is the most powerful variable in compounding.

Key Takeaway

Understanding compound interest is essential for building wealth and avoiding costly financial mistakes. Harness it early, consistently, and wisely to make your money work harder for you.

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Alpha Lemma is a private, non-commercial project. All content is for informational purposes only and does not constitute investment advice.

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