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Compound Interest Explorer

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Compound Interest Explorer

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About this activity

Master compound interest concepts and real-life applications.

Created by

Sock Kiang Ang
Sock Kiang Ang
Singapore

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Compound Interest Explorer
 

Compound Interest ExplorerOnline version

Master compound interest concepts and real-life applications.

by Sock Kiang Ang
1

Introduction to Compound Interest

Compound interest is the growth of an investment where interest earns interest over time. It accelerates wealth growth compared to simple interest.

2

The Basic Formula

A = P(1 + r/n)^(nt). A is the amount, P principal, r annual rate, n number of compounding periods per year, t time in years.

3

Setting Up a Problem

Example setup: invest $1,000 (P) at 5% annual interest, compounded quarterly for 3 years (n=4, t=3).

4

A Quick Calculation

Plug in values: A = 1000(1.0125)^12 ≈ 1,161.62. The investment grows to about $1,161.62.

5

Why More Frequent Compounding Helps

Interest compounds more often, so the amount grows faster over time even if the rate stays the same.

6

Real-Life Scenarios

Applications include savings accounts, education funds, loans with compound interest, and annual investments that compound over time.

7

The Rule of 72

Approximate doubling time: 72 divided by the interest rate (percent). At 6%, about 12 years to double.

8

Monthly vs Annual Compounding

Monthly compounding at the same nominal rate yields more growth than annual compounding due to more frequent interest additions.

9

Important Considerations

Assume constant rate, predictable contributions, and ignore taxes and fees. Real-life outcomes depend on many factors beyond the formula.

10

Practice Challenge

Compare outcomes for different compounding frequencies and rates to decide the best savings plan for a goal.
 
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