Compound Interest Calculation

00:00 5 marks

  • Exam Style - Paper 1
  • SL
  • Tier 2
  • Exponential growth
  • Financial mathematics
  • Compound Interest

An investor places $1000 in a savings account with an annual interest rate of 5%, compounded annually, for 10 years. Answer the following:

Part a

3 minutes 2 marks

Question

Write down the compound interest formula.



Hint Hint

Hint

Remember that compound interest involves an exponent applied to the growth factor.

  • Answer Answer

Complete Answer

The compound interest formula is \(A = P(1 + r)^t\).

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  • Answer Explanation Answer Explanation

Part b

5 minutes 3 marks

Question

Calculate the final amount for an investment of $1000 at an annual interest rate of 5%, compounded annually, for 10 years.



Hint Hint

Hint

Substitute the given values into \(A = P(1 + r)^t\).

  • Answer Answer

Complete Answer

\(A \approx 1628.89\) dollars

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