If inflation is 1.5% per year for the next four years, what must an investment of €25,000 grow to in order to keep pace with inflation?

Prepare for the QFA Pensions Exam 1. Use flashcards and multiple choice questions with detailed explanations. Secure your success with our comprehensive study tools!

Multiple Choice

If inflation is 1.5% per year for the next four years, what must an investment of €25,000 grow to in order to keep pace with inflation?

Explanation:
To keep pace with inflation, your investment must grow by the same rate each year, so the future value is the present value multiplied by (1 + inflation rate) raised to the power of the number of years. With 1.5% annual inflation over four years, the factor is (1.015)^4. Calculating: €25,000 × (1.015)^4 ≈ €26,534. So you’d need about €26,534 to match four years of 1.5% inflation. Among the options, €26,525 is the closest approximation to that target, making it the best choice.

To keep pace with inflation, your investment must grow by the same rate each year, so the future value is the present value multiplied by (1 + inflation rate) raised to the power of the number of years. With 1.5% annual inflation over four years, the factor is (1.015)^4.

Calculating: €25,000 × (1.015)^4 ≈ €26,534. So you’d need about €26,534 to match four years of 1.5% inflation. Among the options, €26,525 is the closest approximation to that target, making it the best choice.

Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy