If Kate achieved an investment return of 5% per annum and inflation over the same year was 2%, what real rate of return did she achieve?

Prepare for the Qualified Financial Adviser (QFA) Pensions Exam 2. Test your knowledge with flashcards and multiple choice questions. Review detailed explanations for each question and get ready to succeed!

Multiple Choice

If Kate achieved an investment return of 5% per annum and inflation over the same year was 2%, what real rate of return did she achieve?

Explanation:
Real rate of return measures how much your purchasing power grows after inflation. If Kate earns 5% and inflation is 2%, her money’s buying power increases by about 3%. Using the precise formula (1 + 0.05) / (1 + 0.02) − 1 gives 1.05/1.02 − 1 ≈ 0.0294, i.e., about 2.94%, which rounds to 3%. So the real rate of return is roughly 3%. The other options don’t fit because they either understate or overstate the effect of inflation on the nominal gain.

Real rate of return measures how much your purchasing power grows after inflation. If Kate earns 5% and inflation is 2%, her money’s buying power increases by about 3%. Using the precise formula (1 + 0.05) / (1 + 0.02) − 1 gives 1.05/1.02 − 1 ≈ 0.0294, i.e., about 2.94%, which rounds to 3%. So the real rate of return is roughly 3%. The other options don’t fit because they either understate or overstate the effect of inflation on the nominal gain.

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