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NISM Certifications · NISM-Series-V-A: Mutual Fund Distributors · Investment Landscape

An investor's portfolio returned 12% in a year when inflation was 5%. Using the exact (Fisher) relationship, what is the real return, to the nearest 0.01%?

The real return is 6.67%. Dividing the growth factor 1.12 by the inflation factor 1.05 gives 1.0667, so purchasing power grew 6.67%. Simply subtracting 5% from 12% gives 7%, which is only an approximation.

  1. A6.67%Correct
  2. B7.00%
  3. C6.50%
  4. D17.60%

Explanation

Real return = (1.12/1.05) − 1 = 1.066667 − 1 = 6.67%. Simple subtraction gives 7%, which ignores the compounding of inflation on the return. 17.60% wrongly multiplies the two rates.

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