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NISM Certifications · NISM-Series-X-A: Investment Adviser (Level 1) · Portfolio Construction Process

Meera Iyer invests Rs 10,00,000 for 3 years in a portfolio. Returns are +20% in year 1, -10% in year 2 and +25% in year 3. What is the approximate annualised compound (geometric) return, to one decimal place?

The geometric return is about 10.5%, from a growth factor of 1.35 over three years. The 11.7% figure is only the arithmetic average and overstates compounded growth.

  1. A11.7%Correct
  2. B11.9%
  3. C11.3%
  4. D11.0%

Explanation

Growth factor = 1.20 x 0.90 x 1.25 = 1.35. Cube root of 1.35 is about 1.1052, so about 10.5%. Check: 1.105^3 = 1.349. The arithmetic mean is (20-10+25)/3 = 11.67%, i.e. 11.7%, which ignores compounding. Therefore the correct geometric return is 10.5%, which is not listed; the option matching the stated answer fails.

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