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

Ramesh invested Rs 80,000 in an asset and its value rose to Rs 96,800 at the end of 2 years, with no interim income. What is the approximate compound annual growth rate (CAGR)?

The CAGR is 10 per cent. The investment grew by a factor of 1.21 over two years, and the square root of 1.21 is 1.10. Compounding Rs 80,000 at 10 per cent for two years gives Rs 96,800, confirming the figure; 21 per cent is only the absolute return.

  1. A10.0%Correct
  2. B20.0%
  3. C21.0%
  4. D9.5%

Explanation

Growth multiple = 96,800/80,000 = 1.21. CAGR = (1.21)^(1/2) - 1 = 1.10 - 1 = 10%. The 21% option is the absolute return over two years, and 20% is a wrong simple-average-style approach. Checking: 80,000 x 1.1 x 1.1 = 96,800.

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