NISM Certifications · NISM-Series-V-A: Mutual Fund Distributors · Mutual Fund Scheme Performance
An investor put Rs 1,00,000 in a scheme and the value after exactly 2 years was Rs 1,44,000, with no interim payouts. What is the compounded annual growth rate (CAGR)?
The CAGR is 20%. The investment grew 1.44 times in two years, and the square root of 1.44 is 1.2, so the annual compounded growth is 20%. Simply halving the 44% total gain gives 22%, which ignores compounding and overstates the rate.
- A22%
- B20%Correct
- C44%
- D18%
Explanation
Growth multiple = 1.44, so CAGR = (1.44)^(1/2) - 1 = 1.2 - 1 = 20%. Check: 1.2 x 1.2 = 1.44. The 22% figure comes from dividing the 44% total gain by 2, which ignores compounding.
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