Consider the recent performance of the closed ended fund. Period NAV (₹) Premium/ Discount % 0 20 0 1 22.5 -5 2 19.5 2.3 3 21 -3.2 4 22.3 4…
CA Final · Advanced Financial Management · PYQS · May 2026
Consider the recent performance of the closed ended fund. Period NAV (₹) Premium/ Discount % 0 20 0 1 22.5 -5 2 19.5 2.3 3 21 -3.2 4 22.3 4 Required: (i) Evaluate the average return per period (based on Geometric mean) for an investor who bought 1000 units* of the closed fund at the invitation and then sold her position at the end of the period 4. (ii) Geometric growth rate in NAV over the same period and interpret the results.
Suggested Answer and Working Notes:
(i) Market price after premium/ discount Period NAV (₹) P/D% Premium/ Discount Net (1 - rate) Market Price = NAV X Net 0 20 0 0 0 0.0000 1 22.5 -5 -0.05 0.95 21.3750 2 19.5 2.3 0.023 1.023 19.9485 3 21 -3.2 -0.032 0.968 20.3280 4 22.3 4 0.04 1.04 23.1920 Gain = Sales price 4th year – Investment,23,192 - 20,000 = 3,192 Total Return for holding period = (3192/20000) x 100 = 15.96% Average return per period = 15.96/4 = 3.99% Geometric return per period = (1 + 0.1596) 1/4 - 1 = 1.03771 - 1 = 0.037714 or 3.771% Or Geometric return per period = (23.1920/20) 1/4 - 1 = 1.03771 - 1 = 0.037713 i.e 3.771% (ii) GM growth of NAV Growth rate in NAV = (22.30 -20) / 20 X 100 = 11.50% GM growth in NAV = (1 + 0.115) 1/4 - 1 = 1.027587 – 1 = 0.027587 or 2.76% Or Geometric Growth in NAV = (22.30/20) 1/4 - 1 = 1.027587 – 1 = 0.027587 or 2.76% Growth rate in NAV is lower than return percent Investment return > NAV growth, the market price has increased more than the NAV.
Topics: Mutual Fund
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