Mr. Kar has invested in three mutual fund schemes as per details below: MFX MFY MFZ Amount of investment (₹) 5,50,000 4,20,000 1,00,000 Dividend…
CA Final · Advanced Financial Management · PYQS · May 2024
Mr. Kar has invested in three mutual fund schemes as per details below: MFX MFY MFZ Amount of investment (₹) 5,50,000 4,20,000 1,00,000 Dividend received up to 31.03.2023 (₹) 10,000 6,000 Nil NAV as on 31.03.2023 (₹) 11.50 11.00 9.50 Effective yield p.a. as on 31.03.2023 19.345% 22.59% -36.50% Holding period 120 days 100 days 50 days You are required to calculate Net Asset Value (NAV) at the time of purchase assuming 365 days in a year.
Suggested Answer and Working Notes:
MFX MFY MFZ A. Amt. of Investment 550,000 420,000 1,00,000 B. Effective Yield p.a. 19.345% 22.59% -36.50% C. Period of Holding 120 Days 100 Days 50 days D. Return for Holding Period 34,980 25,993.97 -5000 E. Dividend Received 10,000 6,000 F. Total Gain in NAV(D - E) 24,980 19993.97 -5,000 G. Total NAV at End of Holding Period (A + F) 5,74,980 4,39,993.97 95,000 H. NAV (p.u.) as on 31.3.23 11.50 11.00 9.50 I. No. of Units (G/H) 49,998.26 39,999.45 10,000 J. NAV (p.u.) at the time of Purchase (A/I) 11.00 10.50 10.00 Alternative Solution MFX (11.50-X) × (550000 / X) + 10000 = 0.19345 × (120 / 365) × 550000 Or 6325000 / X = 550000 + 10000 = 0.0636 x 550000 Or 6325000 / X = 574980 Or X = 6325000 / 574980 = 11.00 MFY (11.00-Y) × (420000 / Y) + 6000 = 0.2259 × (100 / 365) × 420000 Or 4620000 / Y = 420000 + 6000 = 0.062 x 420000 Or 4620000 / Y = 440040 Or Y = 4620000 / 440040 = 10.50 MFZ (9.50-Z) x (100000 / Z) = -0.3650 x (50 / 365) x 100000 Or 950000 / Z = -0.05 x 100000 Or 950000 / Z = 95000 Or Z = 950000 / 95000 = 10.00
Topics: Mutual Fund
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