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Suppose an individual invests $28,000 in a load mutual fund for two years
Suppose an individual invests $28,000 in a load mutual fund for two years. The load fee entails an up-front commission charge of 3.2 percent of the amount invested and is deducted from the original funds invested. In addition, annual fund operating expenses (or 12b-1 fees) are 0.63 percent. The annual fees are charged on the average net asset value invested in the fund and are recorded at the end of each year. Investments in the fund return 8 percent each year paid on the last day of the year. If the investor reinvests the annual returns paid on the investment, calculate the annual return on the mutual funds over the two-year investment period. (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Annual return %
Expert Solution
Initial investment by individual = $28,000
Commission = 3.20%
Net amount invested by fund = Initial investment by individual * (1 – Commission)
= $28,000 * (1 -3.20%)
= $27,104
Funds after 1st year = Net amount invested by fund * (1+ fund return)
= $27,104 * (1+8%)
= $29,272.32
Charges = (Net amount invested by fund + Funds after 1st year) / 2* (12b-1 fees)
= ($27,104 + $29,272.32) / 2* (0.63%)
= 177.59 (approx)
Fund value after charges at the end of year 1 = Funds after 1st year - Charges
= $29,272.32 - $177.59
= $29,094.73
Funds after 2nd year = Fund value after charges at the end of year 1 * (1+ fund return)
= $29,094.73 * (1+8%)
= $31,422.31 (approx)
Charges = (Fund value after charges at the end of year 1+ Funds after 2nd year) / 2* (12b-1 fees)
= ($29,094.73+ $31,422.31)/ 2*(0.63%) = $190.63 (Approx)
Fund value after charges at the end of year 2 = Funds after 2nd year - Charges
= $31,422.31 - $190.63
= $31,251.68
Annual Return = (Fund value after charges at the end of year 2 / Initial investment by individual)0.50 - 1
= ($31,251.68 / $28,000)0.5 - 1
= 5.65% p.a. (Approx)
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