Question

Suppose an individual invests $10,000 in a load mutual fund for two years. The load fee entails an up-front commission charge of 3 percent of the amount invested and is deducted from the original funds invested. In addition, annual fund operating expenses (or 12b-1 fees) are 0.80 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 fund over the two-year investment period. (Do not round intermediate calculations. Round your answer to 3 decimal places. (e.g., 32.161))

Annual return=?

Answer 1

Amount invested after front end loan = (1 - 0.03)(10,000)

Amount invested after front end loan =$9,700

Value after 1 year = (1.08)(9,700) = $10,476

12b-1 fee in year 1 = 0.008(9700 + 10476)/2

12b-1 fee in year 1 = 80.70

Value after fee in year 1 = 10,476 - 80.70 = $10,395.30

Value at the end of year 2 = 1.08(10,395.30) = $11,226.92

12b-1 fee in year 2 = 0.008(10,395.30 + 11,226.92)/2 = $86.49

Value after fee in year 2 = $11,140.43

HPR = (11,140.43 - 10,000)/10,000

HPR = 11.40%

Annual Rate = (1.1140)^1/2 - 1

Annual Rate = 5.546%