Question

Five years​ ago, you invested in the Future Investco Mutual Fund by purchasing shares of the fund at the price of per share. Because you did not need the​ income, you elected to reinvest all dividends and capital gains distributions. ​ Today, you sell your shares in this fund for ​$ per share. If there were a ​% load on this​ fund, what would your rate of return​ be?

Answer 1

Answer:

7.12%

Explanation:

Full question "Three years? ago, you invested in the Future Investco Mutual Fund by purchasing 1,000 shares of the fund at the price of $ 19.51 per share. Because you did not need the? income, you elected to reinvest all dividends and capital gains distributions. ? Today, you sell your 1,100 shares in this fund for ?$22.02 per share. If there were a 1?% load on this? fund, what would your rate of return? be? The compounded rate of return on this investment over the? three-year period is?"

Value of investment three year ago = 1,000 * $19.51 = $19,510

Value of investment today = 1,100 * $22.02 = $24,222

Load = 1%. Net Proceed from sale of investment = $24,222 * (1 - 1%) = $23,979.78

Rate of return in three year = ($23,979.78 - $19,510) / $19,510

Rate of return in three year = $4,469.79 / $19,510

Rate of return in three year = 0.229103

Rate of return in three year = 22.91%

Annual Return = [(1 + 22.91%)^(1 / 3)] - 1

Annual Return = 1.0712 - 1

Annual Return = 0.712 - 1

Annual Return = 7.12%