Question

You purchased 1,000 shares of the New Fund at a price of $20 per share at the beginning of the year. You paid a front-end load of 4%. The securities in which the fund invests increase in value by 12% during the year. The fund's expense ratio is 1.2%. What is your rate of return on the fund if you sell your shares at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Answer 1

Answer:

6.37%

Explanation:

Rate of return

= (Aggregate investment value after one year - Investment value) / investment value   ----- equation 1

Cost of shares =number of shares* price per share

             = 1000* $20 =$20,000

Total amount invested = Purchasing cost /(1- front-end load)

               = $20,000 / (1-0.04)

                =$20,000 / 0.96 = $20,833.333

Investment value after one year

           = Total Investment*( 1+ price increase-expense ratio)

         = $20,000( 1 +0.12 -0.012)

          = $20,000(1.12-0.012) = $20,000 * 1.108 = $22,160

From equation 1 above

Rate of return = ($22,160 - $ 20,833.333) / $20,833.333

        $ 1,326.667 / $ 20,833.333

= 0.06368001701

  = 0.0637

Since rates of return are expressed as %, we multiply the result by 100 to get

  0.0637*100 =6.37%

My rate of return on the fund will be 6.37% if I sell the shares at the end of the year.