Question

Consider a mutual fund with $203 million in assets at the start of the year and with 10 million shares outstanding. The fund invests in a portfolio of stocks that provides dividend income at the end of the year of $5 million. The stocks included in the fund's portfolio increase in price by 7%, but no securities are sold, and there are no capital gains distributions. The fund charges 12b-1 fees of 0.75%, which are deducted from portfolio assets at year-end. What is the rate of return for an investor in the fund?

Answer 1

8.66%

Step-by-step explanation:

The computation of the rate of return for the investor in the fund is as follows:

= (Net assets at the end + dividend per share - nav at the beginning of the year) ÷ (nav at the beginning of the year)

where,

Net assets at the end is

= $203 million + $203 million × 7% - ($217.21 million × 0.75%)

= $203 million + $14.21 million - $1.6291 million

= $217.21 million - $1.6291 million

= $215.58093 million

Dividend per share is

= $5 million ÷ 10 million shares

= 0.5

Nav at the beginning of the year is

= $203 million ÷ 10 million shares

= $20.3

Now the rate of return is

= ($215,.58093 + 0.5 - $20.3) ÷ ($20.3)

= 8.66%