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Consider a mutual fund with $219 million in assets at the start of the year and with 12 million shares outstanding. The fund invests in a portfolio of stocks that provides dividend income at the end of the year of $6 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 0.50%, which are deducted from portfolio assets at year-end. a. What is the net asset value at the start and end of the year

Sagot :

Tundexi

Answer:

Missing word "What is the Rate of return"

a. Asset at the end of the year = (Asset at the start of the year + Increase in value) * 12b-1 charges

Asset at the end of the year = ($219 million+ ($219 million * 7%)) * (1-0.50%)

Asset at the end of the year = ($219 million + $15.33 million) * 0.9950

Asset at the end of the year = $234.33 million * 0.9950

Asset at the end of the year = $233.16 million

Net asset value at the end of the year = Asset at the end of the year / Number of shares

Net asset value at the end of the year = $233.15835 million / 12 million

Net asset value at the end of the year = $19.430

b. Rate of return = (Net asset value at the end of the year + dividend per share - Net asset value at the start of the year) / Net asset value at the start of the year

Rate of return = ($19.430 + ($6 / 12) - $18.250) / $18.250

Rate of return = ($19.430 + $0.50 - $18.250) / $18.250

Rate of return = $1.68 / $18.250

Rate of return = 9.20%

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