Question

Consider a mutual fund with $300 million in assets at the start of the year and 10 million shares outstanding. The fund invests in a portfolio of stocks that provides dividend income at the end of the year of $1.5 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 .75%, which are deducted from portfolio assets at year-end. a. What is the fund's net asset value at the start and end of the year?

Answer 1

Answer: Start = $300 million

End = $318.59 million

Explanation:

NAV can be calculated by dividing the funds Assets net of Liabilities by the total number of outstanding shares.

At start of the year NAV is $300 million and NAV per share is therefore,

= 300 million/ 10 million

= $30 per share.

Ending NAV

During the year the fund made Investments and increased by a price of 7%

= 300 million (1 + 0.07)

= $321 million

We still have to subtract the 12b-1 fees that the fund charges though and that would result in,

= 321 million * (1 - 0.0075)

= 318.5925

= $318.59 million.

Dividing this by the total number of outstanding shares we have,

= 318.59 /10

= $31.86

$31.86 is the NAV per share at year end.