Consider a no-load mutual fund with $580 million in assets and 20 million shares at the start of the year and with $630 million in assets and 21 million shares at the end of the year. During the year investors have received income distributions of $6 per share and capital gain distributions of $0.50 per share. Assuming that the fund carries no debt, and that the total expense ratio is 2%, what is the rate of return on the fund

Question

Dario Mendez

Business

27 July, 00:48

Consider a no-load mutual fund with $580 million in assets and 20 million shares at the start of the year and with $630 million in assets and 21 million shares at the end of the year. During the year investors have received income distributions of $6 per share and capital gain distributions of $0.50 per share. Assuming that the fund carries no debt, and that the total expense ratio is 2%, what is the rate of return on the fund

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Answers (1)

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Sam Johnston · Answer 1

Answer: 25.86%

Explanation:

Solving this question requires that we use all gains made and divide it by the original Nat Asset Value.

Here goes,

Opening NAV

NAV = Total Assets / No. Of shares

NAV = 580/20

Opening NAV = $29

Closing NAV

NAV = Total Assets / No. Of shares

NAV = 630/21

Closing NAV = $30

Rate of Return.

Calculating the rate of return will be as follows,

= (Closing NAV - Opening NAV + Capital gains distributions + income distributions) / Opening NAV

= (30 - 29 + 6 + 0.5) / 29

= 0.25862068965

= 25.86%

The rate of return on the fund is 25.86%