Complete Question
1. One year ago, an investor bought 200 shares of a mutual fund at $8.50 per share. Over the past year, the fund has paid dividends of $.90 per share and had a capital gains distribution of $.75 per share.
a. Find the investor's holding period return, given that this no-load fund now has a net asset value of $9.10.
b. Find the holding period return, assuming all the dividends and capital gains distributions are reinvested into additional shares of the fund at an average price of $8.75 per share.
Answer:
a. Holding period returns = 26.47%
b. Holding period returns = 27.41%
Explanation:
a) Data and Calculations:
Number of shares bought = 200
Price per share of the mutual fund = $8.50
Dividends per share = $0.90
Capital gains distribution per share = $0.75
Total initial investment cost = $1,700 (200 * $8.50)
Total dividends = $180 (200 * $0.90)
Total capital gains distribution = $150 (200 * $0.75)
Net asset value = $9.10 per share
Total net asset value = $1,820 (200 * $9.10)
Holding period returns:
Dividends $180
Capital gains $150
Price change $120
Total returns = $450
Holding period returns = $450/$1,700 * 100 = 26.47%
Reinvestment of dividends and capital gains distribution:
Initial investment cost = $1,700
Reinvestment cost = 330
Total investment costs = $2,030
Number of additional shares = $330/$8.75 = 38 shares
Total returns = $466 (238 * $9.10) - (200 * $8.50)
Holding period returns in percentage = $466/$1,700 * 100 = 27.41%
