Question

# A closed-end fund starts the year with a net asset value of \$29. By year-end, NAV...

A closed-end fund starts the year with a net asset value of \$29. By year-end, NAV equals \$30.80. At the beginning of the year, the fund is selling at a 4% premium to NAV. By the end of the year, the fund is selling at a 9% discount to NAV. The fund paid year-end distributions of income and capital gains of \$3.20. a. What is the rate of return to an investor in the fund during the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Rate of return % b. What would have been the rate of return to an investor who held the same securities as the fund manager during the year? (Round your answer to 2 decimal places.) Rate of return %

a)

P0 = NAV0 x (1 + Premium) = \$29.00 x 1.04 = \$30.16

P1 = NAV1 x (1 – Discount) = \$30.80 x 0.91 = \$28.03

The NAV increased by \$1.80 but the price of the fund decreased by \$2.13

Return = (P1 + Distributions)/P0 – 1 = (\$28.03 + \$3.20)/\$30.16 – 1 = 3.55%

b)

An investor holding the same securities as the fund manager would have earned a rate of return of the NAV and not been subject to the change from premium to discount.

Return = (NAV 1 + Distributions)/NAV 0 – 1 = (\$30.80 + \$3.20)/\$29.00 – 1 = 17.24%

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