a. What is the value of the annual incentive fee according to the Black-Scholes formula? (Treat the risk-free rate as a continuously compounded value to maintain consistency with the Black-Scholes formula.) (Do not round intermediate calculations. Round your answer to 3 decimal places.) Annual incentive fee Annual incentive fee per share b. What would the annual incentive fee be worth if the fund had no high water mark and it earned its incentive fee on its total return? (Do not round intermediate calculations. Round your answer to 3 decimal places.) Annual incentive fee per share D c. What would the annual incentive fee be worth if the fund had no high water mark and it earned its incentive fee on its return in excess of the risk-free rate? (Do not round intermediate calculations. Round your answer to 3 decimal places.) per share

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A hedge fund with net asset value of $68 per share currently has a high water mark of $74. Suppose it is January 1, the standard
deviation of the fund's annual returns is 38%, and the risk-free rate is 6%. The fund has an incentive fee of 10%.
a. What is the value of the annual incentive fee according to the Black-Scholes formula? (Treat the risk-free rate as a continuously
compounded value to maintain consistency with the Black-Scholes formula.) (Do not round intermediate calculations. Round your
answer to 3 decimal places.)
Annual incentive fee
Annual incentive fee
b. What would the annual incentive fee be worth if the fund had no high water mark and it earned its incentive fee on its total return?
(Do not round intermediate calculations. Round your answer to 3 decimal places.)
per share
Annual incentive fee
per share.
c. What would the annual incentive fee be worth if the fund had no high water mark and it earned its incentive fee on its return in
excess of the risk-free rate? (Do not round intermediate calculations. Round your answer to 3 decimal places.)
Annual incentive fee
4
per share
d. Recalculate the incentive fee value for part (b) assuming that an increase in fund leverage increases volatility to 48%. (Do not round
intermediate calculations. Round your answer to 3 decimal places.)
per share
4
Transcribed Image Text:A hedge fund with net asset value of $68 per share currently has a high water mark of $74. Suppose it is January 1, the standard deviation of the fund's annual returns is 38%, and the risk-free rate is 6%. The fund has an incentive fee of 10%. a. What is the value of the annual incentive fee according to the Black-Scholes formula? (Treat the risk-free rate as a continuously compounded value to maintain consistency with the Black-Scholes formula.) (Do not round intermediate calculations. Round your answer to 3 decimal places.) Annual incentive fee Annual incentive fee b. What would the annual incentive fee be worth if the fund had no high water mark and it earned its incentive fee on its total return? (Do not round intermediate calculations. Round your answer to 3 decimal places.) per share Annual incentive fee per share. c. What would the annual incentive fee be worth if the fund had no high water mark and it earned its incentive fee on its return in excess of the risk-free rate? (Do not round intermediate calculations. Round your answer to 3 decimal places.) Annual incentive fee 4 per share d. Recalculate the incentive fee value for part (b) assuming that an increase in fund leverage increases volatility to 48%. (Do not round intermediate calculations. Round your answer to 3 decimal places.) per share 4
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