Question: A hedge fund has a 2 & 20 fee structure: 2% of management fee plus 20% incentive fee on fund returns in excess of T-Bill
A hedge fund has a 2 & 20 fee structure: 2% of management fee plus 20% incentive fee on fund returns in excess of T-Bill rate. In a performance reporting period, the hedge fund yields 29% when the T-Bill rate is 3%. What are the fees to the hedge fund managers?
| A. | 7.0%. | |
| B. | 7.2%. | |
| C. | 7.4%. |
Amazon.com Inc. stock price is at $445 per share. A three-month call option on the stock with an exercise price of $470 is traded at $11.70. What's the time value of the option?
| A. | $0. | |
| B. | $11.70. | |
| C. | -$35.00. |
A European-style call option and a European-style put option share the same underlying stock, same time to maturity of three months, and same exercise price of $55. The put option is priced at $6.70. If the risk free rate is 5 percent per year and the stock price is $52. Compute the call option price.
| A. | $4.37. | |
| B. | $6.70. | |
| C. | $7.25. |
Stocks of the Binomial Inc. are currently $50 per share and it is known that its stock price will either increase by 15% per year or decrease by 25% per year, independently for the next two years. The prevailing risk-free rate is 3%. What is the value of an American put option on the stock with two years of life and an exercise price of $53.
| A. | $3.00. | |
| B. | $5.29. | |
| C. | $6.47. |
Stocks of the Binomial Inc. are currently $50 per share and it is known that its stock price will either increase by 15% per year or decrease by 25% per year, independently for the next two years. The prevailing risk-free rate is 3%. Value an American call option on the stock with two years of life and an exercise price of $53.
| A. | $3.00. | |
| B. | $6.06. | |
| C. | $6.47. |
What is the following option strategy called: C(X=50) + C(X=30)?
| A. | It's a bear spread. | |
| B. | It's a bull spread. | |
| C. | It's a collar. |
What is the following option strategy called: C(X=50) + P(X=30)?
| A. | It's a bear spread. | |
| B. | It's a bull spread. | |
| C. | It's a collar. |
At a stock price of $58, a call option is priced at $14.20 with a delta of 0.77. When the stock price decreases to $56, what is the estimated call price?
| A. | $15.74. | |
| B. | $13.43. | |
| C. | $12.66. |
This question is based on the following information on the Black-Scholes (BS) model.
index level = 2107
exercise price = 2180
time to option maturity = 0.36 years
continuously compounded risk-free rate = 5%
estimated continuously-compounded dividend yield on the index = 4% per year
estimated index return standard deviation = 15%
Based on the above input, what is the European put price using the BS model?
| A. | $98.45. | |
| B. | $107.69. | |
| C. | $112.03. |
This question is based on the following information on the Black-Scholes (BS) model.
index level = 2107
exercise price = 2180
time to option maturity = 0.36 years
continuously compounded risk-free rate = 5%
estimated continuously-compounded dividend yield on the index = 4% per year
estimated index return standard deviation = 15%
What is the BS put hedge ratio?
| A. | -0.6141. | |
| B. | -0.3859. | |
| C. | 0.3859. |
This question is based on the following information on the Black-Scholes (BS) model.
index level = 2107
exercise price = 2180
time to option maturity = 0.36 years
continuously compounded risk-free rate = 5%
estimated continuously-compounded dividend yield on the index = 4% per year
estimated index return standard deviation = 15%
What is the risk neutral probability that this put option finishes in-the-money?
| A. | 0.3520. | |
| B. | 0.3859. | |
| C. | 0.6480. |
This question is based on the following information on the Black-Scholes (BS) model.
index level = 2107
exercise price = 2180
time to option maturity = 0.36 years
continuously compounded risk-free rate = 5%
estimated continuously-compounded dividend yield on the index = 4% per year
estimated index return standard deviation = 15%
If the market put price is $2 higher than the BS price, assume that volatility is estimated correctly, what can we conclude about the estimated dividend yield?
| A. | It's too high. | |
| B. | It's too low. | |
| C. | It's correctly estimated. |
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