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2) Consider a 2-month European call whose exercise price is $101. The current stock price is $100 and its volatility is 20% p.a. The risk-free
2) Consider a 2-month European call whose exercise price is $101. The current stock price is $100 and its volatility is 20% p.a. The risk-free rate is 5% p.a. continuously compounding. (a) (3 points) What is the price of this call under the two-period binomial framework? Note that you can use the risk-free-portfolio construction method to value this option (i.e. by working backward through the tree), or use the short-cut risk- neutral valuation method. (b) (2 points) Identify the hedge ratios and the hedging strategy for a writer of the above call in order that he/she will earn the risk-free rate. 3) Suppose the stock in question (2) is expected to pay a dividend of $2 in one month's time. (a) (3 points) Using a two-period binomial tree, what is the value of a 2-month American call whose exercise price is $101? (b) (3 points) Using a two-period binomial tree, what is the value of a 2-month American put whose exercise price is $101? 2) Consider a 2-month European call whose exercise price is $101. The current stock price is $100 and its volatility is 20% p.a. The risk-free rate is 5% p.a. continuously compounding. (a) (3 points) What is the price of this call under the two-period binomial framework? Note that you can use the risk-free-portfolio construction method to value this option (i.e. by working backward through the tree), or use the short-cut risk- neutral valuation method. (b) (2 points) Identify the hedge ratios and the hedging strategy for a writer of the above call in order that he/she will earn the risk-free rate. 3) Suppose the stock in question (2) is expected to pay a dividend of $2 in one month's time. (a) (3 points) Using a two-period binomial tree, what is the value of a 2-month American call whose exercise price is $101? (b) (3 points) Using a two-period binomial tree, what is the value of a 2-month American put whose exercise price is $101
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