Consider a binomial world in which the current stock price of 80 can either go up by 10 percent or down by 8 percent. The risk-free rate is 4 percent. Assume a one-period world. Answer questions 12 through 15 about a call with an exercise price of 80.

Consider a binomial world in which the current stock price of 80 can either go up by 10 percent or down by 8 percent. The risk-free rate is 4 percent. Assume a one-period world. Answer questions 12 through 15 about a call with an exercise price of 80.


Question: What would be the call's price if the stock goes up?

a. 3.60
b. 8.00
c. 5.71
d. 4.39
e. none of the above


Answer: B

Question: What would be the call's price if the stock goes down?

a. 8.00
b. 3.60
c. 0.00
d. 9.00
e. none of the above


Answer: C

Question: What is the hedge ratio?

a. 0.429
b. 0.714
c. 0.571
d. 0.823
e. none of the above


Answer: E

Question: What is the theoretical value of the call?

a. 8.00
b. 4.39
c. 5.15
d. 5.36
e. none of the above


Answer: C


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