EBK STATISTICS FOR BUSINESS AND ECONOMI
EBK STATISTICS FOR BUSINESS AND ECONOMI
8th Edition
ISBN: 8220101458865
Author: Thorne
Publisher: PEARSON
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Chapter 1, Problem 63E

(a)

To determine

Illustrate the data with a cross table.

(b)

To determine

Describe the data graphically.

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Consider a call option on a stock that does not pay dividends. The stock price is $100 per share, and the risk-free interest rate is 10%. The call strike is $100 (at the money). The stock moves randomly with u=2 and d=0.5. 1. Write the system of equations to replicate the option using A shares and B bonds. 2. Solve the system of equations and determine the number of shares and the number of bonds needed to replicate the option. Show your answer with 4 decimal places (x.xxxx); do not round intermediate calculations. This is easy to do in Excel. A = B = 3. Use A shares and B bonds from the prior question to calculate the premium on the option. Again, do not round intermediate calculations and show your answer with 4 decimal places. Call premium =
Answer these questions using replication or the risk neutral probability. Both methods will produce the same answer. Show your work to receive credit. 6. What is the premium of a call with a higher strike. Show your work to receive credit; do not round intermediate calculations. S0 = $100, u=2, d=0.5, r=10%, strike=$150
Answer these questions using replication or the risk neutral probability. Both methods will produce the same answer.
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