Pearson eText Macroeconomics -- Access Card
7th Edition
ISBN: 9780136850014
Author: Hubbard, Glenn, O'Brien, Anthony
Publisher: PEARSON
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Chapter 9, Problem
To determine
Identifying the type of
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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.
Chapter 9 Solutions
Pearson eText Macroeconomics -- Access Card
Ch. 9 - Prob. 9.1.1RQCh. 9 - Prob. 9.1.2RQCh. 9 - Prob. 9.1.3RQCh. 9 - Prob. 9.1.4RQCh. 9 - Prob. 9.1.5RQCh. 9 - Prob. 9.1.6RQCh. 9 - Prob. 9.1.7PACh. 9 - Prob. 9.1.8PACh. 9 - Prob. 9.1.9PACh. 9 - Prob. 9.1.10PA
Ch. 9 - Prob. 9.1.11PACh. 9 - Prob. 9.1.12PACh. 9 - Prob. 9.1.13PACh. 9 - Prob. 9.1.14PACh. 9 - Prob. 9.2.1RQCh. 9 - Prob. 9.2.2RQCh. 9 - Prob. 9.2.3RQCh. 9 - Prob. 9.2.4PACh. 9 - Prob. 9.2.5PACh. 9 - Prob. 9.2.6PACh. 9 - Prob. 9.2.7PACh. 9 - Prob. 9.2.8PACh. 9 - Prob. 9.3.1RQCh. 9 - Prob. 9.3.2RQCh. 9 - Prob. 9.3.3RQCh. 9 - Prob. 9.3.4PACh. 9 - Prob. 9.3.5PACh. 9 - Prob. 9.3.6PACh. 9 - Prob. 9.3.7PACh. 9 - Prob. 9.3.8PACh. 9 - Prob. 9.4.1RQCh. 9 - Prob. 9.4.3RQCh. 9 - Prob. 9.4.4PACh. 9 - Prob. 9.4.5PACh. 9 - Prob. 9.4.6PACh. 9 - Prob. 9.4.7PACh. 9 - Prob. 9.4.9PACh. 9 - Prob. 9.4.10PACh. 9 - Prob. 9.5.1RQCh. 9 - Prob. 9.5.2RQCh. 9 - Prob. 9.5.3PACh. 9 - Prob. 9.5.4PACh. 9 - Prob. 9.5.5PACh. 9 - Prob. 9.5.6PACh. 9 - Prob. 9.5.7PACh. 9 - Prob. 9.5.8PACh. 9 - Prob. 9.6.1RQCh. 9 - Prob. 9.6.2RQCh. 9 - Prob. 9.6.3RQCh. 9 - Prob. 9.6.4RQCh. 9 - Prob. 9.6.5PACh. 9 - Prob. 9.6.6PACh. 9 - Prob. 9.6.7PACh. 9 - Prob. 9.6.8PACh. 9 - Prob. 9.6.9PACh. 9 - Prob. 9.7.1RQCh. 9 - Prob. 9.7.3RQCh. 9 - Prob. 9.7.5RQCh. 9 - Prob. 9.7.6PACh. 9 - Prob. 9.7.8PACh. 9 - Prob. 9.7.9PACh. 9 - Prob. 9.1RDECh. 9 - Prob. 9.5RDECh. 9 - Prob. 9.7RDECh. 9 - Prob. 9.10RDECh. 9 - Prob. 9.11RDECh. 9 - Prob. 9.1CTECh. 9 - Prob. 9.2CTE
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