EBK MACROECONOMICS
6th Edition
ISBN: 8220103116688
Author: O'Brien
Publisher: PEARSON
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Chapter 19, Problem 19.2.15PA
To determine
Impact of change in the value of euro on the Danish’s central bank action.
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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 19 Solutions
EBK MACROECONOMICS
Ch. 19.A - Prob. 1RQCh. 19.A - Prob. 2RQCh. 19.A - Prob. 3RQCh. 19.A - Prob. 4RQCh. 19.A - Prob. 5RQCh. 19.A - Prob. 6RQCh. 19.A - Prob. 7PACh. 19.A - Prob. 8PACh. 19.A - Prob. 9PACh. 19.A - Prob. 10PA
Ch. 19.A - Prob. 11PACh. 19.A - Prob. 12PACh. 19.A - Prob. 13PACh. 19.A - Prob. 14PACh. 19.A - Prob. 15PACh. 19.A - Prob. 1RDECh. 19 - Prob. 19.1.1RQCh. 19 - Prob. 19.1.2RQCh. 19 - Prob. 19.1.3PACh. 19 - Prob. 19.1.4PACh. 19 - Prob. 19.1.5PACh. 19 - Prob. 19.1.6PACh. 19 - Prob. 19.2.1RQCh. 19 - Prob. 19.2.2RQCh. 19 - Prob. 19.2.3RQCh. 19 - Prob. 19.2.4RQCh. 19 - Prob. 19.2.5PACh. 19 - Prob. 19.2.6PACh. 19 - Prob. 19.2.7PACh. 19 - Prob. 19.2.8PACh. 19 - Prob. 19.2.9PACh. 19 - Prob. 19.2.10PACh. 19 - Prob. 19.2.11PACh. 19 - Prob. 19.2.12PACh. 19 - Prob. 19.2.13PACh. 19 - Prob. 19.2.14PACh. 19 - Prob. 19.2.15PACh. 19 - Prob. 19.2.16PACh. 19 - Prob. 19.2.17PACh. 19 - Prob. 19.2.18PACh. 19 - Prob. 19.2.19PACh. 19 - Prob. 19.2.20PACh. 19 - Prob. 19.3.1RQCh. 19 - Prob. 19.3.2RQCh. 19 - Prob. 19.3.3PACh. 19 - Prob. 19.3.4PACh. 19 - Prob. 19.3.5PACh. 19 - Prob. 19.1RDECh. 19 - Prob. 19.2RDECh. 19 - Prob. 19.3RDE
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