MACROECONOMICS FOR TODAY
10th Edition
ISBN: 9781337613057
Author: Tucker
Publisher: CENGAGE L
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Chapter 14.1, Problem 2GE
To determine
Stone rounds and other desirable properties of money.
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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 14 Solutions
MACROECONOMICS FOR TODAY
Ch. 14.1 - Prob. 1GECh. 14.1 - Prob. 2GECh. 14.4 - Prob. 1YTECh. 14.5 - Prob. 1YTECh. 14 - Prob. 1SQPCh. 14 - Prob. 2SQPCh. 14 - Prob. 3SQPCh. 14 - Prob. 4SQPCh. 14 - Prob. 5SQPCh. 14 - Prob. 6SQP
Ch. 14 - Prob. 7SQPCh. 14 - Prob. 8SQPCh. 14 - Prob. 9SQPCh. 14 - Prob. 10SQPCh. 14 - Prob. 1SQCh. 14 - Prob. 2SQCh. 14 - Prob. 3SQCh. 14 - Prob. 4SQCh. 14 - Prob. 5SQCh. 14 - Prob. 6SQCh. 14 - Prob. 7SQCh. 14 - Prob. 8SQCh. 14 - Prob. 9SQCh. 14 - Prob. 10SQCh. 14 - Prob. 11SQCh. 14 - Prob. 12SQCh. 14 - Prob. 13SQCh. 14 - Prob. 14SQCh. 14 - Prob. 15SQCh. 14 - Prob. 16SQCh. 14 - Prob. 17SQCh. 14 - Prob. 18SQCh. 14 - Prob. 19SQCh. 14 - Prob. 20SQ
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