Pearson eText Macroeconomics -- Instant Access (Pearson+)
13th Edition
ISBN: 9780136879503
Author: Michael Parkin
Publisher: PEARSON+
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Chapter 14, Problem 3SPA
(a)
To determine
Explain the Fed’s control over the quantity of money in terms of the Federal Reserve Act of 2000.
(b)
To determine
Identify how the massive changes in monetary base resulting from QE and QT reconciled with the Federal Reserve Act of 2000.
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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
Pearson eText Macroeconomics -- Instant Access (Pearson+)
Ch. 14.1 - Prob. 1RQCh. 14.1 - Prob. 2RQCh. 14.1 - Prob. 3RQCh. 14.1 - Prob. 4RQCh. 14.2 - Prob. 1RQCh. 14.2 - Prob. 2RQCh. 14.2 - Prob. 3RQCh. 14.3 - Prob. 1RQCh. 14.3 - Prob. 2RQCh. 14.3 - Prob. 3RQ
Ch. 14.3 - Prob. 4RQCh. 14.4 - Prob. 1RQCh. 14.4 - Prob. 2RQCh. 14.4 - Prob. 3RQCh. 14.4 - Prob. 4RQCh. 14.4 - Prob. 5RQCh. 14 - Prob. 1SPACh. 14 - Prob. 2SPACh. 14 - Prob. 3SPACh. 14 - Prob. 4SPACh. 14 - Prob. 5SPACh. 14 - Prob. 6SPACh. 14 - Prob. 7SPACh. 14 - Prob. 8SPACh. 14 - Prob. 9SPACh. 14 - Prob. 10SPACh. 14 - Prob. 11SPACh. 14 - Prob. 12SPACh. 14 - Prob. 13SPACh. 14 - Prob. 14SPACh. 14 - Prob. 15SPACh. 14 - Prob. 16APACh. 14 - Prob. 17APACh. 14 - Prob. 18APACh. 14 - Prob. 19APACh. 14 - Prob. 20APACh. 14 - Prob. 21APACh. 14 - Prob. 22APACh. 14 - Prob. 23APACh. 14 - Prob. 24APACh. 14 - Prob. 25APACh. 14 - Prob. 26APACh. 14 - Prob. 27APACh. 14 - Prob. 28APACh. 14 - Prob. 29APACh. 14 - Prob. 30APACh. 14 - Prob. 31APACh. 14 - Prob. 32APACh. 14 - Prob. 33APACh. 14 - Prob. 34APACh. 14 - Prob. 35APACh. 14 - Prob. 36APACh. 14 - Prob. 37APACh. 14 - Prob. 38APACh. 14 - Prob. 39APACh. 14 - Prob. 40APACh. 14 - Prob. 41APA
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