Principles of Macroeconomics
6th Edition
ISBN: 9780073518992
Author: Robert H. Frank, Ben Bernanke Professor, Kate Antonovics, Ori Heffetz
Publisher: McGraw-Hill Education
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Question
Chapter 9, Problem 2P
(a)
To determine
Determine the consolidated
(b)
To determine
Determine the consolidated balance sheet after one round of loans.
(c)
To determine
Determine the consolidated balance sheet after the first redeposit of guilders.
(d)
To determine
Determine the consolidated balance sheet after two rounds of loans and redeposits of guilders.
(e)
To determine
Determine the final consolidated balance sheet of the commercial banks.
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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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