ENGINEERING ECONOMY DIGITAL ACCESS
8th Edition
ISBN: 2810022611683
Author: Blank
Publisher: MCG
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Chapter 2, Problem 17P
To determine
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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 2 Solutions
ENGINEERING ECONOMY DIGITAL ACCESS
Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - How much money should a bank be willing to loan a...Ch. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Prob. 9PCh. 2 - How much could BTU Oil & Gas Fracking afford to...
Ch. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Labco Scientific sells high-purity chemicals to...Ch. 2 - Labco Scientific sells high-purity chemicals to...Ch. 2 - Prob. 15PCh. 2 - Prob. 16PCh. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - NMTeX Oil owns several gas wells in Carlsbad, NM....Ch. 2 - Prob. 32PCh. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - Prob. 39PCh. 2 - Prob. 40PCh. 2 - Prob. 41PCh. 2 - Prob. 42PCh. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - Prob. 46PCh. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - Prob. 50PCh. 2 - Prob. 51PCh. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - Prob. 54PCh. 2 - Prob. 55PCh. 2 - Prob. 56PCh. 2 - Prob. 57PCh. 2 - Prob. 58PCh. 2 - Prob. 59PCh. 2 - Prob. 60PCh. 2 - Prob. 61ESCh. 2 - Prob. 62ESCh. 2 - Prob. 63ESCh. 2 - Prob. 64ESCh. 2 - Prob. 65ESCh. 2 - Prob. 66APQCh. 2 - Prob. 67APQCh. 2 - Prob. 68APQCh. 2 - Prob. 69APQCh. 2 - Prob. 70APQCh. 2 - Prob. 71APQCh. 2 - Prob. 72APQCh. 2 - Prob. 73APQCh. 2 - Prob. 74APQCh. 2 - Prob. 75APQCh. 2 - Prob. 76APQCh. 2 - Prob. 77APQCh. 2 - Prob. 78APQCh. 2 - Prob. 79APQCh. 2 - Prob. 80APQCh. 2 - Prob. 1CSCh. 2 - Prob. 2CSCh. 2 - Prob. 3CSCh. 2 - Prob. 4CSCh. 2 - Prob. 5CS
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