Statistics for Management and Economics
10th Edition
ISBN: 9781285425450
Author: Gerald Keller
Publisher: Cengage Learning
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Chapter 12.3, Problem 88E
a:
To determine
Population proportion of success.
b:
To determine
Conclusion.
c:
To determine
Satisfaction.
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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 12 Solutions
Statistics for Management and Economics
Ch. 12.1 - Prob. 3ECh. 12.1 - Prob. 4ECh. 12.1 - Prob. 5ECh. 12.1 - Prob. 6ECh. 12.1 - Prob. 7ECh. 12.1 - Prob. 8ECh. 12.1 - Prob. 9ECh. 12.1 - Prob. 10ECh. 12.1 - Prob. 11ECh. 12.1 - Prob. 12E
Ch. 12.1 - Prob. 13ECh. 12.1 - Prob. 14ECh. 12.1 - Prob. 15ECh. 12.1 - Prob. 16ECh. 12.1 - Prob. 17ECh. 12.1 - Prob. 18ECh. 12.1 - Prob. 19ECh. 12.1 - Prob. 20ECh. 12.1 - Prob. 21ECh. 12.1 - Prob. 22ECh. 12.1 - Prob. 23ECh. 12.1 - Prob. 24ECh. 12.1 - Prob. 25ECh. 12.1 - Prob. 26ECh. 12.1 - Prob. 27ECh. 12.1 - Prob. 28ECh. 12.1 - Prob. 29ECh. 12.1 - Prob. 30ECh. 12.1 - Prob. 31ECh. 12.1 - Prob. 32ECh. 12.1 - Prob. 33ECh. 12.1 - Prob. 34ECh. 12.1 - Prob. 35ECh. 12.1 - Prob. 36ECh. 12.1 - Prob. 37ECh. 12.1 - Prob. 38ECh. 12.1 - Prob. 39ECh. 12.1 - Prob. 40ECh. 12.1 - Prob. 41ECh. 12.1 - Prob. 42ECh. 12.1 - Prob. 43ECh. 12.1 - Prob. 44ECh. 12.1 - Prob. 45ECh. 12.1 - Prob. 46ECh. 12.1 - Prob. 47ECh. 12.1 - Prob. 48ECh. 12.1 - Prob. 49ECh. 12.1 - Prob. 50ECh. 12.1 - Prob. 51ECh. 12.1 - Prob. 52ECh. 12.1 - Prob. 53ECh. 12.1 - Prob. 54ECh. 12.1 - Prob. 55ECh. 12.1 - Prob. 56ECh. 12.1 - Prob. 57ECh. 12.1 - Prob. 58ECh. 12.1 - Prob. 59ECh. 12.1 - Prob. 60ECh. 12.1 - Prob. 61ECh. 12.1 - Prob. 62ECh. 12.1 - Prob. 63ECh. 12.1 - Prob. 64ECh. 12.1 - Prob. 65ECh. 12.2 - Prob. 68ECh. 12.2 - Prob. 69ECh. 12.2 - Prob. 70ECh. 12.2 - Prob. 71ECh. 12.2 - Prob. 72ECh. 12.2 - Prob. 73ECh. 12.2 - Prob. 74ECh. 12.2 - Prob. 75ECh. 12.2 - Prob. 76ECh. 12.2 - Prob. 77ECh. 12.2 - Prob. 78ECh. 12.2 - Prob. 79ECh. 12.3 - Prob. 82ECh. 12.3 - Prob. 83ECh. 12.3 - Prob. 84ECh. 12.3 - Prob. 85ECh. 12.3 - Prob. 86ECh. 12.3 - Prob. 87ECh. 12.3 - Prob. 88ECh. 12.3 - Prob. 89ECh. 12.3 - Prob. 90ECh. 12.3 - Prob. 91ECh. 12.3 - Prob. 92ECh. 12.3 - Prob. 93ECh. 12.3 - Prob. 94ECh. 12.3 - Prob. 95ECh. 12.3 - Prob. 96ECh. 12.3 - Prob. 97ECh. 12.3 - Prob. 98ECh. 12.3 - Prob. 99ECh. 12.3 - Prob. 100ECh. 12.3 - Prob. 101ECh. 12.3 - Prob. 102ECh. 12.3 - Prob. 103ECh. 12.3 - Prob. 104ECh. 12.3 - Prob. 105ECh. 12.3 - Prob. 106ECh. 12.3 - Prob. 107ECh. 12.3 - Prob. 108ECh. 12.3 - Prob. 109ECh. 12.3 - Prob. 110ECh. 12.3 - Prob. 111ECh. 12.3 - Prob. 112ECh. 12.3 - Prob. 113ECh. 12.3 - Prob. 114ECh. 12.3 - Prob. 115ECh. 12.3 - Prob. 116ECh. 12.3 - Prob. 117ECh. 12.3 - Prob. 118ECh. 12.3 - Prob. 119ECh. 12.3 - Prob. 120ECh. 12.3 - Prob. 121ECh. 12.3 - Prob. 122ECh. 12.3 - Prob. 123ECh. 12.3 - Prob. 124ECh. 12.3 - Prob. 125ECh. 12.3 - Prob. 126ECh. 12.3 - Prob. 127ECh. 12.3 - Prob. 128ECh. 12.3 - Prob. 129ECh. 12.3 - Prob. 130ECh. 12.3 - Prob. 131ECh. 12.3 - Prob. 132ECh. 12.3 - Prob. 133ECh. 12.3 - Prob. 134ECh. 12.3 - Prob. 135ECh. 12.4 - Prob. 136ECh. 12.4 - Prob. 137ECh. 12 - Prob. 142CECh. 12 - Prob. 143CECh. 12 - Prob. 144CECh. 12 - Prob. 145CECh. 12 - Prob. 146CECh. 12 - Prob. 147CECh. 12 - Prob. 148CECh. 12 - Prob. 149CECh. 12 - Prob. 150CECh. 12 - Prob. 151CECh. 12 - Prob. 152CECh. 12 - Prob. 153CECh. 12 - Prob. 154CECh. 12 - Prob. 155CECh. 12 - Prob. 156CECh. 12 - Prob. 157CECh. 12 - Prob. 158CECh. 12 - Prob. 159CECh. 12 - Prob. 160CECh. 12 - Prob. 161CECh. 12 - Prob. 162CECh. 12 - Prob. 163CECh. 12 - Prob. 164CECh. 12 - Prob. 165CECh. 12 - Prob. 166CECh. 12 - Prob. 167CECh. 12 - Prob. 168CECh. 12 - Prob. 169CECh. 12 - Prob. 170CECh. 12 - Prob. 171CECh. 12 - Prob. 172CECh. 12 - Prob. 173CECh. 12 - Prob. 174CECh. 12 - Prob. 175CECh. 12 - Prob. 176CE
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