Statistics for Management and Economics, Abbreviated
10th Edition
ISBN: 9781305480483
Author: KELLER, Gerald
Publisher: Cengage Learning
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Chapter 1, Problem 5CE
To determine
Describe a statistical experiment.
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6. Rent seeking
The following graph shows the demand, marginal revenue, and marginal cost curves for a single-price monopolist that produces a drug that helps
relieve arthritis pain.
Place the grey point (star symbol) in the appropriate location on the graph to indicate the monopoly outcome such that the dashed lines reveal the
profit-maximizing price and quantity of a single-price monopolist. Then, use the green rectangle (triangle symbols) to show the profits earned by the
monopolist.
18
200
20
16
16
14
PRICE (Dollars per dose)
12
10
10
8
4
2
MC = ATC
MR
Demand
0
0
5
10
15
20 25 30
35 40
45
50
QUANTITY (Millions of doses per year)
Monopoly Outcome
Monopoly Profits
Suppose that should the patent on this particular drug expire, the market would become perfectly competitive, with new firms immediately entering
the market with essentially identical products.
Further suppose that in this case the original firm will hire lobbyists and make donations to several key politicians to extend its…
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
Chapter 1 Solutions
Statistics for Management and Economics, Abbreviated
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