a. Assuming that all Sophia derivatives expire at the same date in the future, complete a table similar to the following for each of the following contract positions: (1) A short position in a forward with a contract price of $50 (2) A long position in a put option with an exercise price of $50 and a front-end pre- mium expense of $3.23 (3) A short position in a put option with an exercise price of $50 and a front-end pre- mium receipt of $3.23

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter24: Enterprise Risk Management
Section: Chapter Questions
Problem 1Q: Define each of the following terms: a. Derivatives b. Enterprise risk management c. Financial...
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The common stock of Sophia Enterprises serves as the underlying asset for the following derivative securities: (1) forward contracts, (2) European-style call options, and (3) European- style put options.

2. Refer once again to the derivative securities using Sophia common stock as an underlying
asset discussed in Problem 1.
a. Assuming that all Sophia derivatives expire at the same date in the future, complete a
table similar to the following for each of the following contract positions:
(1) A short position in a forward with a contract price of $50
(2) A long position in a put option with an exercise price of $50 and a front-end pre-
mium expense of $3.23
(3) A short position in a put option with an exercise price of $50 and a front-end pre-
mium receipt of $3.23
Expiration Date
Sophia Stock Price
25
30
35
40
45
50
55 60 65 70 75
Expiration Date
Derivative Payoff Derivative Premium Net Profit
Initial
In calculating net profit, ignore the time differential between the initial derivative ex-
pense or receipt and the terminal payoff.
b. Graph the net profit for each of the three derivative positions, using net profit on the
vertical axis and Sophia's expiration date stock price on the horizontal axis. Label the
breakeven (i.e., zero profit) point(s) on each graph.
c. Briefly describe the belief about the expiration date price of Sophia stock that an in-
vestor using each of these three positions implicitly holds.
Transcribed Image Text:2. Refer once again to the derivative securities using Sophia common stock as an underlying asset discussed in Problem 1. a. Assuming that all Sophia derivatives expire at the same date in the future, complete a table similar to the following for each of the following contract positions: (1) A short position in a forward with a contract price of $50 (2) A long position in a put option with an exercise price of $50 and a front-end pre- mium expense of $3.23 (3) A short position in a put option with an exercise price of $50 and a front-end pre- mium receipt of $3.23 Expiration Date Sophia Stock Price 25 30 35 40 45 50 55 60 65 70 75 Expiration Date Derivative Payoff Derivative Premium Net Profit Initial In calculating net profit, ignore the time differential between the initial derivative ex- pense or receipt and the terminal payoff. b. Graph the net profit for each of the three derivative positions, using net profit on the vertical axis and Sophia's expiration date stock price on the horizontal axis. Label the breakeven (i.e., zero profit) point(s) on each graph. c. Briefly describe the belief about the expiration date price of Sophia stock that an in- vestor using each of these three positions implicitly holds.
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