Investments
11th Edition
ISBN: 9781259277177
Author: Zvi Bodie Professor, Alex Kane, Alan J. Marcus Professor
Publisher: McGraw-Hill Education
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Question
Chapter 20, Problem 21PS
a
Summary Introduction
To draw: A graph showing the portfolio’s value as on expiration date.
Introduction:
Payoff graph: It is supposed to be a graphical representation of the potential outcomes of a strategy. The vertical axis depicts the
b
Summary Introduction
To draw: A graph showing the portfolio’s profit and compare the cost of the options.
Introduction:
Outlay cost: When a strategy is being executed, some costs are incurred. These costs can be termed as outlay costs. Outlay costs are incurred even when some assets are being purchased. As they are paid to the vendors, they can be easily recognized and measured in terms of money.
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Consider the following portfolio. You write a put option with exercise price $90 and buy a put with the same expiration date with exercise price $95.
a. Plot the value of the portfolio at the expiration date of the options.
b. Now, plot the profit of the portfolio. Which option must cost more?
You write a put option with X = 100 and buy a put with X = 110. The puts are on the same stock and have the same expiration date.a. Draw the payoff graph for this strategy.b. Draw the profit graph for this strategy.c. If the underlying stock has positive beta, does this portfolio have positive or negative beta?
Draw the profit diagram (profit not payoff) of a portfolio consisting of a long position in two call options with exercise price ?, a short position in five call options with exercise price 2? and a long position in four call options with exercise price 3?. All options have the same maturity date and the same underlying stock. Clearly state any assumptions made. Is the cost of the portfolio positive?
Chapter 20 Solutions
Investments
Ch. 20 - Prob. 1PSCh. 20 - Prob. 2PSCh. 20 - Prob. 3PSCh. 20 - Prob. 4PSCh. 20 - Prob. 5PSCh. 20 - Prob. 6PSCh. 20 - Prob. 7PSCh. 20 - Prob. 8PSCh. 20 - Prob. 9PSCh. 20 - Prob. 10PS
Ch. 20 - Prob. 11PSCh. 20 - Prob. 12PSCh. 20 - Prob. 13PSCh. 20 - Prob. 14PSCh. 20 - Prob. 15PSCh. 20 - Prob. 16PSCh. 20 - Prob. 17PSCh. 20 - Prob. 18PSCh. 20 - Prob. 19PSCh. 20 - Prob. 20PSCh. 20 - Prob. 21PSCh. 20 - Prob. 22PSCh. 20 - Prob. 23PSCh. 20 - Prob. 24PSCh. 20 - Prob. 25PSCh. 20 - Prob. 26PSCh. 20 - Prob. 27PSCh. 20 - Prob. 28PSCh. 20 - Prob. 29PSCh. 20 - Prob. 30PSCh. 20 - Prob. 31PSCh. 20 - Prob. 1CPCh. 20 - Prob. 2CPCh. 20 - Prob. 3CPCh. 20 - Prob. 4CPCh. 20 - Prob. 5CP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- Suppose you construct a strategy based on options on a stock that is currently selling for $100. The strategy is as follows: Buy one call option having an exercise price of $95. Sell two calls having an exercise price of $100. Buy one call option having an exercise price of $105. All of the options are written on the same stock and all have the same expiration date. Compute the payoff (the dollars you receive) from this strategy at the expiration date for each of the following alternative stocks prices: $90, $95, $98, $100, $102, $105, and $110. What additional information would be required to determine whether your strategy had been profitable? What is the name of this strategy?arrow_forwardFor each of the following option positions state the risk profile, draw the profit and loss area and show the breakeven price on each graph. a) Long 7.00 call @ 0.30 b) Short 7.00 call @ 0.30 Risk profile: Risk profile: c) Long 7.00 put @ 0.20 d) Short 7.00 put @ 0.20 Risk profile: Risk profile:arrow_forwardSuppose that put options on a stock with strike prices $18 and $20 cost $2 and $3.50, respectively. How can the options be used to create a bull spread? Construct atable that shows the profit and payoff for the spread.arrow_forward
- Write out the equation for the Capital Market Line (CML), and draw it on the graph. Interpret the plotted CML. Now add a set of indifference curves and illustrate how an investors optimal portfolio is some combination of the risky portfolio and the risk-free asset. What is the composition of the risky portfolio?arrow_forwardAssume that there are three different put options on a stock available and that all of them have the same expiration date. These three options have the following market prices $6, $3, and $1, and strike prices $40, $35, and $30, respectively. Construct a butterfly spread and show the relevant profits and losses. The use of graph is essential.arrow_forwardFind a portfolio with payoff at time T equal to if 0 ≤ S(T) ≤ 10, if 10 ≤S(T) ≤ 30, if 30 ≤S(T). VT = 2ST + 30, -3ST+80, ST-40, Here, ST denotes the price of the underlying asset at time T. You can hold cash, the asset, calls, and puts.arrow_forward
- Call options on a stock are available with strike prices of $15, $17.5 and $20 before expiration date. The call premiums for each are $4, $2 and $0.5 respectively. Explain how the options can be used to create a butterfly spread. A. Construct a table showing how profit varies with stock price for the butterfly spread. B. Plot the profit with stock price for the butterfly spread. List the profit formula for each trend.arrow_forward* Consider the following portfolio II: long one call with exercise price E₁, long one put with exercise price E2, short one call with exercise price E, and short one put with exercise price E1+E2 E. Consider the case E₁ < E < E2 where E < 2 ⚫ (a) Write down the pay-off function A(S) for the portfolio II. • • (b) What is the value of the pay-off function when S < E₁? (c) What is the value of the pay-off function when E < S < E₂?arrow_forwardConsider the following graph. According to Markowitz’ portfolio theory, which point on the graph represents optimal portfolio? C A B Darrow_forward
- Construct a hedge portfolio and by using the binomial option pricing model and find the values of Pu and Pd; and P. Explain your answer and describe the hedge portfolio. A stock currently priced at $100. One period later it can go up to $125, an increase of 25 percent, or down to $80, a decrease of 20 percent. Assume a put option is available with an exercise price of $100. Consider the example in a two-period world. The risk-free rate is 7 percent. The inputs are summarized as follows S = 100 d = 0.80 u = 1.25 X= 100 r = 0.07arrow_forwarda) The cost of a portfolio consisting of a long position in a call option with strike price 50 and a short position in a call option with strike price 80 is zero (both call options are on the same stock and have the same maturity date). True or false? Explain. b) Carefully draw the payoff diagram of a portfolio consisting of a long position in two call options with exercise price ?, a short position in five call options with exercise price 2? and a long position in four call options with exercise price 3?. All options have the same maturity date and the same underlying stock. What reasons could a speculator have for holding such a portfolio (explain in detail)?arrow_forwardSuppose that the capital asset pricing model (CAPM) applies. The risk premium of a stock is 3 percent and the risk premium of the market portfolio is 2. The standard deviation of the market portfo- lio is 6. Compute the covariance between the stock and the market portfolio.arrow_forward
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