INVESTMENTS-CONNECT PLUS ACCESS
11th Edition
ISBN: 2810022611546
Author: Bodie
Publisher: MCG
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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-CONNECT PLUS ACCESS
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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- Draw the profit diagram of the portfolio just drawn (and clearly state any assumptions you make). The profit is equal to the difference between the payoff of the portfolio at expiry (maturity) date and the cost of the portfolio. Is the cost of the portfolio positive?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_forwardAn investor is considering two possible investment alternatives, Portfolio A and Portfolio B. The expected returns for each are shown in the table below under two different market conditions, along with the investors prediction for the probability of each market condition. The investor's prediction for the probability of each market condition. The investor's utility function can be represented as U(w) - square root (w). If the investor maximises their expected utility, which alternative would they choose? Portfolio A Portfolio B Bull Market Bear Market Portfolio A 16% Portfolio B 4% Probability 0.75 3% 2% 0.25arrow_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_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* 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_forward
- Consider the following graph. According to Markowitz’ portfolio theory, which point on the graph represents optimal portfolio? C A B Darrow_forwardConstruct 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_forward
- Suppose 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_forwardConsider the following portfolio: Long 0 calls with strike price 77.0 Short 1 calls with strike price 77.0 Long 1 calls with strike price 102.0 Short 0 calls with strike price 102.0 Complete the following payoff table. What choice corresponds to the last row of the table? Position ST ≤ 77.0 77.0 < ST ≤ 102.0 ST > 102.0 portfolioarrow_forwardUsing the spreadsheet answer question (c) pleasearrow_forward
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