Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Chapter 16, Problem 8PS
We will derive a two-State put option value in this problem. Data:
a. Show that the range of S is
b. Form a portfolio of three shares of stock and five puts. What is the (nonrandom) payoff to this portfolio?
c. What is the
d. Given that the stock currently is selling at
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Data: So=102; X = 115; 1 + r=1.1. The two possibilities for ST are 146 and 84.
Required:
a. The range of S is 62 while that of P is 31 across the two states. What is the hedge ratio of the put?
b. Form a portfolio of one share of stock and two puts. What is the (nonrandom) payoff to this portfolio?
c. What is the present value of the portfolio?
d. Given that the stock currently is selling at 102, calculate the put value.
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What is the present value of the portfolio?
Note: Round your answer to 2 decimal places.
Present value
$
146.00 x
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?
Data: S0 = 102; X = 115; 1 + r = 1.1. The two possibilities for ST are 146 and 84.
Required:
The range of S is 62 while that of P is 31 across the two states. What is the hedge ratio of the put?
Form a portfolio of one share of stock and two puts. What is the (nonrandom) payoff to this portfolio?
What is the present value of the portfolio?
Given that the stock currently is selling at 102, calculate the put value.
Chapter 16 Solutions
Essentials Of Investments
Ch. 16 - Prob. 1PSCh. 16 - A put option on a stock with a current price of 33...Ch. 16 - Prob. 3PSCh. 16 - Prob. 4PSCh. 16 - In each of the following questions, you are asked...Ch. 16 - Reconsider the determination of the hedge ratio in...Ch. 16 - Show that Black-Scholes call option hedge ratios...Ch. 16 - We will derive a two-State put option value in...Ch. 16 - a. Calculate the value of a call option on the...Ch. 16 - Prob. 10PS
Ch. 16 - Prob. 11PSCh. 16 - Prob. 12PSCh. 16 - Prob. 13PSCh. 16 - Prob. 14PSCh. 16 - Prob. 15PSCh. 16 - Prob. 16PSCh. 16 - 17. Find the Black-Scholes value of a put option...Ch. 16 - Prob. 18PSCh. 16 - What would be the Excel formula in Spreadsheet...Ch. 16 - Prob. 20PSCh. 16 - Prob. 21PSCh. 16 - Prob. 22PSCh. 16 - Prob. 23PSCh. 16 - Prob. 24PSCh. 16 - Prob. 25PSCh. 16 - Prob. 26PSCh. 16 - Prob. 27PSCh. 16 - Prob. 28PSCh. 16 - Prob. 29PSCh. 16 - Prob. 30PSCh. 16 - Prob. 31PSCh. 16 - Prob. 32PSCh. 16 - Prob. 33PSCh. 16 - Prob. 34PSCh. 16 - Prob. 35PSCh. 16 - Prob. 36PSCh. 16 - Prob. 38CCh. 16 - Prob. 39CCh. 16 - Prob. 40CCh. 16 - Prob. 41CCh. 16 - Prob. 42CCh. 16 - Prob. 43CCh. 16 - Prob. 44CCh. 16 - Prob. 2CP
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- 2. Derive the single - period binomial model for a put option. Include a single - period example where: u = 1.10, d = 0.95, Rf = 0.05, SO = $100, X = $100. 3. Assume ABC stock's price follows a binomial process, is trading at SO = $100, has u 1.10, d = 0.95, and probability of its price increasing in one period is 0.5 (q = 0.5). a. Show with a binomial tree ABC's possible stock prices, logarithmic returns, and probabilities after one period and two periods. . b. What are the stock's expected logarithmic return and variance for 2 periods and 3 periods? c. Define the properties of a binomial distribution.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 portfolio. You write a put option with exercise price 90 and buy a put option on the same stock with the same expiration date with exercise price 95.a. Plot the value of the portfolio at the expiration date of the options.b. On the same graph, plot the profit of the portfolio. Which option must cost more?arrow_forward
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