Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Textbook Question
Chapter 15, Problem 27C
You write a call option with
a. Draw the payoff graph for this strategy at the option expiration date.
b. Draw the profit graph for this strategy.
c. What is the break-even point for this strategy?
d. Is the investor bullish or bearish on the stock?
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Suppose you want to establish a bullish spread strategy. The are two call options. The first one has X1=$50 and C1=$5. The second one has X2=$42 and C2=$6.
When the underlying asset price is S(t)=$45, what is the profit from the strategy?
What is the maximum profit of the strategy?
What is the minimum payoff of the strategy?
V
You buy a straddle, which means you purchase a put and a call with the same strike price. The put price is $2.80 and the call price is $4.20. Assume the strike price is $75.
What is the cost of this strategy?
2. What are the break-even stock prices
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.
Chapter 15 Solutions
Essentials Of Investments
Ch. 15.2 - Plot the rate of return to the call-plus-bills...Ch. 15.2 - Prob. 2EQCh. 15 - Prob. 1PSCh. 15 - Prob. 2PSCh. 15 - Prob. 3PSCh. 15 - Prob. 4PSCh. 15 - Prob. 5PSCh. 15 - Prob. 6PSCh. 15 - Prob. 7PSCh. 15 - The following diagram shows the value of a put...
Ch. 15 - You are a portfolio manager who uses Options...Ch. 15 - An investor purchases a stock for 38 and a put for...Ch. 15 - ll. Imagine that you are holding shares of stock,...Ch. 15 - Prob. 12PSCh. 15 - The common stock of the R.U.I.T. Corporation has...Ch. 15 - 14. The common stock of the C.A.L.L. Corporation...Ch. 15 - Prob. 15PSCh. 15 - Prob. 16PSCh. 15 - Prob. 17PSCh. 15 - Prob. 18PSCh. 15 - Prob. 19PSCh. 15 - In what ways is owning a corporate bond similar to...Ch. 15 - Prob. 21PSCh. 15 - Consider the following options portfolio: You...Ch. 15 - Consider the following portfolio. You write a put...Ch. 15 - A put option with strike price 300 on the Acme...Ch. 15 - You buy a share of stock, mite a one-year call...Ch. 15 - Joe Finance has just purchased a stock-index fund,...Ch. 15 - You write a call option with X=50 and buy a call...Ch. 15 - Devise a portfolio using only call options and...Ch. 15 - Prob. 29CCh. 15 - Prob. 1CPCh. 15 - Prob. 2CPCh. 15 - Prob. 3CPCh. 15 - Prob. 4CPCh. 15 - Prob. 5CPCh. 15 - Prob. 1WM
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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
- Three put options on a stock have the same expiration date and strike prices of $55, $60, and $65. The market prices are $3, $5, and $8, respectively. Explain how a butterfly spread can be created. Draw a profit diagram of your strategy to communicate the range of stock prices that the butterfly spread would lead to a loss. (When you draw a profit diagram, please, do consider option premia.arrow_forwardSuppose 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_forwardIf put A has T = 0.5, X = 50, sigma = 0.2, and a price of 10, and put B has T = 0.5, X = 50, sigma = 0.2, and a price of 12, which put is written on a stock with a lower price (and why)?arrow_forward
- Consider the model of Black and Scholes. Consider the cash=or-nothing put option V (T) = 1{S(T)<= K} It pays out one unit of cash if the spot is below the strike at maturity. Evaluate the price of the option.arrow_forwardUse the put-call parity relationship to demonstrate that an at-the-money call option on a nondividend-paying stock must cost more than an at-the-money put option. Show that the prices of the put and call will be equal if S0 = (1 + r)T..arrow_forwardWe showed in the text that the value of a call option increases with the volatility of the stock. Is this also true of put option values? Use the put-call parity theorem as well as a numerical example to prove your answer.arrow_forward
- 4. Valuation of a Derivative Consider a derivative on a stock with the time to expiration T and the following payoff: 0 K₁ 0 if ST K₁. What is the present value of the derivative? Provide an analytic expression of the price using N(), the cumulative probability distribution function of a standard normal random variable.arrow_forward6. Equilibrium pricing: Let the subscripts: j = 0 denote the risk-free asset, j = 1,...,n the set of available risky securities, and M the market portfolio. For the questions that follow, assume that CAPM provides an accurate description of reality. a. b. C. d. State the CAPM equation. (1) Use the CAPM equation to show that the following condition is true s; ≤ SM for any j. What is the significance of this condition when interpreted in the context of the capital market line? (5) Assume that B = 0.8, μM = 0.1 and r = 0.05. Using the CAPM, determine the expected return from holding one unit of asset j for one period. (2) Given your answer to c.), what could you conclude (from the perspective of the security market line) if a market survey indicated that the forecasted one- period return on asset j was 8 percent? Describe and motivate the rational trading response that is consistent with your conclusion. (4)arrow_forwardA call option with a strike price of $100 costs $5. A put option with a strike price of $85 costs $4. Explain how a strangle can be created from these two options. What is the cost of this strategy? When should I exercise my options? For what range of future stock prices would the strategy lead to a gain and what is the maximum gain you can receive? Prove your answer by providing an example. 5 For what range of future stock prices would the strategy lead to a loss and what is the maximum loss you could sustain? Prove it by giving an example.arrow_forward
- Let X = strike price and S = share price. A put option is deep out-of-the-money if _____________ (choose the best answer from the list below to complete the sentence). X/S is between 1.01 and 1.05 X/S is between 1.06 and 1.15 X/S is between 0.95 and 0.99 X/S is between 0.85 and 0.94 X/S is equal to 1.00arrow_forwardA call option with X = $55 on a stock priced at S = $60 is sells for $12. Using a volatility estimate of σ = 0.35, you find that N(d1) = 0.7163 and N(d2) = 0.6543. The risk-free interest rate is zero. Is the implied volatility based on the option price more or less than 0.35?arrow_forwardConsider a call option whose maturity date is T and strike price is K. At any time t < T, is it always the case that the call option's price must be greater than or equal to max(St – K,0), where St is the stock price at t? (Your answer cannot be more than 30 words. Answers with more than 30 words will not be graded.)arrow_forward
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