Assume that an investor holds the following options portfolio: he writes a 3-month maturity call option onFord with an exercise price of $95. Also, he writes a 3-month maturity Ford put option with an exerciseprice of $85.a) Show the payoff structure of this portfolio at option expiration both numerically and graphically.b) Calculate the profit/loss on this position if Ford's stocks are selling at $86 on the option maturity date.Calculate the profit/loss on the position if Ford's stocks are selling at $120. Call option premium is $12,while put option premium is $2.c) Explain what kind of "bet" the investor is making. What must the investor in such a portfolio believeabout Ford's stock price to justify this position?

By purchasing a put option and selling a call option on Ford shares, an investor has established a…

Answered: Assume that an investor holds the…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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You work on a proprietary trading desk of a large investment bank, and you have been asked for a quote on the sale of a call option with a strike price of $53 and one year of expiration. The call option would be written on a stock that does not pay a dividend. From your analysis, you expect that the stock will either increase to $73 or decrease to $38 over the next year. The current price of the underlying stock is $53, and the risk-free interest rate is 5% per annum. What is this fair market value for the call option under these conditions? Do not round intermediate calculations. Round your answer to the nearest cent. $
You buy a share of stock, write a one-year call option with X = $26, and buy a one-year put option with X = $26. Your net outlay to establish the entire portfolio is $24.60. What is the payoff of your portfolio? What must be the risk-free interest rate? The stock pays no dividends. (Do not round intermediate calculations. Round "risk-free rate" to 2 decimal places.)
You are given the following information about the stock of Company ABC: Share price $80 risk free rate of interest is 6%, time to expiration is 6 months, annualised standard deviationis 0.5 and exercise price is $85. Calculate the appropriate call value of the stock according to the Black-Scholes option pricing formula. (Show your workings in full) Calculate an appropriate put premium. (Show your workings in full)
A collar is established by buying a share of stock for $46, buying a 6-month put option with exercise price $43, and writing a 6-month call option with exercise price $49. On the basis of the volatility of the stock, you calculate that for a strike price of $43 and expiration of 6 months, N(d₁) = .6974, whereas for the exercise price of $49, N(d₁) = 0.6504. What will be the gain or loss on the collar if the stock price increases by $1? (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Collar gain by b-1. What happens to the delta of the portfolio if the stock price becomes very large? (Omit the "$" sign in your response.) a. Delta of the portfolio approaches .05 b-2. What happens to the delta of the portfolio if the stock price becomes very small? (Omit the "$" sign in your response.) Delta of the portfolio approaches
Consider the following information on AAPL. The current stock price is $326.72. The call option has a strike price of $320. The price of the call option is $68. The option has 1 year till expiration. Question: Suppose you purchase the option at the current price and hold it until expiration. If the stock price at expiration is $350, the return on your investment is: -55.88% 44.11% -100% None of the above
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.
A collar is established by buying a share of stock for $50, buying a 6-month put option with exercise price $45, and writing a 6-month call option with exercise price $55. On the basis of the volatility of the stock, you calculate that for a strike price of $45 and expiration of 6 months, N(d1) = .60, whereas for the exercise price of $55, N(d1) = .35.a. What will be the gain or loss on the collar if the stock price increases by $1?b. What happens to the delta of the portfolio if the stock price becomes very large?c. What happens to the delta of the portfolio if the stock price becomes very small?
Give typing answer with explanation and conclusion You are considering purchasing a put on a stock with a current price of $33. The exercise price is $35, and the price of the corresponding call option is $3.25. According to the put-call parity theorem, if the risk-free rate of interest is 4% and there are 90 days until expiration, the value of the put should be:
Assume the following inputs for a call option: (1) current stock price is $23, (2) strike price is $28, (3) time to expiration is 5 months, (4) annualized risk-free rate is 5%, and (5) variance of stock return is 0.3. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below. Use the Black-Scholes model to find the price for the call option. Do not round intermediate calculations. Round your answer to the nearest cent.
You buy a share of stock, write a 1-year call option with X = $85, and buy a 1-year put option with X = $85. Your net outlay to establish the entire portfolio is $83.3. Required: What is the payoff of your portfolio? What must be the risk-free interest rate? The stock pays no dividends. Note: Round your answer to 2 decimal places.
Find the implied volatility (to 2 decimals, for example, �=8.23% ) of a Put option with a time to expiration of 11 months and a price of $6.13 The stock is currently trading at $47. The riskless rate is 2% per annum, and the strike/exercise price of the option is $50. Hint: compute the Put price using the same formula as in exercise 4 , as a function of the volatility �. Then use Solver to change the volatility cell in order to obtain a price of $6.13 \table[[�1=,-0.0614997,,So =,47],[�2=,,4,�=,50],[,,,�=,2%
A stock is currently selling for $39. In one period, the stock will move up by a factor of 1.29 or down by a factor of .53. A call option with a strike price of $50 is available. If the risk-free rate of interest is 2.5 percent for this period, what is the value of the call option?

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