(Option Payoff Diagram) You hold a long position in an option portfolio. It contains an European call option on stock XYZ with a strike price of $40 and a put option on the same stock with a strike price of $30. The call option is currently trading at $1 and the put option is trading at $2. Draw a graph indicating your net profit from this investment at the expiration date for stock prices in the range of $0 to $80, Please show one combined plot and please label the axes clearly.

(Option Payoff Diagram) You hold a long position in an option portfolio. It contains an European call option on stock XYZ with a strike price of $40 and a put option on the same stock with a strike price of $30. The call option is currently trading at $1 and the put option is trading at $2. Draw a graph indicating your net profit from this investment at the expiration date for stock prices in the range of $0 to $80, Please show one combined plot and please label the axes clearly.

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter5: Financial Options

Section: Chapter Questions

Problem 4MC

See similar textbooks

Similar questions

An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?
In a financial market a stock is traded with a current price of 50. Next period the priceof the stock can either go up with 30 per cent or go down with 25 per cent. Risk-freedebt is available with an interest rate of 8 per cent. Also traded are European optionson the stock with an exercise price of 45 and a time to maturity of 1, i.e. they maturenext period.a) Find prices of Arrow-Debreu securities.b) Calculate the price of a call option by constructing and pricing areplicating portfolio.
Consider a European call on Amazon Stock (AMZN) that expires in one period. The current stock price is $100, the strike price is $120, and the risk-free rate is 5%. Assume AMZN stock will either go up to $140 or down to $80. Construct a replicating portfolio using shares of AMZN stock and a position in a risk-free asset … what is the value of the call option?
In a financial market a stock is traded with a current price of 50. Next period the priceof the stock can either go up with 30 per cent or go down with 25 per cent. Risk-freedebt is available with an interest rate of 8 per cent. Also traded are European optionson the stock with an exercise price of 45 and a time to maturity of 1, i.e. they maturenext period.i) Find prices of Arrow-Debreu securities.ii) Calculate the price of a call option by constructing and pricing areplicating portfolio.
Consider a European call on Procter and Gamble stock (PG) that expires in one period. The current stock price is $120, the strike price is $130, and the risk-free rate is 5%. Assume that PG stock will either go up to $150 (probability = .4), or go down to $90 (probability = .6). Construct a replicating portfolio based on shares of PG stock and a position in a risk-free asset, and compute the price of the call option.
In a financial market a stock is traded with a current price of 50. Next period the price of the stock can either go up with 30 per cent or go down with 25 per cent. Risk-free debt is available with an interest rate of 8 per cent. Also traded are European options on the stock with an exercise price of 45 and a time to maturity of 1, i.e. they mature next period. Calculate the price of a put option by RNVR.
In a financial market a stock is traded with a current price of 50. Next period the price of the stock can either go up with 30 per cent or go down with 25 per cent. Risk-free debt is available with an interest rate of 8 per cent. Also traded are European options on the stock with an exercise price of 45 and a time to maturity of 1, i.e. they mature next period. 1. Find prices of Arrow-Debreu securities. 2. Calculate the price of a call option by constructing and pricing a replicating portfolio. 3. Calculate the price of a put option by RNVR. 4. Does put-call parity hold? Explain. 5. Construct one long strap and one long straddle using any options from previous part. Sketch the profit and loss graph for each of your portfolios separately and explain the similarity and difference between two positions.
Calculate the price of a put option on stock using a three-time-step binomial tree model. We know that the current stock price is $70, the strike price is $73, the volatility of the stock is 25%, the maturity of the option is 3 years, and the annual effective risk-free rate is 10%, yearly compounding. How much does this put option worth today if it is American? According to the Put-Call Parity, what should be the price of the European call option that is written on the same stock with the same expiration and the same strike price?
Consider a certain butterfly spread on American International Group stock (AIG): this is a portfolio that is long one call at $50, long one call at $70, and short 2 calls at $60. Assume expiration of all options s at the same timet=T. (@) Graph the payoff of this portfolio at expiration T as a function of the stock price ST of AIG. (b) If today the calls cost $13.10, $5.00, and $1.00 for the strikes at 50, 60, and 70, respectively, what will be the profit or loss (PnL) from buying this spread if the stock turns out to be trading at S5 at time T2 at $35? Assume the risk-free rate is 0%,
Stock options, gold options and index options are examples of options where the underlying assets are stocks, gold and stock market index, respectively. What is the difference between European and American option? Are European options available exclusively in Europe and American options available exclusively in the United States? You own a call option on Intuit stock with a strike price of RM36. The option will expire in exactly three months’ time. If the stock is trading at RM46 in three months, what will be the payoff of the call? If the stock is trading at RM32 in three months, what will be the payoff of the call? Draw a payoff diagram showing the value of the call at expiration as a function of the stock price at expiration. Suppose that a June put option to sell a share for RM10 costs RM2 and is held until June. Under what circumstances will the seller of the option make a profit? Under what circumstances will the option exercised?
A call option on a stock index is valued using a three- step binomial tree with an up move that equals 1.05 and a down move that equals 0.95. The probability of the up move and of the down move is both 50%. The current level of the index is $190, and the option exercise price is $200. If the option value is positive when the stock price exceeds the exercise price at expiration and $0 otherwise, the number of terminal nodes with a positive payoff is: Group of answer choices two one three
Assume you want to price a call on a stock that has the price of $35 today. The option matures in one year and has the strike price of $34. Assume the stock price is equally likely to go up by 10% or down by 10% in one year, and you plan to use a one-step binomial tree to price the call option. What is the hedge ratio (in decimal format, use 5 decimal places)?