A put and call on the same underlying share each have strike price 25 and expiry date 2 years. Which portfolio will give a payoff-IS(2)-25), where S(2) is the price of the stock in 2 years. Select one: O a. going long one put and long one call O b. going short one put and long one call Oc. going long one put and short one call Od. going short one put and short one call

A put and call on the same underlying share each have strike price 25 and expiry date 2 years. Which portfolio will give a payoff-IS(2)-25), where S(2) is the price of the stock in 2 years. Select one: O a. going long one put and long one call O b. going short one put and long one call Oc. going long one put and short one call Od. going short one put and short one call

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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Show that Black-Scholes call option hedge ratios also increase as the stock price increases. Consider a 1-year option with exercise price $50, on a stock with annual standard deviation 20%. The T-bill rate is 3% per year. Find N(d1) for stock prices (a) $45, (b) $50, and (c) $55.
1. HEJO company has the current stock price of $20 today. Use a 1 step binomial tree to estimate the price of a oneyear call on thisstock. Assume the price can increase or decrease by 10% in in the next year with equal likelihood. Risk free rate is 2%, the strike is $21. A. Find the hedge ratio(H), (make sure have the correct sign, this will be written out as a decimal B) Find the call's value or price today Note: Show the calculation without using excel.
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)
Calculate the risk neutral probability
You buy a share of stock, write a 1-year call option with X = $55, and buy a 1-year put option with X = $55. Your net outlay to establish the entire portfolio is $54. The stock pays no dividends. a. What is the payoff of your portfolio? Payoff b. What must be the risk-free interest rate? (Round your answer to 2 decimal places.) Risk-free rate %
Suppose that a June call option to buy a share for $65 costs $3.5 and is held until June. Under what circumstances will the holder of the option make profit Under what circumstances will the option be exercised? Draw a diagram showing how the profit on a long position in the option depends on the stock price at the maturity of the option.
Nikul
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%,
Far a nonclividend-paying stock, yOU are giveni) The current stock price is 100 ii) At the end of one year the stock price will either be 100 u or 92 iii) The continuously compounded risk-free interest rate is 0.05 iv) The price of a one-year at the money call option on the stock is 1.78 Calculate u
he stock price of Copious Corp. is currently $31. The stock price 2 year(s) from now will be either $34 or $ 27. The annual risk - free rate is 7.2%. Using the binomial model, what is the value of a call option with an exercise price of $31 and an expiration date 2 year(s) from now?
Assume that you hold a call option on stock A. The call has a strike price of 50 and expires in 6 months. Stock A pays no dividends. 1. What is the payoff from the call if stock A is trading at 57 in 6 months? 2. What is the payoff from the call if stock A is trading at 45 in 6 months? 3. Draw a payoff diagram that shows the payoff of the call as a function of the underlying stock price.
13. 3. Build a three-step CRR stock price tree using the following information:•maturity: 3 months, i.e. each step is one month•annual volatility of the stock: 0.35•annual, continuously compounded risk-free rate: 1%•stock price today: 50 (b) Calculate the price of an American put option with strike K = 50.

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