Required:You are attempting to value a call option with an exercise price of $150 and one year to expiration. The underlying stock paysno dividends, its current price is $150, and you believe it has a 50% chance of increasing to $180 and a 50% chance ofdecreasing to $120. The risk-free rate of interest is 6%. Consider one share of stock and two written calls. Calculate the calloption's value using the two-state stock price model. (Do not round intermediate calculations. Round your answer to 2decimal places.)Value of the call

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Answered: Required: You are attempting to value a…

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 think that there is an arbitrage opportunity on the market. The current stock price of Wesley corp. is $20 per share. A one- year put option on Wesley corp. with a strike price of $18 sells for $3.33, while the identical call sells for $7. The one-year risk- free interest rate is 8%. Assuming that the put option is fairly priced, compute the fair price of the call option and explain what you must do to exploit this arbitrage opportunity and what will be your gain.
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Suppose you combine two option contracts as follows. You buy a call option on a stock with an exercise price of $65 for a premium of 9$. At the same time you sell a call option on the same stock with an exercise price of $75 for a premium of $4. Both calls expire at the same time. The stock sells currently at $72. Answer the following questions about this investment strategy: 1. Determinethevalueatexpiration(thepayoffs)andtheprofitunderthefollowingoutcomes: a. The price of the stock at expiration is $78b. The price of the stock at expiration is $69c. Thepriceofthestockatexpirationis$62 2. Determine the following:a. The maximum profit b. The maximum loss 3. Determinethebreakevenstockpriceatexpiration(thestockpriceforwhichyourstrategydeliversno profit and no loss). 4. Depictthepayoffandprofitdiagramsofyourinvestmentstrategy.
A collar is established by buying a share of stock for $54, buying a 6-month put option with exercise price $47, and writing a 6-month call option with exercise price $61. On the basis of the volatility of the stock, you calculate that for a strike price of $47 and expiration of 6 months, N(d1) = 0.7298, whereas for the exercise price of $61, N(d1) = 0.6374. Required: What will be the gain or loss on the collar if the stock price increases by $1? What happens to the delta of the portfolio if the stock price becomes very large? What happens to the delta of the portfolio if the stock price becomes very small?
Suppose that you plan to invest in stock A, because you believe that stock A will appreciate in the next 6 months. The stock current price is $100, and a call option on stock A expiring in 6 months has an exercise price of $100 selling at $15 per option. And you have $7500 in hand to invest the following three strategies: A: Invest entirely in stock A. B: Invest entirely in call option on stock A. C: Buy call options the amount of calls is same as the number of shares we purchase in strategy A, and invest the remaining money in T-bills at interest rate whose annual interest rate is 10%. Suppose that the possible stock price are $90, $100, $110, and $120. (a) At expiration (after 6 months), compute the rates of return for each strategy given different possible stock prices. We don't consider the premium we’ve paid for holding call options in this case. (b) Given different stock price at expiration, which strategy would you like to choose? For example, if the stock price is $90, which…
You are attempting to value a put option with an exercise price of $108 and one year to expiration. The underlying stock pays no dividends, its current price is $108, and you believe it has a 50% chance of increasing to $130 and a 50% chance of decreasing to $86. The risk-free rate of interest is 10%. Calculate the value of a put option with exercise price $108. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. X Answer is complete but not entirely correct. Value of a put option $ 107.50
Suppose you buy a stock at $70 together with a put option with a strike of $70 and a premium of $5. Your minimum payoff at expiration is $_----
Assume a stock is selling for GH¢48.50 with options available at 40, 50, and 60 strike prices.The 50 call option price is at 2.75.a. What is the intrinsic value of the 50 call?b. Is the 50 call in the money?c. Are the 40 and 60 call options in the money?
You are attempting to value a call option with an exercise price of $107 and 1 year to expiration. The underlying stock pays no dividends, its current price is $107, and you believe it has a 50% chance of increasing to $123 and a 50% chance of decreasing to $91. The risk-free rate of interest is 12%. Calculate the call option's value using the two-state stock price model. (Do not round intermediate calculations and round your final answer to 2 decimal places. Omit the "$" sign in your response.) Call option's value 60
1. What is the fair value for a two-year American put option with a strike price of $85 over a stock which is trading at $86.15 which has a volatility of 37% when the risk free rate is 1.75% using the two step binomial tree? a) What is the delta of this option? b) What is the probability of a down movement in this stock? c) What is the probability of an up movement in this stock? d) What is the proportional move up for this stock e) What is the proportional move down for this stock f) What would be the value of the call option with the same strike price?
You bought (that is, you are “long”) both a put option and a call option on Strockfoot stock with the same expiration date. The exercise price of the call option is $40 and the exercise price of the put option is $30. Carefully graph the payoff of the combination of options at expiration.
You are attempting to value a call option with an exercise price of $140 and one year to expiration. The underlying stock pays no dividends, its current price is $140, and you believe it has a 50% chance of increasing to $160 and a 50% chance of decreasing to $120. The risk-free rate of interest is 10%. Consider one share of stock and two written calls. Calculate the call option's value using the two-state stock price model. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

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