A stock is priced at 85 and six-month European call and put options on the stock are available. A 90-strike call is priced at 5.40 and a 95-strike call is priced at 3.82. A 90- strike put is priced at 9.44 and a 95-strike put is priced at 12.74. A portfolio is comprised of 1 long 90 strike call, 1 short 95-strike call, 1 short 90-strike put, and 1 long 95-strike put. If the force of interest is 5%, calculate the payoff on this portfolio after 6 months if the stock price is 92 at that time.

A stock is priced at 85 and six-month European call and put options on the stock are available. A 90-strike call is priced at 5.40 and a 95-strike call is priced at 3.82. A 90- strike put is priced at 9.44 and a 95-strike put is priced at 12.74. A portfolio is comprised of 1 long 90 strike call, 1 short 95-strike call, 1 short 90-strike put, and 1 long 95-strike put. If the force of interest is 5%, calculate the payoff on this portfolio after 6 months if the stock price is 92 at that time.

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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A stock is currently priced at $42 and will move up by a factor of 1.24 or down by a factor of .93 each period over each of the next two periods. The risk-free rate of interest is 3 percent. What is the value of a put option with a strike price of $51? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
A non paying dividend stock's price is 51. Call option delta is 0.5. Stock volatility is 0.2.By using BS model, the premium of 9 months 56-strike priced European Call option is (Please keep four decimal places).
A call option currently sells for $9.25. It has a strike price of $45 and six months to maturity. A put with the same strike and expiration date sells for $7.50. If the risk-free interest rate is 6.3 percent, what is the current stock price? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Current stock price
A call option currently sells for $7.00. It has a strike price of $40 and five months to maturity. A put with the same strike and expiration date sells for $5.00. If the risk-free interest rate is 5 percent, what is the current stock price? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Current stock price
A stock price with an expected return of 26% and a volatility of 30% . The current price is $48 . What is the probability that a European call option on the stock with an exercise price of $50 and a maturity date in six months will be exercised
The current price of a stock is $33, and the annual risk-free rate is 6%. Acall option with a strike price of $32 and with 1 year until expiration has acurrent value of $6.56. What is the value of a put option written on the stockwith the same exercise price and expiration date as the call option?
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?
A stock is selling today for $110. The stock has an annual volatility of 64 percent and theannual risk-free rate is 7 percent.a. Calculate the fair price for a 1-year European call option with an exercise price of $95.b. Calculate how much the current stock price would need to change for the purchaser ofthe call option to break even in one year.c. Calculate the fair price for a 1 year European put option with an exercise price of $95
A trader creates a bear spread by selling a six-month put option with a $25 strike price for $2.15 and buying a six-month put option with a $29 strike price for $4.75. What is the total payoff when the stock price in six months is (c) $33
A put option is currently selling for $5.8. It has a strike price of $65 and seven months to maturity. The current stock price is $71. The risk-free rate is 4.8 percent, and the stock will pay a $3.1 dividend in two months. What is the price of a call option with the same strike price? (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Price of a call option
You are given the following information concerning options on a particular stock: Stock price= Exercise price= Risk-free rate= Maturity= Standard deviation= $83 Intrinsic value=$ $80 6% per year, compounded continuously 6 months 47% per year (a)What is the intrinsic value of the call option? (Please keep two digits after the decimal point.) (b)What is the time premium of the call option? (Please keep two digits after the decimal point.) Time premium of the call option=$
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?

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