The current stock price of Johnson & Johnson (J&J) is $56, and the stock does not pay dividends. The instantaneous risk-free rate of return is 6%. The instantaneous standard deviation of J&J's stock is 25 %. You want to purchase a put option on this stock with an exercise price of $50 and an expiration date 70 days from now. Assume 365 days in a year Using Black - Scholes, the put option should be worth today. Multiple Choice $0.36 $6.94 $6.58 $0.29

The current stock price of Johnson & Johnson (J&J) is $56, and the stock does not pay dividends. The instantaneous risk-free rate of return is 6%. The instantaneous standard deviation of J&J's stock is 25 %. You want to purchase a put option on this stock with an exercise price of $50 and an expiration date 70 days from now. Assume 365 days in a year Using Black - Scholes, the put option should be worth today. Multiple Choice $0.36 $6.94 $6.58 $0.29

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 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
The spot price of a share of XYZ stock is $100. The annual risk-free continuously compounded interest rate is 0.07, and the stock pays no dividends. The annualized standard deviation of the continuously compounded stock return is 0.2. Find the price of a European call option on the stock with strike price $110 and that matures in 4 years.
Consider ABY corp stock. ABY corp stock does not pay a dividend. The risk-free rate is7%. The market’s expected return is 10% and its standard deviation is 15%. The stock trades at $50, it hasβ = 0.7 , and the standard deviation of the stock’s return is 25%. There is a call option on the stock expiringin 1 year at strike 100, which costs $40, and a put option at 110, which costs $80. What is the highest Sharperatio that you can achieve, by trading (i.e. taking arbitrary large long and short positions in) the stock, themarket, and the call and put options, and what strategy do you use to achieve it?
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
A call option is the right to buy stock at $50 a share. Currently the option has six months to expiration, the volatility of the stock (standard deviation) is 0.30, and the rate of interest is 10 percent. A) What is the value of the option according to the Black-Scholes model if the price of the stock is $45, $50, or $55? B) What is the value of the option when the price of the stock is $50 and the option expires in six months, three months, or one month? C) What is the value of the option when the price of the stock is $50 and the interest rate is 5 percent, 10 percent, or 15 percent?
What is the value of a put option if the underlying stock price is $47, the strike price is $40, the underlying stock volatility is 52 percent, and the risk-free rate is 5.5 percent? Assume the option has 150 days to expiration. (Use 365 days in a year. 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 $ 7.00
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.)
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?
The current price of a stock is $33, and the annual risk-free rate is 4%. A call option with a strike price of $32 and with 1 year until expiration has a current value of $6.52. What is the value of a put option written on the stock with the same exercise price and expiration date as the call option? Do not round intermediate calculations. Round your answer to the nearest cent.
The current stock price is $10. In each of the next two years, the stock price can either go up by $2 or go down by $2. The stock pays no dividends. The one-year risk-free interest rate is 5% and will remain constant during this two-year period. a) Using the Binomial Model of option pricing, calculate the price of a two-year call option on the stock with a strike price of $13. b) Using Risk Neutral valuation calculate the price of two-year put option on the stock with a strike price of $7.
A stock currently has a price of 45.00 and pays no dividends. One year from now, there is a 50% (risk-neutral) probability that the price of the stock will be 30.00 and 50% that it will be greater than 40.00. The risk-free rate is 4%. Calculate the price of a one-year European call option with an exercise price of 40.00. Possible Answer A 4.81 B 6.35 9.81 D 10.00 E 1135
Imagine all investors are risk-neutral and we have the following binomial tree: 0 Stock: So= 80 1 100 72 2 120 90 86.4 64.8 Using the risk-neutral option valuation approach, calculate the price of a two-year put option on this stock with a strike price $92. Assume that the risk-free rate is 3% per year. Also assume the stock does not pay a dividend. Pick the closest number.

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