Rebecca is interested in purchasing a European call on a hot new stock, Up, Inc. The call has a strike price of $95.00 and expires in 92 days. The current price of Up stock is, $116.91 and the stock has a standard deviation of $39 per year. The risk-free interest rate is 6.72% per year. Up stock pays no dividends. Use a 365-day year. a. Using the Black-Scholes formula, compute the price of the call. b. Use put-call parity to compute the price of the put with the same strike and expiration date. (Note: Make sure to round all intermediate calculations to at least five decimal places.)

Rebecca is interested in purchasing a European call on a hot new stock, Up, Inc. The call has a strike price of $95.00 and expires in 92 days. The current price of Up stock is, $116.91 and the stock has a standard deviation of $39 per year. The risk-free interest rate is 6.72% per year. Up stock pays no dividends. Use a 365-day year. a. Using the Black-Scholes formula, compute the price of the call. b. Use put-call parity to compute the price of the put with the same strike and expiration date. (Note: Make sure to round all intermediate calculations to at least five decimal places.)

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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Similar questions

The price of a stock, which pays no dividends, is $30 and the strike price of a two-year European call option on the stock is $25. The risk-free rate is 8% (continuously compounded). Which of the following is a precise lower bound for the option such that there are arbitrage opportunities if the price is below the lower bound and no arbitrage opportunities if it is above the lower bound? Round your answer to 2 decimal places. a. $8.42 b. $8.76 c. $8.57 d. $8.70
The current price of Natasha Corporation stock is $6.00. In each of the next two years, this stock price can either go up by $2.50 or go down by $2.00. The stock pays no dividends. The one-year risk-free interest rate is 3.0% and will remain constant. Using the Binomial Model, calculate the price of a two-year call option on Natasha stock with a strike price of $7.00. The price of the two-year call option is $ (Round to the nearest cent.)
A stock price is currently $51. It is assumed that at the end of six months it will be either $30 or $74. The risk-free interest rate is 1.3% per annum with continuous compounding. The stock doesn't pay dividends. One-step binomial tree is used to value options. What is the value of a six-month European call option with a strike price of $51? Round your final result to the nearest cents and input one number only, without units or percentage sign [%], using the dot [.] to separate decimals. Your Answer: Answer
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.
The current price of a stock is $21. In 1 year, the price will be either $26 or $16. The annual risk-free rate is 5%. Find the price of a call option on the stock that has a strike price of $22 and that expires in 1 year. (Hint: Use daily compounding.) Assume a 365-day year. Do not round intermediate calculations. Round your answer to the nearest cent.
The price of a European call option on a stock with a strike price of $50.9 is $5.6. The stock price is $40.1, the continuously compounded risk-free rate (all maturities) is 5.2% and the time to maturity is one year. A dividend of $0.6 is expected in six months. What is the price of a one-year European put option on the stock with a strike price equal to the call's strike price? Please state the formula and steps, thanks
The stock price of Heavy Metal (HM) changes only once a month: either it goes up by 24% or it falls by 20.7%. Its price now is $48. The interest rate is 1.2% per month. What is the value of a one-month call option with an exercise price of $48? What is the option delta? The payoffs of the call option can be replicated by buying shares of stock and borrowing. What amount should be invested in stock and what amount must be borrowed? What is the value of a two-month call option with an exercise price of $49? What is the option delta of the two-month call over the first one-month period?
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.
The current price of a stock is $20. In 1 year, the price will be either $28 or $15. The annual risk-free rate is 7%. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below. Find the price of a call option on the stock that has a strike price is of $25 and that expires in 1 year. (Hint: Use daily compounding.) Assume 365-day year. Do not round intermediate calculations. Round your answer to the nearest cent.

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