One share of Mac Inc. is currently trading at $48 per share. In one year, the price is expected either (1) rise to $65 or (2) fall to $40. You are interested in purchasing a call option on Mac, Inc. The option has a strike price of $57 and expires in 1 year. The current risk-free rate for the year is 3%. Based on binomial options pricing (as shown in class), what is a fair price for this option? Answer to the nearest cent, with no punctuation. That is, $5.289 should be entered as "5.29".

One share of Mac Inc. is currently trading at $48 per share. In one year, the price is expected either (1) rise to $65 or (2) fall to $40. You are interested in purchasing a call option on Mac, Inc. The option has a strike price of $57 and expires in 1 year. The current risk-free rate for the year is 3%. Based on binomial options pricing (as shown in class), what is a fair price for this option? Answer to the nearest cent, with no punctuation. That is, $5.289 should be entered as "5.29".

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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The current stock price of Chocho inc is $125. You expect the stock price a year from now to be either $134 or $86 with equal probabilities. The interest rate at which investors can borrow is 13%. Using the binomial opm, what should be the price (premium) of a call option with an exercise price of $115.00 and an expiration date one year from now?
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.)
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 current price of a stock is $22, and at the end of one year its price will be either $29 or $15. The annual risk-free rate is 3%, based on daily compounding. A 1-year call option on the stock, with an exercise price of $22, is available. Based on the binominal model, what is the option's value?
There are call and put options on the shares in Nord AS with a redemption price of NOK 55 and one year to maturity. Today's share price is NOK 50. At the end of the year, the stock price will either be 30 kroner or 80 kroner. The risk-free interest rate of 3% per. year. a) What is the value of call options today? b) What is the value of the put options today if the put-buy parity holds? You have a portfolio of 2000 shares in Nord AS, but are starting to worry about that price. must fall. You therefore want to secure yourself by using options. c) Show how you can use call and put options to secure your position your. Explain.
Use the binomial tree analysis to value a 6-month American put option with a $65 strike price on Crookshanks Corporation. The shares are currently trading for $60. The annualized continuously compounded risk-free rate is 3%. The volatility of the stock is 57%. You will use the Cox Ross Rubenstein method for computing the binomial tree, and use a time step of 2 months.
The current stock price of Chocho inc is $120. You expect the stock price a year from now to be either $160.00 or $60.00 with equal probabilities. The interest rate at which investors can borrow is 10%. Using the binomial opm, what should be the price (premium) of a call option with an exercise price of $115.00 and an expiration date one year from now?
The market price of JS stock is currently $30. It is known that at the end of three months it will be either $33 or $27. The risk-free interest rate is 8% per annum with continuous compounding. (a) Use a one-step binomial tree to calculate the value of a three-month European put option on the JS stock with a strike price of $31? Use no-arbitrage arguments (you need to show how to set up the riskless portfolio). (b) Use the same one-step binomial tree and your results from (a) to determine the price of a three-month American put option on the JS stock with a strike price of $31
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 is currently selling for $39. In one period, the stock will move up by a factor of 1.29 or down by a factor of .53. A call option with a strike price of $50 is available. If the risk-free rate of interest is 2.5 percent for this period, what is the value of the call option?
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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