One share of Napier Inc. is currently trading at $84 per share. In one year, the price is expected either (1) rise to $105 or (2) fall to $60. You are interested in purchasing a call option on Napier, Inc. The option has a strike price of $92 and expires in 1 year. The current risk-free rate for the year is 4%. 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 at 5.29.

One share of Napier Inc. is currently trading at $84 per share. In one year, the price is expected either (1) rise to $105 or (2) fall to $60. You are interested in purchasing a call option on Napier, Inc. The option has a strike price of $92 and expires in 1 year. The current risk-free rate for the year is 4%. 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 at 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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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".
The stock price of Copious Corp. is currently $30. The stock price 1 year(s) from now will be either $34 or $27. The annual risk-free rate is 1.4%. Using the binomial model, what is the value of a call option with an exercise price of $30 and an expiration date 1 year(s) from now?
The current price of a stock is $20, and at the end of one year its price will be either $22 or $18. The annual risk-free rate is 2.0% (use daily compounding with 365 days/year), based on daily compounding. A 1-year call option on the stock, with an exercise price of $19, is available. Based on the binominal model, what is the option's value?(Please Show Work)
The current stock price of KLMCO iNC is $111.00. You expect the stock price a year from now to be either $128.00 or $92.00 with equal probabilities . The interest rate at which investors can borrow is 11%. using the binomial opm, what should be the price of a put option with an exercise price of $120.00 an expiration date one year from now
Optival’s stock is currently trading at $60 per share with a historical volatility of 20%. The risk-free rate is 4%. Consider a European call and put option on Optival’s stock with an exercise price of $55 that expires in 2 years. Use excel or a similar program to determine the option price using the Black-Scholes formula. (a): What is the value the European call and put option on Optival’s stock with a strike price of $60? (b): To the nearest cent, how much does the option value change for the following adjustments to the input values: ∆ in Call Value ∆ in Put Value ↑ stock price by $1 to $61 ↑ strike price by $1 to $56 ↑ the rF by 1% to 5% ↑ volatility by 1% to 21% ↑ time to maturity by 1 yr (c): Why does the value of the call increase by less than $1 when the stock price increases by $1? (d): To the nearest percent and holding all else constant, how high would the risk-free rate need to be for a 1 year increase in time to maturity to have a negative impact on the value of…
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 $225.50 and an expiration date one year from now?
The current price of a stock is $20. 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 thestock that has a strike price of $21 and that expires in 1 year. (Hint: Use dailycompounding.)
You have the following information about LearnMore Inc.’s stock and a two-month call option with a strike price of $140.00. LearnMore Inc.’s current stock price is $100.00. You are using the multiperiod binomial option pricing model to find the value of the two-month option with two periods. ∏u∏u and ∏d∏d values given here apply to any period. Data Collected for LearnMore Inc. u 1.5032 d 0.5922 ∏u∏u 0.2357 ∏d∏d 0.3555 You work with a junior analyst to calculate the value of the option, and she submits her inferences to you. Which of the following points are true in the case of LearnMore Inc.’s stock options? Check all that apply. The option payoff if the stock goes up in two months will be $10.32. The value of the two-month call option with a strike price of $140.00 at the end of two months will be $2.43. The value of the call option will always remain $2.43, irrespective of the time until expiration. LearnMore Inc.’s stock price…
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1) In a one-period binomial model, assume that the current stock price is $100, and that it will rise to $130 or fall to $70 after one month. The gross one month risk - free rate is 1.02 %. Using risk neutral pricing, what is the price of a 100- strike one-month call option? Round your calculaton for q and 1 - q to four (4) decimal places. a. $14.90 b. $14.71 c. $15.05 d. $15.69 2) In a one-period binomial model, assume that the current stock price is $100, and that it will rise to $120 or fall to $80 after one month. The gross one month risk - free rate is 1.03%. Using risk neutral pricing, what is the price of a 100-strike one-month put option? Round your calculaton for q and 1 - q to three (3) decimal places a. $8.00 b. $8.25 c. $8.50 d. $8.75

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