You are attempting to value a call option with an exercise price of $105 and one year to expiration. The underlying stock pays no dividends, its current price is $105, and you believe it has a 50% chance of increasing to $127 and a 50% chance of decreasing to $83. The risk-free rate of interest is 10%. Calculate the call option’s value using the two-state stock price model. Note: Do not round intermediate calculations. Round your final answer to 2 decimal places.

You are attempting to value a call option with an exercise price of $105 and one year to expiration. The underlying stock pays no dividends, its current price is $105, and you believe it has a 50% chance of increasing to $127 and a 50% chance of decreasing to $83. The risk-free rate of interest is 10%. Calculate the call option’s value using the two-state stock price model. Note: Do not round intermediate calculations. Round your final answer to 2 decimal places.

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter5: Financial Options

Section: Chapter Questions

Problem 5MC: In 1973, Fischer Black and Myron Scholes developed the Black-Scholes option pricing model...

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You are attempting to value a call option with an exercise price of $109 and one year to expiration. The underlying stock pays no dividends, its current price is $109, and you believe it has a 50% chance of increasing to $133 and a 50% chance of decreasing to $85. The risk-free rate of interest is 9%. Calculate the call option's value using the two-state stock price model. Note: Do not round intermediate calculations. Round your final answer to 2 decimal places. Call option's value
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Use the Black-Scholes formula to find the value of a call option based on the following inputs. Note: Do not round intermediate calculations. Round your final answer to 2 decimal places. Stock price Exercise price Interest rate Dividend yield Time to expiration Standard deviation of stock's returns Call value $ 51 $ 64 0.068 0.04 0.50 0.265
You are attempting to value a call option with an exercise price of $100 and one year to expiration. The underlying stock pays no dividends, its current price is $100, and you believe it has a 50% chance of increasing to $120 and a 50% chance of decreasing to $80. The risk-free rate of interest is 10%. Calculate the call option’s value using the two-state stock price model.
Consider the following options, which have the same two-year maturity and are written on the same stock. The firm does not pay dividends. Put option P1 has a strike price Xp1 = $50 Put option P2 has a strike price Xp2 = $100 Call option C1 has a strike price Xc1 = $100 Call option C2 has strike price Xc2 = $50 Your broker offers two trading strategies that can be derived from the options above. Strategy A: Long two puts P1 and long two calls C1 Strategy B: Long two calls C2 and long two puts P2 A. Which strategy would you choose if the two strategies have the same costs? Explain your answer. You now collect more information about the available securities. The stock has an implied volatility of 45% p.a.. The current risk-free rate is 1% p.a. The current stock price is $56. B. Calculate the value of the call option C1 using the Black-Scholes formula. Explain why such a deep out-of-the-money option still has a positive valuere: C. Calculate the cost of strategy B using the Black-Scholes…