Describe the five variables like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration that the Black-Scholes-Merton Formula uses to calculate the price of call and put options. Explain with some examples for having detail justifications. (Note: Your explanations should be at least 500 words)

Describe the five variables like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration that the Black-Scholes-Merton Formula uses to calculate the price of call and put options. Explain with some examples for having detail justifications. (Note: Your explanations should be at least 500 words)

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 3Q

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In 1973, Fischer Black and Myron Scholes developed the Black-Scholes option pricing model (OPM). (1) What assumptions underlie the OPM? (2) Write out the three equations that constitute the model. (3) According to the OPM, what is the value of a call option with the following characteristics? Stock price = 27.00 Strike price = 25.00 Time to expiration = 6 months = 0.5 years Risk-free rate = 6.0% Stock return standard deviation = 0.49
The Black-Scholes OPM is dependent on which five parameters? Select one: a. Stock price, exercise price, risk free rate, beta, and time to maturity b. Stock price, risk free rate, beta, time to maturity, and variance c. Stock price, exercise price, risk free rate, standard deviation and time to maturity d. Stock price, risk free rate, probability, standard deviation and exercise price
The below question is related to the "Financial Derivatives and Risk Management". Describe the five variables like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration that the Black-Scholes-Merton Formula uses to calculate the price of call and put options. Provide an adequate assumptions to support your explanations.
Describe the five variables (Assets price, Strick price or Exercise Price, Risk- Free- Rate, Time to Expiration, Volatility) that Black-Scholes-Merton Formula uses to calculate the price of call and put options. Explain how the change in these variables (Assets price, Strick price or Exercise Price, Risk- Free- Rate, Time to Expiration, Volatility) affects the price of the option.
Explain in detail with an example how the change of the variables (like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration) of Black-Scholes-Merton Formula affect the price of the option.
Both call and put options are affected by the following five factors: the exercise price, the underlying stock price, the time to expiration, the stock’s standard deviation, and the risk-free rate. However, the direction of the effects on call and put options could be different. Use the following table to identify whether each statement describes put options or call options. Statement Put Option Call Option 1. An option is more valuable the longer the maturity. 2. A longer maturity in-the-money option on a risky stock is more valuable than the same shorter maturity option. 3. When the exercise price increases, option prices increase. 4. As the risk-free rate increases, the value of the option increases.
Both call and put options are affected by the following five factors: the exercise price, the underlying stock price, the time to expiration, the stock’s standard deviation, and the risk-free rate. However, the direction of the effects on call and put options could be different. Use the following table to identify whether each statement describes put options or call options. Statement Put Option Call Option 1. When the exercise price increases, option prices increase. 2. An option is more valuable the longer the maturity. 3. The effect of the time to maturity on the option prices is indeterminate. 4. As the risk-free rate increases, the value of the option increases.
Describe the effect of a change in each of the following factorson the value of a call option: (1) stock price, (2) exercise price,(3) option life, (4) risk-free rate, and (5) stock return standarddeviation (i.e., risk of stock).
The below question is of the course "Financial Derivatives and Risk Management". 1. Explain the call-put parity relation and how it is justified. 2. Describe the five variables like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration that the Black-Scholes-Merton Formula uses to calculate the price of call and put options. 3. Explain how the change in these variables like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration affect the price of the option. 4. Explain how these variables like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration are grouped to show the put-call parity relationship and suggest the condition in which there is an arbitrage opportunity
Describe the effect on a call option’s price that results from an increasein each of the following factors: (1) stock price, (2) strike price, (3) time toexpiration, (4) risk-free rate, and (5) standard deviation of stock return.
Which of the following techniques is used to value stock options? a. Black-Scholes method b. Zero-coupon method c. Weighted-average method d. Expected earnings method
Assume that there are three different put options on a stock available and that all of them have the same expiration date. These three options have the following market prices $6, $3, and $1, and strike prices $40, $35, and $30, respectively. Construct a butterfly spread and show the relevant profits and losses. The use of graph is essential.