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)
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- 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.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.a) discuss the relationship between the up-factor (u), down-factor (d), risk-free rate (r), and binomial probability (p) in the binomial model. b) discuss the assumptions in Black-Scholes-Merton model (BSM) from memory. c) discuss the variables in the BSM formula and explain how they affect call option pricing. d) define historical volatility and implied volatility. e) demonstrate how to reduce risk with gamma hedging.
- 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 priceThe 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 opportunityExplain 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.
- a)explain the concept of the delta normal method for calculating VAR when options are present in the portfolio. b)explain the basic concepts of the historical method and the Monte Carlo simulation method of calculating VARs. c)discuss the benefits and limitations of VAR. d)define credit risk (default risk). e)explain how option pricing theory can be used in valuing default risk.Draw the profit diagram (profit not payoff) of a portfolio consisting of a long position in two call options with exercise price ?, a short position in five call options with exercise price 2? and a long position in four call options with exercise price 3?. All options have the same maturity date and the same underlying stock. Clearly state any assumptions made. Is the cost of the portfolio positive?1. Calculate the Expected Return, Standard Deviation, and Beta for each stock. 2. Which stock has more systematic risk and which one has more unsystematic risk? Which stock is "riskier"? Explain your answer completely. Use excel to show formulas and calculations
- . Answer the following in a couple of sentences c) Compare and contrast forwards with futures. d) Compare and contrast options with futures.i) Calculate the expected return for each stock assuming the Capital Asset Pricing Model (CAPM) is valid, and explain if they are correctly priced. Show your calculations.A) What does the single index model estimate? B) What is the market risk premium? C) What does Beta show? D) What are all the possible values of Beta and what do they mean?