Show me the steps to solve... 1. June CME stocks are trading at $ 82.5 and the June CME call option is trading at $ 3.5 with the strike price of $ 80. What is the intrinsic value? 2. What are the intrinsic value and time value of a CME put with the strike price of $95, if the underlying asset is trading at $94.98 and the option premium is $0.03 ?
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- A. An option is trading at $5.03. If it has a delta of -.56, what would the price of the option be if the underlying increases by $.75? What would the price of the option be if the underlying decreases by $.55? B. What type of option is this and how? C. With a delta of -.56, is this option ITM, ATM or OTM and how?An option is trading at $3.45. If it has a delta of .78, what would the price of the option be if the underlying increases by $.75? A. What would the price of the option be if the underlying decreases by $.55? B. What makes this a call option? C. With a delta of .78, is this option ITM, ATM or OTM and how?Consider two put options on different stocks. The table below reports the relevant information for both options: Put optionTime to maturityCurrent price of underlying stockStrike priceVolatility ( )X1 year$27$1830%Y1 year$25$2030%All else equal, which put option has a lower premium? A.Put option Y B.Put option X
- In 1973, Fischer Black and Myron Scholes developed the Black-Scholes option pricing model (OPM). What assumptions underlie the OPM? Write out the three equations that constitute the model. 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 = 0.49Consider Triple Play’s call option with a $25 strike price. The following table contains historical values for this option at different stock prices: Create a table that shows (a) stock price, (b) strike price, (c) exercise value, (d) option price, and (e) the time value, which is the option’s price less its exercise value. What happens to the time value as the stock price rises? Why?Assume a stock is selling for GH¢48.50 with options available at 40, 50, and 60 strike prices.The 50 call option price is at 2.75.a. What is the intrinsic value of the 50 call?b. Is the 50 call in the money?c. Are the 40 and 60 call options in the money?
- The value of an option is $5.64, its theta is 0.03. What will be the expected price of the option on the following day if the price of the underlying stock does not change?Assume that the value of a call option using the Black-Scholes model is $8.94. The interest rate is 8 percent, and the time to maturity is 90 days. The price of the underlying stock is $47.38, and the exercise price is $45. Calculate the price of a put using the put-call parity relationship.Consider a portfolio that consists of the following four derivatives: 1) a put option written(sold) with strike price K − 5, 2) a call option purchased with strike price K − 5, 3) a call option written(sold) with strike price K + 5, and 4) a put option purchased at strike price K + 5. All options are European.The risk-free rate is rf , the time to expiration is T, the initial stock price is S0, and the stock price atmaturity is ST . What are the payoffs at expiration of this portfolio? What must the price of this portfoliobe?
- 1In follow an Ito process with >0, a stock is worth $80 today, if the price of an option that pays the holder $2 exactly the first time the stock price reaches $200, what is the price of an option? Show all calculation.H2. Using the Black-Scholes model (BSOPM), compute the standard deviation that is implied by the following call option data as: the time to the option's maturity is 0.25 years, the price of the underlying option asset is RM30, the continuously compounded risk-free interest rate is 0.12. the exercise or striking price is RM30, and the cost or premium of the call is RM1.90.