Consider a put option on a stock that currently sells for £100, but may rise to £120 or fall to £80 after 1 year. The risk free rate of return is 10%, and the exercise price is £90. (c) What is the price of a call option on the same stock with the same exercise price and the same expiration date? Explain the reasoning behind your calculations.

Consider a put option on a stock that currently sells for £100, but may rise to £120 or fall to £80 after 1 year. The risk free rate of return is 10%, and the exercise price is £90. (c) What is the price of a call option on the same stock with the same exercise price and the same expiration date? Explain the reasoning behind your calculations.

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 3MC: Consider Triple Play’s call option with a $25 strike price. The following table contains historical...

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Consider a put option on a stock that currently sells for £100, but may rise to £120 or fall to £80 after 1 year. The risk free rate of return is 10%, and the exercise price is £90. (b) Calculate the value of the put option by using first principles (No Arbitrage prin- ciples). Explain the reasoning behind your calculations.
Consider a put option on a stock that curretly sclls for £100, but may rise to £120 or fall to £80 after 1 year. The risk free rate of return is 10%, and the exercise price is £90. (a) Calculate the value of the put option using the risk-neutral valuation relationship (RNVR). Explain the reasoning behind your calculations. (b) Calculate the value of the put option by using first principles (No Arbitrage prin- ciples). Explain the reasoning behind your calculations. (c) What is the price of a call option on the same stock with the same exercise price and the same expiration date? Explain the reasoning behind your calculations.
You are interested to value a put 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 either increases to $120 or decreases to $80. The risk-free rate of interest is 10%. Calculate the put option's value using the binomial pricing model, presenting your calculations and explanations as follows: a. Draw tree-diagrams to show the possible paths of the share price and put payoffs over one year period. (Note: Show the numbers that are known and use letter(s) for what is unknown in your diagrams.) b. Compute the hedge ratio. c. Find the put option price. Explain your calculations clearly. d. Use put-call parity, find the price of a call option with the same exercise price and the same expiration date.
Give typing answer with explanation and conclusion A call option has a strike price of $11, and a time to expiration of 0.8 in years. If the stock is trading for $20, N(d1) = 0.5, N(d2) = 0.12, and the risk free rate is 5.40%, what is the value of the call option?
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 = 0.49
Consider 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?
Suppose that a call option with a strike price of $48 expires in one year and has a current market price of $5.17. The market price of the underlying stock is $46.25, and the risk-free rate is 1%. Use put-call parity to calculate the price of a put option on the same underlying stock with a strike of $48 and an expiration of one year. The price of a put option on the same underlying stock with a strike of $48 and an expiration of one year is $. (Round to the nearest cent.)
Suppose you construct a strategy based on options on a stock that is currently selling for $100. The strategy is as follows: Buy one call option having an exercise price of $95. Sell two calls having an exercise price of $100. Buy one call option having an exercise price of $105. All of the options are written on the same stock and all have the same expiration date. Compute the payoff (the dollars you receive) from this strategy at the expiration date for each of the following alternative stocks prices: $90, $95, $98, $100, $102, $105, and $110. What additional information would be required to determine whether your strategy had been profitable? What is the name of this strategy?
You are pricing options with the following characteristics: •Current stock price (St): $35.60 •Exercise price (X): $50 •Time to expiration (T-t): 9 months •Risk-free rate (rf): 3.25% •Volatility (0): 45% (a): What is the Black-Scholes value of call option? In your hand-written solution, provide the calculations of d1,d2, and the final call price. Use Excel or another spreadsheet program to compute the values of N(d1) and N(d2). See the notes for details. (b): Using put-call parity, what is the value of a put option? For this case, assume continuous compounding, which implies that PVt(X)=e-r(T-t).X.
Consider the following options portfolio. You write an August expiration call option on IBM with exercise price $150. You write an August IBM put option with exercise price $145.a. Graph the payoff of this portfolio at option expiration as a function of IBM’s stock price at that time.b. What will be the profit/loss on this position if IBM is selling at $153 on the option expiration date? What if IBM is selling at $160? c. At what two stock prices will you just break even on your investment?d. What kind of “bet” is this investor making; that is, what must this investor believe about IBM’s stock price to justify this position?
Consider a European call option on a non-dividend-paying stock where the stock price is $40, the strike price is $40, the risk-free rate is 4% per annum, the volatility is 30% per annum, and the time to maturity is 6 months. (a) Calculate u, d, and p for a two-step tree. (b) Value the option using a two-step tree.
Consider a European call option struck "at-the-money", meaning the strike price equals current stock price. There is one year until expiration and the risk-free annual interest rate is r = 0.06. We define the call option's "delta" as aCE(S,t) A as Is it possible to determine whether or not the call option's delta is greater than or less than 0.5?