Greg is bullish on the stock of Google and expects the company to deliver excellent results. The stock of Google is currently trading at Si00 and has volatility 15%. Greg decides to buy a call option on the stock with strike price $110 and expiration three months (t = 0.25). Assume a risk free interest rate of 4%. (5) Compute call option price using Black-Scholes formula. (5) Compute call option price using simulation and Black-Scholes assumptions.

Greg is bullish on the stock of Google and expects the company to deliver excellent results. The stock of Google is currently trading at Si00 and has volatility 15%. Greg decides to buy a call option on the stock with strike price $110 and expiration three months (t = 0.25). Assume a risk free interest rate of 4%. (5) Compute call option price using Black-Scholes formula. (5) Compute call option price using simulation and Black-Scholes assumptions.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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At time t=0 Mr. Anderson sets up a riskless portfolio by taking a position in an option and in the underlying asset. Explain what Mr. Anderson needs to do at time t=1 to keep his portfolio risk neutral and why. A stock price is currently $100 and at the end of four months it will be ST . A derivative written on this stock pays off expST1/3 in four months. Given that u = 1.15, d = 0.87, and that the risk-free interest rate is 10% p.a. (continuously compounded), answer the following questions using a one-period binomial model (show all the details of your calculations and display the results with four decimal places): Calculate the value of ∆ Calculate the current value of the derivative.
An investor decides to implement a STRADDLE using put options using the following data . The price of stock today is $ 59 , time frame is 6months , the staddle is constructed using a put and a call option with a strike price of $ 61 . The call cost $ 4 and put costs $ 3 . a ) What is the profit ( % ) if in 6 months , if the stock price is at $ 70 b ) What is the profit ( % ) if in 6 months , if the stock price is at $ 60 c ) At what stock price in the future , the investor will make the least / min profit ? d ) Why do investors implement / use this strategy ? For what reason ?
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.
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You are bearish on Telecom and decide to sell short 100 shares at the current market price of $49 per share. a. How much in cash or securities must you put into your brokerage account if the broker's initial margin requirement is 50% of the value of the short position? Initial margin b. How high can the price of the stock go before you get a margin call if the maintenance margin is 30% of the value of the short position? (Round your answer to 2 decimal places.) Stock price reaches
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.

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