Question;5. Consider the following questions on the pricing of options on the stock of ARB Inc.:a- A share of ARB stock sells for $75 and has a standard deviation of returns equal to 20% per year. The current risk-free rate is 9% and the stock pays two dividends: (1) a 2% dividend just prior to the option?s expiration day, which is 91 days from now (i.e., exactly one half year). Calculate the black-Scholes value for European-style call option with an exercise price of $70.b- What would be the price of a 91-day European-style option on ARB stock having the same exercise price?c- Calculate the change in the call option?s value that would occur if ARB?s management suddenly decided to suspend dividend payments and this action had no effect on the price of the company?s stock.d- Briefly describe (without calculations) how your answer in part a would differ under the following separate circumstances: (1) the volatility of ARB stock increases to 30%, and (2) the risk free rate decreases to 8%.c. Besides volatility estimation error, explain why your valuation and the option?s traded price might differ from one another.10- Melissa Simmons is the chief investment officer of a hedge fund specializing in options trading. She is currently back testing various option trading strategies that will allow her to profitfrom large fluctuations-either up or down-in a stock?s price. An example of such typical trading strategy is straddle strategy that involves the combination of a long call and a long put with an identical strike price and time to maturity. She is considering the following pricing information on securities associated with friendwork, a new internet start-up hosting a leading online social network:Friendwork stock: $100Call option with an exercise price of $100 expiring in one year: $9Put option with an exercise price of $100 expiring in one year: $8a. Use the above information on friendwork and draw a diagram showing the net profit/loss position at maturity for the straddle strategy. Clearly label on the graph the break-even points of the position.b. Melissa?s colleague proposes another lower-cost option strategy that would profit from a large fluctuation in friendwork?s stock price:Long call option with an exercise price of $110 expiring in one year: $6Long put option with an exercise price of $90 expiring in one year: $5Similar to part a, draw a diagram showing the net profit/loss position for the above alternative option strategy. Clearly label on the graph the breakeven points of the position.
Paper#47660 | Written in 18-Jul-2015Price : $37