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##### GMBA 767 Ch 22 Problem 5 -ARB Inc.

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**Question**

Question;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%.

Paper#49069 | Written in 18-Jul-2015

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