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Suppose the current price is $50 per share. The stock price might go up to $80 per share or go down to $20 per share.
a. Can you derive the payoff of purchasing an European stock PUT option with exercise price $50 for one share?
b. Come up with a risk free portfolio that consists of the stock and the PUT option?
c. Based on the risk free portfolio, derive the no arbitrage premium for the European stock PUT option?
Assume sigma=0.15, nu=0.10, and current stock price $32. Monthly interest rate is 1%. Compute present values of the following options expiring in 3 months. (a) A European call option with strike $30, assuming $2 dividend in 40 days.
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Micro Tech Corporation is expanding rapidly and currently needs to retain all of its earnings; hence, it does not pay dividends. However, investors expect Micro tech to begin paying dividends, beginning with a dividend of $1.25 coming 3 years from to..
You plan to go to Asia to visit friends in three years. The trip is expected to cost a total of $10,000 at that time. Your parents have deposited $5,000 for you in a Certificate of Deposit paying 6% interest annually, maturing three years from now.
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