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# 1. What is the profit of a call option with a strike price of \$190 and a stock price at expiration equal to \$200 if the call premium was initially

1.    What is the profit of a call option with a strike price of \$190 and a stock price at expiration equal to \$200 if the call premium was initially \$3.50?

2.    When buying a protective put, your payoff will always be equal to:

3.    What is the time value of a call option costing \$6 with a strike price of \$32 and a spot price of \$36?

4.    What is the risk-free arbitrage profit available if a one-year option pair has a strike price of \$60, a spot price of \$62, a call premium of \$5, a put premium of \$2, and a risk-free rate of 4%?

5.    What is your risk-free arbitrage profit available if a six-month option pair has a strike price of \$150, a spot price of \$147, a call premium of \$10, a put premium of \$11, and the risk-free rate is 6%?

6.    What should you do if you come across a 2-year option pair with a strike price of \$100, a spot price of \$100, a call premium of \$22, a put premium of \$15, and the risk-free rate is 5%?

7.    What option strategy would be best if you believe there is a good chance for either large gains or large losses in the underlying stock over the next 6 months? Justify your answer.

8.    Consider the following: S0 = 100; X = 110; rf = 10%; The two possibilities for ST are 130 and 80. What is the hedge ratio of a put option?

9.    Consider the question above: Form a portfolio of 3 shares of stock and 5 put options. What is the nonrandom payoff to this portfolio?

10. Consider the above: What is the present value of the portfolio?

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