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The current price of a non-dividend paying stock is 40 and the continuously compounded risk-free rate of return is 8%. The following table shows call

  1. The current price of a non-dividend paying stock is 40 and the continuously compounded risk-free rate of return is 8%. The following table shows call and put option premiums for three-month European options of various exercise prices. A trader is considering two investment strategies. The first is a long 40-strike call and long a 40-strike put. The second is long a 35-strike put and long a 45-strike call. Assume one option is on one share.

Call K=35

Call K=40

Call K=45

Put K=35

Put K=40

Put K=45

Premium

6.13

2.78

0.97

0.44

1.99

5.08

  1. Please show the payoff and profit table and draw the diagram (payoff and profit) for both strategies. Assume ST is the stock price in 3-month. (6 points)

  1. Determine the range of stock prices in 3 months for which the second strategy outperforms the first strategy. (4 points)

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