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This is a problem that has THREE questions. Therefore, please choose THREE answers (one choice for each question) to get full credit for this questions.

  1. This is a problem that has THREE questions. Therefore, please choose THREE answers (one choice for each question) to get full credit for this questions.

    The current price of a non-dividend-paying stock is $50 and the volatility of a non-dividend paying stock is 20% per annum.

    Use a two-step tree to value an American put option on the stock with a strike price of 52 that expires in 1 year. Each step is 6 months, the risk-free rate is 7% per annum with continuous compounding.

    1. Which of the following is closest to the Cox, Ross, Rubinstein parameter u for a tree with a 6-month time step?

    2. What is the risk-neutral probability?

    3. What is the value of the American put option?

    #1. u= 1.5692

    #1. u= 1.1519

    #1. u= 1.2575

    #2. p= 0.8525

    #2. p=0.6214

    #2. p=0.5902

    #3. American put value = $3.85

    #3. American put value = $3.19

    #3. American put value = $3.55

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