Data: S0 = 102; X = 115; 1 + r = 1.1. The two possibilities for ST are 146 and 84. Required: The range of S is 62 while that of P is 31 across the two states. What is the hedge ratio of the put? Form a portfolio of one share of stock and two puts. What is the (nonrandom) payoff to this portfolio? What is the present value of the portfolio? Given that the stock currently is selling at 102, calculate the put value.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 13QTD
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Data: S0 = 102; X = 115; 1 + r = 1.1. The two possibilities for ST are 146 and 84.

Required:

  1. The range of S is 62 while that of P is 31 across the two states. What is the hedge ratio of the put?
  2. Form a portfolio of one share of stock and two puts. What is the (nonrandom) payoff to this portfolio?
  3. What is the present value of the portfolio?
  4. Given that the stock currently is selling at 102, calculate the put value.
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