(Solution Library) Consider the following portfolio: Sell a call with the strike price of K; Buy a put with the same strike price of K; Buy a futures for


Question: Consider the following portfolio:

  1. Sell a call with the strike price of K;
  2. Buy a put with the same strike price of K;
  3. Buy a futures for F 0 .

Notice that the short call and long put create a synthetic short futures position.

  1. (8 pts) Using the following table to derive the riskless payoff of this portfolio at maturity (i.e., ignore the premium for now).
    F T > K F T < K
    Short Call
    Long Put
    Long Futures
    Portfolio Payoff
  2. (7 pts) Assume the put and call premiums are P and C, respectively. What is the cost of this portfolio? Assume the remaining time to expiration is T and thus the continuous discounting factor is \({{e}^{-rT}}\) . Write up the put-call parity and explain the intuition.

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document

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