(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:
- Sell a call with the strike price of K;
- Buy a put with the same strike price of K;
- Buy a futures for F 0 .
Notice that the short call and long put create a synthetic short futures position.
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(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 - (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.
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