Question

LetthepricesofanEuropeancallandputoptionswiththesamestrikepriceKandthesamematurity date T, at current time t, be c and p respectively. The current price of...

  1. LetthepricesofanEuropeancallandputoptionswiththesamestrikepriceKandthesamematurity date T, at current time t, be c and p respectively. The current price of the stock is S. The risk free interest rate is r . Use the put–call parity relationship to derive the relationship between:

    (a) ThedeltaofanEuropeancallandthedeltaofanEuropeanput.

    (b) The gamma of an European call and the gamma of an European put. What is meant by the gamma of an option position?

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