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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