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A British financial institution has written 1,300 call options and written 2,600 put options on the euro (EUR). (Each option is to buy or sell 1 EUR.) The call options have a delta of 0.6 and gamma of 1.5, while the put options have a delta of -0.4 and gamma of 1.1.
Problem i) Calculate the portfolio's delta and gamma
Problem ii) Show how the institution can take a position in the currency and use an exchange-traded put option on the EUR with a delta of -0.5 and gamma of 1.3 to make its portfolio delta and gamma neutral.
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