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A portfolio of options on the EURO (EUR) has a delta of -200 and gamma of -150. A traded option with a delta of 0.8

A portfolio of options on the EURO (EUR) has a delta of -200 and gamma of -150. A traded option with a delta of 0.8 and gamma of 1.5 is available. What position in the traded option and EUR would make the portfolio both delta and gamma neutral? :

a. a long position in 100 EUR and a long position in 200 traded options

b. a long position in 100 EUR and a long position in 100 traded options

c. a long position in 120 EUR and a long position in 100 traded options

d. a long position in 200 EUR and a long position in 150 traded options

e. a short position in 200 EUR and a long position in 200 traded options

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