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A financial institution has the following portfolio of over-the-counter options on sterling: Type Position Delta of option Gamma of option Vega of option Call -1,000

A financial institution has the following portfolio of over-the-counter options on sterling:

Type

Position

Delta of option

Gamma of option

Vega of option

Call

-1,000

0.50

2.2

1.8

Call

-500

0.80

0.6

0.2

Put

-2,000

-0.40

1.3

0.7

Call

-500

0.70

1.8

1.4

Suppose that a traded option is available with a delta of 0.8, a gamma of 1.2, and a vega of 0.9. Suppose also that a second traded option with a delta of 0.2, a gamma of 0.4, and a vega of 0.7 is available. How could the portfolio be made delta, gamma, and vega neutral simultaneously?

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