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A financial institution has the following portfolio of overthecounter options on sterling Type Position Delta of Option Gamma of Option Vega of Option Call

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 .50 2.2 1.8
Call -500 .80 0.6 0.2
Put -2,000 -.40 1.3 0.7
Call -500 .70 1.8 1.4

A traded option is available with a delta of 0.6, a gamma of 1.5, and a vega of 0.8.

(a) What position in the traded option and in sterling would make the portfolio both gamma neutral and delta neutral?

(b) What position in the traded option and in sterling would make the portfolio both vega neutral and delta neutral?

(c) Suppose that a second traded option with a delta of 0.1, a gamma of 0.5, and a vega of 0.6 is available. How could the portfolio be made delta, gamma, and vega neutral?

 

Apr 07 2020 Read more Less More

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