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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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