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A financial institution has the following portfolio of over-the-counter options on Canadian dollar: 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 Canadian dollar:
Type | Position | Delta of Option | Gamma of Option | Vega of Option |
Call | 1,100 | 0.55 | 2.3 | 1.7 |
Call | 550 | 0.82 | 0.7 | 0.2 |
Put | 2,100 | 0.43 | 1.2 | 0.8 |
Call | 550 | 0.71 | 1.7 | 1.5 |
The delta of the portfolio is -543.50, the gamma is -6,370 and the vega is -4,485.
A traded option is available with a delta of 0.6, a gamma of 1.82, and a vega of 0.75.
What position in the traded option and Canadian dollar would make the portfolio both gamma neutral and delta neutral?
- The investor will have to take a ________ ( answer) position in traded options to make the portfolio gamma-neutral.
- The amount of traded options that the investor will need to make the portfolio gamma-neutral is _____ ( answer)
- The delta of the whole portfolio (including traded options) is _______( answer).
- The investor will therefore require an additional __________ ( answer) position in Canadian dollars to make the portfolio both gamma and delta neutral.
- The amount of Canadian dollars required to make the portfolio both gamma and delta neutral is CAD ______ ( answer).
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