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York University - MFIN 5800 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
York University - MFIN 5800
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 |
A traded option is available with a delta of 0.6, a gamma of 1.5, and a vega of 0.8.
- What position in the traded option and in sterling would make the portfolio both gamma neutral and delta neutral?
- What position in the traded option and in sterling would make the portfolio both vega neutral and delta neutral?
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