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A financial institution has the following portfolio of over-the-counter options on sterling: Vega of Option Type Call Call Put Call Position -1,000 -500 -2,000 -500

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A financial institution has the following portfolio of over-the-counter options on sterling: Vega of Option Type Call Call Put Call Position -1,000 -500 -2,000 -500 Delta of Option 0.5 0.8 1.8 Gamma of Option 2.2 0.6 0.2 1.3 -0.4 0.7 0.7 1.4 1.8 There are two traded options available in the market, one with a delta of 0.85, a gamma of 1.25, and a vega of 0.6, and the second one with a delta of 0.5, a gamma of 0.9, and a vega of 0.7. A)Calculate the delta, gamma and vega of the portfolio. B)What position in the traded option and in Sterling would make the portfolio delta-gamma-vega neutral? C)If there were just one traded option available would you be able to make this portfolio delta-gamma-vega neutral? Explain. A financial institution has the following portfolio of over-the-counter options on sterling: Vega of Option Type Call Call Put Call Position -1,000 -500 -2,000 -500 Delta of Option 0.5 0.8 1.8 Gamma of Option 2.2 0.6 0.2 1.3 -0.4 0.7 0.7 1.4 1.8 There are two traded options available in the market, one with a delta of 0.85, a gamma of 1.25, and a vega of 0.6, and the second one with a delta of 0.5, a gamma of 0.9, and a vega of 0.7. A)Calculate the delta, gamma and vega of the portfolio. B)What position in the traded option and in Sterling would make the portfolio delta-gamma-vega neutral? C)If there were just one traded option available would you be able to make this portfolio delta-gamma-vega neutral? Explain

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