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A financial institution has the following portfolio of over-the-counter options on an underlying asset: Type Position Delta of Option Gamma of Option Vega of Option

A financial institution has the following portfolio of over-the-counter options on an underlying asset:

Type Position Delta of Option Gamma of Option Vega of Option
Call -700 0.4 2.0 1.6
Call -600 0.7 0.5 0.4
Put -200 -0.3 1.4 0.8
Call -400 0.6 1.9 1.3

A traded option is available with a delta of 0.8, a gamma of 1.4, and a vega of 0.7.

  1. Can the portfolios vega be changed by taking a position in the underlying asset? Explain your answer. (2 mark)
  2. Estimate delta, gamma and vega of the portfolio (4 marks)
  3. How could the portfolio be made delta and vega neutral? (round your answers for the option contracts to the nearest whole number) (4 marks)

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