Problem 3 (15pt): A financial institution has the following portfolio of over-the-counter options on a specific financial asset: Type Position Delta Gamma Call -1,000 0.5 2.2 Call -500 0.8 0.6 Put - 2,000 -0.4 1.3 Call -500 0.7 1.8 1. (5pt) What position in the underlying asset would make the portfolio delta neutral? 2. (10pt) Suppose that an option on the same underlying asset is available with a delta of 0.6 and a gamma of 1.5. What positions in the underlying asset and in the available option would make the portfolio both delta neutral and gamma neutral?