Question 4 Consider the portfolio shown in Table 1 comprised of four over-the-counter options on the Tesla stock. The number of units represents how many of each option is held in this portfolio. The Delta, Gamma and Vega represent the Greeks of a single unit of each option. Assume that you can hold fractional positions of the portfolio and options. Option A (Call) Option B (Call) Option C (Put) Option D (Call) Units 1420 -450 -500- 650 Delta- 0.25 0.33 -0.14 0.56 Gamma 1.22 1.52 2.02 0.72 Vega 0.52 0.1e 0.2 0.34 Table 1 le a) Compute the delta, gamma and vega of the portfolio. What position is needed to make the portfolio delta neutral? b) A new traded option (Option 1) is available on the market with a delta of 0.4, a gamma of 0.5 and a vega of 0.6. What are the positions needed to make the portfolio gamma and delta neutral?- c) 1? Is it possible to make the portfolio gamma, vega and delta neutral using only Option d) Suppose that a second traded option is available (Option 2). The option has a delta of 0.1, a gamma of 0.1 and a vega of 0.4. Use Options 1 and 2 to make the portfolio gamma, vega and delta neutral