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. Units Delta 1420 0.25 Option A (Call) 0 tion B Call -450 0.33 o mi 0 tion D Call _ Table 1 a) Compute the delta, gamma and vega of the portfolio. What position is needed to make the portfolio delta neutral? [4 marks] 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? [4 marks] o) Is it possible to make the portfolio gamma, vega and delta neutral using only Option 1'? [3 marks] 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. [4 marks]