4. From Hull p347 15.24 A financial institution has the following portfolio of over the counter options on sterling Position -1000 -500 2000 -500 Delta 0.5 0.8 -0.4 0.7 Gamma 2.2 0.6 Vega call 0.2 0.7 Put call A traded option is available with a delta of 0.6, a gamma of 1.5, vega of 0.8 (a) What position in the traded option and in sterling would make the portfolio both gamma neutral and delta neutral? (b) What position in the traded option and in sterling would make the portfolio boyh vega neutral and delta neutral