Covariance matrix for the logs of the asset prices: 0.0810 0.0450 -0.0540 0.2160 -0.2520 0.0450 0.0290 -0.0100 0.1000 -0.1420 -0.0540 -0.0100 0.7610 -0.8440 -0.2420 0.2160 0.1000 -0.8440 1.3010 -0.4460 -0.2520 -0.1420 -0.2420 -0.4460 1.8130 Expected values of the logs of the asset prices: 0.1000 3.5000 0.9000 1.3000 0.7000 European puts in the portfolio: Asset strike quantity (negative means short position) 1 1 1000 1 .9 -1000 2 30 100 3 4 500 4 4 -500 5 2 300 5 1.5 300