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4. Monte Carlo VaR calculation A portfolio consisting of 100 shares of Apple and 150 share of IBM is purchased when the Apple price was

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4. Monte Carlo VaR calculation A portfolio consisting of 100 shares of Apple and 150 share of IBM is purchased when the Apple price was $206.64 and the price of IBM was $134.25. Our empirical estimation of the Apple and IBM prices in 1 week gives the following 10 equally likely possibilities for the pair of prices: ID Apple 1 210.34 2 200.61 3 204.43 4 202.12 5 203.47 6 206.92 7 206.65 8 203.64 9 207.10 10 | 211.15 IBM 135.66 130.87 131.29 132.48 134.09 136.23 136.89 135.44 137.68 142.38 What are the 1 week 90th, 80th, 70th and 60th percentile VaR and ES of the portfolio? 4. Monte Carlo VaR calculation A portfolio consisting of 100 shares of Apple and 150 share of IBM is purchased when the Apple price was $206.64 and the price of IBM was $134.25. Our empirical estimation of the Apple and IBM prices in 1 week gives the following 10 equally likely possibilities for the pair of prices: ID Apple 1 210.34 2 200.61 3 204.43 4 202.12 5 203.47 6 206.92 7 206.65 8 203.64 9 207.10 10 | 211.15 IBM 135.66 130.87 131.29 132.48 134.09 136.23 136.89 135.44 137.68 142.38 What are the 1 week 90th, 80th, 70th and 60th percentile VaR and ES of the portfolio

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