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Your eccentric Aunt Claudia has left you $50,000 in BP shares plus $50,000 cash. Unfortunately her will requires that the BP stock not be sold

Your eccentric Aunt Claudia has left you $50,000 in BP shares plus $50,000 cash. Unfortunately her will requires that the BP stock not be sold for one year and the $50,000 cash must be entirely invested in one of the stocks shown below. The table provides estimates of the standard deviations of returns for each stock and the correlation between the returns of each pair of stocks.

BHP BP Fiat Chrysler Heineken Korea Electric Nestl Sony Tata Motors
BHP 1.00 .26 .42 .40 .17 .40 .12 .34
BP .26 1.00 .34 .17 .12 .33 .49 .17
Fiat Chrysler .42 .34 1.00 .09 .10 .02 .36 .07
Heineken .40 .17 .09 1.00 .25 .52 .29 .34
Korea Electric .17 .12 .10 .25 1.00 .01 .16 .13
Nestl .40 .33 .02 .52 .01 1.00 .23 .08
Sony .12 .49 .36 .29 .16 .23 1.00 .19
Tata Motors .34 .17 .07 .34 .13 .08 .19 1.00
Standard deviation (%) 27.80 37.10 51.06 14.04 35.83 11.30 48.04 41.51

a. Calculate the portfolio variance for seven different portfolios. (Use decimals, not percents, in your calculations. Do not round intermediate calculations. Enter your answers as a decimal rounded to 5 places.)

Portfolio Variance
BHP
Fiat Chrylser
Heinkenen
Korea Electric
Nestl
Sony
Tata Motors

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