Question
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 | .42 | .38 | .16 | .33 | -.03 | .19 | .50 | |
BP | .42 | 1.00 | .40 | .25 | .26 | .12 | .41 | .29 | |
Fiat | .38 | .40 | 1.00 | .17 | .19 | -.10 | .44 | .32 | |
Heineken | .16 | .25 | .17 | 1.00 | .17 | .44 | .37 | .26 | |
Korea Electric | .33 | .26 | .19 | .17 | 1.00 | .01 | .16 | .13 | |
Nestl | -.03 | .12 | -.10 | .44 | .01 | 1.00 | .23 | .08 | |
Sony | .19 | .41 | .44 | .37 | .16 | .23 | 1.00 | .19 | |
Tata Motors | .50 | .29 | .32 | .26 | .13 | .08 | .19 | 1.00 | |
Standard deviation (%) | 19.80 | 29.10 | 43.06 | 18.04 | 27.83 | 9.70 | 44.84 | 39.11 | |
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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