PROBLEM 2 The following table shows standard deviations and correlation coefficients
PROBLEM 2
The following table shows standard deviations and correlation coefficients for seven stocks from different countries.
Alcan BP Deutsche Bank Fiat Heineken LVMH Nestle Standard Deviation
Alcan 1,00 0,34 0,53 0,30 0,20 0,53 0,08 29,7%
BP 1,00 0,44 0,26 0,20 0,27 0,29 18,4%
Deutsche Bank 1,00 0,52 0,22 0,56 0,24 30,1%
Fiat 1,00 0,17 0,42 0,26 35,9%
Heineken 1,00 0,33 0,50 17,2%
LVMH 1,00 0,31 31,0%
Nestle 1,00 13,8%
a. Calculate the variance of a portfolio with equal investments in each stock.
b. Your eccentric Aunt Claudia has left you $50,000 in Alcan shares plus $50,000 cash. Unfortunately her will requires that the Alcan stock not be sold for one year and the $50,000 cash must be entirely invested in one of the stocks shown in the above Table. What is the safest attainable portfolio under these restrictions?