As chief investment officer of a small endowment fund, you are considering expanding the fund's strategic asset allocation from just common stock $($CS$)$ and fixed$-$income $($FI$)$ to include private real estate partnerships $($PR$)$ as well:

Current Allocation: $60$ percent of Asset CS$,40$ percent of Asset FI

Proposed Allocation: $50$ percent of Asset CS$,30$ percent of Asset FI$,20$ percent of Asset PR

You also consider the following historical data for the three risky asset classes $($CS$,$ FI$,$ and PR$)$ and the risk$-$free rate $($RFR$)$ over a recent investment period:

$\backslash$table$[[,,r_{ij}$:$,],[$Asset Class,$E(R),,CS,FI,PR$