Question 663558:  The following table describes the asset allocation of your portfolio with the corresponding return in percentage, X, and the proportion of that specific asset in the portfolio, P(X).
 
 
Money Market: X=10% , P(X)=.10 
Short Term Securities: X=15% , P(X)=.10 
Long Term Debt: X=25% , P(X)=.20 
Large Cap Equity: X=25% , P(X)=.35 
Small Cap Equity: X=15% , P(X)=.15 
International Equity: X=10% , P(X)=.10
 
Calculate the E(X) for this portfolio.
 
Calculate the E{ [X-E(X)] 2} for this portfolio.
 
<< This is just one sample problem for my homework. I cannot seem to understand the process to answering these questions. Please show all formulas and calculations so that I can learn from this >> 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! Money Market: X=10% , P(X)=.10 
Short Term Securities: X=15% , P(X)=.10 
Long Term Debt: X=25% , P(X)=.20 
Large Cap Equity: X=25% , P(X)=.35 
Small Cap Equity: X=15% , P(X)=.15 
International Equity: X=10% , P(X)=.10  
Calculate the E(X) for this portfolio. 
Procedure: Multiply each x value by its P(x) value 
then add those products to get E(x) 
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Calculate the E{ [X-E(X)] 2} for this portfolio.  
Multiply each (x-E(x))^2 by its P(x) 
then add those products to get E[x-E(x))^2] 
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cheers, 
Stan H. 
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