In: Finance
Suppose assets A and B both have return volatility (risk) of 30%, and their returns have a correlation of 0.5. I invested half of my portfolio in A and half in B. What will be the return volatility (risk) of my portfolio?
We see that the standard deviation of the portfolio=sqrt((w1*s1)^2+(w2*s2)^2+2*w1*s1*w2*s2*correlation)=sqrt((0.5*30%)^2+(0.5*30%)^2+2*0.5*30%*0.5*30%*0.5)=25.98076%