You are creating a portfolio of Stock D and Stock BW (from earlier).
You are
investing $2,000 in Stock BW and $3,000 in Stock D.
The expected return and
standard deviation of Stock D is 8% and 10.65% respectively.
The correlation
coefficient between BW and D is 0.75.What is the expected return and standard
deviation of the portfolio?
Assuming the ex pected return and standard deviation of stock BW is 9% and 13.15% respectively;
(i) Determining the portfolio expected return
"W_{BW}=\\frac{\\$2,000}{\\$5,000}=0.4"
"W_D=\\frac{\\$3,000}{\\$5,000}=0.6"
"R_P=(W_{BW})(R_{BW})+(W_D)(R_D)"
"=(0.4)(9\\%)+(0.6)(8\\%)"
"=8.4\\%"
(ii)
Determining portfolio standard deviation
Two-asset portfolio:
determining the portfolio standard deviation
"S_p=\\sqrt{0.0028+0.0025+0.0025+0.0041}"
"=\\sqrt{0.0119}"
"=0.1091"
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