What is the standard deviation of the returns on a portfolio that is invested in stocks A, B, and C? Twenty five percent of the portfolio is invested in stock A and 40 percent is invested in stock C.

A)6.31 percent
B)6.49 percent
C)7.40 percent
D) 7.83 percent
E)8.72 percent

Question

What is the standard deviation of the returns on a portfolio that is invested in stocks A, B, and C? Twenty five percent of the portfolio is invested in stock A and 40 percent is invested in stock C.

A)6.31 percent 
B)6.49 percent 
C)7.40 percent 
D) 7.83 percent 
E)8.72 percent

Quizplus · Accepted Answer

E(r)_Boom = (0.25 F1F1F1S1F1F1F10 0.17) + (0.35 F1F1F1S1F1F1F10 0.06) + (0.40 F1F1F1S1F1F1F10 0.22) = 0.1515E(r)_Normal = (0.25 F1F1F1S1F1F1F10 0.08) + (0.35 F1F1F1S1F1F1F10 0.10) + (0.40 F1F1F1S1F1F1F10 0.15) = 0.115E(r)_Bust = (0.25 F1F1F1S1F1F1F10 -0.03) + (0.35 F1F1F1S1F1F1F10 0.19) + (0.40 F1F1F1S1F1F1F10 -0.25) = -0.041E(r)_Portfolio = (0.05 F1F1F1S1F1F1F10 0.1515) + (0.55 F1F1F1S1F1F1F10 0.115) + (0.40 F1F1F1S1F1F1F10 -0.041) = 0.054425Var_Portfolio = [0.05 F1F1F1S1F1F1F10 (0.1515 - 0.054425)²] + [0.55 F1F1F1S1F1F1F10 (0.115 - 0.054425)²] + [0.40 F1F1F1S1F1F1F10 (-0.041 - 0.054425)²] = 0.006132Std dev = F1F1F1S1F1F1F10.006132 = 7.83 percent

What Is the Standard Deviation of the Returns on a Portfolio