Question

Consider a portfolio of stocks X, Y, Z whose returns in various economic conditions are set forth below.

Answer 1

Answer:

The expected return is 10.95%

Explanation:

CALCULATE THE EXPECTED RETURN OF X

State _____Probability __X_____Expected return

Boom ____ 0.25 ______22%  ___5.50%

Normal ___ 0.60 ______15%  ___ 9.00%

Recession _0.15 _______5% ___ 0.75%  

Total ______________________15.25%

CALCULATE THE EXPECTED RETURN OF Y

State _____Probability __Y_____Expected return

Boom ____ 0.25 ______10%  ___ 2.50%

Normal ___ 0.60 ______9%  ____5.40%

Recession _0.15 _______8% ___ 1.20%  

Total ______________________9.10%

Now calculate the weighted average return based on investment in each portfolio

Expected return = ( Expected return of Assets X x Weight of Asset X ) + ( Expected return of Assets Y x Weight of Asset Y )  

Expected return = ( 15.25% x $3000/$10000 ) + ( 9.10% x $7000/$10000 )  

Expected return = 4.575% + 6.370%

Expected return = 10.945%

Expected return = 10.95%