Stock A has an expected return of 8%, stock B has an expected return of 2%, and the return on Treasury-Bills is 4%. You buy $200 of A, short $100 of B and invest the short proceeds in Treasury Bills. What is the expected return of your portfolio?

The expected return of your portfolio is 6.02%

Explanation:

Stock     Value     Expected Rate of return   Weightage

  A          $200                   8%                      $200/$300 = 0.67

  B          $100                    2%                      $100/$300 = 0.33

Expected Rate of return = ( Expected rate of return Stock A x Weightage of Stock A ) + ( Expected rate of return Stock B x Weightage of Stock B )

Expected Rate of return = ( 8% x 0.667 ) + ( 2% x 0.33 )

Expected Rate of return = 0.0536 + 0.0066 = 0.0602 = 6.02%

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