"Sydney has a portfolio with 50 shares of AAA with a current value of $20 per share, a return of 12%, and a beta of 1.30. She also has 25 shares of BBB with a return of 10%, a 0.80 beta, and currently priced at $60 per share. Finally she owns 75 shares of CCC priced at $50 per share, with a 1.1 beta and a 14% return. What is the weighted average portfolio return of Sydney s portfolio

12.72%

Explanation:

Given the following information ;

50 Shares of AAA at $20 and expected returns of 12%

25 Shares of BBB at $60 and expected returns of 10%

75 Shares of CCC at $50 and expected returns of 14%

Total value of the portfolio ;

Total Portfolio Value = ( 50×20 ) + ( 25×60 ) + ( 75×50 )

= 1000 + 1500 + 3750 = $6,250

Weight of each share in the portfolio;

Weight of Stock AAA = ( 50×20 ) / 6250 = 0.16

Weight of Stock BBB = ( 25×60 ) / 6250 = 0.24

Weight of Stock CCC = ( 75×50 ) / 6250 = 0.60

Expected return on portfolio is calculated thus;

Expected Portfolio Return = ( Weight of AAA×Expected Returns ) + ( Weight of BBB×Expected Returns ) + ( Weight of CCC×Expected Returns )

Expected Portfolio Return = ( 0.16×0.12 ) + ( 0.24×0.10 ) + ( 0.60×0.14 )

Expected portfolio return = (0.0192+0.024+0.084) = 0.1272

0.1272 = 12.72%

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