Bill Dukes has $100,000 invested in a 2-stock portfolio. $32,500 is invested in Stock X and the remainder is invested in Stock Y. X's beta is 1.50 and Y's beta is 0.70. What is the portfolio's beta

0.98

Explanation:

Computation for Bill Duke portfolio's beta

First step is to find the Investment in Y which is:

Investment in Y=100,000-35,000

=$65,000

Second step is to calculate for the Portfolio beta using this formula

Portfolio beta=Respective beta*Respective Investment weight

Portfolio beta =(35,000/100,000*1.5)+(65,000/100,000*0.7)

Portfolio beta=(0.35*1.5) +(0.65*0.7)

Portfolio beta =0.525 +0.455

Portfolio beta=0.98

Therefore the Portfolio Beta will be 0.98

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