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A portfolio consists of the following stocks: Stock Beta Current Value Disney 2.

ID: 2703751 • Letter: A

Question

A portfolio consists of the following stocks:

                   Stock                     Beta       Current Value

            Disney                         2.0           $30,000

            ATK                            0.7           $33,000

            Coke A Cola               0.5           $28,000

            Merck                          1.7           $26,000

                                                    Total:   $117,000

a.  Find the beta of the portfolio?

b.  You want to sell Merck for $26,000 and use the proceeds to buy $26,000 of Johnson stock with a beta of 1.5. After the transaction is complete, what will be the new beta of the portfolio?  no commissions are considered in this.

Explanation / Answer

a. beta of the portfolio = [(2x30000)+(0.7x33000)+(0.5x28000)+(1.7x26000)]/117,000

= 141300/117000

=1.2077

b. new beta = [(2x30000)+(0.7x33000)+(0.5x28000)+(1.5x26000)]/117,000

= 136100/117000

=1.16325


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