Question

In: Accounting

You want to create a portfolio equally as risky as the market, and you have $1,100,000...

You want to create a portfolio equally as risky as the market, and you have $1,100,000 to invest. Consider the following information:

  

Asset Investment Beta
Stock A $275,000 0.60
Stock B $220,000 1.25
Stock C 1.45
Risk-free asset

  

Required:
(a) What is the investment in Stock C? (Do not round your intermediate calculations.)

  

(b) What is the investment in risk-free asset? (Do not round your intermediate calculations.)

Solutions

Expert Solution

a. Investment in stock C = $    4,55,172
b. Investment in stock Risk - free - assets = $    1,49,828
Workings:
Asset Investment Beta Weight
(i) (ii) (i)*(ii)
Stock A $   2,75,000 0.6 $                                 1,65,000
Stock B $   2,20,000 1.25 $                                 2,75,000
Stock C X 1.45 1.45 X
Risk - free - assets 0 0
Total $ 11,00,000 0
$165000 + $275000 + 1.45X
*Beta of risk - free - assets is zero
Also
$                                                        11,00,000 = ($165000 + $275000 + 1.45X)
1.456 X = $    6,60,000
X = $    4,55,172
Stock C = $    4,55,172
Risk - free - assets
Total stock value = $ 11,00,000
Less: Stock A = $    2,75,000
Less: Stock B = $    2,20,000
Less: Stock C = $    4,55,172
Risk - free - assets = $    1,49,828

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