You want to create a portfolio equally as risky as the market, and you have $1,000,000 to invest. Given this information, fill in the rest of the following table: (Do not round intermediate calculations. Round your answers to the nearest whole number, e.g., 32.) |
Asset | Investment | Beta | ||
Stock A | $ 195,000 | .90 | ||
Stock B | $ 340,000 | 1.15 | ||
Stock C | $ | 1.29 | ||
Risk-free asset | $ |
Let investment in Stock C=$x
Hence investment in risk free asset=1,000,000-(195000+340,000+x)
=(465000-x)
Portfolio beta=Respective betas*Respective weights
1=(195000/1,000,000*0.90)+(340,000/1,000,000*1.15)+(x/1,000,000*1.29)+(465000-x)/1,000,000*0[Beta
of risk free assets=0]
1=0.5665+(x/1,000,000*1.29)
x=(1-0.5665)*1,000,000/1.29
=$336,047(Approx)=investment in Stock C
Hence investment in risk free asset=(465000-336047)=$128,953(Approx).
Beta of risk free asset=0.
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