You want to create a portfolio equally as risky as the market, and you have $1,800,000 to invest. Given this information, fill in the rest of the following table: (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations.)
asset | investment | beta |
stock A | $396,000 | 1.20 |
stock B | $504,000 | 1.40 |
stock C | 1.60 | |
risk free asset |
Let investment in C=$x
Hence investment in risk free asset=1,800,000-(396,000+504,000+x)=$(900,000-x)
Portfolio beta=Respective beta*Respective weight
1=(396,000/1,800,000*1.2)+(504,000/1,800,000*1.4)+(x/1,800,000*1.6)+(900,000-x)/1,800,000*0[Beta of market=1;Beta of risk-free assets=0]
1=0.656+(x/1,800,000*1.6)
x=(1-0.656)*1,800,000/1.6
=$387,000=investment in C
Hence investment in risk free asset=$(900,000-x)
=$513,000
Beta of risk free assets=0
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