Question

In: Finance

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

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:

AssetInvestmentBeta
Stock A180,0000.85
Stock B290,0001.40
Stock C
1.45
Risk free-rate

Solutions

Expert Solution

The amount in stock c is computed as follows:

Beta of stock A x weight of stock A + Beta of stock B x weight of stock B + Beta of Stock C x weight of stock C + Beta of risk free asset x Weight of risk free asset = Beta of market

0.85 x $ 180,000 / $ 1,000,000 + 1.40 x $ 290,000 / $ 1,000,000 + 1.45 x weight of stock C + 0 = 1

0.153 + 0.406 + 1.45 x Amount invested in stock C / $ 1,000,000 = 1

1.45 x Amount invested in stock C / $ 1,000,000 = 0.441

Amount invested in stock C = (0.441 x $ 1,000,000) / 1.45

Amount invested in stock C = $ 304,137.931

So, the amount of investment in risk free asset shall be:

= $ 1,000,000 - $ 180,000 - $ 290,000 - $ 304,137.931

= $ 225,862.069

The beta of risk free asset is always zero.


Related Solutions

You want to create a portfolio equally as risky as the market, and you have $1,000,000...
You want to create a portfolio equally as risky as the market, and you have $1,000,000 to invest. Consider the following information:    Asset Investment Beta Stock A $200,000 0.85 Stock B $350,000 1.20 Stock C 1.55 Risk-free asset    Required: (a) What is the investment in Stock C? (Do not round your intermediate calculations.) (Click to select)$275,097$253,935$264,516$251,290$144,849    (b) What is the investment in risk-free asset? (Do not round your intermediate calculations.) (Click to select)$192,903$178,065$305,151$176,210$185,484
You want to create a portfolio equally as risky as the market, and you have $800,000...
You want to create a portfolio equally as risky as the market, and you have $800,000 to invest. You've already allocated a portion of your wealth to Stock A and Stock B, and you've decided to also invest money in Stock C and the risk-free asset. Consider the following information:    Asset Investment Beta Stock A $200,000 0.80 Stock B $160,000 1.30 Stock C ? 1.50 Risk-free asset ? ?    Required: (a) How much should you invest in Stock...
You want to create a portfolio equally as risky as the market, and you have $1,200,000...
You want to create a portfolio equally as risky as the market, and you have $1,200,000 to invest. Consider the following information:    AssetInvestmentBeta Stock A$420,0000.70 Stock B$360,0001.25 Stock C 1.55 Risk-free asset      Required: (a)What is the investment in Stock C? (Do not round your intermediate calculations.)       (Click to select)   $279,484   $305,962   $294,194   $213,028   $282,426    (b)What is the investment in risk-free asset? (Do not round your intermediate calculations.)       (Click to select)   $130,838   $119,516   $125,806   $206,972   $120,774
You want to create a portfolio equally as risky as the market, and you have $500,000...
You want to create a portfolio equally as risky as the market, and you have $500,000 to invest. Information about the possible investments is given below:      Asset Investment Beta   Stock A $ 85,000       .80         Stock B $165,000       1.15         Stock C 1.40         Risk-free asset    a. How much will you invest in Stock C? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. How much will you invest in...
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.)
You want to create a portfolio equally as risky as the market, and you have $1,400,000...
You want to create a portfolio equally as risky as the market, and you have $1,400,000 to invest. Consider the following information: Asset Investment Beta Stock A $350,000 0.75 Stock B $280,000 1.10 Stock C 1.55 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.)
You want to create a portfolio equally as risky as the market, and you have $1,200,000...
You want to create a portfolio equally as risky as the market, and you have $1,200,000 to invest. Consider the following information: Asset Investment Beta Stock A $240,000 0.60 Stock B $360,000 1.25 Stock C 1.60 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.)
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 $385,000 0.80 Stock B $330,000 1.35 Stock C 1.55 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.)
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 0.70 Stock B $275,000 1.35 Stock C 1.55 Risk-free asset    Required: (a) What is the investment in Stock C? (Do not round your intermediate calculations.)   (Click to select)   $359,807   $328,670   $345,968   $214,334   $332,129    (b) What is the investment in risk-free asset? (Do not round your intermediate calculations.)   (Click to select)   $212,193   $195,871   $335,666   $204,032   $193,830
You want to create a portfolio as risky as the market with $500,000 to invest. Fill...
You want to create a portfolio as risky as the market with $500,000 to invest. Fill in the following table: Asset      Investment BETA stock A       $85,000      0.8 stock B $165,000   1.15    stock C    ----------      1.4 Riskfree asset _______ ------ Please fill in the blanks and show all work
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT