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 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
If you want to optimize your portfolio of risky securities, which portfolio is the ideal portfolio?...
If you want to optimize your portfolio of risky securities, which portfolio is the ideal portfolio? a) the portfolio that is tangent to the CAL b) The portfolio that is furthest to the right in the return/standard deviation space c) the minumum variance portfolio d) the portfolio that offers the highest return
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT