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# Creating a Portfolio Based on Betas

I am trying to understand what formula to use.

I want to create a portfolio equally risky as the market, and I have \$1,000,000 to invest. So Given the info below, I need to fill the table below;

Asset Investment Beta
Stock A \$200,000 .80
Stock B \$250,000 1.30
Stock C 1.50
Risk-free asset

I know that the Investment for stock C = \$343,333 and the Risk Free asset is \$206,667.
I am trying to figure how to solve this problem.

Hope this helps thanks.

#### Solution Preview

The market beta is, by definition, 1.0. The risk-free asset has a beta of 0.00 by definition. To find the weighted-average beta of a portfolio, we multiply the beta of each investment by the amount of that investment. Thus,

(Total portfolio*portfolio beta)=(investment in Stock A*beta of ...

#### Solution Summary

I want to create a portfolio equally risky as the market, and I have \$1,000,000 to invest. So given the info below, I need to fill the table below;

Asset Investment Beta
Stock A \$200,000 .80
Stock B \$250,000 1.30
Stock C 1.50
Risk-free asset

\$2.19