Capital Asset Pricing & Portfolio Theory

Please write out in papragraph form how all problems were calculated, including the equations.

Answer the following questions:

  1. 1.Security A has an expected rate of return of 6%, a standard deviation of returns of 30%, a correlation coefficient with the market of 0.25, and a beta coefficient of 0.5. Security B has an expected return of 11%, a standard deviation of returns of 10%, a correlation with the market of 0.75, and a beta coefficient of 0.5. Which security is riskier? Why?
  2. 2.The standard deviation of stock returns for Stock A is 40%. The standard deviation of the market return is 20%. If the correlation between Stock A and the market is 70, then what is Stock A’s beta?
  3. 3.An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk- free rate is 6%, the expected return on the first factor r1 is 12%, and the expected return on the second factor r2 is 8%. If bi1 0 7 and bi2 0 9, what is Crisp’s required return?
  4. 4.Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?

Also, discuss any affect the new tax law changes will have on beta.

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