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You have the following return distributions for Stock X and the market portfolio. Economic State Probability Return on Market Return on X Deep Recession 0.1

You have the following return distributions for Stock X and the market portfolio.

Economic State

Probability

Return on Market

Return on X

Deep Recession

0.1

-15%

-50%

Mild Recession

0.3

-5%

-10%

Mild Expansion

0.4

10%

30%

Boom

0.2

30%

40%

  1. Based on the CAPM, what is Stock Xs beta?

  1. If the CAPM required rate of return on X is the same as its expected return based on the distribution above, what is the risk-free rate?

  1. Based on the return distribution of the market portfolio and the risk-free rate calculated, write down the equation for the Capital Market Line.

  1. Do you expect individual stocks to be on the Capital Market Line in part c)? Why or why not? Briefly explain

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