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State prob. of state share M share N Growth 50% 10% 7% stable ??? 8% 6% Recession 35% -6% -2% You want to invest in

State prob. of state share M share N
Growth 50% 10% 7%
stable ??? 8% 6%
Recession 35% -6% -2%

You want to invest in 2 shares. The correlation coefficient is -0.4.

  1. Find the Expected Return for Share M and Share N.
  2. Find the Standard Deviation of returns on Share M and Share N.
  3. What is the expected Return of the portfolio invested 30% in Share M and remaining in Share N?
  4. What is the standard deviation of returns on this portfolio?

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