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Consider the economic probabilities and returns with reference to these economic outcomes for the following stocks and equity market. The government issued treasury bill is

Consider the economic probabilities and returns with reference to these economic outcomes for the following stocks and equity market. The government issued treasury bill is trading at 9%.

Economy Prob Stock X Stock Y Stock Z Market
Recession 12% -12% -2% 35% -3%
Avg 15% 8% 30% 22% 5%
Above Avg 50% 18% 25% 6% 10%
Boom 23% 29% 19% -3% 18%
Beta 2% 1% -86% 1%

a) Calculate the Expected Return and Required Rate of Return for each stock and market. b) Calculate the Standalone risk of each stock and its Covariance. c) What would be the expected return and risk profile of portfolio with Stock X and Stock Y having weightage of 60% and 40% respectively. Correlation Coefficient (p) of X and Y is 0.38. d) What would be the expected return and risk profile of portfolio with Stock X and Stock Z having weightage of 30% and 70% respectively. Correlation Coefficient (p) of X and Z is -0.72.

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