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Investors Group is offering two new Canadian Equity Funds. Their Fund managers have provided the following information: State of the Economy Probability of the State

Investors Group is offering two new Canadian Equity Funds. Their Fund managers have provided the following information:

State of the Economy

Probability of the State of Nature

Small-Cap Fund

Large-Cap Fund

Boom

15%

20%

15%

Flat

65%

10%

9%

Recession

20%

-20%

-3%

Calculate the expected rate of return for each fund. Calculate the standard deviation for each fund. What is the risk premium for each fund if the risk-free rate is 4%? Assume an investor commits to investing $40,000 in the Small Cap Fund and $60,000 in the Large Cap Fund. If the correlation coefficient of the returns of the two funds is 0.97; calculate the expected return and standard deviation of the investors portfolio.

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