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Consider the following information on a portfolio of three stocks: State of Probability of Stock A Stock B Stock C Economy State of Economy Rate

Consider the following information on a portfolio of three stocks:

State of Probability of Stock A Stock B Stock C
Economy State of Economy Rate of Return Rate of Return Rate of Return
Boom .14 .05 .35 .47
Normal .52 .13 .25 .23
Bust .34 .19 .24 .38

a. If your portfolio is invested 42 percent each in A and B and 16 percent in C, what is the portfolios expected return, the variance, and the standard deviation? (Do not round intermediate calculations. Round your variance answer to 5 decimal places, e.g., 32.16161. Enter your other answers as a percent rounded to 2 decimal places, e.g., 32.16.)

Expected return 10.84%
Variance
Standard deviation %

b. If the expected T-bill rate is 4.4 percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected risk premium 6.44%

I need the variance and standard deviation.

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