# Problem 11-10 Returns and Standard Deviations [LO 1, 2] Consider the following information:

Problem 11-10 Returns and Standard Deviations [LO 1, 2]

Consider the following information:

Rate of Return If State OccursState ofProbability ofEconomyState of EconomyStock AStock BStock C        Boom .15    .35    .45   .33           Good .50    .12   .10   .17           Poor .25    .01   .02   −.05           Bust .10    −.11   −.25   −.09

Requirement 1:

Your portfolio is invested 30 percent each in A and C and 40 percent in B. What is the expected return of the portfolio?

(Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).)

Expected return of the portfolio %

Requirement 2:(a)

What is the variance of this portfolio?

(Do not round intermediate calculations. Round your answer to 5 decimal places(e.g., 32.16161).)

Variance of the portfolio

(b)

What is the standard deviation of this portfolio?

(Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).)

Standard deviation %