Expected return and standard deviation. Use the following information to answer the questions: LOADING a. What is the expected return of each asset? b. What is the variance of each asset? c. What is the standard deviation of each asset? Hint: Make sure to round all intermediate calculations to at least seven (7) decimal places. The input instructions, phrases in parenthesis after each answer box, only apply for the answers you will type. a. What is the expected return of asset A?

Answer and Explanation:

a. The computation of expected return of each assets is shown below:-

Expected Return on Asset A in state is

= 0.39 × 0.02 + 0.45 × 0.02 + 0.16 × 0.02

= 0.02

Expected Return on Asset B in state is

= 0.39 × 0.25 + 0.45 × 0.06 + 0.16 × -0.04

= 0.1181

Expected Return on Asset C in state is

= 0.39 × 0.35 + 0.45 × 0.19 + 0.16 × -0.22

= 0.1868

b. The computation of variance of each asset is shown below:-

Variance of Assets A is

= 0.39 × (0.02 - 0.020)^2 + 0.45 × (0.02 - 0.020)^2 + 0.16 × (0.02 - 0.020)^2

= 0

Variance of Assets B is

= 0.39 × (0.25 - 0.1181)^2 + 0.45 × (0.06 - 0.1181)^2 + 0.16 × (-0.04 - 0.1181)^2

= 0.0123

Variance of Assets C is

= 0.39 × (0.35 - 0.1868)^2 + 0.45 × (0.19 - 0.1868)^2 + 0.16 × (-0.22 - 0.1868)^2

= 0.0369

c. The computation of standard deviation of each asset is shown below:-

Standard Deviation of A is

= (0.39 × (0.02 - 0.020)^2 + 0.45 × (0.02 - 0.020)^2 + 0.16 × (0.02 - 0.020)^2)^0.5

= 0

Standard Deviation of B is

= (0.39 × (0.25 - 0.1181)^2 + 0.45 × (0.06 - 0.1181)^2 + 0.16 × (-0.04 - 0.1181)^2)^0.5

= 0.1109

Standard Deviation of C is

= (0.39 × (0.35 - 0.1868)^2 + 0.45 × (0.19 - 0.1868)^2 + 0.16 × (-0.22 - 0.1868)^2)^0.5

= 0.1920