Question

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 1

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