In: Finance
Expected return and standard
deviation.
Use the following information to answer the questions.
State of Economy |
Probability of State |
Return on Asset J in State |
Return on Asset K in State |
Return on Asset L in State |
||||||
Boom |
0.25 |
0.065 |
0.230 |
0.260 |
||||||
Growth |
0.36 |
0.065 |
0.140 |
0.210 |
||||||
Stagnant |
0.23 |
0.065 |
0.065 |
0.055 |
||||||
Recession |
0.16 |
0.065 |
-0.080 |
−0.210 |
a. What is the expected return of asset J?
_____
(Round to four decimal places.)
What is the expected return of asset K?
________
(Round to four decimal places.)
What is the expected return of asset L?
_______
(Round to four decimal places.)
b. What is the variance of asset J?
______
(Round to four decimal places.)
What is the variance of asset K?
_______
(Round to four decimal places.)
What is the variance of asset L?
_________
(Round to four decimal places.)
What is the standard deviation of asset J?
_______
(Round to four decimal places.)
What is the standard deviation of asset K?
_______
(Round to four decimal places.)
What is the standard deviation of asset L?
________
(Round to four decimal places.)
c. What is the expected return of a portfolio with
11 % in asset J, 52 % in asset K, and 37 % in asset L? _____
(Round to four decimal places.)
d. What is the portfolio's variance using the same asset weights from part
(c )?______
(Round to four decimal places.)
What is the portfolio's standard using the same asset weights from part
(c )? ______
(Round to four decimal places.)