Question: 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
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.)
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