Expected return and standard deviation a. What is the expected return of asset J? Return on Asset J in Return on Asset K in Return on State of Economy Probability Asset L in of State State State State Boom 0.26 0.050 0.190 0.250 Growth 0.38 0.050 0.100 0.190 Stagnant 0.21 0.050 0.030 0.080 Recession 0.15 0.050 - 0.070 - 0.190
Expected return and standard deviation a. What is the expected return of asset J? Return on Asset J in Return on Asset K in Return on State of Economy Probability Asset L in of State State State State Boom 0.26 0.050 0.190 0.250 Growth 0.38 0.050 0.100 0.190 Stagnant 0.21 0.050 0.030 0.080 Recession 0.15 0.050 - 0.070 - 0.190
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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
Transcribed Image Text:**Expected Return and Standard Deviation**
**a. What is the expected return of asset J?**
The table below presents data about the state of the economy, probability of each state, and the returns on assets J, K, and L in each state:
| 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 | 0.26 | 0.050 | 0.190 | 0.250 |
| Growth | 0.38 | 0.050 | 0.100 | 0.190 |
| Stagnant | 0.21 | 0.050 | 0.030 | 0.080 |
| Recession | 0.15 | 0.050 | -0.070 | -0.190 |
To find the expected return of asset J, you would calculate the weighted average of returns using the probabilities. This involves multiplying each return by the corresponding probability and summing the results:
Expected Return of Asset J = (0.26 * 0.050) + (0.38 * 0.050) + (0.21 * 0.050) + (0.15 * 0.050)
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