State Probability Return on A Return on B Boom .20 20% 5% Normal .50 10% 8% Bust .30 8% 12% What is the expected return of a portfolio with 80% of the funds invested in A? O 8.60% O 10.84% O 9.88% O 11.20% O 11.62%
State Probability Return on A Return on B Boom .20 20% 5% Normal .50 10% 8% Bust .30 8% 12% What is the expected return of a portfolio with 80% of the funds invested in A? O 8.60% O 10.84% O 9.88% O 11.20% O 11.62%
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
Problem 1PS
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Transcribed Image Text:**Portfolio Expected Return Calculation**
The table below outlines the returns on two investments, A and B, based on different economic states: Boom, Normal, and Bust.
| State | Probability | Return on A | Return on B |
|--------|-------------|-------------|-------------|
| Boom | 0.20 | 20% | 5% |
| Normal | 0.50 | 10% | 8% |
| Bust | 0.30 | 8% | 12% |
**Question**: What is the expected return of a portfolio with 80% of the funds invested in A?
**Choices**:
- 8.60%
- 10.84%
- 9.88%
- 11.20%
- 11.62%
To find the expected return, calculate the weighted average return of both investments across the different states, considering the probability of each state and the allocation ratio between A and B (80% in A and 20% in B).
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