Consider a risky portfolio, A, with an expected rate of return of 0.16 and a standard deviation of 0.16, that lies on a given indifference curve. Which one of the following portfolios might lie on the same indifference curve?
A. |
E(r) = 0.15; Standard deviation = 0.20 |
|
B. |
E(r) = 0.10; Standard deviation = 0.10 |
|
C. |
E(r) = 0.10; Standard deviation = 0.20 |
|
D. |
E(r) = 0.16; Standard deviation = 0.10 |
|
E. |
E(r) = 0.20; Standard deviation = 0.15 |
The risk- reward ratio of Portfolio A is = .16/.16 i.e. 1. The risk reward ratio of portfolio B is also 1.
Therefore, portfolio B with E(r) = .10 and standard deviation =0.10 lie on the same indiffernce curve.
Portfolio | Return | Standard Deviation | Risk Reward Ratio (Standard Deviation / Return) |
A | 0.15 | 0.20 | 1.33 |
B | 0.10 | 0.10 | 1.00 |
C | 0.10 | 0.20 | 2.00 |
D | 0.16 | 0.10 | 0.63 |
E | 0.20 | 0.15 | 0.75 |
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