4. Conclusion
We recast the Markowitz efficient frontier by allowing an imperfect information set. We demonstrate how imprecise information return errors affect optimal portfolio choice. As the influence of low-quality information rises, the distinction between the prefect information and the imprecise information (observed) efficient frontier turns larger, moving investors away from an optimal portfolio choice. This hurts the benefit of using the classical mean-variance theory in practice. Consistent with the estimation error literature, we find that with an imprecise information set expected return errors play a more significant role in affecting optimal weights than the role played by imprecise return variance estimates.