Brad and Angie had the following income and deductions during 2018: 
Calculate Brad and Angie's tax liability due or refund. They file a joint tax return.
Definitions:
Mean-Variance Efficient Portfolio
A Mean-Variance Efficient Portfolio is an investment strategy that aims to optimize the balance between expected return and risk, as defined by the portfolio's volatility.
Single-Index Structure
A model used in finance to describe the returns of a security as a function of a single market index.
Expected Returns
A rephrased definition for Expected Return: The anticipated income or profit from an investment over a specific period, considering various possible scenarios and their probabilities.
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