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Which of the following is not correct regarding beta? If a stock has returns that are negatively correlated with market returns, then the stock has

Which of the following is not correct regarding beta?

If a stock has returns that are negatively correlated with market returns, then the stock has a negative beta.

The beta of a broad market index equals one.

If the stock's returns are uncorrelated with market returns, the beta of the stock must be zero.

If a stock's returns are perfectly correlated with market returns, the beta of the stock must be one.

*Please explain reasoning*

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