We would generally find that the beta of a single security is more stable over time than the beta of a diversified portfolio.

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The beta of a diversified portfolio is generally more stable over time than the beta of a single security. This is because the diversification of the portfolio helps to reduce the impact of individual security-specific events on the portfolio's overall beta. Over time, the portfolio's beta will reflect the underlying risk and return characteristics of the portfolio as a whole, rather than the idiosyncrasies of any one particular security.

We Would Generally Find That the Beta of a Single