<p>In this paper, we extend the benchmark asset pricing model of Bergeron (Appl Econ Lett 29(16):1498–1503, 2022) and Baigent (Appl Econ Lett 33:1–4, 2024), adding the factor of inflation. The extension model considers a standard discrete-time framework, and its central assumption supposes that the representative investor estimates, for each asset, the expected real return, as well as the expected relative return. To simplify the derivation, the extension model also considers the familiar <i>no-arbitrage</i> paradigm. Our main result indicates that the expected return of an asset is positively and linearly related to its <i>inflation beta</i> (given by the covariance between the asset’s return and the inflation factor), in addition to its <i>benchmark beta</i> (obtained from the covariance between the asset’s return and the benchmark factor). This suggests, from a theoretical point of view, that inflation and benchmark risks influence asset returns.</p>

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Inflation, benchmark return, arbitrage and asset pricing

  • Claude Bergeron

摘要

In this paper, we extend the benchmark asset pricing model of Bergeron (Appl Econ Lett 29(16):1498–1503, 2022) and Baigent (Appl Econ Lett 33:1–4, 2024), adding the factor of inflation. The extension model considers a standard discrete-time framework, and its central assumption supposes that the representative investor estimates, for each asset, the expected real return, as well as the expected relative return. To simplify the derivation, the extension model also considers the familiar no-arbitrage paradigm. Our main result indicates that the expected return of an asset is positively and linearly related to its inflation beta (given by the covariance between the asset’s return and the inflation factor), in addition to its benchmark beta (obtained from the covariance between the asset’s return and the benchmark factor). This suggests, from a theoretical point of view, that inflation and benchmark risks influence asset returns.