Capital Asset Pricing Model with Size Factor and Normalizing by Volatility Index

Abraham Atsiwo and Andrey Sarantsev

Papers from arXiv.org

Abstract: The Capital Asset Pricing Model (CAPM) relates a well-diversified stock portfolio to a benchmark portfolio. We insert size effect in CAPM, capturing the observation that small stocks have higher risk and return than large stocks, on average. Dividing stock index returns by the Volatility Index makes them independent and normal. In this article, we combine these ideas to create a new discrete-time model, which includes volatility, relative size, and CAPM. We fit this model using real-world data, prove the long-term stability, and connect this research to Stochastic Portfolio Theory. We fill important gaps in our previous article on CAPM with the size factor.

Date: 2024-11, Revised 2024-12
New Economics Papers: this item is included in nep-fmk and nep-rmg
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