A Comparative Evaluation of Capital Asset Pricing Models: A Tobin Minimum Required Rate of Return and Inflation-Based Approach
Keywords:
Tobin’s Minimum Required Rate of Return, Inflation, Systematic Risk, Downside Risk, LiquidityAbstract
This study aims to evaluate the effectiveness of replacing the conventional risk-free rate with Tobin’s Minimum Required Rate of Return (TMRR) in asset pricing models and to assess its impact on estimating expected stock returns in the Iranian capital market. This applied study adopts a descriptive-analytical and ex post facto design using monthly panel data from 28 leading firms listed on the Tehran Stock Exchange over the period 2011–2023. Four asset pricing frameworks—Classical CAPM, Downside CAPM, Liquidity-Adjusted CAPM, and Inflation-Adjusted CAPM—were estimated in both traditional and TMRR-based forms. Data stationarity was tested using the Levin–Lin–Chu test, while F-Limer and Hausman tests determined the appropriate panel structure. Model estimations were conducted using the GLS method in EViews software. The results indicate that substituting the traditional risk-free rate with TMRR significantly reduces estimated systematic risk, substantially improves the explanatory power of the models, and enhances the statistical stability of beta coefficients. The coefficient of determination increased markedly across all models, particularly in CAPM, Downside CAPM, and Liquidity-Adjusted CAPM. Moreover, the findings reveal a nonlinear relationship between inflation and the equity risk premium, with TMRR-based models demonstrating superior adaptability under inflationary conditions. Overall, employing Tobin’s Minimum Required Rate of Return provides a more realistic and endogenous benchmark for asset pricing in volatile and inflationary economies and offers an effective framework for localizing and improving the empirical performance of CAPM-type models.
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References
Ai, X., & Zhang, Q. (2025). The Applicability of the Capital Asset Pricing Model: An Empirical Test. Frontiers in Economics and Management, 6(8), 112-116.
Ali, M. R., Mahmud, M. S., & Lima, R. P. (2016). Analyzing Tobin's Q ratio of banking industry of Bangladesh: A comprehensive guideline for investors. Asian Business Review, 6(2), 85-90. https://doi.org/10.18034/abr.v6i2.31
Anuno, F., Madaleno, M., & Vieira, E. (2023). Using the capital asset pricing model and the Fama-French three-factor and five-factor models to manage stock and bond portfolios: Evidence from Timor-Leste. Journal of Risk and Financial Management, 16(11), 480. https://doi.org/10.3390/jrfm16110480
Azam, M. (2022). An empirical investigation of Tobin's Q augmented various asset pricing models: Evidence from Pakistan. Journal of Social Sciences and Management Studies, 1(4), 1-22. https://doi.org/10.56556/jssms.v1i4.293
Bagh, T., Fuwei, J., & Khan, M. A. (2024). Corporate ESG investments and firm's value under the real-option framework: Evidence from two world-leading economies. Borsa Istanbul Review, 24(2), 324-340. https://doi.org/10.1016/j.bir.2024.01.002
Bagheri, M. J., Hashemi, S. F., Shah-Hosseini, M., & Hashemi Gohar, M. H. G. (2025). Evaluation of a Multi-Factor Asset Pricing Model for Predicting Stock Returns in the Iranian Capital Market. Journal of Economic Essays: An Islamic Approach, 22(46), 61-88.
Chen, J. M. (2021). The capital asset pricing model. Encyclopedia, 1(3), 915-933. https://doi.org/10.3390/encyclopedia1030070
Cieslak, A., Li, W., & Pflueger, C. E. (2024). Inflation and treasury convenience.
Fama, E. F., & French, K. R. (2004). The capital asset pricing model: Theory and evidence. Journal of Economic Perspectives, 18(3), 25-46. https://doi.org/10.1257/0895330042162430
Guo, R. (2023). The theory of asset pricing. Proceedings of the Asian Economic and Management Professionals Society, https://doi.org/10.54254/2754-1169/4/2022908
Hackworth, P. (2024). The current and expected pricing markup as derived from the capital asset pricing model and Tobin's Q and applied to the UK's FTSE 100. Journal of Risk and Financial Management, 17(3), 127. https://doi.org/10.3390/jrfm17030127
Jozemoghaddam, P., Kordestani, G., & Azizmohammadlou, H. (2025). Redesigning the consumption-based asset pricing model based on fundamental accounting variables. Financial Research Journal, 27(3).
Karp, A., & Van Vuuren, G. (2017). The capital asset pricing model and Fama-French three factor model in an emerging market environment. The International Business & Economics Research Journal, 16(4), 231. https://doi.org/10.19030/iber.v16i4.10040
Kumar, S., Kumar, A., Singh, K. U., & Patra, S. K. (2023). The six decades of the capital asset pricing model: A research agenda. Journal of Risk and Financial Management, 16(8), 356. https://doi.org/10.3390/jrfm16080356
McDonald, J. F. (2010). The Q theory of investment, the capital asset pricing model and the capitalization rate in real estate valuation. Applied Financial Economics, 20(14), 1133-1143. https://doi.org/10.1080/09603101003742523
Mehrali, Z., Talebnia, G., & Ahmadzade, H. (2023). The evaluation of DCAPM, ACAPM model standard capital cost. Journal of Investment Knowledge, 12(48), 671-696.
Mohammadzadeh, A., Tash, M. N. S., & Roshan, R. (2016). Investigating and comparing some consumption-based asset pricing models: The case of Iran. International Journal of Economics and Financial Issues, 6(4), 1884-1894.
Pinchuk, M. (2023). Monetary uncertainty as a determinant of the response of stock market to macroeconomic news University of Rochester].
Rashidbeigi, N., Rahmani, M., & Moayeri, F. (2025). Estimating the capital asset pricing model based on Tobin's minimum rate of return. International Journal of Nonlinear Analysis and Applications.
Salehi, M. (2009). Tobin's Q model and cash flows from operating and investing activities in listed companies in Iran. Zagreb International Review of Economics & Business, 12(1), 71-82.
Salehi, M., Hejazi, R., Talebnia, G., & Amiri, A. (2019). A scheme of CAPM models considering distress risk and firms life cycle. Financial Management Strategy, 7(1), 95-122.
Vergara-Fernández, M., Heilmann, C., & Szymanowska, M. (2023). Describing model relations: The case of the capital asset pricing model (CAPM) family in financial economics. Studies in History and Philosophy of Science, 97, 91-100. https://doi.org/10.1016/j.shpsa.2022.12.002
Zhang, L. (2020). q-factors and investment CAPM. Oxford Research Encyclopedia of Economics and Finance
Zhao, B., Yin, H., & Long, Y. (2024). An advanced time-varying capital asset pricing model via heterogeneous autoregressive framework: Evidence from the Chinese stock market. Mathematics, 13(1), 41. https://doi.org/10.3390/math13010041
Zou, H. (2023). A literature review on the capital asset pricing model in finance. Advances in Economics, Management and Political Sciences, 26, 56-60. https://doi.org/10.54254/2754-1169/26/20230543
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