Asset Pricing: A Comparative Analysis of Fama-French Five-Factor with Human Capital-Based Six-Factor Model
DOI:
https://doi.org/10.47654/v29y2025i4p1-37Keywords:
Asset Pricing, Fama-French Five-Factor Model, Six-Factor model, Human Capital, Pakistan stock exchange, Fama-MacBeth regressionAbstract
Purpose: Decisions on investments in financial securities rely on robust asset pricing models. Investors continually seek more effective ways to make their portfolios more efficient by using pricing models that are more accurate and obtain better yields. This study compares the performance of the Fama-French five-factor model with a new six-factor model that incorporates the human capital (HC, hereafter) factor.
Methodology: The study employs the Fama and French time series regression and the Fama-MacBeth two-pass time series regression approach to analyze data of 170 firms (non-financial) listed on the Pakistan Stock Exchange (PSX) over the period between July 2010 and June 2020.
Findings: Findings indicate that HC is a significant factor that enhances the efficiency of asset pricing models. The six-factor model outperforms the Fama-French five-factor model, suggesting that the inclusion of HC yields a more effective asset pricing model.
Implications: The findings have important implications for investors, policymakers, and academics, indicating that the six-factor model is more effective in estimating expected returns and pricing financial securities. Hence, the findings of this study are strongly related to the practice of decision sciences, thereby providing insights to assess how the factors in factor models affect the variation in risk-adjusted returns, and it is useful for portfolio managers to make optimal asset-management decisions.
Originality/Value: This research contributes to the development of asset pricing models by introducing and validating the HC factor, offering a novel approach to improving the efficiency of valuation models used in financial markets.
References
Abdullah, M., Abdou, H. A., Godfrey, C., Elamer, A. A., & Ahmed, Y. (2023). Assessing the use of gold as a zero-beta asset in empirical asset pricing: Application of US equity market. Journal of Risk and Financial Management, 16(3), 204.
Acaravci, S. K., & Karaomer, Y. (2017). Fama-French five-factor model: Evidence from Turkey. International Journal of Economics and Financial Issues, 7(6), 130–137.
Aharoni, G., Grundy, B., & Zeng, Q. (2013). Stock returns and the Miller Modigliani valuation formula: revisiting the Fama French analysis. Journal of Financial Economics, 110(2), 347–357.
Ali, F., Khurram, U. M., & Jiang, Y. (2019). The five-factor asset pricing model tests and profitability and investment premiums: evidence from Pakistan. Emerging Markets Finance and Trade, 57(9), 2651-2673.
Ali, S., Naveed, M., Saleem, A., & Nasir, M. W. (2022). Time-frequency co-movement between COVID-19 and Pakistan’s Stock Market: Empirical evidence from wavelet coherence analysis. Annals of Financial Economics, 17(04), 2250026.
Allen, D. E., & McAleer, M. (2023). Drawbacks in the 3-factor approach of Fama and French (2018). Annals of Financial Economics, 18(01), 2240001.
Audi, M., Sulehri, F. A., Ali, A., & Al-Masri, R. (2022). An event based analysis of stock return and political uncertainty in Pakistan: Revisited. International Journal of Economics and Financial Issues, 12(5), 39-56.
Bai, J., & Zhou, G. (2015). Fama–MacBeth two-pass regressions: Improving risk premia estimates. Finance Research Letters, 15, 31-40.
Bai, Z., Hui, Y., Jiang, D., Lv, Z., Wong, W. K., & Zheng, S. (2018). A new test of multivariate nonlinear causality. PLOS ONE, 13(1), e0185155.
Bai, Z., Liu, H., & Wong, W. K. (2009). On the Markowitz mean–variance analysis of self-financing portfolios. Risk and Decision Analysis, 1(1), 35-42.
Bajwa, I. A., & Syed, A. M. (2022). A bibliometric review of the Pakistan Stock Exchange literature. International Journal of Entrepreneurship, 26(1), 1-10
Banz, R. W. (1981). The relationship between return and market value of common stocks. Journal of Financial Economics, 9(1), 3-18.
Barney, J. B. (1991). Firm resources and sustained competitive advantage. Journal of Management,17(1), 99–120.
Barney, J. B., & Ouchi, W. (1986). Organizational Economics: Toward a New Paradigm for Studying and Understanding Organizations, Jossey-Bass, Hoboken, New Jersey.
Barras, L. (2019). A large-scale approach for evaluating asset pricing models. Journal of Financial Economics,134(3), 549–569.
Basu, S. (1977). Investment performance of common stocks in relation to their price-earnings ratios: test of the efficient market hypothesis. Journal of Finance, 32(3), 663-682.
Belo, F., Li, J., Lin, X., & Zhao, X. (2017). Labor-force heterogeneity and asset prices: The importance of skilled labor. Review of Financial Studies, 30(10), 3669-3709.
Benali, M., Lahboub, K., & El Bouhadi, A. (2023). Pricing ability of Carhart four-factor and Fama–French three-factor models: Empirical evidence from Morocco. International Journal of Financial Studies, 11(1), 20.
Buditomo, B., Candra, S., & Soetanto, T. V. (2024). Fama and French five-factor study of stock market in Indonesia. International Journal of Organizational Behavior and Policy, 3(1), 39-52.
Campbell, J. Y. (1996). Understanding risk and return. Journal of Political Economy, 104(2), 298-345.
Carhart, M. M. (1997). On persistence in mutual fund performance. Journal of Finance, LII(1), 57-82.
Chang, C. L., McAleer, M., & Wong, W. K. (2018). Decision sciences, economics, finance, business, computing, and big data: Connections. Advances in Decision Sciences, 22(1), 36-94.
Cheng, Y., Hui, Y., Liu, S., & Wong, W. K. (2022). Could significant regression be treated as insignificant: An anomaly in statistics?. Communications in Statistics: Case Studies, Data Analysis and Applications, 8(1), 133-151.
Cheng, Y., Hui, Y., McAleer, M., & Wong, W. K. (2021). Spurious relationships for nearly non-stationary series. Journal of Risk and Financial Management, 14(8), 366.
Chiah, M., Chai, D., Zhong, A., & Li, S. (2016). A better model? An empirical investigation of the Fama–French five‐factor model in Australia. International Review of Finance, 16(4), 595-638.
Cox, S., & Britten, J. (2019). The Fama-French five-factor model: Evidence from the Johannesburg Stock Exchange. Investment Analysts Journal, 48(2), 1-22.
Dirkx, P., & Peter, F. J. (2020). Fama-French five-factor model plus momentum: evidence for the German market. Schmalenbach Business Review, 72(4), 661–684.
Doğan, M., Kevser, M., & Leyli Demirel, B. (2022). Testing the augmented Fama–French six‐factor asset pricing model with momentum factor for Borsa Istanbul. Discrete Dynamics in Nature and Society, 2022(1), 3392984.
Dutta, A. (2019). Does the five-factor asset pricing model have sufficient power?. Global Business Review, 20(3), 684-691.
Egozcue, M., & Wong, W. K. (2010). Gains from diversification on convex combinations: A majorization and stochastic dominance approach. European Journal of Operational Research, 200(3), 893-900.
Fama, E. F. (1970). Efficient capital markets. Journal of Finance, 25(2), 383-417.
Fama, E. F., & French, K. R. (1992). The cross-section of expected stock returns. Journal of Finance, 47(2), 427-465.
Fama, E. F., & French, K. R. (1993). Common risk factors in the returns on stocks and
bonds. Journal of Financial Economics, 33(1), 3-56.
Fama, E. F., & French, K. R. (1995). Size and book-to-market factors in earnings and returns. Journal of Finance, 50(1), 131-155.
Fama, E. F., & French, K. R. (1999). The corporate cost of capital and the return on corporate investment. Journal of Finance, 54(6), 1939-1967.
Fama, E. F., & French, K. R. (2002). The equity premium. Journal of Finance, 57(2), 637-659.
Fama, E. F., & French, K. R. (2008). Dissecting anomalies. Journal of Finance, 63(4), 1653-1678.
Fama, E. F., & French, K. R. (2015). A five-factor asset pricing model. Journal of Financial Economics, 116(1), 1-22.
Fama, E. F., & French, K. R. (2017). International tests of a five-factor asset pricing model. Journal of Financial Economics, 123(3), 441-463.
Fama, E. F., & French, K. R. (2018). Choosing factors. Journal of Financial Economics, 128(2), 234-252.
Fama, E. F., & French, K. R. (2020). Comparing cross-section and time-series factor models. Review of Financial Studies, 33(5), 1892–926.
Fama, E. F., & MacBeth, J. D. (1973). Risk, return, and equilibrium: Empirical tests. Journal of Political Economy, 81(3), 607-636.
Ferreira, E., Gil-Bazo, J., & Orbe, S. (2011). Conditional beta pricing models: A nonparametric approach. Journal of Banking & Finance, 35(12), 3362-3382.
Foye, J. (2018). A comprehensive test of the Fama-French five-factor model in emerging markets. Emerging Markets Review, 37, 199-222.
Foye, J., & Valentincic, A. (2020). Testing factor models in Indonesia. Emerging Markets Review, 42,100628.
Fraser, P., Foort, H., Martin, H., & Macgregor, B. (2004). Time-varying betas and the cross-sectional return–risk relation: evidence from the UK. The European Journal of Finance, 10(4), 255-276.
Gibbons, M. R., Ross, S. A., & Shanken, J. (1989). A test of the efficiency of a given portfolio. Econometrica, 57(5), 1121-1152.
Goo, Y., & Wang, C. (2024). Do there exist nonlinear phenomena of the Fama-French six factors on stock returns? An empirical investigation on the Taiwan stock market. Modern Economy, 15, 394-412.
Green, J., Hand, J. R. M., & Zhang, X. F. (2016). Errors and questionable judgments in analysts’ DCF models. Review of Accounting Studies, 21(2), 596-632.
Gregory, A., Tharyan, R., & Christidis, A. (2013). Constructing and testing alternative versions of the Fama-French and Carhart models in the UK. Journal of Business Finance and Accounting, 40(1–2), 172–214.
Guo, B., Zhang, W., Zhang, Y., & Zhang, H. (2017). The Five-Factor asset pricing model tests for the Chinese stock market. Pacific-Basin Finance Journal, 43, 84-106.
Guo, X., Chan, R. H., Wong, W. K., & Zhu, L. (2019). Mean–variance, mean–VaR, and mean–CVaR models for portfolio selection with background risk. Risk Management, 21, 73-98.
Hair, J., Black, W. C., Babin, B. J., & Anderson, R. E. (2010). Multivariate Data Analysis (7th ed.). Upper Saddle River, New Jersey: Pearson Education International.
Hapsari, C., & Wasistha, G. H. (2018). Portfolio formation using the Fama-French five-factor model with modification of a profitability variable: An empirical study on the Indonesian stock exchange. In Competition and Cooperation in Economics and Business (pp. 83-88). Routledge.
Hilton, R. W., Maher, M. W. C., & Selto, F. H. C. (2000). Cost Management: Strategies for Business Decisions, McGraw-Hill, New York, NY, USA.
Hodoshima, J., Garza–Gómez, X., & Kunimura, M. (2000). Cross-sectional regression analysis of return and beta in Japan. Journal of Economics and Business, 52(6), 515-533.
Hon, T. Y., Moslehpour, M., & Woo, K. Y. (2021). Review on behavioral finance with empirical evidence, Advances in Decision Sciences, 25(4), 15-41.
Hou, K., Chen, X., & Zhang, L. (2015). Digesting anomalies: An investment approach. Review of Financial Studies, 28(3), 650–705.
Hua, Z. (2022). A comparative analysis of the Fama-French five factor model. Frontier in Business, Economics and Management, 4(2), 34-42.
Hui, Y., Shi, M., Wong, W. K., & Zheng, S. (2024). Pragmatic attitude to large-scale Markowitz’s portfolio optimization and factor-augmented derating. International Review of Financial Analysis, 96, 103628.
Hui, Y., Wong, W. K., Bai, Z., & Zhu, Z. Z. (2017). A new nonlinearity test to circumvent the limitation of Volterra expansion with application. Journal of the Korean Statistical Society, 46, 365-374.
Hur, J. (2024). A Cross-sectional asset pricing test with more power: An instrumental variable approach. In Handbook of Investment Analysis, Portfolio Management, and Financial Derivatives: In 4 Volumes (pp. 3547-3581).
Huynh, T. (2018). Explaining anomalies in Australia with a five‐factor asset pricing model. International Review of Finance, 18(1), 123-135.
Iqbal, J. (2012). Stock market in Pakistan: An overview. Journal of Emerging Market Finance, 11(1), 61-91.
Irtiza, M. S., Khan, S., Baig, N., Tirmizi, S. M. A., & Ahmad, I. (2021). The turn-of-the-month effect in Pakistani stock market. Future Business Journal, 7, 1-11.
Jagannathan, R., & Wang, Z. (1998). An asymptotic theory for estimating beta‐pricing models using cross‐sectional regression. The journal of finance, 53(4), 1285- 1309.
Jegadeesh, N., & Titman, S. (1993). Return to buying winners and selling losers: Implications
for Stock Market Efficiency. Journal of Finance, 48(1), 65-91.
Johari, S. M., Wong, W. K., & Ayu, A. R. F. L. (2022). Driven determinants to Indonesia Sharia commercial banks' performance: the important role of diversification strategy. Advances in Decision Sciences, 26(2), 1-31.
Joyo, A. S., & Lefen, L. (2019). Stock market integration of Pakistan with its trading partners: A multivariate DCC-GARCH model approach. Sustainability, 11(2), 303.
Kan, R., Robotti, C., & Shanken, J. (2013). Pricing model performance and the two‐pass cross‐sectional regression methodology. Journal of Finance, 68(6), 2617-2649.
Karolyi, G. A., & Van Nieuwerburgh, S. (2020). New methods for the cross-section of returns. Review of Financial Studies, 33(5), 1879-1890.
Khan, N., Afeef, M., & Zada, H. (2025). Human capital in asset pricing: The case of the Brazilian stock market during crisis periods. Modern Finance, 3(2), 29–57.
Khan, N., Zada, H., Ahmed, S., Shah, F. A., & Jan, S. (2023). Human capital-based four-factor asset pricing model: An empirical study from Pakistan. Heliyon, 9(5), e16328.
Khan, N., Zada, H., & Yousaf, I. (2022). Does premium exist in the stock market for labor-income growth rate? A six-factor-asset-pricing model: Evidence from Pakistan. Annals of Financial Economics, 17(3), 250017.
Khudoykulov, K. (2020). Asset-pricing models: A case of Indian capital market. Cogent Economics & Finance, 8(1), 1832732.
Kim, D., Kim, T. S., & Min, B. K. (2011). Future labor income growth rate and the cross-section of equity returns. Journal and Banking and Finance, 35(1), 67-81.
Kolari, J. W., Huang, J. Z., Liu, W., & Liao, H. (2022). Further tests of the ZCAPM asset pricing model. Journal of Risk and Financial Management, 15(3), 137.
Kubota, K., & Takehara, H. (2018). Does the Fama and French five‐factor model work well in Japan?. International Review of Finance, 18(1), 137-146.
Kuehn, L. A., Simutin, M., & Wang, J. J. (2017). A labor capital asset pricing model. Journal of Finance, 72(5), 2131-2178.
Leung, P. L., Ng, H. Y., & Wong, W. K. (2012). An improved estimation to make Markowitz’s portfolio optimization theory users friendly and estimation accurate with application on the US stock market investment. European Journal of Operational Research, 222(1), 85-95.
Li, H., Bai, Z., Wong, W. K., & McAleer, M. (2022). Spectrally-corrected estimation for high-dimensional Markowitz mean-variance optimization. Econometrics and Statistics, 24, 133-150.
Li, Z., Hui, Y., Wong, W. K., & Lin, R. (2025). Portfolio selection based on mean-generalized variance analysis: Evidence from the G20 stock markets. Asia-Pacific Journal of Operational Research, 42(03), 2450016.
Lintner, J. (1965). Security prices, risk, and maximal gains from diversification. Journal of Finance, 20(4), 587-615.
Liu, W., & Kolari, J. W. (2022). Multifactor market indexes. Journal of Risk and Financial Management, 15(4), 155.
López-García, M. N., Trinidad-Segovia, J. E., Sánchez-Granero, M. A., & Pouchkarev, I. (2021). Extending the Fama and French model with a long term memory factor. European Journal of Operational Research, 291(2), 421-426.
Lu, R., Yang, C. C., & Wong, W. K. (2018). Time diversification: Perspectives from the economic index of riskiness. Annals of Financial Economics, 13(03), 1850011.
Maharani, A., & Narsa, I. M. (2023). Six-factor plus intellectual capital in the capital asset pricing model and excess stock return: Empirical evidence in emerging stock markets. Cogent Economics & Finance, 11(2), 1-17.
Maiti, M., & Balakrishnan, A. (2018). Is human capital the sixth factor? Journal of Economic Studies, 45(4), 710-737.
Maiti, M., & Vukovic, D. (2020). Role of human capital assets in measuring firm performance and its implication for firm valuation. Journal of Economic Structures, 9(47), 1-27.
Malevergne, Y., & Sornette, D. (2007). A two-factor asset pricing model and the fat tail distribution of firm sizes. arXiv preprint physics/0702027.
Malik, M. S., Munir, S., & Waheed, N. (2017). Is Pakistan stock market efficient? (A comprehensive study on Pakistan stock exchange). International Journal of Research-Granthaalayah, 5(4), 250-262.
Markowitz, H. (1952). Portfolio selection. Journal of Finance, 7(1), 77-91.
Mayers, D. (1972). Nonmarketable assets and capital market equilibrium under uncertainty. Studies in The Theory of Capital Markets, 1, 223-48.
Merton, R. C. (1973). An intertemporal capital asset pricing model. Econometrica, 41(5), 867–887.
Mittnik, S., Paolella, M. S., & Rachev, S. T. (2000). Diagnosing and treating the fat tails in financial returns data. Journal of Empirical Finance, 7(3-4), 389-416.
Mossin, J. (1966). Equilibrium in a Capital Asset Market. Econometrica, 34(4), 768-783.
Mousa, M. J., & Hmood, M. Y. (2024). Cross-sectional regression with proxies: A semi-parametric method. International Journal of Economics and Finance Studies, 17(01), 46-64
Nasir, I., Sheraz, M., & Dedu, S. (2022). Mixture models and Modelling volatility of returns–A study on Gaussian and heterogeneous heavy tail mixtures. Economic Computation & Economic Cybernetics Studies & Research, 56(4).
Novy-Marx, R. (2013). The other side of value: The gross profitability premium. Journal of Financial Economics, 108(1), 1-28.
Ozkan, N. (2018). Fama-French five factor model and the necessity of value factor: Evidence from Istanbul Stock Exchange. PressAcademia Procedia, 8, 14-17.
Paliienko, O., Naumenkova, S., & Mishchenko, S. (2020). An empirical investigation of the Fama-French five-factor model. Investment Management and Financial Innovations, 17(1), 143–155.
Pan, S., Long, S. C., Wang, Y., & Xie, Y. (2023). Nonlinear asset pricing in Chinese stock market: A deep learning approach. International Review of Financial Analysis, 87, 102627.
Prasad, S. S., Verma, A., Bakhshi, P., & Prasad, S. (2024). Superiority of six factor model in Indian stock market. Cogent Economics & Finance, 12(1), 241157.
Qi, L. (2017). Noisy prices and the Fama-French five-factor asset pricing model in China. Emerging Market Review, 31, 141-163.
Racicot, F. E., & Rentz, W. F. (2016). Testing Fama–French’s new five-factor asset pricing model: evidence from robust instruments. Applied Economics Letters, 23(6), 444-448.
Racicot, F. É., Rentz, W. F., & Théoret, R. (2018). Testing the new Fama and French factors with illiquidity: A panel data investigation. Finance, 39(3), 45-102.
Rehman, S., Sharif, S., Ullah, W., & Hayat, M. (2021). Realized skewness and momentum. Macroeconomics and Finance in Emerging Market Economies, 1–19.
Roy, R., & Shijin, S. (2018). A six-factor asset pricing model. Borsa Istanbul Review, 18(3), 205-217.
Sadhwani, R., Bhayo, M. U. R., & Bhutto, N. A. (2019). A test of the five-factor model in Pakistan. Pacific Business Review International, 11(7), 42-52.
Sardo, F., & Serrasqueiro, Z. (2017). A European empirical study of the relationship between firms’ intellectual capital, financial performance and market value. Journal of Intellectual Capital, 18(4), 771–788.
Sarwar, S., Tiwari, A. K., & Tingqiu, C. (2020). Analyzing volatility spillovers between oil market and Asian stock markets. Resources policy, 66, 101608.
Shanken, J. (1992). On the estimation of beta-pricing models. The Review of Financial Studies, 5(1), 1-33.
Shanken, J., & Zhou, G. (2007). Estimating and testing beta pricing models: Alternative methods and their performance in simulations. Journal of Financial Economics, 84(1), 40-86.
Sharpe, W. F. (1964). Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance, 19(3), 425-442.
Shijin, S., Gopalaswamy, A. K., & Acharya, D. (2012). Dynamic risk-return relation with human capital: A study on Indian markets. International Journal of Emerging Markets, 7(2), 146-159.
Škrinjarić, T. (2018). Rolling regression CAPM on Zagreb stock exchange: Can investors profit from it? Economic Review: Journal of Economics and Business, 16(2), 7-22.
Stambaugh, R. F., & Yuan, Y. (2017). Mispricing factors. Review of Financial Studies, 30, 1270–315.
Sulehri, F. A., & Ali, A. (2020). Impact of political uncertainty on Pakistan stock exchange: An event study approach. Journal of Advanced Studies in Finance, 11(2), 194-207.
Sutrisno, B., & Ekaputra, A. I. (2016). Uji empiris model asset pricing lima factor Fama-French Di Indonesia. Jurnal Keuangan dan Perbankan, 20(3), 343–357.
Tabash, M. I., Valappil, M., Iqbal, U., Farooq, U., & Woo, K. Y. (2023). Stock market reaction to general election in Pakistan: An event study methodology. Advances in Decision Sciences, 27(4), 90-113.
Thalassinos, E., Khan, N., Afeef, M., Zada, H., & Ahmed, S. (2025). The Role of Human Capital in Explaining Asset Return Dynamics in the Indian Stock Market During the COVID Era. Risks, 13(7), 136.
Thalassinos, E., Khan, N., Ahmed, S., Zada, H., & Ihsan, A. (2023). A comparison of competing assets pricing models: Empirical evidence from Pakistan. Risks, 11(4), 65.
Tisdell, C. A. (2018). Diversity in economic decision-making and behaviour: A new brief review. Advances in Decision Sciences, 22(A), 351-368.
Tuan, B. A., Luu, T. Q., Pan, S. H., & Wong, W. K. (2022). Wilson models and its applications in decision sciences. Advances in Decision Sciences, 26(5), 15-39.
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.
Wang, B., Waris, M., Adamiak, K., Adnan, M., Hamad, H. A., & Bhatti, S. M. (2024). The effects of the COVID-19 pandemic period on stock market return and volatility. Evidence from the Pakistan Stock Exchange. PLOS ONE, 19(4), e0295853.
Wernerfelt, B. (1984). A resource-based view of the firm. Strategic Management Journal, 5(2), 171–180.
Williams, B. J. (1938). The theory of investment value. Harvard University Press, Cambridge, MA.
Wong, W. K., Cheng, Y., & Yue, M. (2024a). Could regression of stationary series be spurious?. Asia-Pacific Journal of Operational Research, 2440017.
Wong, W. K., & Pham, M. T. (2022). Could the test from the standard regression model make significant regression with autoregressive noise become insignificant?. The International Journal of Finance, 34, 1–18.
Wong, W. K., & Pham, M. T. (2023). Could the test from the standard regression model make significant regression with autoregressive Yt and Xt become insignificant?. The International Journal of Finance, 35, 1–19.
Wong, W. K., & Pham, M.T. (2025b). Could the correlation of a stationary series with a non-stationary series obtain meaningful outcomes?. Annals of Financial Economics, forthcoming.
Wong, W. K., & Pham, M. T. (2025a). How to model a simple stationary series with a non-stationary series?. The International Journal of Finance, 37, 1–19.
Wong, W. K., Pham, M. T., & Yue, M. (2024b). Could regressing a stationary series on a non-stationary series obtain meaningful outcomes – a remedy. The International Journal of Finance, 36, 1–20.
Wong, W. K., & Yue, M. (2024). Could regressing a stationary series on a non-stationary series obtain meaningful outcomes?. Annals of Financial Economics, 19(03), 2450011.
Wong, W. K., Zhu, Z., Jiang, I. M., & Bouri, E. (2025). Arbitrage opportunities in no-arbitrage portfolios: The case of Bitcoin and Treasury Bills. Investment Analysts Journal, 1-32.
Woo, K. Y., Mai, C., McAleer, M., & Wong, W. K. (2020). Review on efficiency and anomalies in stock markets. Economies, 8(1), 20.
Zada, H., Afeef, M., & Hassan, A. (2017). Does Fama & French's five-factor model perform better than the capital asset pricing model and Fama & French's three-factor model? Evidence from an emerging equity market. Journal of Administrative & Business Studies, 2, 1-17.
Zada, H., Hassan, A., Khan, M. Z., & Afeef, M. (2019). An appropriate investment portfolio for stock market investors: evidence from Pakistan. Sarhad Journal of Management Sciences, 5(2), 343-356.
Zada, H., Rehman, M. U., & Khwaja, M. G. (2018). Application of Fama and French five factor model of asset pricing: Evidence from Pakistan stock market. International Journal of Economics, Management and Accounting, 26(1), 1-23.
Zaremba, A., & Czapkiewicz, A. (2017). Digesting anomalies in emerging European markets: A comparison of factor pricing models. Emerging Markets Review, 31, 1-15.
Zhang, Z., Yu, Y., Ma, Q., & Yao, H. (2022). A revised comparison between Fama and French five-factor model and three-factor model based on China's A-share market. Journal of Advances in Applied & Computational Mathematics, 9, 168-180.
Zhou, Z., Wu, J., Huang, P., & Xiong, X. (2025). Cross-sectional anomalies and conditional asset pricing models based on investor sentiment: evidence from the Chinese stock market. Financial Innovation, 11, 103.
Zimmermann, L. (2023). Enhanced global asset pricing factors. Journal of Financial and Quantitative Analysis, 58(6), 2692-2731.
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