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Capital Asset Pricing Model (CAPM) 2.0: Account of Business and Financial Risk

https://doi.org/10.26794/2587-5671-2024-28-2-128-142

Abstract

The famous Capital Asset Pricing Model (CAPM), widely used in practice, takes into account only the business risk associated with investments in a specific company [not the entire market (or industry)]. In practice, most listing companies use debt financing and operate at a non-zero leverage level. This means that the financial risk associated with the use of debt financing, along with business risk, must be taken into account. The purpose of this paper is to simultaneously account for business and financial risk. We combined the CAPM theory and the Modigliani-Miller (MM) theory, which is the perpetual limit of the BFO (Brusov-Filatova-Orekhova) theory. The article shows that R. Hamada’s attempt to take into account both business and financial risks has proved unsustainable, and the formulas he obtained, widely used in practice, are incorrect. The paper outlines the correct formulae that made it possible to generalize CAPM for the first time, taking into account both business and financial risk. The application of the new CAPM 2.0 model to a number of companies is considered and the difference between the results obtained within the framework of CAPM 2.0 and CAPM is demonstrated. CAPM is one of the main models [along with APT (arbitrage pricing theory) and WACC] within the income approach to business valuation. This significantly increases the value of the developed CAPM 2.0 approach, which can significantly improve the accuracy of the assessment.

About the Authors

P. N. Brusov
Финансовый университет
Russian Federation

Peter N. Brusov — Dr. Sci. (Phys. and Math.), Prof., Department of Mathematics, Financial University.

Moscow


Competing Interests:

The authors have no conflicts of interest to declare. 



T. V. Filatova
Финансовый университет
Russian Federation

Tatiana V. Filatova — Cand. Sci. (Econ.), Prof., Department of Financial and Investment Management, Financial University.

Moscow


Competing Interests:

The authors have no conflicts of interest to declare. 



V. L. Kulik
Дойче Банк Лтд
Russian Federation

Veniamin L. Kulik — Account Manager, Deutsche Bank Ltd.

Moscow


Competing Interests:

The authors have no conflicts of interest to declare. 



References

1. Treynor J.L. How to evaluate the management of investment funds. Harvard Business Review 1965;43(1):63–75.

2. French C. W. The Treynor capital asset pricing model. Journal of Investment Management. 2003;1(2):60–72. URL: https://www.finance.martinsewell.com/capm/French2003.pdf

3. Sharpe W. F. Capital asset prices: A theory of market equilibrium under conditions of risk. The Journal of Finance. 1964;19(3):425–442. DOI: 10.1111/j.1540–6261.1964.tb02865.x

4. Mossin J. Equilibrium in a capital asset market. Econometrica. 1966;34(4):768–783. DOI: 10.2307/1910098

5. Lintner J. The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets. The Review of Economics and Statistics. 1965;47(1):13–37. DOI: 10.2307/1924119

6. Fama E.F., French K.R. The cross-section of expected stock returns. The Journal of Finance. 1992;47(2):427– 465. DOI: 10.2307/2329112

7. Fama E. F., French K. R. Common risk factors in the returns on stocks and bonds. Journal of Financial Economics. 1993;33(1):3–56. DOI: 10.1016/0304–405X(93)90023–5

8. Fama E. F., French K. R. Size and book‐to‐market factors in earnings and returns. The Journal of Finance. 1995;50(1):131–155. DOI: 10.1111/j.1540–6261.1995.tb05169.x

9. Fama E. F. The behavior of stock-market prices. The Journal of Business. 1965;38(1):34–105. DOI: 10.1086/294743

10. Leal D., Jiménez R., Riquelme M., Leiva V. Elliptical capital asset pricing models: Formulation, diagnostics, case study with Chilean data, and economic rationale. Mathematics. 2023;11(6):1394. DOI: 10.3390/math11061394

11. Zhou G. Asset-pricing tests under alternative distributions. The Journal of Finance. 1993;48(5):1927–1942. DOI: 10.1111/j.1540–6261.1993.tb05134.x

12. Lange K. L., Little R. J.A., Taylor J. M.G. Robust statistical modeling using the t distribution. Journal of the American Statistical Association. 1989;84(408):881–896. DOI: 10.2307/2290063

13. Chen J., Wu Y., Xu Y. Research and analysis of asset pricing model based on the empirical test of stock price. In: Proc. 3rd Int. conf. on economic management and cultural industry (ICEMCI 2021). (Guangzhou, October 22–24, 2021). Dordrecht: Atlantis Press International B. V.; 2021:1288–1293. DOI: 10.2991/assehr.k.211209.209

14. Blattberg R. C., Gonedes N. J. A comparison of the stable and student distributions as statistical models for stock prices. The Journal of Business. 1974;47(2):244–280. DOI: 10.1086/295634

15. Hamada R. S. Portfolio analysis, market equilibrium and corporate finance. The Journal of Finance. 1969;24(1):13–31. DOI: 10.1111/j.1540–6261.1969.tb00339.x

16. Hamada R. S. The effect of the firm’s capital structure on the systematic risk of common stocks. The Journal of Finance. 1972;27(2):435–452. DOI: 10.1111/j.1540–6261.1972.tb00971.x

17. Modigliani F., Miller M. H. The cost of capital, corporation finance and the theory of investment. The American Economic Review. 1958;48(3):261–297.

18. Modigliani F., Miller M. H. Corporate income taxes and the cost of capital: A correction. The American Economic Review. 1963;53(3):433–443.

19. Brusov P., Filatova T., Orekhova N. Generalized Modigliani-Miller theory: Applications in corporate finance, investments, taxation and ratings. Cham: Springer-Verlag; 2022. 362 p. DOI: 10.1007/978–3–030–93893–2

20. Brusov P., Filatova T. Capital structure theory: Past, present, future. Mathematics. 2023;11(3):616. DOI: 10.3390/math11030616

21. Brusov P., Filatova T., Orekhova N. The Brusov-Filatova-Orekhova theory of capital structure: Applications in corporate finance, investments, taxation and ratings. Cham: Springer-Verlag; 2023. 769 p. DOI: 10.1007/978–3–031–27929–4

22. Brusov P., Filatova T., Kulik V. Capital asset pricing Model 2.0: Account of business and financial risk. Preprints. 2023:2023100347. DOI: 10.20944/preprints202310.0347.v1

23. Ross S.A. The arbitrage theory of capital asset pricing. Journal of Economic Theory. 1976;13(3):341–360. DOI: 10.1016/0022–0531(76)90046–6

24. Brusov P., Filatova T., Kulik V., Chang S.-I., Lin G., Chang L.-M. Can CAPM (Capital Asset Pricing Model) accurately value assets? In: Li E. Y., ed. Proc. 23rd Int. conf. on electronic business (ICEB’23). (Chiayi, October 19–23, 2023). Atlanta, GA: Association of Information Systems; 2023:60–70. URL: https://iceb.johogo.com/proceedings/2023/ICEB2023_paper_65.pdf

25. Brusov P., Filatova T., Kulik V., Chang S.-I., Lin G., Chang L.-M. Precision finance: Capital structure theories approach reality. In: Li E. Y., ed. Proc. 23rd Int. conf. on electronic business (ICEB’23). (Chiayi, October 19– 23, 2023). Atlanta, GA: Association of Information Systems; 2023:466–480. URL: https://iceb.johogo.com/proceedings/2023/ICEB2023_paper_66.pdf


Review

For citations:


Brusov P.N., Filatova T.V., Kulik V.L. Capital Asset Pricing Model (CAPM) 2.0: Account of Business and Financial Risk. Finance: Theory and Practice. 2024;28(2):128-142. https://doi.org/10.26794/2587-5671-2024-28-2-128-142

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