Preview

Finance: Theory and Practice

Advanced search

Incorporating CAPM into Capital Structure Theories: Accounting for Business and Financial Risks

https://doi.org/10.26794/2587-5671-2024-28-5-83-108

Abstract

   In order to create a methodology for assessing the company’s main financial indicators, taking into account both business and financial risks, the CAPM and Fama-French models were included in the two main theories of capital structure - the Brusov-Filatova-Orekhova (BFO) theory and the Modigliani-Miller (MM) theory. CAPM takes into account systematic (business) risk, while capital structure theories take into account the financial risk of a specific company, associated with debt financing. As a result, generalized approaches (CAPM-BFO and CAPM–MM) were developed that take into account both types of risk: systematic (business) and financial. The Fama-French model with three and five factors is also considered and included. The latest versions of the two main theories of capital structure (BFO and MM), adapted to the established financial practice of the functioning of companies, are used, taking into account the real conditions of their work, such as variable income, frequent income tax payments, advance income tax payments, etc. Practical calculations have been made. They focus on (1) applying two versions of CAPM (market or industry) to real companies; (2) application to real companies of a new methodology developed by us for assessing the financial performance of a company, taking into account both business (market or industry) and financial risks. The calculations made for three real companies (Apple, Severstal, Polymetal) show that the financial performance of companies is highly dependent on the type of risks taken into account. Sometimes the difference between market and industry cases is small, sometimes it is significant. But the difference in financial indicators, while taking into account simultaneously financial and business risks, is always great. This means that taking into account simultaneously both financial and business risks is important for a correct assessment of the financial performance of companies. The developed approach makes it possible to use the powerful tools of these highly developed theories (BFO and MM) for the correct assessment of the main financial indicators of the company and their forecasting, taking into account both types of risks.

About the Authors

P. N. Brusov
Financial University
Russian Federation

Peter N. Brusov, Dr. Sci. (Phys. and Math.), Prof.

Department of Modeling and System Analysis

Moscow


Competing Interests:

The authors have no conflicts of interest to declare



T. V. Filatova
Financial University
Russian Federation

Tatiana V. Filatova, Cand. Sci. (Econ.), Prof.

Department of Financial and Investment Management

Moscow


Competing Interests:

The authors have no conflicts of interest to declare



V. L. Kulik
T-Bank
Russian Federation

Veniamin L. Kulik, Account Manager

Moscow


Competing Interests:

The authors have no conflicts of interest to declare



References

1. Treynor J. L. How to rate 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://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. 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 pp.

7. Brusov P., Filatova T., Orekhova N., Eskindarov M. Modern corporate finance, investments, taxation and ratings. 2<sup>nd</sup> ed. Cham: Springer Nature Switzerland AG; 2018. 595 p.

8. 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.

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

10. Brusov P., Filatova T., Orekhova N. Generalized Modigliani-Miller theory: Applications in corporate finance, investments, taxation and ratings. Cham: Springer-Verlag; 2022. 362 p.

11. Farber A., Gillet R., Szafarz A. A general formula for the WACC. International Journal of Business. 2006;11(2):211–218. URL: https://ijb.cyut.edu.tw/var/file/10/1010/img/852/V112–8.pdf

12. Fernandez P. A general formula for the WACC: A comment. International Journal of Business. 2007;12(3):399–403. URL: https://www.researchgate.net/publication/228255631_A_General_Formula_for_the_WACC_A_Comment

13. Fisher F. M., McGowan J. J. On the misuse of accounting rates of return to infer monopoly profits. The American Economic Review. 1983;73(1):82–97.

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

15. Fama E. F., French K. R. The cross-section of expected stock returns. The Journal of Finance. 1992;47(2):427–465. DOI: 10.1111/j.1540–6261.1992.tb04398.x

16. 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

17. 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

18. Fama E. F. The behavior of stock-market prices. The Journal of Business.1965;38(1):34–105. URL: https://www.parisschoolofeconomics.eu/docs/ferriere-nathalie/fama1965.pdf

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

20. 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

21. 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

22. 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

23. 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: 10.1080/01621459.1989.10478852

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

25. 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. URL: https://www-2.rotman.utoronto.ca/~kan/3032/pdf/FinancialAssetReturns/Blattberg_Gonedes_JB_1974.pdf

26. Becker D. M. The difference between Modigliani-Miller and Miles-Ezzell and its consequences for the valuation of annuities. Cogent Economics & Finance. 2021;9(1):1862446. DOI: 10.1080/23322039.2020.1862446

27. Cooper I. A., Nyborg K. G. The value of tax shields is equal to the present value of tax shields. Journal of Financial Economics. 2006;81(1):215–225. DOI: 10.1016/j.jfineco.2005.07.003

28. 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

29. 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., Chang S.-I., Yen B., eds. Proc. Int. conf. on electronic business (ICEB’23). (Chiayi, October 19–23, 2023). Nanjing: ICEB; 2023;23:60–70. URL: https://iceb.johogo.com/proceedings/2023/ICEB2023_paper_65.pdf

30. 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., Chang S.-I., Yen B., eds. Proc. Int. conf. on electronic business (ICEB’23). (Chiayi, October 19–23, 2023). Nanjing: ICEB; 2023;23:466–480. URL: https://iceb.johogo.com/proceedings/2023/ICEB2023_paper_66.pdf

31. 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. DOI: 10.26794/2587–5671–2024–28–2–128–142

32. Berk J. B., DeMarzo P. M. Corporate finance. Reading, MA: Pearson/Addison-Wesley; 2007. 988 p.


Review

For citations:


Brusov P.N., Filatova T.V., Kulik V.L. Incorporating CAPM into Capital Structure Theories: Accounting for Business and Financial Risks. Finance: Theory and Practice. 2024;28(5):83-108. https://doi.org/10.26794/2587-5671-2024-28-5-83-108

Views: 316


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2587-5671 (Print)
ISSN 2587-7089 (Online)