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Consistent valuation: extensions from bankruptcy costs and tax integration with time-varying debt

Author

Listed:
  • Nguyen Kim-Duc

    (University of Economics Ho Chi Minh City (UEH)
    University of Economics Ho Chi Minh City (UEH))

  • Pham Khanh Nam

    (University of Economics Ho Chi Minh City (UEH))

Abstract

This study introduces a new version of the adjusted present value (APV) method and ensures its consistent valuation with the cost of capital (CoC) method at the highest level of generalization. The newly developed APV version and equivalent formulae consider stochastic debt and the trade-off between corporate income taxes (CIT) and personal income taxes (PIT), as well as tax benefits and financial distress costs. The value of expected bankruptcy costs aligns with the valuation aspect, enabling practical application of the formulae by valuers. The equivalence also reflects the differing perspectives of tax shields between stockholders and debt holders when PITs are introduced. Ultimately, the results demonstrate that the equivalence in this study aligns with, and can reduce to, previous standard formulae, under their stringent assumptions.

Suggested Citation

  • Nguyen Kim-Duc & Pham Khanh Nam, 2024. "Consistent valuation: extensions from bankruptcy costs and tax integration with time-varying debt," Review of Quantitative Finance and Accounting, Springer, vol. 62(2), pages 719-754, February.
  • Handle: RePEc:kap:rqfnac:v:62:y:2024:i:2:d:10.1007_s11156-023-01217-5
    DOI: 10.1007/s11156-023-01217-5
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    References listed on IDEAS

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    1. Kim-Duc, Nguyen & Nam, Pham Khanh, 2023. "Inflation-related tax distortions in business valuation models: A clarification," The North American Journal of Economics and Finance, Elsevier, vol. 66(C).
    2. Miles, James A & Ezzell, John R, 1985. "Reformulating Tax Shield Valuation: A Note," Journal of Finance, American Finance Association, vol. 40(5), pages 1485-1492, December.
    3. Cooper, Ian A. & Nyborg, Kjell G., 2006. "The value of tax shields IS equal to the present value of tax shields," Journal of Financial Economics, Elsevier, vol. 81(1), pages 215-225, July.
    4. Enrique R. Arzac & Lawrence R. Glosten, 2005. "A Reconsideration of Tax Shield Valuation," European Financial Management, European Financial Management Association, vol. 11(4), pages 453-461, September.
    5. Ian A. Cooper & Kjell G. Nyborg, 2008. "Tax‐Adjusted Discount Rates with Investor Taxes and Risky Debt," Financial Management, Financial Management Association International, vol. 37(2), pages 365-379, June.
    6. repec:eme:mfppss:mf-09-2017-0335 is not listed on IDEAS
    7. Ian Cooper & Kjell G. Nyborg, 2007. "Valuing the Debt Tax Shield," Journal of Applied Corporate Finance, Morgan Stanley, vol. 19(2), pages 50-59, March.
    8. James H. Scott Jr., 1976. "A Theory of Optimal Capital Structure," Bell Journal of Economics, The RAND Corporation, vol. 7(1), pages 33-54, Spring.
    9. Myers, Stewart C, 1974. "Interactions of Corporate Financing and Investment Decisions-Implications for Capital Budgeting," Journal of Finance, American Finance Association, vol. 29(1), pages 1-25, March.
    10. Laurence Booth, 2007. "Capital Cash Flows, APV and Valuation," European Financial Management, European Financial Management Association, vol. 13(1), pages 29-48, January.
    11. Warner, Jerold B, 1977. "Bankruptcy Costs: Some Evidence," Journal of Finance, American Finance Association, vol. 32(2), pages 337-347, May.
    12. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    13. Peter Molnár & Kjell G. Nyborg, 2013. "Tax†adjusted Discount Rates: a General Formula under Constant Leverage Ratios," European Financial Management, European Financial Management Association, vol. 19(3), pages 419-428, June.
    14. Kraus, Alan & Litzenberger, Robert H, 1973. "A State-Preference Model of Optimal Financial Leverage," Journal of Finance, American Finance Association, vol. 28(4), pages 911-922, September.
    15. Mario Massari & Francesco Roncaglio & Laura Zanetti, 2008. "On the Equivalence between the APV and the wacc Approach in a Growing Leveraged Firm," European Financial Management, European Financial Management Association, vol. 14(1), pages 152-162, January.
    16. Myers, Stewart C., 1984. "Capital structure puzzle," Working papers 1548-84., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    17. Sven Arnold & Alexander Lahmann & Bernhard Schwetzler, 2018. "Discontinuous financing based on market values and the value of tax shields," Business Research, Springer;German Academic Association for Business Research, vol. 11(1), pages 149-171, February.
    18. Fernandez, Pablo, 2004. "The value of tax shields is NOT equal to the present value of tax shields," Journal of Financial Economics, Elsevier, vol. 73(1), pages 145-165, July.
    19. Gordon A. Sick, 1990. "Tax-Adjusted Discount Rates," Management Science, INFORMS, vol. 36(12), pages 1432-1450, December.
    20. Myers, Stewart C, 1984. "The Capital Structure Puzzle," Journal of Finance, American Finance Association, vol. 39(3), pages 575-592, July.
    21. Ian A. Cooper & Sergei A. Davydenko, 2007. "Estimating the Cost of Risky Debt," Journal of Applied Corporate Finance, Morgan Stanley, vol. 19(3), pages 90-95, June.
    22. Edward I. Altman, 1968. "Financial Ratios, Discriminant Analysis And The Prediction Of Corporate Bankruptcy," Journal of Finance, American Finance Association, vol. 23(4), pages 589-609, September.
    23. Fieten, Paul & Kruschwitz, Lutz & Laitenberger, Jorg & Loffler, Andreas & Tham, Joseph & Velez-Pareja, Ignacio & Wonder, Nicholas, 2005. "Comment on "The value of tax shields is NOT equal to the present value of tax shields"," The Quarterly Review of Economics and Finance, Elsevier, vol. 45(1), pages 184-187, February.
    24. Wolfgang Schultze, 2004. "Valuation, Tax Shields And The Cost-Of-Capital With Personal Taxes: A Framework For Incorporating Taxes," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 7(06), pages 769-804.
    25. Mike Dempsey, 2013. "Consistent Cash Flow Valuation with Tax†Deductible Debt: a Clarification," European Financial Management, European Financial Management Association, vol. 19(4), pages 830-836, September.
    26. Stewart C. Myers, 1984. "Capital Structure Puzzle," NBER Working Papers 1393, National Bureau of Economic Research, Inc.
    27. Miles, James A. & Ezzell, John R., 1980. "The Weighted Average Cost of Capital, Perfect Capital Markets, and Project Life: A Clarification," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(3), pages 719-730, September.
    28. John R. Graham, 2003. "Taxes and Corporate Finance: A Review," The Review of Financial Studies, Society for Financial Studies, vol. 16(4), pages 1075-1129.
    29. Michael Dempsey, 2019. "Discounting methods and personal taxes," European Financial Management, European Financial Management Association, vol. 25(2), pages 310-324, March.
    30. Ian A. Cooper & Kjell G. Nyborg, 2018. "Consistent valuation of project finance and LBOs using the flows†to†equity method," European Financial Management, European Financial Management Association, vol. 24(1), pages 34-52, January.
    31. Myers, Stewart C., 1977. "Determinants of corporate borrowing," Journal of Financial Economics, Elsevier, vol. 5(2), pages 147-175, November.
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