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On stock-based loans

Author

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  • McWalter, Thomas A.
  • Ritchken, Peter H.

Abstract

We investigate the equilibrium interest rate charges on non-recourse and recourse loans secured by stock. In such loans, the client retains the option to prepay and recover the collateral stock. We adopt a structural model of the firm where debt levels, with endogenous bankruptcy, affect equity dynamics. Complicating matters, the link between total equity and the price of a share of stock that forms the collateral depends on the extent of dilutions and buybacks that occur. For levered firms, due to dilution in bad states of nature, stock prices typically fall faster than equity values; and for firms that engage in buybacks in good states of nature, stock prices will rise faster than equity values. Banks that ignore these features underestimate the equilibrium interest rate charge on stock-based loans. We provide an analysis of individual stock-based loans and their portfolio characteristics, the latter of which can be used by banks to ascertain capital requirements.

Suggested Citation

  • McWalter, Thomas A. & Ritchken, Peter H., 2022. "On stock-based loans," Journal of Financial Intermediation, Elsevier, vol. 52(C).
    • Handle: RePEc:eee:jfinin:v:52:y:2022:i:c:s1042957322000444
    DOI: 10.1016/j.jfi.2022.100991
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    as
    1. Duan, Jin-Chuan, 1997. "Augmented GARCH (p,q) process and its diffusion limit," Journal of Econometrics, Elsevier, vol. 79(1), pages 97-127, July.
    2. Shen, Yinjie (Victor) & Wang, Wei & Zhou, Fuzhao, 2021. "Insider pledging in the U.S," Journal of Financial Stability, Elsevier, vol. 53(C).
    3. Pan, Jun, 2002. "The jump-risk premia implicit in options: evidence from an integrated time-series study," Journal of Financial Economics, Elsevier, vol. 63(1), pages 3-50, January.
    4. Jin‐Chuan Duan & Peter Ritchken & Zhiqiang Sun, 2006. "Approximating Garch‐Jump Models, Jump‐Diffusion Processes, And Option Pricing," Mathematical Finance, Wiley Blackwell, vol. 16(1), pages 21-52, January.
    5. Toft, Klaus Bjerre & Prucyk, Brian, 1997. "Options on Leveraged Equity: Theory and Empirical Tests," Journal of Finance, American Finance Association, vol. 52(3), pages 1151-1180, July.
    6. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 1997. "Empirical Performance of Alternative Option Pricing Models," Journal of Finance, American Finance Association, vol. 52(5), pages 2003-2049, December.
    7. Leland, Hayne E, 1994. "Corporate Debt Value, Bond Covenants, and Optimal Capital Structure," Journal of Finance, American Finance Association, vol. 49(4), pages 1213-1252, September.
    8. Ying Dou & Ronald W Masulis & Jason Zein, 2019. "Shareholder Wealth Consequences of Insider Pledging of Company Stock as Collateral for Personal Loans," The Review of Financial Studies, Society for Financial Studies, vol. 32(12), pages 4810-4854.
    9. Schönbucher, Philipp J., 2000. "Factor Models for Portofolio Credit Risk," Bonn Econ Discussion Papers 16/2001, University of Bonn, Bonn Graduate School of Economics (BGSE).
    10. Shuqing Jiang & Zongxia Liang & Weiming Wu, 2010. "Stock loan with Automatic termination clause, cap and margin," Papers 1005.1357, arXiv.org, revised Sep 2010.
    11. Geske, Robert, 1977. "The Valuation of Corporate Liabilities as Compound Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 541-552, November.
    12. Kim, Woojin & Ko, YoungKyung & Wang, Shu-Feng, 2019. "Debt restructuring through equity issues," Journal of Banking & Finance, Elsevier, vol. 106(C), pages 341-356.
    13. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    14. Lim, Jongha & Schwert, Michael & Weisbach, Michael S., 2021. "The economics of PIPEs," Journal of Financial Intermediation, Elsevier, vol. 45(C).
    15. Broadie, Mark & Kaya, Özgür, 2007. "A Binomial Lattice Method for Pricing Corporate Debt and Modeling Chapter 11 Proceedings," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 42(2), pages 279-312, June.
    16. Peter Ritchken & Rob Trevor, 1999. "Pricing Options under Generalized GARCH and Stochastic Volatility Processes," Journal of Finance, American Finance Association, vol. 54(1), pages 377-402, February.
    17. Chan, Konan & Chen, Hung-Kun & Hu, Shing-yang & Liu, Yu-Jane, 2018. "Share pledges and margin call pressure," Journal of Corporate Finance, Elsevier, vol. 52(C), pages 96-117.
    18. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    19. Pang, Caiji & Wang, Ying, 2020. "Stock pledge, risk of losing control and corporate innovation," Journal of Corporate Finance, Elsevier, vol. 60(C).
    20. Alex Backwell & Thomas A. McWalter & Peter H. Ritchken, 2022. "On buybacks, dilutions, dividends, and the pricing of stock‐based claims," Mathematical Finance, Wiley Blackwell, vol. 32(1), pages 273-308, January.
    21. DeAngelo, Harry & DeAngelo, Linda & Stulz, René M., 2010. "Seasoned equity offerings, market timing, and the corporate lifecycle," Journal of Financial Economics, Elsevier, vol. 95(3), pages 275-295, March.
    22. Ouyang, Caiyue & Xiong, Jiacai & Fan, Lyu, 2019. "Do insiders share pledging affect executive pay-for-performance sensitivity?," International Review of Economics & Finance, Elsevier, vol. 63(C), pages 226-239.
    23. Heston, Steven L & Nandi, Saikat, 2000. "A Closed-Form GARCH Option Valuation Model," The Review of Financial Studies, Society for Financial Studies, vol. 13(3), pages 585-625.
    24. Matheus R. Grasselli & Cesar Gómez, 2013. "Stock Loans in Incomplete Markets," Applied Mathematical Finance, Taylor & Francis Journals, vol. 20(2), pages 118-136, April.
    25. Kornelia Fabisik, 2019. "Why Do U.S. CEOs Pledge Their Own Company's Stock?," Swiss Finance Institute Research Paper Series 19-60, Swiss Finance Institute.
    26. Chamizo, Álvaro & Fonollosa, Alexandre & Novales, Alfonso, 2019. "Forward-looking asset correlations in the estimation of economic capital," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 61(C), pages 264-288.
    27. Dothan, L. Uri, 1978. "On the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 6(1), pages 59-69, March.
    28. Christie, Andrew A., 1982. "The stochastic behavior of common stock variances : Value, leverage and interest rate effects," Journal of Financial Economics, Elsevier, vol. 10(4), pages 407-432, December.
    29. Chi Chung Siu & Sheung Chi Phillip Yam & Wei Zhou, 2016. "Callable Stock Loans," World Scientific Book Chapters, in: Masaaki Kijima & Yukio Muromachi & Takashi Shibata (ed.), RECENT ADVANCES IN FINANCIAL ENGINEERING 2014 Proceedings of the TMU Finance Workshop 2014, chapter 8, pages 161-197, World Scientific Publishing Co. Pte. Ltd..
    30. Duellmann, Klaus & Küll, Jonathan & Kunisch, Michael, 2010. "Estimating asset correlations from stock prices or default rates--Which method is superior?," Journal of Economic Dynamics and Control, Elsevier, vol. 34(11), pages 2341-2357, November.
    31. Jin‐Chuan Duan, 1995. "The Garch Option Pricing Model," Mathematical Finance, Wiley Blackwell, vol. 5(1), pages 13-32, January.
    32. Cai, Ning & Sun, Lihua, 2014. "Valuation of stock loans with jump risk," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 213-241.
    33. Philipp Jostarndt, 2009. "Equity Offerings in Financial Distress – Evidence from German Restructurings," Schmalenbach Business Review (sbr), LMU Munich School of Management, vol. 61(1), pages 84-111, January.
    34. Bates, David S., 2000. "Post-'87 crash fears in the S&P 500 futures option market," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 181-238.
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    More about this item

    Keywords

    Stock-based loans; Margin loans; Structural models; Payout policy; Buybacks; Dilution;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • G35 - Financial Economics - - Corporate Finance and Governance - - - Payout Policy

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