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Leverage, options liabilities, and corporate bond pricing

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Abstract

The two major problems with typical structural models are the failure to attain a positive credit spread in the very short term, and overestimation of the overall level of the credit spread. We recognize the presence of option liabilities in a firm’s capital structure and the effect they have on the firm’s credit spread. Including option liabilities and employing a regime switching interest rate process to capture the business cycle resolves the above-mentioned drawbacks in explaining credit spreads. We find that the credit spread overestimation problem in one of the structural models, Collin-Dufresne and Goldstein (J Finan 56:1929–1957, 2001), can be resolved by combining option liabilities and the regime-switching interest rate process when dealing with an investment grade bond, whereas with junk bonds, only the regime-switching interest rate process is needed. We also examine vulnerable option values, debt values, and zero-coupon bond values with different model settings and leverage ratios.

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References

  • Altman E.I. (1992) Revisiting the high-yield bond market. Financial Management 21: 78–92

    Article  Google Scholar 

  • Altman E.I., Bencivenga J.C. (1995) A yield premium model for the high-yield debt market. Financial Analysts Journal 51(5): 49–56

    Article  Google Scholar 

  • Bansal R., Zhou H. (2002) Term structure of interest rates with regime shifts. Journal of Finance 5: 1997–2043

    Article  Google Scholar 

  • Betker, B. L. (1992). Management changes, equity bargain power and deviations from absolute priority in Chapter 11 bankruptcies. Working Paper, The Ohio State University.

  • Black F., Cox J. (1976) Valuing corporate securities: Some effects of bond indenture provisions. Journal of Finance 31: 351–367

    Article  Google Scholar 

  • Bodnar G., Hyat G., Marston R. (1998) Wharton survey of financial risk management by US non-financial firms. Financial Management 27: 70–91

    Article  Google Scholar 

  • Cao M., Wei J. (2001) Vulnerable options, risky corporate bonds and credit spread. Journal of Futures Markets 21(4): 301–327

    Article  Google Scholar 

  • Chen R.-R., Scott L. (1993) Maximum likelihood estimation for a multifactor equilibrium model of the term structure of interest rate. Journal of Fixed Income 3: 14–31

    Google Scholar 

  • Chen, R.-R., & Scott, L. (2003). Multi-factor Cox-Ingersoll-Ross models of the term structure: Estimates and tests from a Kalman filter model. Working paper, Rutgers University.

  • Collin-Dufresne P., Goldstein R. (2001) Do credit spreads reflect stationary leverage ratios? Journal of Finance 56: 1929–1957

    Article  Google Scholar 

  • Collin-Dufresne P., Goldstein R.S., Martin J.S. (2001) The determinants of credit spread changes. Journal of Finance 56: 2177–2207

    Article  Google Scholar 

  • Cox J.C., Ingersoll J.E., Ross S.A. (1985) A theory of the term structure of interest rates. Econometrica 53: 385–407

    Article  Google Scholar 

  • Crouchy M., Galai D., Mark R. (2001) Prototype risk rating system. Journal of Banking and Finance 25: 47–95

    Article  Google Scholar 

  • Davies A. (2004) Credit spread modeling with regime-switching techniques. Journal of Fixed Income 14(3): 36–48

    Google Scholar 

  • Duffie D., Singleton K.J. (1997) An econometric model of the term structure of interest-rate swap yields. Journal of Finance 52: 1287–1321

    Article  Google Scholar 

  • Duffie D., Singleton K.J. (1999) Modeling term structure of defaultable bonds. Review of Financial Studies 12: 687–720

    Article  Google Scholar 

  • Duffee G. (1999) Estimating the price of default risk. Review of Financial Studies 12: 197–226

    Article  Google Scholar 

  • Eom Y.H., Helwege J., Huang J. (2004) Structural models of corporate bond pricing: An empirical analysis. Review of Financial Studies 17: 499–544

    Article  Google Scholar 

  • Episcopos A. (2004) Contingent claims valuation when capital structure includes options liability. Journal of Derivatives 4: 21–32

    Article  Google Scholar 

  • Fons J.S. (1994) Using default rates to model the term structure of credit risk. Financial Analyst Journal 50(5): 25–32

    Article  Google Scholar 

  • Franks J.R., Torous W. (1994) A comparison of financial recontracting in distressed exchanges and Chap 11 reorganizations. Journal of Financial Economics 35: 349–370

    Article  Google Scholar 

  • Garcia R., Perron P. (1996) An analysis of the real interest rate under regime shifts. Review of Economics and Statistics 78: 111–125

    Article  Google Scholar 

  • Géczy C., Minton B.A., Schrand C. (2004) Taking a view: Corporate speculation, governance and compensation. Journal of Finance 62: 2405–2444

    Article  Google Scholar 

  • Hamilton J.D. (1989) A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica 57: 357–384

    Article  Google Scholar 

  • Helwege J., Turner C. (1999) The slope of the credit yield curve for speculative grade issuers. Journal of Finance 54: 1869–1884

    Article  Google Scholar 

  • Howton S., Perfect S. (1998) Currency and interest-rate derivatives use in US firms. Financial Management 27: 111–121

    Article  Google Scholar 

  • Huang, J. Z., & Huang, M. (2003). How much of the corporate treasury yield spread is due to credit risk. Working Paper, Penn. State University and Stanford University.

  • Huang, H., & Yildirim, Y. (2007). Lease financing, credit risk, and optimal capital structure. Working Paper, Syracuse University.

  • Hull J. (2000) Option, futures, and other derivatives. Prentice Hall, Upper Saddle River, NJ

    Google Scholar 

  • ISDA Master Agreement. (2003). International Swap Dealers Association Inc.

  • Jarrow R., Turnbull S. (1995) Pricing derivatives on financial securities subject to credit risks. Journal of Finance 50: 53–85

    Article  Google Scholar 

  • Jones E.P., Mason S.P., Rosenfeld E. (1984) Contingent claims analysis of corporate capital structures: An empirical investigation. Journal of Finance 39: 611–627

    Article  Google Scholar 

  • Klein P., Inglis M. (2001) Pricing vulnerable European options when the option’s payoff can increase risk of financial distress. Journal of Banking and Finance 25: 993–1012

    Article  Google Scholar 

  • Leland H.E. (1994a) Risky debt, bond covenants and optimal capital structure. Journal of Finance 49: 1213–1252

    Article  Google Scholar 

  • Leland H.E. (1994b) Optimal capital structure, endogenous bankruptcy, and the term structure of credit spreads. Journal of Finance 51: 987–1019

    Article  Google Scholar 

  • Leland, H. E. (2006). Structure models in corporate finance: Lecture 2. Bendheim Lectures in Finance, Princeton University.

  • Leland H.E., Toft K.B. (1996) Optimal capital structure, endogenous bankruptcy, and the term structure of credit spreads. Journal of Finance 51: 987–1019

    Article  Google Scholar 

  • Longstaff F.A., Schwartz E.S. (1995) A simple approach to valuing risky and floating rate debt. Journal of Finance 50: 789–819

    Article  Google Scholar 

  • Merton R.C. (1974) On the pricing of corporate debt: The risk structure of interest rates. Journal of Finance 29: 449–470

    Article  Google Scholar 

  • Merton R.C. (1976) Option pricing when underlying stock returns are discontinuous. Journal of Financial Economics 5: 241–249

    Article  Google Scholar 

  • Morris, C., Neale, R., & Rolph, D. (1998). Credit spreads and interest rates: A cointegration approach. Working Paper, Federal Reserve Bank of Kansas City.

  • Sarig O., Warga A. (1989) Some empirical estimates of the risk structure of interest rates. Journal of Finance 44: 1351–1360

    Article  Google Scholar 

  • Shreve E.S. (2004) Stochastic calculus for finance II: Continuous-time models. Springer, New York

    Google Scholar 

  • Vasicek O. (1977) An equilibrium characterization of the term structure. Journal of Financial Economics 5: 177–188

    Article  Google Scholar 

  • Zhou, C. (1997). The term structure of credit spreads with jump risk. Working Paper, Federal Reserve Board.

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Correspondence to Yildiray Yildirim.

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Huang, H., Yildirim, Y. Leverage, options liabilities, and corporate bond pricing. Rev Deriv Res 11, 245–276 (2008). https://doi.org/10.1007/s11147-008-9028-8

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