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Evaluation of conducting capital structure arbitrage using the multi-period extended Geske–Johnson model

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Abstract

This study utilizes a multi-period structural model developed by Chen and Yeh (Pricing credit default swaps with the extended Geske–Johnson Model. Working paper, 2006), which extends the Geske and Johnson (J Financ Quant Anal 19:231–232, 1984) compound option model to evaluate the performance of capital structure arbitrage. In the paper, first of all, we predict the default probability for each firm using the multi-period Geske–Johnson model that assumes endogenous default barriers. Second, based on the arbitrage performance of 369 North American obligators from 2004 to 2008, we find that the extended Geske–Johnson model is more suitable than the CreditGrades model for exploiting the mispricing between equity prices and credit default swap spreads. Finally, the Geske–Johnson model also performs well in extreme market condition, such as the financial crisis around 2008.

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Notes

  1. See, for example, Duffie (1999), Longstaff et al. (2005) Hull et al. (2004), Houweling and Vorst (2005) and Blanco et al. (2005).

  2. The model in Chen and Yeh (2006) is based on the original work of Chen (2013) Credit risk modeling: a general framework.

  3. Chen and Panjer (2009) utilize jump-diffusion firm-value process and the observed credit spread to obtain the implied jump distribution. Doing so, they can remove the discrepancy in credit spreads between the structural model and the reduced-form model.

  4. The formulas provided by Geske (1977) are incorrect and corrected by Geske and Johnson (1984). However, Geske and Johnson only presented formulas for n = 2. Here, we generalize their formulas to an arbitrary n. In addition, Eldomiaty and Ismail (2008) find that long-term and short-term debt financing play important role in determining firm’s capital structure.

  5. High grade bonds contain more interest rate risk than credit risk.

  6. Chen et al. (2009) find that the Constant-Elasticity-of-Variance option pricing model could be a better candidate for pricing more complicated path-dependent options or credit risk models.

  7. Guedes and Opler (1996) find that speculative-grade firms typically borrow in the middle of the maturity spectrum, which is consistent with the theory that risky firms do not issue short-term debt in order to avoid inefficient liquidation. In addition, Rauh and Sufi (2010) show that firms that are downgraded from investment grade to speculative grade simultaneously increase their usage of both subordinated bonds and secured bank debt in the 2 years after a downgrade.

  8. This is consistent with Yu (2006) and Currie and Morris (2002). Yu (2006) found that individual correlations ranged from −5 to −15 % according to different data sample periods, indicating that capital structure arbitrage may be ineffective because of a weak correlation between the two markets.

References

  • Bajlum C, Larsen PT (2008) Capital structure arbitrage: model choice and volatility calibration. Working paper

  • Black F, Cox JC (1976) Valuing corporate securities: some effects of bond indenture provisions. J Financ 31:351–367

    Article  Google Scholar 

  • Black F, Scholes M (1973) The pricing of options and corporate liabilities. J Political Econ 81:637–654

    Article  Google Scholar 

  • Blanco R, Brennan S, Marsh IW (2005) An empirical analysis of the dynamic relationship between investment grade bonds and credit default swaps. J Financ 60:2255–2281

    Article  Google Scholar 

  • Calamos NP (2011) Convertible arbitrage: insights and techniques for successful hedging. John Wiley & Sons

  • Chatiras M, Mukherjee B (2004) Capital structure arbitrage: an empirical investigation using stocks and high yield bonds. Working paper, University of Massachusetts

  • Chen RR (2013) Credit risk modeling: a general framework. Encycl Financ 891–909

  • Chen CJ, Panjer H (2009) A bridge from ruin theory to credit risk. Rev Quant Financ Acc 32:373–403

    Article  Google Scholar 

  • Chen RR, Yeh SK (2006) Pricing credit default swaps with the extended Geske–Johnson Model. Working paper

  • Chen RR, Lee CF, Lee HH (2009) Empirical performance of the constant elasticity variance option pricing model. Rev Pac Basin Financ Mark Polic 12:177–217

    Article  Google Scholar 

  • Currie A, Morris J (2002, December) And now for capital structure arbitrage. Euromoney 33:38–43

    Google Scholar 

  • Duarte J, Longstaff FA, Yu F (2005) Risk and return in fixed income arbitrage: Nickels in front of a steamroller? Working paper, University of California

  • Duffie D (1999) Credit swap valuation. Financ Anal J 55:73–87

    Article  Google Scholar 

  • Eldomiaty TI, Ismail MA (2008) Modeling capital structure decisions in a transition market: empirical analysis of firms in Egypt. Rev Quant Financ Acc 32:211–233

    Article  Google Scholar 

  • Finger CC (2002) CreditGrades, technical document. RiskMetrics Group Inc., New York

    Google Scholar 

  • Geske R (1977) The valuation of corporate liabilities as compound options. J Financ Quant Anal 5:541–552

    Article  Google Scholar 

  • Geske R, Johnson H (1984) The valuation of corporate liabilities as compound options: a correction. J Financ Quant Anal 19:231–232

    Article  Google Scholar 

  • Guedes J, Opler T (1996) The determinants of the maturity of corporate debt issues. J Financ 51:1809–1833

    Article  Google Scholar 

  • Houweling P, Vorst T (2005) Pricing default swap: empirical evidence. J Int Money Financ 24:1200–1225

    Article  Google Scholar 

  • Hull J, Predescu M, White A (2004) The relationship between credit default swap spreads, bond yields, and credit rating announcements. J Bank Finance 28:2789–2811

    Article  Google Scholar 

  • Longstaff FA, Mithal S, Neis E (2005) Corporate yield spreads: default risk or liquidity? New evidence from the credit default swap market. J Financ 60:2213–2253

    Article  Google Scholar 

  • Merton RC (1974) On the pricing of corporate debt: the risk structure of interest rates. J Financ 29:449–470

    Google Scholar 

  • Rauh JD, Sufi A (2010) Capital structure and debt structure. Rev Financ Stud 23:4242–4280

    Article  Google Scholar 

  • Sepp A (2004) Analytical pricing of double-barrier options under a double exponential jump diffusion process: applications of Laplace transform. Int J Theor Appl Financ 7:151–175

    Article  Google Scholar 

  • Visockis R (2011) Capital structure arbitrage. Working paper

  • Yu F (2006) How profitable is capital structure arbitrage? Financ Anal J 62:47–62

    Article  Google Scholar 

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Acknowledgments

Shih-Kuo Yeh would like to thank the National Science Council, Taiwan, for financial support under the Project (NSC 98-2410-H-005-029).

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Correspondence to Tung-Hsiao Yang.

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Ju, HS., Chen, RR., Yeh, SK. et al. Evaluation of conducting capital structure arbitrage using the multi-period extended Geske–Johnson model. Rev Quant Finan Acc 44, 89–111 (2015). https://doi.org/10.1007/s11156-013-0400-x

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