Zhong, Rui (2013) Credit Risk, Liquidity Risk and Asset Dynamics: Theory and Empirical Evidence. PhD thesis, Concordia University.
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Abstract
In this dissertation, we first generalize Leland (1994b)’s structural model from constant volatility to the state-dependent volatility with constant elasticity (CEV) and obtain the analytical solution for most variables of interest, including first-passage default probability, corporate debt and equity value. After incorporating jumps into asset dynamics, we develop an efficient algorithm to calculate the first passage default probability by adopting a restricted structure of default times and derive numerical solutions for the variables of interest. We find that the extra parameter in the CEV structural model has a significant impact on the optimal capital structure, the debt capacity, the term structure of credit spreads, the duration and convexity of risky debt, the equity volatility, the asset substitution impacts and the cumulative default probabilities.
Further, we incorporate the liquidity risk of the secondary bond market into the structural model with a constant elasticity of variance through the rollover channel and derive the analytical expressions for the variables of interest with an innovative method in Chapter 2. We find that state dependent volatility has noticeable impacts for all the interesting results, including the endogenous default boundary, the optimal leverage and the credit spreads, which depend on the value of the state dependence parameter.
In Chapter III, we compare the empirical performance of the two alternative volatility assumptions that we used in our study within the context of the Leland (1994b) model. Using time series data from both firm and risk level, We document that CEV structural model with the elasticity parameter around -0.67 on average exhibits a superior fitting in the CDS spreads across all the maturities. The relationship between the sign and value of and the firm specific measures of default risk, such as leverage ratios, CDS spreads and current ratios indicates that there is a tendency for to increase as the risk of the firm decreases, but that the tendency is weak and fluctuates. We also note that the CDPs generated by the CEV structural model can fit the Moody’s observed data much better compared to these with constant asset volatility.
In the last Chapter, we study the market efficiency between the CDS and Loan CDS (LCDS) markets by constructing a CDS and LCDS parity relation under the no arbitrage assumption. We document persistent and significant violations of this relation with the cross sectional data from both markets. We identify time-varying and significant positive arbitrage profits from an artificial default risk-free portfolio that trades in both markets and simultaneously longs an undervalued contract and shorts the corresponding overvalued contract for exactly the same underlying firm, maturity, currency and restructure clauses. We show that the profits cannot be accounted for by trading costs or imperfect data about loan recovery rates in the event of default. Using panel regressions with macroeconomic and firm-level variables, we find that firm-level informational asymmetry and difficulty of loan recovery in case of default are much more important than macroeconomic factors in accounting for the arbitrage profits.
| Divisions: | Concordia University > John Molson School of Business > Finance |
|---|---|
| Item Type: | Thesis (PhD) |
| Authors: | Zhong, Rui |
| Institution: | Concordia University |
| Degree Name: | Ph. D. |
| Program: | Business Administration (Finance specialization) |
| Date: | 13 April 2013 |
| Thesis Supervisor(s): | Perrakis, Stylianos and Kryzanowski, Lawrence and Isaenko, Sergey and Ericsson, Jan |
| Keywords: | credit risk, liquidity risk, structural models, asset dynamics |
| ID Code: | 976885 |
| Deposited By: | RUI ZHONG |
| Deposited On: | 21 Nov 2013 19:35 |
| Last Modified: | 18 Jan 2018 17:43 |
References:
Acharya, Viral V., Bharath Sreedhar T. and Srinivasan Anand, 2007, Does industry-wide distress affect defaulted firm? Evidence from creditor recoveries, Journal of Financial Economics 85, 787-821Acharya Viral V., Davydenko Sergei A., and Strebulaev Ilya A., 2012, Cash holding and credit risk, Review of Financial Studies 25(12), 3572-3609
Acharya, Viral V. and Timothy C. Johnson, 2007, Insider trading in credit derivatives, Journal of Financial Economics 84, 110-141.
Altman, Edward I., Brooks Brady, Andrea Resti and Andrea Sironi, 2005, The link between default and recovery rates: Theory, empirical evidence, and implications, Journal of Business 78, 2203-2228
Aragon, George O. and Philip E. Strahan, 2012, Hedge funds as liquidity providers: Evidence from the Lehman bankruptcy, Journal of Financial Economics 103, 570-587.
Ashcraft, Adam B. and Joao A.C.Santos, 2009, Has the CDS market lowered the cost of the corporate debt?, Journal of Monetary Economics 56, 514-523.
Anderson, R., and Sundaresan, S., 2000. A comparative study of structural models of corporate bond yields: an exploratory investigation, Journal of Banking and Finance 24, 255-269.
Baba, Naohiko and Frank Packer, 2009, From turmoil to crisis: Dislocations in the FX swap market before and after the failure of Lehman Brothers, Journal of International Money and Finance 28, 1350-1374.
Bai, Jennie, and P. Collin-Dufresne., The CDS-bond basis during the financial crisis of 2007-2009, 2011, working paper.
Baillie, R. T., G. G. Booth, Y.Tse, and T.Zabotina, 2002, Price discovery and common factor models, Journal of Financial Markets 5, 309-321.
Beckers Stan, 1980, The constant elasticity of variance model and its implications for option pricing, Journal of Finance 3, 66-673.
Berndt, Antje and Anastasiya Ostrovnaya, 2008, Do equity markets favor credit market news over options market news?, working paper, Carnegie Mellon University.
Black, F., and J. Cox, 1976. Valuing corporate securities: Some effects of bond indenture provisions, Journal of Finance 31, 351-367.
Black, F., and M. Scholes, 1973. The pricing of options and corporate liabilities, Journal of Political Economy 81, 637-654.
Bolton, Patrick and Martin Oehmke, 2011, Credit default swap and the empty creditor problem, Review of Financial Studies 24, 2617-2655.
Brockman, P. and X. Yan, 2009, Block ownership and firm-specific information, Journal of Banking and Finance 33, 308-316.
Briys, E., and F. De Varennes, 1997. Valuing risky fixed rate debt : an extension, Journal of Financial and Quantitative Analysis 32, 239-248.
Campi, L., Polbennikov, S., and Sbuelz, A., 2009. Systematic equity-based credit risk: A CEV model with jump to default, Journal of Economic Dynamics and Control 33, 93-108.
Cao, Charles, Fan Yu and Zhaodong Zhong, 2010, The information content of option-implied volatility for credit default swap valuation, Journal of Financial Markets 13, 321-343.
Cao, Charles, Fan Yu and Zhaodong Zhong, 2011, Pricing credit default swap with option-implied volatility, Financial Analysts Journal 67, 67-76.
Carlin, Bruce I., Shimon Kogan and Richar Lowery, forthcoming, Trading complex assets (April 22, 2012), Journal of Finance. Available at SSRN: http://ssrn.com/abstract=1961671 or http://dx.doi.org/10.2139/ssrn.1961671
Carlin, Bruce I. and Gustavo Manso, 2011, Obfuscation, learning, and the evolution of investor sophistication, Review of Financial Studies 24, 754-785.
Carlino, Gerald, Robert Defina and Keith Sill, The long and large decline in state employment growth volatility, forthcoming in the Journal of Money, Credit and Banking.
Carr, P., and Linetsky, V., 2006. A jump to default extended CEV model: an application of Bessel processes, Finance and Stochastics, 303-330.
Chan, K., G. Karolyi, F. Longstaff, and A. Sanders (1992), "An Empirical Comparison of Alternative Models of the Short Term Interest Rate", Journal of Finance, 1209-1228.
Chava, S., C. Stefanescu and S.M. Turnbull, 2006, Modeling expected loss with unobservable heterogeneity, working paper, London Business School.
Chen, C., A. Huang and R. Jha, 2012, Idiosyncratic return volatility and the information quality
underlying managerial discretion, Journal of Financial Quantitative Analysis 47, 873-899.
Chen, Long, Pierre Collin-Dufresne and Robert S.Goldstein, 2009, On the relation between the credit spread puzzle and the equity premium puzzle, Review of Financial Studies 22, 3367-3409.
Chen, N., and Kou, S. G., 2009. Credit spreads, optimal capital structure, and implied volatility with endogenous default and jump risk, Mathematical Finance 19, 343-378
Choi, J., and Richardson, M., 2009. The volatility of the firm’s assets, working paper, New York University.
Collin-Dufresne, P., and Goldstein, R. S., 2001. Do credit spreads reflect stationary leverage ratio? Journal of Finance 56, 1929-1957
Collin-Dufresne, Pierre, Robert S. Goldstein and Martin J. Spencer, 2001, The determinants of credit spread changes, Journal of Finance 56, 1095-1115.
Constantinides, G. M., M. Czerwonko, J. C. Jackwerth and S. Perrakis, 2011, Are options on index futures profitable for risk averse investors? Empirical Evidence, Journal of Finance 66, 1407-1437.
Coval, J. D., Jurek, J. and Stafford, E., 2008. The economics of structured finance, working paper, Harvard Business School.
Cox, J., 1975. Notes on option pricing I: Constant elasticity of variance diffusions, working paper, Stanford University (reprinted in Journal of Portfolio Management, 1996, 22 15-17)
Cox, J., and S. Ross, 1976. The valuation of options for alternative stochastic processes, Journal of Financial Economics 3, 145-166.
Cox, J., and M. Rubinstein, 1985. Option Markets, Englewood Cliffs, NJ: Prentice Hall.
Davydov, D., and V. Linetsky. 2000. Structuring, pricing and hedging double-barrier step options, Journal of Computational Finance 5, 55-87.
Davydov, D., and Linetsky, V., 2001. The valuation and hedging of barrier and lookback options under the CEV process, Management Science 47, 949-965.
Davydov, D., and V. Linetsky. 2003. Prcing options on scalar diffusions: An eigenfunction expansion approach, Operational Research 51, 185-209.
De Haas, Ralph and Neeltje Van Horen, 2012, International shock transmission after the Lehman Brothers collapse: Evidence from syndicated lending, American Economic Review Papers & Proceedings 102(3): 231–237. Available at SSRN: http://ssrn.com/abstract=1986749.
Doshi, Hitesh, Jan Ericsson, Kris Jacobs, and Stuart M. Turnbull, 2011, On pricing credit default swaps with observable covariates, working paper, University of Houston.
Driessen, J., P. J. Maenhout and G. Vilkov, 2009, The price of correlation risk: Evidence from equity options, Journal of Finance 64, 1377-1406.
Duan, J.C., 1994. Maximum likelihood estimation using price data of the derivative contract, Mathematical Finance 4, 155-167.
Duffie, D., and Lando, D., 2001. Term structure of credit spread with incomplete accounting information, Econometrica 69, 633-664.
Duffie, D., and Singleton, K.J., 1999. Modeling term structure of defaultable bonds, Review of Financial Studies 12, 687-720.
Emanuel, D., and MacBeth, J., 1982. Further results on the constant elasticity of variance call option pricing model, Journal Financial and Quantitative Analysis, 17, 533-554.
Elkamhi, Redouane, Jan Ericsson and Min Jiang, 2011, Time-varying asset volatility and the credit spread puzzle, working paper, McGill University.
Eom, Y. H., Helwege, J., and Huang, J. Z., 2004. Structural models of corporate bond pricing: An empirical analysis, Review of Financial Studies 17, 499-544.
Ericsson, Jan, Kris Jacobs, and Rodolfo Oviedo, 2009, The determinants of credit default swap premia, Journal of Financial and Quantitative Analysis 44, 109-132.
Ericsson, J., and Reneby, J., 2007. Estimating structural bond pricing models, Journal of Business 78, 707-735.
Feller, W., 1951, Two singular diffusion problems. The Annals of Mathematics 54, 173-182.
Goldstein, R., Ju, N., and Leland, H., 2001. An EBIT-based model of dynamic capital structure, Journal of Business 74, 483-511.
Greene, W. H., 2007, Econometric Analysis, 6th Edition, Pearson Education, Inc.
Forte, Santiago and Juan I. Pena, 2009, Credit spreads: An empirical analysis on the informational content of stocks, bonds, and CDS, Journal of Banking and Finance 33, 2013-2025.
Goyal, A. and A. Saretto, 2009, Cross-section of option returns and volatility, Journal of Financial Economics 94, 310-326.
Hackbarth, Dirk, Jianjun Miao and Erwan Morellec, 2006, Capital structure, credit risk, and macroeconomic conditions, Journal of Financial Economics 82, 519-550.
He, Z., and W. Xiong, 2012. Rollover Risk and Credit Risk, Journal of Finance 67, 391-429.
Heston, S. L., 1993. A Closed-Form Solution for Options with Stochastic Volatility, with Applications to Bond and Currency Options, Review of Financial Studies, 6, 327-344.
Hilberink, B., and L. Rogers., 2002. Optimal capital structure and endogenous default, Finance and Stochastics 6, 237-263.
Howard, Shek, Uematsu Shunichiro and Wei Zhen, 2007, Valuation of loan CDS and CDX, working paper, Stanford University.
Hu, Yen-Ting and William Perraudin, 2002, The dependence of recovery rates and defaults, working paper, Birkbeck College.
Huang J., 2005. Affine structure models of corporate bond pricing, working paper, Penn State University.
Huang J., and Zhou H., 2008. Specification analysis of structural credit risk models, working paper, Penn State University.
Huang J., and Huang, M., 2003. How much of the corporate-treasury yield spread is due to credit risk?, working paper, Penn State University and Stanford University.
Ingersoll, J.E., 1987. Theory of financial decision making. Rowman and Littlefield, Savage, MD.
Jackwerth, J. C., and Rubinstein M., 2001. Recovering stochastic processes from option prices, working paper, London Business School.
Jarrow, R., and Turnbull, S.M., 1995. Pricing derivatives on financial securities subject to credit risk, Journal of Finance 50, 53-85.
Jensen, M. and W. Meckling, 1976. Theory of the firm: Managerial behavior, agency costs, and ownership structure, Journal of Financial Economics 3, 305-360.
Jokivuolle, Esa and Samu Peura, 2003, Incorporating collateral value uncertainty in loss given default estimates and loan-to-value ratios, European Financial Management 9, 299-314
Ju, N., Parrino, R., and Poteshman, A., 2005. Horses and rabbits? Trade-off theory and optimal capital structure, Journal of Financial and Quantitative Analysis 40, 259-281.
Johnson, N. L., Kotz, S. & Balakrishnan, N., 1995. Continuous Univariate Distributions, Vol. 2, 2nd edition, John Wiley & Sons, Inc.
Kim, I.J., Ramaswamy, K., and Sundaresan, S., 1993, Does default risk in coupons affect the valuation of corporate bonds? A contingent claims model, Financial Management, special issue on financial distress.
Krishnaswami, S. and V. Subramaniam, 1999, Information asymmetry, valuation, and the corporate spin-off decision, Journal of Financial Economics 53, 73-112.
Lee, Dong Wook and Mark H. Liu, 2011, Does more information in stock price lead to greater or smaller idiosyncratic return volatility?, Journal of Banking and Finance 35, 1563-1580.
Leland, H., 1994a. Corporate debt value, bond covenants, and optimal capital structure, Journal of Finance, 49, 1213-1252.
Leland, H., 1994b. Bond prices, yield spreads, and optimal capital structure with default risk, Research Program in Finance Working paper series, University of California at Berkeley.
Leland, H., and Toft, K. 1996. Optimal capital structure, endogenous bankruptcy and the term structure of credit spreads, Journal of Finance 51, 987-1019.
Leland, H., 1998. Agency costs, risk management and capital structure, Journal of Finance 53, 1213-1243.
Leland, H., 2004. Predictions of default probabilities in structural models of debt, Journal of Investment Management 2, 5-20.
Leland, H., 2006. Structural models in corporate finance, Bendheim Lectures in Finance, Princeton University.
Liang, Jin and Yujing Zhou, 2010, Valuation of a basket loan credit default swap, International Journal of Financial Research 1, 21-29.
Longstaff, F., and Schwartz, E., 1995. Valuing risky debt: A new approach, Journal of Finance 50, 789-821.
Markit Company, 2007, Loan CDS Report.
Max, B., and Naqvi, H., 2010. A structural model of debt pricing with creditor-determined liquidation, Journal of Economics Dynamics and Control 34, 951-967.
Mella-Barral, P., and Perraudin, W., 1997. Strategic debt service, Journal of Finance 52, 531-556.
Mendoza, R., and Linetsky, V., 2009. Pricing equity default swap under the jump to default extended CEV model, working paper, Northwestern University.
Merrill Lynch, 2007, Pricing cancellable LCDS, Credit Derivatives Strategy.
Merton, R. C., 1974. On the pricing of corporate debt: The risky structure of interest rates, Journal of Finance 29, 449-470.
Minton, Bernadette A., Rene Stulz and Rohan Williamson, 2009, How much do banks use credit derivatives to hedge loan?, Journal of Finance Services Research 35, 1-31.
Moody’s, 2006, Special Comment: The distribution of common financial ratios by rating and industry for North American non-financial corporations: July 2006.
Moody’s, 2007, Special Comment: Moody’s financial metrics key ratios by rating and industry for global non-financial corporations: December 2007.
Moody’s, 2009, Special Comment: Corporate default and recovery rates, 1920-2008.
Moody’s, 2011, Special Comment: Corporate default and recovery rates, 1920-2010.
Morellec, E., 2004. Can managerial discretion explain observed leverage ratios, Journal of Financial Economics 61, 173-206.
Norden, Lars and Martin Weber, 2004, Informational efficiency of credit default swap and stock markets: The impact of credit rating announcements, Journal of Banking and Finance 28, 2813-2843.
Norden, Lars and Martin Weber, 2007, The co-movement of credit default swap, bond and stock markets: An empirical analysis, European Financial Management 15, 529-562.
Oancea, I.M., and S. Perrakis, 2010. “Jump-diffusion option valuation without a representative investor: a stochastic dominance approach,” Working Paper, Concordia University.
Qiu, Jiaping and Fan Yu, 2012, Endogenous liquidity in credit derivatives, Journal of Financial Economics 103, 611-631.
Sarkar, S., and Zapatero, F., 2003. The trade-off model with mean reverting earnings: Theory and empirical tests, Economic Journal 113, 834-860.
Schaefer, S.M., and Strebulaev, I. A., 2008, Structural models of credit risk are useful: evidence from hedge ratios on corporate bonds, Journal of Financial Economics 90, 1-19.
Schroder, M., 1989. Computing the constant elasticity of variance option pricing formula, Journal of Finance 44, 211-219.
Schweikhard, Frederic A. and Zoe Tsesmelidakis, The impact of government interventions on CDS and Equity Markets, working paper, Goethe University.
Stohs, M., and Mauer, D., 1996. The determinants of corporate debt maturity structure, Journal of Business, 69, 279-312.
Stulz, Rene M., 2009, Credit default swaps and the credit crisis, working paper, National Bureau of Economic Research.
Titman, S., and Tsyplakov, S., 2007. A dynamic model of optimal capital structure, Review of Finance 11, 401-451.
Whittaker, E.T., and Watson, G.N., 1990. A course in modern analysis, 4th edition, Cambridge, England: Cambridge University Press.
Zhang Y., Zhou H., and Zhu H., 2009, Explaining credit default swap spreads with the equity volatility and jump risks of individual firms, Review of Financial Studies 22, 5099-5131
Zhen, Wei, 2007, Valuation of loan CDS under intensity based model, working paper, Stanford University.
Zhou, C., 2001. The term structure of credit spreads with jump risk, Journal of Banking and Finance 25, 2015-2040
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