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Estimating the Structural Credit Risk Model When Equity Prices Are Contaminated by Trading Noises

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Author Info
Duan, Jin-Chuan () (Rotman School of Management, University of Toronto)
Fulop, Andras () (ESSEC Business School)
Abstract

The transformed-data maximum likelihood estimation (MLE) method for structural credit risk models developed by Duan (1994) is extended to account for the fact that observed equity prices may have been contaminated by trading noises. With the presence of trading noises, the likelihood function based on the observed equity prices can only be evaluated via some nonlinear filtering scheme. We devise a particle filtering algorithm that is practical for conducting the MLE estimation of the structural credit risk model of Merton (1974). We implement the method on the Dow Jones 30 firms and on 100 randomly selected firms, and find that ignoring trading noises can lead to significantly over-estimating the firm’s asset volatility. The estimated magnitude of trading noise is in line with the direction that a firm’s liquidity will predict based on three common liquidity proxies. A simulation study is then conducted to ascertain the performance of the estimation method.

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Publisher Info
Paper provided by ESSEC Research Center, ESSEC Business School in its series ESSEC Working Papers with number DR 06015.

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Length: 30 pages
Date of creation: Oct 2006
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Handle: RePEc:ebg:essewp:dr-06015

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Postal: ESSEC Research Center, BP 105, 95021 Cergy, France
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Related research
Keywords: Credit Risk; Maximum Likelihood; Microstructure; Option Pricing; Particle Filtering;

Find related papers by JEL classification:
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  3. Hasbrouck, Joel, 1993. "Assessing the Quality of a Security Market: A New Approach to Transaction-Cost Measurement," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 6(1), pages 191-212. [Downloadable!] (restricted)
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  6. Ananth Madhavan & Matthew Richardson & Mark Roomans, 1996. "Why Do Security Prices Change? A Transaction-Level Analysis of NYSE Stocks," New York University, Leonard N. Stern School Finance Department Working Paper Seires 96-34, New York University, Leonard N. Stern School of Business-.
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  7. Jan Ericsson, 2005. "Estimating Structural Bond Pricing Models," Journal of Business, University of Chicago Press, vol. 78(2), pages 707-706, March. [Downloadable!]
  8. Zhang, Lan & Mykland, Per A. & Ait-Sahalia, Yacine, 2005. "A Tale of Two Time Scales: Determining Integrated Volatility With Noisy High-Frequency Data," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 1394-1411, December. [Downloadable!] (restricted)
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  9. Duan, Jin-Chuan & Yu, Min-Teh, 1994. "Assessing the cost of Taiwan's deposit insurance," Pacific-Basin Finance Journal, Elsevier, vol. 2(1), pages 73-90, March. [Downloadable!] (restricted)
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  10. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June. [Downloadable!] (restricted)
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  12. Ericsson, Jan & Reneby, Joel, 2003. "Valuing Corporate Liabilities," SIFR Research Report Series 15, Institute for Financial Research. [Downloadable!]
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