Estimating structural credit risk models when market prices are contaminated with noise. (5th May 2015)

• Record Type: Journal Article
• Authors: Kwon*†‡, Tae Yeon; Lee, Yoonjung
• Is Part Of: Applied stochastic models in business and industry. Volume 32:Number 1(2016:Jan./Feb.)
• Page Start: 18
• Page End: 32
• Publication Date: 2015-05-05
• Subjects: Black–Cox model -- stock market noise -- cross‐asset class research -- particle‐filter algorithm -- sampling‐importance‐resampling (SIR) -- generalized Gibbs sampling; Stochastic analysis -- Periodicals; Stochastic processes -- Periodicals; Business mathematics -- Periodicals; Finance -- Mathematical models -- Periodicals; Industrial management -- Mathematical models -- Periodicals; 338.00151923
• DOI: 10.1002/asmb.2120
• Languages: English
• ISSNs: 1524-1904

Abstract

Abstract : In this paper, sequential estimation on hidden asset value and model parameter estimation is implemented under the Black–Cox model. To capture short‐term autocorrelation in the stock market, we assume that market noise follows a mean reverting process. For estimation, Bayesian methods are applied in this paper: the particle filter algorithm for sequential estimation of asset value and the generalized Gibbs and multivariate adapted Metropolis methods for model parameters estimation. The first simulation study shows that sequential hidden asset value estimation using both option price and equity price is more efficient than estimation using equity price alone. The second simulation study shows that, by applying the generalized Gibbs sampling and multivariate adapted Metropolis methods, model parameters can be estimated successfully. In an empirical analysis, the stock market noise for firms with more liquid stock is estimated as having smaller volatility. Copyright © 2015 John Wiley & Sons, Ltd.