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Valuation of Defaultable Corporate Bonds Under Regime Switching

Yu-Min Lian and Jun-Home Chen ()
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Yu-Min Lian: Department of Business Administration, Fu Jen Catholic University, No. 510, Zhongzheng Rd., Xinzhuang Dist., New Taipei City 242062, Taiwan
Jun-Home Chen: Department of Business Administration, National Chin-Yi University of Technology, No. 57, Sec. 2, Zhongshan Rd., Taiping Dist., Taichung 411030, Taiwan

Mathematics, 2025, vol. 13, issue 22, 1-16

Abstract: This study investigates the valuation of defaultable corporate bonds using a two-factor model of Markov-modulated stochastic volatility with double exponential jumps (2FMMSVDEJ). This model captures long- and short-term SV and asymmetrical jumps in the underlying asset value. Concurrently, the firm’s debt dynamics are governed by a Markov-modulated GBM (MMGBM) model to reflect state transitions. A dynamic measure change technique is employed to determine the pricing kernel, and the resulting credit spreads and default probabilities are analyzed.

Keywords: defaultable corporate bond; two-factor Markov-modulated stochastic volatility model with double exponential jumps; asymmetrical jump; Markov-modulated geometric Brownian motion; dynamic measure change (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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