关键词: 可转换债券, 马尔可夫机制转换模型, 股权稀释效应, 违约风险

Abstract: The pricing processes of the stock and corporate assets for convertible bonds follow the Markov regime-switching model, while taking the equity dilution effect and default risk into account. This study aims to obtain a pricing formula for convertible bonds using change of measure and risk-neutralized pricing theory. Theoretical and numerical analyses show that the introduction of the Markov modulation model and the equity dilution effect can prevent the overvaluation of convertible bonds. The findings also indicate that convertible bond values differ obviously under various initial economic states.

Key words: 1. College of Sciences, Shanghai Institute of Technology, Shanghai 200235, China, 2. Faculty of Economics and Management, East China Normal University, Shanghai 200062, China