转债凸性与定价系列报告之三：转债定价策略的“理想”与“现实”

Core Insights - The report emphasizes the importance of understanding the Black-Scholes (BS) model as a foundational option pricing model, despite its limitations in practical applications [6][7][8] - It highlights the advantages of using Monte Carlo simulation for pricing convertible bonds, particularly in accounting for complex features such as redemption and down-round clauses [34][41] - The report discusses the relationship between implied volatility and actual bond pricing, suggesting that discrepancies can indicate market conditions [20][25][26] Group 1: BS Model and Its Applications - The BS model is a fundamental option pricing model that assumes stock prices follow a geometric Brownian motion, which is crucial for understanding option pricing [6][9] - The report outlines the application of the BS model in calculating implied volatility, theoretical pricing, and Greek letters, which are essential for assessing convertible bonds [20][31] - It notes that the BS model's limitations include its inability to account for certain bond features, leading to potential overvaluation or undervaluation of convertible bonds [26][18] Group 2: Monte Carlo Simulation - Monte Carlo simulation is presented as a method that can effectively incorporate the impact of bond features on pricing, contrasting with the BS model's separation of bond value and option value [34][41] - The report details the steps involved in Monte Carlo simulation, including generating random stock price paths and evaluating cash flows based on bond features [34][37] - It concludes that while Monte Carlo simulation may require more computational resources, it often yields more accurate pricing results compared to the BS model, especially in bear markets [41][46] Group 3: Investment Strategies - The report suggests constructing investment strategies based on the pricing discrepancies identified through BS and Monte Carlo simulations, focusing on undervalued convertible bonds [34][41] - It emphasizes the importance of Greek letters in developing investment strategies, as they provide insights into the sensitivity of bond prices to various factors [31][32] - The report indicates that strategies based on BS pricing deviations and Monte Carlo simulations have historically outperformed traditional low-price strategies [41][49]