Quantitative Models and Construction Methods - **Model Name**: "百元转股溢价率" (Hundred Yuan Conversion Premium Rate) **Model Construction Idea**: This model compares convertible bond valuation with stock valuation by constructing a time-series comparable valuation indicator[4][13] **Model Construction Process**: At each time point, the relationship curve between conversion premium rate and conversion value is fitted in the cross-sectional space. The conversion value of 100 is substituted into the fitting formula to obtain the "百元转股溢价率". The specific fitting formula is: $$ y_{i}=\alpha_{0}+\,\alpha_{1}\cdot\,{\frac{1}{x_{i}}}+\epsilon_{i} $$ In the formula, \( y_{i} \) represents the conversion premium rate of the \( i \)-th bond, \( x_{i} \) represents the conversion value of the \( i \)-th bond[42] **Model Evaluation**: The model provides a relative valuation perspective for convertible bonds and stocks[4][13] - **Model Name**: "修正 YTM – 信用债 YTM"中位数 (Adjusted YTM - Credit Bond YTM Median) **Model Construction Idea**: This model isolates the impact of conversion clauses on convertible bond YTM to compare the relative valuation of debt-oriented convertible bonds and credit bonds[5][13] **Model Construction Process**: $$ 修正 YTM = 转债 YTM ×（1–转股概率）+ 预期转股的到期年化收益率×转股概率 $$ Using the BS model, the conversion probability \( N(d2) \) is calculated by substituting stock closing price, option exercise price, stock volatility, remaining term, and discount rate. Then, the adjusted YTM for each debt-oriented convertible bond is calculated. The median of the difference between adjusted YTM and credit bond YTM is expressed as: $$ "修正 YTM – 信用债 YTM"中位数 = median{X1, X2, ... , Xn} $$ Where \( X_{i} \) represents the difference between the adjusted YTM of the \( i \)-th convertible bond and the YTM of a credit bond with the same rating and term[43] **Model Evaluation**: The model effectively evaluates the relative cost-effectiveness of debt-oriented convertible bonds compared to credit bonds[5][13] Model Backtesting Results - **"百元转股溢价率" Model**: Rolling three-year percentile is 98.70%, rolling five-year percentile is 94.90%[4][14] - **"修正 YTM – 信用债 YTM" Model**: Current median value is -2.96%, indicating low cost-effectiveness for debt-oriented convertible bonds[5][14] Quantitative Factors and Construction Methods - **Factor Name**: 转股溢价率偏离度 (Conversion Premium Rate Deviation) **Factor Construction Idea**: Measures the deviation of the conversion premium rate relative to the fitted value, making different parities comparable[19] **Factor Construction Process**: $$ 转股溢价率偏离度 = 转股溢价率 − 拟合转股溢价率 $$ The number of convertible bonds determines the fitting quality[19] **Factor Evaluation**: Provides a systematic enhancement perspective for convertible bond valuation[18][19] - **Factor Name**: 理论价值偏离度 (Theoretical Value Deviation - Monte Carlo Model) **Factor Construction Idea**: Measures the price expectation difference using Monte Carlo simulation, fully considering convertible bond clauses such as conversion, redemption, downward revision, and repurchase[19] **Factor Construction Process**: $$ 理论价值偏离度 = 转债收盘价 / 理论价值 - 1 $$ At each time point, 10,000 paths are simulated using the same credit term limit rate as the discount rate to calculate the theoretical value of the convertible bond[19] **Factor Evaluation**: Performs well in evaluating convertible bonds, especially equity-oriented ones[18][19] - **Factor Name**: 转债综合估值因子 (Convertible Bond Comprehensive Valuation Factor) **Factor Construction Idea**: Combines the above two factors to enhance valuation across all domains and subdomains (equity-oriented, balanced, debt-oriented)[18][19] **Factor Construction Process**: $$ 转债综合估值因子 = Rank（转股溢价率偏离度）+ Rank（理论价值偏离度（蒙特卡洛模拟）） $$ **Factor Evaluation**: Demonstrates superior performance in valuation enhancement across all domains[18][19] Factor Backtesting Results - **Conversion Premium Rate Deviation Factor**: Near-term enhancement excess returns for equity-oriented, balanced, and debt-oriented convertible bonds are -3.01%, -0.34%, and -0.02%, respectively[6][21] - **Theoretical Value Deviation Factor**: Performs best in equity-oriented convertible bonds[18][19] - **Convertible Bond Comprehensive Valuation Factor**: - Equity-oriented low valuation index: IR = 1.24, annualized return = 25.45%, annualized volatility = 20.54%, maximum drawdown = -22.94%, Calmar ratio = 1.11, monthly win rate = 61.96%[22] - Balanced low valuation index: IR = 1.26, annualized return = 14.90%, annualized volatility = 11.85%, maximum drawdown = -15.95%, Calmar ratio = 0.93, monthly win rate = 63.04%[22] - Debt-oriented low valuation index: IR = 1.40, annualized return = 13.28%, annualized volatility = 9.48%, maximum drawdown = -17.78%, Calmar ratio = 0.75, monthly win rate = 58.70%[22] Convertible Bond Style Rotation and Construction Methods - **Rotation Method**: **Idea**: Uses market sentiment indicators (convertible bond momentum and volatility deviation) to construct a convertible bond style rotation portfolio[7][26] **Process**: $$ 转债风格市场情绪捕捉指标 = Rank（转债 20 日动量）+ Rank（波动率偏离度） $$ Based on the ranking of sentiment indicators, the style index with the lowest ranking is selected for allocation. If rankings are equal, equal allocation is applied. If all three styles are selected, 100% allocation is made to the balanced low valuation style. Adjustments are made bi-weekly[27][28] **Evaluation**: Demonstrates stable excess returns compared to the convertible bond equal-weight index[30][33] Style Rotation Backtesting Results - **Convertible Bond Style Rotation**: - IR = 1.45, annualized return = 24.14%, annualized volatility = 16.70%, maximum drawdown = -15.89%, Calmar ratio = 1.52, monthly win rate = 64.13%[32] - Convertible Bond Low Valuation Equal-Weight Index: IR = 1.33, annualized return = 14.68%, annualized volatility = 11.01%, maximum drawdown = -15.48%, Calmar ratio = 0.95, monthly win rate = 61.96%[32] - Convertible Bond Equal-Weight Index: IR = 0.85, annualized return = 9.95%, annualized volatility = 11.75%, maximum drawdown = -20.60%, Calmar ratio = 0.48, monthly win rate = 60.87%[32] - Recent 4-week style rotation return: 2.26%; return since 2025: 37.81%[28][29]

Quantitative Models and Construction Methods 1. Model Name: "百元转股溢价率" (Premium Rate per 100 Yuan Conversion) - **Model Construction Idea**: This model aims to compare the valuation of convertible bonds and their underlying stocks by calculating a time-series comparable valuation indicator, "百元转股溢价率" (Premium Rate per 100 Yuan Conversion), and using rolling historical percentiles to measure the relative allocation value[4][15]. - **Model Construction Process**: - Fit the relationship curve between the conversion premium rate and conversion value in the cross-sectional space at each time point - Substitute a conversion value of 100 into the fitted formula to obtain the "百元转股溢价率" - Formula: $$y_{i}=\alpha_{0}+\,\alpha_{1}\cdot\,{\frac{1}{x_{i}}}+\epsilon_{i}$$ where \(y_{i}\) represents the conversion premium rate of the \(i\)-th bond, and \(x_{i}\) represents the conversion value of the \(i\)-th bond[44] - **Model Evaluation**: Provides a relative valuation perspective for comparing convertible bonds and their underlying stocks[15] 2. Model Name: "修正 YTM – 信用债 YTM" (Adjusted YTM - Credit Bond YTM) - **Model Construction Idea**: This model isolates the impact of conversion terms on the yield-to-maturity (YTM) of convertible bonds to assess the relative allocation value between debt-heavy convertible bonds and credit bonds[5][15]. - **Model Construction Process**: - Adjust the YTM of debt-heavy convertible bonds by considering the probability of conversion and maturity - Formula: $$\text{Adjusted YTM} = \text{Convertible Bond YTM} \times (1 - \text{Conversion Probability}) + \text{Expected Annualized Return of Conversion} \times \text{Conversion Probability}$$ - Conversion probability is calculated using the Black-Scholes (BS) model, incorporating stock price, strike price, stock volatility, remaining maturity, and discount rate - Calculate the median difference between the adjusted YTM of convertible bonds and the YTM of credit bonds of the same rating and maturity: $$\text{"Adjusted YTM - Credit Bond YTM Median"} = \text{median}\{X_1, X_2, ..., X_n\}$$ where \(X_i\) represents the difference for the \(i\)-th convertible bond[45][46] - **Model Evaluation**: Highlights the cost-effectiveness of debt-heavy convertible bonds compared to credit bonds[5] 3. Model Name: Convertible Bond Style Rotation Model - **Model Construction Idea**: This model captures market sentiment using momentum and volatility deviation indicators to construct a convertible bond style rotation portfolio, with bi-weekly rebalancing[6][27]. - **Model Construction Process**: - Calculate the following sentiment indicators for each convertible bond: - 20-day momentum - Volatility deviation - Rank the indicators in reverse order and sum the rankings to determine the market sentiment capture indicator for each style index: $$\text{Market Sentiment Capture Indicator} = \text{Rank (20-day Momentum)} + \text{Rank (Volatility Deviation)}$$ - Allocate portfolio weights based on the rankings, with a preference for the style index with the lowest indicator value. If rankings are equal, allocate weights equally. If all three styles are selected, allocate 100% to the balanced low-valuation style[28] - **Model Evaluation**: Demonstrates superior performance compared to the equal-weighted convertible bond index, with a focus on balanced low-valuation styles[27][33] --- Quantitative Factors and Construction Methods 1. Factor Name: 转股溢价率偏离度 (Conversion Premium Deviation) - **Factor Construction Idea**: Measures the deviation of the conversion premium rate from its fitted value, enabling comparability across different parities[19][20]. - **Factor Construction Process**: $$\text{Conversion Premium Deviation} = \text{Conversion Premium Rate} - \text{Fitted Conversion Premium Rate}$$ - The number of convertible bonds determines the fitting quality[20] - **Factor Evaluation**: Provides a robust measure for identifying valuation discrepancies in convertible bonds[20] 2. Factor Name: 理论价值偏离度 (Theoretical Value Deviation, Monte Carlo Model) - **Factor Construction Idea**: Quantifies the price expectation gap by considering various convertible bond terms (e.g., conversion, redemption, downward revision, put options) through Monte Carlo simulation[19][20]. - **Factor Construction Process**: $$\text{Theoretical Value Deviation} = \frac{\text{Convertible Bond Closing Price}}{\text{Theoretical Value}} - 1$$ - Simulate 10,000 paths at each time point using the Monte Carlo model, with the same credit term interest rate as the discount rate[20] - **Factor Evaluation**: Effectively captures valuation discrepancies, particularly for equity-heavy convertible bonds[19][20] 3. Factor Name: 转债综合估值因子 (Comprehensive Convertible Bond Valuation Factor) - **Factor Construction Idea**: Combines the rankings of the above two factors to enhance valuation analysis across all domains (equity-heavy, balanced, debt-heavy)[19][20]. - **Factor Construction Process**: $$\text{Comprehensive Convertible Bond Valuation Factor} = \text{Rank (Conversion Premium Deviation)} + \text{Rank (Theoretical Value Deviation)}$$ - **Factor Evaluation**: Demonstrates superior performance in identifying undervalued convertible bonds across different styles[19][20] --- Backtesting Results of Models 1. Convertible Bond Style Rotation Model - **Annualized Return**: 23.38% - **Annualized Volatility**: 16.48% - **Maximum Drawdown**: -15.54% - **IR**: 1.42 - **Calmar Ratio**: 1.50 - **Monthly Win Rate**: 65.12%[33] --- Backtesting Results of Factors 1. 转股溢价率偏离度 Factor - **Equity-Heavy Convertible Bonds**: Enhanced excess return of 0.9% over the past 4 weeks[22] - **Balanced Convertible Bonds**: Enhanced excess return of 1.2% over the past 4 weeks[22] - **Debt-Heavy Convertible Bonds**: Enhanced excess return of -0.3% over the past 4 weeks[22] 2. 理论价值偏离度 Factor - **Equity-Heavy Convertible Bonds**: Enhanced excess return of 0.9% over the past 4 weeks[22] - **Balanced Convertible Bonds**: Enhanced excess return of 1.2% over the past 4 weeks[22] - **Debt-Heavy Convertible Bonds**: Enhanced excess return of -0.3% over the past 4 weeks[22] 3. 转债综合估值因子 Factor - **Equity-Heavy Convertible Bonds**: Enhanced excess return of 0.9% over the past 4 weeks[22] - **Balanced Convertible Bonds**: Enhanced excess return of 1.2% over the past 4 weeks[22] - **Debt-Heavy Convertible Bonds**: Enhanced excess return of -0.3% over the past 4 weeks[22]