本研究採用分量對分量迴歸(quantile-on-quantile regression, QQR)模型評估特選ESG高股息報酬指數、台灣企業社會責任中小型指數及台灣永續指數等報酬率的穩定性(或持續性)。實證期間為2021年5月3日至2023年1月13日的日資料,共計有425筆觀察值。實證結果顯示: (一)三種指數報酬率的穩定性(或持續性)隨前七期報酬率與當期報酬率位於不同的分量(t,θ)而呈現差異性或不對稱性的效果,並非傳統自我迴歸所主張單一穩定性的結果。值得一提者,當前七期指數報酬率位於低分量(t=0.05, 0.10.15)時,代表三種指數下跌幅度較大,故報酬是不穩定的。 (二)除了落後七期特選ESG高股息報酬指數報酬率(RESG(-7))位於0.05, 0.10, 015與0.80分量外,其餘的(t,θ)組合下,RESG(-7) 的估計係數之信賴區間皆介於 之間,顯示當RESG(-7) 位於極低分量(亦即t =0.05, 0.10, 015)時,RESG是不穩定的。 (三)當落後七期台灣企業社會責任中小型指數報酬率(RESG(-7))位於中分量 (0.4≤t≤0.65)附近,且當期台灣企業社會責任中小型指數報酬率(RCSR)位於中高分量(0.6≤θ≤0.9)時,RCSR(-7) 的估計係數之信賴區間皆介於±1之間,顯示RCSR 是穩定的。其餘的(t,θ)組合下,RCSR多數呈現不穩定的現象,尤其以t=0.15且θ≥0.65為甚。 (四)除了落後七期台灣永續指數報酬率(RSD(-7))位於低分量(t=0.15)外,其餘的(t,θ)組合下,RSD(-7) 的估計係數之信賴區間皆介於 之間。因此,台灣永續指數是三個指數中報酬率最為穩定者。 此外,根據實證結果,本研究亦對長期投資者、指數發行機構、政府相關機構與研究者提出相關的政策建議。 關鍵詞: ESG、企業社會責任、分量迴歸模型、分量對分量迴歸模型、分量單根檢定、持續性(或穩定性)
This study adopts a quantile-on-quantile regression (QQR) model to assess the stability (or persistence) of the return rates of the recommended ESG High Dividend Return Indexes, Taiwan CSR Small-Mid Cap Index, and Taiwan Sustainability Index. The empirical period is the daily data from May 3, 2021 to January 13, 2023, with a total of 425 observations. The empirical results are summarized as follows: First, the stability (or persistence) of the return rates of the three indices is different or asymmetrical as the seven-period lagged return rate and the current period return rate are in different quantiles (t,θ), which cannot be obtained from the traditional auto-regression. It is worth mentioning that when the seven-period lagged return rate is at a low quantile (t=0.05, 0.1, or 0.15), it means that the three indexes have fallen greatly, so the three returns are unstable. Second, except for the seven-period lagged return rate of the recommended ESG High Dividend Return Indexes (RESG(-7)) at 0.05, 0.1, 015, and 0.8 quantiles, under the remaining combinations of (t,θ), the estimated coefficient of RESG(-7) locates in the interval of [-1,1], showing that RESG is unstable when RESG(-7) is at a very low quantile (i.e., t=0.05, 0.1, or 015). Third, when the seven-period lagged return rate of the Taiwan CSR Small-Mid Cap Index (RCSR(-7)) locates near the medium quantile (0.4≤t≤0.65), and the current period of return rate of the Taiwan CSR Small-Mid Cap Index (RCSR) locates at the middle and high quantiles (0.6≤θ≤0.9),the estimated coefficients of RCSR(-7) all locate in the interval of [-1,1], indicating that RCSR is stable. Under the other ( , θ) combinations, most of the RCSR is unstable, especially when t=0.15 and θ≥0.65. Fourth, except for the seven-period lagged return rate of the Taiwan Sustainability Index (RSD(-7)) at a low quantile (t=0.15), under the remaining combinations of (t,θ), the estimated coefficient of RSD(-7) locates in the interval of [-1,1]. Thus, the Taiwan Sustainability Index has the most stable return among the three indexes. In addition, based on the empirical results, this study also puts forward relevant policy suggestions for long-term investors, index issuers, government agencies, and researchers. Keywords: ESG, corporate social responsibility (CSR), quantile regression model, quantile-on-quantile regression model, quantile unit root test, persistence (or stability)