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采用 1996-01-01 到 2010-06-30 期间在沪深交易所上市的 A 股的月度三因子数据
(THRFACDAT_MONTHLY)对 Fama-Fremch 股票组合月收益率(PMONRET_FF)以总市值加权的方
式进行多元线性回归,        得到不同规模和账面市值比下的市场溢酬因子         (RmRf) 市值因子
                                                     、    (SMB)
以及账面市值比因子(HML)的系数。以此为标准,根据预期收益率设置投资组合。

                                          表格  1 多元线性回归结果 
                        R(t) ‐ RF(t) = a + b [RM(t)‐RF(t)] + s SMB(t) + h HML(t) + e(t) 
                                  Book-to-market equity (BE/ME) quintiles
Size quintile
                Low         2        3         4       High         Low          2           3       4      High
                                     b                                                     t(b)
   Small        1.01      1.04      1.01      1.09     1.02         29.79     38.90        32.63    40.95   27.33
     2          1.03      1.05      0.98      1.06     0.98         32.92     34.88        37.71    40.13   35.24
     3          0.97      0.98      1.07      1.03     1.02         33.07     33.97        34.36    36.13   37.13
     4          0.99      0.98      1.07      1.03     1.04         31.40     35.24        34.65    32.50   39.44
    Big         1.00      1.09      0.97      1.04     0.94         40.98     29.70        33.02    25.63   31.20
                                      s                                                     t(s)
   Small         1.07 1.08 1.21 1.24 1.00                           17.74     22.76        22.10    26.39   15.21
     2           1.03 0.80 0.94 1.03 0.96                           18.66     14.97        20.37    21.98   19.49
     3           0.72 0.66 0.72 0.85 0.85                           13.76     12.98        13.14    16.88   17.49
     4           0.48 0.52 0.36 0.46 0.52                            8.53     10.56          6.57    8.19   11.07
    Big         -0.14 -0.28 -0.09 -0.17 -0.18                       -3.18     -4.30        -1.74    -2.35   -3.30
                                     h                                                     t(h)
   Small        -0.45    -0.37 0.31           0.34     0.45         -6.13      -6.43         4.54    5.86 5.52
     2          -0.48    -0.37 0.20           0.31     0.31         -7.03      -5.62         3.51    5.34 5.16
     3          -0.46    -0.40 -0.08          0.39     0.79         -7.19      -6.38       -1.24     6.24 13.17
     4          -0.51    -0.24 -0.08          0.19     0.42         -7.35      -3.95       -1.16     2.74  7.35
    Big         -0.55    -0.21 0.03           0.08     0.70        -10.31      -2.58         0.47    0.95 10.64
                                     R2
   Small        0.88      0.93      0.92      0.94     0.88
     2          0.90      0.90      0.93      0.94     0.91
     3          0.89      0.89      0.90      0.92     0.93
     4          0. 86     0.89      0.89      0.88     0.92
    Big         0.91      0.84      0.87      0.81     0.88

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沪深交易所上市A 股三因素模型分析

  • 1. 采用 1996-01-01 到 2010-06-30 期间在沪深交易所上市的 A 股的月度三因子数据 (THRFACDAT_MONTHLY)对 Fama-Fremch 股票组合月收益率(PMONRET_FF)以总市值加权的方 式进行多元线性回归, 得到不同规模和账面市值比下的市场溢酬因子 (RmRf) 市值因子 、 (SMB) 以及账面市值比因子(HML)的系数。以此为标准,根据预期收益率设置投资组合。 表格  1 多元线性回归结果  R(t) ‐ RF(t) = a + b [RM(t)‐RF(t)] + s SMB(t) + h HML(t) + e(t)  Book-to-market equity (BE/ME) quintiles Size quintile Low 2 3 4 High Low 2 3 4 High b t(b) Small 1.01 1.04 1.01 1.09 1.02 29.79 38.90 32.63 40.95 27.33 2 1.03 1.05 0.98 1.06 0.98 32.92 34.88 37.71 40.13 35.24 3 0.97 0.98 1.07 1.03 1.02 33.07 33.97 34.36 36.13 37.13 4 0.99 0.98 1.07 1.03 1.04 31.40 35.24 34.65 32.50 39.44 Big 1.00 1.09 0.97 1.04 0.94 40.98 29.70 33.02 25.63 31.20 s t(s) Small 1.07 1.08 1.21 1.24 1.00 17.74 22.76 22.10 26.39 15.21 2 1.03 0.80 0.94 1.03 0.96 18.66 14.97 20.37 21.98 19.49 3 0.72 0.66 0.72 0.85 0.85 13.76 12.98 13.14 16.88 17.49 4 0.48 0.52 0.36 0.46 0.52 8.53 10.56 6.57 8.19 11.07 Big -0.14 -0.28 -0.09 -0.17 -0.18 -3.18 -4.30 -1.74 -2.35 -3.30 h t(h) Small -0.45 -0.37 0.31 0.34 0.45 -6.13 -6.43 4.54 5.86 5.52 2 -0.48 -0.37 0.20 0.31 0.31 -7.03 -5.62 3.51 5.34 5.16 3 -0.46 -0.40 -0.08 0.39 0.79 -7.19 -6.38 -1.24 6.24 13.17 4 -0.51 -0.24 -0.08 0.19 0.42 -7.35 -3.95 -1.16 2.74 7.35 Big -0.55 -0.21 0.03 0.08 0.70 -10.31 -2.58 0.47 0.95 10.64 R2 Small 0.88 0.93 0.92 0.94 0.88 2 0.90 0.90 0.93 0.94 0.91 3 0.89 0.89 0.90 0.92 0.93 4 0. 86 0.89 0.89 0.88 0.92 Big 0.91 0.84 0.87 0.81 0.88