00Thaler_FM i-xxvi.qxd

CHARACTERISTICS AND RETURNS 337

Table 9.5

Portfolios Sorted by Characteristics and Predicted HML Factor Loadings

Portfolios are formed based on size (SZ), book-to-market (B/M), and preformation
HML factor loadings. This table presents each of the coefficients estimates and t-
statistics from the following time-series regression of these portfolio returns on the
excess-Market, SMB, and HML portfolio returns:

Char Port Factor Loading Portfolio Factor Loading Portfolio

B/M SZ 1 2 3 4 51 2 345

αˆ t(αˆ)

11 −0.58 0.14 0.06 −0.17 −0.67 −3.97 1.04 0.48 −1.34 −4.00
12 0.16 0.05 0.13 0.16 −0.08 0.94 0.47 1.12 1.33 −0.63
13 0.02 0.05 0.06 −0.06 0.28 0.15 0.42 0.50 −0.55 2.26

21 0.13 0.08 0.06 0.21 −0.31 1.05 0.87 0.73 2.13 −2.31
22 0.03 0.20 0.22 0.01 −0.31 0.24 1.71 2.05 0.14 −2.66
23 0.19 −0.08 0.05 −0.10 −0.07 1.13 −0.50 0.35 −0.67 −0.46

31 0.08 0.05 0.10 0.01 −0.47 0.70 0.55 1.06 0.10 −3.27
32 0.17 0.22 0.25 0.05 −0.31 1.25 1.67 1.94 0.36 −1.63
33 −0.01 0.16 −0.23 −0.12 −0.18 −0.04 1.13 −1.45 −0.74 −0.90

Average 0.02 0.10 0.08 0.00 −0.24 0.16 0.82 0.75 0.08 −1.51

βˆHML t(βˆHML)

11 −0.40 −0.38 −0.11 −0.04 0.25 −7.09 −7.09 −2.32 −0.84 3.91
12 −0.60 −0.32 −0.18 −0.05 0.05 −9.13 −7.15 −3.98 −1.02 1.01
13 −0.70 −0.44 −0.22 −0.11 −0.02−12.85 −9.85 −4.72 −2.48 −0.44

21 0.02 0.19 0.32 0.35 0.48 0.39 5.51 9.69 9.06 9.13
22 0.17 0.23 0.28 0.36 0.49 3.23 5.14 6.59 8.67 10.98
23 0.03 0.24 0.22 0.31 0.49 0.50 3.90 4.03 5.53 8.40

31 0.42 0.50 0.57 0.75 0.91 9.74 13.00 16.26 19.74 16.11
32 0.40 0.58 0.56 0.72 0.82 7.32 11.40 11.07 13.91 11.26
33 0.45 0.56 0.67 0.81 1.00 6.69 10.03 10.91 12.81 12.90

Average −0.02 0.13 0.23 0.34 0.50 −0.13 2.77 5.28 7.26 8.14

βˆSMB t(βˆSMS)

11 1.23 1.07 1.07 1.18 1.39 23.27 21.29 24.34 26.33 22.97
12 0.81 0.55 0.62 0.55 0.61 13.06 13.04 14.93 12.78 14.18
13 −0.14 −0.17 −0.16 −0.08 0.04 −2.84 −4.16 −3.59 −1.88 0.83

21 1.19 0.95 0.94 0.89 1.15 27.05 29.40 30.56 24.74 23.63
22 0.54 0.45 0.44 0.47 0.72 10.99 10.87 11.09 12.10 17.112
23 −0.22 −0.25 −0.15 −0.10 −0.07 −3.63 −4.39 −3.02 −1.96 −1.21

31 1.24 1.01 0.95 1.04 1.25 30.74 27.73 28.97 29.27 23.67
32 0.61 0.43 0.37 0.43 0.69 12.08 9.09 7.86 8.80 10.17
33 −0.06 −0.15 −0.17 0.05 0.10 −1.02 −2.90 −3.04 0.82 1.35

Average 0.58 0.43 0.43 0.49 0.65 12.19 11.11 12.01 12.33 12.52

RR ̃ ̃ ̃ss bm fl,,−=+ ⋅ + ⋅ + ⋅ −f αβHMLRHMLβSMB RSMB βMkt (RR ̃Mkt f).