Descriptive statistics of portfolios were sorted into idiosyncratic risk measures
| Panel A: 90-day formation period | Panel B: 180-day formation period | Panel C: 365-day formation period | |||||||
|---|---|---|---|---|---|---|---|---|---|
| Mean | IE | Carhart alpha | Mean | IE | Carhart alpha | Mean | IE | Carhart alpha | |
| 1 (Low) | 1.06 | 0.05 | 1.10 (3.53)* | 1.00 | 0.06 | 1.04 (3.34)* | 0.89 | 0.08 | 0.93 (3.00)* |
| 2 | 0.86 | 0.15 | 0.91 (2.17)** | 0.92 | 0.16 | 0.81 (2.01)** | 0.77 | 0.18 | 0.79 (1.92)*** |
| 3 | 0.60 | 0.18 | 0.68 (1.77)*** | 0.53 | 0.22 | 0.60 (1.68)*** | 0.43 | 0.26 | 0.49 (1.38) |
| 4 | −1.12 | 0.19 | −1.19 (−3.31)* | −1.02 | 0.24 | −1.10 (−3.20)* | −1.00 | 0.23 | −1.03 (−3.07)* |
| 5 (High) | −1.24 | 0.33 | −1.26 (−3.57)* | −1.12 | 0.30 | −1.15 (−3.66)* | −1.10 | 0.34 | −1.12 (−3.71)* |
| 5–1 | −2.20 (−4.02)* | −2.36 (−4.30)* | −2.12 (−3.55)* | −2.19 (−3.68)* | −1.99 (−2.22)** | −2.05 (−2.29)* | |||
| Panel A: 90-day formation period | Panel B: 180-day formation period | Panel C: 365-day formation period | |||||||
|---|---|---|---|---|---|---|---|---|---|
| Mean | Carhart alpha | Mean | Carhart alpha | Mean | Carhart alpha | ||||
| 1 (Low) | 1.06 | 0.05 | 1.10 (3.53)* | 1.00 | 0.06 | 1.04 (3.34)* | 0.89 | 0.08 | 0.93 (3.00)* |
| 2 | 0.86 | 0.15 | 0.91 (2.17)** | 0.92 | 0.16 | 0.81 (2.01)** | 0.77 | 0.18 | 0.79 (1.92)*** |
| 3 | 0.60 | 0.18 | 0.68 (1.77)*** | 0.53 | 0.22 | 0.60 (1.68)*** | 0.43 | 0.26 | 0.49 (1.38) |
| 4 | −1.12 | 0.19 | −1.19 (−3.31)* | −1.02 | 0.24 | −1.10 (−3.20)* | −1.00 | 0.23 | −1.03 (−3.07)* |
| 5 (High) | −1.24 | 0.33 | −1.26 (−3.57)* | −1.12 | 0.30 | −1.15 (−3.66)* | −1.10 | 0.34 | −1.12 (−3.71)* |
| 5–1 | −2.20 (−4.02)* | −2.36 (−4.30)* | −2.12 (−3.55)* | −2.19 (−3.68)* | −1.99 (−2.22)** | −2.05 (−2.29)* | |||
Note(s): We construct the estimates at the end of each month from January 1988 through June 2019, as outlined in (11) and (12), using a 90-, 180, and 365-day formation period. The risk factors used in the cross-sectional regressions are those used in model 6 of Table 2. Next, we sort stocks into portfolios at the end of each month based on and calculate the value-weighted returns of each portfolio in month . Panels A, B, and C of this table report summary statistics for the five portfolios sorted into IE, where portfolio 1 represents stocks with the lowest predicted IE and portfolio 5 represents stocks with the highest predicted IE. Column 1 of each panel reports the time-series average of the value-weighted portfolio returns, and column 2 presents their corresponding idiosyncratic IE. Column 3 of each panel reports estimated alphas for the Carhart (1997) four-factor model. *,**, and *** denote the significance of t-statistics (in parentheses) at the 1%, 5%, and 10% levels
Source(s): Created by the author
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