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Table 13 Cross-sectional predictability of skewness

From: Lottery-like preferences and the MAX effect in the cryptocurrency market

TSKEW

ISKEW

BETA

SIZE

PRICE

MOM

REV

ILLIQ

R2 (%)

0.757

       

50.25

(51.531)***

        

0.588

 

− 1.611

0.108

− 0.131

1.369

0.068

23.819

62.35

(5.046)***

 

(− 0.876)

(0.910)

(− 0.964)

(1.110)

(0.231)

(1.529)

 
 

0.744

      

43.57

 

(49.266)***

       
 

0.666

0.075

− 0.001

− 0.005

0.042

− 1.643

− 14.620

56.82

 

(13.213)***

(0.158)

(− 0.044)

(− 0.128)

(0.135)

(− 0.942)

(− 0.780)

 
  1. Each week from January 2014 to September 2020, we conduct a cryptocurrency-level cross-sectional regression of the skewness measures on lagged explanatory variables, including total skewness (TSKEW) and idiosyncratic skewness (ISKEW) as well as six other control variables - BETA, SIZE, PRICE, MOM, REV and ILLIQ. TSKEW refers to the total skewness measured for past month using daily returns. ISKEW is the skewness of regression residuals. BETA is the market beta calculated as the sum of coefficients on lag, current and lead returns on market portfolio. SIZE equals the natural logarithm of the cryptocurrency’s market capitalization by the end of previous week. PRICE is the natural logarithm of one plus the cryptocurrency’s price. MOM stands for momentum that equals the cumulative return over the previous three weeks skipping past week. REV stands for short-term reversal and equals the return in the past week. ILLIQ refers to Amihud illiquidity measure, which is calculated by the ratio of absolute daily cryptocurrency return to its mean dollar trading volume. Both dependent and independent variables are winsorized at 5% level from upper and lower tails. Table reports the time-series averages of the cross-sectional regression coefficients and corresponding t-statistics. Newey-West (1987) adjusted t-statistics are presented in parentheses
  2. ***, ** and * denote significance at 1%, 5% and 10%, respectively