Pass-through regressions

We have daily prices for regular gasoline sold by all stations operating in the markets not subject to price ceilings. We control for the unit-cost of gasoline. Importantly we have variation in the carbon tax levied at each station. The variation in the carbon tax comes from two sources. First, the gross carbon tax (an amount of pesos per ton of carbon) is updated yearly in February with the previous year inflation, this gives us some time variation. The carbon tax is levied only on gasoline and the ethanol component of the fuel is exempt. The fuel sold at each station varies in the proportion of ethanol (it ranges from 2% to 10%). So the actual tax paid on each gallon of fuel varies depending on the proportion of ethanol. This gives us variation across stations during the same period. Importantly, as far as we know, the percent of ethanol mix is exogenous to the stations and it probably depends on the international price of sugar. But so far this is just a conjecture.

REGULAR GAS

m1 = felm(logp~logimpocarb+logcosto+integrada+I(logimpocarb*integrada)| date+municipio|0|municipio, data=subset.reg)
m2 = felm(logp~logimpocarb+logcosto+integrada+I(logimpocarb*integrada)+I(logcosto*integrada)| date+municipio|0|municipio, data=subset.reg)

m3 = felm(logp~logimpocarb+logcosto+integrada+I(logimpocarb*integrada)| date+municipio|0|municipio, data=subset.reg0)
m4 = felm(logp~logimpocarb+logcosto+integrada+I(logimpocarb*integrada)+I(logcosto*integrada)| date+municipio|0|municipio, data=subset.reg0)

m5 = felm(logp~logimpocarb+logcosto+integrada+I(logimpocarb*integrada)| date+municipio|0|municipio, data=subset.reg1)
m6 = felm(logp~logimpocarb+logcosto+integrada+I(logimpocarb*integrada)+I(logcosto*integrada)| date+municipio|0|municipio, data=subset.reg1)

#FE: DATE + CITY
screenreg(list(m1,m2,m3,m4,m5,m6),
          custom.model.names = c("Gas","Gas","ACPM","ACPM","Extra","Extra"),
          custom.coef.names = c("log(Tax)", "log(Cost)","VI","log(Tax)xVI","log(Cost)xVI"),
          custom.note = "Market and time fixed effects",
          digits = 4,stars = c(0.01,0.05,0.1), omit.coef = c("as.factor"))
## 
## ======================================================================================================================
##                         Gas              Gas              ACPM           ACPM            Extra         Extra          
## ----------------------------------------------------------------------------------------------------------------------
## log(Tax)                     0.5302 ***       0.5313 ***      1.9425 **      2.0311 **        0.0245        0.0072    
##                             (0.1687)         (0.1697)        (0.6812)       (0.6720)         (0.1668)      (0.1755)   
## log(Cost)                    1.1153 **        1.1203 **       3.2917 **      3.4318 **        0.6780        0.6292    
##                             (0.4003)         (0.4043)        (0.9911)       (0.9689)         (0.5216)      (0.5587)   
## VI                           0.1782 *         0.3315 *        0.0606 **      0.1440 ***      -0.1824       -2.3880 ***
##                             (0.0928)         (0.1585)        (0.0229)       (0.0282)         (0.1665)      (0.4209)   
## log(Tax)xVI                 -0.0399 **       -0.0443 **      -0.0151 **     -0.0054           0.0296        0.0962 ***
##                             (0.0188)         (0.0170)        (0.0046)       (0.0060)         (0.0329)      (0.0326)   
## log(Cost)xVI                                 -0.0145                        -0.0146 **                      0.2062 ***
##                                              (0.0171)                       (0.0042)                       (0.0387)   
## ----------------------------------------------------------------------------------------------------------------------
## Num. obs.               755985           755985           37362          37362           100804        100804         
## R^2 (full model)             0.6730           0.6730          0.3156         0.3156           0.8072        0.8089    
## R^2 (proj model)             0.0482           0.0483          0.0286         0.0286           0.0894        0.0977    
## Adj. R^2 (full model)        0.6723           0.6723          0.2960         0.2960           0.8041        0.8059    
## Adj. R^2 (proj model)        0.0461           0.0462          0.0007         0.0007           0.0748        0.0833    
## Num. groups: date         1595             1595            1033           1033             1571          1571         
## Num. groups: municipio      17               17               6              6               17            17         
## ======================================================================================================================
## Market and time fixed effects
m1 = felm(logp~logimpocarb+logcosto+integrada+I(logimpocarb*integrada)+share| date+municipio|0|municipio, data=subset.reg)
m2 = felm(logp~logimpocarb+logcosto+integrada+I(logimpocarb*integrada)+I(logcosto*integrada)+share| date+municipio|0|municipio, data=subset.reg)

m3 = felm(logp~logimpocarb+logcosto+integrada+I(logimpocarb*integrada)+share| date+municipio|0|municipio, data=subset.reg0)
m4 = felm(logp~logimpocarb+logcosto+integrada+I(logimpocarb*integrada)+I(logcosto*integrada)+share| date+municipio|0|municipio, data=subset.reg0)

m5 = felm(logp~logimpocarb+logcosto+integrada+I(logimpocarb*integrada)+share| date+municipio|0|municipio, data=subset.reg1)
m6 = felm(logp~logimpocarb+logcosto+integrada+I(logimpocarb*integrada)+I(logcosto*integrada)+share| date+municipio|0|municipio, data=subset.reg1)

#FE: DATE + CITY
screenreg(list(m1,m2,m3,m4,m5,m6),
          custom.model.names = c("Gas","Gas","ACPM","ACPM","Extra","Extra"),
          custom.coef.names = c("log(Tax)", "log(Cost)","VI","log(Tax)xVI","Share","log(Cost)xVI"),
          custom.note = "Market and time fixed effects",
          digits = 4,stars = c(0.01,0.05,0.1), omit.coef = c("as.factor"))
## Warning in chol.default(mat, pivot = TRUE, tol = tol): the matrix is either
## rank-deficient or indefinite
## 
## =======================================================================================================================
##                         Gas              Gas              ACPM            ACPM            Extra         Extra          
## -----------------------------------------------------------------------------------------------------------------------
## log(Tax)                     0.5366 ***       0.5378 ***      2.2043 **       2.2520 **        0.0206        0.0033    
##                             (0.1733)         (0.1744)        (0.5872)        (0.5659)         (0.1672)      (0.1759)   
## log(Cost)                    1.1251 **        1.1309 **       3.7248 ***      3.8001 ***       0.6804        0.6316    
##                             (0.4003)         (0.4040)        (0.9196)        (0.8856)         (0.5220)      (0.5591)   
## VI                           0.1735 *         0.3497 **       0.0799 *        0.1248 ***      -0.1745       -2.3804 ***
##                             (0.0905)         (0.1565)        (0.0312)        (0.0243)         (0.1634)      (0.4206)   
## log(Tax)xVI                 -0.0384 *        -0.0435 **      -0.0189 **      -0.0136           0.0278        0.0945 ***
##                             (0.0183)         (0.0167)        (0.0062)        (0.0097)         (0.0322)      (0.0319)   
## Share                       -0.3063 ***      -0.3067 ***     -0.3887         -0.3886           0.0590        0.0591    
##                             (0.0905)         (0.0908)        (0.2753)        (0.2754)         (0.0421)      (0.0412)   
## log(Cost)xVI                                 -0.0166                         -0.0078                         0.2062 ***
##                                              (0.0165)                        (0.0062)                       (0.0388)   
## -----------------------------------------------------------------------------------------------------------------------
## Num. obs.               755985           755985           37362           37362           100804        100804         
## R^2 (full model)             0.6763           0.6764          0.3249          0.3249           0.8073        0.8091    
## R^2 (proj model)             0.0580           0.0581          0.0417          0.0417           0.0901        0.0985    
## Adj. R^2 (full model)        0.6757           0.6757          0.3055          0.3055           0.8042        0.8060    
## Adj. R^2 (proj model)        0.0560           0.0561          0.0142          0.0142           0.0755        0.0840    
## Num. groups: date         1595             1595            1033            1033             1571          1571         
## Num. groups: municipio      17               17               6               6               17            17         
## =======================================================================================================================
## Market and time fixed effects