natural gas elasticities and optimal cost recovery under
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Natural gas elasticities and optimal cost recovery under heterogeneity Evidence from 300 million natural gas bills in California Maximilian Auffhammer Edward Rubin UC Berkeley UC Berkeley University of Oregon February 6, 2018 Sources: US


  1. Institutional context Natural gas system N. American producers LNG imports/exports Processors Storage Storage Pipeline Pipeline LNG terminals LNG terminals Local distribution companies (LDCs) Local distribution companies (LDCs) Electricity plants Electricity plants Industrial users Industrial users Residential and commercial users Sources: Authors; Levine, Carpenter, and Thapa (2014); and Brown and Yücel (1993)

  2. Institutional context Natural gas system N. American producers LNG imports/exports Processors Storage Pipeline LNG terminals Local distribution companies (LDCs) Local distribution companies (LDCs) Electricity plants Electricity plants Industrial users Industrial users Residential and commercial users Residential and commercial users Sources: Authors; Levine, Carpenter, and Thapa (2014); and Brown and Yücel (1993)

  3. Institutional context Natural gas system N. American producers N. American producers LNG imports/exports Processors Processors Storage Storage Pipeline Pipeline LNG terminals Local distribution companies (LDCs) Local distribution companies (LDCs) Electricity plants Industrial users Residential and commercial users Residential and commercial users Sources: Authors; Levine, Carpenter, and Thapa (2014); and Brown and Yücel (1993)

  4. Institutional context Residential natural gas in California For PG&E’s and SoCalGas’s residential consumers, a bill depends upon six variables 1 The household’s utility (LDC) 2 The tiered price regime set by the utility and CPUC 3 The total volume of natural gas consumed during the bill period 4 The season in which the bill occurs ( i.e. , “winter” or “summer”) 5 The climate zone of the household’s physical location 6 The household’s CARE status (California Alternate Rates for Energy)

  5. In pictures...

  6. Marginal and average price example: PG&E, January 2009, climate zone 1 1.5 Price (USD per therm) 1.0 0.5 0.0 0 50 100 150 200 Quantity consumed during bill (therms) Marginal price Average price

  7. Price regimes over time: PG&E and SoCalGas, 2009–2015 1.5 Price (USD per therm) 1.0 0.5 0.0 2010 2012 2014 2016 Date Price: PG&E: Baseline PG&E: Excess SoCalGas: Baseline SoCalGas: Excess

  8. Decomposing residential rates: PG&E in a single month Excess Rate 1.46 Base Rate 1.15 Volumetric Charge ($ per therm) Transportation Charge 0.62 Procurement Charge 0.08 Public Purchase Program 0.00 Surcharge (G-PPPS)

  9. Residential consumption: California, 2009–2015 Monthly natural gas consumption (million ft 3 ) 75000 50000 25000 0 2010 2012 2014 2016

  10. Daily tier-one allowances over time: PG&E and SoCalGas, one climate zone each, 2009–2015 1.5 Daily allowance (therms) 1.0 0.5 0.0 2010 2012 2014 2016 PG&E SoCalGas

  11. Density of bills’ distances from first-tier allowance by season + 0 100 Therms exceeding allowance Summer Winter

  12. California’s 16 CEC climate zones: determine daily allowance within season Source: California Energy Commission

  13. Data

  14. Data Overview The main datasets in this paper come from 275M+ household bills (all in California). Full dataset Border-area dataset PG&E SoCalGas PG&E SoCalGas N. 5-digit zip codes 597 611 18 18 N. unique households 5,888,276 2,526,503 152,418 68,407 N. bills 180,663,705 95,335,393 3,401,947 2,352,141 Approx. value (USD) $5.71B $3.28B $120M $70.5M Household information: Zip code, climate zone, CARE participation Bill information: Dates, quantity, revenue Full dataset: All PG&E and SoCalGas bills in the data. Border-area dataset: HHs in the 18 5-digit zip codes served by both utilities.

  15. Data Split by season Split by CARE Summary of border-area dataset Overall Winter Summer CARE Non-Care Baseline price 0.9026 0.8836 0.9204 0.8080 0.9811 Excess price 1.1690 1.1477 1.1891 1.0445 1.2725 Average price 1.0211 1.0008 1.0402 0.9086 1.1147 Marginal price 1.0387 1.0121 1.0637 0.9338 1.1259 Total bill 34.9508 52.0750 18.8573 30.3135 38.8040 Therms 33.8273 50.9544 17.7311 33.1136 34.4204 Exceeded allowance 50.01% 45.93% 53.85% 51.82% 48.51% Days 30.3994 30.5876 30.2225 30.4040 30.3955 Within-bill HDDs 0.9398 1.7136 0.2126 0.9291 0.9488 (Percent) CARE 45.38% 45.00% 45.74% 100% 0% Notes: Means of the variables. Summaries based upon the study area. More...

  16. Sources: NOAA and authors

  17. Empirical strategy

  18. Empirical strategy Price elasticity of demand Estimating an elasticity: log ( q i , t ) = η log ( p i , t ) + γ i + δ t + λ g ( i ) , t + ε i , t where i and t index household and time; g ( i ) denotes i ’s geography (city or zip); q denotes quantity consumed; and p denotes price.

  19. Empirical strategy Price elasticity of demand Estimating an elasticity: log ( q i , t ) = η log ( p i , t ) + γ i + δ t + λ g ( i ) , t + ε i , t where i and t index household and time; g ( i ) denotes i ’s geography (city or zip); q denotes quantity consumed; and p denotes price. OLS estimates of η in this equation suffer from two sources of bias/endogeneity: 1 Simultaneity: Price and quantity result from the equilibrium of a system of equations. 2 “Reverse causality”: Two-tiered pricing regime means price is a function of quantity.

  20. Empirical strategy OLS “elasticity” results Dependent variable: Log(Consumption, daily avg.) ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) ( 6 ) 0.7306 ∗∗∗ 0.4346 ∗∗∗ 0.4276 ∗∗∗ Log(Marginal price) (0.0062) (0.0136) (0.0134) − 0.0918 ∗∗∗ − 0.1009 ∗∗∗ 0.0526 ∗∗∗ Log(Baseline price) (0.0051) (0.0201) (0.0209) Bill HDDs T T T T T T Household FE T T T T T T Month-of-sample FE F T F F T F City by month-of-sample FE T F T T F T Sample Full CA Border Border Full CA Border Border N 621,935,402 5,754,088 5,754,088 621,935,402 5,754,088 5,754,088 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Each price in the table is the second lag of price, i.e. , the prices from two bills prior to the current bill. Significance levels: *10%, **5%, ***1%.

  21. Empirical strategy OLS “elasticity” results Dependent variable: Log(Consumption, daily avg.) ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) ( 6 ) 0.7306 ∗∗∗ 0.4346 ∗∗∗ 0.4276 ∗∗∗ Log(Marginal price) (0.0062) (0.0136) (0.0134) − 0.0918 ∗∗∗ − 0.1009 ∗∗∗ 0.0526 ∗∗∗ Log(Baseline price) (0.0051) (0.0201) (0.0209) Bill HDDs T T T T T T Household FE T T T T T T Month-of-sample FE F T F F T F City by month-of-sample FE T F T T F T Sample Full CA Border Border Full CA Border Border N 621,935,402 5,754,088 5,754,088 621,935,402 5,754,088 5,754,088 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Each price in the table is the second lag of price, i.e. , the prices from two bills prior to the current bill. Significance levels: *10%, **5%, ***1%.

  22. Empirical strategy OLS “elasticity” results Dependent variable: Log(Consumption, daily avg.) ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) ( 6 ) 0.7306 ∗∗∗ 0.4346 ∗∗∗ 0.4276 ∗∗∗ Log(Marginal price) (0.0062) (0.0136) (0.0134) − 0.0918 ∗∗∗ − 0.1009 ∗∗∗ 0.0526 ∗∗∗ Log(Baseline price) (0.0051) (0.0201) (0.0209) Bill HDDs T T T T T T Household FE T T T T T T Month-of-sample FE F T F F T F City by month-of-sample FE T F T T F T Sample Full CA Border Border Full CA Border Border N 621,935,402 5,754,088 5,754,088 621,935,402 5,754,088 5,754,088 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Each price in the table is the second lag of price, i.e. , the prices from two bills prior to the current bill. Significance levels: *10%, **5%, ***1%.

  23. Empirical strategy OLS “elasticity” results Dependent variable: Log(Consumption, daily avg.) ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) ( 6 ) 0.7306 ∗∗∗ 0.4346 ∗∗∗ 0.4276 ∗∗∗ Log(Marginal price) (0.0062) (0.0136) (0.0134) − 0.0918 ∗∗∗ − 0.1009 ∗∗∗ 0.0526 ∗∗∗ Log(Baseline price) (0.0051) (0.0201) (0.0209) Bill HDDs T T T T T T Household FE T T T T T T Month-of-sample FE F T F F T F City by month-of-sample FE T F T T F T Sample Full CA Border Border Full CA Border Border N 621,935,402 5,754,088 5,754,088 621,935,402 5,754,088 5,754,088 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Each price in the table is the second lag of price, i.e. , the prices from two bills prior to the current bill. Significance levels: *10%, **5%, ***1%.

  24. Empirical strategy OLS “elasticity” results Dependent variable: Log(Consumption, daily avg.) ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) ( 6 ) 0.7306 ∗∗∗ 0.4346 ∗∗∗ 0.4276 ∗∗∗ Log(Marginal price) (0.0062) (0.0136) (0.0134) − 0.0918 ∗∗∗ − 0.1009 ∗∗∗ 0.0526 ∗∗∗ Log(Baseline price) (0.0051) (0.0201) (0.0209) Bill HDDs T T T T T T Household FE T T T T T T Month-of-sample FE F T F F T F City by month-of-sample FE T F T T F T Sample Full CA Border Border Full CA Border Border N 621,935,402 5,754,088 5,754,088 621,935,402 5,754,088 5,754,088 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Each price in the table is the second lag of price, i.e. , the prices from two bills prior to the current bill. Significance levels: *10%, **5%, ***1%.

  25. Empirical strategy OLS “elasticity” results Dependent variable: Log(Consumption, daily avg.) ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) ( 6 ) 0.7306 ∗∗∗ 0.4346 ∗∗∗ 0.4276 ∗∗∗ Log(Marginal price) (0.0062) (0.0136) (0.0134) − 0.0918 ∗∗∗ − 0.1009 ∗∗∗ 0.0526 ∗∗∗ Log(Baseline price) (0.0051) (0.0201) (0.0209) Bill HDDs T T T T T T Household FE T T T T T T Month-of-sample FE F T F F T F City by month-of-sample FE T F T T F T Sample Full CA Border Border Full CA Border Border N 621,935,402 5,754,088 5,754,088 621,935,402 5,754,088 5,754,088 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Each price in the table is the second lag of price, i.e. , the prices from two bills prior to the current bill. Significance levels: *10%, **5%, ***1%.

  26. Empirical strategy OLS “elasticity” results Dependent variable: Log(Consumption, daily avg.) ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) ( 6 ) 0.7306 ∗∗∗ 0.4346 ∗∗∗ 0.4276 ∗∗∗ Log(Marginal price) (0.0062) (0.0136) (0.0134) − 0.0918 ∗∗∗ − 0.1009 ∗∗∗ 0.0526 ∗∗∗ Log(Baseline price) (0.0051) (0.0201) (0.0209) Bill HDDs T T T T T T Household FE T T T T T T Month-of-sample FE F T F F T F City by month-of-sample FE T F T T F T Sample Full CA Border Border Full CA Border Border N 621,935,402 5,754,088 5,754,088 621,935,402 5,754,088 5,754,088 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Each price in the table is the second lag of price, i.e. , the prices from two bills prior to the current bill. Significance levels: *10%, **5%, ***1%.

  27. Empirical strategy Potential solutions To break the potential sources endogeneity, we employ a multi-part strategy: 1 Border discontinuity 2 Supply-shifting instrument Robustness: Baseline price or simulated instruments

  28. Empirical strategy Border discontinuity Discontinuity: The border between PG&E and SoCalGas bisects 11 cities (39 zip codes) in southern California (akin to Ito, 2014). Motivation: Represents edge of long-established underground networks of pipes. Identification: If the boundary is orthogonal to consumers’ preferences, then we can identify off of the within-city differences in prices and consumption across this discontinuity ( i.e. , one side controls for the other). Common concern: Sorting.

  29. Study-area discontinuity: Zip codes in cities served by both utilities Utility presence: PG&E SoCalGas PG&E and SoCalGas Utility presence: PG&E SoCalGas PG&E and SoCalGas

  30. Study-area discontinuity: Zip codes in cities served by both utilities Fresno Del Rey Fowler Selma Paso Robles Templeton Bakersfield Fellows Taft Tehachapi Arvin Utility presence: PG&E SoCalGas PG&E and SoCalGas Utility presence: PG&E SoCalGas PG&E and SoCalGas

  31. Supply-shifting instrument Henry Hub spot-price instrument Instrument: Avg. spot price at Louisiana’s Henry Hub in the week preceding price changes, interacted with utility. Motivation: Reflects national price of natural gas: utilities purchase gas from a nationally integrated market. Utilities are rate-of-return earners. Identification: Valid instrument if 1 Spot prices predict residential prices, and 2 Spot prices are uncorrelated with demand shocks, after controlling for within-bill HDDs and city by month-of-sample fixed effects.

  32. Empirical strategy Henry Hub spot-price instrument The first- and second-stages for this IV strategy: log ( p i , t ) = π 1 a p spot + π 1 b p spot × SCG i + π 2 HDD bill i , t + HH i + City i , t + u i , t i , t i , t � log ( q i , t ) = η 1 log ( p i , t ) + η 2 HDD bill i , t + HH i + City i , t + v i , t where p i , t household i ’s price in period t p spot the spot price in the weeks preceding i ’s utility setting p i , t i , t indicator for whether household i ’s utility is SoCalGas SCG i HDD bill number of HDDs during household i ’s bill in time period t i , t fixed effect for household i HH i fixed effect for i ’s city in month-of-sample t City i , t q i , t household i ’s average daily consumption during their bill in t

  33. Visual first stage: Prices over time 1.2 Price (USD per therm) 0.8 0.4 0.0 2010 2012 2014 2016 Date Price: Henry Hub spot PG&E SoCalGas

  34. Which bill?

  35. S M T W T F S 1 2 3 4 5 6 7 S M T W T F S 8 9 10 11 12 13 14 1 2 3 4 5 6 7 15 16 17 18 19 20 21 8 9 10 11 12 13 14 22 23 24 25 26 27 28 15 16 17 18 19 20 21 29 30 31 22 23 24 25 26 27 28 1 2 3 4 29 30 31 5 6 7 8 9 10 11 1 2 3 4 12 13 14 15 16 17 18 5 6 7 8 9 10 11 Billing cycle example 19 20 21 22 23 24 25 12 13 14 15 16 17 18 S M T W T F S S M T W T F S S M T W T F S 26 27 28 29 30 19 20 21 22 23 24 25 Billing period Jan. Nov. 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 26 27 28 29 30 Lag 3 Billing period 8 9 10 11 12 13 14 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 5 6 7 8 9 1 2 Lag 2 Lag 3 15 16 17 18 19 20 21 15 16 17 18 19 20 21 15 16 17 18 19 20 21 10 11 12 13 14 15 16 Lag 1 3 4 5 6 7 8 9 Lag 2 Current 22 23 24 25 26 27 28 22 23 24 25 26 27 28 22 23 24 25 26 27 28 17 18 19 20 21 22 23 10 11 12 13 14 15 16 Lag 1 29 30 31 29 30 31 29 30 31 24 25 26 27 28 29 30 Current 17 18 19 20 21 22 23 Dec. 1 2 3 4 1 2 3 4 1 2 3 4 31 24 25 26 27 28 29 30 5 6 7 8 9 10 11 Feb. 5 6 7 8 9 10 11 5 6 7 8 9 10 11 1 2 3 4 5 6 31 12 13 14 15 16 17 18 12 13 14 15 16 17 18 12 13 14 15 16 17 18 7 8 9 10 11 12 13 1 2 3 4 5 6 Bill received 19 20 21 22 23 24 25 19 20 21 22 23 24 25 14 15 16 17 18 19 20 19 20 21 22 23 24 25 7 8 9 10 11 12 13 Bill received 26 27 28 29 30 26 27 28 29 30 26 27 28 29 30 21 22 23 24 25 26 27 14 15 16 17 18 19 20 Billing period Billing period Billing period 1 2 1 2 1 2 28 29 30 21 22 23 24 25 26 27 Lag 3 Lag 3 Lag 3 Bill due Mar. 3 4 5 6 7 8 9 3 4 5 6 7 8 9 3 4 5 6 7 8 9 1 2 3 4 Lag 2 Lag 2 Lag 2 28 29 30 Bill due 10 11 12 13 14 15 16 10 11 12 13 Lag 1 14 15 16 Lag 1 10 11 12 13 14 15 16 5 6 7 8 Lag 1 9 10 11 1 2 3 4 Current Current Current 17 18 19 20 21 22 23 17 18 19 20 21 22 23 17 18 19 20 21 22 23 12 13 14 15 16 17 18 5 6 7 8 9 10 11 24 25 26 27 28 29 30 24 25 26 27 28 29 30 24 25 26 27 28 29 30 12 13 14 15 16 17 18 31 31 31 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 7 8 9 10 11 12 13 7 8 9 10 11 12 13 7 8 9 10 11 12 13 Bill received Bill received Bill received 14 15 16 17 18 19 20 14 15 16 17 18 19 20 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 21 22 23 24 25 26 27 28 29 30 28 29 30 28 29 30 Bill due Bill due Bill due 1 2 3 4 1 2 3 4 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 5 6 7 8 9 10 11 12 13 14 15 16 17 18 12 13 14 15 16 17 18 12 13 14 15 16 17 18

  36. Elasticity results

  37. Elasticity results Two-stage least squares Dependent variable: Log(Consumption, daily avg.) Panel A: First stage ( 1 ) ( 2 ) ( 3 ) ( 4 ) Type of price: Marginal Average Avg. Mrg. Baseline 0.3679 ∗∗∗ 0.3697 ∗∗∗ 0.3384 ∗∗∗ 0.4699 ∗∗∗ Spot price (0.0774) (0.0521) (0.0570) (0.0434) 0.7868 ∗∗∗ 0.7174 ∗∗∗ 0.9389 ∗∗∗ 0.8212 ∗∗∗ Spot price × SoCalGas (0.0299) (0.0186) (0.0198) (0.0176) Panel B: Second stage − 0.2098 ∗∗∗ − 0.2312 ∗∗∗ − 0.1734 ∗∗∗ − 0.2030 ∗∗∗ Log(Price) (instrumented) (0.0706) (0.076) (0.0585) (0.065) First-stage F stat. 418.4 899.4 1,311.0 1,333.2 Bill HDDs T T T T Household FE T T T T City mo.-of-sample FE T T T T N 5,754,085 5,754,085 5,754,085 5,754,085 Notes: Each column denotes a separate 2SLS regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%. Robustness. Simulated IV results. Heterogeneity results.

  38. Elasticity results Two-stage least squares Dependent variable: Log(Consumption, daily avg.) Panel A: First stage ( 1 ) ( 2 ) ( 3 ) ( 4 ) Type of price: Marginal Average Avg. Mrg. Baseline 0.3679 ∗∗∗ 0.3697 ∗∗∗ 0.3384 ∗∗∗ 0.4699 ∗∗∗ Spot price (0.0774) (0.0521) (0.0570) (0.0434) 0.7868 ∗∗∗ 0.7174 ∗∗∗ 0.9389 ∗∗∗ 0.8212 ∗∗∗ Spot price × SoCalGas (0.0299) (0.0186) (0.0198) (0.0176) Panel B: Second stage − 0.2098 ∗∗∗ − 0.2312 ∗∗∗ − 0.1734 ∗∗∗ − 0.2030 ∗∗∗ Log(Price) (instrumented) (0.0706) (0.076) (0.0585) (0.065) First-stage F stat. 418.4 899.4 1,311.0 1,333.2 Bill HDDs T T T T Household FE T T T T City mo.-of-sample FE T T T T N 5,754,085 5,754,085 5,754,085 5,754,085 Notes: Each column denotes a separate 2SLS regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%. Robustness. Simulated IV results. Heterogeneity results.

  39. Elasticity results Two-stage least squares Dependent variable: Log(Consumption, daily avg.) Panel A: First stage ( 1 ) ( 2 ) ( 3 ) ( 4 ) Type of price: Marginal Average Avg. Mrg. Baseline 0.3679 ∗∗∗ 0.3697 ∗∗∗ 0.3384 ∗∗∗ 0.4699 ∗∗∗ Spot price (0.0774) (0.0521) (0.0570) (0.0434) 0.7868 ∗∗∗ 0.7174 ∗∗∗ 0.9389 ∗∗∗ 0.8212 ∗∗∗ Spot price × SoCalGas (0.0299) (0.0186) (0.0198) (0.0176) Panel B: Second stage − 0.2098 ∗∗∗ − 0.2312 ∗∗∗ − 0.1734 ∗∗∗ − 0.2030 ∗∗∗ Log(Price) (instrumented) (0.0706) (0.076) (0.0585) (0.065) First-stage F stat. 418.4 899.4 1,311.0 1,333.2 Bill HDDs T T T T Household FE T T T T City mo.-of-sample FE T T T T N 5,754,085 5,754,085 5,754,085 5,754,085 Notes: Each column denotes a separate 2SLS regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%. Robustness. Simulated IV results. Heterogeneity results.

  40. Elasticity results Two-stage least squares Dependent variable: Log(Consumption, daily avg.) Panel A: First stage ( 1 ) ( 2 ) ( 3 ) ( 4 ) Type of price: Marginal Average Avg. Mrg. Baseline 0.3679 ∗∗∗ 0.3697 ∗∗∗ 0.3384 ∗∗∗ 0.4699 ∗∗∗ Spot price (0.0774) (0.0521) (0.0570) (0.0434) 0.7868 ∗∗∗ 0.7174 ∗∗∗ 0.9389 ∗∗∗ 0.8212 ∗∗∗ Spot price × SoCalGas (0.0299) (0.0186) (0.0198) (0.0176) Panel B: Second stage − 0.2098 ∗∗∗ − 0.2312 ∗∗∗ − 0.1734 ∗∗∗ − 0.2030 ∗∗∗ Log(Price) (instrumented) (0.0706) (0.076) (0.0585) (0.065) First-stage F stat. 418.4 899.4 1,311.0 1,333.2 Bill HDDs T T T T Household FE T T T T City mo.-of-sample FE T T T T N 5,754,085 5,754,085 5,754,085 5,754,085 Notes: Each column denotes a separate 2SLS regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%. Robustness. Simulated IV results. Heterogeneity results.

  41. Elasticity results Two-stage least squares Dependent variable: Log(Consumption, daily avg.) Panel A: First stage ( 1 ) ( 2 ) ( 3 ) ( 4 ) Type of price: Marginal Average Avg. Mrg. Baseline 0.3679 ∗∗∗ 0.3697 ∗∗∗ 0.3384 ∗∗∗ 0.4699 ∗∗∗ Spot price (0.0774) (0.0521) (0.0570) (0.0434) 0.7868 ∗∗∗ 0.7174 ∗∗∗ 0.9389 ∗∗∗ 0.8212 ∗∗∗ Spot price × SoCalGas (0.0299) (0.0186) (0.0198) (0.0176) Panel B: Second stage − 0.2098 ∗∗∗ − 0.2312 ∗∗∗ − 0.1734 ∗∗∗ − 0.2030 ∗∗∗ Log(Price) (instrumented) (0.0706) (0.076) (0.0585) (0.065) First-stage F stat. 418.4 899.4 1,311.0 1,333.2 Bill HDDs T T T T Household FE T T T T City mo.-of-sample FE T T T T N 5,754,085 5,754,085 5,754,085 5,754,085 Notes: Each column denotes a separate 2SLS regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%. Robustness. Simulated IV results. Heterogeneity results.

  42. Elasticity results Two-stage least squares Dependent variable: Log(Consumption, daily avg.) Panel A: First stage ( 1 ) ( 2 ) ( 3 ) ( 4 ) Type of price: Marginal Average Avg. Mrg. Baseline 0.3679 ∗∗∗ 0.3697 ∗∗∗ 0.3384 ∗∗∗ 0.4699 ∗∗∗ Spot price (0.0774) (0.0521) (0.0570) (0.0434) 0.7868 ∗∗∗ 0.7174 ∗∗∗ 0.9389 ∗∗∗ 0.8212 ∗∗∗ Spot price × SoCalGas (0.0299) (0.0186) (0.0198) (0.0176) Panel B: Second stage − 0.2098 ∗∗∗ − 0.2312 ∗∗∗ − 0.1734 ∗∗∗ − 0.2030 ∗∗∗ Log(Price) (instrumented) (0.0706) (0.076) (0.0585) (0.065) First-stage F stat. 418.4 899.4 1,311.0 1,333.2 Bill HDDs T T T T Household FE T T T T City mo.-of-sample FE T T T T N 5,754,085 5,754,085 5,754,085 5,754,085 Notes: Each column denotes a separate 2SLS regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%. Robustness. Simulated IV results. Heterogeneity results.

  43. Elasticity results Two-stage least squares Dependent variable: Log(Consumption, daily avg.) Panel A: First stage ( 1 ) ( 2 ) ( 3 ) ( 4 ) Type of price: Marginal Average Avg. Mrg. Baseline 0.3679 ∗∗∗ 0.3697 ∗∗∗ 0.3384 ∗∗∗ 0.4699 ∗∗∗ Spot price (0.0774) (0.0521) (0.0570) (0.0434) 0.7868 ∗∗∗ 0.7174 ∗∗∗ 0.9389 ∗∗∗ 0.8212 ∗∗∗ Spot price × SoCalGas (0.0299) (0.0186) (0.0198) (0.0176) Panel B: Second stage − 0.2098 ∗∗∗ − 0.2312 ∗∗∗ − 0.1734 ∗∗∗ − 0.2030 ∗∗∗ Log(Price) (instrumented) (0.0706) (0.076) (0.0585) (0.065) First-stage F stat. 418.4 899.4 1,311.0 1,333.2 Bill HDDs T T T T Household FE T T T T City mo.-of-sample FE T T T T N 5,754,085 5,754,085 5,754,085 5,754,085 Notes: Each column denotes a separate 2SLS regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%. Robustness. Simulated IV results. Heterogeneity results.

  44. Elasticity results Two-stage least squares Dependent variable: Log(Consumption, daily avg.) Panel A: First stage ( 1 ) ( 2 ) ( 3 ) ( 4 ) Type of price: Marginal Average Avg. Mrg. Baseline 0.3679 ∗∗∗ 0.3697 ∗∗∗ 0.3384 ∗∗∗ 0.4699 ∗∗∗ Spot price (0.0774) (0.0521) (0.0570) (0.0434) 0.7868 ∗∗∗ 0.7174 ∗∗∗ 0.9389 ∗∗∗ 0.8212 ∗∗∗ Spot price × SoCalGas (0.0299) (0.0186) (0.0198) (0.0176) Panel B: Second stage − 0.2098 ∗∗∗ − 0.2312 ∗∗∗ − 0.1734 ∗∗∗ − 0.2030 ∗∗∗ Log(Price) (instrumented) (0.0706) (0.076) (0.0585) (0.065) First-stage F stat. 418.4 899.4 1,311.0 1,333.2 Bill HDDs T T T T Household FE T T T T City mo.-of-sample FE T T T T N 5,754,085 5,754,085 5,754,085 5,754,085 Notes: Each column denotes a separate 2SLS regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%. Robustness. Simulated IV results. Heterogeneity results.

  45. Elasticity results Two-stage least squares Dependent variable: Log(Consumption, daily avg.) Panel A: First stage ( 1 ) ( 2 ) ( 3 ) ( 4 ) Type of price: Marginal Average Avg. Mrg. Baseline 0.3679 ∗∗∗ 0.3697 ∗∗∗ 0.3384 ∗∗∗ 0.4699 ∗∗∗ Spot price (0.0774) (0.0521) (0.0570) (0.0434) 0.7868 ∗∗∗ 0.7174 ∗∗∗ 0.9389 ∗∗∗ 0.8212 ∗∗∗ Spot price × SoCalGas (0.0299) (0.0186) (0.0198) (0.0176) Panel B: Second stage − 0.2098 ∗∗∗ − 0.2312 ∗∗∗ − 0.1734 ∗∗∗ − 0.2030 ∗∗∗ Log(Price) (instrumented) (0.0706) (0.076) (0.0585) (0.065) First-stage F stat. 418.4 899.4 1,311.0 1,333.2 Bill HDDs T T T T Household FE T T T T City mo.-of-sample FE T T T T N 5,754,085 5,754,085 5,754,085 5,754,085 Notes: Each column denotes a separate 2SLS regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%. Robustness. Simulated IV results. Heterogeneity results.

  46. Elasticity results Two-stage least squares Dependent variable: Log(Consumption, daily avg.) Panel A: First stage ( 1 ) ( 2 ) ( 3 ) ( 4 ) Type of price: Marginal Average Avg. Mrg. Baseline 0.3679 ∗∗∗ 0.3697 ∗∗∗ 0.3384 ∗∗∗ 0.4699 ∗∗∗ Spot price (0.0774) (0.0521) (0.0570) (0.0434) 0.7868 ∗∗∗ 0.7174 ∗∗∗ 0.9389 ∗∗∗ 0.8212 ∗∗∗ Spot price × SoCalGas (0.0299) (0.0186) (0.0198) (0.0176) Panel B: Second stage − 0.2098 ∗∗∗ − 0.2312 ∗∗∗ − 0.1734 ∗∗∗ − 0.2030 ∗∗∗ Log(Price) (instrumented) (0.0706) (0.076) (0.0585) (0.065) First-stage F stat. 418.4 899.4 1,311.0 1,333.2 Bill HDDs T T T T Household FE T T T T City mo.-of-sample FE T T T T N 5,754,085 5,754,085 5,754,085 5,754,085 Notes: Each column denotes a separate 2SLS regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%. Robustness. Simulated IV results. Heterogeneity results.

  47. Elasticity results Two-stage least squares Dependent variable: Log(Consumption, daily avg.) Panel A: First stage ( 1 ) ( 2 ) ( 3 ) ( 4 ) Type of price: Marginal Average Avg. Mrg. Baseline 0.3679 ∗∗∗ 0.3697 ∗∗∗ 0.3384 ∗∗∗ 0.4699 ∗∗∗ Spot price (0.0774) (0.0521) (0.0570) (0.0434) 0.7868 ∗∗∗ 0.7174 ∗∗∗ 0.9389 ∗∗∗ 0.8212 ∗∗∗ Spot price × SoCalGas (0.0299) (0.0186) (0.0198) (0.0176) Panel B: Second stage − 0.2098 ∗∗∗ − 0.2312 ∗∗∗ − 0.1734 ∗∗∗ − 0.2030 ∗∗∗ Log(Price) (instrumented) (0.0706) (0.076) (0.0585) (0.065) First-stage F stat. 418.4 899.4 1,311.0 1,333.2 Bill HDDs T T T T Household FE T T T T City mo.-of-sample FE T T T T N 5,754,085 5,754,085 5,754,085 5,754,085 Notes: Each column denotes a separate 2SLS regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%. Robustness. Simulated IV results. Heterogeneity results.

  48. Elasticity results Two-stage least squares Dependent variable: Log(Consumption, daily avg.) Panel A: First stage ( 1 ) ( 2 ) ( 3 ) ( 4 ) Type of price: Marginal Average Avg. Mrg. Baseline 0.3679 ∗∗∗ 0.3697 ∗∗∗ 0.3384 ∗∗∗ 0.4699 ∗∗∗ Spot price (0.0774) (0.0521) (0.0570) (0.0434) 0.7868 ∗∗∗ 0.7174 ∗∗∗ 0.9389 ∗∗∗ 0.8212 ∗∗∗ Spot price × SoCalGas (0.0299) (0.0186) (0.0198) (0.0176) Panel B: Second stage − 0.2098 ∗∗∗ − 0.2312 ∗∗∗ − 0.1734 ∗∗∗ − 0.2030 ∗∗∗ Log(Price) (instrumented) (0.0706) (0.076) (0.0585) (0.065) First-stage F stat. 418.4 899.4 1,311.0 1,333.2 Bill HDDs T T T T Household FE T T T T City mo.-of-sample FE T T T T N 5,754,085 5,754,085 5,754,085 5,754,085 Notes: Each column denotes a separate 2SLS regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%. Robustness. Simulated IV results. Heterogeneity results.

  49. Elasticity results Two-stage least squares Dependent variable: Log(Consumption, daily avg.) Panel A: First stage ( 1 ) ( 2 ) ( 3 ) ( 4 ) Type of price: Marginal Average Avg. Mrg. Baseline 0.3679 ∗∗∗ 0.3697 ∗∗∗ 0.3384 ∗∗∗ 0.4699 ∗∗∗ Spot price (0.0774) (0.0521) (0.0570) (0.0434) 0.7868 ∗∗∗ 0.7174 ∗∗∗ 0.9389 ∗∗∗ 0.8212 ∗∗∗ Spot price × SoCalGas (0.0299) (0.0186) (0.0198) (0.0176) Panel B: Second stage − 0.2098 ∗∗∗ − 0.2312 ∗∗∗ − 0.1734 ∗∗∗ − 0.2030 ∗∗∗ Log(Price) (instrumented) (0.0706) (0.076) (0.0585) (0.065) First-stage F stat. 418.4 899.4 1,311.0 1,333.2 Bill HDDs T T T T Household FE T T T T City mo.-of-sample FE T T T T N 5,754,085 5,754,085 5,754,085 5,754,085 Notes: Each column denotes a separate 2SLS regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%. Robustness. Simulated IV results. Heterogeneity results.

  50. What about lags?

  51. Comparing lags: Second-stage results Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) Lag of Marginal Price ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) 1 Lead No lag 1 Lag 2 Lags 3 Lags − 0.2098 ∗∗∗ − 0.1582 ∗∗ − 0.1121 − 0.0223 Log(Mrg. Price) 0.0480 (0.0902) (0.0762) (0.0668) (0.0706) (0.0698) instrumented First-stage F stat. 326.7 337.9 410.8 418.4 403.4 Bill HDDs T T T T T Household FE T T T T T City month-of-sample FE T T T T T N 5,501,467 5,754,088 5,754,088 5,754,085 5,754,079 Notes: Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  52. Comparing lags: Second-stage results Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) Lag of Marginal Price ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) 1 Lead No lag 1 Lag 2 Lags 3 Lags − 0.2098 ∗∗∗ − 0.1582 ∗∗ − 0.1121 − 0.0223 Log(Mrg. Price) 0.0480 (0.0902) (0.0762) (0.0668) (0.0706) (0.0698) instrumented First-stage F stat. 326.7 337.9 410.8 418.4 403.4 Bill HDDs T T T T T Household FE T T T T T City month-of-sample FE T T T T T N 5,501,467 5,754,088 5,754,088 5,754,085 5,754,079 Notes: Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  53. Comparing lags: Second-stage results Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) Lag of Marginal Price ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) 1 Lead No lag 1 Lag 2 Lags 3 Lags − 0.2098 ∗∗∗ − 0.1582 ∗∗ − 0.1121 − 0.0223 Log(Mrg. Price) 0.0480 (0.0902) (0.0762) (0.0668) (0.0706) (0.0698) instrumented First-stage F stat. 326.7 337.9 410.8 418.4 403.4 Bill HDDs T T T T T Household FE T T T T T City month-of-sample FE T T T T T N 5,501,467 5,754,088 5,754,088 5,754,085 5,754,079 Notes: Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  54. Comparing lags: Second-stage results Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) Lag of Marginal Price ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) 1 Lead No lag 1 Lag 2 Lags 3 Lags − 0.2098 ∗∗∗ − 0.1582 ∗∗ − 0.1121 − 0.0223 Log(Mrg. Price) 0.0480 (0.0902) (0.0762) (0.0668) (0.0706) (0.0698) instrumented First-stage F stat. 326.7 337.9 410.8 418.4 403.4 Bill HDDs T T T T T Household FE T T T T T City month-of-sample FE T T T T T N 5,501,467 5,754,088 5,754,088 5,754,085 5,754,079 Notes: Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  55. Comparing lags: Second-stage results Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) Lag of Marginal Price ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) 1 Lead No lag 1 Lag 2 Lags 3 Lags − 0.2098 ∗∗∗ − 0.1582 ∗∗ − 0.1121 − 0.0223 Log(Mrg. Price) 0.0480 (0.0902) (0.0762) (0.0668) (0.0706) (0.0698) instrumented First-stage F stat. 326.7 337.9 410.8 418.4 403.4 Bill HDDs T T T T T Household FE T T T T T City month-of-sample FE T T T T T N 5,501,467 5,754,088 5,754,088 5,754,085 5,754,079 Notes: Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  56. Comparing lags: Second-stage results Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) Lag of Marginal Price ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) 1 Lead No lag 1 Lag 2 Lags 3 Lags − 0.2098 ∗∗∗ − 0.1582 ∗∗ − 0.1121 − 0.0223 Log(Mrg. Price) 0.0480 (0.0902) (0.0762) (0.0668) (0.0706) (0.0698) instrumented First-stage F stat. 326.7 337.9 410.8 418.4 403.4 Bill HDDs T T T T T Household FE T T T T T City month-of-sample FE T T T T T N 5,501,467 5,754,088 5,754,088 5,754,085 5,754,079 Notes: Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  57. Comparing lags: Second-stage results Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) Lag of Marginal Price ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) 1 Lead No lag 1 Lag 2 Lags 3 Lags − 0.2098 ∗∗∗ − 0.1582 ∗∗ − 0.1121 − 0.0223 Log(Mrg. Price) 0.0480 (0.0902) (0.0762) (0.0668) (0.0706) (0.0698) instrumented First-stage F stat. 326.7 337.9 410.8 418.4 403.4 Bill HDDs T T T T T Household FE T T T T T City month-of-sample FE T T T T T N 5,501,467 5,754,088 5,754,088 5,754,085 5,754,079 Notes: Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  58. What about heterogeneity?

  59. Heterogeneity by season or income Second-stage results: Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) Split by Season Split by CARE (Income) ( 1 ) ( 2 ) ( 3 ) ( 4 ) Summer Winter CARE Non-CARE 0.0519 ∗ − 0.3769 ∗∗∗ − 0.2443 ∗∗∗ − 0.1413 ∗∗ Log(Mrg. Price) instrumented (0.0285) (0.1399) (0.0794) (0.0684) First-stage F stat. 319.6 174.2 393.7 335.8 Bill HDDs T T T T Household FE T T T T City month-of-sample FE T T T T N 3,065,917 2,688,168 2,435,135 3,318,950 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  60. Heterogeneity by season or income Second-stage results: Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) Split by Season Split by CARE (Income) ( 1 ) ( 2 ) ( 3 ) ( 4 ) Summer Winter CARE Non-CARE 0.0519 ∗ − 0.3769 ∗∗∗ − 0.2443 ∗∗∗ − 0.1413 ∗∗ Log(Mrg. Price) instrumented (0.0285) (0.1399) (0.0794) (0.0684) First-stage F stat. 319.6 174.2 393.7 335.8 Bill HDDs T T T T Household FE T T T T City month-of-sample FE T T T T N 3,065,917 2,688,168 2,435,135 3,318,950 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  61. Heterogeneity by season or income Second-stage results: Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) Split by Season Split by CARE (Income) ( 1 ) ( 2 ) ( 3 ) ( 4 ) Summer Winter CARE Non-CARE 0.0519 ∗ − 0.3769 ∗∗∗ − 0.2443 ∗∗∗ − 0.1413 ∗∗ Log(Mrg. Price) instrumented (0.0285) (0.1399) (0.0794) (0.0684) First-stage F stat. 319.6 174.2 393.7 335.8 Bill HDDs T T T T Household FE T T T T City month-of-sample FE T T T T N 3,065,917 2,688,168 2,435,135 3,318,950 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  62. Heterogeneity by season or income Second-stage results: Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) Split by Season Split by CARE (Income) ( 1 ) ( 2 ) ( 3 ) ( 4 ) Summer Winter CARE Non-CARE 0.0519 ∗ − 0.3769 ∗∗∗ − 0.2443 ∗∗∗ − 0.1413 ∗∗ Log(Mrg. Price) instrumented (0.0285) (0.1399) (0.0794) (0.0684) First-stage F stat. 319.6 174.2 393.7 335.8 Bill HDDs T T T T Household FE T T T T City month-of-sample FE T T T T N 3,065,917 2,688,168 2,435,135 3,318,950 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  63. Heterogeneity by season or income Second-stage results: Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) Split by Season Split by CARE (Income) ( 1 ) ( 2 ) ( 3 ) ( 4 ) Summer Winter CARE Non-CARE 0.0519 ∗ − 0.3769 ∗∗∗ − 0.2443 ∗∗∗ − 0.1413 ∗∗ Log(Mrg. Price) instrumented (0.0285) (0.1399) (0.0794) (0.0684) First-stage F stat. 319.6 174.2 393.7 335.8 Bill HDDs T T T T Household FE T T T T City month-of-sample FE T T T T N 3,065,917 2,688,168 2,435,135 3,318,950 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  64. Heterogeneity by season or income Second-stage results: Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) Split by Season Split by CARE (Income) ( 1 ) ( 2 ) ( 3 ) ( 4 ) Summer Winter CARE Non-CARE 0.0519 ∗ − 0.3769 ∗∗∗ − 0.2443 ∗∗∗ − 0.1413 ∗∗ Log(Mrg. Price) instrumented (0.0285) (0.1399) (0.0794) (0.0684) First-stage F stat. 319.6 174.2 393.7 335.8 Bill HDDs T T T T Household FE T T T T City month-of-sample FE T T T T N 3,065,917 2,688,168 2,435,135 3,318,950 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  65. Heterogeneity by season or income Second-stage results: Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) Split by Season Split by CARE (Income) ( 1 ) ( 2 ) ( 3 ) ( 4 ) Summer Winter CARE Non-CARE 0.0519 ∗ − 0.3769 ∗∗∗ − 0.2443 ∗∗∗ − 0.1413 ∗∗ Log(Mrg. Price) instrumented (0.0285) (0.1399) (0.0794) (0.0684) First-stage F stat. 319.6 174.2 393.7 335.8 Bill HDDs T T T T Household FE T T T T City month-of-sample FE T T T T N 3,065,917 2,688,168 2,435,135 3,318,950 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  66. Heterogeneity by income and season Second-stage results: Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) ( 1 ) ( 2 ) ( 3 ) ( 4 ) Summer Summer Winter Winter CARE Non-CARE CARE Non-CARE 0.0742 ∗∗ − 0.5226 ∗∗∗ − 0.3173 ∗∗ Log(Mrg. Price) 0.0457 instrumented (0.0353) (0.0324) (0.1424) (0.1498) First-stage F stat. 303.4 237.1 145.6 156.7 Bill HDDs T T T T Household FE T T T T City month-of-sample FE T T T T N 1,293,144 1,772,773 1,141,991 1,546,177 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  67. Heterogeneity by income and season Second-stage results: Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) ( 1 ) ( 2 ) ( 3 ) ( 4 ) Summer Summer Winter Winter CARE Non-CARE CARE Non-CARE 0.0742 ∗∗ − 0.5226 ∗∗∗ − 0.3173 ∗∗ Log(Mrg. Price) 0.0457 instrumented (0.0353) (0.0324) (0.1424) (0.1498) First-stage F stat. 303.4 237.1 145.6 156.7 Bill HDDs T T T T Household FE T T T T City month-of-sample FE T T T T N 1,293,144 1,772,773 1,141,991 1,546,177 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  68. Heterogeneity by income and season Second-stage results: Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) ( 1 ) ( 2 ) ( 3 ) ( 4 ) Summer Summer Winter Winter CARE Non-CARE CARE Non-CARE 0.0742 ∗∗ − 0.5226 ∗∗∗ − 0.3173 ∗∗ Log(Mrg. Price) 0.0457 instrumented (0.0353) (0.0324) (0.1424) (0.1498) First-stage F stat. 303.4 237.1 145.6 156.7 Bill HDDs T T T T Household FE T T T T City month-of-sample FE T T T T N 1,293,144 1,772,773 1,141,991 1,546,177 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  69. Heterogeneity by income and season Second-stage results: Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) ( 1 ) ( 2 ) ( 3 ) ( 4 ) Summer Summer Winter Winter CARE Non-CARE CARE Non-CARE 0.0742 ∗∗ − 0.5226 ∗∗∗ − 0.3173 ∗∗ Log(Mrg. Price) 0.0457 instrumented (0.0353) (0.0324) (0.1424) (0.1498) First-stage F stat. 303.4 237.1 145.6 156.7 Bill HDDs T T T T Household FE T T T T City month-of-sample FE T T T T N 1,293,144 1,772,773 1,141,991 1,546,177 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  70. Heterogeneity by income and season Second-stage results: Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) ( 1 ) ( 2 ) ( 3 ) ( 4 ) Summer Summer Winter Winter CARE Non-CARE CARE Non-CARE 0.0742 ∗∗ − 0.5226 ∗∗∗ − 0.3173 ∗∗ Log(Mrg. Price) 0.0457 instrumented (0.0353) (0.0324) (0.1424) (0.1498) First-stage F stat. 303.4 237.1 145.6 156.7 Bill HDDs T T T T Household FE T T T T City month-of-sample FE T T T T N 1,293,144 1,772,773 1,141,991 1,546,177 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  71. Heterogeneity by income and season Second-stage results: Marginal price with Henry Hub spot price IV Dependent variable: Log(Consumption, daily avg.) ( 1 ) ( 2 ) ( 3 ) ( 4 ) Summer Summer Winter Winter CARE Non-CARE CARE Non-CARE 0.0742 ∗∗ − 0.5226 ∗∗∗ − 0.3173 ∗∗ Log(Mrg. Price) 0.0457 instrumented (0.0353) (0.0324) (0.1424) (0.1498) First-stage F stat. 303.4 237.1 145.6 156.7 Bill HDDs T T T T Household FE T T T T City month-of-sample FE T T T T N 1,293,144 1,772,773 1,141,991 1,546,177 Notes: Each column denotes a separate regression. Errors are two-way clustered within (1) household and (2) utility by climate-zone by billing-cycle (the level at which price varies). Significance levels: *10%, **5%, ***1%.

  72. Discussion Utilizing elasticity heterogeneity Motivating observation: Utilities, public utility commissions, and local governments add fees and taxes to bills throughout the year. In California, most of these fees and taxes are volumetric.

  73. Discussion Utilizing elasticity heterogeneity Policy implication: By shifting fees and taxes to the less elastic times of the year ( i.e. , the summer), utilities and governments can decrease the dead-weight losses associated with these charges ( increased efficiency ). Further, because CARE households are substantially more elastic in the winter, this shift is potentially progressive . Two nuances: ◦ Relevant for all fees (volumetric and fixed) if consumers respond to avg. price/total bill. ◦ Implications vary if there are unpriced costs to natural gas consumption ( e.g. , GHGs).

  74. Discussion Utilizing elasticity heterogeneity Policy implication: By shifting fees and taxes to the less elastic times of the year ( i.e. , the summer), utilities and governments can decrease the dead-weight losses associated with these charges ( increased efficiency ). Further, because CARE households are substantially more elastic in the winter, this shift is potentially progressive . Two nuances: ◦ Relevant for all fees (volumetric and fixed) if consumers respond to avg. price/total bill. ◦ Implications vary if there are unpriced costs to natural gas consumption ( e.g. , GHGs).

  75. Summer Winter 1.60 1.60 S S 1.40 1.40 1.20 1.20 1.00 1.00 D τ 0.80 0.80 D τ 0 10 20 30 40 50 0 10 20 30 40 50

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