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Graduate Public Finance Firm Location, Taxes, and Incidence of Local Corporate Tax Cuts Owen Zidar University of Chicago Lecture 4 Graduate Public Finance Capital Taxes Lecture 4 1 / 59

Outline 1 Introduction 2 Model Model overview Worker Location, Housing, and Local Labor Supply Firm Location and Local Labor Demand Incidence 3 Empirical Implementation and Identification Structural and Reduced-Form of the Model Identification of Local Welfare Effects 4 Data and Reduced-Form Analysis of Business Location (skip for time) 5 Estimation: Incidence and Parameter Estimates Reduced-Form Estimation Structural Estimation and Minimum Distance 6 Conclusion Graduate Public Finance Capital Taxes Lecture 4 2 / 59

Outline 1 Introduction 2 Model Model overview Worker Location, Housing, and Local Labor Supply Firm Location and Local Labor Demand Incidence 3 Empirical Implementation and Identification Structural and Reduced-Form of the Model Identification of Local Welfare Effects 4 Data and Reduced-Form Analysis of Business Location (skip for time) 5 Estimation: Incidence and Parameter Estimates Reduced-Form Estimation Structural Estimation and Minimum Distance 6 Conclusion Graduate Public Finance Capital Taxes Lecture 4 3 / 59

I, like many economists, suspect that our corporate income tax is economically self-defeating hurting workers, not capitalists What can workers do to mitigate their plight? One useful step would be to lobby to eliminate the corporate income tax. That might sound like a giveaway to the rich. It s not. The rich, including Boeing s stockholders, can take their companies & run Graduate Public Finance Capital Taxes Lecture 4 4 / 59

Relax two crucial assumptions 1 Firms are perfectly competitive If firm owners earn zero profits, they can not bear incidence 2 Firms are perfectly mobile Every firm is marginal in their location decisions Allow for monopolistically competitive & heterogeneously productive firms Graduate Public Finance Capital Taxes Lecture 4 5 / 59

Who Benefits from State Corp Tax Cuts (AER, 2016) Question: What are the welfare effects of cutting corporate taxes in an open economy on workers, firm owners, and landowners? Contributions 1 New evidence on business location 2 New framework for evaluating welfare effects 3 New assessment of corporate taxation in an open economy Graduate Public Finance Capital Taxes Lecture 4 6 / 59

Who Benefits from State Corporate Tax Cuts? Our Estimate Standard Model Landowners Workers Firm Owners Workers Graduate Public Finance Capital Taxes Lecture 4 7 / 59

Context and Challenges Empirical: Desai et al. 2007, Gravelle 2011, Clausing 2013 Insufficient time series variation in US corporate rates Cross-country variation compares countries with dissimilar institutions Theoretical: Harberger-type general equilibrium with focus on open economy (Gravelle 2010) Computable General Equilibrium Models (Kotlikoff & Summers 1987, Kotlikoff et al. 2013) Graduate Public Finance Capital Taxes Lecture 4 8 / 59

Paper Outline: 3 Steps 1 Develop spatial equilibrium model with firms Allow workers, firm owners, landowners to bear incidence Map reduced-form effects to parameters governing welfare 2 Reduced-form effects of corporate tax cuts Implement state apportionment system using establishment data Number of establishments increases by roughly 3.5% following a 1% corporate tax cut 3 Estimate incidence and structural elasticities Implement reduced-form incidence expressions Minimize distance between reduced-form expressions and estimates to estimate structural elasticities Evaluate consequences for equity & efficiency of corporate tax policy Graduate Public Finance Capital Taxes Lecture 4 9 / 59

Broader Contribution: Local Labor Markets with Firms Last few years - important link between workers and location Kline 2010, Moretti 2011, Busso et al 2013, Diamond 2013, Notowidigdo 2013, Suárez Serrato and Wingender 2012 This literature and benchmark models have representative/identical, perfectly competitive firms & no link between firms and location Incidence: Kotlikoff & Summers 1987, Gordon & Hines 2002 Locational: Rosen 1979, Roback 1982 Monopolistically competitive and heterogeneously productive firms Graduate Public Finance Capital Taxes Lecture 4 10 / 59

Outline 1 Introduction 2 Model Model overview Worker Location, Housing, and Local Labor Supply Firm Location and Local Labor Demand Incidence 3 Empirical Implementation and Identification Structural and Reduced-Form of the Model Identification of Local Welfare Effects 4 Data and Reduced-Form Analysis of Business Location (skip for time) 5 Estimation: Incidence and Parameter Estimates Reduced-Form Estimation Structural Estimation and Minimum Distance 6 Conclusion Graduate Public Finance Capital Taxes Lecture 4 11 / 59

Model Graduate Public Finance Capital Taxes Lecture 4 12 / 59

A Spatial Equilibrium Model with Firms You have to start this conversation with the philosophy that businesses have more choices than they ever have before. And if you don t believe that, you say taxes don t matter. But if you do believe that, which I do, it s one of those things, along with quality of life, quality of education, quality of infrastructure, cost of labor, it s one of those things that matter. Delaware Governor Jack Markell (11/3/2013) 1 Graduate Public Finance Capital Taxes Lecture 4 13 / 59

A Spatial Equilibrium Model with Firms: Outline 1 Setup 2 Worker Location, Labor Supply Moretti (2011), Busso et al (2013) 3 Housing Market Kline (2010), Notowidigdo (2012) 4 Firm Location and Labor Demand Dixit-Stiglitz (1977), Krugman (1979), Melitz (2003) 5 Results: Incidence ẇ(θ), π(θ), ṙ(θ) ε LS (θ) and ε LD (θ), and b(θ) Graduate Public Finance Capital Taxes Lecture 4 14 / 59

Equilibrium in the Local Labor Market Graduate Public Finance Capital Taxes Lecture 4 15 / 59

Equilibrium in the Local Labor Market Graduate Public Finance Capital Taxes Lecture 4 16 / 59

Equilibrium in the Local Labor Market Graduate Public Finance Capital Taxes Lecture 4 17 / 59

Model Setup 1 Geography: Small open economy c C 2 Agents: N c households, E c establishments, representative landowner in each location c 3 Market Structure: Monopolistically competitive traded goods market for each variety j Global capital market Local labor market Local housing market 4 Timing: Steady state, exogenous tax shock, new steady state Graduate Public Finance Capital Taxes Lecture 4 18 / 59

Household Problem max h,x ln A }{{} amenitites + α}{{ ln h} + (1 α) ln X }{{} housing composite good s.t. rh + j J p j x j dj = w where X = ( j J ε PD +1 ε x PD j dj rh is housing expenditures ) ε PD ε PD +1 p j x j is expenditure on variety j Indirect Utility of a Worker: V W nc = a 0 + ln w c α ln r }{{ c + } ln A }{{ nc } Disposable income Amenities Āc+ξnc Graduate Public Finance Capital Taxes Lecture 4 19 / 59

Local Labor Supply Location choice: Workers choose location with max utility: max c a 0 + ln w c α ln r c + Ā }{{ c +ξ } nc. u c Local Population: N c = P ( V W nc (Log) Local Labor Supply: ) = max{v W c nc } = exp uc σ W c exp u c σ W ln N c (w c, r c ; Āc) = 1 ( ) ln wc σ W α ln r c + Āc + C0 Key Parameter: σ W, dispersion of idiosyncratic preferences ξ nc Graduate Public Finance Capital Taxes Lecture 4 20 / 59

Housing Market Housing Market: Upward-sloping supply of housing: H S c = (B H c r c ) ηc B H c is housing productivity r c is price of housing With Cobb-Douglas H D c, HM equilibrium given by: ln r c = 1 (ln N c + ln w c ) +C 1 + η c }{{} 1 Housing Demand Key Parameter: η c elasticity of housing supply Graduate Public Finance Capital Taxes Lecture 4 21 / 59

Local Labor Supply: Key points People move into a local area when wages increase How many people move in depends on: 1 Dispersion of Idiosyncratic Preferences σ W Higher σ W means smaller inflows of people following wage increases 2 Housing Supply Elasticity η c Lower η c means rents get bid up more when people move in Higher σ W and lower η c make ε LS smaller, so LS is more vertical Graduate Public Finance Capital Taxes Lecture 4 22 / 59

Establishment Production Graduate Public Finance Capital Taxes Lecture 4 23 / 59

Local Labor Demand: Establishment Production Demand for variety j is y jc = I ( p jc ) ε PD P Establishment j produces its variety with the following technology y jc = γ B jc ljc }{{} kδ jcm 1 γ δ jc B c+ζ jc Firm Value Function V F jc = Taxes {}}{ ln(1 τs b ) (ε PD + 1) Factor Prices {}}{ γ ln w c δ ln ρ + B c } {{ } v c +ζ jc. Graduate Public Finance Capital Taxes Lecture 4 24 / 59

Location Choice & Local Establishment Shares Fraction of Establishments: ( ) E c = P Vjc F = max{vjc F } = Establishment Growth: c exp vc σ F c exp v c σ F ln E c,t = ln(1 τ b c,t) σ F (ε PD + 1) γ σ F ln w c,t + φ t + 1 σ F B c,t Key Parameter: Dispersion of idiosyncratic productivity σ F Larger σ F means lower responsiveness to tax changes Graduate Public Finance Capital Taxes Lecture 4 25 / 59

Local Labor Demand Aggregate labor demand for firms in location c: Elasticity of labor demand: L D c = E }{{} c E ζ [l (ζ jc ) c] }{{} Extensive margin Intensive margin ln L D c ln w c = γ 1 }{{} Substitution More elastic ε LD when: + γε PD }{{} Scale Higher output elasticity of labor γ Higher product demand elasticity ε PD γ σ F }{{} Firm Location ε LD Lower productivity dispersion σ F (i.e. firms more mobile) Graduate Public Finance Capital Taxes Lecture 4 26 / 59

Result: Local Incidence of State Corporate Taxes (1/2) Let ẇ c (θ) ln wc. Incidence on wages is: ln(1 τ b ) 1 (ε PD +1)σ F ẇ c (θ) = ( ) ( 1 + ηc α σ W γ ɛ PD + 1 1 (1 + η c ) + α }{{} ε LS Smaller wage increase if: σ F ) + 1 } {{ } ε LD 1 Productivity Dispersion σ F is large (i.e. immobile firms) 2 Preferences Dispersion σ W is small (i.e. mobile people) 3 Any other reason why ε LS and ε LD are large Graduate Public Finance Capital Taxes Lecture 4 27 / 59

Result: Local Incidence of State Corporate Taxes (2/2) Rental Costs: ṙ c (θ) = ( 1+ε LS 1+η c ) ẇ c Smaller rent increases if housing supply is very elastic Firm Profits: π c (θ) = 1 δ(ε PD + 1) }{{} + γ(ε PD + 1)ẇ }{{ c } Reducing Capital Wedge Higher Labor Costs Mechanical effects vs. higher production costs Graduate Public Finance Capital Taxes Lecture 4 28 / 59

Welfare Effects of Corporate Tax Cut Stakeholder Benefit Statistic Workers Disposable Income ẇ c αṙ c Landowners Housing Costs ṙ c Firm Owners After-tax Profit 1 δ(ε PD + 1) + γ(ε PD ( + 1)ẇ c ) = 1 + γ(ε PD + 1) ẇ }{{} c δ γ Labor cost factor Net Markup Graduate Public Finance Capital Taxes Lecture 4 29 / 59

Outline 1 Introduction 2 Model Model overview Worker Location, Housing, and Local Labor Supply Firm Location and Local Labor Demand Incidence 3 Empirical Implementation and Identification Structural and Reduced-Form of the Model Identification of Local Welfare Effects 4 Data and Reduced-Form Analysis of Business Location (skip for time) 5 Estimation: Incidence and Parameter Estimates Reduced-Form Estimation Structural Estimation and Minimum Distance 6 Conclusion Graduate Public Finance Capital Taxes Lecture 4 30 / 59

Empirical Implementation and Identification Graduate Public Finance Capital Taxes Lecture 4 31 / 59

Structural Form of the Model where A = 1 α 1 0 σ W σ W 1 AY c,t = BZ c,t + e c,t 1 1 0 0 ε LD 1+η 1 1+η 1 0, B = γ 0 0 1 σ F 0 1 ε LD σ F (ε PD +1) 0 1 σ F (ε PD +1) Y c,t = [ ln w c,t ln N c,t ln r c,t ln E c,t ] Z c,t = [ ln(1 τ b c,t) ] e c,t is a structural error term Graduate Public Finance Capital Taxes Lecture 4 32 / 59

Exact Reduced Form of the Model Y c,t = A 1 B }{{} β Business Tax Z c,t + A 1 e c,t where β Business Tax is a vector of reduced-form effects of business tax changes: β W ẇ ẇε LS 1+ε LS β Business Tax = β N β R = β E µ 1 σ F 1+η ẇ γ σ F. ẇ Graduate Public Finance Capital Taxes Lecture 4 33 / 59

4 Reduced-Form Equations of the Model Effects on establishments, pop., wages, & rental cost growth over 10 years b ln w c,t = (ẇ(θ)) ln(1 τ }{{} c,t) + φ 1 t + uc,t 1 β W ( ) ln N c,t = ε LS ẇ(θ) ln(1 τc,t) b + φ 2 t + uc,t 2 }{{} β N ( ) 1 + ε LS ln r c,t = ẇ(θ) ln(1 τ 1 + η c,t) b + φ 3 t + uc,t 3 c }{{} β R ( 1 ln E c,t = σ F (ε PD + 1) γ ) σ F ẇ(θ) } {{ } β E ln(1 τ b c,t) + φ 4 t + u 4 c,t Graduate Public Finance Capital Taxes Lecture 4 34 / 59

Identification of Local Welfare Effects Reduced forms: ẇ = β W, N = β N = ε LS = βn β W Labor Demand ε LD = γ(ε PD + 1) γ 1 σ F Establishment Location ln D ln(1 t) = βe + γ β W σ F β W = β N β W β E + γ σ F β W γ(ɛ PD + 1) + γ σ F + 1 = γ(εpd + 1) = ( β N β E ) β W + 1 Graduate Public Finance Capital Taxes Lecture 4 35 / 59

Identification of Local Welfare Effects Stakeholder Benefit Statistic Workers Disposable Income ˆβW α ˆβ R Landowners Housing Costs ˆβR ( ) Firm Owners After-tax Profit 1 + ˆβN ˆβ E + 1 ( ˆβ ˆβ W δ W γ ) Graduate Public Finance Capital Taxes Lecture 4 36 / 59

Benefits of the incidence formulae This framework enables us to: 1 Accommodate the conventional view 2 Transparently evaluate the sensitivity of our incidence estimates 3 Use data to govern relative factor mobility 4 Conduct inference and compare results to existing estimates Graduate Public Finance Capital Taxes Lecture 4 37 / 59

Outline 1 Introduction 2 Model Model overview Worker Location, Housing, and Local Labor Supply Firm Location and Local Labor Demand Incidence 3 Empirical Implementation and Identification Structural and Reduced-Form of the Model Identification of Local Welfare Effects 4 Data and Reduced-Form Analysis of Business Location (skip for time) 5 Estimation: Incidence and Parameter Estimates Reduced-Form Estimation Structural Estimation and Minimum Distance 6 Conclusion Graduate Public Finance Capital Taxes Lecture 4 38 / 59

Data and Reduced-Form Analysis of Business Location Skip for time Graduate Public Finance Capital Taxes Lecture 4 39 / 59

Outline 1 Introduction 2 Model Model overview Worker Location, Housing, and Local Labor Supply Firm Location and Local Labor Demand Incidence 3 Empirical Implementation and Identification Structural and Reduced-Form of the Model Identification of Local Welfare Effects 4 Data and Reduced-Form Analysis of Business Location (skip for time) 5 Estimation: Incidence and Parameter Estimates Reduced-Form Estimation Structural Estimation and Minimum Distance 6 Conclusion Graduate Public Finance Capital Taxes Lecture 4 40 / 59

Incidence and Parameter Estimates Graduate Public Finance Capital Taxes Lecture 4 41 / 59

4 Reduced-Form Equations of the Model Effects on establishments, pop., wages, & rental cost growth over 10 years ( 1 ln E c,t = σ F (ε PD + 1) γ ) σ F ẇ(θ) ln(1 τc,t) b + φ 1 t + uc,t 1 }{{} ( ) ln N c,t = ε LS ẇ(θ) ln(1 τc,t) b + φ 2 t + uc,t 2 }{{} β N b ln w c,t = (ẇ(θ)) ln(1 τ }{{} c,t) + φ 3 t + uc,t 3 β W β E ( ) 1 + ε LS ln r c,t = ẇ(θ) ln(1 τ 1 + η c,t) b + φ 4 t + uc,t 4 c }{{} β R Graduate Public Finance Capital Taxes Lecture 4 42 / 59

Identification of Local Incidence on Welfare Stakeholder Benefit Statistic Workers Disposable Income ˆβ W α ˆβ R Landowners Housing Costs ˆβ R ( ) Firm Owners After-tax Profit 1 + ˆβN ˆβ E + 1 ( ˆβ ˆβ W δ W γ ) Housing expenditure share α =.3 from Consumer Expenditure Survey Output Elasticity of Capital δ =.9γ from BEA Graduate Public Finance Capital Taxes Lecture 4 43 / 59

Economic Incidence Estimates Using RF Effects A. Incidence (1) (2) (3) (4) (5) (6) Landowners 1.17 1.17 1.17 0.32 1.86 0.62 (1.43) (1.43) (1.43) (1.36) (1.56) (0.60) Workers 1.1* 0.69 1.1* 0.68 0.98 0.58* (0.59) (0.44) (0.59) (0.52) (0.84) (0.33) Firmowners 1.63* 1.63* 2.08** 0.81 1.54* 0.9*** (0.90) (0.90) (0.95) (1.4) (0.92) (0.34) Specification Net-of-Business Tax Y Y Y Y Y N Net-of-Corporate Tax N N N N N Y Housing share α 0.3 0.65 0.3 0.3 0.3 0.3 Output elasticity ratio δ/γ 0.9 0.9 0.5 0.9 0.9 0.9 Bartik N N N Y Y N Net-of-Personal Tax N N N N Y N Graduate Public Finance Capital Taxes Lecture 4 44 / 59

Economic Incidence Estimates Using RF Effects (cont.) B. Share of Incidence (1) (2) (3) (4) (5) (6) Landowners 0.30 0.34 0.27 0.18 0.42** 0.29* (0.19) (0.24) (0.2) (0.48) (0.17) (0.16) Workers 0.28*** 0.20 0.25*** 0.37 0.22* 0.28*** (0.09) (0.16) (0.07) (0.43) (0.12) (0.08) Firmowners 0.42*** 0.47*** 0.48*** 0.45*** 0.35*** 0.43*** (0.12) (0.10) (0.17) (0.13) (0.09) (0.10) Conventional View Test χ 2 of (S W = 1, S F = 0) 132.67 108.14 48.8 6.96 76.27 195.92 P-value 0.00 0.00 0.00 0.01 0.00 0.00 Specification Net-of-Business Tax Y Y Y Y Y N Net-of-Corporate Tax N N N N N Y Housing share α 0.3 0.65 0.3 0.3 0.3 0.3 Output elasticity ratio δ/γ 0.9 0.9 0.5 0.9 0.9 0.9 Bartik N N N Y Y N Net-of-Personal Tax N N N N Y N Graduate Public Finance Capital Taxes Lecture 4 45 / 59

Structural Estimation 4 Parameters of interest 4 Simultaneous equations with the following outcomes: 1 Establishment Growth 2 Population Growth 3 Wage Growth 4 Rental Cost Growth RF effects of Taxes on 4 Outcomes to estimate σ F, σ W, η Enhance precision with supplement labor demand (Bartik) Shocks 1 RF effects of Both Shocks on 4 Outcomes σ F, σ W, η 2 RF effects of Both Shocks on 4 Outcomes σ F, σ W, η, ε PD Graduate Public Finance Capital Taxes Lecture 4 46 / 59

Parameters θ 1. Estimated Parameters 1 Productivity Dispersion σ F 2 Preference Dispersion σ W 3 Housing Supply Elasticity η 4 Product Demand Elasticity ε PD 2. Calibrated Parameters Housing expenditure share α =.3 from Consumer Expenditure Survey Output Elasticity of Labor γ [.1,.3] from IRS, BEA Output Elasticity of Capital δ =.9γ from BEA residual of L, M Graduate Public Finance Capital Taxes Lecture 4 47 / 59

4 Reduced-Form Equations of the Model Effects on establishments, pop., wages, & rental cost growth over 10 years ( 1 ln E c,t = σ F (ε PD + 1) γ ) σ F ẇ(θ) ln(1 τc,t) b + φ 1 t + uc,t 1 }{{} ( ) ln N c,t = ε LS ẇ(θ) ln(1 τc,t) b + φ 2 t + uc,t 2 }{{} β N b ln w c,t = (ẇ(θ)) ln(1 τ }{{} c,t) + φ 3 t + uc,t 3 β W β E ( ) 1 + ε LS ln r c,t = ẇ(θ) ln(1 τ 1 + η c,t) b + φ 4 t + uc,t 4 c }{{} β R Graduate Public Finance Capital Taxes Lecture 4 48 / 59

Estimating Structural Parameters 1. Reduced Form: Estimate reduced form ˆb and covariance ˆV 2. Recover Structural Parameters via Classical Minimum Distance: ˆθ = arg min θ Θ [ˆb m(θ)] ˆV 1 [ˆb m(θ)] Results: Panel (a) Business Tax Shock Population Wage Rent Establishments Empirical Moments Business Tax 4.275*** 1.451 1.172 4.074** (1.642) (0.938) (1.428) (1.815) Predicted Moments (γ =.15, ε PD = 2.5) Business Tax 3.514 0.839 0.591 4.542 Over-id Test Test: β E = β N (γ(ε PD + 1) 1)β W χ 2 -Stat 2.453 T-stat -1.566 χ 2 -P-Value 0.117 P-value 0.117 Graduate Public Finance Capital Taxes Lecture 4 49 / 59

Enhancing precision with supplemental LD shocks Effects on establishments, pop., wages, & rental cost growth over 10 years ln E c,t = b 1 ln(1 τc,t) b + b 5 Bartik c,t + φ 1 t + ũc,t 1 ln N c,t = b 2 ln(1 τc,t) b + b 6 Bartik c,t + φ 2 t + ũc,t 2 ln w c,t = b 3 ln(1 τc,t) b + b 7 Bartik c,t + φ 3 t + ũc,t 3 ln r c,t = b 4 ln(1 τc,t) b + b 8 Bartik c,t + φ 4 t + ũc,t 4 Graduate Public Finance Capital Taxes Lecture 4 50 / 59

8 Moments from Tax and Bartik Shocks Panel (b) All Shocks Population Wage Rent Establishments Empirical Moments Business Tax 1.516 1.534 1.857 1.749 (1.915) (1.117) (1.562) (1.540) Bartik 0.446** 0.554*** 0.697*** 0.600*** (0.183) (0.079) (0.257) (0.189) Personal Tax 1.731-0.588-1.192 1.247 (1.247) (0.728) (1.173) (1.420) B. Predicted Moments (γ =.15, ε PD = 2.5) Business Tax 0.736 0.944 1.111 1.893 Bartik 0.424 0.571 0.730 0.479 Personal Tax 1.052-0.596-1.559 0.322 Over-id Test Test: β E = β N (γ(ε PD + 1) 1)β W χ 2 -Stat 4.665 T-stat -1.217 χ 2 -P-Value 0.458 P-value 0.224 Graduate Public Finance Capital Taxes Lecture 4 51 / 59

Structural Elasticities Using Estimated Parameters A. All Shocks Calibrated Parameters (1) (2) (3) (4) (5) (6) (7) Output Elasticity γ 0.150 0.150 0.150 0.200 0.250 0.150 0.250 Housing Share α 0.300 0.500 0.650 0.300 0.300 0.300 0.500 Elasticity of Product -2.500-2.500-2.500-2.500-2.500-4.000-4.000 Demand ε PD Estimated Parameters Idiosyncratic Location 0.277** 0.271** 0.233** 0.321* 0.304 0.149 0.136 Prod. Disp. σ F (0.138) (0.120) (0.092) (0.186) (0.186) (0.096) (0.093) Idiosyncratic Location 0.829*** 0.686*** 0.621*** 0.845*** 0.843*** 0.839*** 0.649** Pref. Disp. σ W (0.282) (0.260) (0.230) (0.294) (0.295) (0.294) (0.253) Elasticity of Housing 0.513 2.185 1.157 1.600 0.707 1.995 2.812 Supply η (1.417) (6.206) (2.661) (5.065) (2.301) (7.320) (13.688) Overid Test (p-value) 0.458 0.390 0.393 0.385 0.444 0.390 0.507 Graduate Public Finance Capital Taxes Lecture 4 52 / 59

Structural Elasticities Using Estimated Parameters (cont.) B. Business Tax Shock C. All Shocks, Estimated ε PD Calibrated Parameters (1) (2) (3) (4) (5) (6) (7) Output Elasticity γ 0.150 0.150 0.250 0.150 0.150 0.150 0.250 Housing Share α 0.300 0.650 0.300 0.300 0.300 0.650 0.300 Elasticity of Product -2.500-2.500-2.500-4.000 Estimated Below Demand ε PD Estimated Parameters Idiosyncratic Location 0.119* 0.117* 0.106 0.048 0.109 0.105 0.138 Prod. Disp. σ F (0.065) (0.064) (0.075) (0.039) (0.392) (0.194) (0.411) Idiosyncratic Location 0.188 0.128 0.171 0.170 0.892*** 0.571** 0.753*** Pref. Disp. σ W (0.184) (0.147) (0.176) (0.175) (0.337) (0.234) (0.245) Elasticity of Housing 6.367 5.724 7.328 6.424 1.925 1.783 3.056 Supply η (15.899) (13.090) (20.574) (16.136) (8.085) (6.503) (25.617) Elasticity of Product -4.704-4.439-4.986 Demand ε PD (11.945) (6.471) (12.190) Overid Test (p-value) 0.117 0.117 0.098 0.088 0.251 0.334 0.290 Graduate Public Finance Capital Taxes Lecture 4 53 / 59

Economic Incidence Using Estimated Parameters A. Incidence (1) (2) (3) (4) (5) All Shocks Business All Shocks Calibrated Parameters Tax Est. ε PD Output Elasticity γ 0.150 0.150 0.150 0.150 0.150 Housing Share α 0.300 0.650 0.300 0.300 0.300 Elasticity of Product -2.500-2.500-4.000-2.500-4.704 Demand ε PD (11.945) Estimated Incidence Wages ẇ 0.944** 1.088** 0.655* 0.839 0.646 (0.408) (0.457) (0.348) (0.847) (1.028) Landowners ṙ 1.111 0.886 0.428 0.591 0.420 (1.119) (1.052) (1.079) (1.373) (1.517) Workers ẇ αṙ 0.611** 0.512 0.527* 0.662 0.520 (0.293) (0.355) (0.269) (0.517) (0.703) Firm Owners π 0.990*** 0.958*** 1.110*** 1.014*** 1.141 (0.092) (0.103) (0.157) (0.191) (1.012) Elasticity of Labor 0.780** 0.757 0.958 4.188 0.902 Supply ε LS (0.386) (0.729) (0.588) (4.795) (0.645) Elasticity of Labor -1.766*** -1.867*** -2.457*** -2.485*** -2.933 Demand ε LD (0.269) (0.252) (0.646) (0.692) (6.731) Graduate Public Finance Capital Taxes Lecture 4 54 / 59

Economic Incidence Using Estimated Parameters (cont.) B. Shares of Incidence (1) (2) (3) (4) (5) All Shocks Business All Shocks Calibrated Parameters Tax Estimated ε PD Output Elasticity γ 0.150 0.150 0.150 0.150 0.150 Housing Share α 0.300 0.650 0.300 0.300 0.300 Elasticity of Product -2.500-2.500-4.000-2.500-4.704 Demand ε PD (11.945) Estimated Incidence Landowners ṙ 0.410 0.376 0.207 0.261 0.202 (0.263) (0.339) (0.434) (0.430) (0.621) Workers ẇ αṙ 0.225* 0.217 0.255 0.292** 0.250 (0.134) (0.197) (0.185) (0.142) (0.290) Firm Owners π 0.365** 0.407** 0.537* 0.447 0.548 (0.168) (0.164) (0.297) (0.392) (0.734) Test of Standard 0.000 0.000 0.000 0.000 0.026 View (p-value) Graduate Public Finance Capital Taxes Lecture 4 55 / 59

Firm Owner s Share of Incidence for Calibrated Values of γ and ε PD Elasticity of Product Demand: ε PD -5-4 -3-2 *Baseline 0.1.2.3.4.5 Output Elasticity of Labor: γ.9.8.7.6.5.4.3 Share to Firm Owners Graduate Public Finance Capital Taxes Lecture 4 56 / 59

Two Additional Considerations 1 Regional Heterogeneity We document average effects, but regions can vary (e.g., housing market elasticities η c ) equity and efficiency impacts vary Everything is bigger in Texas, including the efficiency costs of business location incentives 2 Accounting for (small) Government Spending Changes Quantify 3 scenarios: cutting services, infrastructure, both Expenditure shares on services exceed those on infrastructure, so worker amenities hit more Shared impact even for infrastructure only case (lower productivity lower wages) This reinforces conclusion that firm owners enjoy substantial portion of benefit Graduate Public Finance Capital Taxes Lecture 4 57 / 59

Outline 1 Introduction 2 Model Model overview Worker Location, Housing, and Local Labor Supply Firm Location and Local Labor Demand Incidence 3 Empirical Implementation and Identification Structural and Reduced-Form of the Model Identification of Local Welfare Effects 4 Data and Reduced-Form Analysis of Business Location (skip for time) 5 Estimation: Incidence and Parameter Estimates Reduced-Form Estimation Structural Estimation and Minimum Distance 6 Conclusion Graduate Public Finance Capital Taxes Lecture 4 58 / 59

Conclusion Conventional view: corporate taxation in an open economy hurts workers since shareholders can take their companies and run 1 New Measure of Local Business Taxes 2 New Reduced Form-Effects 3 New Tractable Spatial Equilibrium Framework with Firms New Assessment: in terms of equity and efficiency, corporate taxation in an open economy may not be as bad as we thought Graduate Public Finance Capital Taxes Lecture 4 59 / 59