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data-event-name="pinnable-header.vector-toc.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">hide</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">(Top)</div> </a> </li> <li id="toc-Zero_optimal_capital_income_taxation" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zero_optimal_capital_income_taxation"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Zero optimal capital income taxation</span> </div> </a> <button aria-controls="toc-Zero_optimal_capital_income_taxation-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Zero optimal capital income taxation subsection</span> </button> <ul id="toc-Zero_optimal_capital_income_taxation-sublist" class="vector-toc-list"> <li id="toc-Atkinson–Stiglitz_theorem_(1976)" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Atkinson–Stiglitz_theorem_(1976)"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Atkinson–Stiglitz theorem (1976)</span> </div> </a> <ul id="toc-Atkinson–Stiglitz_theorem_(1976)-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-The_Chamley–Judd_zero_capital_income_tax_result" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#The_Chamley–Judd_zero_capital_income_tax_result"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>The Chamley–Judd zero capital income tax result</span> </div> </a> <ul id="toc-The_Chamley–Judd_zero_capital_income_tax_result-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Non-zero_optimal_capital_income_taxation" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Non-zero_optimal_capital_income_taxation"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Non-zero optimal capital income taxation</span> </div> </a> <button aria-controls="toc-Non-zero_optimal_capital_income_taxation-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Non-zero optimal capital income taxation subsection</span> </button> <ul id="toc-Non-zero_optimal_capital_income_taxation-sublist" class="vector-toc-list"> <li id="toc-Avoidance_of_tax_arbitrage_between_capital_and_labor_incomes" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Avoidance_of_tax_arbitrage_between_capital_and_labor_incomes"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Avoidance of tax arbitrage between capital and labor incomes</span> </div> </a> <ul id="toc-Avoidance_of_tax_arbitrage_between_capital_and_labor_incomes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Borrowing/liquidity_constraints" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Borrowing/liquidity_constraints"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Borrowing/liquidity constraints</span> </div> </a> <ul id="toc-Borrowing/liquidity_constraints-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Correlation_between_return_on_savings_and_ability" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Correlation_between_return_on_savings_and_ability"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Correlation between return on savings and ability</span> </div> </a> <ul id="toc-Correlation_between_return_on_savings_and_ability-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Human_capital_formation" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Human_capital_formation"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4</span> <span>Human capital formation</span> </div> </a> <ul id="toc-Human_capital_formation-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Heterogeneous_preferences" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Heterogeneous_preferences"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.5</span> <span>Heterogeneous preferences</span> </div> </a> <ul id="toc-Heterogeneous_preferences-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Investment_credits" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Investment_credits"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.6</span> <span>Investment credits</span> </div> </a> <ul id="toc-Investment_credits-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-The_relationship_with_Mirrlees_Review" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#The_relationship_with_Mirrlees_Review"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>The relationship with Mirrlees Review</span> </div> </a> <ul id="toc-The_relationship_with_Mirrlees_Review-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li 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a{color:var(--color-progressive)!important}}@media print{body.ns-0 .mw-parser-output .sidebar{display:none!important}}</style><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1246091330"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1246091330"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1246091330"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1246091330"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1246091330"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1246091330"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1246091330"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1246091330"><table class="sidebar sidebar-collapse nomobile nowraplinks hlist"><tbody><tr><td class="sidebar-pretitle">Part of a series on</td></tr><tr><th class="sidebar-title-with-pretitle"><a href="/wiki/Tax" title="Tax">Taxation</a></th></tr><tr><td class="sidebar-image"><span typeof="mw:File"><a href="/wiki/File:10_Percent_Legacy_and_Succession_Duty_Impressed_Duty_Stamp.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/10_Percent_Legacy_and_Succession_Duty_Impressed_Duty_Stamp.svg/100px-10_Percent_Legacy_and_Succession_Duty_Impressed_Duty_Stamp.svg.png" decoding="async" width="100" height="113" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/10_Percent_Legacy_and_Succession_Duty_Impressed_Duty_Stamp.svg/150px-10_Percent_Legacy_and_Succession_Duty_Impressed_Duty_Stamp.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b1/10_Percent_Legacy_and_Succession_Duty_Impressed_Duty_Stamp.svg/200px-10_Percent_Legacy_and_Succession_Duty_Impressed_Duty_Stamp.svg.png 2x" data-file-width="440" data-file-height="496" /></a></span></td></tr><tr><td class="sidebar-above"> An aspect of <a href="/wiki/Fiscal_policy" title="Fiscal policy">fiscal policy</a></td></tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background-color: #efefef;;color: var(--color-base)"><a href="/wiki/Tax_policy" title="Tax policy">Policies</a></div><div class="sidebar-list-content mw-collapsible-content" style="background-color: #ffffff;"> <ul><li><a href="/wiki/Government_revenue" title="Government revenue">Government revenue</a></li> <li><a href="/wiki/Property_tax_equalization" title="Property tax equalization">Property tax equalization</a></li> <li><a href="/wiki/Tax_revenue" title="Tax revenue">Tax revenue</a></li> <li><a href="/wiki/Non-tax_revenue" title="Non-tax revenue">Non-tax revenue</a></li> <li><a href="/wiki/Tax_law" title="Tax law">Tax law</a></li> <li><a href="/wiki/Tax_bracket" title="Tax bracket">Tax bracket</a> <ul><li><a href="/wiki/Flat_tax" title="Flat tax">Flat tax</a></li></ul></li> <li><a href="/wiki/Income_tax_threshold" title="Income tax threshold">Tax threshold</a></li> <li><a href="/wiki/Tax_exemption" title="Tax exemption">Exemption</a></li> <li><a href="/wiki/Tax_credit" title="Tax credit">Credit</a></li> <li><a href="/wiki/Tax_deduction" title="Tax deduction">Deduction</a></li> <li><a href="/wiki/Tax_shift" title="Tax shift">Tax shift</a></li> <li><a href="/wiki/Tax_cut" title="Tax cut">Tax cut</a></li> <li><a href="/wiki/Tax_holiday" title="Tax holiday">Tax holiday</a></li> <li><a href="/wiki/Tax_amnesty" title="Tax amnesty">Tax amnesty</a></li> <li><a href="/wiki/Tax_advantage" title="Tax advantage">Tax advantage</a></li> <li><a href="/wiki/Tax_incentive" title="Tax incentive">Tax incentive</a></li> <li><a href="/wiki/Tax_reform" title="Tax reform">Tax reform</a></li> <li><a href="/wiki/Tax_harmonization" title="Tax harmonization">Tax harmonization</a></li> <li><a href="/wiki/Tax_competition" title="Tax competition">Tax competition</a></li> <li><a href="/wiki/Tax_withholding" title="Tax withholding">Tax withholding</a></li> <li><a href="/wiki/Double_taxation" title="Double taxation">Double taxation</a></li> <li><a href="/wiki/No_taxation_without_representation" title="No taxation without representation">Representation</a></li> <li><a href="/wiki/Taxpayer_groups" title="Taxpayer groups">Unions</a></li> <li><a href="/wiki/Medical_savings_account" title="Medical savings account">Medical savings account</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background-color: #efefef;;color: var(--color-base)"><a href="/wiki/Tax#Economic_effects" title="Tax">Economics</a></div><div class="sidebar-list-content mw-collapsible-content" style="background-color: #ffffff;"><table class="sidebar nomobile nowraplinks" style="background-color: transparent; color: var( --color-base ); border-collapse:collapse; border-spacing:0px; border:none; width:100%; margin:0px; font-size:100%; clear:none; float:none"><tbody><tr><th class="sidebar-heading" style="background:#e9e9ff;font-weight:normal;font-style:italic;"> General Theory</th></tr><tr><td class="sidebar-content hlist" style="padding-left:0.5em;padding-right:0.5em;"> <ul><li><a href="/wiki/Effect_of_taxes_and_subsidies_on_price" title="Effect of taxes and subsidies on price">Price effect</a></li> <li><a href="/wiki/Excess_burden_of_taxation" title="Excess burden of taxation">Excess burden</a></li> <li><a href="/wiki/Tax_incidence" title="Tax incidence">Tax incidence</a></li> <li><a href="/wiki/Laffer_curve" title="Laffer curve">Laffer curve</a></li> <li><a href="/wiki/Optimal_tax" title="Optimal tax">Optimal tax</a></li> <li><a href="/wiki/Theories_of_taxation" title="Theories of taxation">Theories</a></li> <li><a class="mw-selflink selflink">Optimal capital income taxation</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#e9e9ff;font-weight:normal;font-style:italic;"> Distribution of Tax</th></tr><tr><td class="sidebar-content hlist" style="padding-top:0.15em;"> <ul><li><a href="/wiki/Tax_rate" title="Tax rate">Tax rate</a></li> <li><a href="/wiki/Flat_tax" title="Flat tax">Flat</a></li> <li><a href="/wiki/Progressive_tax" title="Progressive tax">Progressive</a></li> <li><a href="/wiki/Regressive_tax" title="Regressive tax">Regressive</a></li> <li><a href="/wiki/Proportional_tax" title="Proportional tax">Proportional</a></li></ul></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background-color: #efefef;;color: var(--color-base)"><a href="/wiki/Tax_collection" class="mw-redirect" title="Tax collection">Collection</a></div><div class="sidebar-list-content mw-collapsible-content" style="background-color: #ffffff;"> <ul><li><a href="/wiki/Revenue_service" title="Revenue service">Revenue service</a></li> <li><a href="/wiki/Revenue_stamp" title="Revenue stamp">Revenue stamp</a></li> <li><a href="/wiki/Tax_assessment" title="Tax assessment">Tax assessment</a></li> <li><a href="/wiki/Taxable_income" title="Taxable income">Taxable income</a></li> <li><a href="/wiki/Tax_lien" title="Tax lien">Tax lien</a></li> <li><a href="/wiki/Tax_refund" title="Tax refund">Tax refund</a></li> <li><a href="/wiki/Tax_shield" title="Tax shield">Tax shield</a></li> <li><a href="/wiki/Tax_residence" title="Tax residence">Tax residence</a></li> <li><a href="/wiki/Tax_preparation" class="mw-redirect" title="Tax preparation">Tax preparation</a></li> <li><a href="/wiki/Tax_investigation" title="Tax investigation">Tax investigation</a></li> <li><a href="/wiki/Tax_shelter" title="Tax shelter">Tax shelter</a></li> <li><a href="/wiki/Tax_collector" title="Tax collector">Tax collector</a></li> <li><a href="/wiki/Privatized_tax_collection" title="Privatized tax collection">Private tax collection</a></li> <li><a href="/wiki/Farm_(revenue_leasing)" title="Farm (revenue leasing)">Tax farming</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background-color: #efefef;;color: var(--color-base)"><a href="/wiki/Tax_noncompliance" title="Tax noncompliance">Noncompliance</a></div><div class="sidebar-list-content mw-collapsible-content" style="background-color: #ffffff;"><table class="sidebar nomobile nowraplinks" style="background-color: transparent; color: var( --color-base ); border-collapse:collapse; border-spacing:0px; border:none; width:100%; margin:0px; font-size:100%; clear:none; float:none"><tbody><tr><th class="sidebar-heading" style="background:#e9e9ff;font-weight:normal;font-style:italic;"> General</th></tr><tr><td class="sidebar-content hlist" style="padding-left:0.5em;padding-right:0.5em;"> <ul><li><a href="/wiki/Tax_avoidance" title="Tax avoidance">Tax avoidance</a> <ul><li><a href="/wiki/Repatriation_tax_avoidance" title="Repatriation tax avoidance">Repatriation tax avoidance</a></li></ul></li> <li><a href="/wiki/Tax_evasion" title="Tax evasion">Tax evasion</a></li> <li><a href="/wiki/Tax_resistance" title="Tax resistance">Tax resistance</a></li> <li><a href="/wiki/Tax_shelter" title="Tax shelter">Tax shelter</a></li> <li><a href="/wiki/Debtors%27_prison" title="Debtors' prison">Debtors' prison</a></li> <li><a href="/wiki/Smuggling" title="Smuggling">Smuggling</a></li> <li><a href="/wiki/Black_market" title="Black market">Black market</a></li> <li><a href="/wiki/Unreported_employment" title="Unreported employment">Unreported employment</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#e9e9ff;font-weight:normal;font-style:italic;"> Corporate</th></tr><tr><td class="sidebar-content hlist" style="padding-top:0.15em;"> <ul><li><a href="/wiki/Tax_inversion" title="Tax inversion">Tax inversion</a></li> <li><a href="/wiki/Transfer_mispricing" title="Transfer mispricing">Transfer mispricing</a></li> <li><a href="/wiki/Base_erosion_and_profit_shifting" title="Base erosion and profit shifting">Base erosion and profit shifting</a> (BEPS)</li> <li><a href="/wiki/Double_Irish_arrangement" title="Double Irish arrangement">Double Irish</a></li> <li><a href="/wiki/Dutch_Sandwich" title="Dutch Sandwich">Dutch Sandwich</a></li> <li><a href="/wiki/Double_Irish_arrangement#Replacement_by_single_malt" title="Double Irish arrangement">Single Malt</a></li> <li><a href="/wiki/Double_Irish_arrangement#Backstop_of_capital_allowances" title="Double Irish arrangement">CAIA</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#e9e9ff;font-weight:normal;font-style:italic;"> Locations</th></tr><tr><td class="sidebar-content hlist" style="padding-top:0.15em;"> <ul><li><a href="/wiki/Tax_haven" title="Tax haven">Tax havens</a></li> <li><a href="/wiki/Corporate_haven" title="Corporate haven">Corporate havens</a></li> <li><a href="/wiki/Offshore_financial_centre" title="Offshore financial centre">Offshore financial centres</a> (OFCs)</li> <li><a href="/wiki/Offshore_magic_circle" title="Offshore magic circle">Offshore magic circle</a></li> <li><a href="/wiki/Conduit_and_sink_OFCs" title="Conduit and sink OFCs">Conduit and sink OFCs</a></li> <li><a href="/wiki/Financial_centre" title="Financial centre">Financial centres</a></li> <li><a href="/wiki/Financial_Secrecy_Index" title="Financial Secrecy Index">Financial Secrecy Index</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#e9e9ff;font-weight:normal;font-style:italic;"> Major examples</th></tr><tr><td class="sidebar-content hlist" style="padding-top:0.15em;"> <ul><li><a href="/wiki/Ireland_as_a_tax_haven" title="Ireland as a tax haven">Ireland as a tax haven</a> <ul><li><i><a href="/wiki/Apple%27s_EU_tax_dispute" title="Apple's EU tax dispute">Ireland v. Commission</a></i></li> <li><a href="/wiki/Leprechaun_economics" title="Leprechaun economics">Leprechaun economics</a></li></ul></li> <li><a href="/wiki/2008_Liechtenstein_tax_affair" title="2008 Liechtenstein tax affair">Liechtenstein tax affair</a></li> <li><a href="/wiki/LuxLeaks" title="LuxLeaks">Luxembourg Leaks</a></li> <li><a href="/wiki/Offshore_Leaks" title="Offshore Leaks">Offshore Leaks</a></li> <li><a href="/wiki/Paradise_Papers" title="Paradise Papers">Paradise Papers</a></li> <li><a href="/wiki/Panama_Papers" title="Panama Papers">Panama Papers</a></li> <li><a href="/wiki/Swiss_Leaks" title="Swiss Leaks">Swiss Leaks</a></li> <li><a href="/wiki/United_States_as_a_tax_haven" title="United States as a tax haven">United States as a tax haven</a></li> <li><a href="/wiki/Panama_as_a_tax_haven" title="Panama as a tax haven">Panama as a tax haven</a></li></ul></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background-color: #efefef;;color: var(--color-base)"><a href="/wiki/List_of_taxes" title="List of taxes">Types</a></div><div class="sidebar-list-content mw-collapsible-content" style="background-color: #ffffff;"> <ul><li><a href="/wiki/Direct_tax" title="Direct tax">Direct</a></li> <li><a href="/wiki/Indirect_tax" title="Indirect tax">Indirect</a></li> <li><a href="/wiki/Per_unit_tax" title="Per unit tax">Per unit</a></li> <li><a href="/wiki/Ad_valorem_tax" title="Ad valorem tax">Ad valorem</a></li> <li><a href="/wiki/Aviation_taxation_and_subsidies" title="Aviation taxation and subsidies">Aviation</a> <ul><li><a href="/wiki/Airport_improvement_fee" title="Airport improvement fee">Airport improvement</a></li> <li><a href="/wiki/Landing_fee" title="Landing fee">Landing</a></li> <li><a href="/wiki/Solidarity_tax_on_airplane_tickets" title="Solidarity tax on airplane tickets">Solidarity</a></li></ul></li> <li><a href="/wiki/Capital_gains_tax" title="Capital gains tax">Capital gains</a> <ul><li><a href="/wiki/Expatriation_tax" title="Expatriation tax">Expatriation</a></li></ul></li> <li><a href="/wiki/Consumption_tax" title="Consumption tax">Consumption</a> <ul><li><a href="/wiki/Departure_tax" title="Departure tax">Departure</a></li> <li><a href="/wiki/Hotel_tax" class="mw-redirect" title="Hotel tax">Hotel</a></li> <li><a href="/wiki/Sales_tax" title="Sales tax">Sales</a></li> <li><a href="/wiki/Stamp_duty" title="Stamp duty">Stamp</a></li> <li><a href="/wiki/Television_licence" title="Television licence">Television</a></li> <li><a href="/wiki/Tourist_tax" title="Tourist tax">Tourist</a></li> <li><a href="/wiki/Value-added_tax" title="Value-added tax">Value-added</a></li></ul></li> <li><a href="/wiki/Dividend_tax" title="Dividend tax">Dividend</a></li> <li><a href="/wiki/Environmental_tax" title="Environmental tax">Environmental tax</a> <ul><li><a href="/wiki/Carbon_tax" title="Carbon tax">Carbon</a></li> <li><a href="/wiki/Eco-tariff" title="Eco-tariff">Eco-tariff</a></li> <li><a href="/wiki/Landfill_tax" title="Landfill tax">Landfill</a></li> <li><a href="/wiki/Natural_resources_consumption_tax" title="Natural resources consumption tax">Natural resources consumption</a></li> <li><a href="/wiki/Severance_tax" title="Severance tax">Severance</a></li> <li><a href="/wiki/Steering_tax" title="Steering tax">Steering</a></li> <li><a href="/wiki/Stumpage" title="Stumpage">Stumpage</a></li></ul></li> <li><a href="/wiki/Excise" title="Excise">Excise</a> <ul><li><a href="/wiki/Alcohol_law" title="Alcohol law">Alcohol</a></li> <li><a href="/wiki/Cigarette_taxes_in_the_United_States" title="Cigarette taxes in the United States">Cigarette</a></li> <li><a href="/wiki/Fat_tax" title="Fat tax">Fat</a></li> <li><a href="/wiki/Meat_tax" title="Meat tax">Meat</a></li> <li><a href="/wiki/Sin_tax" title="Sin tax">Sin</a></li> <li><a href="/wiki/Sugary_drink_tax" title="Sugary drink tax">Sugary drink</a></li> <li><a href="/wiki/Tobacco_smoking" title="Tobacco smoking">Tobacco</a></li></ul></li> <li><a href="/wiki/Consolidated_Fund" title="Consolidated Fund">General</a></li> <li><a href="/wiki/Georgism" title="Georgism">Georgist</a></li> <li><a href="/wiki/Gift_tax" title="Gift tax">Gift</a></li> <li><a href="/wiki/Gross_receipts_tax" title="Gross receipts tax">Gross receipts</a></li> <li><a href="/wiki/Hypothecated_tax" title="Hypothecated tax">Hypothecated</a></li> <li><a href="/wiki/Income_tax" title="Income tax">Income</a></li> <li><a href="/wiki/Inheritance_tax" title="Inheritance tax">Inheritance (estate)</a></li> <li><a href="/wiki/Land_value_tax" title="Land value tax">Land value</a></li> <li><a href="/wiki/Luxury_tax" title="Luxury tax">Luxury</a></li> <li><a href="/wiki/Payroll_tax" title="Payroll tax">Payroll</a></li> <li><a href="/wiki/Pigouvian_tax" title="Pigouvian tax">Pigouvian</a></li> <li><a href="/wiki/Property_tax" title="Property tax">Property</a></li> <li><a href="/wiki/Resource_rent_tax" title="Resource rent tax">Resource rent</a></li> <li><a href="/wiki/Single_tax" title="Single tax">Single</a></li> <li><a href="/wiki/Surtax" title="Surtax">Surtax</a></li> <li><a href="/wiki/Turnover_tax" title="Turnover tax">Turnover</a></li> <li><a href="/wiki/Use_tax" title="Use tax">Use</a></li> <li><a href="/wiki/User_charge" title="User charge">User charge</a>/<a href="/wiki/User_fee" title="User fee">fee</a> <ul><li><a href="/wiki/Congestion_pricing" title="Congestion pricing">Congestion</a></li> <li><a href="/wiki/Fuel_tax" title="Fuel tax">Fuel</a></li> <li><a href="/wiki/Road_pricing" title="Road pricing">Road</a>/<a href="/wiki/GNSS_road_pricing" title="GNSS road pricing">GNSS</a></li> <li><a href="/wiki/Toll_(fee)" title="Toll (fee)">Toll</a></li> <li><a href="/wiki/Vehicle_miles_traveled_tax" title="Vehicle miles traveled tax">Vehicle miles traveled</a></li></ul></li> <li><a href="/wiki/Corporate_tax" title="Corporate tax">Corporate profit</a></li> <li><a href="/wiki/Excess_profits_tax" title="Excess profits tax">Excess profits</a></li> <li><a href="/wiki/Windfall_tax" title="Windfall tax">Windfall</a></li> <li><a href="/wiki/Negative_income_tax" title="Negative income tax">Negative (income)</a></li> <li><a href="/wiki/Wealth_tax" title="Wealth tax">Wealth</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background-color: #efefef;;color: var(--color-base)"><a href="/wiki/International_taxation" title="International taxation">International</a></div><div class="sidebar-list-content mw-collapsible-content" style="background-color: #ffffff;"> <ul><li><a href="/wiki/Financial_transaction_tax" title="Financial transaction tax">Financial transaction tax</a></li> <li><a href="/wiki/Association_for_the_Taxation_of_Financial_Transactions_and_for_Citizens%27_Action" title="Association for the Taxation of Financial Transactions and for Citizens' Action">ATTAC</a></li> <li><a href="/wiki/Currency_transaction_tax" title="Currency transaction tax">Currency transaction tax</a></li> <li><a href="/wiki/Common_Consolidated_Corporate_Tax_Base" title="Common Consolidated Corporate Tax Base"><span class="wrap">European Union Common Consolidated Corporate Tax Base</span></a> (CCCTB)</li> <li><a href="/wiki/Global_minimum_corporate_tax_rate" title="Global minimum corporate tax rate">Global minimum corporate tax rate</a></li> <li><a href="/wiki/Robin_Hood_tax" title="Robin Hood tax">Robin Hood tax</a></li> <li><a href="/wiki/Tobin_tax" title="Tobin tax">Tobin tax</a></li> <li><a href="/wiki/Spahn_tax" title="Spahn tax">Spahn tax</a></li> <li><a href="/wiki/Tax_equalization" title="Tax equalization">Tax equalization</a></li> <li><a href="/wiki/Tax_treaty" title="Tax treaty">Tax treaty</a></li> <li><a href="/wiki/Exchange_of_Information" class="mw-redirect" title="Exchange of Information">Exchange of Information</a></li> <li><a href="/wiki/Permanent_establishment" title="Permanent establishment">Permanent establishment</a></li> <li><a href="/wiki/Transfer_pricing" title="Transfer pricing">Transfer pricing</a></li> <li><a href="/wiki/European_Union_financial_transaction_tax" title="European Union financial transaction tax">European Union FTT</a></li> <li><a href="/wiki/Rule_against_foreign_revenue_enforcement" title="Rule against foreign revenue enforcement">Foreign revenue rule</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background-color: #efefef;;color: var(--color-base)"><a href="/wiki/Trade" title="Trade">Trade</a></div><div class="sidebar-list-content mw-collapsible-content" style="background-color: #ffffff;"> <ul><li><a href="/wiki/Customs" title="Customs">Custom</a></li> <li><a href="/wiki/Duty_(economics)" class="mw-redirect" title="Duty (economics)">Duty</a></li> <li><a href="/wiki/Tariff" title="Tariff">Tariff</a> <ul><li><a href="/wiki/Import" title="Import">Import</a></li> <li><a href="/wiki/Export" title="Export">Export</a></li></ul></li> <li><a href="/wiki/Trade_war" title="Trade war">Tariff war</a></li> <li><a href="/wiki/Free_trade" title="Free trade">Free trade</a></li> <li><a href="/wiki/Free-trade_zone" title="Free-trade zone">Free-trade zone</a></li> <li><a href="/wiki/Trade_agreement" title="Trade agreement">Trade agreement</a></li> <li><a href="/wiki/ATA_Carnet" title="ATA Carnet">ATA Carnet</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background-color: #efefef;;color: var(--color-base)">Research</div><div class="sidebar-list-content mw-collapsible-content" style="background-color: #ffffff;"><table class="sidebar nomobile nowraplinks" style="background-color: transparent; color: var( --color-base ); border-collapse:collapse; border-spacing:0px; border:none; width:100%; margin:0px; font-size:100%; clear:none; float:none"><tbody><tr><th class="sidebar-heading" style="background:#e9e9ff;font-weight:normal;font-style:italic;"> Academic</th></tr><tr><td class="sidebar-content hlist" style="padding-left:0.5em;padding-right:0.5em;"> <ul><li><a href="/wiki/Mihir_A._Desai" title="Mihir A. Desai">Mihir A. Desai</a></li> <li><a href="/wiki/Dhammika_Dharmapala" title="Dhammika Dharmapala">Dhammika Dharmapala</a></li> <li><a href="/wiki/James_R._Hines_Jr." title="James R. Hines Jr.">James R. Hines Jr.</a></li> <li><a href="/wiki/Ronen_Palan" title="Ronen Palan">Ronen Palan</a></li> <li><a href="/wiki/Joel_Slemrod" title="Joel Slemrod">Joel Slemrod</a></li> <li><a href="/wiki/Gabriel_Zucman" title="Gabriel Zucman">Gabriel Zucman</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#e9e9ff;font-weight:normal;font-style:italic;"> Advocacy groups</th></tr><tr><td class="sidebar-content hlist" style="padding-top:0.15em;"> <ul><li><a href="/wiki/Institute_on_Taxation_and_Economic_Policy" title="Institute on Taxation and Economic Policy">Institute on Taxation and Economic Policy</a> (ITEP)</li> <li><a href="/wiki/Oxfam" title="Oxfam">Oxfam</a> (UK)</li> <li><a href="/wiki/Tax_Foundation" title="Tax Foundation">Tax Foundation</a> (US)</li> <li><a href="/wiki/Tax_Justice_Network" title="Tax Justice Network">Tax Justice Network</a> (TJN)</li> <li><a href="/wiki/Tax_Policy_Center" title="Tax Policy Center">Tax Policy Center</a> (US)</li></ul></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background-color: #efefef;;color: var(--color-base)"><a href="/wiki/Religion" title="Religion">Religious</a></div><div class="sidebar-list-content mw-collapsible-content" style="background-color: #ffffff;"> <ul><li><a href="/wiki/Church_tax" title="Church tax">Church tax</a></li> <li><a href="/wiki/Eight_per_thousand" title="Eight per thousand">Eight per thousand</a></li> <li><a href="/wiki/Teind" title="Teind">Teind</a></li> <li><a href="/wiki/Tithe" title="Tithe">Tithe</a></li> <li><a href="/wiki/Fiscus_Judaicus" title="Fiscus Judaicus">Fiscus Judaicus</a></li> <li><a href="/wiki/Leibzoll" title="Leibzoll">Leibzoll</a></li> <li><a href="/wiki/Temple_tax" title="Temple tax">Temple tax</a></li> <li><a href="/wiki/Tolerance_tax" title="Tolerance tax">Tolerance tax</a></li> <li><a href="/wiki/Jizya" title="Jizya">Jizya</a></li> <li><a href="/wiki/Kharaj" title="Kharaj">Kharaj</a></li> <li><a href="/wiki/Khums" title="Khums">Khums</a></li> <li><a href="/wiki/Nisab" title="Nisab">Nisab</a></li> <li><a href="/wiki/Zakat" title="Zakat">Zakat</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background-color: #efefef;;color: var(--color-base)"><a href="/wiki/Category:Taxation_by_country" title="Category:Taxation by country">By country</a></div><div class="sidebar-list-content mw-collapsible-content" style="background-color: #ffffff;"><table class="sidebar nomobile nowraplinks" style="background-color: transparent; color: var( --color-base ); border-collapse:collapse; border-spacing:0px; border:none; width:100%; margin:0px; font-size:100%; clear:none; float:none"><tbody><tr><th class="sidebar-heading" style="background:#e9e9ff;font-weight:normal;font-style:italic;"> All Countries</th></tr><tr><td class="sidebar-content hlist" style="padding-left:0.5em;padding-right:0.5em;"> <ul><li><a href="/wiki/List_of_countries_by_tax_rates" title="List of countries by tax rates">List of countries by tax rates</a></li> <li><a href="/wiki/List_of_countries_by_tax_revenue_to_GDP_ratio" class="mw-redirect" title="List of countries by tax revenue to GDP ratio">Tax revenue to GDP ratio</a></li> <li><a href="/wiki/Tax_rates_in_Europe" title="Tax rates in Europe">Tax rates in Europe</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#e9e9ff;font-weight:normal;font-style:italic;"> Individual Countries</th></tr><tr><td class="sidebar-content hlist" style="padding-top:0.15em;"> <ul><li><a href="/wiki/Taxation_in_Albania" title="Taxation in Albania">Albania</a></li> <li><a href="/wiki/Taxation_in_Algeria" title="Taxation in Algeria">Algeria</a></li> <li><a href="/wiki/Taxation_in_Argentina" title="Taxation in Argentina">Argentina</a></li> <li><a href="/wiki/Taxation_in_Armenia" title="Taxation in Armenia">Armenia</a></li> <li><a href="/wiki/Taxation_in_Australia" title="Taxation in Australia">Australia</a></li> <li><a href="/wiki/Taxation_in_Azerbaijan" title="Taxation in Azerbaijan">Azerbaijan</a></li> <li><a href="/wiki/Taxation_in_Bangladesh" title="Taxation in Bangladesh">Bangladesh</a></li> <li><a href="/wiki/Taxation_in_Bhutan" title="Taxation in Bhutan">Bhutan</a></li> <li><a href="/wiki/Taxation_in_Brazil" title="Taxation in Brazil">Brazil</a></li> <li><a href="/wiki/Taxation_in_Bulgaria" title="Taxation in Bulgaria">Bulgaria</a></li> <li><a href="/wiki/Taxation_in_the_British_Virgin_Islands" title="Taxation in the British Virgin Islands">BVI</a></li> <li><a href="/wiki/Taxation_in_Canada" title="Taxation in Canada">Canada</a></li> <li><a href="/wiki/Taxation_in_China" title="Taxation in China">China</a></li> <li><a href="/wiki/Taxation_in_Colombia" title="Taxation in Colombia">Colombia</a></li> <li><a href="/wiki/Taxation_in_Croatia" title="Taxation in Croatia">Croatia</a></li> <li><a href="/wiki/Taxation_in_Denmark" title="Taxation in Denmark">Denmark</a></li> <li><a href="/wiki/Taxation_in_Finland" title="Taxation in Finland">Finland</a></li> <li><a href="/wiki/Taxation_in_France" title="Taxation in France">France</a></li> <li><a href="/wiki/Taxation_in_Germany" title="Taxation in Germany">Germany</a></li> <li><a href="/wiki/Taxation_in_Greece" title="Taxation in Greece">Greece</a></li> <li><a href="/wiki/Taxation_in_Hong_Kong" title="Taxation in Hong Kong">Hong Kong</a></li> <li><a href="/wiki/Taxation_in_Iceland" title="Taxation in Iceland">Iceland</a></li> <li><a href="/wiki/Taxation_in_India" title="Taxation in India">India</a></li> <li><a href="/wiki/Taxation_in_Indonesia" title="Taxation in Indonesia">Indonesia</a></li> <li><a href="/wiki/Taxation_in_Iran" title="Taxation in Iran">Iran</a></li> <li><a href="/wiki/Taxation_in_the_Republic_of_Ireland" title="Taxation in the Republic of Ireland">Ireland</a></li> <li><a href="/wiki/Taxation_in_Israel" title="Taxation in Israel">Israel</a></li> <li><a href="/wiki/Taxation_in_Italy" title="Taxation in Italy">Italy</a></li> <li><a href="/wiki/Taxation_in_Japan" title="Taxation in Japan">Japan</a></li> <li><a href="/wiki/Taxation_in_Kazakhstan" title="Taxation in Kazakhstan">Kazakhstan</a></li> <li><a href="/wiki/Taxation_in_Lithuania" title="Taxation in Lithuania">Lithuania</a></li> <li><a href="/wiki/Taxation_in_Malta" title="Taxation in Malta">Malta</a></li> <li><a href="/wiki/Taxation_in_Morocco" title="Taxation in Morocco">Morocco</a></li> <li><a href="/wiki/Taxation_in_Namibia" title="Taxation in Namibia">Namibia</a></li> <li><a href="/wiki/Taxation_in_the_Netherlands" title="Taxation in the Netherlands">Netherlands</a></li> <li><a href="/wiki/Taxation_in_New_Zealand" title="Taxation in New Zealand">New Zealand</a></li> <li><a href="/wiki/Taxation_in_Norway" title="Taxation in Norway">Norway</a></li> <li><a href="/wiki/Taxation_in_Pakistan" title="Taxation in Pakistan">Pakistan</a></li> <li><a href="/wiki/Taxation_in_the_State_of_Palestine" title="Taxation in the State of Palestine">Palestine</a></li> <li><a href="/wiki/Taxation_in_Peru" title="Taxation in Peru">Peru</a></li> <li><a href="/wiki/Taxation_in_the_Philippines" title="Taxation in the Philippines">Philippines</a></li> <li><a href="/wiki/Taxation_in_Poland" title="Taxation in Poland">Poland</a></li> <li><a href="/wiki/Taxation_in_Portugal" title="Taxation in Portugal">Portugal</a></li> <li><a href="/wiki/Taxation_in_Russia" title="Taxation in Russia">Russia</a></li> <li><a href="/wiki/Taxation_in_South_Africa" title="Taxation in South Africa">South Africa</a></li> <li><a href="/wiki/Taxation_in_Sri_Lanka" title="Taxation in Sri Lanka">Sri Lanka</a></li> <li><a href="/wiki/Taxation_in_Sweden" title="Taxation in Sweden">Sweden</a></li> <li><a href="/wiki/Taxation_in_Switzerland" title="Taxation in Switzerland">Switzerland</a></li> <li><a href="/wiki/Taxation_in_Taiwan" title="Taxation in Taiwan">Taiwan</a></li> <li><a href="/wiki/Taxation_in_Tanzania" title="Taxation in Tanzania">Tanzania</a></li> <li><a href="/wiki/Taxation_in_the_United_Arab_Emirates" title="Taxation in the United Arab Emirates">United Arab Emirates</a></li> <li><a href="/wiki/Taxation_in_the_United_Kingdom" title="Taxation in the United Kingdom">United Kingdom</a></li> <li><a href="/wiki/Taxation_in_the_United_States" title="Taxation in the United States">United States</a></li> <li><a href="/wiki/Taxation_in_Uruguay" title="Taxation in Uruguay">Uruguay</a></li></ul></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-below" style="background-color: #efefef;"> <ul><li><span class="nowrap"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Emblem-money.svg" class="mw-file-description"><img alt="icon" 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abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Taxation" title="Template:Taxation"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Taxation" title="Template talk:Taxation"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Taxation" title="Special:EditPage/Template:Taxation"><abbr title="Edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table> <p><b>Optimal capital income taxation</b> is a subarea of <a href="/wiki/Optimal_tax" title="Optimal tax">optimal tax theory</a> which studies the design of <a href="/wiki/Capital_gains_tax" title="Capital gains tax">taxes on capital income</a> such that a given economic criterion like <a href="/wiki/Utility_(economics)" class="mw-redirect" title="Utility (economics)">utility</a> is optimized.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p>Some have theorized that the optimal capital income tax is zero. Starting from the conceptualization of capital income as future consumption, the taxation of capital income corresponds to a differentiated consumption tax on present and future consumption. Consequently, a capital income tax results in the <a href="/wiki/Distortion_(economics)" class="mw-redirect" title="Distortion (economics)">distortion</a> of individuals' saving and consumption behavior as individuals substitute the more heavily taxed future consumption with current consumption. Due to these distortions, zero taxation of capital income might be optimal,<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> a result postulated by the <a href="/wiki/Atkinson%E2%80%93Stiglitz_theorem" title="Atkinson–Stiglitz theorem">Atkinson–Stiglitz theorem</a> (1976) and the Chamley–Judd zero capital income tax result (1985/1986). </p><p>Subsequent work on optimal capital income taxation has elucidated the assumptions underlying the theoretical optimality of a zero capital income tax. Additionally, diverse arguments for a positive optimal capital income tax have been advanced. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Zero_optimal_capital_income_taxation">Zero optimal capital income taxation</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimal_capital_income_taxation&action=edit&section=1" title="Edit section: Zero optimal capital income taxation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The assertion that a zero capital income taxes may be optimal is based on two individual economic intuitions: (1) the <a href="/wiki/Atkinson%E2%80%93Stiglitz_theorem" title="Atkinson–Stiglitz theorem">Atkinson–Stiglitz theorem</a> and (2) the result derived by Chamley (1986) and Judd (1985) based on a dynamic <a href="/wiki/Ramsey_model" class="mw-redirect" title="Ramsey model">Ramsey model</a>. While <a href="/wiki/Greg_Mankiw" title="Greg Mankiw">Mankiw</a>, Weinzierl and Yagan (2009) invoke the <a href="/wiki/Diamond%E2%80%93Mirrlees_efficiency_theorem" class="mw-redirect" title="Diamond–Mirrlees efficiency theorem">Diamond–Mirrlees production efficiency theorem</a> (DMPET) as third intuition for no capital income taxation,<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> their arguments are disputed by Diamond and Saez (2011).<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Atkinson–Stiglitz_theorem_(1976)"><span id="Atkinson.E2.80.93Stiglitz_theorem_.281976.29"></span>Atkinson–Stiglitz theorem (1976)</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimal_capital_income_taxation&action=edit&section=2" title="Edit section: Atkinson–Stiglitz theorem (1976)"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The Atkinson–Stiglitz theorem states that if non-linear taxes on earnings are available as policy tool, differential taxation of first- and second period consumption is not optimal if all consumers have preferences weakly separable between consumption and labor.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> Furthermore, consumers need to have homogeneous subutility functions of consumption.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> When applied to capital income taxation, the Atkinson–Stiglitz theorem argues that since present and future consumption are equally complementary to leisure due to weakly separable preferences (and hence there is no <a href="/wiki/Corlett%E2%80%93Hague_rule" title="Corlett–Hague rule">Corlett–Hague motive</a> for capital income taxation), capital income taxes do not alleviate the tax distortions caused by labor income taxation while additionally distorting capital income. Thus, capital income taxation, i.e. differentiated consumption taxation, is more costly (and therefore less optimal) than pure non-linear labor income taxation. </p> <div class="mw-heading mw-heading3"><h3 id="The_Chamley–Judd_zero_capital_income_tax_result"><span id="The_Chamley.E2.80.93Judd_zero_capital_income_tax_result"></span>The Chamley–Judd zero capital income tax result</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimal_capital_income_taxation&action=edit&section=3" title="Edit section: The Chamley–Judd zero capital income tax result"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The Chamley–Judd zero capital income tax result—developed in Chamley (1986) and Judd (1985)—states that in a dynamic Ramsey model featuring agents with infinite lives, an asymptotically zero tax on capital income is optimal.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> The result is based upon the intuition that the growth of the tax wedge between current and future consumption is related to the growth of the time horizon. So as to avoid unlimited growth in tax compounding as the horizon extends, the optimal average capital tax rate approximates zero. The result can also be interpreted in Corlett–Hague terms: As the horizon grows to infinity, both present and future consumption become equally complementary to leisure as their elasticities become constant; since, according to the <a href="/wiki/Corlett%E2%80%93Hague_rule" title="Corlett–Hague rule">Corlett–Hague rule</a> the taxation of commodities should depend on their complementarity to leisure, present and future consumption should be taxed at equal tax rates. Although Chamley (1986) and Judd (1985) rely on steady-state properties of constant consumption and labor and, consequently, also a constant elasticity of consumption in order to argue that current and future consumption are equally complementary to leisure, Judd (1999) shows that a steady state is a sufficient but not a necessary condition for the zero capital income tax result.<sup id="cite_ref-Judd_1999_9-0" class="reference"><a href="#cite_note-Judd_1999-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> </p><p>The Chamley–Judd model can also be invoked when arguing that the taxation of existing wealth is superior to the taxation of future capital income due to the tax on current wealth being lump-sum as opposed to the tax on future capital income distorting intertemporal decisions. This argumentation can be found in the composition of taxation in overlapping generation models, e.g. Auerbach, Kotlikoff and Skinner (1983).<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </p><p>While criticisms of the Chamley–Judd model vary, a central theme attacks its critical assumption regarding infinite lives, which can also be interpreted as dynastic linkages.<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> This assumption has been notably challenged both by general criticism leveled by <a href="/wiki/Behavioral_economics" title="Behavioral economics">behavioral economics</a> against the standard model of intertemporal decision-making used in the Chamley–Judd model and by empirical analyses of bequests, which do not support the rigorous dynasty model required by the Chamley–Judd model.<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </p><p>A 2020 study in the <i>American Economic Review</i> found the Chamley-Judd model's conclusion that capital should not be taxed in the long run "does not follow from the very models used to derive it."<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Non-zero_optimal_capital_income_taxation">Non-zero optimal capital income taxation</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimal_capital_income_taxation&action=edit&section=4" title="Edit section: Non-zero optimal capital income taxation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A number of arguments relating to concerns for efficiency and equity may be found in the literature supporting the taxation of capital income, including (1) Corlett-Hague motives, (2) increases in consumption inequality over the life cycle, (3) heterogeneous preferences, (4) correlation between returns on savings and ability, (5) incomplete or imperfect insurance markets, (6) borrowing or liquidity constraints, (7) <a href="/wiki/Human_capital" title="Human capital">human capital</a> distortions, (8) economic rents, and (9) avoidance of arbitrage between capital income and labor income taxation. </p> <div class="mw-heading mw-heading3"><h3 id="Avoidance_of_tax_arbitrage_between_capital_and_labor_incomes">Avoidance of tax arbitrage between capital and labor incomes</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimal_capital_income_taxation&action=edit&section=5" title="Edit section: Avoidance of tax arbitrage between capital and labor incomes"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>For a government, distinguishing between capital and labor incomes can be difficult. This shortcoming becomes critical when individuals shift from labor income to capital income so as to take advantage of tax differentials, as evidenced in <a href="/wiki/Finland" title="Finland">Finland</a> by Pirttilä and Selin (2011) and in the <a href="/wiki/United_States" title="United States">United States</a> by Gordon and MacKie-Mason (1995) and more recently Gordon and Slemrod (2000).<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> The difficulty in distinguishing labor and capital income might be the most important reason for governments' reluctance to engage in the full tax exemption of capital income. Specifically, Christiansen and Tuomala (2008) find a positive optimal tax on capital income due to the presence of the ability to shift income, while Reis (2007) demonstrates that the Chamley–Judd result does not hold when tax authority cannot effectively distinguish entrepreneurial labor income and capital income.<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Borrowing/liquidity_constraints"><span id="Borrowing.2Fliquidity_constraints"></span>Borrowing/liquidity constraints</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimal_capital_income_taxation&action=edit&section=6" title="Edit section: Borrowing/liquidity constraints"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Both the <a href="/wiki/Atkinson%E2%80%93Stiglitz_theorem" title="Atkinson–Stiglitz theorem">Atkinson–Stiglitz theorem</a> and the Ramsay model used to derive the Chamley–Judd zero capital income tax result assume perfect capital markets. In practice, however, individuals are often borrowing-constrained, i.e. they cannot save. By taxing capital income and transferring it to the borrowing-constrained individuals, the capital <a href="/wiki/Market_failure" title="Market failure">market imperfection</a>—the liquidity constraints—is alleviated at the cost of distorting saving. Equivalently, taxing saving may reduce the implicit subsidy on saving created by the borrowing constraints and thus restore efficiency in saving. Furthermore, <a href="/wiki/Aiyagari_model" class="mw-redirect" title="Aiyagari model">Aiyagari</a> (1995) and Chamley (2001) show that capital income taxation is desirable when consumption is positively correlated with savings in a model featuring borrowing-constrained agents with infinite lives and uncertainty. </p> <div class="mw-heading mw-heading3"><h3 id="Correlation_between_return_on_savings_and_ability">Correlation between return on savings and ability</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimal_capital_income_taxation&action=edit&section=7" title="Edit section: Correlation between return on savings and ability"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>According to the <a href="/wiki/Second_welfare_theorem" class="mw-redirect" title="Second welfare theorem">second theorem of welfare economics</a> any <a href="/wiki/Pareto_efficiency" title="Pareto efficiency">Pareto-efficient</a> allocation can be achieved through the appropriate redistribution of endowments, which in the context of optimal taxation refers to the taxation of individuals' earnings ability. If - unlike the assumption in the model - the returns on saving are not equal for everyone, but are positively correlated with ability instead, capital income contains new information about an individual's ability and should be taxed for redistributive reasons. </p> <div class="mw-heading mw-heading3"><h3 id="Human_capital_formation">Human capital formation</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimal_capital_income_taxation&action=edit&section=8" title="Edit section: Human capital formation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>As demonstrated by Judd (1999), a zero capital income tax is no longer neutral regarding human capital investments if these partially consist of costs which cannot be deducted against the tax rate of future returns on saving.<sup id="cite_ref-Judd_1999_9-1" class="reference"><a href="#cite_note-Judd_1999-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> Then, the reduction of labor income tax distortions on investments in human capital provides a motive for capital income taxation being optimal. By increasing the relative price of future consumption and causing the substitution of financial for human savings, capital taxes act as an implicit subsidy for human capital investments at the cost of creating a distortion in financial serving.<sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Heterogeneous_preferences">Heterogeneous preferences</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimal_capital_income_taxation&action=edit&section=9" title="Edit section: Heterogeneous preferences"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The zero optimal capital tax relies on the assumption of preference homogeneity. Both Mirrlees (1976) and Saez (2002) argue that high-ability might have higher saving rates due to different preferences.<sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-22" class="reference"><a href="#cite_note-22"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup> If this is the case, then capital income taxation is optimal for income redistribution as the individual savings level reveals information about individuals' ability, thereby facilitating the redistribution of income from high-ability to low-ability individuals. This argument is empirically borne out by research on the correlation between individuals' willingness and earnings ability.<sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Investment_credits">Investment credits</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimal_capital_income_taxation&action=edit&section=10" title="Edit section: Investment credits"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>As argued by Abel, if investment is fully deductible, the capital tax has no adverse impact on investment and is non-distorting, and under restrictive assumptions all tax should fall on capital, and none on labor.<sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> Given that capital income is concentrated among high income earners, if the social welfare function is inequality averse, then the optimal capital tax may be arbitrarily close to 100%, as increases to the capital tax rate lowers inequality but imposes no deadweight loss; this is in contrast to the standard assumption in optimal labor tax research in which inequality can be reduced by increased progression of the tax system, but at the cost of imposing a deadweight loss via a distorting reduction in labor supply - thus for any given level of post tax and transfer income inequality, reducing the progression of the labor tax system and increasing the capital tax rate in the context of instant depreciation can lead to welfare gains. However if there are relative income effects or if the degree of inequality aversion if sufficiently high, the optimal marginal labor tax will still be positive. </p> <div class="mw-heading mw-heading2"><h2 id="The_relationship_with_Mirrlees_Review">The relationship with Mirrlees Review</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimal_capital_income_taxation&action=edit&section=11" title="Edit section: The relationship with Mirrlees Review"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Apps, Patricia F. and Rees, Ray (2012) argues against the direction of tax reform recommended by the <a href="/wiki/Mirrlees_Review" title="Mirrlees Review">Mirrlees Review</a>, saying that the appropriate direction for tax reform is towards more <a href="/wiki/Progressive_tax" title="Progressive tax">progressive taxation</a> of both labour earnings and capital income, although not necessarily under the same rate scale.<sup id="cite_ref-25" class="reference"><a href="#cite_note-25"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimal_capital_income_taxation&action=edit&section=12" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Optimal_labor_income_taxation" title="Optimal labor income taxation">Optimal labor income taxation</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Optimal_capital_income_taxation&action=edit&section=13" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFSlemrod1990" class="citation journal cs1">Slemrod, J. 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