{"attempt":1,"datasets":{"pof_expenditure":{"description_shown":"toy POF table pof_expenditure","file_sha256":null,"frame_sha256":null,"role":"agent","transforms":[]},"pof_products":{"description_shown":"toy POF table pof_products","file_sha256":null,"frame_sha256":null,"role":"agent","transforms":[]},"pof_units":{"description_shown":"toy POF table pof_units","file_sha256":null,"frame_sha256":null,"role":"agent","transforms":[]}},"epoch":1,"event":"sample_init","question":"","question_sha256":"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855","run_id":"20261015T171300Z-suite-closed_form-scripted-9fb914","seq":0,"skills":[],"task_id":"closed_form.indirect_incidence.deciles","task_sha256":"8e8d453bf411a64a2586e3b3aeacead6bcbf086acd20c94df5ef2b2d42fbea13","timestamp":"2026-10-15T17:13:00.415516Z"}
{"arguments":{"basis":"all_acquisitions","groups":10,"income":"total","rate_basis":"inclusive","rates":"indirect_rates_2017","tables":{"expenditure":"pof_expenditure","products":"pof_products","units":"pof_units"}},"attempt":1,"cached":false,"call_id":"call_6851442e","card_version":"0.1.0","code_version":"2925aeab2262","dataset_digests":{"pof_expenditure":"0cdffe4eb8504eaca723b1deb3ae898bf40b072b8cc007342bde39ff3fb8f2ac","pof_products":"2423534eb96e3719c04e2e5823c5593fb4d33789e5192b3ca4b4cb2cef59caa1","pof_units":"0ba5eba56f744c34bf907320724168af4e5dfa128878ee64d79f6a376ab56f07"},"decided_by":"code","duration_ms":37.913208128884435,"epoch":1,"error":null,"event":"tool","informed_by":[],"input_digest":"a3c07508b9957333b5eef450cf0c42fb2f0940d3cc10f14a06bde4905593da99","llm_name":null,"output_digest":"ea32cb811a866c76b3330e313deb00027d69ebe4162dbcd3eebd1e56225a4ed5","rationale":"","replay_class":"replayed","result":{"assumptions":["full shifting to consumer prices; a group's burden is its average, not the spread within it","people ranked by total household income per member into 10 groups of equal population"],"call_id":"call_6851442e","datasets":{},"diagnostics":[{"flag":false,"name":"source","note":"","value":"POF tables given as datasets 'pof_expenditure', 'pof_units' and 'pof_products'"},{"flag":false,"name":"rates","note":"Silveira, Palomo, Cornelio & Tonon (2022), Tributa\u00e7\u00e3o indireta: al\u00edquotas efetivas e incid\u00eancia sobre as fam\u00edlias, IPEA Texto para Discuss\u00e3o 2823, Tabela 1 (product level) and Gr\u00e1fico 4 (POF expenditure category)","value":"indirect_rates_2017@2026-09-17"},{"flag":false,"name":"rate_basis","note":"tax over tax-inclusive spending","value":"inclusive"},{"flag":false,"name":"basis","note":"the consumption taxed: every acquisition","value":"all_acquisitions"},{"flag":false,"name":"consumption_units","note":"POF consumption units read","value":10},{"flag":false,"name":"persons","note":"persons represented (weight \u00d7 members)","value":10000.0},{"flag":false,"name":"groups_cover_consumption","note":"largest relative gap between the spending the 13 groups classify and the group's consumption: zero when the shares and the ratio describe the same spending","value":0.0}],"figures":[{"ci_high":null,"ci_level":null,"ci_low":null,"derivation":{"note_pt":"","steps":[{"formula":"\u03c4 = s_food_at_home \u00d7 \u03c4_food_at_home + s_food_away \u00d7 \u03c4_food_away + s_housing \u00d7 \u03c4_housing + s_utilities \u00d7 \u03c4_utilities + s_transport_fuel \u00d7 \u03c4_transport_fuel + s_transport_other \u00d7 \u03c4_transport_other + s_telecom \u00d7 \u03c4_telecom + s_clothing \u00d7 \u03c4_clothing + s_health \u00d7 \u03c4_health + s_education \u00d7 \u03c4_education + s_personal_care \u00d7 \u03c4_personal_care + s_durables \u00d7 \u03c4_durables + s_other \u00d7 \u03c4_other","result":0.1385336565096953,"terms":[{"note":"parcela do consumo em food_at_home","symbol":"s_food_at_home","unit":"parcela","value":0.44321329639889195},{"note":"parcela do consumo em food_away","symbol":"s_food_away","unit":"parcela","value":0.02077562326869806},{"note":"parcela do consumo em housing","symbol":"s_housing","unit":"parcela","value":0.3462603878116344},{"note":"parcela do consumo em utilities","symbol":"s_utilities","unit":"parcela","value":0.12742382271468145},{"note":"parcela do consumo em transport_fuel","symbol":"s_transport_fuel","unit":"parcela","value":0.03462603878116344},{"note":"parcela do consumo em transport_other","symbol":"s_transport_other","unit":"parcela","value":0.0},{"note":"parcela do consumo em telecom","symbol":"s_telecom","unit":"parcela","value":0.0},{"note":"parcela do consumo em clothing","symbol":"s_clothing","unit":"parcela","value":0.0},{"note":"parcela do consumo em health","symbol":"s_health","unit":"parcela","value":0.0},{"note":"parcela do consumo em education","symbol":"s_education","unit":"parcela","value":0.0},{"note":"parcela do consumo em personal_care","symbol":"s_personal_care","unit":"parcela","value":0.0},{"note":"parcela do consumo em durables","symbol":"s_durables","unit":"parcela","value":0.0},{"note":"parcela do consumo em other","symbol":"s_other","unit":"parcela","value":0.027700831024930747},{"note":"imposto por real gasto em food_at_home","symbol":"\u03c4_food_at_home","unit":"R$ por R$","value":0.15},{"note":"imposto por real gasto em food_away","symbol":"\u03c4_food_away","unit":"R$ por R$","value":0.1617},{"note":"imposto por real gasto em housing","symbol":"\u03c4_housing","unit":"R$ por R$","value":0.030699999999999998},{"note":"imposto por real gasto em utilities","symbol":"\u03c4_utilities","unit":"R$ por R$","value":0.3299},{"note":"imposto por real gasto em transport_fuel","symbol":"\u03c4_transport_fuel","unit":"R$ por R$","value":0.33640000000000003},{"note":"imposto por real gasto em transport_other","symbol":"\u03c4_transport_other","unit":"R$ por R$","value":0.16519999999999999},{"note":"imposto por real gasto em telecom","symbol":"\u03c4_telecom","unit":"R$ por R$","value":0.2987},{"note":"imposto por real gasto em clothing","symbol":"\u03c4_clothing","unit":"R$ por R$","value":0.204},{"note":"imposto por real gasto em health","symbol":"\u03c4_health","unit":"R$ por R$","value":0.154},{"note":"imposto por real gasto em education","symbol":"\u03c4_education","unit":"R$ por R$","value":0.078},{"note":"imposto por real gasto em personal_care","symbol":"\u03c4_personal_care","unit":"R$ por R$","value":0.259},{"note":"imposto por real gasto em durables","symbol":"\u03c4_durables","unit":"R$ por R$","value":0.2571},{"note":"imposto por real gasto em other","symbol":"\u03c4_other","unit":"R$ por R$","value":0.158}],"text_pt":"Imposto por real consumido no decile 1: a parcela do consumo gasta em cada grupo de consumo vezes o imposto por real gasto nesse grupo, somadas.","unit":"R$ por R$"},{"formula":"r = C / Y","result":0.722,"terms":[{"note":"consumo ponderado","symbol":"C","unit":"R$/m\u00eas","value":722000.0},{"note":"renda total ponderada","symbol":"Y","unit":"R$/m\u00eas","value":1000000.0}],"text_pt":"Consumo sobre renda total do decile 1, somas ponderadas por m\u00eas.","unit":"raz\u00e3o"},{"formula":"carga = 100 \u00d7 r \u00d7 \u03c4","result":10.002130000000001,"terms":[],"text_pt":"A carga \u00e9 o imposto por real consumido vezes o consumo por real de renda, em % da renda.","unit":"% da renda"}]},"key":"burden.decile_1","label":"Indirect taxes as a share of total income, decile 1 (every acquisition)","se":null,"unit":"% of income","value":10.002130000000001},{"ci_high":null,"ci_level":null,"ci_low":null,"derivation":{"note_pt":"","steps":[{"formula":"\u03c4 = s_food_at_home \u00d7 \u03c4_food_at_home + s_food_away \u00d7 \u03c4_food_away + s_housing \u00d7 \u03c4_housing + s_utilities \u00d7 \u03c4_utilities + s_transport_fuel \u00d7 \u03c4_transport_fuel + s_transport_other \u00d7 \u03c4_transport_other + s_telecom \u00d7 \u03c4_telecom + s_clothing \u00d7 \u03c4_clothing + s_health \u00d7 \u03c4_health + s_education \u00d7 \u03c4_education + s_personal_care \u00d7 \u03c4_personal_care + s_durables \u00d7 \u03c4_durables + s_other \u00d7 \u03c4_other","result":0.13521879194630873,"terms":[{"note":"parcela do consumo em food_at_home","symbol":"s_food_at_home","unit":"parcela","value":0.38031319910514544},{"note":"parcela do consumo em food_away","symbol":"s_food_away","unit":"parcela","value":0.03355704697986577},{"note":"parcela do consumo em housing","symbol":"s_housing","unit":"parcela","value":0.39149888143176736},{"note":"parcela do consumo em utilities","symbol":"s_utilities","unit":"parcela","value":0.116331096196868},{"note":"parcela do consumo em transport_fuel","symbol":"s_transport_fuel","unit":"parcela","value":0.05592841163310962},{"note":"parcela do consumo em transport_other","symbol":"s_transport_other","unit":"parcela","value":0.0},{"note":"parcela do consumo em telecom","symbol":"s_telecom","unit":"parcela","value":0.0},{"note":"parcela do consumo em clothing","symbol":"s_clothing","unit":"parcela","value":0.0},{"note":"parcela do consumo em health","symbol":"s_health","unit":"parcela","value":0.0},{"note":"parcela do consumo em education","symbol":"s_education","unit":"parcela","value":0.0},{"note":"parcela do consumo em personal_care","symbol":"s_personal_care","unit":"parcela","value":0.0},{"note":"parcela do consumo em durables","symbol":"s_durables","unit":"parcela","value":0.0},{"note":"parcela do consumo em other","symbol":"s_other","unit":"parcela","value":0.02237136465324385},{"note":"imposto por real gasto em food_at_home","symbol":"\u03c4_food_at_home","unit":"R$ por R$","value":0.15},{"note":"imposto por real gasto em food_away","symbol":"\u03c4_food_away","unit":"R$ por R$","value":0.1617},{"note":"imposto por real gasto em housing","symbol":"\u03c4_housing","unit":"R$ por R$","value":0.030699999999999998},{"note":"imposto por real gasto em utilities","symbol":"\u03c4_utilities","unit":"R$ por R$","value":0.3299},{"note":"imposto por real gasto em transport_fuel","symbol":"\u03c4_transport_fuel","unit":"R$ por R$","value":0.33640000000000003},{"note":"imposto por real gasto em transport_other","symbol":"\u03c4_transport_other","unit":"R$ por R$","value":0.16519999999999999},{"note":"imposto por real gasto em telecom","symbol":"\u03c4_telecom","unit":"R$ por R$","value":0.2987},{"note":"imposto por real gasto em clothing","symbol":"\u03c4_clothing","unit":"R$ por R$","value":0.204},{"note":"imposto por real gasto em health","symbol":"\u03c4_health","unit":"R$ por R$","value":0.154},{"note":"imposto por real gasto em education","symbol":"\u03c4_education","unit":"R$ por R$","value":0.078},{"note":"imposto por real gasto em personal_care","symbol":"\u03c4_personal_care","unit":"R$ por R$","value":0.259},{"note":"imposto por real gasto em durables","symbol":"\u03c4_durables","unit":"R$ por R$","value":0.2571},{"note":"imposto por real gasto em other","symbol":"\u03c4_other","unit":"R$ por R$","value":0.158}],"text_pt":"Imposto por real consumido no decile 2: a parcela do consumo gasta em cada grupo de consumo vezes o imposto por real gasto nesse grupo, somadas.","unit":"R$ por R$"},{"formula":"r = C / Y","result":0.447,"terms":[{"note":"consumo ponderado","symbol":"C","unit":"R$/m\u00eas","value":894000.0},{"note":"renda total ponderada","symbol":"Y","unit":"R$/m\u00eas","value":2000000.0}],"text_pt":"Consumo sobre renda total do decile 2, somas ponderadas por m\u00eas.","unit":"raz\u00e3o"},{"formula":"carga = 100 \u00d7 r \u00d7 \u03c4","result":6.0442800000000005,"terms":[],"text_pt":"A carga \u00e9 o imposto por real consumido vezes o consumo por real de renda, em % da renda.","unit":"% da renda"}]},"key":"burden.decile_2","label":"Indirect taxes as a share of total income, decile 2 (every acquisition)","se":null,"unit":"% of income","value":6.0442800000000005},{"ci_high":null,"ci_level":null,"ci_low":null,"derivation":{"note_pt":"","steps":[{"formula":"\u03c4 = s_food_at_home \u00d7 \u03c4_food_at_home + s_food_away \u00d7 \u03c4_food_away + s_housing \u00d7 \u03c4_housing + s_utilities \u00d7 \u03c4_utilities + s_transport_fuel \u00d7 \u03c4_transport_fuel + s_transport_other \u00d7 \u03c4_transport_other + s_telecom \u00d7 \u03c4_telecom + s_clothing \u00d7 \u03c4_clothing + s_health \u00d7 \u03c4_health + s_education \u00d7 \u03c4_education + s_personal_care \u00d7 \u03c4_personal_care + s_durables \u00d7 \u03c4_durables + s_other \u00d7 \u03c4_other","result":0.1329736397748593,"terms":[{"note":"parcela do consumo em food_at_home","symbol":"s_food_at_home","unit":"parcela","value":0.33771106941838647},{"note":"parcela do consumo em food_away","symbol":"s_food_away","unit":"parcela","value":0.04221388367729831},{"note":"parcela do consumo em housing","symbol":"s_housing","unit":"parcela","value":0.42213883677298314},{"note":"parcela do consumo em utilities","symbol":"s_utilities","unit":"parcela","value":0.10881801125703565},{"note":"parcela do consumo em transport_fuel","symbol":"s_transport_fuel","unit":"parcela","value":0.07035647279549719},{"note":"parcela do consumo em transport_other","symbol":"s_transport_other","unit":"parcela","value":0.0},{"note":"parcela do consumo em telecom","symbol":"s_telecom","unit":"parcela","value":0.0},{"note":"parcela do consumo em clothing","symbol":"s_clothing","unit":"parcela","value":0.0},{"note":"parcela do consumo em health","symbol":"s_health","unit":"parcela","value":0.0},{"note":"parcela do consumo em education","symbol":"s_education","unit":"parcela","value":0.0},{"note":"parcela do consumo em personal_care","symbol":"s_personal_care","unit":"parcela","value":0.0},{"note":"parcela do consumo em durables","symbol":"s_durables","unit":"parcela","value":0.0},{"note":"parcela do consumo em other","symbol":"s_other","unit":"parcela","value":0.01876172607879925},{"note":"imposto por real gasto em food_at_home","symbol":"\u03c4_food_at_home","unit":"R$ por R$","value":0.15},{"note":"imposto por real gasto em food_away","symbol":"\u03c4_food_away","unit":"R$ por R$","value":0.1617},{"note":"imposto por real gasto em housing","symbol":"\u03c4_housing","unit":"R$ por R$","value":0.030699999999999998},{"note":"imposto por real gasto em utilities","symbol":"\u03c4_utilities","unit":"R$ por R$","value":0.3299},{"note":"imposto por real gasto em transport_fuel","symbol":"\u03c4_transport_fuel","unit":"R$ por R$","value":0.33640000000000003},{"note":"imposto por real gasto em transport_other","symbol":"\u03c4_transport_other","unit":"R$ por R$","value":0.16519999999999999},{"note":"imposto por real gasto em telecom","symbol":"\u03c4_telecom","unit":"R$ por R$","value":0.2987},{"note":"imposto por real gasto em clothing","symbol":"\u03c4_clothing","unit":"R$ por R$","value":0.204},{"note":"imposto por real gasto em health","symbol":"\u03c4_health","unit":"R$ por R$","value":0.154},{"note":"imposto por real gasto em education","symbol":"\u03c4_education","unit":"R$ por R$","value":0.078},{"note":"imposto por real gasto em personal_care","symbol":"\u03c4_personal_care","unit":"R$ por R$","value":0.259},{"note":"imposto por real gasto em durables","symbol":"\u03c4_durables","unit":"R$ por R$","value":0.2571},{"note":"imposto por real gasto em other","symbol":"\u03c4_other","unit":"R$ por R$","value":0.158}],"text_pt":"Imposto por real consumido no decile 3: a parcela do consumo gasta em cada grupo de consumo vezes o imposto por real gasto nesse grupo, somadas.","unit":"R$ por R$"},{"formula":"r = C / Y","result":0.35533333333333333,"terms":[{"note":"consumo ponderado","symbol":"C","unit":"R$/m\u00eas","value":1066000.0},{"note":"renda total ponderada","symbol":"Y","unit":"R$/m\u00eas","value":3000000.0}],"text_pt":"Consumo sobre renda total do decile 3, somas ponderadas por m\u00eas.","unit":"raz\u00e3o"},{"formula":"carga = 100 \u00d7 r \u00d7 \u03c4","result":4.724996666666667,"terms":[],"text_pt":"A carga \u00e9 o imposto por real consumido vezes o consumo por real de renda, em % da renda.","unit":"% da renda"}]},"key":"burden.decile_3","label":"Indirect taxes as a share of total income, decile 3 (every acquisition)","se":null,"unit":"% of income","value":4.724996666666667},{"ci_high":null,"ci_level":null,"ci_low":null,"derivation":{"note_pt":"","steps":[{"formula":"\u03c4 = s_food_at_home \u00d7 \u03c4_food_at_home + s_food_away \u00d7 \u03c4_food_away + s_housing \u00d7 \u03c4_housing + s_utilities \u00d7 \u03c4_utilities + s_transport_fuel \u00d7 \u03c4_transport_fuel + s_transport_other \u00d7 \u03c4_transport_other + s_telecom \u00d7 \u03c4_telecom + s_clothing \u00d7 \u03c4_clothing + s_health \u00d7 \u03c4_health + s_education \u00d7 \u03c4_education + s_personal_care \u00d7 \u03c4_personal_care + s_durables \u00d7 \u03c4_durables + s_other \u00d7 \u03c4_other","result":0.1313523424878837,"terms":[{"note":"parcela do consumo em food_at_home","symbol":"s_food_at_home","unit":"parcela","value":0.3069466882067851},{"note":"parcela do consumo em food_away","symbol":"s_food_away","unit":"parcela","value":0.048465266558966075},{"note":"parcela do consumo em housing","symbol":"s_housing","unit":"parcela","value":0.44426494345718903},{"note":"parcela do consumo em utilities","symbol":"s_utilities","unit":"parcela","value":0.10339256865912763},{"note":"parcela do consumo em transport_fuel","symbol":"s_transport_fuel","unit":"parcela","value":0.08077544426494346},{"note":"parcela do consumo em transport_other","symbol":"s_transport_other","unit":"parcela","value":0.0},{"note":"parcela do consumo em telecom","symbol":"s_telecom","unit":"parcela","value":0.0},{"note":"parcela do consumo em clothing","symbol":"s_clothing","unit":"parcela","value":0.0},{"note":"parcela do consumo em health","symbol":"s_health","unit":"parcela","value":0.0},{"note":"parcela do consumo em education","symbol":"s_education","unit":"parcela","value":0.0},{"note":"parcela do consumo em personal_care","symbol":"s_personal_care","unit":"parcela","value":0.0},{"note":"parcela do consumo em durables","symbol":"s_durables","unit":"parcela","value":0.0},{"note":"parcela do consumo em other","symbol":"s_other","unit":"parcela","value":0.01615508885298869},{"note":"imposto por real gasto em food_at_home","symbol":"\u03c4_food_at_home","unit":"R$ por R$","value":0.15},{"note":"imposto por real gasto em food_away","symbol":"\u03c4_food_away","unit":"R$ por R$","value":0.1617},{"note":"imposto por real gasto em housing","symbol":"\u03c4_housing","unit":"R$ por R$","value":0.030699999999999998},{"note":"imposto por real gasto em utilities","symbol":"\u03c4_utilities","unit":"R$ por R$","value":0.3299},{"note":"imposto por real gasto em transport_fuel","symbol":"\u03c4_transport_fuel","unit":"R$ por R$","value":0.33640000000000003},{"note":"imposto por real gasto em transport_other","symbol":"\u03c4_transport_other","unit":"R$ por R$","value":0.16519999999999999},{"note":"imposto por real gasto em telecom","symbol":"\u03c4_telecom","unit":"R$ por R$","value":0.2987},{"note":"imposto por real gasto em clothing","symbol":"\u03c4_clothing","unit":"R$ por R$","value":0.204},{"note":"imposto por real gasto em health","symbol":"\u03c4_health","unit":"R$ por R$","value":0.154},{"note":"imposto por real gasto em education","symbol":"\u03c4_education","unit":"R$ por R$","value":0.078},{"note":"imposto por real gasto em personal_care","symbol":"\u03c4_personal_care","unit":"R$ por R$","value":0.259},{"note":"imposto por real gasto em durables","symbol":"\u03c4_durables","unit":"R$ por R$","value":0.2571},{"note":"imposto por real gasto em other","symbol":"\u03c4_other","unit":"R$ por R$","value":0.158}],"text_pt":"Imposto por real consumido no decile 4: a parcela do consumo gasta em cada grupo de consumo vezes o imposto por real gasto nesse grupo, somadas.","unit":"R$ por R$"},{"formula":"r = C / Y","result":0.3095,"terms":[{"note":"consumo ponderado","symbol":"C","unit":"R$/m\u00eas","value":1238000.0},{"note":"renda total ponderada","symbol":"Y","unit":"R$/m\u00eas","value":4000000.0}],"text_pt":"Consumo sobre renda total do decile 4, somas ponderadas por m\u00eas.","unit":"raz\u00e3o"},{"formula":"carga = 100 \u00d7 r \u00d7 \u03c4","result":4.065355,"terms":[],"text_pt":"A carga \u00e9 o imposto por real consumido vezes o consumo por real de renda, em % da renda.","unit":"% da renda"}]},"key":"burden.decile_4","label":"Indirect taxes as a share of total income, decile 4 (every acquisition)","se":null,"unit":"% of income","value":4.065355},{"ci_high":null,"ci_level":null,"ci_low":null,"derivation":{"note_pt":"","steps":[{"formula":"\u03c4 = s_food_at_home \u00d7 \u03c4_food_at_home + s_food_away \u00d7 \u03c4_food_away + s_housing \u00d7 \u03c4_housing + s_utilities \u00d7 \u03c4_utilities + s_transport_fuel \u00d7 \u03c4_transport_fuel + s_transport_other \u00d7 \u03c4_transport_other + s_telecom \u00d7 \u03c4_telecom + s_clothing \u00d7 \u03c4_clothing + s_health \u00d7 \u03c4_health + s_education \u00d7 \u03c4_education + s_personal_care \u00d7 \u03c4_personal_care + s_durables \u00d7 \u03c4_durables + s_other \u00d7 \u03c4_other","result":0.13012659574468086,"terms":[{"note":"parcela do consumo em food_at_home","symbol":"s_food_at_home","unit":"parcela","value":0.28368794326241137},{"note":"parcela do consumo em food_away","symbol":"s_food_away","unit":"parcela","value":0.05319148936170213},{"note":"parcela do consumo em housing","symbol":"s_housing","unit":"parcela","value":0.46099290780141844},{"note":"parcela do consumo em utilities","symbol":"s_utilities","unit":"parcela","value":0.09929078014184398},{"note":"parcela do consumo em transport_fuel","symbol":"s_transport_fuel","unit":"parcela","value":0.08865248226950355},{"note":"parcela do consumo em transport_other","symbol":"s_transport_other","unit":"parcela","value":0.0},{"note":"parcela do consumo em telecom","symbol":"s_telecom","unit":"parcela","value":0.0},{"note":"parcela do consumo em clothing","symbol":"s_clothing","unit":"parcela","value":0.0},{"note":"parcela do consumo em health","symbol":"s_health","unit":"parcela","value":0.0},{"note":"parcela do consumo em education","symbol":"s_education","unit":"parcela","value":0.0},{"note":"parcela do consumo em personal_care","symbol":"s_personal_care","unit":"parcela","value":0.0},{"note":"parcela do consumo em durables","symbol":"s_durables","unit":"parcela","value":0.0},{"note":"parcela do consumo em other","symbol":"s_other","unit":"parcela","value":0.014184397163120567},{"note":"imposto por real gasto em food_at_home","symbol":"\u03c4_food_at_home","unit":"R$ por R$","value":0.15},{"note":"imposto por real gasto em food_away","symbol":"\u03c4_food_away","unit":"R$ por R$","value":0.1617},{"note":"imposto por real gasto em housing","symbol":"\u03c4_housing","unit":"R$ por R$","value":0.030699999999999998},{"note":"imposto por real gasto em utilities","symbol":"\u03c4_utilities","unit":"R$ por R$","value":0.3299},{"note":"imposto por real gasto em transport_fuel","symbol":"\u03c4_transport_fuel","unit":"R$ por R$","value":0.33640000000000003},{"note":"imposto por real gasto em transport_other","symbol":"\u03c4_transport_other","unit":"R$ por R$","value":0.16519999999999999},{"note":"imposto por real gasto em telecom","symbol":"\u03c4_telecom","unit":"R$ por R$","value":0.2987},{"note":"imposto por real gasto em clothing","symbol":"\u03c4_clothing","unit":"R$ por R$","value":0.204},{"note":"imposto por real gasto em health","symbol":"\u03c4_health","unit":"R$ por R$","value":0.154},{"note":"imposto por real gasto em education","symbol":"\u03c4_education","unit":"R$ por R$","value":0.078},{"note":"imposto por real gasto em personal_care","symbol":"\u03c4_personal_care","unit":"R$ por R$","value":0.259},{"note":"imposto por real gasto em durables","symbol":"\u03c4_durables","unit":"R$ por R$","value":0.2571},{"note":"imposto por real gasto em other","symbol":"\u03c4_other","unit":"R$ por R$","value":0.158}],"text_pt":"Imposto por real consumido no decile 5: a parcela do consumo gasta em cada grupo de consumo vezes o imposto por real gasto nesse grupo, somadas.","unit":"R$ por R$"},{"formula":"r = C / Y","result":0.282,"terms":[{"note":"consumo ponderado","symbol":"C","unit":"R$/m\u00eas","value":1410000.0},{"note":"renda total ponderada","symbol":"Y","unit":"R$/m\u00eas","value":5000000.0}],"text_pt":"Consumo sobre renda total do decile 5, somas ponderadas por m\u00eas.","unit":"raz\u00e3o"},{"formula":"carga = 100 \u00d7 r \u00d7 \u03c4","result":3.6695699999999998,"terms":[],"text_pt":"A carga \u00e9 o imposto por real consumido vezes o consumo por real de renda, em % da renda.","unit":"% da renda"}]},"key":"burden.decile_5","label":"Indirect taxes as a share of total income, decile 5 (every acquisition)","se":null,"unit":"% of income","value":3.6695699999999998},{"ci_high":null,"ci_level":null,"ci_low":null,"derivation":{"note_pt":"","steps":[{"formula":"\u03c4 = s_food_at_home \u00d7 \u03c4_food_at_home + s_food_away \u00d7 \u03c4_food_away + s_housing \u00d7 \u03c4_housing + s_utilities \u00d7 \u03c4_utilities + s_transport_fuel \u00d7 \u03c4_transport_fuel + s_transport_other \u00d7 \u03c4_transport_other + s_telecom \u00d7 \u03c4_telecom + s_clothing \u00d7 \u03c4_clothing + s_health \u00d7 \u03c4_health + s_education \u00d7 \u03c4_education + s_personal_care \u00d7 \u03c4_personal_care + s_durables \u00d7 \u03c4_durables + s_other \u00d7 \u03c4_other","result":0.12916738305941847,"terms":[{"note":"parcela do consumo em food_at_home","symbol":"s_food_at_home","unit":"parcela","value":0.26548672566371684},{"note":"parcela do consumo em food_away","symbol":"s_food_away","unit":"parcela","value":0.056890012642225034},{"note":"parcela do consumo em housing","symbol":"s_housing","unit":"parcela","value":0.4740834386852086},{"note":"parcela do consumo em utilities","symbol":"s_utilities","unit":"parcela","value":0.09608091024020228},{"note":"parcela do consumo em transport_fuel","symbol":"s_transport_fuel","unit":"parcela","value":0.09481668773704172},{"note":"parcela do consumo em transport_other","symbol":"s_transport_other","unit":"parcela","value":0.0},{"note":"parcela do consumo em telecom","symbol":"s_telecom","unit":"parcela","value":0.0},{"note":"parcela do consumo em clothing","symbol":"s_clothing","unit":"parcela","value":0.0},{"note":"parcela do consumo em health","symbol":"s_health","unit":"parcela","value":0.0},{"note":"parcela do consumo em education","symbol":"s_education","unit":"parcela","value":0.0},{"note":"parcela do consumo em personal_care","symbol":"s_personal_care","unit":"parcela","value":0.0},{"note":"parcela do consumo em durables","symbol":"s_durables","unit":"parcela","value":0.0},{"note":"parcela do consumo em other","symbol":"s_other","unit":"parcela","value":0.012642225031605562},{"note":"imposto por real gasto em food_at_home","symbol":"\u03c4_food_at_home","unit":"R$ por R$","value":0.15},{"note":"imposto por real gasto em food_away","symbol":"\u03c4_food_away","unit":"R$ por R$","value":0.1617},{"note":"imposto por real gasto em housing","symbol":"\u03c4_housing","unit":"R$ por R$","value":0.030699999999999998},{"note":"imposto por real gasto em utilities","symbol":"\u03c4_utilities","unit":"R$ por R$","value":0.3299},{"note":"imposto por real gasto em transport_fuel","symbol":"\u03c4_transport_fuel","unit":"R$ por R$","value":0.33640000000000003},{"note":"imposto por real gasto em transport_other","symbol":"\u03c4_transport_other","unit":"R$ por R$","value":0.16519999999999999},{"note":"imposto por real gasto em telecom","symbol":"\u03c4_telecom","unit":"R$ por R$","value":0.2987},{"note":"imposto por real gasto em clothing","symbol":"\u03c4_clothing","unit":"R$ por R$","value":0.204},{"note":"imposto por real gasto em health","symbol":"\u03c4_health","unit":"R$ por R$","value":0.154},{"note":"imposto por real gasto em education","symbol":"\u03c4_education","unit":"R$ por R$","value":0.078},{"note":"imposto por real gasto em personal_care","symbol":"\u03c4_personal_care","unit":"R$ por R$","value":0.259},{"note":"imposto por real gasto em durables","symbol":"\u03c4_durables","unit":"R$ por R$","value":0.2571},{"note":"imposto por real gasto em other","symbol":"\u03c4_other","unit":"R$ por R$","value":0.158}],"text_pt":"Imposto por real consumido no decile 6: a parcela do consumo gasta em cada grupo de consumo vezes o imposto por real gasto nesse grupo, somadas.","unit":"R$ por R$"},{"formula":"r = C / Y","result":0.26366666666666666,"terms":[{"note":"consumo ponderado","symbol":"C","unit":"R$/m\u00eas","value":1582000.0},{"note":"renda total ponderada","symbol":"Y","unit":"R$/m\u00eas","value":6000000.0}],"text_pt":"Consumo sobre renda total do decile 6, somas ponderadas por m\u00eas.","unit":"raz\u00e3o"},{"formula":"carga = 100 \u00d7 r \u00d7 \u03c4","result":3.405713333333334,"terms":[],"text_pt":"A carga \u00e9 o imposto por real consumido vezes o consumo por real de renda, em % da renda.","unit":"% da renda"}]},"key":"burden.decile_6","label":"Indirect taxes as a share of total income, decile 6 (every acquisition)","se":null,"unit":"% of income","value":3.405713333333334},{"ci_high":null,"ci_level":null,"ci_low":null,"derivation":{"note_pt":"","steps":[{"formula":"\u03c4 = s_food_at_home \u00d7 \u03c4_food_at_home + s_food_away \u00d7 \u03c4_food_away + s_housing \u00d7 \u03c4_housing + s_utilities \u00d7 \u03c4_utilities + s_transport_fuel \u00d7 \u03c4_transport_fuel + s_transport_other \u00d7 \u03c4_transport_other + s_telecom \u00d7 \u03c4_telecom + s_clothing \u00d7 \u03c4_clothing + s_health \u00d7 \u03c4_health + s_education \u00d7 \u03c4_education + s_personal_care \u00d7 \u03c4_personal_care + s_durables \u00d7 \u03c4_durables + s_other \u00d7 \u03c4_other","result":0.12839629418472062,"terms":[{"note":"parcela do consumo em food_at_home","symbol":"s_food_at_home","unit":"parcela","value":0.2508551881413911},{"note":"parcela do consumo em food_away","symbol":"s_food_away","unit":"parcela","value":0.05986316989737742},{"note":"parcela do consumo em housing","symbol":"s_housing","unit":"parcela","value":0.4846066134549601},{"note":"parcela do consumo em utilities","symbol":"s_utilities","unit":"parcela","value":0.09350057012542759},{"note":"parcela do consumo em transport_fuel","symbol":"s_transport_fuel","unit":"parcela","value":0.09977194982896237},{"note":"parcela do consumo em transport_other","symbol":"s_transport_other","unit":"parcela","value":0.0},{"note":"parcela do consumo em telecom","symbol":"s_telecom","unit":"parcela","value":0.0},{"note":"parcela do consumo em clothing","symbol":"s_clothing","unit":"parcela","value":0.0},{"note":"parcela do consumo em health","symbol":"s_health","unit":"parcela","value":0.0},{"note":"parcela do consumo em education","symbol":"s_education","unit":"parcela","value":0.0},{"note":"parcela do consumo em personal_care","symbol":"s_personal_care","unit":"parcela","value":0.0},{"note":"parcela do consumo em durables","symbol":"s_durables","unit":"parcela","value":0.0},{"note":"parcela do consumo em other","symbol":"s_other","unit":"parcela","value":0.011402508551881414},{"note":"imposto por real gasto em food_at_home","symbol":"\u03c4_food_at_home","unit":"R$ por R$","value":0.15},{"note":"imposto por real gasto em food_away","symbol":"\u03c4_food_away","unit":"R$ por R$","value":0.1617},{"note":"imposto por real gasto em housing","symbol":"\u03c4_housing","unit":"R$ por R$","value":0.030699999999999998},{"note":"imposto por real gasto em utilities","symbol":"\u03c4_utilities","unit":"R$ por R$","value":0.3299},{"note":"imposto por real gasto em transport_fuel","symbol":"\u03c4_transport_fuel","unit":"R$ por R$","value":0.33640000000000003},{"note":"imposto por real gasto em transport_other","symbol":"\u03c4_transport_other","unit":"R$ por R$","value":0.16519999999999999},{"note":"imposto por real gasto em telecom","symbol":"\u03c4_telecom","unit":"R$ por R$","value":0.2987},{"note":"imposto por real gasto em clothing","symbol":"\u03c4_clothing","unit":"R$ por R$","value":0.204},{"note":"imposto por real gasto em health","symbol":"\u03c4_health","unit":"R$ por R$","value":0.154},{"note":"imposto por real gasto em education","symbol":"\u03c4_education","unit":"R$ por R$","value":0.078},{"note":"imposto por real gasto em personal_care","symbol":"\u03c4_personal_care","unit":"R$ por R$","value":0.259},{"note":"imposto por real gasto em durables","symbol":"\u03c4_durables","unit":"R$ por R$","value":0.2571},{"note":"imposto por real gasto em other","symbol":"\u03c4_other","unit":"R$ por R$","value":0.158}],"text_pt":"Imposto por real consumido no decile 7: a parcela do consumo gasta em cada grupo de consumo vezes o imposto por real gasto nesse grupo, somadas.","unit":"R$ por R$"},{"formula":"r = C / Y","result":0.25057142857142856,"terms":[{"note":"consumo ponderado","symbol":"C","unit":"R$/m\u00eas","value":1754000.0},{"note":"renda total ponderada","symbol":"Y","unit":"R$/m\u00eas","value":7000000.0}],"text_pt":"Consumo sobre renda total do decile 7, somas ponderadas por m\u00eas.","unit":"raz\u00e3o"},{"formula":"carga = 100 \u00d7 r \u00d7 \u03c4","result":3.217244285714285,"terms":[],"text_pt":"A carga \u00e9 o imposto por real consumido vezes o consumo por real de renda, em % da renda.","unit":"% da renda"}]},"key":"burden.decile_7","label":"Indirect taxes as a share of total income, decile 7 (every acquisition)","se":null,"unit":"% of income","value":3.217244285714285},{"ci_high":null,"ci_level":null,"ci_low":null,"derivation":{"note_pt":"","steps":[{"formula":"\u03c4 = s_food_at_home \u00d7 \u03c4_food_at_home + s_food_away \u00d7 \u03c4_food_away + s_housing \u00d7 \u03c4_housing + s_utilities \u00d7 \u03c4_utilities + s_transport_fuel \u00d7 \u03c4_transport_fuel + s_transport_other \u00d7 \u03c4_transport_other + s_telecom \u00d7 \u03c4_telecom + s_clothing \u00d7 \u03c4_clothing + s_health \u00d7 \u03c4_health + s_education \u00d7 \u03c4_education + s_personal_care \u00d7 \u03c4_personal_care + s_durables \u00d7 \u03c4_durables + s_other \u00d7 \u03c4_other","result":0.12776292834890968,"terms":[{"note":"parcela do consumo em food_at_home","symbol":"s_food_at_home","unit":"parcela","value":0.23883696780893043},{"note":"parcela do consumo em food_away","symbol":"s_food_away","unit":"parcela","value":0.06230529595015576},{"note":"parcela do consumo em housing","symbol":"s_housing","unit":"parcela","value":0.4932502596053998},{"note":"parcela do consumo em utilities","symbol":"s_utilities","unit":"parcela","value":0.09138110072689512},{"note":"parcela do consumo em transport_fuel","symbol":"s_transport_fuel","unit":"parcela","value":0.10384215991692627},{"note":"parcela do consumo em transport_other","symbol":"s_transport_other","unit":"parcela","value":0.0},{"note":"parcela do consumo em telecom","symbol":"s_telecom","unit":"parcela","value":0.0},{"note":"parcela do consumo em clothing","symbol":"s_clothing","unit":"parcela","value":0.0},{"note":"parcela do consumo em health","symbol":"s_health","unit":"parcela","value":0.0},{"note":"parcela do consumo em education","symbol":"s_education","unit":"parcela","value":0.0},{"note":"parcela do consumo em personal_care","symbol":"s_personal_care","unit":"parcela","value":0.0},{"note":"parcela do consumo em durables","symbol":"s_durables","unit":"parcela","value":0.0},{"note":"parcela do consumo em other","symbol":"s_other","unit":"parcela","value":0.010384215991692628},{"note":"imposto por real gasto em food_at_home","symbol":"\u03c4_food_at_home","unit":"R$ por R$","value":0.15},{"note":"imposto por real gasto em food_away","symbol":"\u03c4_food_away","unit":"R$ por R$","value":0.1617},{"note":"imposto por real gasto em housing","symbol":"\u03c4_housing","unit":"R$ por R$","value":0.030699999999999998},{"note":"imposto por real gasto em utilities","symbol":"\u03c4_utilities","unit":"R$ por R$","value":0.3299},{"note":"imposto por real gasto em transport_fuel","symbol":"\u03c4_transport_fuel","unit":"R$ por R$","value":0.33640000000000003},{"note":"imposto por real gasto em transport_other","symbol":"\u03c4_transport_other","unit":"R$ por R$","value":0.16519999999999999},{"note":"imposto por real gasto em telecom","symbol":"\u03c4_telecom","unit":"R$ por R$","value":0.2987},{"note":"imposto por real gasto em clothing","symbol":"\u03c4_clothing","unit":"R$ por R$","value":0.204},{"note":"imposto por real gasto em health","symbol":"\u03c4_health","unit":"R$ por R$","value":0.154},{"note":"imposto por real gasto em education","symbol":"\u03c4_education","unit":"R$ por R$","value":0.078},{"note":"imposto por real gasto em personal_care","symbol":"\u03c4_personal_care","unit":"R$ por R$","value":0.259},{"note":"imposto por real gasto em durables","symbol":"\u03c4_durables","unit":"R$ por R$","value":0.2571},{"note":"imposto por real gasto em other","symbol":"\u03c4_other","unit":"R$ por R$","value":0.158}],"text_pt":"Imposto por real consumido no decile 8: a parcela do consumo gasta em cada grupo de consumo vezes o imposto por real gasto nesse grupo, somadas.","unit":"R$ por R$"},{"formula":"r = C / Y","result":0.24075,"terms":[{"note":"consumo ponderado","symbol":"C","unit":"R$/m\u00eas","value":1926000.0},{"note":"renda total ponderada","symbol":"Y","unit":"R$/m\u00eas","value":8000000.0}],"text_pt":"Consumo sobre renda total do decile 8, somas ponderadas por m\u00eas.","unit":"raz\u00e3o"},{"formula":"carga = 100 \u00d7 r \u00d7 \u03c4","result":3.0758925000000006,"terms":[],"text_pt":"A carga \u00e9 o imposto por real consumido vezes o consumo por real de renda, em % da renda.","unit":"% da renda"}]},"key":"burden.decile_8","label":"Indirect taxes as a share of total income, decile 8 (every acquisition)","se":null,"unit":"% of income","value":3.0758925000000006},{"ci_high":null,"ci_level":null,"ci_low":null,"derivation":{"note_pt":"","steps":[{"formula":"\u03c4 = s_food_at_home \u00d7 \u03c4_food_at_home + s_food_away \u00d7 \u03c4_food_away + s_housing \u00d7 \u03c4_housing + s_utilities \u00d7 \u03c4_utilities + s_transport_fuel \u00d7 \u03c4_transport_fuel + s_transport_other \u00d7 \u03c4_transport_other + s_telecom \u00d7 \u03c4_telecom + s_clothing \u00d7 \u03c4_clothing + s_health \u00d7 \u03c4_health + s_education \u00d7 \u03c4_education + s_personal_care \u00d7 \u03c4_personal_care + s_durables \u00d7 \u03c4_durables + s_other \u00d7 \u03c4_other","result":0.12723341277407055,"terms":[{"note":"parcela do consumo em food_at_home","symbol":"s_food_at_home","unit":"parcela","value":0.22878932316491898},{"note":"parcela do consumo em food_away","symbol":"s_food_away","unit":"parcela","value":0.06434699714013346},{"note":"parcela do consumo em housing","symbol":"s_housing","unit":"parcela","value":0.5004766444232602},{"note":"parcela do consumo em utilities","symbol":"s_utilities","unit":"parcela","value":0.08960915157292659},{"note":"parcela do consumo em transport_fuel","symbol":"s_transport_fuel","unit":"parcela","value":0.10724499523355577},{"note":"parcela do consumo em transport_other","symbol":"s_transport_other","unit":"parcela","value":0.0},{"note":"parcela do consumo em telecom","symbol":"s_telecom","unit":"parcela","value":0.0},{"note":"parcela do consumo em clothing","symbol":"s_clothing","unit":"parcela","value":0.0},{"note":"parcela do consumo em health","symbol":"s_health","unit":"parcela","value":0.0},{"note":"parcela do consumo em education","symbol":"s_education","unit":"parcela","value":0.0},{"note":"parcela do consumo em personal_care","symbol":"s_personal_care","unit":"parcela","value":0.0},{"note":"parcela do consumo em durables","symbol":"s_durables","unit":"parcela","value":0.0},{"note":"parcela do consumo em other","symbol":"s_other","unit":"parcela","value":0.009532888465204958},{"note":"imposto por real gasto em food_at_home","symbol":"\u03c4_food_at_home","unit":"R$ por R$","value":0.15},{"note":"imposto por real gasto em food_away","symbol":"\u03c4_food_away","unit":"R$ por R$","value":0.1617},{"note":"imposto por real gasto em housing","symbol":"\u03c4_housing","unit":"R$ por R$","value":0.030699999999999998},{"note":"imposto por real gasto em utilities","symbol":"\u03c4_utilities","unit":"R$ por R$","value":0.3299},{"note":"imposto por real gasto em transport_fuel","symbol":"\u03c4_transport_fuel","unit":"R$ por R$","value":0.33640000000000003},{"note":"imposto por real gasto em transport_other","symbol":"\u03c4_transport_other","unit":"R$ por R$","value":0.16519999999999999},{"note":"imposto por real gasto em telecom","symbol":"\u03c4_telecom","unit":"R$ por R$","value":0.2987},{"note":"imposto por real gasto em clothing","symbol":"\u03c4_clothing","unit":"R$ por R$","value":0.204},{"note":"imposto por real gasto em health","symbol":"\u03c4_health","unit":"R$ por R$","value":0.154},{"note":"imposto por real gasto em education","symbol":"\u03c4_education","unit":"R$ por R$","value":0.078},{"note":"imposto por real gasto em personal_care","symbol":"\u03c4_personal_care","unit":"R$ por 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