diff --git a/jb/_build/.doctrees/flat-tax.doctree b/jb/_build/.doctrees/flat-tax.doctree new file mode 100644 index 0000000..5020f77 Binary files /dev/null and b/jb/_build/.doctrees/flat-tax.doctree differ diff --git a/jb/_build/.doctrees/glue_cache.json b/jb/_build/.doctrees/glue_cache.json new file mode 100644 index 0000000..9e26dfe --- /dev/null +++ b/jb/_build/.doctrees/glue_cache.json @@ -0,0 +1 @@ +{} \ No newline at end of file diff --git a/jb/_build/.doctrees/index.doctree b/jb/_build/.doctrees/index.doctree new file mode 100644 index 0000000..78fec73 Binary files /dev/null and b/jb/_build/.doctrees/index.doctree differ diff --git a/jb/_build/jupyter_execute/flat-tax.ipynb b/jb/_build/jupyter_execute/flat-tax.ipynb new file mode 100644 index 0000000..c4e0c40 --- /dev/null +++ b/jb/_build/jupyter_execute/flat-tax.ipynb @@ -0,0 +1,100061 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Universal Basic Income in the United Kingdom\n", + "\n", + "## Introduction\n", + "\n", + "The British government has sought to simplify the benefit system by consolidating six benefits into a single payment, known as Universal Credit. Despite the name, Universal Credit is not universal, as factors such as income and number of children affect the amount of benefit a claimant will receive. The rollout of Universal Credit has been plagued with problems, potentially opening the door to a reconsideration of the UK’s benefit system. Additionally, the COVID-19 pandemic has possibly altered the British public’s perception of the current benefits system. In April 2020, 51% percent of British adults said they would be supportive of the introduction of a Universal Basic Income (YouGov, 2020).\n", + "\n", + "Using the OpenFisca microsimulation framework, UK taxes and benefits have been modelled in OpenFisca-UK. Four basic income simulations were designed and simulated using this model, using data from the 2018/19 Family Resources Survey (FRS). The four static microsimulations implemented different types of basic income systems, funded by different tax reforms and benefit changes.\n", + "\n", + "## Reforms\n", + "\n", + "Four reforms were analysed, each with a different distribution of basic income payments, but all following a core strategy. In common between all reforms are:\n", + "\n", + "- Funding from a 50% flat Income Tax (National Insurance is removed)\n", + "- Removal of means-tested benefits\n", + " - Jobseeker’s Allowance (contribution-based and income-based)\n", + " - Income Support\n", + " - Pension Credit\n", + " - State Pension\n", + " - Working Tax Credit\n", + " - Child Tax Credit\n", + " - Child Benefit\n", + " - Housing Benefit\n", + "- A basic income of £165 per week for citizens over State Pension age\n", + "\n", + "From this, each of the reforms explores an intersection of two variables in the basic income:\n", + "\n", + "1. Whether children should receive half of the adult UBI, or the full amount\n", + "2. Whether a disability supplement should exist\n", + "\n", + " - In these reforms, we reverse the adult-child ratio of the basic income for disability to equalise overall basic income among the disabled.\n", + "\n", + "### Reform cross-sections\n", + "\n", + "| | | Adult-child ratio | | | |\n", + "|-----------------------|--------|:-----------------:|:------------:|---|---|\n", + "| | | 2:1 | 1:1 | | |\n", + "| Disability supplement | None | half_ubi | full_ubi | | |\n", + "| | Exists | half_dis_ubi | full_dis_ubi | | |\n", + "\n", + "### Weekly amounts\n", + "\n", + "We decide weekly amounts by applying the changes constant across all reforms, and then using the amounts that are constrained by the cross-sectional parameters and produce a budget neutral reform.\n", + "\n", + "## Reform budgets\n", + "We can see the net cost of each reform to be negative - each reform generates a budget surplus." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "scrolled": true, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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Abled PensionersDisabled PensionersAbled WA AdultDisabled WA AdultAbled ChildDisabled ChildNet cost
Reform
Half165.0165.00136.72136.7268.3668.36-£320m
Half+Dis.165.0221.64113.28169.9256.64169.92-£300m
Full165.0165.00116.02116.02116.02116.02-£970m
Full+Dis.165.0250.9485.94171.8885.94171.88-£500m
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" + ], + "text/plain": [ + " Abled Pensioners Disabled Pensioners Abled WA Adult \\\n", + "Reform \n", + "Half 165.0 165.00 136.72 \n", + "Half+Dis. 165.0 221.64 113.28 \n", + "Full 165.0 165.00 116.02 \n", + "Full+Dis. 165.0 250.94 85.94 \n", + "\n", + " Disabled WA Adult Abled Child Disabled Child Net cost \n", + "Reform \n", + "Half 136.72 68.36 68.36 -£320m \n", + "Half+Dis. 169.92 56.64 169.92 -£300m \n", + "Full 116.02 116.02 116.02 -£970m \n", + "Full+Dis. 171.88 85.94 171.88 -£500m " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from openfisca_uk.tools.simulation import model, entity_df\n", + "from openfisca_uk.tools.reforms import solve_ft_ubi_reform\n", + "import numpy as np\n", + "from plotly import express as px\n", + "from plotly import graph_objects as go\n", + "import pandas as pd\n", + "from IPython.display import display\n", + "from rdbl import gbp\n", + "import warnings\n", + "# warnings.simplefilter('ignore')\n", + "\n", + "CORE_BENEFITS = [\n", + " \"child_benefit\",\n", + " \"income_support\",\n", + " \"JSA_contrib\",\n", + " \"JSA_income\",\n", + " \"child_tax_credit\",\n", + " \"working_tax_credit\",\n", + " \"universal_credit\",\n", + " \"state_pension\",\n", + " \"pension_credit\",\n", + " \"housing_benefit\",\n", + " \"ESA_income\",\n", + " \"ESA_contrib\"\n", + "]\n", + "\n", + "half_ubi, half_ubi_params = solve_ft_ubi_reform(pensioner_amount=165, wa_adult_coef=1, child_coef=0.5, abolish_benefits=CORE_BENEFITS)\n", + "half_ubi_dis, half_ubi_dis_params = solve_ft_ubi_reform(pensioner_amount=165, wa_adult_coef=1, child_coef=0.5, adult_disability_coef=0.5, child_disability_coef=1, abolish_benefits=CORE_BENEFITS)\n", + "full_ubi, full_ubi_params = solve_ft_ubi_reform(pensioner_amount=165, wa_adult_coef=1, child_coef=1, abolish_benefits=CORE_BENEFITS)\n", + "full_ubi_dis, full_ubi_dis_params = solve_ft_ubi_reform(pensioner_amount=165, wa_adult_coef=1, child_coef=1, adult_disability_coef=1, child_disability_coef=1, abolish_benefits=CORE_BENEFITS)\n", + "\n", + "reforms = [half_ubi, half_ubi_dis, full_ubi, full_ubi_dis]\n", + "models = [model(reform) for reform in reforms]\n", + "reform_names = [\"Half\", \"Half+Dis.\", \"Full\", \"Full+Dis.\"]\n", + "\n", + "params = [half_ubi_params, half_ubi_dis_params, full_ubi_params, full_ubi_dis_params]\n", + "'''\n", + "# Convergence graph\n", + "fig = go.Figure()\n", + "\n", + "for i in range(4):\n", + " fig.add_trace(go.Scatter(name=reform_names[i], x=params[i][4], y=params[i][5]))\n", + "\n", + "fig.update_layout(title=\"Core UBI amount by net cost of reform\")\n", + "fig.show()\n", + "'''\n", + "\n", + "info = pd.DataFrame()\n", + "\n", + "def read_param(i):\n", + " return np.array([np.round(params[j][i], 2) for j in range(4)])\n", + "\n", + "info[\"Reform\"] = reform_names\n", + "info[\"Abled Pensioners\"] = [165.00] * 4\n", + "info[\"Disabled Pensioners\"] = info[\"Abled Pensioners\"] + read_param(2)\n", + "info[\"Abled WA Adult\"] = read_param(0)\n", + "info[\"Disabled WA Adult\"] = read_param(0) + read_param(2)\n", + "info[\"Abled Child\"] = read_param(1)\n", + "info[\"Disabled Child\"] = read_param(1) + read_param(3)\n", + "\n", + "baseline = model()\n", + "period = \"2020-10-10\"\n", + "\n", + "households = baseline.calculate(\"household_weight\", period)\n", + "\n", + "def net_cost(reform):\n", + " return np.sum((reform.calculate(\"household_net_income_ahc\", period) - baseline.calculate(\"household_net_income_ahc\", period)) * households) * 52\n", + "\n", + "net_costs = [gbp(net_cost(reform)) for reform in models]\n", + "\n", + "info[\"Net cost\"] = net_costs\n", + "\n", + "info.set_index(\"Reform\", inplace=True)\n", + "\n", + "display(info)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Distributional effects\n", + "\n", + "### Effects on income deciles\n", + "\n", + "We see that the outcomes of all proposed basic income reforms are progressive." + ] + }, + { + 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+ "gridcolor": "white", + "linecolor": "white", + "ticks": "", + "title": { + "standoff": 15 + }, + "zerolinecolor": "white", + "zerolinewidth": 2 + } + } + }, + "title": { + "text": "Average net gain per household income decile" + }, + "xaxis": { + "tickvals": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10 + ], + "title": { + "text": "Income decile" + } + }, + "yaxis": { + "tickprefix": "£", + "title": { + "text": "Average net gain per week" + } + } + } + }, + "text/html": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from plotly import graph_objects as go\n", + "bars = []\n", + "\n", + "for reform_model, reform_name in zip(models, reform_names):\n", + " reform_df = pd.DataFrame()\n", + " reform_df[\"net_gain\"] = (reform_model.calculate(\"household_net_income_ahc\", period) - baseline.calculate(\"household_net_income_ahc\", period))\n", + " reform_df[\"weight\"] = baseline.calculate(\"household_weight\", period)\n", + " reform_df[\"household_income\"] = baseline.calculate(\"household_income\", period)\n", + " reform_df[\"decile\"], bins = pd.qcut(reform_df[\"household_income\"], 10, retbins=True, duplicates=\"drop\")\n", + " reform_df = reform_df.groupby(by=\"decile\").mean()\n", + " bars.append(go.Bar(name=reform_name, x=np.arange(1, 11), y=reform_df[\"net_gain\"]))\n", + " \n", + "fig = go.Figure(data=bars)\n", + "fig.update_layout(barmode='group', title=\"Average net gain per household income decile\", xaxis_title=\"Income decile\", yaxis_title=\"Average net gain per week\", xaxis=dict(tickvals=np.arange(1, 11)), yaxis=dict(tickprefix=\"£\"))\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "All reform simulations give an average net gain to the bottom six household deciles, with the burden shouldered primarily by the top two deciles. We see also the change to individual components of household income and expenditure - showing the sources of the overall changes shown above, in the basic income payments and National Insurance removal." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "scrolled": false, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "base": [ + -0.0025677757803350687, + -0.009928335435688496, + -0.3472626805305481, + -6.833992004394531, + -26.399566650390625, + -46.059181213378906, + -75.43014526367188, + -118.54783630371094, + -196.560546875, + -709.1985473632812 + ], + "marker": { + "color": "rgb(76.0, 114.0, 176.0)" + }, + "name": "Income Tax", + "offsetgroup": "0", + "type": "bar", + "x": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10 + ], + "y": [ + 0, + 0, + 0.019894618541002274, + 2.9066781997680664, + 15.671069145202637, + 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Each decile has a range of outcomes, primarily due to different compositions of household members, income sources and other circumstances." + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "marker": { + "color": "#c56000" + }, + "name": "Decrease more than 5%", + "orientation": "h", + "type": "bar", + "uid": "e48b07dc-e248-47f0-ae7d-51a2af3a2c5a", + "x": [ + 2.088364027440548, + 21.22325748205185, + 29.195964336395264, + 36.21928095817566, + 35.82579791545868, + 41.660869121551514, + 41.03911221027374, + 57.80320763587952, + 69.14820671081543, + 63.73894810676575 + ], + "y": [ + "1", + "2", + "3", + "4", + "5", + "6", + "7", + "8", + "9", + "10" + ] + }, + { + "marker": { + "color": "#ffc046" + }, + "name": "Decrease less than 5%", + "orientation": "h", + "type": "bar", + "uid": 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The disability supplements have a small effect on working-age and child poverty, but a larger effect on senior poverty - likely caused by the higher rate of disability among the elderly." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "name": "Senior citizens BHC", + "type": "bar", + "x": [ + 1, + 2, + 3, + 4 + ], + "xaxis": "x", + "y": [ + -15.891688942282222, + -56.20026312635361, + -15.134294785136701, + -64.47442322647542 + ], + "yaxis": "y" + }, + { + "name": "Working-age adults BHC", + "type": "bar", + "x": [ + 1, + 2, + 3, + 4 + ], + "xaxis": "x", + "y": [ + -41.433493074475415, + -37.555320501022145, + -45.35313472108924, + -36.55154170273908 + ], + "yaxis": "y" + }, + { + "name": "Children BHC", + "type": "bar", + "x": [ + 1, + 2, + 3, + 4 + ], + "xaxis": "x", + "y": [ + 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from plotly import graph_objects as go\n", + "from plotly.subplots import make_subplots\n", + "\n", + "def poverty_rate(sim, cross_section_var, mode=\"bhc\", period=\"2020-09-10\"):\n", + " return np.sum(\n", + " sim.calculate(\"in_poverty_\" + mode, period)\n", + " * sim.calculate(cross_section_var, period)\n", + " * sim.calculate(\"household_weight\", period)\n", + " ) / np.sum(\n", + " sim.calculate(cross_section_var, period)\n", + " * sim.calculate(\"household_weight\", period)\n", + " )\n", + "\n", + "bars = []\n", + "\n", + "poverty_vars = [\n", + " \"seniors\",\n", + " \"working_age_adults\",\n", + " \"children\"\n", + "]\n", + "\n", + "poverty_names = [\n", + " \"Senior citizens\",\n", + " \"Working-age adults\",\n", + " \"Children\"\n", + "]\n", + "\n", + "reform_sims = models\n", + "\n", + "fig = make_subplots(rows=1, cols=2,\n", + " subplot_titles=(\"BHC Poverty\", \"AHC Poverty\"))\n", + "\n", + "for poverty_var, poverty_name in zip(poverty_vars, poverty_names):\n", + " poverty_reductions = []\n", + " baseline_rate = poverty_rate(baseline, f\"{poverty_var}_in_household\",\n", + " period=period)\n", + " for sim, name in zip(reform_sims, reform_names):\n", + " new_rate = poverty_rate(sim, f\"{poverty_var}_in_household\",\n", + " period=period)\n", + " relative_change = (new_rate - baseline_rate) / baseline_rate * 100\n", + " poverty_reductions.append(relative_change)\n", + " fig.add_trace(go.Bar(name=poverty_name + \" BHC\", x=np.arange(1, 5),\n", + " y=poverty_reductions), row=1, col=1)\n", + "\n", + "for poverty_var, poverty_name in zip(poverty_vars, poverty_names):\n", + " poverty_reductions = []\n", + " baseline_rate = poverty_rate(baseline, f\"{poverty_var}_in_household\",\n", + " period=period, mode=\"ahc\")\n", + " for sim, name in zip(reform_sims, reform_names):\n", + " new_rate = poverty_rate(sim, f\"{poverty_var}_in_household\",\n", + " period=period, mode=\"ahc\")\n", + " relative_change = (new_rate - baseline_rate) / baseline_rate * 100\n", + " poverty_reductions.append(relative_change)\n", + " fig.add_trace(go.Bar(name=poverty_name + \" AHC\", x=np.arange(1, 5),\n", + " y=poverty_reductions),\n", + " row=1, col=2)\n", + " \n", + "fig.update_layout(title_text=\"Changes to absolute poverty rates\",\n", + " yaxis=dict(ticksuffix=\"%\"))\n", + " \n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Poverty reduction by circumstance\n", + "We see the effects on specific demographics, for Reform 1:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "name": "benunit receiving disability benefits", + "type": "bar", + "x": [ + 1, + 2, + 3, + 4 + ], + "y": [ + -63.01988248127527, + 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from plotly import graph_objects as go\n", + "from plotly.subplots import make_subplots\n", + "\n", + "def poverty_rate(sim, cross_section_var, period=\"2020-09-10\"):\n", + " return np.sum(\n", + " sim.calculate(\"benunit_in_poverty_bhc\", period)\n", + " * sim.calculate(cross_section_var, period)\n", + " * sim.calculate(\"benunit_weight\", period)\n", + " * sim.calculate(\"people_in_benunit\", period)\n", + " ) / np.sum(\n", + " sim.calculate(cross_section_var, period)\n", + " * sim.calculate(\"benunit_weight\", period)\n", + " * sim.calculate(\"people_in_benunit\", period)\n", + " )\n", + "\n", + "bars = []\n", + "\n", + "poverty_vars = [\n", + " \"benunit_receiving_disability_benefits\",\n", + " \"benunit_receiving_income_support\",\n", + " \"benunit_receiving_tax_credits\",\n", + " \"couple_childless_benunit\",\n", + " \"couple_parents_benunit\",\n", + " \"self_emp_benunit\",\n", + " \"capital_benunit\"\n", + "]\n", + "\n", + "period = \"2020-10-28\"\n", + "\n", + "baseline = model()\n", + "\n", + "fig = go.Figure()\n", + "\n", + "for poverty_var in poverty_vars:\n", + " poverty_reductions = []\n", + " baseline_rate = poverty_rate(baseline, f\"{poverty_var}\", period=period)\n", + " for sim, name in zip(reform_sims, reform_names):\n", + " new_rate = poverty_rate(sim, f\"{poverty_var}\", period=period)\n", + " relative_change = (new_rate - baseline_rate) / baseline_rate * 100\n", + " poverty_reductions.append(relative_change)\n", + " fig.add_trace(go.Bar(name=poverty_var.replace(\"_\", \" \"),\n", + " x=np.arange(1, 5), y=poverty_reductions))\n", + " \n", + "fig.update_layout(title_text=\"Changes to absolute poverty rates, BHC\",\n", + " yaxis=dict(ticksuffix=\"%\"))\n", + " \n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Marginal Tax Rates\n", + "### Baseline MTRs\n", + "\n", + "We see the current marginal tax rates on individuals:" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "scrolled": false, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "gross_income=%{x}
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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from openfisca_uk.tools.simulation import entity_df, model, calc_mtr\n", + "import warnings\n", + "warnings.filterwarnings('ignore')\n", + "mtr = calc_mtr()\n", + "sim = model()\n", + "adults = entity_df(sim, entity=\"person\")\n", + "adults[\"gross_income\"] *= 52\n", + "adults[\"MTR\"] = mtr * 100\n", + "fig = px.scatter(data_frame=adults, x=\"gross_income\", y=\"MTR\", opacity=0.05)\n", + "\n", + "fig.update_layout(xaxis_title=\"Annual earnings\",\n", + " yaxis_title=\"Marginal tax rate\",\n", + " xaxis=dict(range=[-5000, 200000], tickprefix=\"£\"),\n", + " yaxis=dict(range=[-10, 110], ticksuffix=\"%\"))\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that annual income is composed of a number of sources including employment, self-employment, pensions, investment and benefits. We calculate the effective marginal tax rate for each individual by asking the following question: if an individual's (employer-paid) earnings increased by £25 per week, what percentage of that £25 would not appear in the individual's new family net income per week. There is a wide variety of reasons that the additional pound would not be fully preserved, whether part of it goes to Income Tax, National Insurance, or is cancelled out by a reduction in means-tested benefits such as the Tax Credits (41% withdrawal rate), Housing Benefit (65% withdrawal rate), Pension Credit (as high as 100% in low-income individuals) or other benefits and taxes. Where diagonal lines appear, these do not correlate to any specific policy but are instead the result of a non-infinitesimal increase being used: if the bonus takes the individual over a boundary, then parts of the bonus will have different marginal tax rates and therefore the individual MTR will be the average of these. In simulations of the UBI reforms, the marginal tax rate for all individuals with taxable income becomes 50%." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Changes to MTR statistics" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " 1st Percentile 10th Percentile Median 90th Percentile \\\n", + "System \n", + "Baseline 0.000000 0.0 0.2 0.448503 \n", + "Reform 0.499998 0.5 0.5 0.500000 \n", + "\n", + " 99th Percentile Mean \n", + "System \n", + "Baseline 1.000000 0.230870 \n", + "Reform 0.500002 0.499441 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mtr = calc_mtr()\n", + "new_mtr = calc_mtr(reforms[0])\n", + "\n", + "mtr = mtr[np.isfinite(mtr) * (baseline.calculate(\"is_adult\", period) > 0)]\n", + "new_mtr = new_mtr[np.isfinite(new_mtr) *\n", + " (baseline.calculate(\"is_adult\", period) > 0)]\n", + "\n", + "mtr_info = pd.DataFrame()\n", + "mtr_info[\"System\"] = [\"Baseline\", \"Reform\"]\n", + "mtr_info[\"1st Percentile\"] = [np.percentile(mtr, 1),\n", + " np.percentile(new_mtr, 1)]\n", + "mtr_info[\"10th Percentile\"] = [np.percentile(mtr, 10),\n", + " np.percentile(new_mtr, 10)]\n", + "mtr_info[\"Median\"] = [np.median(mtr), np.median(new_mtr)]\n", + "mtr_info[\"90th Percentile\"] = [np.percentile(mtr, 90),\n", + " np.percentile(new_mtr, 90)]\n", + "mtr_info[\"99th Percentile\"] = [np.percentile(mtr, 99),\n", + " np.percentile(new_mtr, 99)]\n", + "mtr_info[\"Mean\"] = [np.average(mtr), np.average(new_mtr)]\n", + "\n", + "mtr_info.set_index(\"System\", inplace=True)\n", + "display(mtr_info)" + ] + } + ], + "metadata": { + "celltoolbar": "Tags", + "colab": { + "collapsed_sections": [], + "name": "Drop down Graphs and Map", + "provenance": [] + }, + "execution": { + "timeout": 600 + }, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} \ No newline at end of file diff --git a/jb/_build/jupyter_execute/flat-tax.py b/jb/_build/jupyter_execute/flat-tax.py new file mode 100644 index 0000000..0ab7cb5 --- /dev/null +++ b/jb/_build/jupyter_execute/flat-tax.py @@ -0,0 +1,455 @@ +# Universal Basic Income in the United Kingdom + +## Introduction + +The British government has sought to simplify the benefit system by consolidating six benefits into a single payment, known as Universal Credit. Despite the name, Universal Credit is not universal, as factors such as income and number of children affect the amount of benefit a claimant will receive. The rollout of Universal Credit has been plagued with problems, potentially opening the door to a reconsideration of the UK’s benefit system. Additionally, the COVID-19 pandemic has possibly altered the British public’s perception of the current benefits system. In April 2020, 51% percent of British adults said they would be supportive of the introduction of a Universal Basic Income (YouGov, 2020). + +Using the OpenFisca microsimulation framework, UK taxes and benefits have been modelled in OpenFisca-UK. Four basic income simulations were designed and simulated using this model, using data from the 2018/19 Family Resources Survey (FRS). The four static microsimulations implemented different types of basic income systems, funded by different tax reforms and benefit changes. + +## Reforms + +Four reforms were analysed, each with a different distribution of basic income payments, but all following a core strategy. In common between all reforms are: + +- Funding from a 50% flat Income Tax (National Insurance is removed) +- Removal of means-tested benefits + - Jobseeker’s Allowance (contribution-based and income-based) + - Income Support + - Pension Credit + - State Pension + - Working Tax Credit + - Child Tax Credit + - Child Benefit + - Housing Benefit +- A basic income of £165 per week for citizens over State Pension age + +From this, each of the reforms explores an intersection of two variables in the basic income: + +1. Whether children should receive half of the adult UBI, or the full amount +2. Whether a disability supplement should exist + + - In these reforms, we reverse the adult-child ratio of the basic income for disability to equalise overall basic income among the disabled. + +### Reform cross-sections + +| | | Adult-child ratio | | | | +|-----------------------|--------|:-----------------:|:------------:|---|---| +| | | 2:1 | 1:1 | | | +| Disability supplement | None | half_ubi | full_ubi | | | +| | Exists | half_dis_ubi | full_dis_ubi | | | + +### Weekly amounts + +We decide weekly amounts by applying the changes constant across all reforms, and then using the amounts that are constrained by the cross-sectional parameters and produce a budget neutral reform. + +## Reform budgets +We can see the net cost of each reform to be negative - each reform generates a budget surplus. + +from openfisca_uk.tools.simulation import model, entity_df +from openfisca_uk.tools.reforms import solve_ft_ubi_reform +import numpy as np +from plotly import express as px +from plotly import graph_objects as go +import pandas as pd +from IPython.display import display +from rdbl import gbp +import warnings +# warnings.simplefilter('ignore') + +CORE_BENEFITS = [ + "child_benefit", + "income_support", + "JSA_contrib", + "JSA_income", + "child_tax_credit", + "working_tax_credit", + "universal_credit", + "state_pension", + "pension_credit", + "housing_benefit", + "ESA_income", + "ESA_contrib" +] + +half_ubi, half_ubi_params = solve_ft_ubi_reform(pensioner_amount=165, wa_adult_coef=1, child_coef=0.5, abolish_benefits=CORE_BENEFITS) +half_ubi_dis, half_ubi_dis_params = solve_ft_ubi_reform(pensioner_amount=165, wa_adult_coef=1, child_coef=0.5, adult_disability_coef=0.5, child_disability_coef=1, abolish_benefits=CORE_BENEFITS) +full_ubi, full_ubi_params = solve_ft_ubi_reform(pensioner_amount=165, wa_adult_coef=1, child_coef=1, abolish_benefits=CORE_BENEFITS) +full_ubi_dis, full_ubi_dis_params = solve_ft_ubi_reform(pensioner_amount=165, wa_adult_coef=1, child_coef=1, adult_disability_coef=1, child_disability_coef=1, abolish_benefits=CORE_BENEFITS) + +reforms = [half_ubi, half_ubi_dis, full_ubi, full_ubi_dis] +models = [model(reform) for reform in reforms] +reform_names = ["Half", "Half+Dis.", "Full", "Full+Dis."] + +params = [half_ubi_params, half_ubi_dis_params, full_ubi_params, full_ubi_dis_params] +''' +# Convergence graph +fig = go.Figure() + +for i in range(4): + fig.add_trace(go.Scatter(name=reform_names[i], x=params[i][4], y=params[i][5])) + +fig.update_layout(title="Core UBI amount by net cost of reform") +fig.show() +''' + +info = pd.DataFrame() + +def read_param(i): + return np.array([np.round(params[j][i], 2) for j in range(4)]) + +info["Reform"] = reform_names +info["Abled Pensioners"] = [165.00] * 4 +info["Disabled Pensioners"] = info["Abled Pensioners"] + read_param(2) +info["Abled WA Adult"] = read_param(0) +info["Disabled WA Adult"] = read_param(0) + read_param(2) +info["Abled Child"] = read_param(1) +info["Disabled Child"] = read_param(1) + read_param(3) + +baseline = model() +period = "2020-10-10" + +households = baseline.calculate("household_weight", period) + +def net_cost(reform): + return np.sum((reform.calculate("household_net_income_ahc", period) - baseline.calculate("household_net_income_ahc", period)) * households) * 52 + +net_costs = [gbp(net_cost(reform)) for reform in models] + +info["Net cost"] = net_costs + +info.set_index("Reform", inplace=True) + +display(info) + +## Distributional effects + +### Effects on income deciles + +We see that the outcomes of all proposed basic income reforms are progressive. + +from plotly import graph_objects as go +bars = [] + +for reform_model, reform_name in zip(models, reform_names): + reform_df = pd.DataFrame() + reform_df["net_gain"] = (reform_model.calculate("household_net_income_ahc", period) - baseline.calculate("household_net_income_ahc", period)) + reform_df["weight"] = baseline.calculate("household_weight", period) + reform_df["household_income"] = baseline.calculate("household_income", period) + reform_df["decile"], bins = pd.qcut(reform_df["household_income"], 10, retbins=True, duplicates="drop") + reform_df = reform_df.groupby(by="decile").mean() + bars.append(go.Bar(name=reform_name, x=np.arange(1, 11), y=reform_df["net_gain"])) + +fig = go.Figure(data=bars) +fig.update_layout(barmode='group', title="Average net gain per household income decile", xaxis_title="Income decile", yaxis_title="Average net gain per week", xaxis=dict(tickvals=np.arange(1, 11)), yaxis=dict(tickprefix="£")) +fig.show() + +All reform simulations give an average net gain to the bottom six household deciles, with the burden shouldered primarily by the top two deciles. We see also the change to individual components of household income and expenditure - showing the sources of the overall changes shown above, in the basic income payments and National Insurance removal. + +import seaborn as sns + +bars = [] + +variables = [ + "benunit_income_tax", + "benunit_NI", + "benunit_earnings", + "benunit_pension_income", + "benunit_interest", + "benunit_state_pension", + "working_tax_credit", + "child_tax_credit", + "JSA_income", + "pension_credit", + "housing_benefit", + "universal_credit", + "income_support", + "benunit_misc" +] + +vars_full = [ + "Income Tax", + "National Insurance", + "Earnings", + "Pension income", + "Investment income", + "State Pension", + "Working Tax Credit", + "Child Tax Credit", + "Jobseeker's Allowance", + "Pension Credit", + "Housing Benefit", + "Universal Credit", + "Income Support", + "Other income", + "Basic Income" +] + +i = 0 +colours = sns.color_palette("deep", len(variables) + 1) +var_color = {var: (colour[0] * 255, colour[1] * 255, colour[2] * 255) for var, colour in zip(variables + ["basic_income"], colours)} + +baseline = model() +baseline_df = pd.DataFrame() +baseline_df["benunit_income"] = baseline.calculate("benunit_income", period) +_, bins = pd.qcut(baseline_df["benunit_income"], 10, retbins=True, duplicates="drop") +for sim, reform_name in zip([model()] + models, ["Baseline"] + reform_names): + reform_df = pd.DataFrame() + reform_df["weight"] = sim.calculate("benunit_weight", period) + reform_df["benunit_income"] = sim.calculate("benunit_income", period) + reform_df["decile"] = pd.cut(baseline_df["benunit_income"], bins) + widths = bins[1:] - bins[:-1] + for var in variables: + reform_df[var] = sim.calculate(var, period) + if reform_name != "Baseline": + reform_df["basic_income"] = sim.calculate("benunit_basic_income", period) + else: + reform_df["basic_income"] = np.zeros_like(reform_df["weight"]) + reform_df = reform_df.groupby(by="decile").mean() + total_reform = - reform_df["benunit_income_tax"] - reform_df["benunit_NI"] + for var, full_name in zip(variables + ["basic_income"], vars_full): + bars.append(go.Bar(name=full_name, marker_color=f"rgb{var_color[var]}", x=np.arange(1, 11), y=reform_df[var], offsetgroup=i, base=total_reform)) + total_reform += np.array(reform_df[var]) + i += 1 + +fig = go.Figure(data=bars) +fig.update_layout(barmode='group', title="Net change to family finance", xaxis_title="Income decile", yaxis_title="Average net change per week", xaxis=dict(tickvals=np.arange(1, 11)), yaxis=dict(tickprefix="£")) +fig.show() + +### Intra-decile changes to household income +While we have seen the broadly progressive effect on average members of each decile, that does not imply that members of each decile are affected equally. Each decile has a range of outcomes, primarily due to different compositions of household members, income sources and other circumstances. + +from ipywidgets.widgets import Tab + +figs = [] + +for reform, reform_name in zip(models, reform_names): + fig = go.FigureWidget() + reform_df = pd.DataFrame() + reform_df["baseline_household_income"] = np.maximum(0, baseline.calculate("equiv_household_net_income_bhc", period)) + reform_df["household_income_rel_change"] = (np.maximum(0, reform.calculate("equiv_household_net_income_bhc", period)) - reform_df["baseline_household_income"]) / reform_df["baseline_household_income"] + reform_df["decile"] = pd.qcut(reform_df["baseline_household_income"], 10, duplicates="drop", labels=False) + + change_bin_names = ["Decrease more than 5%", "Decrease less than 5%", "Gain less than 5%", "Gain more than 5%"] + change_bin_bands = [[-np.inf, -0.05], [-0.05, 0], [0, 0.05], [0.05, np.inf]] + decile_names = list(map(str, range(1, 11))) + COLORS = [ + "#004ba0", # Dark blue. + "#63a4ff", # Light blue. + "#ffc046", # Light amber. + "#c56000", # Medium amber. + ] + i = 0 + for name, bands in zip(change_bin_names, change_bin_bands): + percent_in_bin = [] + for decile in range(10): + total_decile_weight = np.sum(np.where(reform_df["decile"] == decile, households, 0)) + decile_weight_in_change_band = np.sum(np.where((reform_df["decile"] == decile) & (reform_df["household_income_rel_change"] > bands[0]) & (reform_df["household_income_rel_change"] <= bands[1]), households, 0)) + if name is "Gain more than 5%": + decile_weight_in_change_band += np.sum(np.where((reform_df["decile"] == decile) & (reform_df["household_income_rel_change"] > bands[0]) & np.isinf(reform_df["household_income_rel_change"]), households, 0)) + percent_in_bin += [100 * (decile_weight_in_change_band / total_decile_weight)] + fig.add_trace(go.Bar(orientation="h", y=decile_names, x=percent_in_bin, name=name, marker_color=COLORS[3-i])) + i += 1 + + fig.update_layout(barmode="stack", yaxis_title="Household income decile", xaxis_title="Distribution of outcomes", title=reform_name + " - outcome distribution by decile", yaxis=dict(tickvals=np.arange(1, 11))) + figs += [fig] + +output = [fig.show() for fig in figs] +''' +plot = Tab(figs) +[plot.set_title(i, name) for i, name in zip(range(4), reform_names)] +plot''' + +### Inequality +We see that all reforms substantially reduce inequality as measured by the Gini index. + +import microdf as mdf + +def percent_reduction(before, after): + return (after - before) / before + +gini_reductions = [] + +for reformed in models: + household_net_bhc = pd.DataFrame() + household_net_bhc["w"] = baseline.calculate( + "household_weight", period + ) * baseline.calculate("people_in_household", period) + household_net_bhc["baseline"] = baseline.calculate( + "equiv_household_net_income_bhc", period + ) + household_net_bhc["reform"] = reformed.calculate( + "equiv_household_net_income_bhc", period + ) + baseline_gini = mdf.gini(household_net_bhc, "baseline", w="w") + reform_gini = mdf.gini(household_net_bhc, "reform", w="w") + gini_reduction = percent_reduction(baseline_gini, reform_gini) + gini_reductions.append(gini_reduction * 100) + +fig = px.bar(x=reform_names, y=gini_reductions, title="Gini reduction") +fig.update_yaxes(ticksuffix="%") +fig.update_layout(xaxis_title="Reform", yaxis_title="Percentage reduction") +fig.show() + +## Poverty +### Effects on core demographics +We also see substantial reductions in elderly, working-age and child poverty, with child poverty receiving the strongest reduction. The disability supplements have a small effect on working-age and child poverty, but a larger effect on senior poverty - likely caused by the higher rate of disability among the elderly. + +from plotly import graph_objects as go +from plotly.subplots import make_subplots + +def poverty_rate(sim, cross_section_var, mode="bhc", period="2020-09-10"): + return np.sum( + sim.calculate("in_poverty_" + mode, period) + * sim.calculate(cross_section_var, period) + * sim.calculate("household_weight", period) + ) / np.sum( + sim.calculate(cross_section_var, period) + * sim.calculate("household_weight", period) + ) + +bars = [] + +poverty_vars = [ + "seniors", + "working_age_adults", + "children" +] + +poverty_names = [ + "Senior citizens", + "Working-age adults", + "Children" +] + +reform_sims = models + +fig = make_subplots(rows=1, cols=2, + subplot_titles=("BHC Poverty", "AHC Poverty")) + +for poverty_var, poverty_name in zip(poverty_vars, poverty_names): + poverty_reductions = [] + baseline_rate = poverty_rate(baseline, f"{poverty_var}_in_household", + period=period) + for sim, name in zip(reform_sims, reform_names): + new_rate = poverty_rate(sim, f"{poverty_var}_in_household", + period=period) + relative_change = (new_rate - baseline_rate) / baseline_rate * 100 + poverty_reductions.append(relative_change) + fig.add_trace(go.Bar(name=poverty_name + " BHC", x=np.arange(1, 5), + y=poverty_reductions), row=1, col=1) + +for poverty_var, poverty_name in zip(poverty_vars, poverty_names): + poverty_reductions = [] + baseline_rate = poverty_rate(baseline, f"{poverty_var}_in_household", + period=period, mode="ahc") + for sim, name in zip(reform_sims, reform_names): + new_rate = poverty_rate(sim, f"{poverty_var}_in_household", + period=period, mode="ahc") + relative_change = (new_rate - baseline_rate) / baseline_rate * 100 + poverty_reductions.append(relative_change) + fig.add_trace(go.Bar(name=poverty_name + " AHC", x=np.arange(1, 5), + y=poverty_reductions), + row=1, col=2) + +fig.update_layout(title_text="Changes to absolute poverty rates", + yaxis=dict(ticksuffix="%")) + +fig.show() + +### Poverty reduction by circumstance +We see the effects on specific demographics, for Reform 1: + +from plotly import graph_objects as go +from plotly.subplots import make_subplots + +def poverty_rate(sim, cross_section_var, period="2020-09-10"): + return np.sum( + sim.calculate("benunit_in_poverty_bhc", period) + * sim.calculate(cross_section_var, period) + * sim.calculate("benunit_weight", period) + * sim.calculate("people_in_benunit", period) + ) / np.sum( + sim.calculate(cross_section_var, period) + * sim.calculate("benunit_weight", period) + * sim.calculate("people_in_benunit", period) + ) + +bars = [] + +poverty_vars = [ + "benunit_receiving_disability_benefits", + "benunit_receiving_income_support", + "benunit_receiving_tax_credits", + "couple_childless_benunit", + "couple_parents_benunit", + "self_emp_benunit", + "capital_benunit" +] + +period = "2020-10-28" + +baseline = model() + +fig = go.Figure() + +for poverty_var in poverty_vars: + poverty_reductions = [] + baseline_rate = poverty_rate(baseline, f"{poverty_var}", period=period) + for sim, name in zip(reform_sims, reform_names): + new_rate = poverty_rate(sim, f"{poverty_var}", period=period) + relative_change = (new_rate - baseline_rate) / baseline_rate * 100 + poverty_reductions.append(relative_change) + fig.add_trace(go.Bar(name=poverty_var.replace("_", " "), + x=np.arange(1, 5), y=poverty_reductions)) + +fig.update_layout(title_text="Changes to absolute poverty rates, BHC", + yaxis=dict(ticksuffix="%")) + +fig.show() + +## Marginal Tax Rates +### Baseline MTRs + +We see the current marginal tax rates on individuals: + +from openfisca_uk.tools.simulation import entity_df, model, calc_mtr +import warnings +warnings.filterwarnings('ignore') +mtr = calc_mtr() +sim = model() +adults = entity_df(sim, entity="person") +adults["gross_income"] *= 52 +adults["MTR"] = mtr * 100 +fig = px.scatter(data_frame=adults, x="gross_income", y="MTR", opacity=0.05) + +fig.update_layout(xaxis_title="Annual earnings", + yaxis_title="Marginal tax rate", + xaxis=dict(range=[-5000, 200000], tickprefix="£"), + yaxis=dict(range=[-10, 110], ticksuffix="%")) +fig.show() + +Note that annual income is composed of a number of sources including employment, self-employment, pensions, investment and benefits. We calculate the effective marginal tax rate for each individual by asking the following question: if an individual's (employer-paid) earnings increased by £25 per week, what percentage of that £25 would not appear in the individual's new family net income per week. There is a wide variety of reasons that the additional pound would not be fully preserved, whether part of it goes to Income Tax, National Insurance, or is cancelled out by a reduction in means-tested benefits such as the Tax Credits (41% withdrawal rate), Housing Benefit (65% withdrawal rate), Pension Credit (as high as 100% in low-income individuals) or other benefits and taxes. Where diagonal lines appear, these do not correlate to any specific policy but are instead the result of a non-infinitesimal increase being used: if the bonus takes the individual over a boundary, then parts of the bonus will have different marginal tax rates and therefore the individual MTR will be the average of these. In simulations of the UBI reforms, the marginal tax rate for all individuals with taxable income becomes 50%. + +### Changes to MTR statistics + +mtr = calc_mtr() +new_mtr = calc_mtr(reforms[0]) + +mtr = mtr[np.isfinite(mtr) * (baseline.calculate("is_adult", period) > 0)] +new_mtr = new_mtr[np.isfinite(new_mtr) * + (baseline.calculate("is_adult", period) > 0)] + +mtr_info = pd.DataFrame() +mtr_info["System"] = ["Baseline", "Reform"] +mtr_info["1st Percentile"] = [np.percentile(mtr, 1), + np.percentile(new_mtr, 1)] +mtr_info["10th Percentile"] = [np.percentile(mtr, 10), + np.percentile(new_mtr, 10)] +mtr_info["Median"] = [np.median(mtr), np.median(new_mtr)] +mtr_info["90th Percentile"] = [np.percentile(mtr, 90), + np.percentile(new_mtr, 90)] +mtr_info["99th Percentile"] = [np.percentile(mtr, 99), + np.percentile(new_mtr, 99)] +mtr_info["Mean"] = [np.average(mtr), np.average(new_mtr)] + +mtr_info.set_index("System", inplace=True) +display(mtr_info) \ No newline at end of file diff --git a/jb/_config.yml b/jb/_config.yml index e3e8bcc..074f16f 100644 --- a/jb/_config.yml +++ b/jb/_config.yml @@ -22,3 +22,6 @@ sphinx: config: html_js_files: - https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.4/require.min.js + +execute: + execute_notebooks: 'off' \ No newline at end of file diff --git a/jb/_toc.yml b/jb/_toc.yml index 61d1dd0..15c1af9 100644 --- a/jb/_toc.yml +++ b/jb/_toc.yml @@ -4,3 +4,5 @@ # And put the UBI Center homepage at the bottom. - url: https://ubicenter.org title: UBI Center home +# Add working UK flat tax UBI notebook +- file: flat-tax \ No newline at end of file diff --git a/jb/flat-tax.ipynb b/jb/flat-tax.ipynb new file mode 100644 index 0000000..ebea390 --- /dev/null +++ b/jb/flat-tax.ipynb @@ -0,0 +1,100062 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Universal Basic Income in the United Kingdom\n", + "\n", + "## Introduction\n", + "\n", + "The British government has sought to simplify the benefit system by consolidating six benefits into a single payment, known as Universal Credit. Despite the name, Universal Credit is not universal, as factors such as income and number of children affect the amount of benefit a claimant will receive. The rollout of Universal Credit has been plagued with problems, potentially opening the door to a reconsideration of the UK’s benefit system. Additionally, the COVID-19 pandemic has possibly altered the British public’s perception of the current benefits system. In April 2020, 51% percent of British adults said they would be supportive of the introduction of a Universal Basic Income (YouGov, 2020).\n", + "\n", + "Using the OpenFisca microsimulation framework, UK taxes and benefits have been modelled in OpenFisca-UK. Four basic income simulations were designed and simulated using this model, using data from the 2018/19 Family Resources Survey (FRS). The four static microsimulations implemented different types of basic income systems, funded by different tax reforms and benefit changes.\n", + "\n", + "## Reforms\n", + "\n", + "Four reforms were analysed, each with a different distribution of basic income payments, but all following a core strategy. In common between all reforms are:\n", + "\n", + "- Funding from a 50% flat Income Tax (National Insurance is removed)\n", + "- Removal of means-tested benefits\n", + " - Jobseeker’s Allowance (contribution-based and income-based)\n", + " - Income Support\n", + " - Pension Credit\n", + " - State Pension\n", + " - Working Tax Credit\n", + " - Child Tax Credit\n", + " - Child Benefit\n", + " - Housing Benefit\n", + "- A basic income of £165 per week for citizens over State Pension age\n", + "\n", + "From this, each of the reforms explores an intersection of two variables in the basic income:\n", + "\n", + "1. Whether children should receive half of the adult UBI, or the full amount\n", + "2. Whether a disability supplement should exist\n", + "\n", + " - In these reforms, we reverse the adult-child ratio of the basic income for disability to equalise overall basic income among the disabled.\n", + "\n", + "### Reform cross-sections\n", + "\n", + "| | | Adult-child ratio | | | |\n", + "|-----------------------|--------|:-----------------:|:------------:|---|---|\n", + "| | | 2:1 | 1:1 | | |\n", + "| Disability supplement | None | half_ubi | full_ubi | | |\n", + "| | Exists | half_dis_ubi | full_dis_ubi | | |\n", + "\n", + "### Weekly amounts\n", + "\n", + "We decide weekly amounts by applying the changes constant across all reforms, and then using the amounts that are constrained by the cross-sectional parameters and produce a budget neutral reform.\n", + "\n", + "## Reform budgets\n", + "We can see the net cost of each reform to be negative - each reform generates a budget surplus." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "scrolled": true, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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Abled PensionersDisabled PensionersAbled WA AdultDisabled WA AdultAbled ChildDisabled ChildNet cost
Reform
Half165.0165.00136.72136.7268.3668.36-£320m
Half+Dis.165.0221.64113.28169.9256.64169.92-£300m
Full165.0165.00116.02116.02116.02116.02-£970m
Full+Dis.165.0250.9485.94171.8885.94171.88-£500m
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" + ], + "text/plain": [ + " Abled Pensioners Disabled Pensioners Abled WA Adult \\\n", + "Reform \n", + "Half 165.0 165.00 136.72 \n", + "Half+Dis. 165.0 221.64 113.28 \n", + "Full 165.0 165.00 116.02 \n", + "Full+Dis. 165.0 250.94 85.94 \n", + "\n", + " Disabled WA Adult Abled Child Disabled Child Net cost \n", + "Reform \n", + "Half 136.72 68.36 68.36 -£320m \n", + "Half+Dis. 169.92 56.64 169.92 -£300m \n", + "Full 116.02 116.02 116.02 -£970m \n", + "Full+Dis. 171.88 85.94 171.88 -£500m " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from openfisca_uk.tools.simulation import model, entity_df\n", + "from openfisca_uk.tools.reforms import solve_ft_ubi_reform\n", + "import numpy as np\n", + "from plotly import express as px\n", + "from plotly import graph_objects as go\n", + "import pandas as pd\n", + "from IPython.display import display\n", + "from rdbl import gbp\n", + "import warnings\n", + "# warnings.simplefilter('ignore')\n", + "\n", + "CORE_BENEFITS = [\n", + " \"child_benefit\",\n", + " \"income_support\",\n", + " \"JSA_contrib\",\n", + " \"JSA_income\",\n", + " \"child_tax_credit\",\n", + " \"working_tax_credit\",\n", + " \"universal_credit\",\n", + " \"state_pension\",\n", + " \"pension_credit\",\n", + " \"housing_benefit\",\n", + " \"ESA_income\",\n", + " \"ESA_contrib\"\n", + "]\n", + "\n", + "half_ubi, half_ubi_params = solve_ft_ubi_reform(pensioner_amount=165, wa_adult_coef=1, child_coef=0.5, abolish_benefits=CORE_BENEFITS)\n", + "half_ubi_dis, half_ubi_dis_params = solve_ft_ubi_reform(pensioner_amount=165, wa_adult_coef=1, child_coef=0.5, adult_disability_coef=0.5, child_disability_coef=1, abolish_benefits=CORE_BENEFITS)\n", + "full_ubi, full_ubi_params = solve_ft_ubi_reform(pensioner_amount=165, wa_adult_coef=1, child_coef=1, abolish_benefits=CORE_BENEFITS)\n", + "full_ubi_dis, full_ubi_dis_params = solve_ft_ubi_reform(pensioner_amount=165, wa_adult_coef=1, child_coef=1, adult_disability_coef=1, child_disability_coef=1, abolish_benefits=CORE_BENEFITS)\n", + "\n", + "reforms = [half_ubi, half_ubi_dis, full_ubi, full_ubi_dis]\n", + "models = [model(reform) for reform in reforms]\n", + "reform_names = [\"Half\", \"Half+Dis.\", \"Full\", \"Full+Dis.\"]\n", + "\n", + "params = [half_ubi_params, half_ubi_dis_params, full_ubi_params, full_ubi_dis_params]\n", + "'''\n", + "# Convergence graph\n", + "fig = go.Figure()\n", + "\n", + "for i in range(4):\n", + " fig.add_trace(go.Scatter(name=reform_names[i], x=params[i][4], y=params[i][5]))\n", + "\n", + "fig.update_layout(title=\"Core UBI amount by net cost of reform\")\n", + "fig.show()\n", + "'''\n", + "\n", + "info = pd.DataFrame()\n", + "\n", + "def read_param(i):\n", + " return np.array([np.round(params[j][i], 2) for j in range(4)])\n", + "\n", + "info[\"Reform\"] = reform_names\n", + "info[\"Abled Pensioners\"] = [165.00] * 4\n", + "info[\"Disabled Pensioners\"] = info[\"Abled Pensioners\"] + read_param(2)\n", + "info[\"Abled WA Adult\"] = read_param(0)\n", + "info[\"Disabled WA Adult\"] = read_param(0) + read_param(2)\n", + "info[\"Abled Child\"] = read_param(1)\n", + "info[\"Disabled Child\"] = read_param(1) + read_param(3)\n", + "\n", + "baseline = model()\n", + "period = \"2020-10-10\"\n", + "\n", + "households = baseline.calculate(\"household_weight\", period)\n", + "\n", + "def net_cost(reform):\n", + " return np.sum((reform.calculate(\"household_net_income_ahc\", period) - baseline.calculate(\"household_net_income_ahc\", period)) * households) * 52\n", + "\n", + "net_costs = [gbp(net_cost(reform)) for reform in models]\n", + "\n", + "info[\"Net cost\"] = net_costs\n", + "\n", + "info.set_index(\"Reform\", inplace=True)\n", + "\n", + "display(info)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Distributional effects\n", + "\n", + "### Effects on income deciles\n", + "\n", + "We see that the outcomes of all proposed basic income reforms are progressive." + ] + }, + { + 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from plotly import graph_objects as go\n", + "bars = []\n", + "\n", + "for reform_model, reform_name in zip(models, reform_names):\n", + " reform_df = pd.DataFrame()\n", + " reform_df[\"net_gain\"] = (reform_model.calculate(\"household_net_income_ahc\", period) - baseline.calculate(\"household_net_income_ahc\", period))\n", + " reform_df[\"weight\"] = baseline.calculate(\"household_weight\", period)\n", + " reform_df[\"household_income\"] = baseline.calculate(\"household_income\", period)\n", + " reform_df[\"decile\"], bins = pd.qcut(reform_df[\"household_income\"], 10, retbins=True, duplicates=\"drop\")\n", + " reform_df = reform_df.groupby(by=\"decile\").mean()\n", + " bars.append(go.Bar(name=reform_name, x=np.arange(1, 11), y=reform_df[\"net_gain\"]))\n", + " \n", + "fig = go.Figure(data=bars)\n", + "fig.update_layout(barmode='group', title=\"Average net gain per household income decile\", xaxis_title=\"Income decile\", yaxis_title=\"Average net gain per week\", xaxis=dict(tickvals=np.arange(1, 11)), yaxis=dict(tickprefix=\"£\"))\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "All reform simulations give an average net gain to the bottom six household deciles, with the burden shouldered primarily by the top two deciles. We see also the change to individual components of household income and expenditure - showing the sources of the overall changes shown above, in the basic income payments and National Insurance removal." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "scrolled": false, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "base": [ + -0.0025677757803350687, + -0.009928335435688496, + -0.3472626805305481, + -6.833992004394531, + -26.399566650390625, + -46.059181213378906, + -75.43014526367188, + -118.54783630371094, + -196.560546875, + -709.1985473632812 + ], + "marker": { + "color": "rgb(76.0, 114.0, 176.0)" + }, + "name": "Income Tax", + "offsetgroup": "0", + "type": "bar", + "x": [ + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10 + ], + "y": [ + 0, + 0, + 0.019894618541002274, + 2.9066781997680664, + 15.671069145202637, + 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Each decile has a range of outcomes, primarily due to different compositions of household members, income sources and other circumstances." + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "marker": { + "color": "#c56000" + }, + "name": "Decrease more than 5%", + "orientation": "h", + "type": "bar", + "uid": "e48b07dc-e248-47f0-ae7d-51a2af3a2c5a", + "x": [ + 2.088364027440548, + 21.22325748205185, + 29.195964336395264, + 36.21928095817566, + 35.82579791545868, + 41.660869121551514, + 41.03911221027374, + 57.80320763587952, + 69.14820671081543, + 63.73894810676575 + ], + "y": [ + "1", + "2", + "3", + "4", + "5", + "6", + "7", + "8", + "9", + "10" + ] + }, + { + "marker": { + "color": "#ffc046" + }, + "name": "Decrease less than 5%", + "orientation": "h", + "type": "bar", + "uid": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import microdf as mdf\n", + "\n", + "def percent_reduction(before, after):\n", + " return (after - before) / before\n", + "\n", + "gini_reductions = []\n", + "\n", + "for reformed in models:\n", + " household_net_bhc = pd.DataFrame()\n", + " household_net_bhc[\"w\"] = baseline.calculate(\n", + " \"household_weight\", period\n", + " ) * baseline.calculate(\"people_in_household\", period)\n", + " household_net_bhc[\"baseline\"] = baseline.calculate(\n", + " \"equiv_household_net_income_bhc\", period\n", + " )\n", + " household_net_bhc[\"reform\"] = reformed.calculate(\n", + " \"equiv_household_net_income_bhc\", period\n", + " )\n", + " baseline_gini = mdf.gini(household_net_bhc, \"baseline\", w=\"w\")\n", + " reform_gini = mdf.gini(household_net_bhc, \"reform\", w=\"w\")\n", + " gini_reduction = percent_reduction(baseline_gini, reform_gini)\n", + " gini_reductions.append(gini_reduction * 100)\n", + "\n", + "fig = px.bar(x=reform_names, y=gini_reductions, title=\"Gini reduction\")\n", + "fig.update_yaxes(ticksuffix=\"%\")\n", + "fig.update_layout(xaxis_title=\"Reform\", yaxis_title=\"Percentage reduction\")\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Poverty\n", + "### Effects on core demographics\n", + "We also see substantial reductions in elderly, working-age and child poverty, with child poverty receiving the strongest reduction. The disability supplements have a small effect on working-age and child poverty, but a larger effect on senior poverty - likely caused by the higher rate of disability among the elderly." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "name": "Senior citizens BHC", + "type": "bar", + "x": [ + 1, + 2, + 3, + 4 + ], + "xaxis": "x", + "y": [ + -15.891688942282222, + -56.20026312635361, + -15.134294785136701, + -64.47442322647542 + ], + "yaxis": "y" + }, + { + "name": "Working-age adults BHC", + "type": "bar", + "x": [ + 1, + 2, + 3, + 4 + ], + "xaxis": "x", + "y": [ + -41.433493074475415, + -37.555320501022145, + -45.35313472108924, + -36.55154170273908 + ], + "yaxis": "y" + }, + { + "name": "Children BHC", + "type": "bar", + "x": [ + 1, + 2, + 3, + 4 + ], + "xaxis": "x", + "y": [ + 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from plotly import graph_objects as go\n", + "from plotly.subplots import make_subplots\n", + "\n", + "def poverty_rate(sim, cross_section_var, mode=\"bhc\", period=\"2020-09-10\"):\n", + " return np.sum(\n", + " sim.calculate(\"in_poverty_\" + mode, period)\n", + " * sim.calculate(cross_section_var, period)\n", + " * sim.calculate(\"household_weight\", period)\n", + " ) / np.sum(\n", + " sim.calculate(cross_section_var, period)\n", + " * sim.calculate(\"household_weight\", period)\n", + " )\n", + "\n", + "bars = []\n", + "\n", + "poverty_vars = [\n", + " \"seniors\",\n", + " \"working_age_adults\",\n", + " \"children\"\n", + "]\n", + "\n", + "poverty_names = [\n", + " \"Senior citizens\",\n", + " \"Working-age adults\",\n", + " \"Children\"\n", + "]\n", + "\n", + "reform_sims = models\n", + "\n", + "fig = make_subplots(rows=1, cols=2,\n", + " subplot_titles=(\"BHC Poverty\", \"AHC Poverty\"))\n", + "\n", + "for poverty_var, poverty_name in zip(poverty_vars, poverty_names):\n", + " poverty_reductions = []\n", + " baseline_rate = poverty_rate(baseline, f\"{poverty_var}_in_household\",\n", + " period=period)\n", + " for sim, name in zip(reform_sims, reform_names):\n", + " new_rate = poverty_rate(sim, f\"{poverty_var}_in_household\",\n", + " period=period)\n", + " relative_change = (new_rate - baseline_rate) / baseline_rate * 100\n", + " poverty_reductions.append(relative_change)\n", + " fig.add_trace(go.Bar(name=poverty_name + \" BHC\", x=np.arange(1, 5),\n", + " y=poverty_reductions), row=1, col=1)\n", + "\n", + "for poverty_var, poverty_name in zip(poverty_vars, poverty_names):\n", + " poverty_reductions = []\n", + " baseline_rate = poverty_rate(baseline, f\"{poverty_var}_in_household\",\n", + " period=period, mode=\"ahc\")\n", + " for sim, name in zip(reform_sims, reform_names):\n", + " new_rate = poverty_rate(sim, f\"{poverty_var}_in_household\",\n", + " period=period, mode=\"ahc\")\n", + " relative_change = (new_rate - baseline_rate) / baseline_rate * 100\n", + " poverty_reductions.append(relative_change)\n", + " fig.add_trace(go.Bar(name=poverty_name + \" AHC\", x=np.arange(1, 5),\n", + " y=poverty_reductions),\n", + " row=1, col=2)\n", + " \n", + "fig.update_layout(title_text=\"Changes to absolute poverty rates\",\n", + " yaxis=dict(ticksuffix=\"%\"))\n", + " \n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Poverty reduction by circumstance\n", + "We see the effects on specific demographics, for Reform 1:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "name": "benunit receiving disability benefits", + "type": "bar", + "x": [ + 1, + 2, + 3, + 4 + ], + "y": [ + -63.01988248127527, + 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from plotly import graph_objects as go\n", + "from plotly.subplots import make_subplots\n", + "\n", + "def poverty_rate(sim, cross_section_var, period=\"2020-09-10\"):\n", + " return np.sum(\n", + " sim.calculate(\"benunit_in_poverty_bhc\", period)\n", + " * sim.calculate(cross_section_var, period)\n", + " * sim.calculate(\"benunit_weight\", period)\n", + " * sim.calculate(\"people_in_benunit\", period)\n", + " ) / np.sum(\n", + " sim.calculate(cross_section_var, period)\n", + " * sim.calculate(\"benunit_weight\", period)\n", + " * sim.calculate(\"people_in_benunit\", period)\n", + " )\n", + "\n", + "bars = []\n", + "\n", + "poverty_vars = [\n", + " \"benunit_receiving_disability_benefits\",\n", + " \"benunit_receiving_income_support\",\n", + " \"benunit_receiving_tax_credits\",\n", + " \"couple_childless_benunit\",\n", + " \"couple_parents_benunit\",\n", + " \"self_emp_benunit\",\n", + " \"capital_benunit\"\n", + "]\n", + "\n", + "period = \"2020-10-28\"\n", + "\n", + "baseline = model()\n", + "\n", + "fig = go.Figure()\n", + "\n", + "for poverty_var in poverty_vars:\n", + " poverty_reductions = []\n", + " baseline_rate = poverty_rate(baseline, f\"{poverty_var}\", period=period)\n", + " for sim, name in zip(reform_sims, reform_names):\n", + " new_rate = poverty_rate(sim, f\"{poverty_var}\", period=period)\n", + " relative_change = (new_rate - baseline_rate) / baseline_rate * 100\n", + " poverty_reductions.append(relative_change)\n", + " fig.add_trace(go.Bar(name=poverty_var.replace(\"_\", \" \"),\n", + " x=np.arange(1, 5), y=poverty_reductions))\n", + " \n", + "fig.update_layout(title_text=\"Changes to absolute poverty rates, BHC\",\n", + " yaxis=dict(ticksuffix=\"%\"))\n", + " \n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Marginal Tax Rates\n", + "### Baseline MTRs\n", + "\n", + "We see the current marginal tax rates on individuals:" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "scrolled": false, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "gross_income=%{x}
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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from openfisca_uk.tools.simulation import entity_df, model, calc_mtr\n", + "import warnings\n", + "warnings.filterwarnings('ignore')\n", + "mtr = calc_mtr()\n", + "sim = model()\n", + "adults = entity_df(sim, entity=\"person\")\n", + "adults[\"gross_income\"] *= 52\n", + "adults[\"MTR\"] = mtr * 100\n", + "fig = px.scatter(data_frame=adults, x=\"gross_income\", y=\"MTR\", opacity=0.05)\n", + "\n", + "fig.update_layout(xaxis_title=\"Annual earnings\",\n", + " yaxis_title=\"Marginal tax rate\",\n", + " xaxis=dict(range=[-5000, 200000], tickprefix=\"£\"),\n", + " yaxis=dict(range=[-10, 110], ticksuffix=\"%\"))\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that annual income is composed of a number of sources including employment, self-employment, pensions, investment and benefits. We calculate the effective marginal tax rate for each individual by asking the following question: if an individual's (employer-paid) earnings increased by £25 per week, what percentage of that £25 would not appear in the individual's new family net income per week. There is a wide variety of reasons that the additional pound would not be fully preserved, whether part of it goes to Income Tax, National Insurance, or is cancelled out by a reduction in means-tested benefits such as the Tax Credits (41% withdrawal rate), Housing Benefit (65% withdrawal rate), Pension Credit (as high as 100% in low-income individuals) or other benefits and taxes. Where diagonal lines appear, these do not correlate to any specific policy but are instead the result of a non-infinitesimal increase being used: if the bonus takes the individual over a boundary, then parts of the bonus will have different marginal tax rates and therefore the individual MTR will be the average of these. In simulations of the UBI reforms, the marginal tax rate for all individuals with taxable income becomes 50%." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Changes to MTR statistics" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " 1st Percentile 10th Percentile Median 90th Percentile \\\n", + "System \n", + "Baseline 0.000000 0.0 0.2 0.448503 \n", + "Reform 0.499998 0.5 0.5 0.500000 \n", + "\n", + " 99th Percentile Mean \n", + "System \n", + "Baseline 1.000000 0.230870 \n", + "Reform 0.500002 0.499441 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mtr = calc_mtr()\n", + "new_mtr = calc_mtr(reforms[0])\n", + "\n", + "mtr = mtr[np.isfinite(mtr) * (baseline.calculate(\"is_adult\", period) > 0)]\n", + "new_mtr = new_mtr[np.isfinite(new_mtr) *\n", + " (baseline.calculate(\"is_adult\", period) > 0)]\n", + "\n", + "mtr_info = pd.DataFrame()\n", + "mtr_info[\"System\"] = [\"Baseline\", \"Reform\"]\n", + "mtr_info[\"1st Percentile\"] = [np.percentile(mtr, 1),\n", + " np.percentile(new_mtr, 1)]\n", + "mtr_info[\"10th Percentile\"] = [np.percentile(mtr, 10),\n", + " np.percentile(new_mtr, 10)]\n", + "mtr_info[\"Median\"] = [np.median(mtr), np.median(new_mtr)]\n", + "mtr_info[\"90th Percentile\"] = [np.percentile(mtr, 90),\n", + " np.percentile(new_mtr, 90)]\n", + "mtr_info[\"99th Percentile\"] = [np.percentile(mtr, 99),\n", + " np.percentile(new_mtr, 99)]\n", + "mtr_info[\"Mean\"] = [np.average(mtr), np.average(new_mtr)]\n", + "\n", + "mtr_info.set_index(\"System\", inplace=True)\n", + "display(mtr_info)" + ] + } + ], + "metadata": { + "celltoolbar": "Tags", + "colab": { + "collapsed_sections": [], + "name": "Drop down Graphs and Map", + "provenance": [] + }, + "execution": { + "timeout": 600 + }, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/other_simulations.md b/other_simulations.md new file mode 100644 index 0000000..91359ea --- /dev/null +++ b/other_simulations.md @@ -0,0 +1,40 @@ +# Compass Report + +Title: Basic Income for All: From Desirability to Feasibility ([link](https://www.compassonline.org.uk/publications/basic-income-for-all-from-desirability-to-feasibility/)) + +Authors: Stewart Lansley and Howard Reed + +## Modelling + +Two schemes for implementing UBI were modelled, a fast track and slow track route. Modelling was carried out using the Landman Economics Tax-Tranfer Model, using data from the Family Resources Survey to model direct taxes and benefits and the Living Costs and Food survey to model indirect taxes and benefits. + +## Schemes + +Model 1 is a fast track route for establishing UBI to residents at a basic rate (weekly rates of £40 to children, £60 to adults, £175 to pensioners, total annual cost £28bn). Model 2 is a long-term scheme aimed at improving funding and basic income rates by building a targeted citizens' wealth fund (funded by borrowing, revenue-generating public assets and wealth taxation to the amount of £650bn, able to fund higher weekly rates, with gains mostly going to working-age adults, which increase by £20 per week). The fund is expected to be able to be usable by year 20. + +## Benefit changes + +For means tested benefits, basic income above £25 is counted and therefore reduces payment levels. Child benefit and the state pension are abolished and replaced with the UBI, though both at the basic level are increased in this scheme. + +## Tax changes + +The personal tax allowance is abolished and this portion of income is taxed at the basic rate. The next £11,850 is taxed at 15p to reduce the low-income loser count. All other income tax rates are raised by 3p. National Insurance contributions are converted to a flat tax of 12%. + +## Long-term phasing + +Model 1 is intended for the short term, Model 2 for the long term. Model 2 pays slightly higher weekly rates, made possible by the dividends from the proposed citizens' wealth fund. It is proposed that Model 1 is implemented in one Parliament, and transitions to the more sustainable Model 2 by year 20. + +## Treatment of children + +The child benefit is removed (currently £21.05 for the eldest and £13.95 for additional children, per week), but increased with a UBI replacement of £40 per week in Model 1 and further increased to £50 per week in Model 2. + +## Results + +The results find that: + +- Child poverty falls from 28.7% to 18.1% +- Working-age poverty falls from approx. 20% to 15.7% +- Pensioner poverty falls from approx. 15% to 11.3% +- The Gini coefficient falls from 0.377 to 0.337 +- 75% of households gain and 25% lose income (7% lose more than 5% of income) +- In general, the number of losers among the poorest deciles is very small (0.8%, 3.1% for the 1st and 2nd deciles respectively), and most low deciles make large gains, while deciles 4-8 make small gains and the top decile makes slight losses. \ No newline at end of file