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@gusy
Last active September 8, 2016 09:13
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Cásate con alguien con tu mismo sueldo, o te puede costar caro"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"El modelo lineal por tramos que tenemos en España para el IRPF, o en prácticamente cualquier otro país desarrollado (https://en.wikipedia.org/wiki/Income_tax), tiene algunas cosas curiosas. Por ejemplo, penaliza fiscalmente matrimonios con salarios distintos, o donde solamente trabaja uno de los cónyuges. Y las diferencias no son pequeña, como veremos"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Para demostrarlo comenzamos por incluir los tramos de IRPF "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"%pylab inline\n",
"from ggplot import *\n",
"import pandas as pd\n",
"import numpy as np\n",
"import collections\n",
"brackets = {\n",
" 17707 : 0.2475,\n",
" 33007 : 0.30,\n",
" 53407 : 0.40,\n",
" 120000 : 0.47,\n",
" 175000 : 0.49,\n",
" 300000 : 0.51,\n",
" 999999 : 0.52\n",
"}\n",
"od = sorted(brackets.items())\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Y hacer una pequeña función que nos calcule los impuestos a pagar en función del salario bruto recibido"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"base = 50000\n",
"def calc_irpf(base):\n",
" binf, irpf = 0,0\n",
" for k in od:\n",
" bsup, rate = k\n",
" irpf += (min([bsup, base]) - binf)*rate\n",
" if bsup < base:\n",
" binf = bsup\n",
" else:\n",
" break\n",
" return irpf\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Por ejemplo, una persona con unos ingresos de 25 mil anuales, paga anualmente ..."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"6570.3825"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calc_irpf(25000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Para validar la hipótesis planteamos 3 escenarios:\n",
"* una pareja en la que los dos ganan lo mismo\n",
"* una pareja en uno gana 3 veces más que el otro\n",
"* una pareja en la que solo gana dinero uno"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"total_salaries=np.arange(21)*10000\n",
"even_couple_ratio = 0.5\n",
"unenven_couple_ratio = 0.25\n",
"very_uneven_couple_ratio = 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Considerando ingresos entre 0 y 200 mil euros, pintamos el total que pagan entre los dos miembros en impuestos"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f3c04d035d0>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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C+vfvz65du4iJieHy5cuUKFHC9bmfnx9VqlRhwYIFdOzY0VV+q6yWVatWJU2a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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3c04ceef90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"even_taxes=[calc_irpf(t*even_couple_ratio) + calc_irpf(t*(1-even_couple_ratio)) for t in total_salaries]\n",
"uneven_taxes=[calc_irpf(t*unenven_couple_ratio) + calc_irpf(t*(1-unenven_couple_ratio)) for t in total_salaries]\n",
"very_uneven_taxes =[calc_irpf(t*very_uneven_couple_ratio) + calc_irpf(t*(1-very_uneven_couple_ratio)) for t in total_salaries]\n",
"df=pd.DataFrame({'gross_total': total_salaries, 'uneven_taxes': uneven_taxes, 'even_taxes': even_taxes}).set_index('gross_total')\n",
"df['very_uneven_taxes']=very_uneven_taxes\n",
"df.plot()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Vemos que efectivamente, la pareja en la que sólo uno tiene ingresos (línea roja) está penalizada, pero la escala de ese gráfico no permite extraer información precisa. Calculemos las ganancias netas de cada pareja, y pongamos el impuesto pagado en exceso con la nómina mensual. \n",
"\n",
"De esta forma, si una pareja ingresa 2000 euros en su cuenta mensualmente, y paga 2000 euros de más al año comparado con otra pareja, diremos que paga 1 mes completo de más en ingresos. "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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UqUmqbuCkdnASc9vtdlh0/hC5HpbsO4CvjBkNS4L2AEps62RmVhQFP5kxHTtaWvHXgzVJ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\nH2FWTg5dUlLiHYoQQgghhDLCPghs+fLlXH311bz22mtkZmb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vxuFwMHXqVFJSUqIVm/JU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Vi7di3vv/9+HCJtnqZpSbkyfGHfPr41ZDAuvXWLV7LkbR45RM0fn8Axcgyub92DlpLa6mklS852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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3bfe2607d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<ggplot: (8743484714597)>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df['even_net'] = total_salaries - df.even_taxes\n",
"df['uneven_net'] = total_salaries - df.uneven_taxes\n",
"df['very_uneven_net'] = total_salaries - df.very_uneven_taxes\n",
"df['uneven_loss'] = df['even_net'] - df.uneven_net\n",
"df['very_uneven_loss'] = df['even_net'] - df.very_uneven_net\n",
"df['uneven_loss_in_months'] = df['uneven_loss'] / (df.uneven_net/14)\n",
"df['very_uneven_loss_in_months'] = df['very_uneven_loss'] / (df.very_uneven_net/14)\n",
"df=df.fillna(0)\n",
"uneven = pd.DataFrame({'ingreso_neto_mensual':df.uneven_net/14,\n",
" 'exceso_meses_pagados':df.uneven_loss_in_months,'pareja':'A gana 3 veces lo que B'})\n",
"very_uneven = pd.DataFrame({'ingreso_neto_mensual':df.very_uneven_net/14,\n",
" 'exceso_meses_pagados':df.very_uneven_loss_in_months,'pareja':'Solo uno tiene ingresos'})\n",
"losses=uneven.append(very_uneven)\n",
"\n",
"ggplot(aes(x='ingreso_neto_mensual',y='exceso_meses_pagados',colour='pareja'), data=losses)+geom_line()+theme_bw()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Curiosamente, el efecto es creciente y luego decreciente (cuando los miembros de la pareja equilibrada llegan a los tramos altos la diferencia se va reduciendo)\n",
"\n",
"Sin embargo, para 3000 euros de ingreso neto total, la pareja con ingresos poco balanceados paga en exceso como impuestos la mitad de una nómina. La situación es aun más pronunciada si sólo uno de los miembros de la pareja tiene ingresos. En ese caso, se trabaja para la Hacienda pública 1.5 meses más que una pareja con ingresos balanceados."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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