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Created September 28, 2020 04:40
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Comment on Practical Business Python blog post on Amortization tables
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Rework Practical Business Python post from 21st Nov, 2016\n",
"The original article is at http://pbpython.com/amortization-model.html. Comments indicated that the original code, which strove to avoid explicit loops, contained errors. This notebook is an attempt to provide a clean solution based on python generators."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from IPython.core.pylabtools import figsize\n",
"from datetime import date"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Use a python generator to compute the details of each successive payment period. The generator seems the cleanest way to hide the fundamentally iterative character of the task, and allow easy creation of a pandas data frame."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def compute(principal, rate, payment, additional_payment):\n",
" \"\"\"\n",
" Generator that yields successive period payment details\n",
" \"\"\"\n",
" amount = payment + additional_payment\n",
" while principal > 0:\n",
" period_interest = round(principal * rate, 2)\n",
" principal_reduction = min(principal, amount - period_interest)\n",
" principal = principal - principal_reduction\n",
" yield principal_reduction, period_interest, principal"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `amortization_table` function follows the model of that in the original post, but uses the generator to build the main dataframe. The index is added at the end, once the number of periods to achieve payoff is known."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def amortization_table(interest_rate, years, payments_year, principal, addl_principal=0, start_date=date.today()):\n",
" \"\"\"\n",
" Calculate the amortization schedule given the loan details\n",
"\n",
"\n",
" :param interest_rate: The annual interest rate for this loan\n",
" :param years: Number of years for the loan\n",
" :param payments_year: Number of payments in a year\n",
" :parma principal: Amount borrowed\n",
" :param addl_principal (optional): Additional payments to be made each period. Default 0.\n",
" :param start_date (optional): Start date. Default first of next month if none provided\n",
"\n",
" :return: \n",
" schedule: Amortization schedule as a pandas dataframe\n",
" summary: Pandas dataframe that summarizes the payoff information\n",
" \"\"\"\n",
" #Calculate the fixed payment \n",
" period_rate = interest_rate/(payments_year * 100)\n",
" payment = round(-1 * np.pmt(period_rate, years*payments_year, principal),2)\n",
" \n",
" #Generate the period details schedule\n",
" df = pd.DataFrame(list(compute(principal, period_rate, payment, addl_principal)), columns=[\"Principal\", \"Interest\", \"Balance\"])\n",
" df[\"Additional Payment\"] = addl_principal\n",
" df[\"Total Payment\"] = df[\"Principal\"] + df[\"Interest\"]\n",
" df[\"Cummulative Principal\"] = df[\"Principal\"].cumsum()\n",
" payment_dates = pd.date_range(start_date, periods=len(df.index), freq='MS')\n",
" df.insert(0,\"Date\", payment_dates)\n",
" df.index += 1\n",
" df.index.name = \"Period\"\n",
" \n",
" #Create a summary statistics table\n",
" payoff_date = df[\"Date\"].iloc[-1]\n",
" stats = pd.Series([payoff_date, interest_rate, years, principal, payment, addl_principal, df[\"Interest\"].sum()],\n",
" index=[\"Payoff Date\", \"Interest Rate\", \"Years\", \"Principal\", \"Payment\", \"Additional Payment\", \"Total Interest\"], )\n",
" return df, stats"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Create schedules for 3 parameter sets, following the original post."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"schedule1, stats1 = amortization_table(4.0, 30, 12, 100000, addl_principal=50, start_date=date(2016,1,1))\n",
"schedule2, stats2 = amortization_table(5.0, 30, 12, 100000, addl_principal=200, start_date=date(2016,1,1))\n",
"schedule3, stats3 = amortization_table(4.0, 15, 12, 100000, addl_principal=0, start_date=date(2016,1,1))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Payoff Date</th>\n",
" <th>Interest Rate</th>\n",
" <th>Years</th>\n",
" <th>Principal</th>\n",
" <th>Payment</th>\n",
" <th>Additional Payment</th>\n",
" <th>Total Interest</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>2041-01-01</td>\n",
" <td>4.0</td>\n",
" <td>30</td>\n",
" <td>100000</td>\n",
" <td>477.42</td>\n",
" <td>50</td>\n",
" <td>58441.08</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>2032-09-01</td>\n",
" <td>5.0</td>\n",
" <td>30</td>\n",
" <td>100000</td>\n",
" <td>536.82</td>\n",
" <td>200</td>\n",
" <td>47708.38</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>2030-12-01</td>\n",
" <td>4.0</td>\n",
" <td>15</td>\n",
" <td>100000</td>\n",
" <td>739.69</td>\n",
" <td>0</td>\n",
" <td>33143.79</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Payoff Date Interest Rate Years Principal Payment Additional Payment \\\n",
"0 2041-01-01 4.0 30 100000 477.42 50 \n",
"1 2032-09-01 5.0 30 100000 536.82 200 \n",
"2 2030-12-01 4.0 15 100000 739.69 0 \n",
"\n",
" Total Interest \n",
"0 58441.08 \n",
"1 47708.38 \n",
"2 33143.79 "
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.DataFrame([stats1, stats2, stats3])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Produce some plots, following the original post"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"plt.style.use('ggplot')"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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i3njjDbRaLaGhoURGRrJhwwbDezZt2kRQUBBdunTBw8ODfv364ePjw5YtW8rcFkl6Ev3r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\nmLwkT0rMNxDKbEb7v3vRHhgD2zehTx2FkXfA290SjYwEEiH8XGS0mQ6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JUQ3bNnpuJ0SQ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dOmSXq+SuCImre1tWHjxo24cuUK2traYDAYMGnSJKSnp0On0/Xqk+NcuporbZy7rV69erVsvZND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\nJ0v7AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fd4c4e62358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 1)\n",
"schedule1.plot(x='Date', y='Balance', label=\"Scenario 1\", ax=ax)\n",
"schedule2.plot(x='Date', y='Balance', label=\"Scenario 2\", ax=ax)\n",
"schedule3.plot(x='Date', y='Balance', label=\"Scenario 3\", ax=ax)\n",
"plt.title(\"Pay Off Timelines\");"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def make_plot_data(schedule, stats):\n",
" \"\"\"Create a datframe with annual interest totals, and a descriptive label\"\"\"\n",
" y = schedule.set_index('Date')['Interest'].resample(\"A\").sum().reset_index()\n",
" y[\"Year\"] = y[\"Date\"].dt.year\n",
" y.set_index('Year', inplace=True)\n",
" y.drop('Date', 1, inplace=True)\n",
" label=\"{} years at {}% with additional payment of {}\".format(stats['Years'], stats['Interest Rate'], stats['Additional Payment'])\n",
" return y, label\n",
" \n",
"y1, label1 = make_plot_data(schedule1, stats1)\n",
"y2, label2 = make_plot_data(schedule2, stats2)\n",
"y3, label3 = make_plot_data(schedule3, stats3)\n",
"\n",
"y = pd.concat([y1, y2, y3], axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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wIDQ0lEmTJklPVgrCC+VxTzz2NLt3ksKnscxnoY6izKe/zGehjs9rmZGRkUq5XK5cs2bN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\nAel8HxlY7p4DAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fd4c5072518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(7,5)\n",
"fig, ax = plt.subplots(1, 1)\n",
"y.plot(kind=\"bar\", ax=ax)\n",
"\n",
"plt.legend([label1, label2, label3], loc=1, prop={'size':10})\n",
"plt.title(\"Interest Payments\");"
]
}
],
"metadata": {
"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": "3.4.3"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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