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Harry Stuart 2024-08-08 08:24:44 +10:00
parent 2af870cde5
commit 797233da16
4 changed files with 547 additions and 66 deletions
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57
demo.ipynb
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@ -2,7 +2,7 @@
"cells": [ "cells": [
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 27, "execution_count": 2,
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
"source": [ "source": [
@ -16,13 +16,14 @@
" loan_duration_years: int\n", " loan_duration_years: int\n",
" lmi_amount: float\n", " lmi_amount: float\n",
" annual_rental_income: float\n", " annual_rental_income: float\n",
" annual_rental_growth_rate: float\n",
" annual_interest_rate: float\n", " annual_interest_rate: float\n",
" annual_growth_rate: float" " annual_growth_rate: float"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 28, "execution_count": 3,
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
"source": [ "source": [
@ -64,29 +65,29 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 30, "execution_count": 4,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
"output_type": "stream", "output_type": "stream",
"text": [ "text": [
"Upfront Costs: 31045.00 = 30000.00 deposit + 0.00 LMI + 1045.00 stamp duty\n", "Upfront Costs: 321500.00 = 250000.00 deposit + 0.00 LMI + 71500.00 stamp duty\n",
"Annual Mortgage Payment: 44102.58\n", "Annual Mortgage Payment: 81241.59\n",
"\n", "\n",
"Total Paid: 1323077.38\n", "Total Paid: 2437247.81\n",
"Property Value: 2593165.43\n", "Property Value: 9895931.56\n",
"Total Interest Paid: 753077.38\n", "Total Interest Paid: 1387247.81\n",
"Total Rental Income: 900000.00\n", "Total Rental Income: 116762.31\n",
"\n", "\n",
"Total Paid (10yr): 441025.79\n", "Total Paid (10yr): 812415.94\n",
"Property Value (10yr): 977336.78\n", "Property Value (10yr): 2557296.76\n",
"Total Interest Paid (10yr): 353134.02\n", "Total Interest Paid (10yr): 650510.03\n",
"Total Principal Paid (10yr): 87891.78\n", "Total Principal Paid (10yr): 161905.91\n",
"Total Rental Income (10yr): 300000.00\n", "Total Rental Income (10yr): 432219.86\n",
"Net Cash Position (10yr): -141025.79\n", "Net Cash Position (10yr): -380196.08\n",
"Loan Balance (10yr): 482108.22\n", "Loan Balance (10yr): 888094.09\n",
"Total Equity (10yr): 495228.55\n" "Total Equity (10yr): 1669202.67\n"
] ]
} }
], ],
@ -95,7 +96,7 @@
" initial_loan_amount = property_finance_params.purchase_price - property_finance_params.deposit_amount\n", " initial_loan_amount = property_finance_params.purchase_price - property_finance_params.deposit_amount\n",
" yearly_loan_balance = [initial_loan_amount]\n", " yearly_loan_balance = [initial_loan_amount]\n",
"\n", "\n",
" stamp_duty = calculate_stamp_duty(property_finance_params.purchase_price, first_home=True)\n", " stamp_duty = calculate_stamp_duty(property_finance_params.purchase_price, first_home=False)\n",
" upfront_costs = stamp_duty + property_finance_params.deposit_amount + property_finance_params.lmi_amount\n", " upfront_costs = stamp_duty + property_finance_params.deposit_amount + property_finance_params.lmi_amount\n",
"\n", "\n",
" print(f\"Upfront Costs: {upfront_costs:.2f} = {property_finance_params.deposit_amount:.2f} deposit + {property_finance_params.lmi_amount:.2f} LMI + {stamp_duty:.2f} stamp duty\")\n", " print(f\"Upfront Costs: {upfront_costs:.2f} = {property_finance_params.deposit_amount:.2f} deposit + {property_finance_params.lmi_amount:.2f} LMI + {stamp_duty:.2f} stamp duty\")\n",
@ -108,6 +109,7 @@
" yearly_interest_paid = []\n", " yearly_interest_paid = []\n",
" yearly_principal_paid = []\n", " yearly_principal_paid = []\n",
" yearly_property_value = [property_finance_params.purchase_price]\n", " yearly_property_value = [property_finance_params.purchase_price]\n",
" yearly_rental_income = [property_finance_params.annual_rental_income]\n",
"\n", "\n",
" for year in range(property_finance_params.loan_duration_years):\n", " for year in range(property_finance_params.loan_duration_years):\n",
" interest_paid = yearly_loan_balance[-1] * property_finance_params.annual_interest_rate\n", " interest_paid = yearly_loan_balance[-1] * property_finance_params.annual_interest_rate\n",
@ -118,6 +120,8 @@
"\n", "\n",
" yearly_property_value.append(yearly_property_value[-1] * (1 + property_finance_params.annual_growth_rate))\n", " yearly_property_value.append(yearly_property_value[-1] * (1 + property_finance_params.annual_growth_rate))\n",
"\n", "\n",
" yearly_rental_income.append(yearly_rental_income[-1] * (1 + property_finance_params.annual_rental_growth_rate))\n",
"\n",
" if yearly_loan_balance[-1] <= 0:\n", " if yearly_loan_balance[-1] <= 0:\n",
" break # Loan fully paid off\n", " break # Loan fully paid off\n",
"\n", "\n",
@ -126,7 +130,7 @@
" print(f\"Total Paid: {annual_mortgage_payment * property_finance_params.loan_duration_years:.2f}\")\n", " print(f\"Total Paid: {annual_mortgage_payment * property_finance_params.loan_duration_years:.2f}\")\n",
" print(f\"Property Value: {yearly_property_value[-1]:.2f}\")\n", " print(f\"Property Value: {yearly_property_value[-1]:.2f}\")\n",
" print(f\"Total Interest Paid: {sum(yearly_interest_paid):.2f}\")\n", " print(f\"Total Interest Paid: {sum(yearly_interest_paid):.2f}\")\n",
" print(f\"Total Rental Income: {property_finance_params.annual_rental_income * property_finance_params.loan_duration_years:.2f}\")\n", " print(f\"Total Rental Income: {yearly_rental_income[-1]:.2f}\")\n",
"\n", "\n",
" print()\n", " print()\n",
"\n", "\n",
@ -134,21 +138,22 @@
" print(f\"Property Value (10yr): {yearly_property_value[10]:.2f}\")\n", " print(f\"Property Value (10yr): {yearly_property_value[10]:.2f}\")\n",
" print(f\"Total Interest Paid (10yr): {sum(yearly_interest_paid[:10]):.2f}\")\n", " print(f\"Total Interest Paid (10yr): {sum(yearly_interest_paid[:10]):.2f}\")\n",
" print(f\"Total Principal Paid (10yr): {sum(yearly_principal_paid[:10]):.2f}\")\n", " print(f\"Total Principal Paid (10yr): {sum(yearly_principal_paid[:10]):.2f}\")\n",
" print(f\"Total Rental Income (10yr): {property_finance_params.annual_rental_income * 10:.2f}\")\n", " print(f\"Total Rental Income (10yr): {sum(yearly_rental_income[:10]):.2f}\")\n",
" print(f\"Net Cash Position (10yr): {(property_finance_params.annual_rental_income * 10) - (annual_mortgage_payment * 10):.2f}\")\n", " print(f\"Net Cash Position (10yr): {sum(yearly_rental_income[:10]) - (annual_mortgage_payment * 10):.2f}\")\n",
" print(f\"Loan Balance (10yr): {yearly_loan_balance[10]:.2f}\")\n", " print(f\"Loan Balance (10yr): {yearly_loan_balance[10]:.2f}\")\n",
" print(f\"Total Equity (10yr): {yearly_property_value[10] - yearly_loan_balance[10]:.2f}\")\n", " print(f\"Total Equity (10yr): {yearly_property_value[10] - yearly_loan_balance[10]:.2f}\")\n",
"\n", "\n",
"\n", "\n",
"run_simulation(\n", "run_simulation(\n",
" PropertyFinanceParams(\n", " PropertyFinanceParams(\n",
" 600000,\n", " 1300000,\n",
" 30000,\n", " 250000,\n",
" 30,\n", " 30,\n",
" 0,\n", " 0,\n",
" 30000,\n", " 36000,\n",
" 0.04,\n",
" 0.066,\n", " 0.066,\n",
" 0.05)\n", " 0.07)\n",
")" ")"
] ]
} }
@ -169,7 +174,7 @@
"name": "python", "name": "python",
"nbconvert_exporter": "python", "nbconvert_exporter": "python",
"pygments_lexer": "ipython3", "pygments_lexer": "ipython3",
"version": "3.11.2" "version": "3.12.0"
}, },
"orig_nbformat": 4 "orig_nbformat": 4
}, },

92
mortgage.py Normal file
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@ -0,0 +1,92 @@
import matplotlib.pyplot as plt
periods_per_year = 12
loan_duration_years = 30
nominal_annual_interest_rate = 6.6 / 100
loan_principal = 600000
deposit = 32500
additional_upront_costs = 11356
annual_appreciation_rate = 5 / 100
initial_annual_rental_income = 14400
rental_income_annual_growth_rate = 6 / 100
baseline_annual_yield = 9 / 100 # ETF
rental_cost_annual_growth_rate = 6 / 100 # If I don't buy a PPOR
initial_annual_rental_cost = 20400 # Living in carlton
initial_property_value = loan_principal + deposit
period_interest_rate = nominal_annual_interest_rate / periods_per_year
total_loan_periods = periods_per_year * loan_duration_years
period_appreciation_rate = (1 + annual_appreciation_rate) ** (1 / periods_per_year) - 1
period_rental_income_growth_rate = (1 + rental_income_annual_growth_rate) ** (1 / periods_per_year) - 1
initial_period_rental_income = initial_annual_rental_income / periods_per_year
baseline_period_yield = (1 + baseline_annual_yield) ** (1 / periods_per_year) - 1 # ETF
period_rental_cost_growth_rate = (1 + rental_cost_annual_growth_rate) ** (1 / periods_per_year) - 1 # Renting
initial_period_rental_cost = initial_annual_rental_cost / periods_per_year
period_payment = (loan_principal * (period_interest_rate * (1 + period_interest_rate) ** total_loan_periods) /
((1 + period_interest_rate) ** total_loan_periods - 1))
property_value = initial_property_value
property_values = [property_value]
remaining_loan = loan_principal
remaining_loans = [remaining_loan]
equity = deposit
equities = [equity]
total_payments = 0
total_payments_list = [total_payments]
total_interest_paid = 0
total_interest_paid_list = [total_interest_paid]
total_rental_income = 0
total_rental_income_list = [total_rental_income]
rental_income_period = initial_period_rental_income
net_worth = deposit - additional_upront_costs
net_worths = [net_worth]
total_baseline_value = deposit + additional_upront_costs # ETF initial investment of all property upfront costs
total_baseline_values = [total_baseline_value]
rental_cost_period = initial_period_rental_cost # renting
for period in range(total_loan_periods):
total_payments += period_payment
interest_paid_period = remaining_loan * period_interest_rate
total_interest_paid += interest_paid_period
principal_paid_period = period_payment - interest_paid_period
remaining_loan -= principal_paid_period
appreciation_period = property_value * (1 + period_appreciation_rate) - property_value
property_value += appreciation_period
equity += principal_paid_period + appreciation_period
rental_income_period *= 1 + period_rental_income_growth_rate
total_rental_income += rental_income_period
cashflow_period = rental_income_period - interest_paid_period
net_worth += cashflow_period + appreciation_period + principal_paid_period
rental_cost_period *= 1 + period_rental_cost_growth_rate # My rent keeps increasing :((
total_baseline_value = total_baseline_value * (1 + baseline_period_yield) + max(period_payment - rental_cost_period, 0) # ETF grows from compounding and deposit. Assuming that deposit is equal to what would otherwise be building equity in a property - expense of rent
property_values.append(property_value)
remaining_loans.append(remaining_loan)
equities.append(equity)
total_payments_list.append(total_payments)
total_interest_paid_list.append(total_interest_paid)
total_rental_income_list.append(total_rental_income)
net_worths.append(net_worth)
total_baseline_values.append(total_baseline_value)
plt.figure(figsize=(14, 8))
plt.plot(property_values, label='Property Value', color='blue')
plt.plot(remaining_loans, label='Remaining Loan', color='red')
plt.plot(equities, label='Equity', color='green')
plt.plot(net_worths, label='Net Worth', color='purple')
plt.plot(total_payments_list, label='Total Payments', color='orange')
plt.plot(total_interest_paid_list, label='Total Interest Paid', color='brown')
plt.plot(total_rental_income_list, label='Total Rental Income', color='teal')
plt.plot(total_baseline_values, label='Total Baseline Value (ETF)', color='black')
plt.title('Financial Metrics and ETF Comparison over the Loan Term')
plt.xlabel('Months')
plt.ylabel('Dollar Amount')
plt.legend()
plt.grid(True)
plt.show()

463
poetry.lock generated
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@ -1,10 +1,9 @@
# This file is automatically @generated by Poetry 1.4.0 and should not be changed by hand. # This file is automatically @generated by Poetry 1.8.3 and should not be changed by hand.
[[package]] [[package]]
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category = "dev"
optional = false optional = false
python-versions = ">=3.6" python-versions = ">=3.6"
files = [ files = [
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python-versions = "*" python-versions = "*"
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@ -35,7 +33,6 @@ test = ["astroid (>=1,<2)", "astroid (>=2,<4)", "pytest"]
name = "cffi" name = "cffi"
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docs = ["furo", "olefile", "sphinx (>=7.3)", "sphinx-copybutton", "sphinx-inline-tabs", "sphinxext-opengraph"]
fpx = ["olefile"]
mic = ["olefile"]
tests = ["check-manifest", "coverage", "defusedxml", "markdown2", "olefile", "packaging", "pyroma", "pytest", "pytest-cov", "pytest-timeout"]
typing = ["typing-extensions"]
xmp = ["defusedxml"]
[[package]] [[package]]
name = "platformdirs" name = "platformdirs"
version = "4.2.2" version = "4.2.2"
description = "A small Python package for determining appropriate platform-specific dirs, e.g. a `user data dir`." description = "A small Python package for determining appropriate platform-specific dirs, e.g. a `user data dir`."
category = "dev"
optional = false optional = false
python-versions = ">=3.8" python-versions = ">=3.8"
files = [ files = [
@ -467,7 +852,6 @@ type = ["mypy (>=1.8)"]
name = "prompt-toolkit" name = "prompt-toolkit"
version = "3.0.47" version = "3.0.47"
description = "Library for building powerful interactive command lines in Python" description = "Library for building powerful interactive command lines in Python"
category = "dev"
optional = false optional = false
python-versions = ">=3.7.0" python-versions = ">=3.7.0"
files = [ files = [
@ -482,7 +866,6 @@ wcwidth = "*"
name = "psutil" name = "psutil"
version = "6.0.0" version = "6.0.0"
description = "Cross-platform lib for process and system monitoring in Python." description = "Cross-platform lib for process and system monitoring in Python."
category = "dev"
optional = false optional = false
python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,>=2.7" python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,>=2.7"
files = [ files = [
@ -512,7 +895,6 @@ test = ["enum34", "ipaddress", "mock", "pywin32", "wmi"]
name = "ptyprocess" name = "ptyprocess"
version = "0.7.0" version = "0.7.0"
description = "Run a subprocess in a pseudo terminal" description = "Run a subprocess in a pseudo terminal"
category = "dev"
optional = false optional = false
python-versions = "*" python-versions = "*"
files = [ files = [
@ -524,7 +906,6 @@ files = [
name = "pure-eval" name = "pure-eval"
version = "0.2.2" version = "0.2.2"
description = "Safely evaluate AST nodes without side effects" description = "Safely evaluate AST nodes without side effects"
category = "dev"
optional = false optional = false
python-versions = "*" python-versions = "*"
files = [ files = [
@ -539,7 +920,6 @@ tests = ["pytest"]
name = "pycparser" name = "pycparser"
version = "2.22" version = "2.22"
description = "C parser in Python" description = "C parser in Python"
category = "dev"
optional = false optional = false
python-versions = ">=3.8" python-versions = ">=3.8"
files = [ files = [
@ -551,7 +931,6 @@ files = [
name = "pygments" name = "pygments"
version = "2.18.0" version = "2.18.0"
description = "Pygments is a syntax highlighting package written in Python." description = "Pygments is a syntax highlighting package written in Python."
category = "dev"
optional = false optional = false
python-versions = ">=3.8" python-versions = ">=3.8"
files = [ files = [
@ -562,11 +941,24 @@ files = [
[package.extras] [package.extras]
windows-terminal = ["colorama (>=0.4.6)"] windows-terminal = ["colorama (>=0.4.6)"]
[[package]]
name = "pyparsing"
version = "3.1.2"
description = "pyparsing module - Classes and methods to define and execute parsing grammars"
optional = false
python-versions = ">=3.6.8"
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[package.extras]
diagrams = ["jinja2", "railroad-diagrams"]
[[package]] [[package]]
name = "python-dateutil" name = "python-dateutil"
version = "2.9.0.post0" version = "2.9.0.post0"
description = "Extensions to the standard Python datetime module" description = "Extensions to the standard Python datetime module"
category = "dev"
optional = false optional = false
python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,>=2.7" python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,>=2.7"
files = [ files = [
@ -581,7 +973,6 @@ six = ">=1.5"
name = "pywin32" name = "pywin32"
version = "306" version = "306"
description = "Python for Window Extensions" description = "Python for Window Extensions"
category = "dev"
optional = false optional = false
python-versions = "*" python-versions = "*"
files = [ files = [
@ -605,7 +996,6 @@ files = [
name = "pyzmq" name = "pyzmq"
version = "26.0.3" version = "26.0.3"
description = "Python bindings for 0MQ" description = "Python bindings for 0MQ"
category = "dev"
optional = false optional = false
python-versions = ">=3.7" python-versions = ">=3.7"
files = [ files = [
@ -706,7 +1096,6 @@ cffi = {version = "*", markers = "implementation_name == \"pypy\""}
name = "six" name = "six"
version = "1.16.0" version = "1.16.0"
description = "Python 2 and 3 compatibility utilities" description = "Python 2 and 3 compatibility utilities"
category = "main"
optional = false optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*" python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*"
files = [ files = [
@ -718,7 +1107,6 @@ files = [
name = "stack-data" name = "stack-data"
version = "0.6.3" version = "0.6.3"
description = "Extract data from python stack frames and tracebacks for informative displays" description = "Extract data from python stack frames and tracebacks for informative displays"
category = "dev"
optional = false optional = false
python-versions = "*" python-versions = "*"
files = [ files = [
@ -738,7 +1126,6 @@ tests = ["cython", "littleutils", "pygments", "pytest", "typeguard"]
name = "tornado" name = "tornado"
version = "6.4.1" version = "6.4.1"
description = "Tornado is a Python web framework and asynchronous networking library, originally developed at FriendFeed." description = "Tornado is a Python web framework and asynchronous networking library, originally developed at FriendFeed."
category = "dev"
optional = false optional = false
python-versions = ">=3.8" python-versions = ">=3.8"
files = [ files = [
@ -759,7 +1146,6 @@ files = [
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version = "5.14.3" version = "5.14.3"
description = "Traitlets Python configuration system" description = "Traitlets Python configuration system"
category = "dev"
optional = false optional = false
python-versions = ">=3.8" python-versions = ">=3.8"
files = [ files = [
@ -775,7 +1161,6 @@ test = ["argcomplete (>=3.0.3)", "mypy (>=1.7.0)", "pre-commit", "pytest (>=7.0,
name = "transitions" name = "transitions"
version = "0.9.1" version = "0.9.1"
description = "A lightweight, object-oriented Python state machine implementation with many extensions." description = "A lightweight, object-oriented Python state machine implementation with many extensions."
category = "main"
optional = false optional = false
python-versions = "*" python-versions = "*"
files = [ files = [
@ -794,7 +1179,6 @@ test = ["pytest"]
name = "typing-extensions" name = "typing-extensions"
version = "4.12.2" version = "4.12.2"
description = "Backported and Experimental Type Hints for Python 3.8+" description = "Backported and Experimental Type Hints for Python 3.8+"
category = "dev"
optional = false optional = false
python-versions = ">=3.8" python-versions = ">=3.8"
files = [ files = [
@ -806,7 +1190,6 @@ files = [
name = "wcwidth" name = "wcwidth"
version = "0.2.13" version = "0.2.13"
description = "Measures the displayed width of unicode strings in a terminal" description = "Measures the displayed width of unicode strings in a terminal"
category = "dev"
optional = false optional = false
python-versions = "*" python-versions = "*"
files = [ files = [
@ -817,4 +1200,4 @@ files = [
[metadata] [metadata]
lock-version = "2.0" lock-version = "2.0"
python-versions = "^3.11" python-versions = "^3.11"
content-hash = "a0d2bec1a2aefc588a50abd1880ba729afc94d4d7503cdbd5a9b68ce496fbe82" content-hash = "2def5260115c723676f22a9db8fbe59552b940def30c8814ded40a3ea017b08f"

1
pyproject.toml
View File

@ -9,6 +9,7 @@ readme = "README.md"
python = "^3.11" python = "^3.11"
numpy = "^2.0.0" numpy = "^2.0.0"
transitions = "^0.9.1" transitions = "^0.9.1"
matplotlib = "^3.9.1.post1"
[tool.poetry.group.dev.dependencies] [tool.poetry.group.dev.dependencies]