From 797233da16c120c39422bb4c54daaaa9a426002c Mon Sep 17 00:00:00 2001 From: Harry Stuart Date: Thu, 8 Aug 2024 08:24:44 +1000 Subject: [PATCH] with baseline --- demo.ipynb | 57 +++--- mortgage.py | 92 ++++++++++ poetry.lock | 463 ++++++++++++++++++++++++++++++++++++++++++++----- pyproject.toml | 1 + 4 files changed, 547 insertions(+), 66 deletions(-) create mode 100644 mortgage.py diff --git a/demo.ipynb b/demo.ipynb index f18a984..2eab654 100644 --- a/demo.ipynb +++ b/demo.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 27, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -16,13 +16,14 @@ " loan_duration_years: int\n", " lmi_amount: float\n", " annual_rental_income: float\n", + " annual_rental_growth_rate: float\n", " annual_interest_rate: float\n", " annual_growth_rate: float" ] }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -64,29 +65,29 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Upfront Costs: 31045.00 = 30000.00 deposit + 0.00 LMI + 1045.00 stamp duty\n", - "Annual Mortgage Payment: 44102.58\n", + "Upfront Costs: 321500.00 = 250000.00 deposit + 0.00 LMI + 71500.00 stamp duty\n", + "Annual Mortgage Payment: 81241.59\n", "\n", - "Total Paid: 1323077.38\n", - "Property Value: 2593165.43\n", - "Total Interest Paid: 753077.38\n", - "Total Rental Income: 900000.00\n", + "Total Paid: 2437247.81\n", + "Property Value: 9895931.56\n", + "Total Interest Paid: 1387247.81\n", + "Total Rental Income: 116762.31\n", "\n", - "Total Paid (10yr): 441025.79\n", - "Property Value (10yr): 977336.78\n", - "Total Interest Paid (10yr): 353134.02\n", - "Total Principal Paid (10yr): 87891.78\n", - "Total Rental Income (10yr): 300000.00\n", - "Net Cash Position (10yr): -141025.79\n", - "Loan Balance (10yr): 482108.22\n", - "Total Equity (10yr): 495228.55\n" + "Total Paid (10yr): 812415.94\n", + "Property Value (10yr): 2557296.76\n", + "Total Interest Paid (10yr): 650510.03\n", + "Total Principal Paid (10yr): 161905.91\n", + "Total Rental Income (10yr): 432219.86\n", + "Net Cash Position (10yr): -380196.08\n", + "Loan Balance (10yr): 888094.09\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", " yearly_loan_balance = [initial_loan_amount]\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", "\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_principal_paid = []\n", " yearly_property_value = [property_finance_params.purchase_price]\n", + " yearly_rental_income = [property_finance_params.annual_rental_income]\n", "\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", @@ -118,6 +120,8 @@ "\n", " yearly_property_value.append(yearly_property_value[-1] * (1 + property_finance_params.annual_growth_rate))\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", " break # Loan fully paid off\n", "\n", @@ -126,7 +130,7 @@ " 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\"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", " print()\n", "\n", @@ -134,21 +138,22 @@ " 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 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\"Net Cash Position (10yr): {(property_finance_params.annual_rental_income * 10) - (annual_mortgage_payment * 10):.2f}\")\n", + " print(f\"Total Rental Income (10yr): {sum(yearly_rental_income[: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\"Total Equity (10yr): {yearly_property_value[10] - yearly_loan_balance[10]:.2f}\")\n", "\n", "\n", "run_simulation(\n", " PropertyFinanceParams(\n", - " 600000,\n", - " 30000,\n", + " 1300000,\n", + " 250000,\n", " 30,\n", " 0,\n", - " 30000,\n", + " 36000,\n", + " 0.04,\n", " 0.066,\n", - " 0.05)\n", + " 0.07)\n", ")" ] } @@ -169,7 +174,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.2" + "version": "3.12.0" }, "orig_nbformat": 4 }, diff --git a/mortgage.py b/mortgage.py new file mode 100644 index 0000000..e6885ee --- /dev/null +++ b/mortgage.py @@ -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() + diff --git a/poetry.lock b/poetry.lock index b8c9bcf..a3080e3 100644 --- a/poetry.lock +++ b/poetry.lock @@ -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. 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