115 lines
4.2 KiB
Python
115 lines
4.2 KiB
Python
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"""FIRE-number solver: smallest liquid NW where GK reaches the bar.
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Uses deterministic fixed-return paths so thresholds are exact step functions and
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the ordering properties (pension lowers the target, kids/home raise it) hold
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without statistical noise.
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"""
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from __future__ import annotations
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import pytest
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from fire_planner.fire_target import (
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TargetInputs,
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build_cashflows,
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pension_at_unlock,
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solve_target_nw,
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success_at_nw,
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)
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from fire_planner.spend_model import Case
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from tests.test_simulator import fixed_paths
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def _paths(n_years: int = 30):
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# 2% nominal everything -> 0% real return; clean arithmetic.
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return fixed_paths(n_paths=1, n_years=n_years, stock_ret=0.02, bond_ret=0.02, cpi=0.02)
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def _inp(**over) -> TargetInputs:
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base = dict(
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case=Case.SOLO,
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country_slug="kuala-lumpur",
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country_display="Kuala Lumpur",
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jurisdiction="malaysia", # 0% on foreign income -> no tax drag
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annual_spend_gbp=40_000.0,
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horizon_years=30,
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glide_name="static_60_40",
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)
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base.update(over)
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return TargetInputs(**base)
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def test_pension_at_unlock_compounds_real_growth() -> None:
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inp = _inp(pension_now_gbp=100_000.0, pension_real_growth=0.03, years_to_pension=10)
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assert pension_at_unlock(inp) == pytest.approx(100_000 * 1.03 ** 10)
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def test_build_cashflows_places_pension_kids_home() -> None:
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inp = _inp(
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pension_now_gbp=100_000.0, pension_real_growth=0.0, years_to_pension=10,
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kids_annual_gbp=10_000.0, kids_start_year=5, kids_end_year=8,
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with_home=True, home_amount_gbp=50_000.0, home_year=0,
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)
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cf = build_cashflows(inp, inp.horizon_years)
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assert cf.shape == (30,)
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assert cf[10] == pytest.approx(100_000.0 - 0.0) # pension lump (no growth) ...
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# ... but home is at year 0 and kids at 5-8, so year 10 is pension only.
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assert cf[0] == pytest.approx(-50_000.0) # home outflow
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assert cf[5] == pytest.approx(-10_000.0) # kids ramp
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assert cf[8] == pytest.approx(-10_000.0)
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assert cf[9] == pytest.approx(0.0) # kids ended
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def test_success_is_monotone_in_net_worth() -> None:
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inp = _inp()
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cf = build_cashflows(inp, inp.horizon_years)
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s_low = success_at_nw(_paths(), 300_000.0, inp, cf)
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s_high = success_at_nw(_paths(), 3_000_000.0, inp, cf)
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assert s_low <= s_high
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assert s_high == pytest.approx(1.0)
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def test_solver_finds_a_threshold() -> None:
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inp = _inp()
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res = solve_target_nw(_paths(), inp, tol=2_000.0)
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assert res.reached_bar
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# At the target, the bar is met; just below it, it is not.
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cf = build_cashflows(inp, inp.horizon_years)
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assert success_at_nw(_paths(), res.target_nw_gbp, inp, cf) >= inp.bar
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assert success_at_nw(_paths(), res.target_nw_gbp - 5_000.0, inp, cf) < inp.bar
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def test_pension_lowers_target() -> None:
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no_pension = solve_target_nw(_paths(), _inp(), tol=2_000.0)
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with_pension = solve_target_nw(
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_paths(), _inp(pension_now_gbp=200_000.0, pension_real_growth=0.0, years_to_pension=10),
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tol=2_000.0,
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)
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assert with_pension.target_nw_gbp < no_pension.target_nw_gbp
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def test_kids_raise_target() -> None:
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no_kids = solve_target_nw(_paths(), _inp(), tol=2_000.0)
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with_kids = solve_target_nw(
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_paths(), _inp(kids_annual_gbp=12_000.0, kids_start_year=5, kids_end_year=22),
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tol=2_000.0,
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)
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assert with_kids.target_nw_gbp > no_kids.target_nw_gbp
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def test_home_raises_target_meaningfully() -> None:
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no_home = solve_target_nw(_paths(), _inp(), tol=2_000.0)
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with_home = solve_target_nw(
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_paths(), _inp(with_home=True, home_amount_gbp=100_000.0, home_year=0),
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tol=2_000.0,
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)
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# A home costs money, so the target rises — by a non-trivial amount. The
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# increase is < face value because GK anchors its draw rate to the seed and
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# absorbs part of a one-time hit via later guardrail cuts.
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assert with_home.target_nw_gbp > no_home.target_nw_gbp + 10_000.0
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def test_unreachable_bar_returns_not_reached() -> None:
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# Spend far above what any NW in range can sustain.
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res = solve_target_nw(_paths(), _inp(annual_spend_gbp=2_000_000.0), hi=1_000_000.0, tol=2_000.0)
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assert not res.reached_bar
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