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e62abda c8287b0 e62abda c8287b0 e62abda c8287b0 e62abda c8287b0 e62abda c8287b0 e62abda | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 | # app.py
# Streamlit front-end for the Liquidity Decision Map
# ---------------------------------------------------
# pip install streamlit numpy pandas seaborn matplotlib
# --- bootstrap: install missing deps automatically ---------------------------
def _ensure_packages(pkgs):
"""
pkgs: sequence of dicts like
{"pip": "streamlit", "import": "streamlit", "spec": ">=1.30"}
- "pip": name used with pip install
- "import":module name used in 'import ...' (defaults to pip name)
- "spec": optional version spec (e.g., '==1.26.4' or '>=1.26')
"""
import importlib, subprocess, sys
for meta in pkgs:
pip_name = meta["pip"]
import_name = meta.get("import", pip_name)
spec = meta.get("spec", "")
try:
importlib.import_module(import_name)
except ImportError:
pkg_spec = pip_name + (spec or "")
print(f"[bootstrap] Installing {pkg_spec} …")
try:
subprocess.check_call([sys.executable, "-m", "pip", "install", pkg_spec])
except subprocess.CalledProcessError:
# Fallback: try --user (useful on locked-down machines)
subprocess.check_call([sys.executable, "-m", "pip", "install", "--user", pkg_spec])
# try import again (module just installed)
importlib.invalidate_caches()
importlib.import_module(import_name)
# call it for your app's deps
_ensure_packages([
{"pip": "streamlit"},
{"pip": "numpy"},
{"pip": "pandas"},
{"pip": "seaborn"},
{"pip": "matplotlib"},
{"pip":'io'},
])
# -----------------------------------------------------------------------------
import io
import numpy as np
import pandas as pd
import seaborn as sns
import matplotlib.pyplot as plt
from matplotlib.colors import ListedColormap
from matplotlib.patches import FancyArrowPatch
import streamlit as st
# ---------- Core math ----------
def annuity_factor(r, T):
"""(1 - (1+r)^(-T)) / r, with r->0 limit = T"""
return T if np.isclose(r, 0.0) else (1.0 - (1.0 + r) ** (-T)) / r
def breakeven_portfolio_return_traced(cost_basis_pct, tax_rate, mm_yield, horizon_years,
mortgage_rate, shield_sell, shield_use):
"""
r* = ( ((1 - g*tax) * (1 + i*Δshield*AF))^(1/T) * (1 + r_mm) ) - 1
g = 1 - cost_basis_pct ; Δshield = shield_sell - shield_use ; AF = annuity_factor(r_mm, T)
"""
cb = np.asarray(cost_basis_pct, dtype=float)
tr = np.asarray(tax_rate, dtype=float)
g = np.clip(1.0 - cb, 0.0, 1.0)
one_minus_wedge = 1.0 - g * tr
dshield = np.asarray(shield_sell, dtype=float) - np.asarray(shield_use, dtype=float)
adj = 1.0 + mortgage_rate * dshield * annuity_factor(mm_yield, horizon_years)
with np.errstate(invalid="ignore"):
rp_star = np.where(
(one_minus_wedge > 0.0) & (horizon_years > 0),
((one_minus_wedge * adj) ** (1.0 / horizon_years)) * (1.0 + mm_yield) - 1.0,
np.nan
)
return rp_star
# ---------- Plotting ----------
def make_decision_heatmap(cb_vals, tax_vals, r_mm, T, r_mort, r_exp, shield_sell, shield_use,
title):
"""
Returns (fig, df_rstar, df_decision)
- two-color squares: light green = Use MM, light blue = Sell
- per-cell label with r*
- decision boundary with upward arrow
"""
CB, TR = np.meshgrid(cb_vals, tax_vals) # rows=tax, cols=cb
Rstar = breakeven_portfolio_return_traced(CB, TR, r_mm, T, r_mort, shield_sell, shield_use)
Delta = Rstar - r_exp
decision_idx = (Delta >= 0).astype(int) # 0=MM, 1=SELL
color_mm, color_sell = "#CDECCF", "#ADD8E6"
cmap = ListedColormap([color_mm, color_sell])
fig, ax = plt.subplots(figsize=(12, 7))
sns.heatmap(
decision_idx,
ax=ax, cmap=cmap, vmin=-0.5, vmax=1.5, cbar=False,
linewidths=0.8, linecolor="white", square=True,
xticklabels=[f"{x:.0%}" for x in cb_vals],
yticklabels=[f"{y:.0%}" for y in tax_vals]
)
# Per-cell r* labels
M, N = decision_idx.shape
for i in range(M):
for j in range(N):
rs = Rstar[i, j]
if np.isfinite(rs):
ax.text(j + 0.5, i + 0.5, f"{rs*100:.1f}%", ha="center", va="center",
fontsize=9, color="#0f172a")
# Decision boundary + upward arrow
finite = np.isfinite(Delta)
if finite.any() and (np.nanmin(Delta) <= 0.0 <= np.nanmax(Delta)):
Xc = np.arange(N); Yc = np.arange(M)
XX, YY = np.meshgrid(Xc, Yc)
CS = ax.contour(XX + 0.5, YY + 0.5, Delta, levels=[0.0], colors="black", linewidths=2)
try:
path = max(CS.collections[0].get_paths(), key=lambda p: p.vertices.shape[0])
verts = path.vertices
mid = len(verts) // 2
p0, p1 = verts[mid-1], verts[mid+1]
if p1[1] < p0[1]: # ensure arrow points upward (toward SELL region)
p0, p1 = p1, p0
arrow = FancyArrowPatch((p0[0], p0[1]), (p1[0], p1[1]),
arrowstyle='->', mutation_scale=16, lw=2, color='black')
ax.add_patch(arrow)
#ax.text(p1[0] + 0.2, min(p1[1] + 0.3, M+0.3), "Sell portfolio",
# fontsize=11, weight="bold")
#ax.text(max(p0[0] - 1.0, -0.1), max(p0[1] - 0.5, -0.3), "Use money market",
# fontsize=11, weight="bold")
except Exception:
pass
else:
ax.text(0.5, 1.02, "No decision boundary within shown range",
transform=ax.transAxes, ha="center", va="bottom", fontsize=10, color="dimgray")
# Legend chips
mm_patch = plt.Line2D([0],[0], marker='s', color='w', label='Use money market',
markerfacecolor=color_mm, markersize=14)
sell_patch = plt.Line2D([0],[0], marker='s', color='w', label='Sell portfolio',
markerfacecolor=color_sell, markersize=14)
ax.legend(handles=[mm_patch, sell_patch], loc="upper left")
ax.set_xlabel("Cost basis (% of market value)")
ax.set_ylabel("Capital gains tax rate")
subtitle = (f"Horizon {T:.0f}y | MM {r_mm:.1%} | Mortgage {r_mort:.2%} | "
f"Expected rₚ {r_exp:.1%} | Δshield {(shield_sell - shield_use):.1%}")
ax.set_title(f"{title}\n{subtitle}", fontsize=12)
fig.text(0.5, -0.02,
"Decision boundary (black line): below the line → expected portfolio return rₚ is ABOVE breakeven r* → Use money-market proceeds; "
"above the line → rₚ is BELOW r* → Sell portfolio.",
ha='center', va='top', fontsize=10, color='dimgray')
fig.tight_layout()
return fig, pd.DataFrame(Rstar, index=[f"{y:.0%}" for y in tax_vals],
columns=[f"{x:.0%}" for x in cb_vals]), \
pd.DataFrame(np.where(decision_idx==1, "SELL", "MM"),
index=[f"{y:.0%}" for y in tax_vals],
columns=[f"{x:.0%}" for x in cb_vals])
# ---------- Streamlit UI ----------
st.set_page_config(page_title="Liquidity Decision Map", layout="wide")
st.title("Liquidity Decision Map (Python)")
st.caption("Square-cell decision heatmap comparing **Sell portfolio** vs **Use money-market cash** with IRS tracing-aware deductibility.")
with st.sidebar:
st.header("Assumptions")
T = st.number_input("Horizon (years)", value=10, min_value=1, max_value=60, step=1)
r_mm = st.number_input("Money market yield (decimal)", value=0.042, step=0.001, format="%.3f")
r_mort = st.number_input("Mortgage rate (decimal)", value=0.06, step=0.001, format="%.3f")
r_exp = st.number_input("Expected portfolio return (decimal)", value=0.05, step=0.001, format="%.3f")
st.header("Scenario / Shields")
scenario = st.radio(
"Preset",
["Personal use (Use-MM loses deduction)",
"Investment use (both retain deduction)",
"Personal + NII cap (partial in SELL)"],
index=0
)
if scenario == "Personal use (Use-MM loses deduction)":
shield_sell, shield_use = 0.37, 0.00
elif scenario == "Investment use (both retain deduction)":
shield_sell, shield_use = 0.37, 0.37
else:
shield_sell, shield_use = 0.15, 0.00
st.caption("Override shields (effective tax value of interest deductibility):")
shield_sell = st.number_input("SELL path shield (decimal)", value=float(shield_sell), step=0.01, min_value=0.0, max_value=0.5)
shield_use = st.number_input("USE-MM path shield (decimal)", value=float(shield_use), step=0.01, min_value=0.0, max_value=0.5)
st.header("Grid")
cb_min = st.number_input("Cost basis min (decimal)", value=0.30, step=0.05, min_value=0.0, max_value=1.0)
cb_max = st.number_input("Cost basis max (decimal)", value=0.90, step=0.05, min_value=0.0, max_value=1.0)
cb_steps= st.number_input("# cost basis steps", value=13, step=1, min_value=3, max_value=51)
tax_min = st.number_input("CGT min (decimal)", value=0.10, step=0.01, min_value=0.0, max_value=0.6)
tax_max = st.number_input("CGT max (decimal)", value=0.35, step=0.01, min_value=0.0, max_value=0.6)
tax_steps=st.number_input("# CGT steps", value=11, step=1, min_value=3, max_value=51)
# ---------- Step-by-step breakeven explainer ----------
def explain_breakeven(cb_pct, tax_rate, r_mm, T, r_mort, shield_sell, shield_use):
"""
Returns a dict with all intermediate pieces for the traced breakeven formula:
r* = ( ((1 - g*τ) * (1 + i*Δs*AF))^(1/T) * (1 + r_mm) ) - 1
where g = 1 - cb, Δs = shield_sell - shield_use, AF = (1 - (1+r_mm)^(-T))/r_mm
"""
g = 1.0 - cb_pct # embedded gain ratio
one_minus_wedge = 1.0 - g * tax_rate # net $ after CGT per $ sold
dshield = shield_sell - shield_use # difference in tax shields
AF = annuity_factor(r_mm, T) # annuity factor
adj = 1.0 + r_mort * dshield * AF # deductibility adjustment
r_star = ((one_minus_wedge * adj) ** (1.0 / T)) * (1.0 + r_mm) - 1.0
return {
"cb": cb_pct, "tax": tax_rate, "g": g,
"one_minus_wedge": one_minus_wedge,
"dshield": dshield, "AF": AF, "adj": adj,
"r_mm": r_mm, "T": T, "r_mort": r_mort, "r_star": r_star
}
def linspace(a, b, n):
if n <= 1: return np.array([a])
return np.linspace(a, b, int(n))
cb_vals = linspace(cb_min, cb_max, cb_steps)
tax_vals = linspace(tax_min, tax_max, tax_steps)
# Plot
title = ("Decision map — PERSONAL use of proceeds (tracing breaks if you use MM)"
if not np.isclose(shield_sell, shield_use) else
"Decision map — INVESTMENT use of proceeds (both retain deductibility)")
fig, df_rstar, df_decision = make_decision_heatmap(cb_vals, tax_vals, r_mm, T, r_mort, r_exp,
shield_sell, shield_use, title)
st.pyplot(fig, clear_figure=True)
# Explanation
# Download PNG
buf = io.BytesIO()
fig.savefig(buf, format="png", dpi=150, bbox_inches="tight")
st.download_button("Download PNG", data=buf.getvalue(), file_name="liquidity_decision_map.png", mime="image/png")
with st.expander("Show data tables"):
st.subheader("Breakeven r* (annualized)")
st.dataframe(df_rstar.style.format("{:.2%}"))
st.subheader("Decision")
st.dataframe(df_decision)
st.markdown(
"""
**How to read:**
- Each square shows the **breakeven return** \(r^*\).
- **Light green = Use money market** (your expected return \(r_p\) is **above** \(r^*\)).
- **Light blue = Sell portfolio** (your \(r_p\) is **below** \(r^*\)).
- The **black curve** is the decision boundary; the arrow points toward the **Sell** region.
"""
)
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