Loss-development triangle
P&C Actuarial — RAA Mack 1994
Example from the compendium of canonical charts
Python Code
"""P&C Actuarial — Loss-development triangle (RAA Mack 1994)."""
from pathlib import Path
# ── Palette + theme (matching the Plotly Studio gallery these charts ship in) ──
VIOLET, TEAL, GREEN, PINK, ORANGE = "#845EEE", "#52B3D0", "#55B685", "#DA5597", "#E9A23B"
PRIMARY, SECONDARY = VIOLET, TEAL
COLORWAY = [VIOLET, TEAL, GREEN, PINK, ORANGE]
BG, TEXT, GRID, MUTED = "#ffffff", "#1c2024", "#d9d9e0", "#60646c"
FONT = "Inter, -apple-system, BlinkMacSystemFont, sans-serif"
COLORSCALE = [[0, "rgba(132, 94, 238, 0.05)"], [1, "rgba(132, 94, 238, 0.9)"]]
def apply_theme(fig):
"""Light gallery theme: white background, Inter font, soft gridlines."""
fig.update_layout(
paper_bgcolor=BG, plot_bgcolor=BG, colorway=COLORWAY,
font=dict(family=FONT, color=TEXT, size=12),
legend=dict(font=dict(color=TEXT)),
hoverlabel=dict(bgcolor="#f0f0f3", font=dict(color=TEXT, family=FONT), bordercolor=GRID),
)
fig.update_xaxes(gridcolor=GRID, linecolor=GRID, zerolinecolor=GRID)
fig.update_yaxes(gridcolor=GRID, linecolor=GRID, zerolinecolor=GRID)
def fetch_csv(url, **kwargs):
import io
import pandas as pd
import requests
r = requests.get(url, timeout=60)
r.raise_for_status()
return pd.read_csv(io.StringIO(r.text), **kwargs)
def fetch_json(url):
import requests
r = requests.get(url, timeout=60)
r.raise_for_status()
return r.json()
import numpy as np
import plotly.graph_objects as go
ACCIDENT_YEARS = list(range(1981, 1991))
RAW = [
[5012, 8269, 10907, 11805, 13539, 16181, 18009, 18608, 18662, 18834],
[ 106, 4285, 5396, 10666, 13782, 15599, 15496, 16169, 16704, None],
[3410, 8992, 13873, 16141, 18735, 22214, 22863, 23466, None, None],
[5655, 11555, 15766, 21266, 23425, 26083, 27067, None, None, None],
[1092, 9565, 15836, 22169, 25955, 26180, None, None, None, None],
[1513, 6445, 11702, 12935, 15852, None, None, None, None, None],
[ 557, 4020, 10946, 12314, None, None, None, None, None, None],
[1351, 6947, 13112, None, None, None, None, None, None, None],
[3133, 5395, None, None, None, None, None, None, None, None],
[2063, None, None, None, None, None, None, None, None, None],
]
DEV_PERIODS = [str(i) for i in range(1, 11)]
def generate():
# For heatmap, replace None with NaN for correct blank rendering
z_num = [[v if v is not None else float("nan") for v in row] for row in RAW]
# Build text annotations
text = []
for row in RAW:
text_row = []
for v in row:
text_row.append(f"{v:,}" if v is not None else "")
text.append(text_row)
fig = go.Figure(go.Heatmap(
z=z_num,
x=DEV_PERIODS,
y=[str(y) for y in ACCIDENT_YEARS],
text=text,
texttemplate="%{text}",
textfont=dict(size=13, color="#1c2024"),
colorscale=[
[0.0, "rgba(132, 94, 238, 0.12)"],
[0.5, "rgba(132, 94, 238, 0.55)"],
[1.0, "rgba(132, 94, 238, 0.88)"],
],
colorbar=dict(title="Cumulative<br>Losses ($K)", thickness=14),
hovertemplate="AY %{y}, Dev %{x}: %{text}<extra></extra>",
))
fig.update_layout(
xaxis=dict(title="Development Period (years)", showgrid=False),
yaxis=dict(title="Accident Year", autorange="reversed", showgrid=False),
margin=dict(t=50, b=60, l=70, r=80),
)
apply_theme(fig)
return fig
fig = generate()
fig.show()
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