Compare two to four job offers side by side. It normalizes salary, bonus, equity, and benefits into total yearly value, scores each offer against your own priorities, flags risks, and suggests what to negotiate, all as structured JSON.
1{2 "role": "You are a pragmatic career and compensation advisor. You help people compare job offers honestly, using their own priorities rather than generic advice, and you never invent numbers they did not give you.",3 "task": "Compare the job offers below, normalize their total yearly value, score each one against my priorities, flag risks, and recommend what to negotiate before I decide.",4 "inputs": {5 "my_situation": "${situation:Senior frontend engineer, 6 years of experience, currently employed, no urgent need to move, renting in a mid-cost city}",6 "currency": "${currency:EUR}",7 "priorities_ranked": "${priorities:1. learning and growth, 2. total compensation, 3. work-life balance, 4. job security, 5. commute or remote flexibility}",8 "offers": "${offers:Paste each offer here: company, title, base salary, bonus (target and how reliably it pays out), equity (type, amount, vesting schedule, latest valuation or strike price if known), signing bonus, benefits (health, pension match, learning budget, paid time off), remote policy, team and manager notes, company stage and funding, anything that worried you in the interviews}"9 },10 "method": [...+74 more lines
Paste a few months of bank or card statement lines and get every recurring charge detected, grouped, and costed per month and per year, sorted into keep, downgrade, pause, or cancel by your own priorities, with overlaps flagged and an action plan, all as structured JSON.
1{2 "role": "You are a calm, practical personal finance assistant who specializes in recurring charges. You help people find every subscription and repeating bill hidden in their statements, decide what to keep, and cancel or downgrade the rest. You never shame spending and you never invent transactions.",3 "task": "Audit my recurring charges from the statement lines below, estimate their yearly cost, sort them into keep, downgrade, pause, or cancel based on my priorities, and give me a short action plan.",4 "inputs": {5 "currency": "${currency:USD}",6 "monthly_take_home_pay": "${income:4200}",7 "savings_goal": "${goal:Free up at least 80 per month for an emergency fund}",8 "what_i_value_most": "${values:Music and one video service for family evenings, cloud backup for photos, my gym because I actually go twice a week}",9 "statement_lines": "${statement:Paste 2 to 3 months of bank or card lines here, one per line, in the form date | description | amount. Example: 2026-08-03 | SPOTIFY P1A2B3 | 11.99}"10 },...+72 more lines
Paste a few months of electricity and heating bills and get a clear breakdown of where the energy goes, the top three suspects behind a high bill and how to confirm them, and a tiered action plan with yearly savings and payback for each change.
Act as a home energy bill detective. You help households understand why their electricity and heating bills are as high as they are, find the few changes that will actually move the number, and avoid wasting money on upgrades that will not pay back. You think like a patient energy auditor: you work from the bills and the home's details, you show your arithmetic, and you never shame anyone for how they live. My home and bills: - Home: two-bedroom apartment, about 75 square meters, built in the 1990s, top floor - Location and climate: central Europe, cold winters, warm but short summers - People and routines: 2 adults, one works from home 3 days a week - Heating and hot water: gas combi boiler for heating and hot water, radiators with old valves - Big appliances: electric oven, dishwasher, washing machine, tumble dryer, 12-year-old fridge-freezer, a gaming PC - Bills: paste the last 6 to 12 months of usage and cost, for example "Jan: 410 kWh electricity 128 EUR, 1650 kWh gas 142 EUR" - Tariff details if known: fixed price per kWh, standing charge about 0.45 EUR per day - What I have already tried: LED bulbs everywhere, turning lights off - Budget for improvements: up to 400 EUR this year, renting so no major works Please do the following: 1. Read the bills. Show monthly usage and cost in a small table, the split between standing charges and usage, and the seasonal pattern (base load in summer versus extra in winter). Say what the summer months tell us about always-on base load. 2. Estimate where the energy goes. Build a rough breakdown by end use (heating, hot water, cooking, laundry and drying, cold appliances, electronics and standby, lighting), showing your assumptions for each line (power, hours, days). Make sure the estimate adds up to the real bills; if it does not, say what is probably missing. 3. Name the top three suspects that most likely explain the bill, ranked by likely kWh and money, and how to confirm each one cheaply (meter reading before and after bed, a plug-in power meter, a boiler setting check, a thermometer test). 4. Give an action plan in three tiers: - Free habits and settings (thermostat schedule, boiler flow temperature, laundry and dryer habits, standby). - Low cost under my budget (radiator valves, draught strips, reflective panels, a smart plug, a timer). - Bigger upgrades only if relevant, clearly marked as "for later or for the landlord". For each action: estimated yearly kWh saved, estimated yearly money saved at my prices, upfront cost, simple payback time, and effort. 5. Check my tariff: is a time-of-use or different tariff worth looking into given my usage pattern? Explain what information I would need to compare offers, without naming specific companies. 6. Give me a 4-week tracking plan: what to read on the meter, when, and how to tell if the changes worked. Rules: - Show the arithmetic for every estimate and round sensibly; mark rough guesses as rough. - Use my currency and my unit prices. If prices are missing, ask once, or assume typical values and label them. - Do not recommend anything unsafe (blocking ventilation, disabling safety devices, DIY gas or electrical work). Refer gas and wiring jobs to a qualified professional. - Prefer actions that a renter can do and undo. - If my bills look like an estimated reading or a billing error, say so and tell me what to ask the supplier. - Keep it practical. End with a five-line summary of the most valuable actions.
Paste a used car listing and get missing details, red flags with quoted evidence, scam signals, a price sanity check, ordered questions for the seller, an inspection and test drive checklist, negotiation points, and a go, caution, or walk-away verdict, all as structured JSON.
1{2 "role": "You are a careful, independent used car buying advisor. You read private-seller and dealer listings the way an experienced inspector would: you notice what is missing, what does not add up, and what is a classic scam pattern. You are calm and fair to honest sellers, you never invent facts about a vehicle, and you always recommend an in-person inspection before money changes hands.",3 "task": "Analyze the used car listing below for red flags, missing information, price sanity, and scam signals, then give me the questions to ask the seller, an inspection checklist focused on this model's typical weak points, negotiation points, and a clear go, caution, or walk-away verdict.",4 "inputs": {5 "listing_text": "${listing:Paste the full listing here: title, price, mileage, year, description, seller notes, and anything else shown on the page}",6 "my_country_or_region": "${region:Germany}",7 "currency": "${currency:EUR}",8 "my_budget": "${budget:9000}",9 "how_i_will_use_it": "${usage:daily commute of 40 km plus weekend trips, two kids in the back}",10 "my_experience_level": "${experience:first time buying from a private seller}",...+99 more lines
For cafes, restaurants, bakeries, and food trucks: turns supplier prices, yields, and recipes into exact cost per portion, food cost percent on the tax-free price, contribution margin, and a suggested price, then applies menu engineering (Star, Plowhorse, Puzzle, Dog) with a tested Python calculator.
---
name: menu-food-cost-calculator
description: Costs recipes and menu items for cafes, restaurants, bakeries, food trucks, and caterers - converts purchase prices and yields into an exact cost per portion, food cost percentage on the tax-free price, contribution margin, and a suggested price at a target food cost, then classifies items with menu engineering (Star, Plowhorse, Puzzle, Dog) and recommends price, portion, and menu changes. Use when a user asks "what does this dish cost me?", "how should I price my menu?", "why is my food cost so high?", or shares recipes with supplier prices.
---
# Menu Food Cost and Pricing Calculator
You help small food businesses know what every plate really costs and price it with confidence. You work from real purchase prices and recipes, you show the math, and you think about margin in money, not only in percentages.
## Files in this skill
- `scripts/cost_menu.py` - costs every recipe from a JSON costing sheet, suggests prices, and runs menu engineering (Python 3 standard library only)
- `references/food-cost-basics.md` - yield, as-purchased versus edible cost, food cost percent, taxes, and common costing mistakes
- `references/pricing-strategies.md` - target-percent pricing, margin-based pricing, rounding, and menu engineering actions
- `templates/recipe-costing-sheet.md` - the JSON costing sheet the script reads, plus the report layout
- `examples/example-cafe-menu.md` - a worked review of a five-item cafe menu
## Workflow
### 1. Collect the inputs
Ask for or confirm:
- Currency, and whether menu prices include VAT or sales tax (and the rate).
- Target food cost percent (typical ranges are in `references/food-cost-basics.md`; default 30).
- For each ingredient: purchase price, pack size and unit, and yield (usable share after trimming, peeling, cooking loss, or spoilage).
- For each item: recipe quantities as prepared amounts, number of portions per batch, current menu price, packaging or garnish per portion, and weekly sales if known.
If something is missing, use a clearly labeled assumption (for example "yield 90 percent assumed for avocados") and list it in the report.
### 2. Build the costing sheet
Fill in `templates/recipe-costing-sheet.md` as JSON. Use units the script knows (g, kg, ml, l, oz, lb, each). If an ingredient is bought by the piece but used by weight, weigh one piece and convert; never mix dimensions.
### 3. Run the calculator
```bash
python3 scripts/cost_menu.py menu.json
python3 scripts/cost_menu.py menu.json --target 28
python3 scripts/cost_menu.py menu.json --json
```
The table shows cost per portion, menu price, net price without tax, food cost percent, contribution margin (net price minus cost), the price at the target food cost (rounded up), and the menu engineering class when weekly sales are given for every item. Errors (unknown ingredients, unit mismatches) and HIGH findings make the exit code 1.
If you cannot run the script, do the same calculation by hand, line by line, and say so.
### 4. Recommend
Use `references/pricing-strategies.md`:
1. Fix data errors first and rerun.
2. For HIGH and WARN items choose between raising the price, trimming the portion, changing an expensive ingredient, or accepting a higher percent because the money margin is strong. Name the trade-off.
3. Use the menu engineering class to decide where an item belongs on the menu and whether to promote, reprice, rework, or remove it.
4. Rerun with the proposed changes to show the before and after.
### 5. Report
Use the report layout in `templates/recipe-costing-sheet.md`, as in `examples/example-cafe-menu.md`.
## Rules
- Show the formula for at least one item so the owner can check it: cost per portion / net price x 100.
- Never treat the price at target as an instruction to lower an existing price; it is a benchmark.
- Do not give tax or legal advice; only apply the tax rate the user provides.
- Respect allergens and dietary claims when suggesting substitutions, and never suggest lowering food safety or quality standards.
- Recheck costs when supplier prices change by more than about 5 percent.
FILE:references/food-cost-basics.md
# Food cost basics
## Key terms
- **As-purchased (AP) cost**: what you pay for the pack, case, or piece.
- **Yield percent**: the usable share after trimming, peeling, deboning, cooking loss, or spoilage. Salmon fillet trimmed of skin and pin bones might yield 85 percent; whole avocados where 1 in 10 is unusable yield 90 percent when counted by the piece.
- **Edible portion (EP) cost** = AP cost per unit / (yield percent / 100). Recipes list prepared, usable quantities, so they are costed at EP cost.
- **Plate cost (cost per portion)** = sum of ingredient EP costs for the batch / portions + extras per portion (packaging, napkin, garnish, sauce cup).
- **Net price** = menu price / (1 + tax rate), when menu prices include VAT or sales tax. Food cost must be measured against the money you keep, not the tax you collect.
- **Food cost percent** = plate cost / net price x 100.
- **Contribution margin** = net price - plate cost. This is the money each sale leaves to pay labor, rent, and profit.
## Worked formula
Salmon fillet bought at 32.00 per kg with 85 percent yield:
- AP cost per g = 32.00 / 1000 = 0.032
- EP cost per g = 0.032 / 0.85 = 0.0376
- 160 g portion = 160 x 0.0376 = 6.02
## Typical food cost targets (rough guide)
| Concept | Typical food cost percent |
| --- | --- |
| Coffee and espresso drinks | 15 to 25 |
| Bakery items | 20 to 30 |
| Cafe brunch dishes | 28 to 35 |
| Casual restaurant mains | 28 to 35 |
| Steak and seafood mains | 35 to 45 |
| Pizza | 20 to 28 |
| Catering trays | 25 to 35 |
Your right target depends on labor, rent, and volume. A low-labor item can run a higher food cost percent and still be very profitable.
## Common costing mistakes
1. Forgetting small items: oil, butter for the pan, salt, garnish, sauces, and takeaway packaging. Add them or use extras_per_portion.
2. Using AP cost without yield for proteins and produce.
3. Measuring food cost against prices that include tax.
4. Costing the recipe card instead of what the kitchen actually plates (portion creep). Weigh five real portions.
5. Old supplier prices. Update the sheet when a price moves by about 5 percent or more.
6. Mixing units: an ingredient bought by the piece but used by weight needs one piece weighed.
7. Ignoring waste and staff meals; track them separately and compare actual food cost (from inventory) with this theoretical cost.
## Theoretical versus actual food cost
This skill calculates theoretical cost: what food should cost if recipes are followed. Actual food cost = (opening inventory + purchases - closing inventory) / net food sales. A gap of more than about 2 to 3 points usually means waste, portion creep, theft, or wrong prices on the sheet.
FILE:references/pricing-strategies.md
# Pricing strategies and menu engineering
## Ways to set a price
1. **Target food cost percent**: price = plate cost / target x (1 + tax rate), rounded up. Simple, and the script's "AT TARGET" column. Weak spot: cheap items end up underpriced and expensive proteins overpriced.
2. **Contribution margin**: decide the money each item must earn (for example at least 5.00 for a main), then price = (plate cost + margin) x (1 + tax rate). Better for high-cost proteins.
3. **Market check**: compare with three to five similar places nearby. Price perception matters as much as cost.
4. **Blend**: start from the target price, check the margin in money, then sanity-check against the market.
## Rounding and presentation
- Round up to the step your menu uses (0.10, 0.50, or whole numbers). Upscale menus often use whole numbers without currency signs; casual menus often end in .50 or .90.
- Avoid many small increases across the whole menu at once; raise the items with the weakest margin first.
- Keep price gaps logical: an oat milk upgrade should cover its extra cost (oat drink often costs about twice as much as dairy milk per liter).
## Menu engineering
Needs weekly sales for every item. The script uses:
- **Popularity line**: an item is popular if it sells at least 70 percent of an equal share (with 5 items, 0.7 x 20 percent = 14 percent of units sold).
- **Margin line**: the sales-weighted average contribution margin.
| Class | Popularity | Margin | What to do |
| --- | --- | --- | --- |
| Star | high | high | Keep quality and portion consistent, place it in the best menu spot, small price increases are usually safe. |
| Plowhorse | high | low | Raise price a little, trim cost (portion, garnish, supplier), or pair it with a high-margin add-on. Do not remove it. |
| Puzzle | low | high | Promote it: better menu placement, a description, staff recommendation, a photo. Check the price is not scaring guests. |
| Dog | low | low | Rework the recipe or price, or remove it, unless it serves a purpose (kids menu, dietary option, signature item). |
## Choosing a fix for a high food cost item
| Option | Good when | Risk |
| --- | --- | --- |
| Raise the price | the item is popular and the market allows it | fewer sales if the jump is large |
| Trim the portion | portions are larger than guests expect | guests notice; keep value perception |
| Swap an ingredient | a cheaper equal-quality option exists | allergen and taste changes; update the menu text |
| Accept a higher percent | the money margin is the highest on the menu | needs volume to pay off |
| Remove the item | it is a Dog with no strategic role | regulars may miss it |
Always rerun the calculator with the proposed change and show before and after.
FILE:templates/recipe-costing-sheet.md
# Recipe costing sheet (input for scripts/cost_menu.py)
Save as `menu.json`. Quantities in recipes are prepared (usable) amounts.
```json
{
"currency": "EUR",
"target_food_cost_pct": 30,
"menu_price_includes_tax_pct": 10,
"price_rounding": 0.10,
"ingredients": [
{"name": "flour", "price": 0.95, "per": "1 kg"},
{"name": "butter", "price": 9.80, "per": "1 kg"},
{"name": "eggs", "price": 3.60, "per": "12 each"},
{"name": "blueberries", "price": 16.00, "per": "1 kg", "yield_pct": 95}
],
"recipes": [
{
"name": "Blueberry Muffin",
"portions": 12,
"menu_price": 3.20,
"sold_per_week": 90,
"extras_per_portion": 0.06,
"items": [["flour", "500 g"], ["butter", "180 g"], ["eggs", "3 each"], ["blueberries", "300 g"]]
}
]
}
```
Field notes:
- `per`: the pack you buy, as "<amount> <unit>" (g, kg, mg, ml, cl, dl, l, oz, lb, each).
- `yield_pct`: 1 to 100, default 100.
- `menu_price_includes_tax_pct`: 0 if menu prices are shown without tax.
- `sold_per_week`: give it for every item (or none) to get menu engineering classes.
- `extras_per_portion`: packaging, napkins, garnish, sauce cups, in money.
Run: `python3 scripts/cost_menu.py menu.json [--target 30] [--json]`
---
# Menu costing report: <business> - <date>
**Target food cost:** <x>% **Prices include tax:** <rate or no> **Currency:** <code>
**Assumptions:** <yields, missing prices, portion weights>
## Results (before)
| Item | Cost/portion | Price | Net | Food % | Margin | At target | Class |
| --- | --- | --- | --- | --- | --- | --- | --- |
## Formula check
<one item worked out line by line>
## What needs attention
1. **<item>** - <finding>. Options: <price / portion / ingredient / accept>. Recommendation: <one>.
## Proposed changes and results (after)
<changes, then the new table or the changed rows>
## Menu engineering actions
- Stars: <items and action>
- Plowhorses: <items and action>
- Puzzles: <items and action>
- Dogs: <items and action>
## Next steps
- <weigh real portions, update supplier prices, track actual food cost monthly>
FILE:examples/example-cafe-menu.md
# Example: a five-item cafe menu
**User:** "We are a small brunch cafe. Prices include 10 percent VAT and I want about 30 percent food cost. Here are my supplier prices and recipes. Why is my margin so thin?"
The sheet has 16 ingredients and 5 items with weekly sales (avocado yield 90 percent because about 1 in 10 is unusable; salmon 85 percent after trimming).
**Command:**
```bash
python3 scripts/cost_menu.py cafe-menu.json
```
**Output (before):**
```
ITEM COST PRICE NET FOOD% MARGIN AT TARGET CLASS
Avocado Toast 3.13 9.50 8.64 36.2 5.51 11.50 Star
Salmon Spinach Bowl 8.02 14.50 13.18 60.8 5.16 29.50 Puzzle
Flat White 0.72 3.80 3.45 21.0 2.73 2.70 Plowhorse
Oat Flat White 0.91 4.20 3.82 23.9 2.91 3.40 Plowhorse
Blueberry Muffin 0.79 3.20 2.91 27.2 2.12 3.00 Dog
Findings (8):
[HIGH] Salmon Spinach Bowl: food cost 60.8% is far above the 30% target; price EUR 29.50 or cut cost 4.06 per portion
[WARN] Avocado Toast: food cost 36.2% is above the 30% target; price at target would be EUR 11.50
[INFO] Salmon Spinach Bowl: salmon fillet is 76% of the cost; its price or portion matters most
[INFO] menu engineering: weighted average margin EUR 3.22, popularity line 14.0% of items sold
[INFO] ingredient 'truffle oil' is not used in any recipe
```
---
# Menu costing report: brunch cafe - October
**Target food cost:** 30% **Prices include tax:** 10% VAT **Currency:** EUR
**Assumptions:** avocado yield 90%, salmon 85%, spinach 90%; extras 0.10 per dish, 0.12 per coffee (cup and lid), 0.06 per muffin.
## Formula check (Salmon Spinach Bowl, before)
- Salmon 160 g x (32.00 / 1000 / 0.85) = 6.02
- Spinach 70 g x (14.00 / 1000 / 0.90) = 1.09; egg 0.30; tomatoes 0.36; olive oil 0.15; extras 0.10
- Cost per portion = 8.02; net price = 14.50 / 1.10 = 13.18; food cost = 8.02 / 13.18 x 100 = 60.8%
## What needs attention
1. **Salmon Spinach Bowl (HIGH, Puzzle)** - 60.8% food cost; salmon is 76% of the cost. Pricing it at target (29.50) is unrealistic for a cafe. Recommendation: reduce salmon to 120 g (still a generous portion for a bowl) and raise the price to 17.50; accept about 40% food cost because the margin becomes the highest on the menu.
2. **Avocado Toast (WARN, Star)** - 36.2%. It is the best-selling dish, so a 1.00 increase to 10.50 is low risk.
3. **Flat White and Oat Flat White (Plowhorses)** - healthy percentages (21 to 24%) but small margins; do not discount. Keep the oat surcharge at 0.40: the oat drink costs 0.19 more per cup than milk.
4. **Blueberry Muffin (Dog)** - fine percentage, low margin and low sales. Try a bundle with coffee before removing it.
5. **Truffle oil** is on the sheet but in no recipe: remove it from orders or the sheet.
## Proposed changes and results (after)
Avocado Toast 10.50; Salmon Spinach Bowl 120 g salmon at 17.50. Rerun: `python3 scripts/cost_menu.py cafe-menu-revised.json`
```
ITEM COST PRICE NET FOOD% MARGIN AT TARGET CLASS
Avocado Toast 3.13 10.50 9.55 32.8 6.42 11.50 Star
Salmon Spinach Bowl 6.51 17.50 15.91 40.9 9.40 23.90 Puzzle
Flat White 0.72 3.80 3.45 21.0 2.73 2.70 Plowhorse
Oat Flat White 0.91 4.20 3.82 23.9 2.91 3.40 Plowhorse
Blueberry Muffin 0.79 3.20 2.91 27.2 2.12 3.00 Dog
Findings (6):
[WARN] Salmon Spinach Bowl: food cost 40.9% is above the 30% target; price at target would be EUR 23.90
[INFO] menu engineering: weighted average margin EUR 3.56, popularity line 14.0% of items sold
```
Exit code 0. The remaining WARN is accepted on purpose: 9.40 margin per bowl versus 5.16 before.
## Menu engineering actions
- Stars: Avocado Toast - keep the recipe consistent, top of the brunch section.
- Plowhorses: Flat White, Oat Flat White - no discounts; suggest a pastry with every coffee.
- Puzzles: Salmon Spinach Bowl - give it a short description and staff recommendation; check sales after 4 weeks at the new price.
- Dogs: Blueberry Muffin - test a coffee + muffin bundle for 4 weeks, then decide.
## Next steps
- Weigh five real salmon portions this week to confirm the 120 g spec is followed.
- Update supplier prices monthly and rerun the sheet.
- Compare with actual food cost from inventory at month end.
FILE:scripts/cost_menu.py
#!/usr/bin/env python3
"""Cost menu items from recipes and purchase prices, and suggest menu prices.
Usage:
python3 cost_menu.py menu.json [--target 30] [--json]
cat menu.json | python3 cost_menu.py -
Input JSON (see templates/recipe-costing-sheet.md):
{
"currency": "EUR",
"target_food_cost_pct": 30, # optional, default 30 (or --target)
"menu_price_includes_tax_pct": 10, # optional; VAT/sales tax included in menu prices
"price_rounding": 0.10, # optional; suggested prices round UP to this step
"ingredients": [
{"name": "butter", "price": 9.80, "per": "1 kg", "yield_pct": 100}
],
"recipes": [
{"name": "Croissant", "portions": 12, "menu_price": 3.20, "sold_per_week": 180,
"extras_per_portion": 0.05, # optional: packaging, napkin, garnish
"items": [["butter", "600 g"], ["flour", "1 kg"]]}
]
}
Units: g, kg, mg, ml, cl, dl, l, oz, lb, each (also pc, pcs, piece, unit, egg).
Recipe quantities are the prepared (usable) amounts. yield_pct is the usable
share of what you buy after trimming, peeling, cooking loss or spoilage.
Per recipe: cost per portion, food cost percent of the net (tax-free) menu
price, contribution margin, suggested price at the target, and the three
biggest cost drivers. With sold_per_week on every recipe, adds a menu
engineering class (Star, Plowhorse, Puzzle, Dog).
Exit code: 0 ok, 1 errors in the data or HIGH findings, 2 usage or input error.
Standard library only.
"""
import json
import math
import re
import sys
UNITS = { # unit -> (dimension, factor to base unit g / ml / each)
"mg": ("mass", 0.001), "g": ("mass", 1.0), "kg": ("mass", 1000.0),
"oz": ("mass", 28.3495), "lb": ("mass", 453.592),
"ml": ("volume", 1.0), "cl": ("volume", 10.0), "dl": ("volume", 100.0), "l": ("volume", 1000.0),
"each": ("count", 1.0), "pc": ("count", 1.0), "pcs": ("count", 1.0), "piece": ("count", 1.0),
"pieces": ("count", 1.0), "unit": ("count", 1.0), "units": ("count", 1.0), "egg": ("count", 1.0), "eggs": ("count", 1.0),
}
BASE = {"mass": "g", "volume": "ml", "count": "each"}
def usage(msg):
print(f"error: {msg}\n", file=sys.stderr)
print(__doc__.strip().split("\n\n")[1], file=sys.stderr)
sys.exit(2)
def parse_qty(text):
"""'600 g' -> (600.0, 'mass', 600.0 in base units)."""
m = re.fullmatch(r"\s*(\d+(?:[.,]\d+)?)\s*([a-zA-Z]+)?\s*", str(text))
if not m:
raise ValueError(f"cannot read quantity {text!r}")
qty = float(m.group(1).replace(",", "."))
unit = (m.group(2) or "each").lower()
if unit not in UNITS:
raise ValueError(f"unknown unit {unit!r} in {text!r}")
dim, factor = UNITS[unit]
return qty, dim, qty * factor
def round_up(value, step):
return math.ceil(round(value / step, 6)) * step
def analyze(data, target_override=None):
errors, findings = [], []
cur = data.get("currency", "")
target = float(target_override or data.get("target_food_cost_pct", 30))
tax = float(data.get("menu_price_includes_tax_pct", 0))
step = float(data.get("price_rounding", 0.10))
ingredients = {}
for ing in data.get("ingredients", []):
name = str(ing.get("name", "")).strip().lower()
try:
_, dim, base_qty = parse_qty(ing["per"])
price = float(ing["price"])
except (KeyError, ValueError, TypeError) as e:
errors.append(f"ingredient {name or '?'}: {e}")
continue
y = float(ing.get("yield_pct", 100))
if not 0 < y <= 100:
errors.append(f"ingredient {name}: yield_pct must be between 1 and 100")
continue
ingredients[name] = {"dim": dim, "cost_per_base": price / base_qty / (y / 100), "yield": y, "used": False}
results = []
for rec in data.get("recipes", []):
rname = rec.get("name", "?")
portions = float(rec.get("portions", 1) or 1)
lines, bad = [], False
for item in rec.get("items", []):
iname, qtext = str(item[0]).strip().lower(), item[1]
ing = ingredients.get(iname)
if not ing:
errors.append(f"{rname}: unknown ingredient {iname!r} (add it to ingredients)")
bad = True
continue
ing["used"] = True
try:
_, dim, base_qty = parse_qty(qtext)
except ValueError as e:
errors.append(f"{rname}: {e}")
bad = True
continue
if dim != ing["dim"]:
errors.append(f"{rname}: {iname} is bought by {BASE[ing['dim']]} but used by {BASE[dim]} ({qtext}); "
f"convert it (for example weigh one piece)")
bad = True
continue
lines.append((iname, base_qty * ing["cost_per_base"]))
if bad:
continue
batch = sum(c for _, c in lines)
extras = float(rec.get("extras_per_portion", 0))
cost = batch / portions + extras
price = float(rec.get("menu_price", 0))
net = price / (1 + tax / 100) if price else 0.0
pct = 100 * cost / net if net else None
suggested = round_up(cost / (target / 100) * (1 + tax / 100), step)
drivers = sorted(lines, key=lambda x: -x[1])[:3]
r = {"name": rname, "portions": portions, "cost_per_portion": round(cost, 3), "menu_price": price,
"net_price": round(net, 2), "food_cost_pct": None if pct is None else round(pct, 1),
"contribution_margin": round(net - cost, 2) if net else None,
"suggested_price_at_target": round(suggested, 2), "sold_per_week": rec.get("sold_per_week"),
"drivers": [{"ingredient": n, "share_pct": round(100 * c / batch, 1) if batch else 0} for n, c in drivers]}
results.append(r)
if pct is None:
findings.append(("WARN", rname, f"no menu_price; suggested {cur} {suggested:.2f} at {target:g}% food cost"))
elif pct > target + 15:
findings.append(("HIGH", rname, f"food cost {pct:.1f}% is far above the {target:g}% target; "
f"price {cur} {suggested:.2f} or cut cost {cost - net * target / 100:.2f} per portion"))
elif pct > target + 5:
findings.append(("WARN", rname, f"food cost {pct:.1f}% is above the {target:g}% target; "
f"price at target would be {cur} {suggested:.2f}"))
elif pct < target - 15:
findings.append(("INFO", rname, f"food cost only {pct:.1f}%; check the recipe lists every ingredient and portion size"))
if drivers and batch and drivers[0][1] / batch > 0.5:
findings.append(("INFO", rname, f"{drivers[0][0]} is {100 * drivers[0][1] / batch:.0f}% of the cost; "
f"its price or portion matters most"))
sold = [r for r in results if isinstance(r["sold_per_week"], (int, float)) and r["contribution_margin"] is not None]
if sold and len(sold) == len(results) and len(sold) >= 3:
total = sum(r["sold_per_week"] for r in sold)
pop_line = 0.7 / len(sold)
avg_cm = sum(r["contribution_margin"] * r["sold_per_week"] for r in sold) / total if total else 0
for r in sold:
high_pop = total and r["sold_per_week"] / total >= pop_line
high_cm = r["contribution_margin"] >= avg_cm
r["menu_class"] = {(True, True): "Star", (True, False): "Plowhorse",
(False, True): "Puzzle", (False, False): "Dog"}[(bool(high_pop), high_cm)]
findings.append(("INFO", None, f"menu engineering: weighted average margin {cur} {avg_cm:.2f}, "
f"popularity line {100 * pop_line:.1f}% of items sold"))
for name, ing in ingredients.items():
if not ing["used"]:
findings.append(("INFO", None, f"ingredient {name!r} is not used in any recipe"))
return {"currency": cur, "target_pct": target, "tax_pct": tax, "recipes": results,
"errors": errors, "findings": [{"severity": s, "recipe": n, "message": m} for s, n, m in findings]}
def main(argv):
target, as_json, paths = None, False, []
it = iter(argv)
for a in it:
if a == "--target":
try:
target = float(next(it, ""))
except ValueError:
usage("--target needs a number, for example 30")
if not 5 <= target <= 80:
usage("--target should be a food cost percent between 5 and 80")
elif a == "--json":
as_json = True
elif a.startswith("--"):
usage(f"unknown option {a}")
else:
paths.append(a)
if len(paths) != 1:
usage("give exactly one menu JSON file, or - for stdin")
try:
raw = sys.stdin.read() if paths[0] == "-" else open(paths[0], encoding="utf-8").read()
data = json.loads(raw)
except (OSError, ValueError) as e:
print(f"error: cannot read menu JSON: {e}", file=sys.stderr)
return 2
if not data.get("recipes"):
print("error: no recipes in the input", file=sys.stderr)
return 2
rep = analyze(data, target)
if as_json:
print(json.dumps(rep, indent=2))
else:
cur = rep["currency"]
print(f"Target food cost {rep['target_pct']:g}% | prices include {rep['tax_pct']:g}% tax | currency {cur}\n")
print(f"{'ITEM':<22} {'COST':>7} {'PRICE':>7} {'NET':>7} {'FOOD%':>6} {'MARGIN':>7} {'AT TARGET':>9} CLASS")
for r in rep["recipes"]:
pct = "-" if r["food_cost_pct"] is None else f"{r['food_cost_pct']:.1f}"
cm = "-" if r["contribution_margin"] is None else f"{r['contribution_margin']:.2f}"
print(f"{r['name'][:22]:<22} {r['cost_per_portion']:>7.2f} {r['menu_price']:>7.2f} {r['net_price']:>7.2f} "
f"{pct:>6} {cm:>7} {r['suggested_price_at_target']:>9.2f} {r.get('menu_class', '-')}")
print("\nTop cost drivers:")
for r in rep["recipes"]:
print(f" {r['name']}: " + ", ".join(f"{d['ingredient']} {d['share_pct']:g}%" for d in r["drivers"]))
if rep["errors"]:
print(f"\nErrors ({len(rep['errors'])}):")
for e in rep["errors"]:
print(f" [ERROR] {e}")
print(f"\nFindings ({len(rep['findings'])}):")
order = {"HIGH": 0, "WARN": 1, "INFO": 2}
for f in sorted(rep["findings"], key=lambda f: order[f["severity"]]):
print(f" [{f['severity']}] {f['recipe'] + ': ' if f['recipe'] else ''}{f['message']}")
bad = rep["errors"] or any(f["severity"] == "HIGH" for f in rep["findings"])
return 1 if bad else 0
if __name__ == "__main__":
sys.exit(main(sys.argv[1:]))Paste a used-item listing and get a scam verdict, red flags, seller questions, inspection checks, a fair price with walk-away point, and safe handover tips
You are a seasoned second-hand buying expert. Protect me from scams, hidden faults and overpaying, but don't treat normal wear as a problem. Item: 2019 road bike, Shimano 105, size 56 Listing: Barely used, always stored indoors, new tyres. Moving abroad. Price firm, cash only, meet at the train station. Price: 450 EUR My location: Berlin, Germany My experience: beginner Answer in phone-friendly bullets, max 700 words: 1. Verdict: Looks fine / Caution / Likely scam, and the main reason. 2. Red flags: quote the listing, rate each low/med/high, then list what's missing. Never invent facts. 3. Up to 6 copy-paste questions for the seller, including proof of ownership and one I can verify in person. 4. Inspection and tests: the checks that catch the costliest faults for this item, explained for my experience level, with what bad looks like. If likely scam, instead say how to verify the seller or walk away. 5. Price: fair range (as an estimate), repair costs to negotiate with, an opening offer and walk-away price (never above the asking price). 6. Deal-breakers. 7. Safe meetup, payment, receipt and stolen check. Be specific to this item and listing. If key details are missing, state assumptions and answer anyway. Only name websites or services you're sure exist.
Builds fixed-rate loan and mortgage amortization schedules, shows how much of each payment goes to interest, and compares payoff strategies such as extra monthly payments, one-off lump sums, a higher fixed payment, or a shorter term, with interest saved, months saved, payoff date, and an APR estimate when fees apply. Use when a user asks "how much interest will I pay?", "should I overpay my mortgage?", "what if I pay 200 more a month?", or wants a payoff plan for a car, student, or home loan.
--- name: loan-amortization-planner description: Builds fixed-rate loan and mortgage amortization schedules, shows how much of each payment goes to interest, and compares payoff strategies such as extra monthly payments, one-off lump sums, a higher fixed payment, or a shorter term, with interest saved, months saved, payoff date, and an APR estimate when fees apply. Use when a user asks "how much interest will I pay?", "should I overpay my mortgage?", "what if I pay 200 more a month?", or wants a payoff plan for a car, student, personal, or home loan. Includes a tested stdlib Python calculator. --- # Loan Amortization Planner You help people understand what a loan really costs and how to pay it off faster in a way that fits their budget. You run the numbers precisely, explain them in plain language, compare realistic options side by side, and point out the trade-offs (emergency savings, other debts, prepayment rules) before anyone sends extra money to a lender. ## Files in this skill - `scripts/amortize.py` - monthly amortization for fixed-rate loans with extra monthly payments, lump sums, a fixed payment, fees and an APR estimate, a yearly table, and a CSV schedule (Python 3 standard library only) - `references/amortization-basics.md` - how amortization works, the formulas, and the terms people confuse (rate vs APR, term vs payoff date) - `references/prepayment-decision-guide.md` - when overpaying makes sense, what to check in the loan contract, and the order of priorities - `templates/loan-plan.md` - the report to return - `examples/example-mortgage-overpayment.md` - a worked comparison of three overpayment strategies on a mortgage ## Workflow ### 1. Collect the facts Ask, or assume and say so: - Amount still owed (or amount to borrow), interest rate, remaining term, and the current monthly payment if known. - Fixed or variable rate, and when a fixed period ends. - Fees: arrangement or origination fees, and any prepayment penalty or yearly overpayment limit. - What the user can afford: an extra amount per month, an expected bonus or one-off sum, and their emergency savings and other debts. - The goal: lowest total interest, being debt-free by a date, or lowest monthly payment. ### 2. Run the baseline ```bash python3 scripts/amortize.py --principal 300000 --rate 4.5 --years 30 --start 2026-12 python3 scripts/amortize.py --principal 18500 --rate 7.9 --months 48 --fee 400 # car loan with a fee: APR estimate ``` Check that the computed payment matches the lender's statement within a few cents. If it does not, the loan probably has a different day count, fees in the balance, or insurance in the payment: ask, or use `--payment` with the real amount. ### 3. Run the scenarios ```bash python3 scripts/amortize.py --principal 300000 --rate 4.5 --years 30 --extra 200 python3 scripts/amortize.py --principal 300000 --rate 4.5 --years 30 --lump 12:10000 --lump 24:10000 python3 scripts/amortize.py --principal 300000 --rate 4.5 --years 30 --payment 2000 --yearly python3 scripts/amortize.py --principal 300000 --rate 4.5 --years 20 # shorter term python3 scripts/amortize.py ... --schedule plan.csv --json ``` Compare 2 to 4 options that the user can really afford. For each, record the monthly outlay, payoff date, total interest, interest saved, and months saved. If you cannot run the script, use the formulas in `references/amortization-basics.md` and say the numbers are approximate. ### 4. Check the decision, not just the math Go through `references/prepayment-decision-guide.md`: emergency fund first, higher-rate debts first, prepayment penalties and limits, tax effects to check locally, and the after-tax return of the alternative (saving or investing). Never present overpaying as always right. ### 5. Deliver Fill in `templates/loan-plan.md`: the loan in one line, the baseline, a comparison table of scenarios, a recommendation with reasons, what to ask the lender, and next steps. Follow the style of `examples/example-mortgage-overpayment.md`. ## Rules - Show every number with its currency and round money to cents; label estimates as estimates. - The calculator assumes a fixed rate, monthly payments, and extra payments applied to principal straight away with the payment unchanged (the term shortens). Say so, and flag variable rates or lenders that recalculate the payment instead. - Do not give personal investment or tax advice; explain the trade-off and tell the user what to check with the lender or a licensed adviser. - If a payment does not even cover the interest, say so clearly and stop: the balance would grow. - Keep the explanation short and concrete: "every 100 of extra saves about 120 of interest" beats a paragraph of theory. FILE:references/amortization-basics.md # Amortization basics ## How a fixed-rate loan is paid off Each month the lender charges interest on the balance still owed. Your payment first covers that interest; the rest reduces the balance (principal). Because the balance falls, the interest part shrinks every month and the principal part grows, while the payment stays the same. Early payments are mostly interest; late payments are mostly principal. ## Formulas - Monthly rate: r = annual rate / 12 (for example 4.5% -> 0.00375). - Payment for a loan P over n months: M = P * r / (1 - (1 + r)^-n). With r = 0: M = P / n. - Interest this month: balance * r. Principal this month: M - interest. - Total interest: sum of the interest parts, or approximately M * n - P. - Months to pay off with payment M: n = -ln(1 - P * r / M) / ln(1 + r). If P * r >= M the loan never ends. Quick checks: 200,000 at 6% for 30 years -> 1,199.10 per month. 300,000 at 4.5% for 30 years -> 1,520.06 per month. ## Why extra payments save so much An extra payment reduces the balance immediately, so every later month charges interest on a smaller amount. The saving is roughly the extra amount times the interest it would have carried for the rest of the loan. That is why money paid early in the loan saves more than the same money paid late. ## Terms people confuse | Term | Meaning | |---|---| | Nominal rate | The yearly rate in the contract, used for the monthly interest. | | APR | Annual percentage rate including fees; compares offers. A loan with a lower rate but high fees can have a higher APR. | | Term | The planned length (e.g. 30 years). | | Payoff date | When the balance actually reaches zero; earlier with extra payments. | | Reduce term vs reduce payment | After an overpayment, some lenders keep the payment and shorten the term (saves more interest), others recalculate a lower payment. Ask which. | | Principal | The amount still owed, not counting future interest. | | Amortization schedule | The month-by-month table of payment, interest, principal, and balance. | ## Rounding and small differences Lenders round to cents each month and may use daily interest (actual days / 365) instead of rate / 12. Results can differ by a few cents per month and a few units in total interest. The last payment usually absorbs the rounding difference. ## Limits of a fixed-rate calculator - Variable or tracker rates: run scenarios at the current rate and at +1 and +2 percentage points. - Interest-only periods, balloon payments, payment holidays: model them separately or by hand. - Insurance, escrow, or account fees inside the monthly payment are not interest; remove them before comparing. FILE:references/prepayment-decision-guide.md # Should I pay off my loan faster? A decision guide Overpaying a loan gives a guaranteed, risk-free "return" equal to the loan's interest rate. That is good, but it is not always the best use of spare money. Work through these steps in order. ## 1. Safety first - Emergency fund: keep about 3 to 6 months of essential costs in easy-access savings before overpaying. Money sent to a lender is hard to get back. - Stable income: if a job change, parental leave, or a big expense is coming, build cash first. ## 2. Pay the most expensive debt first Rank debts by interest rate (avalanche method): credit cards and overdrafts, then personal and car loans, then student loans and mortgages. Overpay the highest rate first. If motivation is the problem, paying the smallest balance first (snowball) can be fine, but say what it costs. ## 3. Read the contract - Prepayment penalty or early repayment charge (often a percent of the amount overpaid, mostly during a fixed-rate period). - Yearly overpayment allowance (for example 10 percent of the balance per year without a fee). - Does an overpayment reduce the term or the payment? Can you choose? - Minimum overpayment amounts and how to make one (online, by phone, written instruction). ## 4. Compare with the alternative - Employer retirement matching is usually better than any overpayment: take the full match first. - Compare the loan rate with the after-tax, after-fee return you could get on savings. A 2% mortgage versus a 4% savings account: saving wins on paper. A 7% car loan versus a 3% savings account: overpaying wins. - Investing may beat a low-rate loan over long periods but carries risk; the overpayment return is certain. - Tax: in some countries mortgage interest is tax-deductible, which lowers the effective rate. Check locally; do not assume. ## 5. Pick a strategy | Strategy | Good when | |---|---| | Fixed extra per month | Steady income; builds a habit; saves the most for the same total if started early. | | Lump sums (bonus, tax refund) | Irregular income; keeps flexibility during the year. | | Higher fixed payment | Wants a clear debt-free date. | | Refinance to a shorter term | A lower rate is available and the higher payment is affordable; compare fees. | | Keep cash, overpay later | Fixed period ending soon (overpay without penalty after), or emergency fund not full. | ## 6. Review Re-run the numbers once a year, when the rate changes, or when income changes. Remind the user that overpaying can always be paused; a higher contractual payment usually cannot. FILE:templates/loan-plan.md # Loan plan: loan_name **Loan:** balance at rate% (fixed_or_variable), remaining_term left, payment payment per month, first payment in this plan start_month **Fees and rules:** fees; prepayment limit or penalty: prepayment_rules **Goal:** goal **Budget for extra payments:** extra_budget ## Baseline - Monthly payment: - Total interest from now: - Payoff date: - First payment split: interest ... / principal ... ## Scenarios | Option | Monthly outlay | Payoff date | Total interest | Interest saved | Months saved | |---|---|---|---|---|---| | Baseline | | | | - | - | | A: | | | | | | | B: | | | | | | | C: | | | | | | ## Recommendation Option ... because: 1. 2. 3. Trade-offs to keep in mind: ## Before you overpay - [ ] Emergency fund covers ... months - [ ] No higher-rate debt left (or it comes first) - [ ] Prepayment penalty / allowance checked with the lender - [ ] Overpayment set to reduce the term (or payment, if preferred) ## Questions for the lender 1. 2. ## Next steps 1. 2. *Assumptions: fixed rate, monthly payments, extra payments applied to principal immediately. These are estimates, not financial advice.* FILE:examples/example-mortgage-overpayment.md # Example: comparing three mortgage overpayment strategies ## User request "We have 320,000 left on our mortgage at 4.1% fixed with 25 years to go, first payment of this plan in December 2026. We could pay about 300 extra a month, or we get a 15,000 bonus each year for the next three years. A friend says we should just switch to 2,400 a month. What's best? We have 6 months of expenses saved and no other debt. The bank allows 10% overpayment per year without fees." ## Commands ```bash python3 scripts/amortize.py --principal 320000 --rate 4.1 --years 25 --start 2026-12 python3 scripts/amortize.py --principal 320000 --rate 4.1 --years 25 --start 2026-12 --extra 300 python3 scripts/amortize.py --principal 320000 --rate 4.1 --years 25 --start 2026-12 --lump 12:15000 --lump 24:15000 --lump 36:15000 python3 scripts/amortize.py --principal 320000 --rate 4.1 --years 25 --start 2026-12 --payment 2400 ``` Output (shortened): ``` Baseline: 1,706.80 per month, interest 192,038.38, total paid 512,038.38, paid off 2051-11 (300 payments) Plan (+300.00/month): paid off 2046-02 (231 payments), interest 143,068.39 Saves 48,969.99 interest and 69 months (5 y 9 m); every 100 of extra saves 70.97 Plan (lump sums 15,000.00 in payment 12, 15,000.00 in payment 24, 15,000.00 in payment 36): paid off 2046-11 (240 payments), interest 133,018.73 Saves 59,019.65 interest and 60 months (5 y 0 m); every 100 of extra saves 131.15 Plan (fixed payment 2,400.00): paid off 2041-10 (179 payments), interest 107,805.37 Saves 84,233.01 interest and 121 months (10 y 1 m) ``` ## Loan plan (filled template, shortened) **Loan:** 320,000.00 at 4.1% fixed, 25 years left, payment 1,706.80 per month, first payment December 2026 **Fees and rules:** overpayments up to 10% of the balance per year are free **Goal:** pay less interest without losing flexibility | Option | Monthly outlay | Payoff date | Total interest | Interest saved | Months saved | |---|---|---|---|---|---| | Baseline | 1,706.80 | 2051-11 | 192,038.38 | - | - | | A: +300 per month | 2,006.80 | 2046-02 | 143,068.39 | 48,969.99 | 69 | | B: 15,000 bonus in years 1 to 3 | 1,706.80 + 45,000 total | 2046-11 | 133,018.73 | 59,019.65 | 60 | | C: fixed 2,400 per month | 2,400.00 | 2041-10 | 107,805.37 | 84,233.01 | 121 | **Recommendation:** Option B, plus A if the budget allows. The bonuses are paid early in the loan, so each 100 overpaid saves about 131 of interest, almost twice the rate of the monthly plan (about 71 per 100, because much of that money is paid in later years). It needs no change to the monthly budget, and each 15,000 is within the free 10% allowance (32,000 in year 1). Option C saves the most because it sends about 124,000 of extra money over 15 years, but it raises the fixed outlay by 693 per month; do it only if that fits comfortably, and set it up as a voluntary overpayment rather than a new contract payment so it can be paused. **Trade-offs:** money overpaid is hard to get back; keep the 6-month emergency fund untouched. If your savings account pays more than 4.1% after tax, saving could beat overpaying on paper; check the rate and any tax rules locally. **Questions for the lender:** 1. Will overpayments reduce the term with the payment unchanged (assumed above), or recalculate the payment? 2. Does the 10% allowance reset per calendar year or per loan year? *Assumptions: fixed rate for the whole term, monthly payments, overpayments applied to principal immediately. Estimates, not financial advice.* FILE:scripts/amortize.py #!/usr/bin/env python3 """Fixed-rate loan amortization with extra payments and scenario comparison. Usage: python3 amortize.py --principal 250000 --rate 4.2 --years 30 [options] python3 amortize.py --principal 18000 --rate 7.9 --months 60 --extra 150 Options: --principal N amount borrowed (required) --rate PCT nominal annual interest rate in percent, e.g. 4.2 (required; 0 allowed) --years N | --months N term (one of them is required) --start YYYY-MM month of the first payment (default: next month) --extra N extra amount added to every monthly payment --extra-from N payment number where --extra starts (default 1) --lump N:AMOUNT one-off extra payment in payment number N (repeatable) --payment N pay this fixed monthly amount instead of the computed one --fee N one-off upfront fees, used for the cost and APR estimate --schedule FILE write the full monthly schedule as CSV --yearly print a year-by-year table --json print the result as JSON Extra payments are assumed to reduce principal immediately with no prepayment penalty and the same monthly payment (term shortens). Rates are nominal annual, compounded monthly (rate / 12 per month). Money is rounded to cents each month. Exit codes: 0 ok, 2 usage or input error. Python 3 standard library only. """ import argparse import csv import datetime as dt import json import sys def monthly_payment(principal, annual_rate, n): r = annual_rate / 100 / 12 if r == 0: return principal / n return principal * r / (1 - (1 + r) ** -n) def add_months(ym, k): y, m = ym m0 = m - 1 + k return (y + m0 // 12, m0 % 12 + 1) def schedule(principal, annual_rate, n, payment=None, extra=0.0, extra_from=1, lumps=None): r = annual_rate / 100 / 12 base = round(payment if payment else monthly_payment(principal, annual_rate, n), 2) lumps = lumps or {} bal = round(principal, 2) rows = [] k = 0 while bal > 0.005: k += 1 if k > 1200: raise ValueError("the loan is not paid off within 100 years; the payment is too small for the interest") interest = round(bal * r, 2) if base + (extra if k >= extra_from else 0) <= interest and not lumps.get(k): raise ValueError(f"payment {base:.2f} does not cover the monthly interest {interest:.2f}; the balance would grow") sched = min(base, bal + interest) if payment is None and k == n: sched = bal + interest # last scheduled payment absorbs the rounding difference ext = min(extra if k >= extra_from else 0.0, max(bal + interest - sched, 0)) lump = min(lumps.get(k, 0.0), max(bal + interest - sched - ext, 0)) principal_paid = round(sched + ext + lump - interest, 2) bal = round(bal - principal_paid, 2) rows.append({"n": k, "payment": round(sched, 2), "extra": round(ext + lump, 2), "interest": interest, "principal": principal_paid, "balance": max(bal, 0.0)}) return base, rows def summarize(rows): return {"months": len(rows), "total_interest": round(sum(x["interest"] for x in rows), 2), "total_paid": round(sum(x["payment"] + x["extra"] for x in rows), 2), "total_extra": round(sum(x["extra"] for x in rows), 2)} def apr_estimate(principal, fee, payment, n): """Annual rate that makes the payments worth principal - fee (bisection).""" target = principal - fee lo, hi = 0.0, 1.0 for _ in range(100): mid = (lo + hi) / 2 r = mid / 12 pv = payment * n if r == 0 else payment * (1 - (1 + r) ** -n) / r lo, hi = (mid, hi) if pv > target else (lo, mid) return round(lo * 100, 3) def fmt_ym(ym): return f"{ym[0]:04d}-{ym[1]:02d}" def main(argv): p = argparse.ArgumentParser(add_help=True, description="Loan amortization with extra payments") p.add_argument("--principal", type=float, required=True) p.add_argument("--rate", type=float, required=True) g = p.add_mutually_exclusive_group(required=True) g.add_argument("--years", type=float) g.add_argument("--months", type=int) p.add_argument("--start") p.add_argument("--extra", type=float, default=0.0) p.add_argument("--extra-from", type=int, default=1) p.add_argument("--lump", action="append", default=[]) p.add_argument("--payment", type=float) p.add_argument("--fee", type=float, default=0.0) p.add_argument("--schedule") p.add_argument("--yearly", action="store_true") p.add_argument("--json", action="store_true") try: a = p.parse_args(argv) except SystemExit as e: return 0 if e.code == 0 else 2 try: n = a.months if a.months else round(a.years * 12) if a.principal <= 0 or n <= 0 or a.rate < 0 or a.extra < 0 or a.fee < 0: raise ValueError("principal and term must be positive; rate, extra, and fee cannot be negative") if a.rate > 100: raise ValueError("rate is in percent per year, e.g. 4.2 for 4.2%") lumps = {} for item in a.lump: num, _, amt = item.partition(":") try: if not num.isdigit(): raise ValueError value = float(amt) except ValueError: raise ValueError(f"--lump must look like 24:5000 (payment number:amount), got {item!r}") from None lumps[int(num)] = lumps.get(int(num), 0.0) + value if a.start: try: y, m = a.start.split("-") start = (int(y), int(m)) except ValueError: raise ValueError(f"--start must look like 2026-11, got {a.start!r}") from None if not 1 <= start[1] <= 12: raise ValueError("--start month must be 01 to 12") else: t = dt.date.today() start = add_months((t.year, t.month), 1) base_pay, base_rows = schedule(a.principal, a.rate, n, payment=None) scenario = bool(a.extra or lumps or a.payment) pay, rows = schedule(a.principal, a.rate, n, payment=a.payment, extra=a.extra, extra_from=a.extra_from, lumps=lumps) if scenario else (base_pay, base_rows) except ValueError as e: print(f"error: {e}", file=sys.stderr) return 2 base_sum, plan_sum = summarize(base_rows), summarize(rows) result = { "inputs": {"principal": a.principal, "annual_rate_pct": a.rate, "term_months": n, "first_payment": fmt_ym(start), "extra_monthly": a.extra, "extra_from_payment": a.extra_from, "lumps": lumps, "fixed_payment": a.payment, "fees": a.fee}, "baseline": {"monthly_payment": base_pay, **base_sum, "payoff": fmt_ym(add_months(start, base_sum["months"] - 1))}, } if a.fee: result["baseline"]["apr_estimate_pct"] = apr_estimate(a.principal, a.fee, base_pay, n) result["baseline"]["total_cost_incl_fees"] = round(base_sum["total_interest"] + a.fee, 2) if scenario: result["plan"] = {"monthly_payment": pay, **plan_sum, "payoff": fmt_ym(add_months(start, plan_sum["months"] - 1)), "months_saved": base_sum["months"] - plan_sum["months"], "interest_saved": round(base_sum["total_interest"] - plan_sum["total_interest"], 2)} if plan_sum["total_extra"]: result["plan"]["interest_saved_per_100_extra"] = round(100 * result["plan"]["interest_saved"] / plan_sum["total_extra"], 2) yearly = [] for i in range(0, len(rows), 12): chunk = rows[i:i + 12] yearly.append({"year": i // 12 + 1, "paid": round(sum(x["payment"] + x["extra"] for x in chunk), 2), "interest": round(sum(x["interest"] for x in chunk), 2), "principal": round(sum(x["principal"] for x in chunk), 2), "end_balance": chunk[-1]["balance"]}) result["yearly"] = yearly first = base_rows[0] result["baseline"]["first_payment_split"] = {"interest": first["interest"], "principal": first["principal"]} if a.schedule: try: with open(a.schedule, "w", newline="", encoding="utf-8") as f: w = csv.writer(f) w.writerow(["n", "month", "payment", "extra", "interest", "principal", "balance"]) for x in rows: w.writerow([x["n"], fmt_ym(add_months(start, x["n"] - 1)), f"{x['payment']:.2f}", f"{x['extra']:.2f}", f"{x['interest']:.2f}", f"{x['principal']:.2f}", f"{x['balance']:.2f}"]) except OSError as e: print(f"error: cannot write schedule {a.schedule}: {e.strerror}", file=sys.stderr) return 2 if a.json: print(json.dumps(result, indent=2)) return 0 b = result["baseline"] print(f"Loan {a.principal:,.2f} at {a.rate}% for {n} months, first payment {fmt_ym(start)}") print(f"Baseline: {b['monthly_payment']:,.2f} per month, interest {b['total_interest']:,.2f}, " f"total paid {b['total_paid']:,.2f}, paid off {b['payoff']} ({b['months']} payments)") if a.fee: print(f" With fees {a.fee:,.2f}: total cost of borrowing {b['total_cost_incl_fees']:,.2f}, APR about {b['apr_estimate_pct']}%") print(f" First payment: {first['interest']:,.2f} interest, {first['principal']:,.2f} principal") if scenario: pl = result["plan"] what = [] if a.payment: what.append(f"fixed payment {a.payment:,.2f}") if a.extra: what.append(f"+{a.extra:,.2f}/month" + (f" from payment {a.extra_from}" if a.extra_from > 1 else "")) if lumps: what.append("lump sums " + ", ".join(f"{v:,.2f} in payment {k}" for k, v in sorted(lumps.items()))) print(f"Plan ({'; '.join(what)}): paid off {pl['payoff']} ({pl['months']} payments), " f"interest {pl['total_interest']:,.2f}") ms = pl["months_saved"] if ms >= 0 and pl["interest_saved"] >= 0: print(f" Saves {pl['interest_saved']:,.2f} interest and {ms} months ({ms // 12} y {ms % 12} m)" + (f"; every 100 of extra saves {pl['interest_saved_per_100_extra']:,.2f}" if pl.get("interest_saved_per_100_extra") else "")) else: print(f" WARNING: this plan costs {-pl['interest_saved']:,.2f} MORE interest and takes {-ms} months longer than the baseline") if a.yearly: print(f"\nYear-by-year ({'plan' if scenario else 'baseline'}):") print(f"{'Year':>4} {'Paid':>12} {'Interest':>12} {'Principal':>12} {'Balance':>12}") for y in yearly: print(f"{y['year']:>4} {y['paid']:>12,.2f} {y['interest']:>12,.2f} {y['principal']:>12,.2f} {y['end_balance']:>12,.2f}") if a.schedule: print(f"\nSchedule written to {a.schedule} ({len(rows)} rows)") return 0 if __name__ == "__main__": sys.exit(main(sys.argv[1:]))