Objective
Grow your bunny to maximum weight within 40 years by making smart
investments and caring for your bunny!
Game Mechanics
-
Feed: Spend money each year to increase bunny
weight (W = W + S/PI)
-
Work: Answer interest calculation questions to
earn money (90% chance each year)
-
Invest: Choose investments with varying terms
(1-6 years) and returns (2-10% APR)
-
Survive: Keep weight above 20kg or risk death
-
Split: At 50kg, bunny explodes into 2 bunnies at
half weight each!
Investment Types by Level
-
Level 1: Simple & Monthly Compounding (2-10%
rates, 1-6 years)
- Level 2: + Daily Compounding
- Level 3: + Continuous Compounding
-
Level 4: + Stock Market (Geometric Brownian
Motion)
📐 Interest Formulas
Simple Interest:
Growth Factor = 1 + r × t
Example: $100 @ 6% for 6mo → $103.00
Monthly Compounding:
Growth Factor = (1 + r/12)months
Example: $100 @ 6% for 6mo → $103.04
Daily Compounding:
Growth Factor = (1 + r/365)days
Where days = months × 30.42
Example: $100 @ 6% for 6mo → $103.05
Continuous Compounding:
Growth Factor = er×t
Where e ≈ 2.71828, t in years
Example: $100 @ 6% for 6mo → $103.05
Stock Market (Geometric Brownian Motion):
S(t) = S(0) × e((μ - 0.5σ²)t + σ√t·Z)
μ = drift (3-7%), σ = volatility (10-15%)
Z = random normal variable
⚠️ RISKY: Can gain 25% or lose 15%!
Key Variables:
r = annual rate (decimal), t = time (years), months = investment
term
Yearly Events
-
Natural Decay: Weight decreases by 1% each year
-
Price Changes: Price index changes yearly (-1% to
+6%)
- Illness: 6% chance of losing 5-15% weight
-
Death: Below 20kg, death probability = (20 - W)%
Winning Strategy
- Balance feeding (growth) with investing (money)
-
Longer investment terms = higher rates but lock up your money
- Keep weight safely above 20kg to avoid death risk
- Use the calculator for work questions
- Aim for 50kg splits to multiply your bunnies!
- Game lasts 40 years - plan accordingly!