Feature Name: Advanced Scenario Analysis with Monte Carlo Simulation
Category: Cash & Treasury Management (Phase 3)
Priority: High
Target Users: CFOs, Treasurers, FP&A Teams
Dependencies: Cash Flow Forecasting, AP/AR Data, Historical Transaction Patterns
The Challenge:
German SMEs face significant financial uncertainty:
Traditional financial planning uses deterministic forecasts (single point estimates), which fail to capture:
The Cost of Poor Forecasting:
A probabilistic forecasting engine that uses:
Key Insight: Instead of saying "We'll have €2M in 8 weeks," we say "There's a 90% probability we'll have between €1.8M and €2.4M in 8 weeks, with €2M being the median."
Quantified Value:
Risk Mitigation
Opportunity Capture
Decision Quality
Total Value: €235K-€270K/year + strategic decision enablement
As a CFO
I want to model worst-case scenarios (e.g., "top 3 customers delay payment by 45 days")
So that I can proactively arrange credit facilities before a crisis
Acceptance Criteria:
As a Treasurer
I want to compare scenarios: "delay vendor payments 15 days" vs "take early payment discounts"
So that I can maximize returns on cash while maintaining vendor relationships
Acceptance Criteria:
As an FP&A Analyst
I want to model "hire 5 engineers in Q2" with salary, onboarding, and ramp-up costs
So that I can present the hiring plan with confidence intervals to leadership
Acceptance Criteria:
As a Board Member
I want to see probability of needing our credit line over the next 12 months
So that I can assess company resilience and approve facility size
Acceptance Criteria:
Inputs:
Process:
Outputs:
What-If Variables:
Tornado Chart:
Example Output:
Top 5 Cash Drivers (90-day horizon):
1. Top 10 customer payment timing: ±€850K
2. Vendor payment policy: ±€420K
3. Seasonal revenue variation: ±€310K
4. Hiring pace (engineers): ±€180K
5. SaaS renewals timing: ±€95K
Pre-Defined Stress Scenarios:
Stress Test Dashboard:
User Interface:
Example Scenarios:
┌─────────────────────────────────────────────────────────────────┐
│ SCENARIO ANALYSIS ENGINE │
├─────────────────────────────────────────────────────────────────┤
│ │
│ 1. DATA LAYER │
│ ├─ Historical Transactions (AP, AR, payroll, recurring) │
│ ├─ Statistical Distributions (payment timing, amounts) │
│ ├─ Correlation Matrices (customer behavior, seasonality) │
│ └─ Current Cash Position (bank balances, credit lines) │
│ │
│ 2. SIMULATION ENGINE │
│ ├─ Monte Carlo Sampler (numpy/scipy) │
│ ├─ Cash Flow Projector (iterative calculation) │
│ ├─ Parallel Execution (10K simulations in <5 sec) │
│ └─ Result Aggregator (percentiles, statistics) │
│ │
│ 3. ANALYSIS LAYER │
│ ├─ Sensitivity Analysis (Tornado charts) │
│ ├─ Stress Testing (pre-defined + custom scenarios) │
│ ├─ Risk Metrics (VaR, CVaR, probability of shortfall) │
│ └─ Scenario Comparison (expected value, risk-adjusted) │
│ │
│ 4. VISUALIZATION │
│ ├─ Probability Distribution Charts (fan chart, violin) │
│ ├─ Heatmaps (probability of cash shortfall by week) │
│ ├─ Tornado Charts (sensitivity ranking) │
│ └─ Scenario Comparison Tables (side-by-side metrics) │
│ │
│ 5. DECISION SUPPORT │
│ ├─ Alert Engine (threshold breaches) │
│ ├─ Recommendation Engine ("Draw credit line in Week 8") │
│ ├─ Export to PowerPoint/PDF (board deck) │
│ └─ API for External Tools (BI dashboards, Excel) │
└─────────────────────────────────────────────────────────────────┘
Backend:
Statistical Libraries:
Visualization:
Performance:
CREATE TABLE scenario_configs (
id UUID PRIMARY KEY,
tenant_id UUID NOT NULL REFERENCES tenants(id),
name VARCHAR(200) NOT NULL,
description TEXT,
baseline BOOLEAN DEFAULT FALSE,
created_by UUID REFERENCES users(id),
created_at TIMESTAMP DEFAULT NOW(),
config JSONB NOT NULL -- scenario parameters
);
Example config JSON:
{
"horizon_weeks": 13,
"simulations": 10000,
"variables": {
"customer_payment_delay": {
"distribution": "normal",
"mean": 42,
"std_dev": 12,
"min": 14,
"max": 120
},
"vendor_payment_timing": {
"distribution": "deterministic",
"value": 30 // days from invoice date
},
"hiring": {
"distribution": "deterministic",
"count": 5,
"start_week": 4,
"avg_salary_monthly": 6000,
"onboarding_cost": 5000
}
},
"stress_scenarios": [
{
"name": "Top Customer Delays",
"type": "payment_delay",
"customers": ["cust_001", "cust_002", "cust_003"],
"delay_days": 60,
"probability": 0.05
}
]
}
CREATE TABLE simulation_results (
id UUID PRIMARY KEY,
scenario_id UUID NOT NULL REFERENCES scenario_configs(id),
run_at TIMESTAMP DEFAULT NOW(),
horizon_weeks INT NOT NULL,
num_simulations INT NOT NULL,
results JSONB NOT NULL, -- percentiles, statistics
execution_time_ms INT,
INDEX idx_scenario (scenario_id),
INDEX idx_run_at (run_at DESC)
);
Example results JSON:
{
"cash_position_by_week": [
{
"week": 1,
"p5": 1850000,
"p10": 1920000,
"p25": 2050000,
"p50": 2200000,
"p75": 2380000,
"p90": 2540000,
"p95": 2680000,
"mean": 2215000,
"std_dev": 285000
}
// ... weeks 2-13
],
"risk_metrics": {
"var_95": 1850000, // 95% VaR: worst case in 95% of scenarios
"cvar_95": 1620000, // Expected shortfall in worst 5%
"prob_shortfall": 0.12, // 12% probability of going below €1M
"max_drawdown": 850000
},
"sensitivity_ranking": [
{"variable": "customer_payment_timing", "impact_eur": 850000},
{"variable": "vendor_payment_policy", "impact_eur": 420000}
]
}
import numpy as np
from scipy import stats
def monte_carlo_cash_forecast(config, num_simulations=10000, horizon_weeks=13):
"""
Monte Carlo simulation for cash flow forecasting.
Returns probability distributions for cash position over time.
"""
# Initialize results array: [simulation, week]
cash_positions = np.zeros((num_simulations, horizon_weeks))
# Starting cash (current bank balance)
starting_cash = get_current_cash_balance(config['tenant_id'])
cash_positions[:, 0] = starting_cash
# Load historical data
ar_data = load_ar_data(config['tenant_id'])
ap_data = load_ap_data(config['tenant_id'])
# Fit probability distributions
payment_delay_dist = fit_payment_timing_distribution(ar_data)
invoice_amount_dist = fit_invoice_amount_distribution(ar_data)
# Run simulations
for sim in range(num_simulations):
for week in range(1, horizon_weeks):
# Sample cash inflows (AR collections)
inflows = sample_ar_collections(
ar_data,
week,
payment_delay_dist,
config['variables']
)
# Sample cash outflows (AP payments, payroll, etc.)
outflows = sample_ap_payments(
ap_data,
week,
config['variables']
)
# Add payroll (deterministic, 2x per month)
if week % 2 == 0: # bi-weekly payroll
outflows += config['payroll_amount']
# Add scenario-specific changes (hiring, capex, etc.)
outflows += scenario_adjustments(config, week)
# Update cash position
cash_positions[sim, week] = cash_positions[sim, week-1] + inflows - outflows
# Calculate statistics
results = {
'percentiles': {
'p5': np.percentile(cash_positions, 5, axis=0),
'p10': np.percentile(cash_positions, 10, axis=0),
'p25': np.percentile(cash_positions, 25, axis=0),
'p50': np.percentile(cash_positions, 50, axis=0),
'p75': np.percentile(cash_positions, 75, axis=0),
'p90': np.percentile(cash_positions, 90, axis=0),
'p95': np.percentile(cash_positions, 95, axis=0)
},
'mean': np.mean(cash_positions, axis=0),
'std_dev': np.std(cash_positions, axis=0)
}
return results
def fit_payment_timing_distribution(ar_data):
"""
Fit statistical distribution to historical payment timing.
Returns: scipy.stats distribution object
"""
payment_delays = ar_data['actual_payment_date'] - ar_data['due_date']
payment_delays_days = payment_delays.dt.days
# Try multiple distributions, pick best fit
distributions = [
('norm', stats.norm),
('lognorm', stats.lognorm),
('gamma', stats.gamma)
]
best_fit = None
best_aic = float('inf')
for name, dist_func in distributions:
params = dist_func.fit(payment_delays_days)
aic = calculate_aic(payment_delays_days, dist_func, params)
if aic < best_aic:
best_fit = (name, dist_func, params)
best_aic = aic
return best_fit
def sample_ar_collections(ar_data, week, payment_delay_dist, config):
"""
Sample AR collections for a given week based on historical patterns.
"""
# Get invoices that should be collected around this week
expected_collections = ar_data[ar_data['expected_payment_week'] == week]
total_collections = 0
for invoice in expected_collections:
# Sample payment delay from distribution
delay_days = payment_delay_dist.rvs()
# Apply scenario-specific adjustments
if invoice['customer_id'] in config.get('delayed_customers', []):
delay_days += config['customer_delay_adjustment']
# Determine if this invoice gets paid this week
if delay_days <= 7: # within this week
# Apply collection rate (some invoices never get paid)
if np.random.random() < config.get('collection_rate', 0.98):
total_collections += invoice['amount']
return total_collections
def sensitivity_analysis(config, variables_to_test):
"""
Tornado chart: rank variables by impact on cash position.
For each variable:
1. Run simulation with variable at P10
2. Run simulation with variable at P90
3. Calculate delta in final cash position
4. Rank by absolute delta
"""
baseline = monte_carlo_cash_forecast(config)
baseline_final_cash = baseline['percentiles']['p50'][-1] # Week 13
sensitivities = []
for var_name in variables_to_test:
# Test low value (P10)
config_low = config.copy()
config_low['variables'][var_name] = adjust_to_percentile(var_name, 10)
result_low = monte_carlo_cash_forecast(config_low)
cash_low = result_low['percentiles']['p50'][-1]
# Test high value (P90)
config_high = config.copy()
config_high['variables'][var_name] = adjust_to_percentile(var_name, 90)
result_high = monte_carlo_cash_forecast(config_high)
cash_high = result_high['percentiles']['p50'][-1]
# Calculate impact
impact = abs(cash_high - cash_low)
sensitivities.append({
'variable': var_name,
'impact_eur': impact,
'cash_low': cash_low,
'cash_high': cash_high,
'baseline': baseline_final_cash
})
# Sort by impact (descending)
sensitivities.sort(key=lambda x: x['impact_eur'], reverse=True)
return sensitivities
┌─────────────────────────────────────────────────────────────────┐
│ SCENARIO ANALYSIS │
├─────────────────────────────────────────────────────────────────┤
│ │
│ [Baseline ▼] [Compare to: Scenario A ▼] [+ New Scenario] │
│ │
│ ┌───────────────────────────────────────────────────────────┐ │
│ │ Cash Position Forecast (13 weeks) │ │
│ │ │ │
│ │ €M │ │
│ │ 3.0 ┐ │ │
│ │ │ ╱╲ │ │
│ │ 2.5 ┤ ╱ ╲ ╱╲ │ │
│ │ │ ╱ ╲ ╱ ╲ P90 │ │
│ │ 2.0 ┤ ╱ ╲ ╱ ╲ ───── │ │
│ │ │ ╱ ╳ ╲ P50 (median) │ │
│ │ 1.5 ┤╱ ╱ ╲ ╲───────── │ │
│ │ │ ╱ ╲ ╲ P10 │ │
│ │ 1.0 ┴──────────────────────────────── │ │
│ │ Week 1 4 7 10 13 │ │
│ │ │ │
│ │ Shaded area = 80% confidence interval (P10 to P90) │ │
│ └───────────────────────────────────────────────────────────┘ │
│ │
│ ┌──────────────────────┬──────────────────────────────────┐ │
│ │ RISK METRICS │ SENSITIVITY ANALYSIS │ │
│ ├──────────────────────┼──────────────────────────────────┤ │
│ │ Prob. of Shortfall │ Top Cash Drivers: │ │
│ │ (< €1M) │ │ │
│ │ │ 1. Customer Payment Timing │ │
│ │ 🔴 18% │ Impact: ±€850K ████████████ │ │
│ │ │ │ │
│ │ Expected Shortfall │ 2. Vendor Payment Policy │ │
│ │ (if < €1M) │ Impact: ±€420K ██████ │ │
│ │ │ │ │
│ │ €720K │ 3. Revenue Seasonality │ │
│ │ │ Impact: ±€310K ████ │ │
│ │ Credit Line Needed │ │ │
│ │ │ 4. Hiring Pace │ │
│ │ €1.2M (90% conf.) │ Impact: ±€180K ██ │ │
│ └──────────────────────┴──────────────────────────────────┘ │
│ │
│ ┌─────────────────────────────────────────────────────────┐ │
│ │ STRESS TEST SCENARIOS │ │
│ ├─────────────────────────────────────────────────────────┤ │
│ │ Baseline: €2.0M (Week 13) │ │
│ │ │ │
│ │ ⚠️ Customer Shock: €1.2M ↓ (€800K shortfall) │ │
│ │ ⚠️ Vendor Pressure: €1.6M ↓ (€400K shortfall) │ │
│ │ ⚠️ Market Downturn: €1.4M ↓ (€600K shortfall) │ │
│ │ ⚠️ Operational Shock: €1.5M ↓ (€500K shortfall) │ │
│ └─────────────────────────────────────────────────────────┘ │
│ │
│ [📊 Export to PowerPoint] [📧 Share with Team] [⚙️ Settings] │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ CREATE NEW SCENARIO: "Aggressive Growth" │
├─────────────────────────────────────────────────────────────────┤
│ │
│ Scenario Name: [Aggressive Growth________________] │
│ Description: [Hire 15 engineers in Q2, 20% revenue growth__] │
│ │
│ ┌─────────────────────────────────────────────────────────┐ │
│ │ VARIABLES │ │
│ ├─────────────────────────────────────────────────────────┤ │
│ │ │ │
│ │ 💼 HIRING │ │
│ │ Number of hires: [15] │ │
│ │ Start week: [4] (Week 4) │ │
│ │ Avg. salary: [€6,000/month] │ │
│ │ Onboarding cost: [€5,000/person] │ │
│ │ │ │
│ │ 📈 REVENUE │ │
│ │ Growth rate: [+20%] over 6 months │ │
│ │ Ramp: [Linear ▼] │ │
│ │ │ │
│ │ 💰 VENDOR PAYMENTS │ │
│ │ Payment timing: [30 days ▼] (no change) │ │
│ │ │ │
│ │ 👥 CUSTOMER PAYMENTS │ │
│ │ Payment timing: [42 days ▼] (baseline) │ │
│ │ │ │
│ │ 🚨 ONE-TIME EXPENSES │ │
│ │ [+ Add] capex, bonuses, etc. │ │
│ │ │ │
│ └─────────────────────────────────────────────────────────┘ │
│ │
│ ┌─────────────────────────────────────────────────────────┐ │
│ │ PREVIEW IMPACT │ │
│ ├─────────────────────────────────────────────────────────┤ │
│ │ Cash position in 13 weeks: │ │
│ │ │ │
│ │ Baseline: €2.0M (P50) │ │
│ │ Scenario: €1.6M (P50) ↓€400K │ │
│ │ │ │
│ │ Risk change: │ │
│ │ Prob. of shortfall: 18% → 28% (+10%) │ │
│ └─────────────────────────────────────────────────────────┘ │
│ │
│ [Cancel] [Save Scenario] [Run Full Simulation →] │
└─────────────────────────────────────────────────────────────────┘
Insolvenzantragspflicht (Insolvency Filing Obligation)
Steuerberater Integration
GDPR Data Privacy
Why Orcha's Scenario Analysis Wins:
Embedded in AP/AR Flow
German SME Optimized
AI-Powered Distributions
Decision Support, Not Just Forecasts
vs. Competitors:
Standalone: €500-800/month
Bundled: Included in Cash & Treasury package (€1,200/month)
Justification:
Machine Learning Predictions
Multi-Company Benchmarking
Real-Time Scenario Updates
Optimization Engine
Integration with Bank APIs
Scenario Analysis with Monte Carlo Simulation transforms German SME finance from reactive to proactive:
This is not just a forecasting tool—it's a financial decision-making platform.
Value: €235K-€270K/year for 500-employee SME
ROI: 30-50x
Timeline: 6 months from MVP to full feature set