Feature Specification: Scenario Analysis & Monte Carlo Simulation

Overview

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


Business Problem

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:


Solution: Advanced Scenario Analysis

What We Build

A probabilistic forecasting engine that uses:

  1. Monte Carlo Simulation (10,000+ scenarios)
  2. Sensitivity Analysis (identify key drivers)
  3. Stress Testing (worst-case scenario planning)
  4. What-If Modeling (interactive scenario comparison)

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."


Business Value

For German SMEs (500 employees, €50M revenue)

Quantified Value:

  1. Risk Mitigation

  2. Opportunity Capture

  3. Decision Quality

Total Value: €235K-€270K/year + strategic decision enablement


User Stories

1. CFO: Stress Test Cash Position

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:


2. Treasurer: Optimize Payment Timing

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:


3. FP&A Analyst: Quantify Hiring Impact

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:


4. Board Member: Understand Financial Resilience

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:


Functional Requirements

1. Monte Carlo Simulation Engine

Inputs:

Process:

  1. Sample from probability distributions (10,000 iterations)
  2. Simulate cash flows for each iteration (13-week horizon)
  3. Aggregate results into probability distributions
  4. Analyze percentiles (P5, P10, P25, P50, P75, P90, P95)

Outputs:


2. Sensitivity Analysis

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

3. Stress Testing

Pre-Defined Stress Scenarios:

  1. Customer Shock: Top 3 customers delay 60 days (probability 5%)
  2. Vendor Pressure: Top 5 vendors demand 50% faster payment (probability 3%)
  3. Market Downturn: 15% revenue decline over 6 months (probability 10%)
  4. Operational Shock: Unplanned €500K capex (equipment failure)
  5. Regulatory: VAT audit requires €200K immediate payment

Stress Test Dashboard:


4. Interactive Scenario Builder

User Interface:

Example Scenarios:


Technical Implementation

Architecture

┌─────────────────────────────────────────────────────────────────┐
│  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)           │
└─────────────────────────────────────────────────────────────────┘

Technology Stack

Backend:

Statistical Libraries:

Visualization:

Performance:


Data Model

Scenario Configuration Table

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
    }
  ]
}

Simulation Results Table

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}
  ]
}

Monte Carlo Implementation Details

Algorithm

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

Sensitivity Analysis Implementation

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

Integration Points

1. Cash Flow Forecasting Module

2. AP/AR Data

3. Procurement Intelligence

4. Dynamic Discounting

5. Management Reporting


UI/UX Design

Dashboard Layout

┌─────────────────────────────────────────────────────────────────┐
│  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]  │
└─────────────────────────────────────────────────────────────────┘

Scenario Builder Interface

┌─────────────────────────────────────────────────────────────────┐
│  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 →]              │
└─────────────────────────────────────────────────────────────────┘

Success Metrics

Technical Performance

User Adoption

Business Impact


Implementation Roadmap

Phase 1: MVP (Month 1-2)

Phase 2: Sensitivity & Stress Testing (Month 3)

Phase 3: Interactive Modeling (Month 4)

Phase 4: Advanced Features (Month 5-6)


Compliance & Risk Considerations

German-Specific Requirements

  1. Insolvenzantragspflicht (Insolvency Filing Obligation)

  2. Steuerberater Integration

  3. GDPR Data Privacy


Competitive Differentiation

Why Orcha's Scenario Analysis Wins:

  1. Embedded in AP/AR Flow

  2. German SME Optimized

  3. AI-Powered Distributions

  4. Decision Support, Not Just Forecasts

vs. Competitors:


Pricing Strategy

Standalone: €500-800/month
Bundled: Included in Cash & Treasury package (€1,200/month)

Justification:


Future Enhancements (Post-MVP)

  1. Machine Learning Predictions

  2. Multi-Company Benchmarking

  3. Real-Time Scenario Updates

  4. Optimization Engine

  5. Integration with Bank APIs


Conclusion

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