Inputs
Model Details
We approximate monthly net cash as Normal(μ, σ²) for a closed-form buffer estimate, then refine via Monte Carlo with your custom distributions (income, expenses, spikes, job loss). All computations run locally; no data leaves your browser.
Glossary / Parameters
- R*: Minimum starting buffer keeping ruin probability ≤ ε over the horizon.
- Income Triangular (min/mode/max): Assumed shape for monthly gross receipts.
- Fixed Expenses: Predictable mandatory outgoing cash each month.
- Variable Mean & ±%: Average flexible spend plus symmetric variability band.
- Spike Probability / Amount: Low‑frequency large expense event model.
- Monthly Hazard (Job Loss): Independent chance of income dropping to zero that month; triggers downtime.
- Downtime Min/Max: Range of months with zero income if hazard triggers.
- Horizon: Months you want to survive without going negative.
- Max Ruin Probability (ε): Acceptable chance of ever hitting a negative balance within horizon.
- Closed‑Form R*: Fast analytical approximation ignoring discrete spike/job loss structure.
- Monte Carlo R*: Simulation-based estimate honoring your full distribution assumptions.
- P5 Path: 5th percentile balance path—stress trajectory.
- Pipeline: Signed work value released stochastically after collection delay at expected conversion %.
- Smoothing Reserve: Skim of above-baseline income used to top up below-baseline months.
- Payment Delay: Portion of income probabilistically deferred 1 month (receivables bucket).
- R* Confidence Interval: Bootstrap percentile band across repeated R* searches (80/90/95%).
- Risk Attribution: ΔR* (or Δ ruin probability) removing each risk source, normalized.
Itemized Incomes & Expenses (optional)
Income Items
Expense Items
Results
Monthly Cash Flow Breakdown
Income allocation: fixed, variable, expected spike reserve, planned saving, residual or shortfall. Spike slice uses expected value (p * amount). Job loss not included in averages here.
Risk Contributors
Shares based on how much each risk source raises R* versus a counterfactual with that source removed (normalized deltas).
Net Equation Map
Risk Drivers (Tornado)
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Computation Timings
| Phase | ms | % |
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