Forecast recurring revenue regimes

Fit a diagonal-Gaussian hidden Markov model to consecutive organic ARR growth, GRR, gross margin and cash-burn intensity, order latent regimes by growth rather than arbitrary labels, test effective regime support and improvement over a single-state model, then simulate ARR and unrestricted cash through fitted transitions, within-regime variation and coherent common market scenarios.

What it's for

Shows boards whether growth, retention, margin and burn have entered a different operating regime—and forecasts ARR and liquidity from those joint dynamics instead of extrapolating one headline growth rate.

What you give it

Inputs split into evidence read from your connected systems, calibration your team owns, and numerical controls that affect precision but never the result's meaning.

Field Type Role Required
confidence_level number ≥ 0.5, ≤ 0.999 Your calibration Optional
convergence_tolerance number ≥ 1e-12, ≤ 1 Your calibration Optional
current_recurring_revenue number > 0 Your calibration Yes
current_unrestricted_cash number ≥ 0 Your calibration Yes
em_iterations integer ≥ 1, ≤ 500 Your calibration Optional
historical_periods array of objects (7 fields) ≥ 12 items Evidence Yes
horizon_periods integer ≥ 1, ≤ 120 Your calibration Yes
market_scenarios array of objects (5 fields) ≥ 1 item Evidence Yes
max_detail_rows integer ≥ 1, ≤ 500 Numerical control Optional
minimum_hmm_log_likelihood_improvement_per_period number Your calibration Optional
minimum_liquidity_probability number ≥ 0, ≤ 1 Your calibration Optional
minimum_regime_effective_periods number ≥ 0 Your calibration Optional
minimum_target_probability number ≥ 0, ≤ 1 Your calibration Optional
minimum_unrestricted_cash number ≥ 0 Your calibration Yes
regime_count integer ≥ 2, ≤ 6 Your calibration Optional
seed integer ≥ 0, ≤ 2147483647 Numerical control Optional
simulations integer ≥ 200, ≤ 50000 Numerical control Optional
target_terminal_recurring_revenue number ≥ 0 Your calibration Yes
transition_prior number > 0 Your calibration Optional
variance_floor number ≥ 1e-8, ≤ 10 Your calibration Optional

Each historical_periods record

Field Type Required
evidence_verified boolean Yes
gross_margin number (≥ -1, ≤ 1) Yes
gross_revenue_retention number (≥ 0, ≤ 1) Yes
id string (non-empty) Yes
net_cash_burn_per_opening_arr number (≥ -10, ≤ 10) Yes
organic_arr_growth_rate number (≥ -0.99, ≤ 5) Yes
period_index integer (≥ 0) Yes
Example input
{
  "current_recurring_revenue": 100,
  "current_unrestricted_cash": 200,
  "historical_periods": [
    {
      "evidence_verified": true,
      "gross_margin": 0.4,
      "gross_revenue_retention": 0.85,
      "id": "revenue-history-0",
      "net_cash_burn_per_opening_arr": 0.2,
      "organic_arr_growth_rate": -0.055,
      "period_index": 0
    },
    {
      "evidence_verified": true,
      "gross_margin": 0.4,
      "gross_revenue_retention": 0.85,
      "id": "revenue-history-1",
      "net_cash_burn_per_opening_arr": 0.2,
      "organic_arr_growth_rate": -0.05,
      "period_index": 1
    },
    {
      "evidence_verified": true,
      "gross_margin": 0.4,
      "gross_revenue_retention": 0.85,
      "id": "revenue-history-2",
      "net_cash_burn_per_opening_arr": 0.2,
      "organic_arr_growth_rate": -0.045000000000000005,
      "period_index": 2
    },
    {
      "evidence_verified": true,
      "gross_margin": 0.4,
      "gross_revenue_retention": 0.85,
      "id": "revenue-history-3",
      "net_cash_burn_per_opening_arr": 0.2,
      "organic_arr_growth_rate": -0.055,
      "period_index": 3
    },
    {
      "evidence_verified": true,
      "gross_margin": 0.4,
      "gross_revenue_retention": 0.85,

Truncated for display — the full payload is 352 lines.

What you get back

This is the actual output of running the example above — computed by the same function the platform calls, not an illustration.

Example output
{
  "configuration": {
    "confidence_level": 0.9,
    "horizon_periods": 6,
    "simulations": 500
  },
  "decision": "recurring_revenue_regime_forecast_supported",
  "failed_gates": [],
  "fit_diagnostics": {
    "converged_before_iteration_limit": true,
    "em_iterations_completed": 2,
    "minimum_regime_effective_periods": 12
  },
  "forecast_regime_probability_by_period": [
    {
      "period": 1,
      "probabilities": {
        "regime-1": 0.138,
        "regime-2": 0.058,
        "regime-3": 0.804
      }
    },
    {
      "period": 2,
      "probabilities": {
        "regime-1": 0.212,
        "regime-2": 0.138,
        "regime-3": 0.65
      }
    },
    {
      "period": 3,
      "probabilities": {
        "regime-1": 0.244,
        "regime-2": 0.2,
        "regime-3": 0.556
      }
    },
    {
      "period": 4,
      "probabilities": {
        "regime-1": 0.274,
        "regime-2": 0.24,
        "regime-3": 0.486

Truncated for display — the full payload is 143 lines.

How it works

Markov & state-space control — Choose a policy over evolving states when today's action changes tomorrow's options.

  1. 1 Freeze consecutive finance-approved period features and standardize them; initialize multiple latent states by growth rank, then fit transition, mean and diagonal-variance parameters with forward-backward EM and Dirichlet transition smoothing.
  2. 2 Relabel fitted states from weakest to strongest organic growth, calculate posterior historical/current state probabilities, effective periods, transition matrix and per-period log-likelihood improvement over one diagonal Gaussian state.
  3. 3 Simulate future regime transitions and joint growth/margin/burn observations under one common market scenario per path; propagate opening ARR and unrestricted cash and apply evidence, support, model-improvement, target-ARR and liquidity gates.

Before you trust it

Every tool in the catalog ships with the conditions under which its answer is meaningful — and the conditions under which it should abstain instead of guessing.

Assumptions & guardrails

  • States are decision-sufficient at the chosen cadence and transition evidence is recent, identifiable, and not silently pooled across incompatible regimes.
  • Period definitions are consecutive and stable; feature measurements share one finance perimeter; latent state dynamics are approximately first-order Markov with diagonal within-state residual covariance; common scenarios span material structural shocks.
  • A policy is conditional on the declared state abstraction and transition model; hidden omitted state can invalidate its ranking.
  • Regimes are descriptive joint states, not causal diagnoses, company-quality grades or management scores. Simulation includes process and scenario uncertainty but not full parameter/model uncertainty and is not accounting, valuation, financing, solvency or investment advice.

Minimum evidence

  • historical_periods: at least 12 rows/items
  • market_scenarios: at least 1 rows/items
  • current_recurring_revenue: required and organization-defined
  • current_unrestricted_cash: required and organization-defined
  • minimum_unrestricted_cash: required and organization-defined
  • target_terminal_recurring_revenue: required and organization-defined
  • horizon_periods: required and organization-defined

How to validate it

Use chronological train/calibration/test windows, compare proper scores and decision value with a simple baseline, and recalibrate only from outcomes resolved after prediction time.

Calibrating it to your org

Same for everyone

The mathematical kernel, validation rules, method version, and JSON output semantics are organization-independent; no tenant-trained coefficients or company benchmark is embedded in the function.

Specific to you

  • version-matched finance period panel joining the governed recurring-revenue bridge to recognized gross margin and treasury cash/burn, plus finance-approved common forecast scenarios
  • period cadence and eligibility, organic growth and retention perimeter, margin and burn definitions, historical process epoch, regime count and priors, variance floor, scenario dependence and probabilities, current balances, forecast horizon, simulation precision, target/liquidity gates and review authority

Calibration workflow

  1. 1 Define the management decision, target outcome, aggregate unit, privacy boundary, cadence, and prediction/intervention horizon for this organization.
  2. 2 Build a tenant-scoped historical cohort using only information available before each prediction or decision; preserve zero periods, censoring, assignment probabilities, and unresolved outcomes when the method requires them.
  3. 3 Estimate statistical parameters on training history, but obtain costs, utilities, risk tolerance, practical-effect thresholds, capacity, and policy constraints from accountable decision owners.
  4. 4 Validate on later time windows or held-out aggregate units at the deployment grain, against a simple baseline and the function-specific validation strategy.
  5. 5 Deploy only if the returned decision clears evidence, overlap, calibration, robustness, and guardrail checks; warning, unsupported, schema-gap, and fallback decisions are abstentions.
  6. 6 Monitor realized outcomes, data drift, coverage, and decision regret; recalibrate at a governed cadence or after a detected regime/definition change, never merely because a stakeholder dislikes the result.

Call it from your AI

You don't wire up 388 tools in your MCP client. The GitRevio MCP server exposes 18 tools, three of which let an agent search the catalog, read a tool's schema, and run it — so the assistant finds this one on its own.

gitrevio_capabilities_search
  { "q": "fit a diagonalgaussian hidden markov model" }
  → finds "forecast_recurring_revenue_regimes"

gitrevio_capability_describe
  { "capability_id": "forecast_recurring_revenue_regimes" }
  → returns the input schema and agent guidance shown on this page

gitrevio_capability_run
  { "capability_id": "forecast_recurring_revenue_regimes", "arguments": { ... } }
  → returns the result shown above

Works in Claude Desktop, Claude Code, Cursor, Cline, Continue.dev, Goose and Aider. See the MCP server.

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