# ccim-equation

`station__governance__ccim-equation` · external (needs EXECUTION_BACKEND_URL configured) · domain `governance` · pv-relevance `non-pv`

Compute C(d) using the CCIM compound interest equation.

> **Note:** This tool routes through an external execution backend. If `EXECUTION_BACKEND_URL` is unset on the server, calls return JSON-RPC error `-32603 "Tool execution backend not configured"`. Tools with `backend: native` execute in-process and are always callable.

## Agent metadata

- `idempotent`: unknown
- `read_only`: unknown
- `expected_latency_ms`: unknown (not yet contract-tested)
- `cost_tokens_estimate`: unknown

## Input schema

- `c0` *number* (required) — Starting capability units (C₀).
- `cumulative_w` *number* (required)
- `directives` *integer* (required) — Number of directives (d).
- `observations` *integer* (required)
- `rho` *number* (required) — Compounding ratio (rho) in [0.0, 1.0].
- `t_per_directive` *number* (required) — New tools contributed per directive (T).

## Example call

```json
POST /api/mcp
Content-Type: application/json

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/call",
  "params": {
    "name": "station__governance__ccim-equation",
    "arguments": {
      "c0": 0,
      "cumulative_w": 0,
      "directives": 0,
      "observations": 0,
      "rho": 0,
      "t_per_directive": 0
    }
  }
}
```

## Related

- [/tools](/tools) — all 3062 tools
- [/tools/governance__ccim-equation](/tools/governance__ccim-equation) — HTML page
- [/tools/governance__ccim-equation/json](/tools/governance__ccim-equation/json) — JSON form (agent-friendly)
- [/api/mcp](/api/mcp) — endpoint
- [/AGENTS.md](/AGENTS.md) — agent guide