{
  "tool_id": "art-327-tvm-annuity",
  "kernel_id": "art-327-tvm-annuity",
  "display_name": "Annuity PV / FV / Payment Solver",
  "tool_version": "1.0.0",
  "mandate_type": "analytics_mandate",
  "purpose": "Solves present value, future value, or payment for an ordinary annuity or annuity-due, given the other two plus rate and number of periods, using the standard closed-form annuity factor. Matches Excel PV/FV/PMT semantics including the due=true (beginning-of-period) adjustment.",
  "control_description": "Solves present value, future value, or payment for an ordinary annuity or annuity-due, given the other two plus rate and number of periods, using the standard closed-form annuity factor. Matches Excel PV/FV/PMT semantics including the due=true (beginning-of-period) adjustment.",
  "declared_inputs": [],
  "declared_outputs": [],
  "kernel_digest": "sha256:165274b6b7aaf7bdd149aa20b208b60dd4d5a632e159d6801d213a8808b2e4e9",
  "trust_label": "independently verified -- zkVM execution proof (risc0/groth16-bn254)",
  "data_vintage": "2026-07-16",
  "last_validated": "2026-07-16",
  "conformance_fixtures_vendored": true,
  "compute_proof_ready": "ready",
  "wave": 57,
  "source_url": "https://ainumbers.co/chaingraph/art-327-tvm-annuity.html",
  "generated_at": "2026-07-25T20:02:55.601Z"
}