Mêtior · MEΩ
Open rules / offline snapshot

The universal numéraire for money itself.

A capitalization-weighted yard-stick of fiat M2, metals, and free-float crypto—open math, daily weights, no currency fog. Price everything in MEΩ to see economic truth.

MEΩ vs major currencies (1970-2024)

Illustrative purchasing-power index (1970 = 100). MEΩ stays stable; fiat series erode (EUR uses DEM proxy pre-1999).

Mêtior (MEΩ) — The Universal Numéraire

A clean, open-math benchmark for money itself.

Denominate prices, P&L, and risk in MEΩ to strip out single-currency bias and inflation fog. Open data. Deterministic rules. Fully auditable.

0) Elevator pitch

MEΩ is a capitalization-weighted numéraire that aggregates fiat M2, gold/silver, and leading crypto (BTC/ETH) into one living yard-stick. Price anything in MEΩ to see economic truth without fiat money FX drift.

Why care? Reporting in USD/CHF/EUR bakes FX and inflation into your “alpha.” MEΩ strips that out.

1) What MEΩ is (and isn’t)

MEΩ is:

  • A numéraire (unit of account), not a fund or index product.
  • A basket-of-money built from public data, reweighted automatically.
  • A reference unit to price anything without fiat money FX drift.

MEΩ is not:

  • A stablecoin; price floats with the world money pool.
  • A custodied pool of assets; it is a measurement standard.

2) Core math (short & exact)

Let C(t) be the set of monetary species: fiat (M2), metals (XAU/XAG stocks), crypto (BTC/ETH free-float).

MC_j^USD(t) = P_j^USD(t) * Q_j(t) M_world(t) = Σ_j MC_j^USD(t) κ = 10^{-6} P_USD^{MEΩ}(t) = κ * M_world(t) w_j(t) = MC_j^USD(t) / M_world(t) r_{i,MEΩ}(t) = Δln( P_i^USD(t) / P_USD^{MEΩ}(t) )

Interpretation: one MEΩ is the millionth of the world money aggregate. If M_world = 174T USD, then P_USDMEΩ ≈ 174M USD.

3) Why this adds value (for finance)

  • Currency-neutral truth. MEΩ reports pure economic returns.
  • Crisis-adaptive yard-stick. Reweights automatically; dead components decay to 0.
  • Cross-border comparability. One open rule-set for global portfolios.
  • Auditability. Daily disclosure of (date, symbol, weight, meo_usd, m_world_usd).

4) Vision & scope (v0)

In-scope (launch)

  • Components: USD/EUR/JPY/CHF M2, XAU/XAG, BTC/ETH.
  • Data: FRED, LBMA, CoinGecko, Yahoo FX.
  • Storage: (date, symbol, weight, meo_usd, m_world_usd).
  • Risk in MEΩ: realised/GARCH σ, CVaR; optional 2-state MS-GARCH.
  • Headline: GINα (MEΩ Global Interest-Rate Neutral Alpha).

Out-of-scope (v0)

  • Custody, leverage, intraday, paid data, auth.
  • Derivatives later (ETN/futures).

5) Data → Model → Publish

  1. Ingest: open feeds; forward-fill ≤ 60d; drop if stale.
  2. Compute: caps, weights, PMEΩ, returns in MEΩ; risk metrics.
  3. Publish: weights.csv, meo_price.csv, summary.json; API: /meo/latest, /meo/weights?date=…, /meo/returns?symbol=…; docs + audit SQL.

6) Governance (minimal, explicit)

  • Inclusion: public M2 or free-float mcap; ≥ 1% of MEΩ (policy band allowed).
  • Cadence: daily recompute; no human overrides.
  • Delisting: stale > 60d or liquidity collapse ⇒ weight → 0; renormalize.
  • Change control: any rule change ⇒ version bump + migration note; forks welcome.

7) Quickstart (compute MEΩ locally)

pip install pandas requests yfinance fredapi duckdb # Example sketch import pandas as pd df_caps = pd.DataFrame({ "symbol":["USD","EUR","JPY","CHF","XAU","XAG","BTC","ETH"], "mc_usd":[21.5e12,16.8e12,8.6e12,1.25e12,22.1e12,2.6e12,2.26e12,0.30e12] }) kappa = 1e-6 M_world = df_caps["mc_usd"].sum() P_meo_usd = kappa * M_world df_caps["weight"] = df_caps["mc_usd"]/M_world assert abs(df_caps["weight"].sum()-1) < 1e-9
Audit SQL: SELECT date, symbol, ROUND(weight*100,2) AS pct, meo_usd, m_world_usd FROM benchmarks WHERE date = (SELECT MAX(date) FROM benchmarks) ORDER BY weight DESC LIMIT 10;

8) Risk & performance in MEΩ

  • Volatility: realised σ on ri,MEΩ; optional GARCH(1,1).
  • Tail risk: EVT (POT–GPD) for VaR/CVaR in MEΩ units.
  • GINα: removes global funding & inflation in MEΩ units to isolate skill.

9) Design choices (FAQ-lite)

  • SDR is fiat-only; CPI is a consumption basket. MEΩ is money-native and adaptive.
  • κ = 10-6 gives a human-readable price (≈ $100M/MEΩ today) and fixed token supply if ever tokenized.
  • MEΩ is a yard-stick, not a stablecoin; price floats with the world money pool.
  • Hedge via components; phase 2: ETN/futures for direct hedging.

10) Validation & acceptance

  • Stability KPIs: MEΩ vs USD/EUR/CHF volatility; drawdowns (2008/2020/2022); weight entropy.
  • Trust gates: Σw ≈ 1; PMEΩ = κ ΣMC within 1 bp; no NaNs; bit-for-bit rebuild.
  • Adoption KPIs: API calls/day; CSV downloads; references to MEΩ / GINα.

11) Licensing & disclaimer

  • Spec & brand assets: MIT.
  • Disclaimer: prototype math; educational reference; no investment advice.

12) Appendix — full equation panel

MC_j^{USD} = P_j^{USD} * Q_j M_world = Σ_j MC_j^{USD} w_j = MC_j^{USD} / M_world P_{USD}^{MEΩ} = κ * M_world r_{i,MEΩ} = Δln( P_i^{USD} / P_{USD}^{MEΩ} ) r^{(λ)} = clip(r, -5σ, +5σ)

MEΩ = the universal yard-stick for value. Open rules, public data, daily weights. Price everything in MEΩ and see the real performance.