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Payment Model Calculator (MV=PQ)

Fundamental token valuation via the equation of exchange: market cap, price with locking, burn and inflation effects.

How to use

  • Transaction volume (PQ) — annual economic throughput in dollars flowing through the token.
  • Velocity (V) — how many times per year each token changes hands. Higher V = lower price (token isn’t held).
  • Total supply and Locked from supply — determine the number of tokens in free circulation. Locking (staking, collateral) increases the price of remaining tokens.
  • Burn and Inflation — annual rates as % of supply. Net supply change affects price after one year.
  • The chart shows price vs. velocity. The table displays market cap, price, locking effect, average holding time, and 1-year projection.
  • This calculator inverts the parent-article V_effective formula: given V, it computes the price consistent with MV=PQ on the free float.
Notes on assumptions
  • Year-2 price is exact, not a linear approximation. The calculator applies Supply_year2 = Supply × (1 + Inflation − Burn) and re-applies the price formula, P_token = M / (Supply × (1 − Locked)), to that new supply—giving ptokenY2 = M / (Supply_year2 × (1 − Locked)). Algebraically this equals P_token / (1 + Inflation − Burn): an exact ratio with zero approximation error at any rate, not the linear estimate P × (1 + Burn − Inflation) sometimes used as a mental shortcut. The calculator never takes that shortcut, so there’s no fixed error bound to quote—the Year-2 row is precise for the inputs shown, however large Inflation or Burn get.
  • Lock cap at 90%. The slider is capped at 90% for numerical stability (avoids division by zero as free float → 0). This is a UI guard, not an economic ceiling—some protocols push the locked share of supply meaningfully higher through aggressive staking, bonding, or vesting design.

Calculator

Payment Model Calculator

Formulas

M = PQ / V
  • M — fundamental token market cap (computed)
  • PQ — annual transaction volume in dollars
  • V — token velocity (turns per year)
P_token = M / (Supply × (1 - Locked))
  • P_token — fundamental price per token (computed)
  • M — fundamental market cap (computed above)
  • Supply — total token supply
  • Locked — fraction of tokens locked from supply (staking, collateral)
Supply_year2 = Supply × (1 + Inflation - Burn)
  • Supply_year2 — token supply after one year (computed)
  • Supply — current total supply
  • Inflation — annual emission (fraction of supply)
  • Burn — annual burn (fraction of supply)
  • Assumption: the locked fraction (Locked) remains unchanged in the year 2 projection
Learn more about the model
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