Models and formula registry

Records what a transaction produced, net of what it consumed and what it imposed on others.

NVC = VP - VC + E - R

net value created = value produced − verified costs + positive externalities − risks

Example — A $500 purchase producing $6,000 of buyer value against $300 of cost and $200 of risk gives NVC = $5,500.

Sums the value each party to a transaction actually received.

TVR_{recv} = V_{buyer} + V_{seller}

total value received = buyer value + seller value

Example — $6,000 buyer value plus $1,500 seller value gives $7,500 received.

Shows how much value a transaction produced beyond the amount exchanged.

S = TVR_{recv} - P

surplus = total value received − price

Example — $7,500 received on a $500 price gives a $7,000 surplus.

Expresses value received per unit of price so transactions of different sizes can be compared.

\eta = \frac{TVR_{recv}}{P}

value efficiency = total value received ÷ price

Example — $7,500 received on a $500 price gives η = 15.

Maps value efficiency onto a bounded comparative scale for transactions and projects.

IVS = \frac{100}{1 + e^{-k(\eta - \eta_0)}}

a bounded 0–100 indicator derived from value efficiency

Example — With η = 15, η₀ = 5 and k = 0.2, IVS ≈ 88.

Defines stability as the purchasing power of a published basket rather than an exchange rate.

PPI_t = \frac{\sum_i w_i p_{i,t}}{\sum_i w_i p_{i,0}}

weighted basket price now ÷ weighted basket price in the base period

Example — A basket costing 104 against a base of 100 gives PPI = 1.04.

Models how returned project capital funds subsequent institutional deployment.

C_{n+1} = C_n \times r \times s

next-cycle capital = deployed capital × institutional return share × success rate

Example — $100M deployed at r = 0.9 and s = 0.4 returns $36M for the next cycle.

States whether a proposed unit of account can meet redemption under a published stress scenario.

RC = \frac{\text{Liquid reserves}}{\text{Redeemable liabilities under stress}}

reserve coverage = liquid reserves ÷ redeemable liabilities under stress

Example — $1.20 of liquid reserves per $1.00 of stressed liabilities gives RC = 1.2.

Candidate formulation of system-wide prosperity beyond nominal output.

P = \sum_i w_i \cdot \frac{c_i}{c_i^{*}}

prosperity = weighted sum of measured capability against reference levels

Example — Illustrative only; no validated weights exist at alpha stage.

Establishes what a Universal Beneficial Income system may distribute in a period, after every prior obligation is funded.

DP_t = \max(0,\; R_t - O_t - B_t - C_t - S_t)

distributable profit = qualifying revenue − operating cost − essential benefits − reinvestment − reserve funding

Example — Revenue of $1.8T against $300B operating, $420B benefits, $260B reinvestment, and $120B reserves gives DP = $700B.

Divides the approved portion of distributable profit equally across every eligible citizen for the period.

D_t = \alpha \cdot \frac{DP_t}{N_t}

citizen dividend = approved distribution share × distributable profit ÷ eligible citizens

Example — α = 0.75 applied to $700B across 340M citizens gives about $1,544 per citizen per year.

Determines whether a distribution may be released at full rate, reduced, or suspended in favour of essential benefits.

PSR = \frac{\text{Liquid Reserves}}{\text{Projected 12-Month Core Obligations}}

reserve ratio = liquid reserves ÷ the next twelve months of core obligations

Example — Reserves of $700B against $560B of projected core obligations gives PSR = 1.25 — adequate.