GvK Settlement Suite · Bax Innovation

Economic Gabrielli–von Kármán Settlement Explorer

Specific exchange drag ε vs. settlement velocity 1/τ · log–log

SOFR 0.04%BASIS 30D-CARRYMAX ui 3.58 · Bitcoin L1 PANEL · 2018-01
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Manuscript companionRolf Bastiaanssen (2026), What Price Settlement Speed? Calibrated simulation panel, N = 1,466 system-months; not empirical data. Working paper PDF Executive briefing PDF Executive briefing PPTX Replication package ZIP

Start here

Move SOFR from 0% to 5.41% and watch the capital-bound systems rise against the GvK Limit Line.

Executive walkthrough · 60 s

A one-minute introduction to the Gabrielli–von Kármán frontier for settlement, and how to read the canvas above.

  • x-axis: settlement velocity 1/τ, from 90-day bills of exchange to microsecond matching.
  • y-axis: specific exchange drag ε, all frictions per unit of value settled, in basis points.
  • Limit Line: the lowest drag any live system achieves at each speed; distance u measures inefficiency.

Figures come from a calibrated simulation panel, not empirical data.

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Test your infrastructure's drag against the GvK Frontier privately. Our in-browser validator ensures your data never leaves your machine: submitted figures are scored locally and never uploaded.

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Timeline
Jan 2018
Jan 2018Oct 2026
0.04%

Observed SOFR for 2018-01 · switch to the 2024 snapshot to set it manually.

0.00%2.50%5.00%7.50%10.00%
Industrial Power$0.077/kWh

Panel price for 2018-01 · energy term already priced in the panel.

Collateral Accrual Basis

Policy Sandbox

Simulate US Equities shift to T+0

Compresses DTCC finality τ from T+2 to 10 s and multiplies locked clearing capital ×10, modelling the loss of multilateral netting efficiency under atomic settlement.

τ
T+2
K_locked
$140.00B
ε
0.8338 bps
Launch Interactive Sandbox Scorecard

Canvas Key

GvK Limit Line · lower convex hull of all live systems
Pre-industrial clearing
Wholesale netting
Gross RTGS / correspondent
Retail payments
Cryptographic ledgers
Market microstructure
Settlement Mach Barrier (v > 10³ Hz)
Historical anchor (static ε, no SOFR term)
System · size ∝ log monthly volume

ε = (Cfees + Crisk + Cenergy + Ccoll) / Vmonth × 10⁴. Values beyond the y-domain are pinned to the axis edge with a directional marker.

Master CanvasClick a node to inspect
System Ledger · sorted by velocity
SystemCategoryτFeesCollateralRiskEnergyε (bps)uᵢ
Babylonian Temple Storehouse (c. 1750 BCE)Historical Anchor180d150.00200.00350.00.00
Venetian Bills of Exchange (c. 1500)Historical Anchor90d150.0050.000200.00.54
Champagne Fairs Clearing (c. 1250)Historical Anchor60d15.0005.00020.000.00
Transatlantic Gold Points (c. 1880)Historical Anchor14d40.00010.00050.000.99
SWIFT CorrespondentFiat Wholesale · Gross (RTGS)3d50.000.039910.009.04e-360.051.69
Amsterdam Wisselbank (c. 1650)Historical Anchor2d8.0002.00010.001.08
ACH Batch NetworkFiat Wholesale · Netted (CCP)2d0.02006.36e-41.009.61e-41.020.09
Visa Core NetworkRetail Card Network2d180.01.74e-340.000.1260220.12.42
Mastercard NetworkRetail Card Network2d185.01.62e-338.000.1224223.12.43
DTCC US EquitiesFiat Wholesale · Netted (CCP)2d0.30000.01820.50000.01570.83380.00
London Bankers' Clearing House (c. 1820)Historical Anchor1d6.0002.0008.001.22
CHIPS Netting EngineFiat Wholesale · Netted (CCP)1h0.04004.02e-404.05e-40.04080.00
Bitcoin L1Crypto · Proof-of-Work1h12.0000143.9155.93.58
Ethereum L1Crypto · Proof-of-Work12.8m15.000.5426033.9749.512.95
Fedwire Funds ServiceFiat Wholesale · Gross (RTGS)30s0.10005.58e-303.51e-40.10590.00
TIPS / SEPA InstantFiat Wholesale · Gross (RTGS)10s0.15000.067500.06130.27880.22
Lightning NetworkCrypto · Layer-2 Channel1s1.500.9779019.7122.191.69
Nasdaq ITCH/OUCHHFT Market Venue1ms0.20009.19e-38.000.18528.390.00