Free lesson · Crypto markets
Custody claims and recovery scenarios
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Start with the idea
An exchange balance is a claim on an intermediary. Its displayed value and recoverable cash under stress can differ.
Symbols, units & horizon
- E[L]: modeled expected loss USD over the chosen horizon
- p_D: assumed default/freeze-loss probability
- V: exposure USD
- R: conditional recovery fraction
- no discounting of recovery in this toy model
When and why to use this
Compare concentration limits and collateral placement under explicitly assumed custody scenarios.
An exchange balance is a claim on an intermediary. Its displayed value and recoverable cash under stress can differ.
Identify who controls keys, whether assets are segregated, withdrawal restrictions and claim seniority from the relevant agreements. A wrapped or bridged asset adds another redemption dependency.
Use scenario haircuts to understand exposure rather than presenting a made-up default probability as measured fact. Expected loss is only one summary; complete inaccessibility during a hedge deadline may be more damaging than eventual recovery loss.
Custody claims and recovery scenarios
- Loss conditional on the modeled default is exposure times one minus recovery.
- Weight it by assumed event probability.
- Report both expected and full conditional loss and disclose that probability is a scenario input.
Exposure $10,000, assumed one-year event probability .02 and conditional recovery .40 give conditional loss $6,000 and expected loss $120.
Apply it in a strategy
- Compare concentration limits and collateral placement under explicitly assumed custody scenarios.
- Record the input timestamp, executable quantity, currency and horizon. Reconcile the result with a cash-flow or state table.
- Stress this failure condition: Recovery can be delayed for years and depend on correlated market stress; simple expected loss understates liquidity needs.
Research deliverable
Build and explain a custody claims and recovery scenarios worksheet. Compare concentration limits and collateral placement under explicitly assumed custody scenarios.
Evidence boundary: Synthetic arithmetic and scenarios illustrate mechanics. They are not historical returns, a paper replication, or evidence of an executable edge. Research sources and their access limitations are recorded at the end of this module.
Python implementation
Self-contained teaching example. Python 3.10+; dependencies and input conventions are shown in the code and notation. Run in your own Python environment.
# Python 3.10+; standard library unless NumPy is imported below.
# Inputs and outputs use the units defined in this lesson. Synthetic teaching example.
def custody_loss(exposure,probability,recovery):
if exposure<0 or not 0<=probability<=1 or not 0<=recovery<=1: raise ValueError("Invalid scenario")
conditional=exposure*(1-recovery)
return conditional,probability*conditional
print(custody_loss(10000,.02,.40))Continue learning
Crypto Markets: Instruments, Ownership and Cash Flows — all lessons- Base, quote and instrument identity
- Returns across two currencies
- Order-book depth and average execution price
- Stablecoin conversion is an FX route
- Custody claims and recovery scenarios
- Token issuance, unlocks and dilution
- Staking rewards and economic return
- A reconciled spot research ledger
Quantitative finance and development glossary · Python resources and libraries · Research sources and limitations