FRM Part II · FRM Exam Part II

Tokenization and Financial Market Inefficiencies: formula sheet

Full chapter guide

Key formulas

Token definition: Token = digital record on a ledger + legal claim on an underlying asset or issuer; The legal claim is what makes it a tokenized asset rather than an unbacked crypto asset.
Atomic settlement: Asset transfer and payment occur together, or neither occurs; Removes principal and settlement risk between the two legs of a trade.
Permissioned vs permissionless: Permissionless = open participation; Permissioned = approved participants only; Permissioned ledgers allow identity checks and clearer governance; permissionless ledgers offer openness but weaker control.
Blockchain integrity: Block n contains hash of block n−1; Altering an earlier block changes its hash and breaks every later link.
Trade lifecycle order: Trade → Clearing (match, confirm, net) → Settlement (securities and cash exchanged); Clearing is not settlement. Clearing determines what is owed. Settlement is the actual transfer.
Settlement lag: Settlement date = trade date + n business days (T+n); T+2 means two business days. Weekends and holidays are not counted.
Replacement cost exposure: Exposure = max(current market value of the trade to you, 0); If the price has moved in your favour and the counterparty defaults, you lose this amount. If it moved against you, you lose nothing on replacement.
Principal risk: Loss = full value of what you delivered, if you deliver and the other side does not; Occurs when delivery and payment are not simultaneous. Delivery versus payment (DvP) removes it.
Netting: Net obligation = Σ amounts owed to you − Σ amounts you owe (same counterparty, same currency or CCP); Reduces gross settlement flows and exposures. Gross flows are not reduced without netting.
Atomic settlement condition: Asset leg executes ⇔ Payment leg executes (all or nothing); This is the definition. If one leg can fail while the other completes, settlement is not atomic and principal risk remains.
Principal settlement exposure: Exposure = value of the leg delivered before the counterparty's leg is received; Under atomic settlement this exposure is effectively zero, because no leg is final alone. Replacement cost risk from a trade before settlement still exists.
Fractional ownership units: Number of tokens = asset value ÷ value per token; Smaller token value means lower minimum investment. Example: ₹10,00,00,000 ÷ ₹1,000 = 10,00,000 tokens.
Peg deviation: Deviation (%) = (Market price − Par value) ÷ Par value × 100; Negative means the coin trades below par. Example: a USD coin at $0.97 is 3% below peg.
Reserve coverage ratio: Coverage = Value of reserve assets ÷ Coins outstanding; Below 1 means reserves cannot cover full redemption at par. Use liquidation values, not book values, in stress.
Redemption shortfall: Shortfall = Redemption demand − Liquid reserves available; Positive shortfall forces asset sales, which may happen at a discount.
Issuer comparison rule: CBDC = central bank liability; deposit token = commercial bank liability; stablecoin = private issuer claim on reserves; Credit risk to the holder rises from CBDC to deposit token to stablecoin in a typical design.
Regulatory principle: Same activity + same risk = same regulation; Technology-neutral approach. Do not choose answers that say tokenized assets sit outside existing law.
Atomic settlement (DvP/PvP): Asset transfer and payment occur together, or neither occurs; Removes principal settlement risk between the legs. It does not remove credit, market or operational risk.
Unified ledger components: Central bank money + commercial bank money + tokenized assets on one programmable platform; Aims to preserve singleness of money. A BIS concept, not a deployed system.
Stability trade-off: Speed and automation → lower settlement friction, but faster run and contagion dynamics; Use this to frame any benefit-versus-risk question.

Quick revision

A token is a digital representation of an asset or claim recorded on a shared ledger.
A smart contract is code that runs automatically when set conditions are met.
Atomic settlement means the asset and payment legs happen together or not at all, which removes principal risk between them.
Faster settlement cuts counterparty exposure and frees collateral, but may raise upfront liquidity needs.
Programmability automates actions such as coupon payments and collateral calls, reducing manual reconciliation.
Traditional frictions include multi-day settlement, fragmented records, reconciliation costs and many intermediaries.
A stablecoin is issued privately and aims to hold a stable value, usually backed by reserve assets; it can still lose its peg or face runs.
A CBDC is a direct liability of the central bank, so it carries no credit risk to the issuer.
A deposit token is a bank liability on a ledger, so it carries the issuing bank's credit risk but sits within the banking system.
Code errors, cyber attacks and key loss are operational risks that tokenization can magnify, since execution is automatic and hard to reverse.
Fragmented ledgers and weak interoperability can recreate the very silos tokenization aims to remove.
Regulators focus on legal certainty, reserve quality, redemption rights and spillovers to banks and funding markets.

Common mistakes

Treating tokenized assets and cryptocurrencies as the same thing Fix: Ask what backs the token. A legal claim on an asset or issuer means tokenized asset. No claim means unbacked crypto asset.
Saying blockchain and distributed ledger mean the same thing Fix: Blockchain is one type of distributed ledger with linked blocks. Other ledger designs exist.
Treating clearing and settlement as the same thing. Fix: Clearing = matching, confirming, netting and calculating obligations. Settlement = final transfer of securities and cash.
Saying the whole trade value is always lost if a counterparty defaults. Fix: With DvP, the loss is mainly the replacement cost, the positive market value change. Full value is at risk only if you delivered without receiving payment.
Saying atomic settlement removes all counterparty risk. Fix: It removes principal settlement risk at the point of exchange. Credit and market exposure between trade and settlement, and replacement cost, can remain.
Treating smart contracts as legally binding by themselves. Fix: Smart contracts automate execution. Legal enforceability and finality depend on the legal framework. Code errors can also cause losses.
Calling a stablecoin a CBDC because both are digital and pegged to a currency. Fix: Separate them by issuer. A CBDC is a central bank liability. A stablecoin is a private claim.
Treating deposit tokens as free of credit risk. Fix: A deposit token is a bank liability. Insurance is limited, so credit risk remains.
Assuming tokenization makes an asset liquid. Fix: Remember that liquidity depends on buyers, sellers and the underlying asset. Fragmented venues can make tokenized markets thinner.
Treating smart contract risk as the same as cyber risk. Fix: Smart contract risk is a flaw in code that works as written. Cyber risk is an attacker, such as key theft or a bridge hack. A hack can exploit a bug, but name the root cause the question points to.

Exam tips

Expect scenario questions that ask you to classify an instrument: tokenized asset, stablecoin, CBDC, deposit token or unbacked crypto asset.
Read for the word that signals backing or issuer. It usually decides the answer.
Be careful with options that call a benefit risk-free. The correct option usually states a benefit with its limit.
Know the Current Issues link: crypto and digital assets sit in the 2026 readings, so tokenization questions may mix benefits, risks and regulation.
Questions usually give a scenario and ask which friction or risk applies. Name the lifecycle stage first.
Know the difference between replacement cost risk and principal risk. Options often swap them.
Watch whether delivery versus payment is stated. It changes the amount at risk.
Link each friction to the tokenization benefit it motivates, such as atomic settlement for delay and shared ledgers for reconciliation.