Chapter 3
Foreign Exchange Markets and International Payments
Bachelors Program in Banking Finance and Insurance
International Banking & Finance
•
Bachelor
Foreign Exchange Markets and International Payments
Introduction and context
International banking depends on the ability to exchange currencies and transfer value across jurisdictions. A multinational company may earn euros, owe suppliers in U.S. dollars, and borrow in Japanese yen. Banks therefore provide foreign-exchange dealing, payment transmission, clearing, settlement, liquidity, and risk-management services.
The foreign-exchange (FX) market is a global, largely over-the-counter market in which currencies and currency claims are bought and sold. It includes commercial banks, central banks, corporations, investment funds, brokers, payment institutions, and electronic trading platforms. The market operates through interconnected dealing centres rather than through one physical exchange.
This chapter develops the conventions and processes required to price and settle international transactions. Particular attention is given to quotation conventions, spot and forward transactions, cross-rates, bid–ask spreads, settlement dates, correspondent banking, SWIFT messaging, clearing, and settlement risk.
Learning objectives
By the end of this chapter, you should be able to:
Interpret direct and indirect exchange-rate quotations correctly.
Calculate currency amounts using spot, forward, and cross-rates.
Apply bid–ask quotations from the perspective of a dealer.
Explain value dates, settlement conventions, and forward points.
Distinguish payment messages from the movement and final settlement of funds.
Describe correspondent banking, SWIFT, clearing systems, and payment-versus-payment arrangements.
Assess operational, legal, liquidity, and principal settlement risks.
1. Currency quotations and market conventions
1.1 The A/B convention
Under the standard A/B convention, a quotation written as A/B means the number of units of currency B required to buy one unit of currency A:
SA/B = units\ of\ B\ per\ unit\ of\ A
Thus, EUR/USD = 1.0850 means that one euro costs 1.0850 U.S. dollars. EUR is the base currency and USD is the quote (or terms) currency.
A quotation is a price, not merely a ratio. The market convention identifies which currency is being bought and which is being sold. If a customer buys euros against dollars at EUR/USD 1.0850, the customer pays dollars and receives euros.
1.2 Direct and indirect quotations
Direct and indirect are defined relative to a resident’s domestic currency, so the same transaction can be direct in one country and indirect in another.
For a U.S. resident, the domestic currency is USD:
Direct quotation: domestic currency per unit of foreign currency. EUR/USD = USD per EUR is direct for a U.S. resident.
Indirect quotation: foreign currency per unit of domestic currency. USD/EUR = EUR per USD is indirect for a U.S. resident.
Therefore, USD/EUR is not “dollars per euro”; it is euros per dollar. If EUR/USD = 1.0850, then, ignoring rounding:
USD/EUR = 1 ÷ 1.0850 = 0.9217\ EUR\ per\ USD
For a euro-area resident, EUR/USD is indirect because it states dollars per euro, while USD/EUR is direct because it states euros per dollar. The direct/indirect label must always be accompanied by the resident’s domestic currency.
1.3 Spot quotations and value dates
A spot FX transaction normally settles shortly after the trade date. For most major-currency pairs, the conventional spot value date is T+2 business days, although some pairs and market arrangements use T+1. Weekends and relevant currency holidays are excluded. A value date must be a valid banking day in the currencies being delivered; otherwise settlement rolls according to the applicable market convention.
A spot quotation may be written as a single rate for teaching purposes, but dealers normally quote two prices:
Bid\text{–}ask = Sbid/Sask
The bid is the dealer’s buying price for the base currency; the ask is the dealer’s selling price for the base currency. The ask is normally higher than the bid.
For a quoted currency pair, a customer buying the base currency uses the ask, while a customer selling the base currency uses the bid. A common error is to select the lower rate simply because it produces a larger or smaller numerical answer. The correct rate is determined by the dealer’s transaction, not by arithmetic preference.
If a customer buys EUR 2,000,000 at the ask, the dollar payment is:
USD\ paid = 2,000,000 × 1.0852 = USD\ 2,170,400
If the customer sells EUR 2,000,000 at the bid, the dollar proceeds are:
USD\ received = 2,000,000 × 1.0848 = USD\ 2,169,600
The difference reflects the spread, before commissions and other costs.
2. Spot, forward, and swap transactions
2.1 Spot transactions
A spot transaction exchanges two currencies at an agreed rate for the spot value date. A firm that must pay USD 5 million in 60 days can either wait and accept the future spot rate or lock in a forward rate. Waiting creates exchange-rate uncertainty; a forward contract replaces that uncertainty with a contractual rate, subject to counterparty and liquidity risks.
2.2 Forward transactions
A forward FX contract specifies:
the currencies and amounts;
the exchange rate;
the future value date;
the counterparties;
settlement and documentation terms.
For a forward quotation expressed as A/B:
FA/B = SA/B + forward\ points
This addition is valid only when forward points are quoted in the same A/B units and with the market’s stated sign convention. If points are quoted as an outright adjustment in quote-currency units per base-currency unit, negative points reduce the spot rate.
2.3 Interest-parity benchmark
Under simplified covered interest parity, assuming frictionless markets, comparable interest periods, no capital controls, and rates expressed consistently:
FA/B = SA/B × \frac{1+iB T}{1+iA T}
Here, S and F are quote-currency units per base-currency unit, i_A is the annualized interest rate on currency A, i_B is the annualized interest rate on currency B, and T is the year fraction for the contract period. The formula is a benchmark, not a guarantee of the dealer’s quote. Bid–ask spreads, credit charges, liquidity, collateral, and market conventions can cause deviations.
Worked example. Let EUR/USD spot be 1.0800, the one-year euro interest rate be 3%, and the one-year U.S. dollar interest rate be 5%. Then:
FEUR/USD = 1.0800 × \frac{1.05}{1.03} = 1.1010\ approximately
The dollar interest rate is higher, so the dollar price of the euro is higher in this simplified forward calculation. This result follows from the quotation orientation and should not be memorized without checking the formula.
2.4 FX swaps
An FX swap combines a near-date exchange with an opposite exchange on a later date. It is commonly used to manage temporary currency liquidity rather than to take a simple directional position. A spot–forward swap, for example, may allow a bank to obtain euros today while agreeing to return euros and receive dollars later.
3. Cross-rates and triangular consistency
A cross-rate is obtained from two quoted currency pairs when the desired pair is not directly quoted.
With bid–ask prices, the dealer must use the combination that produces the correct buying or selling rate. A simplified illustration uses mid-rates; an executable cross-quote requires propagation of the relevant bids and asks. Ignoring spreads, triangular arbitrage would exist if the directly quoted rate differed materially from the cross-rate after transaction costs. In practice, funding costs, latency, credit limits, and execution risk matter.
4. Payments, messaging, clearing, and settlement
4.1 The payment chain
An international payment has several distinct stages:
Initiation: the payer instructs its bank, including beneficiary, amount, currency, account, purpose, and required date.
Validation and screening: the bank authenticates the instruction and conducts sanctions, anti-money-laundering, fraud, and format checks.
Message transmission: payment instructions are transmitted through an appropriate secure network or system.
Clearing: participating institutions exchange, validate, and calculate obligations, often through a payment system or correspondent arrangement.
Settlement: the obligations are discharged by transfer of central-bank money, commercial-bank money, securities, or another permitted settlement asset.
Reconciliation and notification: accounts are updated, exceptions investigated, and the beneficiary informed.
A payment message is an instruction or data record. It is not itself the funds. A message may travel through a communications network while the money moves through correspondent accounts, a central-bank RTGS system, a net settlement system, or another payment arrangement.
4.2 Correspondent banking
A correspondent bank provides payment, clearing, cash-management, or other services to another bank, usually in a currency or jurisdiction where the respondent bank lacks direct access. The respondent bank may maintain a nostro account—“our account with you”—with the correspondent. From the correspondent’s perspective, the same account is a vostro account—“your account with us.”
For example, Bank X in Country X may use Bank Y in the United States to make dollar payments. Bank X instructs Bank Y to debit X’s dollar nostro account and credit or route funds to the beneficiary’s bank. Additional correspondents may be required if no direct relationship exists.
Correspondent banking creates benefits but also dependencies: credit exposure to the correspondent, operational reliance, legal uncertainty across jurisdictions, sanctions-screening duties, and possible delays caused by investigations or inadequate payment data.
4.3 SWIFT and payment systems
SWIFT is a cooperative financial messaging network and standards organization. It transmits standardized, authenticated messages between financial institutions; it does not generally hold customer balances, provide the final settlement asset, or function as a bank that sequentially intermediates the funds.
The payment and message paths should therefore be distinguished:
Distinct message and funds paths in an international payment
Figure: Distinct message and funds paths in an international payment
Figure: SWIFT carries payment messages, while funds settle through a clearing, correspondent, or settlement system between the payer and beneficiary banks.
The diagram is conceptual: actual arrangements may combine roles, use several correspondents, or settle through a central-bank system. The essential principle remains that communication and settlement are separate functions.
4.4 Clearing systems
A clearing system determines obligations between participants and may exchange, net, validate, and route payment instructions. In a gross system, each payment is settled individually. In a net system, payments are offset and only net obligations are settled at specified times. RTGS systems settle qualifying transactions individually and continuously, usually in central-bank money. Payment-versus-payment (PvP) mechanisms seek to ensure that one currency is delivered only if the counter-currency is delivered, thereby reducing principal risk.
5. Settlement risk and controls
5.1 Types of risk
Principal settlement risk: one party irrevocably pays the currency it sold but does not receive the currency it bought. The amount at risk can equal the full currency amount irrevocably paid when the counter-currency has not been received; it is therefore not necessarily limited to a small fraction of the notional value.
Replacement-cost risk: after a counterparty default, the surviving party must replace the transaction at a less favourable market rate.
Liquidity risk: funds are unavailable at the required time, even if the institution remains solvent.
Herstatt or time-zone risk: one currency is delivered earlier in the day or jurisdiction than the other, leaving an intraday exposure.
Legal and compliance risk: enforceability, sanctions, AML obligations, data rules, and insolvency treatment differ across jurisdictions.
Notional amount is the contractual reference amount, while exposure depends on payment timing, irrevocability, collateral, netting, replacement cost, and whether delivery has occurred. A notional amount is not automatically an exposure measure; however, in a failed bilateral currency delivery, principal exposure can be the full amount already paid.
5.2 Risk-reduction practices
Banks and corporates should:
use PvP settlement where available;
establish cut-off times and validated value dates;
apply segregation of duties and dual authorization;
authenticate beneficiary changes independently;
monitor nostro balances and intraday liquidity;
reconcile confirmations, payment messages, and account statements;
use sanctions and AML screening with documented escalation;
apply counterparty limits and collateral where appropriate;
maintain tested contingency and recovery procedures.
A strong control environment does not eliminate risk. It reduces the probability, duration, and amount of loss and provides evidence for investigation and regulatory review.
6. Illustrative case: a manufacturer’s euro receivable
Background
A U.S. manufacturer will receive EUR 4 million in 90 days from a German customer. Its functional currency is USD, and management wants to reduce uncertainty in the dollar value of the receivable.
Problem
If the euro depreciates against the dollar before receipt, the manufacturer will obtain fewer dollars. If it enters a forward sale of euros, it locks the conversion rate but gives up the benefit of a euro appreciation.
Analysis
Assume the bank quotes a 90-day forward EUR/USD rate of 1.0760/1.0770 from the customer’s perspective as a dealer quote. The manufacturer is selling euros and buying dollars, so it uses the dealer’s bid, 1.0760 USD per EUR.
The firm must confirm whether the forward is physically settled or cash-settled, document the trade, and coordinate the future receipt with the forward’s value date. It should also examine the customer’s payment route, correspondent requirements, sanctions screening, and the possibility of delay. If the receivable arrives late, a mismatch may create an uncovered exposure or require an extension transaction.
Approach and outcome
The manufacturer enters a forward sale for EUR 4 million at 1.0760. It obtains budget certainty of approximately USD 4.304 million, subject to contract terms, settlement costs, and counterparty performance. The hedge does not remove all risk: the customer may pay late or default, the bank may face operational disruption, and the hedge amount may not match the realized receivable.
Learning points
Hedging begins with identifying the currency, amount, and timing of the underlying cash flow.
The customer selling the base currency uses the dealer’s bid.
A forward reduces exchange-rate uncertainty but creates contractual and counterparty obligations.
Payment execution and FX hedging must be reconciled by value date, not merely by trade date.
7. Governance, technology, and contemporary developments
International payments are increasingly automated through APIs, ISO 20022 structured data, real-time payment links, sanctions-screening engines, and machine-learning tools for fraud detection. These technologies can improve straight-through processing and identify unusual payment patterns, but they introduce model risk, data-quality risk, cyber risk, and explainability concerns. Human review remains important for high-risk alerts and unusual transactions.
Regulators generally expect risk-based AML and sanctions controls, customer due diligence, transaction monitoring, record retention, resilience, and protection of customer funds. Institutions must distinguish legitimate privacy protection from concealment of beneficial ownership or evasion of controls. Artificial intelligence should support, not replace, accountable governance: models require validation, access controls, audit trails, bias testing, and procedures for false positives and false negatives.
Emerging payment arrangements—including faster cross-border rails, tokenized deposits, wholesale central-bank digital currency experiments, and linked domestic payment systems—may reduce friction. They do not eliminate the need to resolve legal finality, liquidity, interoperability, sanctions, identity, and settlement-risk questions.
Chapter Summary
The A/B convention states quote-currency units per base-currency unit. Direct and indirect quotations depend on the resident’s domestic currency: for a U.S. resident, EUR/USD is USD per EUR and is direct, whereas USD/EUR is EUR per USD and is indirect. Spot transactions settle on a conventional value date; forwards lock a future exchange rate, and their benchmark relationship to spot can be analyzed using covered interest parity.
Bid–ask application requires identifying whether the dealer buys or sells the base currency. Cross-rates follow currency-unit cancellation and must incorporate bid–ask direction in executable pricing. International payments involve initiation, screening, message transmission, clearing, settlement, and reconciliation. SWIFT is a secure messaging network, not the funds-settlement institution; funds may settle through correspondents, RTGS, net systems, or other arrangements.
Settlement risk includes principal, replacement-cost, liquidity, time-zone, operational, legal, and compliance risks. Principal exposure can equal the full currency amount irrevocably paid when the counter-currency is not received. PvP, strong authentication, reconciliation, liquidity monitoring, counterparty limits, and tested resilience reduce these risks.
Key Terms
A/B quotation: Quote-currency units per unit of the base currency.
Ask: Dealer’s selling price for the base currency.
Bid: Dealer’s buying price for the base currency.
Base currency: Currency stated first in a currency pair.
Clearing: Exchange, validation, and calculation of payment obligations before settlement.
Correspondent bank: Bank providing payment or banking services to another bank.
Cross-rate: Exchange rate derived from two or more other currency quotations.
Direct quotation: Domestic currency per unit of foreign currency for a specified resident.
Forward contract: Agreement to exchange currencies at a future date and predetermined rate.
Indirect quotation: Foreign currency per unit of domestic currency for a specified resident.
Nostro account: A bank’s account held with a foreign correspondent.
Payment-versus-payment: Arrangement linking delivery of one currency to delivery of another.
Principal settlement risk: Risk of losing the full currency paid because the counter-currency is not received.
Quote currency: Currency stated second in a currency pair.
RTGS: Real-time gross settlement of payments individually and continuously.
Settlement: Final discharge of an obligation through transfer of the agreed asset or funds.
Spot transaction: Currency exchange for the conventional near-term value date.
Spread: Difference between a dealer’s ask and bid.
SWIFT: Secure global network and standards system for financial messaging.
Value date: Date on which currency or funds are contractually delivered and settled.
Review Questions
Short Answer Questions
Under the A/B convention, what does EUR/USD = 1.0850 mean?
Why can the same quotation be direct for one resident and indirect for another?
Which side of a dealer’s EUR/USD quote does a customer use when selling euros?
What is the difference between a SWIFT message and settlement of funds?
Define principal settlement risk.
Long Answer Questions
Explain spot and forward transactions, including value dates and the role of forward points.
Derive a cross-rate using currency-unit cancellation and explain how bid–ask spreads affect executable rates.
Describe the roles of correspondent banks, nostro accounts, clearing systems, and RTGS systems.
Explain the principal, replacement-cost, liquidity, operational, and legal risks in international settlement.
Evaluate how ISO 20022, automation, and artificial intelligence may improve and complicate cross-border payments.
Analytical / Application Questions
A dealer quotes EUR/USD 1.0848/1.0852. Calculate the dollar cost of buying EUR 750,000 and the dollar proceeds from selling EUR 750,000. Explain the different rates used.
EUR/USD is 1.0800 and USD/JPY is 150.00. Calculate EUR/JPY and show why multiplication is appropriate.
A bank irrevocably pays USD 10 million to a correspondent for a currency transaction but receives no euros because the counterparty defaults. Analyze the principal exposure, distinguish it from notional exposure, and recommend two controls that could reduce the risk.
Multiple Choice Questions with Answers
Question 1
For a U.S. resident, EUR/USD = 1.0850 is best described as:
A. A direct quotation stating USD per EUR
B. An indirect quotation stating USD per EUR
C. A direct quotation stating EUR per USD
D. An indirect quotation stating EUR per USD
Correct Answer: A. A direct quotation stating USD per EUR
Question 2
If EUR/USD = 1.0800, the approximate USD/EUR rate is:
A. 0.0800 EUR per USD
B. 0.9259 EUR per USD
C. 1.0800 EUR per USD
D. 2.0800 EUR per USD
Correct Answer: B. 0.9259 EUR per USD
Question 3
A dealer quotes EUR/USD 1.0848/1.0852. A customer buying euros should use:
A. 1.0848
B. The midpoint, 1.0850
C. 1.0852
D. The inverse of 1.0848
Correct Answer: C. 1.0852
Question 4
At EUR/USD 1.0852, the dollar cost of EUR 2,000,000 is:
A. USD 2,000,000
B. USD 2,170,400
C. USD 2,169,600
D. USD 1,843,000
Correct Answer: B. USD 2,170,400
Question 5
If EUR/USD = 1.0800 and USD/JPY = 150.00, the approximate EUR/JPY cross-rate is:
A. 138.89 JPY per EUR
B. 150.00 JPY per EUR
C. 162.00 JPY per EUR
D. 1.0135 JPY per EUR
Correct Answer: C. 162.00 JPY per EUR
Question 6
Which statement about SWIFT is correct?
A. It is generally the final settlement asset for international payments
B. It is a secure financial messaging network and standards system
C. It guarantees that every beneficiary receives funds immediately
D. It replaces all correspondent-bank accounts
Correct Answer: B. It is a secure financial messaging network and standards system
Question 7
A nostro account is:
A. A customer’s cash account at a retailer
B. A bank’s account held with a correspondent bank
C. A central bank’s foreign-exchange reserve only
D. A securities exchange’s margin account
Correct Answer: B. A bank’s account held with a correspondent bank
Question 8
Principal settlement risk occurs when:
A. A quoted spread widens before a trade is executed
B. A bank earns less interest than forecast
C. One currency is irrevocably paid but the counter-currency is not received
D. A forward contract is entered into at mid-market
Correct Answer: C. One currency is irrevocably paid but the counter-currency is not received
Question 9
Under the simplified covered-interest-parity formula, if the quote-currency interest rate rises while other variables remain constant, the calculated F_{A/B} will:
A. Increase
B. Decrease to zero
C. Remain mathematically unchanged
D. Become equal to the spot inverse
Correct Answer: A. Increase
Question 10
Which mechanism most directly reduces principal risk in a two-currency settlement?
A. A wider bid–ask spread
B. Payment-versus-payment settlement
C. A longer payment message
D. Using an indirect quotation
Correct Answer: B. Payment-versus-payment settlement