Spot, Forward, and FX Swap Markets

Introduction and Context

Foreign exchange (FX) markets allow firms, investors, banks, governments, and central banks to exchange one currency for another. Although the basic transaction appears simple—one currency is purchased and another sold—the economic value of an FX transaction depends on timing, interest rates, settlement conventions, credit risk, collateral, liquidity, and regulation.

The principal instruments examined in this chapter are spot transactions, outright forwards, nondeliverable forwards (NDFs), and FX swaps. Together, they form the foundation of the global over-the-counter FX market. Spot contracts primarily address immediate currency conversion. Forwards and NDFs manage future exchange-rate exposure. FX swaps combine a near-date exchange with a reverse, later-date exchange and are central to short-term funding and liquidity management.

A central pricing principle is covered interest parity (CIP). Under idealized conditions, the forward exchange rate is determined by the spot exchange rate and the relative interest rates of the two currencies. In practice, the observed relationship is affected by collateral currency, funding spreads, balance-sheet costs, credit risk, liquidity, capital regulation, and market segmentation. Consequently, a graduate-level understanding requires both the textbook parity relationship and its institutional limitations.

Learning Objectives

By the end of this chapter, the reader should be able to:

1. Distinguish spot, outright forward, NDF, and FX swap transactions.
2. Interpret FX quotations and calculate currency amounts at settlement.
3. Derive and apply covered interest parity under clearly stated assumptions.
4. Calculate forward points and explain their economic meaning.
5. Value an existing forward contract using discount factors and current market rates.
6. Explain NDF fixing, settlement, and basis risk.
7. Analyze the structure and pricing of FX swaps.
8. Evaluate the effects of collateral conventions, funding conditions, settlement risk, and regulation.

1. Currency Quotations and Settlement Conventions

An FX quotation expresses the value of one currency in units of another. If EUR/USD = 1.0850, the euro is the base currency and the U.S. dollar is the quote currency: one euro costs 1.0850 U.S. dollars. The market convention is commonly written as:

S = Q/B

where B is one unit of the base currency and Q is the quote currency. In this chapter, the notation S is interpreted as quote currency units per base currency unit. Thus, if S = USD/EUR, the numerical quotation is dollars per euro.

A dealer quotation normally contains a bid and an ask. For example, EUR/USD 1.0848/1.0852 means that the dealer buys euros at 1.0848 dollars and sells euros at 1.0852 dollars. The spread compensates the dealer for liquidity provision, inventory risk, information risk, and operating costs.

Settlement conventions vary by currency pair. Many major pairs settle two business days after the trade date (T+2), while certain pairs, including USD/CAD and USD/TRY in many market conventions, commonly settle T+1. Weekends, public holidays, and non-overlapping holiday calendars affect the value date. A transaction that appears to mature in one calendar month may therefore have a value date adjusted according to business-day conventions.

For a spot purchase of B against Q, the buyer pays Q and receives B. If the buyer purchases N_B units of the base currency at spot rate S, the quote-currency payment is:

Here, N_Q is measured in quote-currency units. This identity assumes that S is quoted as Q per B and that no fees, taxes, or settlement adjustments are included.

2. Spot Transactions

A spot transaction is an agreement to exchange currencies on the standard near-term value date. It is not necessarily an instantaneous exchange. A corporate importer may buy foreign currency spot to pay an invoice, while a bank may execute a spot transaction to rebalance its currency inventory.

The spot rate is determined by dealer markets, electronic trading venues, customer flows, macroeconomic information, interest-rate expectations, and risk preferences. The spot rate itself does not specify the amount of currency being exchanged, the settlement account, or the counterparty-credit terms; these are separate contractual details.

Example 1: Spot settlement

A Canadian importer must pay EUR 2,000,000. The quoted EUR/CAD spot rate is 1.4700/1.4704. Because the importer is buying euros and paying Canadian dollars, it transacts at the ask rate, 1.4704.

If the importer instead sold euros for Canadian dollars, it would receive the bid rate. Confusing the bid and ask is one of the most common operational errors in FX dealing.

3. Outright Forward Contracts

An outright forward is an agreement to exchange a specified amount of one currency for another on a future value date at a predetermined forward rate. Unlike a spot transaction, the exchange occurs later. Unlike an option, the parties normally have an obligation rather than a right to transact.

A forward is useful when the amount and date of a future exposure are sufficiently known. For example, an exporter expecting USD 5 million in 90 days may sell dollars forward for its home currency. The forward fixes the exchange rate and therefore reduces uncertainty, although it also eliminates the opportunity to benefit from a favorable exchange-rate movement.

The forward contract has zero value to both parties at inception when it is struck at the prevailing market forward rate, ignoring bid–ask spreads, credit adjustments, fees, and other transaction costs. Subsequently, it acquires positive value to one party and equal negative value to the other, subject to credit and funding adjustments.

4. Covered Interest Parity

4.1 Economic logic

Covered interest parity states that an investor should obtain the same risk-free covered return from either investing domestically or converting into a foreign currency, investing abroad, and locking the future conversion rate with a forward contract. If returns differed, arbitrageurs could borrow in the lower-return currency, invest in the higher-return currency, and cover the exchange-rate risk.

Let:

• S_0 = current spot rate in quote currency per base currency;
• F_0,T = forward rate for delivery at time T;
• r_B = annualized interest rate in the base currency;
• r_Q = annualized interest rate in the quote currency;
• T = time to maturity in years.

Under simple interest, matching maturities, frictionless markets, unrestricted borrowing and lending, no taxes or transaction costs, and no credit or funding differential, CIP is:

The units are quote currency per base currency on both sides. Under continuously compounded rates, the corresponding expression is:

Under annually compounded effective rates, the simple-interest formula should not be substituted mechanically; the compounding convention must match the rates used. More generally, using discount factors P_B(0,T) and P_Q(0,T), where P denotes the present value of one unit paid at T:

This discount-factor form is especially useful when yield curves are not flat or when rates are compounded according to market conventions.

4.2 Derivation by replication

Suppose an investor wants to obtain one unit of the base currency at time T. One strategy is to buy it forward, paying F_0,T quote-currency units at T. The present value of this payment is F_0,T × P_Q(0,T).

Alternatively, the investor can buy P_B(0,T) units of the base currency today, invest them in the base-currency money market, and obtain one unit at T. The quote-currency cost today is S_0 × P_B(0,T). No-arbitrage requires equality:

Rearranging gives the discount-factor CIP formula. The derivation assumes that the relevant borrowing and lending rates are available and that the forward contract can be entered without material counterparty or balance-sheet constraints.

Example 2: Forward rate using simple interest

Assume:

• EUR/USD spot, S_0 = 1.1000 USD/EUR;
• three-month U.S. dollar rate, r_Q = 5.00% per year;
• three-month euro rate, r_B = 3.00% per year;
• T = 0.25 years.

Using simple interest:

The theoretical three-month forward rate is approximately USD 1.10546 per EUR. The euro trades at a forward premium in dollars because the dollar interest rate is higher than the euro interest rate. This statement concerns the forward quotation, not a prediction that the future spot rate must equal 1.10546.

5. Forward Points

Forward points are the difference between the forward rate and the spot rate:

In Example 2, the forward points are approximately 0.00546, or 54.6 points when one point is 0.0001 in the quotation. Dealers may quote a forward as spot plus or minus points. The sign depends on the relative interest rates and the quotation convention.

Forward points are not a forecast in the strict financial-theory sense. They primarily reflect interest-rate differentials, although market prices also contain cross-currency basis, liquidity effects, credit effects, and transaction costs. A currency with a higher interest rate does not automatically offer a superior covered return because the forward price adjusts for the differential.

6. Valuing an Existing Forward

Pricing a new forward and valuing an existing forward are different tasks. A new contract uses current market rates to determine a fair delivery rate. An existing contract has a fixed contractual rate K and must be valued against the current market forward rate.

For a contract to buy one unit of the base currency and pay K units of the quote currency at T, the quote-currency value to the long-base position is:

For a notional N_B of base currency:

The formula assumes that the contract is settled by comparing equivalent delivery values and that valuation is expressed in quote currency. If the position sells the base currency, the sign is reversed. If the contract is collateralized, the discount factor should generally be based on the relevant collateral or overnight-indexed curve, subject to market convention.

Example 3: Forward valuation

A firm has a forward to buy EUR 10 million in six months at K = 1.1000 USD/EUR. The current six-month market forward is 1.1120 USD/EUR, and the six-month dollar discount factor is 0.9750.

The contract is worth USD 117,000 to the firm because it can buy euros at a rate below the current market forward rate. The counterparty’s corresponding mark-to-market is approximately negative USD 117,000 before credit, funding, and collateral adjustments.

7. Nondeliverable Forwards

An NDF is a cash-settled forward used when physical delivery of a currency is restricted, inefficient, or commercially impractical. The parties agree on a notional amount, an NDF rate K, a fixing date, a settlement date, and a reference fixing source. On the fixing date, the observed reference spot rate is compared with the contracted rate. Only the net difference is paid, usually in a major currency such as U.S. dollars.

Suppose the contract is to buy the restricted currency at K, with notional N in that currency, and the fixing rate is R, expressed in quote currency per unit of restricted currency. A common quote-currency settlement amount for the long-restricted-currency position is:

If R > K, the long position benefits and receives the positive amount. If R < K, the amount is negative and the long position pays. The division by R converts the difference into quote currency when N is denominated in the reference currency. Contract documentation may use an equivalent formula with a different sign convention or settlement currency, so the legal confirmation controls.

Example 4: NDF settlement

A firm buys KRW 10 billion three-month forward at K = 0.000750 USD/KRW. At fixing, the reference rate is R = 0.000760 USD/KRW.

The firm receives approximately USD 131,579. It does not receive Korean won. The NDF therefore hedges the value of the currency exposure in dollars but does not provide the restricted currency needed to pay a local invoice.

Important NDF risks include fixing mismatch, settlement-source risk, convertibility risk, liquidity risk, basis risk between the NDF reference rate and the firm’s actual transaction rate, and legal or regulatory changes. NDFs are also exposed to model and documentation risk because settlement conventions can differ across currency pairs.

8. FX Swaps

An FX swap combines two FX transactions with opposite directions and different value dates. The near leg may be spot or another short maturity; the far leg reverses the currency exchange at a predetermined rate. An FX swap is therefore a temporary exchange of currencies rather than a directional purchase of foreign currency alone.

For example, a bank may sell EUR spot and buy EUR three months forward. It receives dollars now, provides euros now, and reverses the exchange in three months. This structure can manage short-term funding, inventory, or settlement needs.

The swap points are:

When the near leg is spot, the far-leg rate is commonly expressed as spot plus swap points. In an idealized market, swap points are determined by the interest differential between the two currencies. In actual markets they also incorporate cross-currency basis, balance-sheet costs, collateral terms, liquidity, and credit pricing.

An FX swap should not be confused with a currency swap. An FX swap generally has a short or medium maturity and exchanges principal at the near and far dates, often without periodic interest coupons. A cross-currency interest-rate swap normally has longer maturity and includes periodic exchanges of interest, and sometimes principal, under a separate contractual structure.

Example 5: FX swap cash flows

A dealer enters a EUR/USD swap in which it:

• sells EUR 20 million and receives USD 22 million on the near date;
• buys EUR 20 million and pays USD 22.10 million on the far date.

The near rate is 1.1000 USD/EUR and the far rate is 1.1050 USD/EUR. The dealer temporarily obtains USD 22 million and temporarily provides EUR 20 million. The difference between the two dollar amounts reflects the implied financing differential, together with any basis and transaction effects. The economic result cannot be interpreted solely as a prediction about the future EUR/USD spot rate.

9. Collateral, Discounting, and the Breakdown of Textbook CIP

The post-2008 market environment made collateral conventions central to derivatives pricing. A collateralized derivative is not necessarily discounted using an unsecured interbank term rate. If cash collateral is remunerated at an overnight rate, the relevant valuation curve is often an overnight-indexed discount curve for that collateral currency. The appropriate curve depends on the collateral agreement, eligible collateral, remuneration terms, and legal documentation.

A practical valuation may therefore use:

• a spot or near-date FX rate;
• separate collateral discount curves for each currency;
• forward points derived from market FX swap prices;
• cross-currency basis adjustments;
• credit valuation adjustment (CVA), debit valuation adjustment (DVA), and funding valuation adjustment (FVA), where applicable;
• collateral and margin cash flows.

The observed forward rate can be represented conceptually as:

This is an economic decomposition rather than an exact universal accounting identity. The basis is market- and convention-dependent. It may change with currency, maturity, collateral currency, dealer balance-sheet capacity, regulatory capital costs, and stress conditions.

A persistent deviation from the simplest CIP relationship does not necessarily imply a riskless arbitrage opportunity. Arbitrage requires executable borrowing and lending, reliable settlement, sufficient balance sheet, acceptable counterparty risk, and the ability to transfer collateral and cash across jurisdictions. Limits on funding and regulation can make apparent price discrepancies costly or impossible to exploit.

10. Settlement Risk and Market Infrastructure

FX transactions create principal risk because the two currencies may be paid at different times. Herstatt risk refers historically to the danger that one party pays out one currency but does not receive the other because the counterparty or settlement institution fails during the payment window.

Payment-versus-payment systems, particularly those associated with continuous linked settlement, reduce principal risk by coordinating the release of both currencies. Netting agreements reduce gross settlement amounts and liquidity needs. Central clearing is less universal in deliverable FX than in many interest-rate derivatives, so bilateral credit support annexes, margining, close-out netting, and counterparty limits remain important.

Operational controls should include confirmation matching, independent rate verification, sanctions screening, payment authorization, holiday-calendar validation, nostro-account reconciliation, and exception management. A mathematically correct forward price can still generate a loss if the wrong value date or payment instruction is entered.

11. Managerial Applications

Importers and exporters

Importers with known foreign-currency payables may buy forwards or use options. Exporters with receivables may sell foreign currency forward. The hedge ratio should reflect the certainty of the exposure, forecast changes, and the organization’s risk appetite. A forward hedge eliminates exchange-rate uncertainty but may create opportunity cost if the currency subsequently moves favorably.

Treasury funding

Corporate treasurers use FX swaps to transform short-term currency liquidity. A firm with surplus dollars but a temporary euro need may exchange currencies near date and reverse the exchange later. The swap should be assessed as a funding transaction, including collateral, liquidity, rollover, and counterparty risks.

Investment portfolios

International investors may leave currency exposures unhedged, hedge systematically with forwards, or adjust hedge ratios dynamically. A hedge reduces exchange-rate volatility in the investor’s reporting currency but introduces forward-roll costs, basis risk, and potentially altered return characteristics.

Bank dealing and risk management

Banks manage spot delta, forward points, cross-currency basis, settlement exposure, counterparty exposure, and liquidity jointly. A dealer’s quoted forward may differ from a theoretical mid-market rate because of spreads, credit charges, balance-sheet consumption, and expected inventory costs.

12. Illustrative Case: A Multinational’s Euro Exposure

Background

A U.S.-based manufacturer expects to pay EUR 30 million to a German supplier in 90 days. The firm’s reporting currency is the U.S. dollar. It is considering a deliverable forward, an NDF, or leaving the exposure open.

Problem

The firm wants budget certainty but is concerned that the payment date may change and that a forward could create a break cost if the procurement contract is cancelled.

Analysis

The firm first verifies the exposure amount, expected value date, supplier payment currency, and acceptable settlement documentation. Because euros are deliverable and the liability is firm, a deliverable EUR/USD forward is operationally appropriate. An NDF would produce dollar cash settlement but would not deliver euros to pay the supplier.

Assume EUR/USD spot is 1.1000, the 90-day market forward is 1.1055, and the firm buys EUR 30 million forward. Its contractual dollar payment is:

The firm should not describe USD 33.165 million as the guaranteed economic cost in every circumstance. It must also consider credit support, bank spread, collateral, fees, settlement charges, and the possibility of early termination or restructuring.

Approach and solution

The treasury department executes the forward in accordance with its approved hedge policy, records the notional and maturity, confirms the transaction independently, and monitors the supplier invoice. It also establishes procedures for partial delivery, early termination, and rollover if the payment date changes.

Outcome

If the euro later appreciates to 1.14 dollars, the forward protects the firm from the higher spot cost. If the euro depreciates to 1.07 dollars, the firm pays more than it would have paid at spot, but it has obtained budget certainty. The hedge’s success should therefore be evaluated against the stated objective—reducing cash-flow uncertainty—not by comparing it only with the most favorable ex post spot rate.

Learning points

1. Instrument choice must match the exposure’s physical settlement requirement.
2. Forward pricing reflects interest-rate differentials and market basis, not a guaranteed forecast.
3. Hedge effectiveness depends on amount, date, fixing, and documentation alignment.
4. Governance must address changes in forecast exposures and close-out procedures.

13. Governance, Regulation, and Technology

FX activity is governed by trade-confirmation standards, market-conduct rules, anti-money-laundering requirements, sanctions controls, prudential capital rules, margin requirements, and internal dealing authorities. Firms should maintain a clear separation between trading, confirmation, valuation control, collateral management, and settlement operations.

Best practice includes using independent price verification, documented valuation models, observable market inputs where available, model validation, stress testing, and sensitivity analysis. Relevant sensitivities include spot delta, interest-rate sensitivity, basis sensitivity, and counterparty exposure.

Electronic trading, automated confirmation, application programming interfaces, and distributed-ledger experiments can reduce processing time and operational errors. Artificial intelligence may assist with anomaly detection, liquidity forecasting, and reconciliation, but it does not remove the need for human oversight. AI-generated pricing or settlement recommendations require controlled data, explainable decision rules, access security, and validation against market conventions. A system that produces a plausible forward rate using the wrong quotation or holiday calendar can create material loss.

14. Limitations and Critical Evaluation

The simple CIP model is indispensable but incomplete. It assumes frictionless markets, while real markets contain bid–ask spreads, funding constraints, collateral asymmetries, taxes, capital charges, credit risk, and legal restrictions. Interest rates may differ for borrowing and lending, and the relevant rate may depend on the institution’s credit standing and collateral agreement.

Forward contracts also create basis risk when the hedge does not exactly match the underlying exposure. An NDF may reference a fixing that differs from the rate available to the firm. An FX swap may solve a temporary liquidity problem but create rollover risk at maturity. A deliverable forward may reduce cash-flow uncertainty while generating mark-to-market volatility in financial statements, depending on accounting treatment and hedge designation.

Accordingly, professional pricing requires three layers of analysis: first, the no-arbitrage benchmark; second, the market-observed quote and its conventions; and third, the institution-specific costs, risks, and accounting or regulatory consequences.

Chapter Summary

Spot transactions exchange currencies on a near-term value date, while outright forwards exchange specified currencies at a future date and predetermined rate. Covered interest parity links spot, forward rates, and relative currency interest rates. Its simple-interest, continuous-compounding, and discount-factor forms must be used consistently with the relevant compounding and market assumptions.

Forward points are the difference between forward and spot rates and primarily reflect interest-rate differentials, although basis, liquidity, funding, and credit conditions also matter. Existing forwards are valued by comparing the contractual rate with the current market forward and discounting the difference. NDFs settle the difference between a contracted rate and a fixing without delivering the restricted currency. FX swaps combine opposite-direction near and far transactions and function as important short-term funding instruments.

Modern FX pricing depends on collateral conventions, discount curves, cross-currency basis, counterparty risk, settlement infrastructure, and regulatory balance-sheet costs. Effective managerial use requires matching the instrument to the exposure, controlling operational processes, and evaluating hedges against their intended risk-management objective rather than against hindsight.

Key Terms

Spot transaction: FX exchange for the standard near-term value date.

Outright forward: Contract to exchange currencies at a future date at a fixed rate.

FX swap: Near and far FX transactions in opposite directions.

Base currency: First currency in an FX quotation.

Quote currency: Currency in which the base currency is priced.

Bid: Price at which a dealer buys the base currency.

Ask: Price at which a dealer sells the base currency.

Covered interest parity: No-arbitrage relationship linking spot, forward, and relative interest rates.

Forward points: Difference between the forward rate and spot rate.

Discount factor: Present value of one unit paid at a specified future date.

NDF: Cash-settled forward based on a reference fixing.

Fixing rate: Official reference exchange rate used for NDF settlement.

Cross-currency basis: Market adjustment to the idealized interest-parity relationship.

Collateral: Assets or cash posted to secure derivatives obligations.

Payment-versus-payment: Settlement mechanism coordinating delivery of both currencies.

Settlement risk: Risk that one currency is paid without receiving the other.

Mark-to-market: Current economic value of an existing contract.

Value date: Date on which currency exchange occurs.

Rollover risk: Risk that a maturing hedge or funding transaction cannot be renewed on acceptable terms.

Basis risk: Risk that a hedge and the underlying exposure do not move identically.

Review Questions

Short Answer Questions

1. What is the difference between a spot transaction and an outright forward?
2. Define forward points and explain why they may be positive or negative.
3. Why does an NDF not satisfy a physical foreign-currency payment obligation?
4. What is the purpose of the near and far legs of an FX swap?
5. Name two assumptions underlying textbook covered interest parity.

Long Answer Questions

1. Derive covered interest parity using a replication argument and explain the role of discount factors.
2. Compare deliverable forwards and NDFs in terms of cash flows, risks, and appropriate applications.
3. Explain how collateral conventions and cross-currency basis affect practical forward pricing.
4. Discuss settlement risk and the institutional controls used to reduce it.
5. Evaluate the benefits and limitations of using FX swaps for corporate liquidity management.

Analytical / Application Questions

1. A firm must buy EUR 12 million in six months. Explain how you would choose between a forward, an NDF, and an FX option if the firm requires physical euros but is uncertain about the payment date.
2. Using a spot rate of 1.2500 quote currency units per base currency unit, a quote-currency rate of 6%, a base-currency rate of 4%, and T = 0.5, calculate the simple-interest forward rate and interpret the forward points.
3. An existing forward to buy USD has a contractual rate below the current market forward. Explain which party benefits, how the contract is valued, and which operational or credit factors could alter the realized result.

Multiple Choice Questions with Answers

Question 1

Under the quotation convention used in this chapter, EUR/USD = 1.1000 means that:

A. One U.S. dollar costs 1.1000 euros

B. One euro costs 1.1000 U.S. dollars

C. The euro interest rate is 1.1000%

D. The forward points equal 1.1000

Correct Answer: B. One euro costs 1.1000 U.S. dollars

Question 2

A firm buying the base currency in an FX quotation normally transacts at the dealer’s:

A. Bid

B. Midpoint only

C. Ask

D. Fixing rate

Correct Answer: C. Ask

Question 3

Using simple interest, if S₀ = 1.2000, rQ = 6%, rB = 4%, and T = 0.5, the theoretical forward rate is closest to:

A. 1.1882

B. 1.2000

C. 1.2118

D. 1.2240

Correct Answer: C. 1.2118

Question 4

Covered interest parity is based primarily on the principle that:

A. Future spot rates are always predictable

B. Covered domestic and foreign investment returns should be equal absent market frictions

C. Higher-interest-rate currencies always appreciate

D. Forward contracts have no counterparty risk

Correct Answer: B. Covered domestic and foreign investment returns should be equal absent market frictions

Question 5

A forward contract to buy the base currency has positive value to the buyer when:

A. The current market forward rate is below the contractual rate

B. The current market forward rate equals zero

C. The current market forward rate exceeds the contractual rate

D. The spot rate is unchanged from inception

Correct Answer: C. The current market forward rate exceeds the contractual rate

Question 6

The principal distinguishing feature of an NDF is that it:

A. Always requires physical delivery of both currencies

B. Is settled by the net difference against a reference fixing

C. Has no maturity date

D. Can only be used for major reserve currencies

Correct Answer: B. Is settled by the net difference against a reference fixing

Question 7

An FX swap generally consists of:

A. Two same-direction spot trades on the same date

B. A currency option and an interest-rate cap

C. Opposite-direction FX transactions with different value dates

D. A bond purchase and an equity sale

Correct Answer: C. Opposite-direction FX transactions with different value dates

Question 8

If the quote-currency interest rate rises relative to the base-currency interest rate, holding other assumptions constant, the CIP forward rate quoted as quote currency per base currency will generally:

A. Rise

B. Fall to zero

C. Remain exactly equal to spot

D. Become independent of maturity

Correct Answer: A. Rise

Question 9

Payment-versus-payment systems primarily reduce:

A. Interest-rate risk

B. Principal settlement risk

C. Forward-point volatility

D. Inflation risk

Correct Answer: B. Principal settlement risk

Question 10

Which factor can cause observed FX forward pricing to differ from the simplest textbook CIP result?

A. Cross-currency basis and funding constraints

B. The existence of two currencies in the pair

C. The fact that spot rates are quoted numerically

D. The use of a value date

Correct Answer: A. Cross-currency basis and funding constraints