Foreign Exchange Transactions and Derivatives

Introduction and Context

International trade creates a timing problem. An exporter may receive foreign currency after shipment, while an importer may need to pay a foreign supplier at a future date. Between the date of agreement and the date of payment, exchange rates can change. A movement that is favourable for one party may reduce the margin or increase the cost for the other.

Foreign exchange transactions and derivatives enable firms to manage this uncertainty. The principal instruments are spot transactions, forward contracts, foreign-exchange swaps, currency futures and currency options. They differ in settlement date, standardisation, liquidity, flexibility, pricing method, transaction cost and risk.

A treasury professional should not select an instrument merely because it appears inexpensive. The appropriate decision depends on the exposure, its amount and maturity, the certainty of the underlying cash flow, accounting and regulatory requirements, counterparty credit, liquidity and the firm’s tolerance for retaining upside or downside risk.

Learning Objectives

After studying this chapter, a learner should be able to:

1. Explain spot, forward, swap, futures and option transactions.
2. Interpret bid–ask quotations and calculate customer exchange rates.
3. Calculate forward points, forward premiums and discounts using interest-rate parity.
4. Calculate gains and losses on forwards, futures and options.
5. Explain rollover and cancellation of forward contracts.
6. Compare instruments by cost, flexibility, liquidity and risk.
7. Apply an appropriate hedging strategy to an international-trade exposure.

1. Foreign-Exchange Market Conventions

A currency quotation states the price of one currency in units of another. In the quotation EUR/USD = 1.0850, the euro is the base currency and the US dollar is the quote currency: one euro costs 1.0850 US dollars. A direct quotation from the viewpoint of a US firm is therefore USD 1.0850 per EUR 1. The same relationship can be expressed inversely as EUR/USD approximately 0.9217 when the quotation convention is reversed.

A dealer normally quotes a bid and an ask. For EUR/USD 1.0848/1.0852, the dealer buys euros at 1.0848 dollars and sells euros at 1.0852 dollars. The spread is:

The customer buys the base currency at the ask and sells it at the bid. Confusing these two sides is a common source of trading errors.

Spot and value dates

A spot transaction exchanges currencies for near-immediate delivery, conventionally two business days after the trade date for many major-currency pairs, although conventions vary. A value date is the date on which funds are exchanged. Weekends, public holidays and currency-specific settlement rules must be considered.

For a firm buying EUR 500,000 at an ask rate of USD 1.0852/EUR:

If a firm sells EUR 500,000 to the dealer at the bid rate of 1.0848, it receives USD 542,400. The difference reflects the bid–ask spread, not a change in the market rate.

Cross rates

A cross rate is calculated through a third currency when a direct quotation is unavailable. If EUR/USD = 1.0800 and GBP/USD = 1.2600, then:

Thus, one euro is approximately GBP 0.8571. In practice, bid and ask sides must be combined carefully; one cannot simply average quotations.

2. Forward Exchange Transactions

A forward contract is an agreement made today to exchange a specified amount of currency on a future date at a rate agreed today. Unlike a spot transaction, it fixes the future exchange rate and normally requires no initial exchange of principal. The forward rate is not a prediction of the future spot rate. It is principally determined by the spot rate and the interest-rate differential between the two currencies, subject to market conventions and transaction costs.

Forward pricing and covered interest parity

Let:

• S₀ = current spot rate in quote currency per unit of base currency;
• F₀,T = forward rate for maturity T;
• rq = annual interest rate in the quote currency;
• rb = annual interest rate in the base currency;
• T = time to maturity in years.

Under simple annual compounding and covered interest parity:

Under annual compounding for n years:

Under continuous compounding:

These formulas assume comparable risk-free or funding rates, frictionless covered borrowing and lending, no material taxes or capital controls, and rates expressed consistently. Actual bank quotations also reflect credit, liquidity, capital and transaction adjustments.

Worked example: forward rate and points

Assume USD/INR spot = ₹83.20 per USD, the annual INR interest rate is 7.00%, the annual USD rate is 5.00%, and maturity is six months. Using simple annual compounding:

The forward points are:

Because the forward rate is above the spot rate in this quotation, the USD trades at a forward premium against the INR, while the INR trades at a forward discount against the USD. The annualised forward premium on the USD is approximately:

This is an annualised quotation measure, not necessarily the firm’s economic profit or loss.

Forward settlement and payoff

Suppose an Indian importer must pay USD 1,000,000 in six months and enters a forward to buy dollars at ₹84.0127/USD. The locked rupee cost is:

If the spot rate at maturity is ₹85.50/USD, the importer avoids paying:

relative to buying dollars at maturity’s spot rate. If maturity spot is ₹82.00/USD, the forward is economically unfavourable by ₹2,012,700 relative to spot purchase. This is not a failure of the hedge: the importer exchanged certainty for protection against adverse appreciation and gave up favourable participation.

For a long forward to buy the base currency, the approximate payoff in quote currency is:

where N is the base-currency notional, S_T is maturity spot and K is the contracted forward rate. For a seller of the base currency, the sign is reversed. Settlement may be physical, involving delivery of currencies, or cash-settled by paying the difference.

3. Forward Premiums, Discounts, Rollover and Cancellation

A forward premium or discount describes the relationship between the forward rate and spot rate:

For annualisation over T years:

The interpretation depends on the quotation. In quote-currency-per-base-currency terms, F > S means the base currency is at a forward premium. It does not mean that the base currency is expected, in a guaranteed sense, to appreciate.

Rollover

A rollover extends or replaces a maturing forward when the underlying transaction is delayed. The original contract is closed at the prevailing market value and a new forward is entered for the revised maturity. The new rate is based on the current spot rate and current interest differential, not simply on the old rate.

A rollover can involve:

• a mark-to-market gain or loss on the old contract;
• a spot or tom/next adjustment, depending on timing;
• new forward points;
• bid–ask spread and bank fees;
• credit-limit and documentation considerations.

Rollover is not costless and should not be treated as an automatic extension.

Cancellation or early close-out

If an exposure disappears, the firm should normally request cancellation or close-out rather than leave an unnecessary speculative position. The bank calculates the contract’s replacement value using current market rates. A customer with a favourable contract receives a credit; a customer with an unfavourable contract pays the bank. The amount also reflects the remaining maturity, currency amount, liquidity and spread.

For an importer who is long the base currency, a simplified close-out value is:

This expression is a market-value approximation and assumes identical maturity and no adjustment for discounting, spreads or credit. The actual bank settlement may differ.

4. Foreign-Exchange Swaps

An FX swap combines a purchase or sale of one currency for another on one date with a reverse transaction on a later date. The near leg is commonly spot and the far leg forward, although both legs can be forward transactions. An FX swap is used to manage temporary currency funding, change the maturity of an existing hedge or obtain liquidity without taking an intended long-term currency position.

The swap points are the difference between the far-leg rate and the near-leg rate:

For a dealer, the economic result is driven by the interest differential, adjusted for spreads and funding conditions. A swap is not the same as a currency swap. An FX swap normally exchanges principal at two dates over a relatively short or medium horizon; a currency swap may exchange principal and interest streams over a longer period.

Illustrative swap calculation

A firm sells EUR 2,000,000 spot at USD 1.0848/EUR and agrees to buy the same amount forward at USD 1.0870/EUR. Ignoring transaction costs, the dollar amount on the near leg is:

The dollar amount on the far leg is:

The difference is USD 4,400, reflecting the pricing of the two legs rather than a free profit. The firm has temporarily exchanged currencies and agreed to reverse the exchange.

5. Currency Futures

A currency futures contract is a standardised, exchange-traded agreement to buy or sell a specified currency amount at a future date. Futures are marked to market daily: gains are credited and losses debited through the clearing system. They normally require an initial margin and maintenance margin rather than payment of the full notional amount.

Important characteristics include:

• standard contract size and expiry dates;
• central clearing and generally lower bilateral counterparty risk;
• transparent order-book pricing;
• daily cash-flow volatility from margining;
• basis risk when the futures contract does not exactly match the exposure’s currency, amount or date;
• possible need to close the contract before delivery.

If a firm buys a futures contract with a notional amount N and the futures price rises by ∆P quote-currency units per base-currency unit, the approximate gain is:

For a futures contract on EUR 125,000, a favourable price movement of USD 0.0060/EUR produces:

The calculation excludes commissions and assumes the price movement applies to the full contract. A futures hedge may not perfectly offset an actual trade because the spot and futures prices can converge imperfectly and because settlement dates differ.

6. Currency Options

A currency option gives the buyer the right, but not the obligation, to buy or sell currency at a specified strike rate on or before a specified expiry, depending on whether it is European or American style. The buyer pays a premium. The seller, or writer, receives the premium but assumes potentially substantial obligation.

• A call on the base currency gives the right to buy the base currency.
• A put on the base currency gives the right to sell the base currency.
• An importer requiring foreign currency commonly buys a call on that currency.
• An exporter expecting foreign currency commonly buys a put on that currency.

For a call on the base currency, the intrinsic value at expiry is:

For a put:

The buyer’s net payoff after paying the premium P per unit is:

These are expiry formulas and assume that premium is expressed in the same quote currency as the payoff. A call buyer’s break-even spot rate is K + P; a put buyer’s break-even rate is K − P.

Worked option example

An importer buys a six-month EUR call for USD 0.0180 per EUR, with strike K = USD 1.0800/EUR, for EUR 500,000. The premium is:

If expiry spot is USD 1.1200/EUR, the intrinsic value is:

Net benefit is USD 11,000. The effective purchase cost, including premium, is approximately:

or USD 1.0980/EUR. If expiry spot is USD 1.0500/EUR, the importer allows the option to expire and buys at spot; the premium remains a cost. The option therefore protects against adverse appreciation while preserving the benefit of favourable depreciation.

7. Comparing Instruments

A forward is often suitable when the amount and date are certain and the firm values budget certainty. An option is preferable when the exposure is uncertain or the firm wants protection while retaining favourable movements. Futures may suit standard-sized, liquid exposures where daily margining is acceptable. An FX swap suits a temporary funding or maturity requirement rather than a simple one-way exposure.

The comparison should include total economic cost, not just visible fees. For example, a zero-premium forward can be more expensive than an option if the exchange rate later moves favourably, while an option can be wasteful if the exposure never occurs. The relevant question is which risk the firm is deliberately retaining.

8. Hedging Process and Governance

A disciplined treasury process normally follows these steps:

1. Identify the underlying commercial exposure, currency, amount, timing and direction.
2. Distinguish committed exposures from forecast or uncertain exposures.
3. Define the objective: certainty, downside protection, participation in favourable movements, or liquidity management.
4. Obtain comparable quotations and identify the quotation convention.
5. Calculate all-in cost, including premium, spread, margin funding, fees and possible close-out cost.
6. Execute within approved limits and document the trade.
7. Confirm settlement instructions independently and reconcile confirmations.
8. Monitor market value, collateral, maturity and changes in the underlying exposure.
9. Close, roll or settle the hedge in accordance with policy.

Governance is essential because derivatives can create large obligations relative to the initial cash outlay. Controls should include segregation of dealing, confirmation, settlement and accounting; authorised counterparties; counterparty limits; independent valuation; stress testing; and escalation procedures. The firm should never enter a derivative whose economic purpose and maximum plausible loss are not understood.

Regulatory treatment varies by jurisdiction. Relevant matters may include reporting, suitability, documentation, margin, clearing, netting, foreign-exchange controls, accounting designation and tax. A professional must consult current local rules rather than rely on a generic market convention.

9. Applied Case: Importer with an Uncertain Shipment Date

Background

Illustrative case: Meridian Components, an Indian importer, expects to pay USD 600,000 for machinery. The payment is likely in three months, but shipment may be delayed by two months. Management wants protection against a weaker rupee but does not want to pay a large option premium.

Problem

A three-month forward would provide certainty if the payment occurs on time. If the shipment is delayed, the firm may incur a rollover or cancellation cost. A five-month forward could match the latest possible date but may leave the firm hedged too late or create an unwanted position if payment occurs earlier.

Analysis

The treasury team identifies two risks: exchange-rate risk and timing risk. A fixed forward removes the first but does not remove the second. The team requests quotations for a three-month forward, a five-month forward, and a three-month call option with an expiry compatible with the expected payment window. It also checks whether the bank offers an extendible or window forward, subject to appropriate documentation and pricing.

Assume the three-month forward rate is ₹84.10/USD, the five-month forward is ₹84.55/USD, and the call option strike is ₹84.10/USD with a premium of ₹0.90/USD. A three-month forward locks a rupee cost of:

The option premium is:

If the payment occurs in three months and the spot rate is ₹87.00/USD, the option’s intrinsic protection is ₹2.90/USD, or ₹1,740,000 before premium. Net protection relative to buying at spot is ₹1,200,000 after premium. If spot is ₹82.50/USD, the option is not exercised; the firm buys at spot and pays the premium, preserving the benefit of the stronger rupee.

Approach and outcome

Because the amount is certain but the date is uncertain, Meridian selects an option or a carefully structured window hedge rather than an unexamined fixed forward. If management’s primary objective changes to absolute budget certainty, it may select the forward and accept rollover risk. The decision is documented with a scenario analysis, approval under the treasury policy and a contingency plan for delay.

Learning points

The cheapest visible transaction is not automatically the best hedge. Timing uncertainty materially affects instrument choice. Options have an explicit premium but provide flexibility; forwards have no conventional upfront premium but can produce close-out or rollover costs. The underlying commercial exposure must remain the centre of the decision.

10. Technology, Data and Contemporary Practice

Electronic dealing platforms provide executable prices, automated confirmations and straight-through settlement. Treasury-management systems aggregate exposures, calculate mark-to-market values, monitor limits and produce cash-flow forecasts. Algorithmic tools can compare hedge scenarios, but they do not replace judgement about exposure uncertainty, liquidity or governance.

AI may assist with anomaly detection, forecast classification and reconciliation. Its outputs require controls because poor training data, model drift, incorrect currency conventions or an erroneous maturity can produce a technically precise but economically wrong hedge. Human approval, audit trails, access controls and explainable exception handling remain necessary.

Sustainability and conduct considerations also matter. Firms should avoid speculative derivative activity disguised as hedging, disclose material risks appropriately and ensure that sales practices do not encourage unsuitable products. A hedge should be connected to a documented economic exposure or a clearly approved treasury objective.

Challenges and Limitations

Several limitations complicate apparently simple calculations:

• interest rates may differ by tenor, credit quality and funding market;
• spot and forward quotations contain bid–ask spreads;
• holidays and non-deliverable currencies affect settlement;
• futures create basis risk and margin calls;
• options require assumptions about volatility, interest rates and exercise style;
• a cancelled or rolled hedge may generate a real cash payment;
• forecast exposures may not occur, producing over-hedging;
• accounting results may differ from economic results because of recognition and hedge-accounting rules.

Consequently, textbook formulas are benchmarks. A real transaction should be valued using current market data, the correct quotation side, the correct day-count convention and the institution’s contractual terms.

Chapter Summary

Foreign-exchange transactions manage the conversion and timing of currencies in international trade. Spot transactions settle near term and leave future exposure unprotected. Forward contracts lock a future rate and are priced mainly through covered interest parity, with forward points reflecting the interest differential and market adjustments. FX swaps combine near and far reverse transactions and are useful for temporary funding or maturity management. Futures are standardised, exchange-traded and marked to market, but create margin requirements and basis risk. Options require a premium but provide asymmetric protection and preserve favourable market participation.

Correct execution requires attention to bid–ask sides, quotation conventions, settlement dates, notional amounts, interest-rate assumptions and units. Rollover and cancellation are market transactions with potential gains, losses and spreads. Instrument selection should compare total cost, flexibility, liquidity, counterparty and market risk, and the certainty of the underlying exposure. Effective treasury practice combines quantitative analysis with governance, documentation, independent valuation and regulatory compliance.

Key Terms

Spot transaction: A currency exchange for near-term settlement.

Value date: The date on which the currencies are delivered and funds settle.

Base currency: The first currency in a currency quotation.

Quote currency: The currency in which the base currency’s price is expressed.

Bid: The dealer’s buying rate for the base currency.

Ask: The dealer’s selling rate for the base currency.

Bid–ask spread: The difference between the ask and bid rates.

Forward contract: An agreement to exchange currencies at a future date at a rate fixed today.

Forward points: The difference between a forward rate and the corresponding spot rate.

Forward premium: A forward rate above spot in the stated quotation.

Forward discount: A forward rate below spot in the stated quotation.

Covered interest parity: The relationship linking spot, forward and comparable interest rates.

FX swap: A near-leg and far-leg reverse currency transaction.

Currency futures: Standardised, exchange-traded currency contracts subject to daily marking to market.

Currency option: A right, but not an obligation, to buy or sell currency at a strike rate.

Strike rate: The exchange rate at which an option may be exercised.

Option premium: The price paid by the option buyer.

Rollover: Closing or extending a hedge when the underlying maturity changes.

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

Counterparty risk: Risk that the other party fails to perform its contractual obligation.

Review Questions

5 Short Answer Questions

1. Distinguish a spot transaction from a forward transaction.
2. What do the bid and ask represent in an FX quotation?
3. Define forward points and explain their relationship to spot and forward rates.
4. Why does a futures hedge create margin requirements?
5. Why does an option buyer pay a premium?

5 Long Answer Questions

1. Explain covered interest parity and the assumptions underlying the forward-rate formula.
2. Compare forwards, futures and options for an importer with a known foreign-currency payment.
3. Describe the operational and financial consequences of rolling over a forward contract.
4. Explain the structure and uses of an FX swap, distinguishing it from a currency swap.
5. Discuss the governance controls required for responsible corporate foreign-exchange dealing.

3 Analytical / Application Questions

1. A company must buy USD 750,000 in six months. Spot is ₹83.50/USD, the INR interest rate is 6.8% and the USD interest rate is 5.0%, using simple annual compounding. Calculate the theoretical forward rate and the rupee amount locked by a forward.
2. An exporter buys a EUR put with strike USD 1.0900/EUR for a premium of USD 0.0200/EUR on EUR 400,000. Calculate the net payoff if expiry spot is USD 1.0400/EUR and explain whether exercise is rational.
3. Recommend a forward, futures contract or option for a firm whose currency amount is uncertain, payment timing is flexible and management wants protection but also wishes to benefit from favourable exchange-rate movements. Justify the recommendation using cost, flexibility, liquidity and risk.

Multiple Choice Questions with Answers

Question 1

In the quotation EUR/USD = 1.0850/1.0854, at which rate does the dealer sell euros?

A. 1.0850

B. 1.0852

C. 1.0854

D. 0.9213

Correct Answer: C. 1.0854

Question 2

Using simple annual compounding, if S = 80, quote-currency interest is 6%, base-currency interest is 4%, and T = 0.5, what is the theoretical forward rate?

A. 80.00

B. 80.77

C. 80.80

D. 81.60

Correct Answer: B. 80.77

Question 3

A forward rate is higher than spot in a quote-currency-per-base-currency quotation. What does this indicate?

A. The base currency is at a forward premium

B. The quote currency is at a forward premium

C. There are no interest-rate differences

D. The spot transaction has already settled

Correct Answer: A. The base currency is at a forward premium

Question 4

Which instrument normally involves daily marking to market and margin calls?

A. Spot transaction

B. Forward contract

C. Currency futures

D. Currency option purchased by the buyer

Correct Answer: C. Currency futures

Question 5

An importer needing protection against appreciation of the foreign currency would normally buy which option?

A. A put on the foreign currency

B. A call on the foreign currency

C. A put on the domestic currency only

D. A futures put option in every case

Correct Answer: B. A call on the foreign currency

Question 6

An importer buys a currency call with strike 1.10 and premium 0.02 per unit. Ignoring other costs, what is the break-even expiry spot rate?

A. 1.08

B. 1.10

C. 1.12

D. 1.20

Correct Answer: C. 1.12

Question 7

What is the principal purpose of an FX swap?

A. To provide permanent equity finance

B. To combine near and far reverse currency transactions

C. To eliminate all market risk without cost

D. To replace all option premiums

Correct Answer: B. To combine near and far reverse currency transactions

Question 8

If an underlying payment is delayed, a forward hedge may need to be:

A. Automatically ignored

B. Rolled over or cancelled and replaced

C. Converted into equity

D. Settled at the original spot rate without adjustment

Correct Answer: B. Rolled over or cancelled and replaced

Question 9

A futures contract has a notional amount of EUR 125,000. A favourable price movement is USD 0.006 per euro. What is the approximate gain before costs?

A. USD 75

B. USD 750

C. USD 7,500

D. USD 125,000

Correct Answer: B. USD 750

Question 10

Which feature most clearly distinguishes an option from a forward for the buyer?

A. The option buyer has a right but not an obligation to exercise

B. The option buyer must always exchange the full notional amount

C. The option has no price

D. The option eliminates the need to identify the exposure

Correct Answer: A. The option buyer has a right but not an obligation to exercise