Foreign Exchange and International Financial Markets

Introduction

Foreign exchange (FX) markets connect national financial systems by enabling currencies to be exchanged for trade, investment, financing and risk management. Exchange-rate movements influence import costs, export competitiveness, investment returns, inflation and the solvency of borrowers with foreign-currency debt.

This chapter develops a consistent quotation convention and applies it to spot, forward and cross rates. It then examines exchange-rate determination, purchasing-power and interest-rate parity, balance-of-payments relationships, international capital flows, currency exposure, sovereign risk and hedging decisions.

Learning Objectives

After studying this chapter, students should be able to:

1. Interpret direct, indirect, spot, forward and cross exchange rates.
2. Calculate cross rates and identify triangular-arbitrage inconsistencies.
3. Derive and apply covered interest parity.
4. Explain purchasing-power parity, uncovered interest parity and exchange-rate determination.
5. Interpret balance-of-payments accounts using the BPM6 financial-account convention.
6. Evaluate transaction, translation and economic currency exposure.
7. construct forward, money-market, option and collar hedges correctly.
8. Assess international capital flows and sovereign risk.
9. Recommend hedging policies consistent with governance and business objectives.

1. The International Foreign-Exchange Market

The FX market is a global, decentralized, predominantly over-the-counter market. Major participants include commercial banks, central banks, investment funds, multinational corporations, sovereign wealth funds, brokers and electronic market makers.

Unlike a centralized stock exchange, FX trading occurs across linked dealing centers. Trading is nearly continuous during the business week as activity moves among Asia, Europe and the Americas.

1.1 Main market segments

FX swaps are widely used for short-term liquidity and funding. A swap combines a spot transaction with an offsetting forward transaction. A currency swap is generally longer-term and may exchange streams of interest payments as well as principal.

2. Exchange-Rate Quotations

2.1 A consistent slash convention

Throughout this chapter, the quotation A/B means units of currency A per one unit of currency B. Currency A is the price or terms currency; currency B is the base currency.

For example:

S_EUR/USD = 0.9200

means €0.9200 per US$1. The symbol S_A/B denotes a spot rate quoted in units of A per unit of B.

The reciprocal quotation is:

Thus, if S_EUR/USD = 0.9200, then:

Therefore, €1 costs approximately US$1.0870.

2.2 Appreciation and depreciation

For S_A/B, an increase means that one unit of B buys more units of A. Thus, B has appreciated against A, while A has depreciated against B.

If S_EUR/USD rises from 0.92 to 0.96, the dollar appreciates against the euro because each dollar purchases more euros.

2.3 Bid–ask spreads

A dealer might quote EUR/USD as 0.9195–0.9205. The dealer:

• buys US dollars at €0.9195 per dollar—the bid;
• sells US dollars at €0.9205 per dollar—the ask.

The proportional spread, measured relative to the midpoint, is:

The spread compensates dealers for operating costs, inventory risk, credit exposure and adverse selection. It tends to widen in illiquid or volatile markets.

3. Cross Exchange Rates and Triangular Arbitrage

A cross rate is derived from two exchange rates that share a common currency. Units should be written explicitly to prevent inversion errors.

Suppose:

• S_EUR/USD = 0.9200 euros per dollar;
• S_JPY/USD = 150.00 yen per dollar.

The EUR/JPY rate is:

Its reciprocal is:

Therefore, €1 costs approximately ¥163.04.

Triangular arbitrage becomes possible if dealer quotations imply a materially different cross rate after allowing for bid–ask spreads and transaction costs. Arbitrage purchases a currency where it is relatively cheap and sells it where it is relatively expensive. Such trading normally removes discrepancies rapidly.

4. Forward Exchange Rates

A forward contract fixes today the rate at which two parties will exchange currencies on a specified future date. Let:

• S_D/F = spot rate, units of domestic currency D per foreign currency F;
• F_D/F,T = forward rate for maturity T;
• i_D = domestic interest rate for the maturity;
• i_F = foreign interest rate for the same maturity.

The forward premium on F is:

For an annualized simple approximation over T years:

This approximation should not be confused with an effective compounded return.

4.1 Covered interest parity

Covered interest parity (CIP) equates domestic investment returns with foreign returns whose exchange risk has been eliminated using a forward contract.

One unit of domestic currency invested domestically becomes 1+i_D. Alternatively, it can be converted into 1/S_D/F units of F, invested to obtain (1+i_F)/S_D/F units of F, and sold forward for domestic currency.

No-arbitrage requires:

Therefore:

The rates must cover the same maturity and use compatible compounding conventions. Credit risk, transaction costs, collateral rules and capital constraints can create observed deviations.

Worked Example: Forward rate under CIP

Suppose:

• spot INR/USD = ₹83.00 per dollar;
• one-year Indian interest rate = 6%;
• one-year US interest rate = 4%.

The no-arbitrage forward rate is approximately ₹84.60 per dollar. The dollar is at a forward premium against the rupee because the Indian interest rate is higher.

5. Exchange-Rate Determination

Exchange rates are asset prices influenced by expectations about future monetary policy, inflation, growth, political stability and investment returns. Different models illuminate different horizons; no single model predicts exchange rates reliably in all circumstances.

5.1 Currency demand and supply

Demand for a currency may arise from exports, inward investment or portfolio rebalancing. Supply may arise from imports, outward investment or capital flight. The exchange rate adjusts to reconcile desired purchases and sales, although central banks may intervene.

Figure: A simplified demand–supply representation of an exchange rate.

5.2 Purchasing-power parity

Absolute purchasing-power parity (PPP) states that identical tradable baskets should have equal prices when expressed in a common currency. With S_D/F defined as domestic currency per foreign currency:

Here, P_D and P_F are comparable domestic and foreign price indices. Absolute PPP is restrictive because baskets, taxes, transportation costs and non-traded goods differ.

Relative PPP predicts approximately:

where π_D and π_F are domestic and foreign inflation. Higher domestic inflation is therefore associated with domestic-currency depreciation over sufficiently long horizons.

The real exchange rate is:

An increase in q represents a real depreciation of the domestic currency under this convention. Interpretation requires price indices with comparable bases.

5.3 Uncovered interest parity

Uncovered interest parity (UIP) relates interest differentials to expected exchange-rate changes without using a forward hedge. In approximate form:

Here, ρ is a currency risk premium under the stated convention. If ρ=0, the domestic–foreign interest differential equals expected domestic-currency depreciation. UIP often performs poorly over short horizons because expectations and risk premia vary.

5.4 Monetary policy and expectations

Higher interest rates can attract capital and strengthen a currency when the increase raises expected risk-adjusted returns. However, rates may rise because of inflation, fiscal stress or default risk, in which case the currency may weaken. Market interpretation depends on the reason for the policy change and its credibility.

6. Balance of Payments and International Capital Flows

The balance of payments records transactions between residents and non-residents during a period.

6.1 BPM6 sign convention

Under the IMF BPM6 presentation, the financial-account balance is broadly defined as net acquisition of financial assets minus net incurrence of liabilities. With that convention:

Consequently, a current-account surplus is normally associated with positive net lending in the financial account. For example, if CA=+20, KA=0 and EO=0, then FA=+20.

Some older presentations define the financial or capital-flow balance as net financial inflows. That measure enters the identity with a plus sign. Analysts must identify the convention rather than mix signs from different systems.

6.2 Exchange-rate implications

A current-account deficit requires financing through net liability creation, asset sales or reserve movements. It is not automatically harmful: financing productive investment can increase future capacity. Vulnerability rises when deficits are persistent, funded by short-term foreign-currency debt or accompanied by weak reserves.

Capital flows respond to expected returns, liquidity, global risk appetite, interest rates and institutions. Sudden stops can force sharp currency depreciation and painful domestic adjustment. Central banks may use reserves, interest rates, macroprudential controls or temporary intervention, but each response has costs.

7. International Financial Markets

International financing occurs through several interconnected markets:

• Offshore currency markets: deposits and loans denominated in a currency outside its home jurisdiction.
• International bond markets: foreign bonds issued in a host market and international bonds distributed across markets.
• Syndicated loans: large loans provided by groups of banks.
• Global equity markets: cross-border listings and portfolio investment.
• Derivatives markets: instruments for managing currency, interest-rate and credit risk.

These markets broaden funding sources but create legal, settlement, liquidity and currency mismatches. A borrower should not select foreign-currency debt solely because its nominal interest rate is lower. The relevant cost includes exchange-rate changes, fees, hedging costs and country risk.

8. Currency Exposure

8.1 Transaction exposure

Transaction exposure arises from contracted foreign-currency cash flows, such as receivables, payables, interest or principal. It is normally measurable by currency and maturity.

8.2 Translation exposure

Translation exposure arises when foreign subsidiaries’ financial statements are converted into the parent company’s reporting currency. It affects reported values but need not create an immediate cash flow.

8.3 Economic exposure

Economic exposure is the effect of exchange-rate changes on future operating cash flows and enterprise value. It includes changes in competitiveness, customer demand, input prices and competitors’ behavior. It is broader than accounting exposure and often requires operational responses.

9. Hedging Foreign-Currency Cash Flows

Hedging should reduce unwanted risk rather than attempt to forecast currencies for speculative gain. The correct hedge direction follows from the underlying exposure.

9.1 Forward hedge

For a foreign-currency payable of X units, buy X foreign currency forward. For a foreign-currency receivable, sell the foreign currency forward.

If a UK-style importer owes US$1 million and its functional currency is euros, it buys dollars forward and pays euros at maturity.

9.2 Money-market hedge for a payable

For a payable of X units of F due at time T:

1. Calculate the foreign present value X/(1+i_F).
2. Borrow domestic currency.
3. Use the borrowed domestic currency to buy the foreign present value at spot.
4. Invest that foreign amount until maturity.
5. Use the matured foreign investment, equal to X, to settle the payable.
6. Repay the domestic loan.

The domestic amount borrowed today is:

Its maturity repayment is:

Under CIP, this equals F_D/F,T×X. This procedure is not reversed: a payable hedge requires borrowing domestic currency, purchasing foreign currency and investing the foreign present value.

For a receivable, the opposite structure applies: borrow the foreign present value, convert it into domestic currency, invest domestically, and use the foreign receivable to repay the foreign loan.

9.3 Currency options

A firm with a foreign payable may buy a call option on the foreign currency. A firm with a foreign receivable may buy a put on that foreign currency. Options protect against adverse movements while preserving favorable participation, but require a premium.

9.4 Importer collar

Suppose an importer must buy foreign currency and uses S_D/F. A collar can be created by:

• buying a foreign-currency call at upper strike K_U;
• selling a foreign-currency put at lower strike K_L;
• ensuring K_L<K_U.

Ignoring premiums, the effective purchase rate is:

For strikes of 1.20 and 1.26 domestic currency per foreign unit, the importer buys the call at 1.26 and sells the put at 1.20. The call caps the maximum purchase rate; the written put sacrifices gains below 1.20. The premium received from the put can reduce the call’s cost.

9.5 Choosing a hedge

A hedge should be compared using consistent dates, currencies, transaction costs, credit limits and opportunity costs.

10. Applied Case: Meridian Medical Systems

This is an illustrative fictional case.

Background

Meridian Medical Systems Europe expects to receive US$2,000,000 from a customer in six months. Its functional currency is the euro. Market data are:

• spot EUR/USD = €0.9200 per dollar;
• six-month euro interest rate = 1.5%;
• six-month US dollar interest rate = 2.5%;
• six-month forward EUR/USD = €0.9110 per dollar;
• six-month USD put/euro call strike = €0.9000 per dollar;
• option premium = €0.012 per dollar, payable immediately.

Problem

A decline in EUR/USD would reduce the euro value of the dollar receivable. Meridian therefore needs protection against dollar depreciation. The appropriate option is a USD put/euro call, giving Meridian the right to sell dollars for euros. A euro put/dollar call would increase rather than hedge its exposure.

Forward analysis

Using CIP:

The quoted €0.9110 is consistent with parity. Forward proceeds are:

Money-market hedge

Meridian borrows the present value of the dollar receivable:

It converts the dollars into euros:

Investing euros for six months produces:

At maturity, the US$2 million receivable repays the dollar loan. The small difference from the quoted forward outcome reflects rounding.

Option analysis

The immediate premium is:

Its six-month future value is €24,360. If the maturity spot rate is €0.85 per dollar, Meridian exercises the USD put and receives €1,800,000 gross. Net of the future value of the premium, the maturity-equivalent proceeds are €1,775,640.

If spot is €0.97 per dollar, Meridian lets the option expire and converts at spot:

Recommendation and outcome

The forward provides the highest certain receipt among the stated alternatives, whereas the option preserves upside. If Meridian’s priority is budget certainty and its forecast receivable is highly reliable, the forward is appropriate. If the receipt is uncertain or management wishes to retain upside, the option may be preferable despite its premium.

Learning points

• Hedge direction must match the underlying exposure.
• A dollar receivable for a euro-based firm is protected by selling dollars forward, a money-market receivable hedge, or buying a USD put/euro call.
• CIP makes forward and money-market hedges economically similar under ideal conditions.
• Option premiums must be included on a time-consistent basis.

11. Sovereign and Country Risk

Sovereign risk is the possibility that a government will fail to honor debt obligations or will alter payment terms. Country risk is broader and includes political instability, capital controls, expropriation, legal weakness, transfer restrictions and social conflict.

Analysts commonly assess:

• debt-to-GDP and interest-to-revenue ratios;
• foreign-currency and short-term debt;
• reserve adequacy;
• current-account sustainability;
• fiscal and monetary credibility;
• banking-system contingent liabilities;
• political institutions and legal enforceability.

A country may be solvent in aggregate but unable to obtain foreign currency when external liabilities mature. Currency depreciation can worsen debt sustainability when the government or domestic firms owe unhedged foreign-currency debt.

Credit ratings and sovereign spreads provide useful signals but are neither infallible nor sufficient. Scenario analysis should test depreciation, recession, interest-rate increases, reserve loss and restricted convertibility.

12. Governance, Regulation and Technology

A sound treasury policy specifies authorized instruments, exposure limits, hedge ratios, counterparty limits, documentation and reporting responsibilities. Hedge effectiveness should be monitored independently, and speculative positions should not be concealed as hedges.

FX markets are subject to anti-money-laundering rules, sanctions, market-conduct requirements, derivative reporting and collateral standards. Benchmark manipulation, misleading option sales and inadequate disclosure are important ethical concerns.

Electronic trading and algorithmic market making have lowered costs in liquid currencies. Artificial intelligence can assist cash-flow forecasting, anomaly detection and scenario generation, but model risk remains significant. Historical relationships can fail during crises, and automated hedging should remain subject to human oversight and pre-approved limits.

13. Practical Limitations and Best Practices

Parity conditions are benchmarks rather than perfect forecasting models. Taxes, controls, credit risk, collateral requirements, funding constraints and transaction costs may prevent arbitrage. Forecast cash flows may also differ from actual exposures.

Best practice includes:

1. Maintain a single documented quotation convention.
2. Aggregate exposures by currency, maturity and legal entity.
3. Distinguish accounting exposure from cash-flow risk.
4. Match hedge amount and maturity to the underlying exposure.
5. Evaluate premiums and financing costs on the same valuation date.
6. Conduct stress tests for exchange, interest-rate and liquidity shocks.
7. Diversify counterparties and monitor collateral requirements.
8. Document whether the objective is certainty, downside protection or value preservation.

Chapter Summary

Foreign exchange quotations must be interpreted using consistent currency units. Cross rates follow from unit cancellation, while triangular arbitrage keeps linked quotations aligned. Covered interest parity determines the no-arbitrage forward rate when interest rates and maturities are comparable.

Purchasing-power parity relates exchange rates to relative price levels, while uncovered interest parity connects expected depreciation with interest differentials and risk premia. Balance-of-payments analysis requires explicit sign conventions: under BPM6, CA+KA−FA+EO=0 when FA is net acquisition of assets minus net incurrence of liabilities.

Currency exposure may be transactional, translational or economic. A payable money-market hedge requires borrowing domestic currency, buying foreign currency and investing its present value. Importers can construct collars by buying an upper-strike foreign-currency call and selling a lower-strike foreign-currency put. Sovereign and country risk should be evaluated alongside currency, funding and convertibility risks.

Key Terms

Appreciation: An increase in a currency’s value relative to another currency.

Balance of payments: Statistical record of transactions between residents and non-residents.

Bid–ask spread: Difference between a dealer’s buying and selling prices.

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

Cross rate: Exchange rate calculated from two rates sharing a common currency.

Currency collar: Option strategy that places upper and lower bounds on an effective exchange rate.

Currency swap: Agreement to exchange currency principal and interest obligations.

Economic exposure: Effect of exchange rates on future operating cash flows and firm value.

Financial account: Balance-of-payments account recording transactions in financial assets and liabilities.

Forward contract: Agreement to exchange currencies later at a rate fixed today.

Money-market hedge: Hedge created through borrowing, spot conversion and investment.

Purchasing-power parity: Relationship between exchange rates and relative price levels.

Real exchange rate: Nominal exchange rate adjusted for relative prices.

Sovereign risk: Risk that a government will default or alter payment terms.

Spot rate: Exchange rate for near-immediate settlement.

Transaction exposure: Risk arising from contracted foreign-currency cash flows.

Translation exposure: Accounting effect of converting foreign financial statements.

Triangular arbitrage: Trading that exploits inconsistent exchange rates among three currencies.

Uncovered interest parity: Relationship between interest differentials, expected depreciation and risk premia.

Review Questions

Short Answer Questions

1. Explain the meaning of an EUR/USD quotation of 0.9300 under this chapter’s convention.
2. Distinguish transaction exposure from economic exposure.
3. Why may covered interest parity differ from observed market rates?
4. What is the difference between sovereign risk and broader country risk?
5. Why must the sign convention be identified when interpreting a financial-account balance?

Long Answer Questions

1. Explain how spot, forward, futures, options and swaps serve different FX-market needs.
2. Derive covered interest parity and state its assumptions and limitations.
3. Critically evaluate purchasing-power parity as a theory of exchange-rate determination.
4. Explain how current-account balances and capital flows can affect exchange rates and financial stability.
5. Develop a governance framework for managing a multinational firm’s currency exposure.

Analytical / Application Questions

1. Given GBP/USD = £0.79 per dollar and JPY/USD = ¥148 per dollar, calculate JPY/GBP and explain the unit conversion.
2. A firm must pay US$5 million in three months. Design forward, money-market and option hedges, stating the correct direction of every transaction.
3. Evaluate how a 20% currency depreciation could affect a sovereign with high foreign-currency debt, limited reserves and a current-account deficit.

Multiple Choice Questions with Answers

Question 1

Under the chapter’s quotation convention, what does S_EUR/USD=0.92 mean?

A. US$0.92 per euro

B. €0.92 per US dollar

C. €1.92 per US dollar

D. US$1.92 per euro

Correct Answer: B. €0.92 per US dollar

Question 2

If EUR/USD is 0.92 and JPY/USD is 150.00, what is JPY/EUR?

A. 138.00

B. 150.92

C. 163.04

D. 0.00613

Correct Answer: C. 163.04

Question 3

Spot INR/USD is ₹83.00, the one-year Indian rate is 6%, and the one-year US rate is 4%. Under covered interest parity, the one-year forward rate is closest to:

A. ₹81.43 per dollar

B. ₹83.00 per dollar

C. ₹84.60 per dollar

D. ₹87.98 per dollar

Correct Answer: C. ₹84.60 per dollar

Question 4

Under BPM6, suppose the financial account is net acquisition of assets minus net incurrence of liabilities and CA+KA−FA+EO=0. If CA is +20 and KA and EO are zero, FA equals:

A. −20

B. 0

C. +10

D. +20

Correct Answer: D. +20

Question 5

Which sequence correctly creates a money-market hedge for a foreign-currency payable?

A. Borrow foreign currency, sell it at spot, and invest domestic currency

B. Borrow domestic currency, buy foreign currency, and invest the foreign present value

C. Invest domestic currency and buy foreign currency only when the payable matures

D. Borrow foreign currency and invest it until maturity

Correct Answer: B. Borrow domestic currency, buy foreign currency, and invest the foreign present value

Question 6

An importer wants an exchange-rate collar with lower strike 1.20 and upper strike 1.26 domestic currency per foreign unit. Which option positions are correct?

A. Buy a foreign-currency call at 1.26 and sell a foreign-currency put at 1.20

B. Buy a foreign-currency call at 1.20 and sell a foreign-currency call at 1.26

C. Buy a foreign-currency put at 1.20 and sell a foreign-currency call at 1.26

D. Sell a foreign-currency call at 1.20 and buy a foreign-currency put at 1.26

Correct Answer: A. Buy a foreign-currency call at 1.26 and sell a foreign-currency put at 1.20

Question 7

A euro-functional firm will receive US dollars and wants option protection against dollar depreciation. Which position is appropriate?

A. Buy a USD call/euro put

B. Sell a USD put/euro call

C. Buy a USD put/euro call

D. Sell a USD call/euro put

Correct Answer: C. Buy a USD put/euro call

Question 8

For q=S_D/FP_F/P_D, what does an increase in q represent under the chapter’s convention?

A. A real appreciation of the domestic currency

B. A real depreciation of the domestic currency

C. No change in international competitiveness

D. A decline in the foreign price level in every case

Correct Answer: B. A real depreciation of the domestic currency

Question 9

Which condition most directly increases a sovereign’s vulnerability to currency depreciation?

A. High foreign-currency debt with limited reserves

B. Long-maturity debt denominated entirely in domestic currency

C. A large stock of liquid foreign reserves and low external debt

D. A balanced foreign-currency asset and liability position

Correct Answer: A. High foreign-currency debt with limited reserves

Question 10

Meridian will receive US$2,000,000 and sells the dollars forward at €0.9110 per dollar. What euro amount is locked in?

A. €1,800,000

B. €1,822,000

C. €1,840,000

D. €2,195,390

Correct Answer: B. €1,822,000