Exchange Rates and the Foreign Exchange Market

Definitions and Quotations of Exchange Rates

Exchange rates are fundamental to international economics, allowing the comparison of prices and costs across countries. They are quoted as either foreign currency per unit of domestic currency or domestic currency per unit of foreign currency.

• Exchange Rate: The price at which one currency can be exchanged for another.

• Quotation Methods: For example, USD/JPY means how many yen can be exchanged for one dollar.

• Purpose: Exchange rates enable the denomination of goods and services in a common currency, facilitating international trade and investment.

• Interpretation: If the local currency per USD rises, the local currency depreciates against the USD; if it falls, it appreciates.

Exchange Rate Tables and Currency Codes

Exchange rate tables report mid-market rates for multiple base currencies, showing units of the listed country’s currency per one unit of the base currency. The closing mid is the midpoint between bid and ask prices at market close.

• Day’s Change: Indicates the one-day change in the quote.

• Standard Currency Codes: Three-letter codes (e.g., USD, EUR, JPY) are used for clarity in financial markets.

FX Market Turnover and Currency Pairs

The foreign exchange (FX) market is the largest financial market globally, with daily turnover exceeding US$9.6 trillion. The most traded currency pairs include USD/EUR, JPY/USD, and USD/GBP.

• FX Swaps: Account for the largest share of trading.

• USD: The dominant vehicle currency, present in most trades.

Depreciation and Appreciation of Currencies

Currency values fluctuate, affecting international purchasing power and trade competitiveness.

• Depreciation: A decrease in the value of a currency relative to another. Imports become more expensive, exports less expensive.

• Appreciation: An increase in the value of a currency relative to another. Imports become less expensive, exports more expensive.

• Example: If $1/€ rises to $1.20/€, the dollar has depreciated against the euro.

Real Exchange Rate

The real exchange rate adjusts the nominal exchange rate for differences in price levels between countries, providing a measure of relative purchasing power.

• Formula:

• Application: Used to compare the cost of foreign goods in domestic terms.

Foreign Exchange Markets: Structure and Participants

The FX market is composed of various participants, each with distinct roles and motivations.

• Commercial Banks: Trade currency deposits for investment and payment purposes.

• Non-bank Financial Institutions: Mutual funds, hedge funds, insurance companies, and pension funds invest in foreign assets.

• Non-financial Businesses: Conduct currency transactions for trade.

• Central Banks: Manage official reserves and intervene in markets.

• Leveraged Accounts: Hedge funds and proprietary trading desks engage in active trading.

• Retail Accounts: Individuals exchanging currency for travel or small transactions.

• Governments and Sovereign Wealth Funds: Manage FX for public purposes and investment.

Spot Rates and Forward Rates

Spot rates are current exchange rates for immediate transactions, while forward rates are agreed upon today for exchanges at a future date.

• Forward Points: Used to calculate forward rates from spot rates.

• Formula:

Other Methods of Currency Exchange

Besides spot and forward transactions, swaps, futures, and options contracts are used to manage currency risk and facilitate international finance.

• Swaps: Combine spot sale with forward repurchase.

• Futures: Standardized contracts for currency delivery at a set date.

• Options: Provide the right, but not the obligation, to buy or sell currency.

The Demand for Currency Deposits

Factors Influencing Demand

The demand for currency deposits is determined by the expected rate of return, risk, and liquidity. In FX markets, risk and liquidity are often assumed equal across currencies, making rate of return the primary concern.

• Rate of Return: Percentage change in value over time.

• Real Rate of Return: Adjusted for inflation.

• Interest Rate: The main determinant of return for currency deposits.

• Expected Appreciation/Depreciation: Investors consider both interest rates and expected changes in exchange rates.

Comparing Returns on Domestic and Foreign Deposits

To compare returns, investors calculate the expected dollar return from investing in euro deposits, considering both the euro interest rate and the expected change in the dollar/euro exchange rate.

• Formula: /\euro} - E_{\/\euro}}$

• Interest Parity: In equilibrium, deposits in all currencies offer the same expected rate of return.

Table: Dollar/Euro Exchange Rate and Expected Returns

This table compares the expected dollar return on euro deposits for different exchange rates, holding the euro interest rate constant.

Model of Foreign Exchange Markets

Interest Parity and Equilibrium

The foreign exchange market is in equilibrium when deposits of all currencies offer the same expected rate of return. This is known as interest parity.

• Interest Parity Condition: } = R_{\text{euro}} + \frac{E^e_{\/\euro}}{E_{\

• Implication: Arbitrage is not possible when interest parity holds.

Effects of Changing Interest Rates

Changes in interest rates affect currency values. An increase in the interest rate paid on deposits denominated in a currency leads to an appreciation of that currency.

• Higher Dollar Interest Rates: Cause the dollar to appreciate.

• Higher Euro Interest Rates: Cause the dollar to depreciate.

Expectations and Currency Movements

Expectations about future currency movements can lead to self-fulfilling prophecies. If investors expect a currency to appreciate, its expected rate of return increases, leading to actual appreciation.

Carry Trades and FX Risk

Carry trades involve borrowing in a low-interest-rate currency and investing in a high-interest-rate currency. These trades are profitable when interest differentials persist but are exposed to crash risk during market reversals.

Covered Interest Parity and Forward Rates

Covered Interest Parity

Covered interest parity relates interest rates across countries and the rate of change between forward and spot exchange rates. It ensures that risk-free returns are equalized across currencies when using forward contracts.

• Formula: } = R_{\text{euro}} + \frac{F_{\/\euro}}{E_{\

• Forward Rate Calculation:

• Forward Premium/Discount: The currency with the higher interest rate trades at a discount in the forward market.

Forward Rate Example

Given a spot rate and interest rates, the forward rate can be calculated for a specific maturity. For example, with a spot rate of 1.6555, a 30-day domestic rate of 2%, and a foreign rate of 3%, the 30-day forward rate is:

• Formula:

• Calculation:

Additional info: The notes above expand on the original content by providing definitions, formulas, and context for each topic, ensuring completeness and academic quality for macroeconomics students.