In-Depth Notes on Exchange Rates and the Foreign Exchange Market

Introduction to Exchange Rates and the Foreign Exchange Market

  • Exchange rates play a crucial role in:
    • International trade by influencing the prices of goods across different currencies.
    • Investment in assets like stocks and bonds, affecting their prices in global markets.
  • The foreign exchange market (Forex) sees trillions of dollars traded daily, with significant economic implications from shifts in rates.

Exchange Rate Basics

  • Exchange Rate (E): The price of a foreign currency expressed in terms of a home currency.
  • Exchange rates can be quoted in two ways:
    • Home Currency per Foreign Currency: e.g., U.S. dollars per yen (E$/¥).
    • Foreign Currency per Home Currency: e.g., yen per U.S. dollar (E¥/$).

Exchange Rate Quotations

  • Example:
    • U.S. dollar to Japanese yen: E$/¥
    • Danish krone to Euro: Ekr/€
  • Commonly referenced exchange rates as of November 15, 2019:
    • Canada (C$): 1.3230 per $
    • Eurozone (€): 0.9054 per $
    • Japan (¥): 108.81 per $

Appreciations and Depreciations

  • Appreciation: When a currency increases in value against another currency (more foreign currency for the same amount of home currency).
  • Depreciation: When a currency decreases in value against another currency (less foreign currency for the same amount of home currency).
  • Example Calculation:
    • If E$/€ rises from $1.1325 to $1.1045, the dollar has depreciated:
    • Change = ΔE$/€ = 1.1045 - 1.1325 = -$0.0280
    • Percentage Change = ΔE/€/E/€ / E/€,t = -0.0280 / 1.1325 = -2.47%.

Multilateral Exchange Rates

  • Effective exchange rates are calculated using trade weights:
    • Example calculation:
    • Home currency appreciates 10% against Country 1 and depreciates 30% against Country 2:


      • (10 ext{%} imes 40 ext{%}) + (-30 ext{%} imes 60 ext{%}) = -14 ext{%}
  • This means Home’s effective exchange rate has depreciated by 14%.

Exchange Rate Regimes: Fixed vs Floating

  • Fixed Exchange Rate: Exchange rate remains within a narrow range due to government intervention.
  • Floating Exchange Rate: Exchange rate fluctuates freely based on market forces; may appreciate or depreciate frequently.
  • Examples of different regimes:
    • Fixed: Danish krone with tiny variations.
    • Floating/Managed: Pound and yen float against the euro.

The Foreign Exchange Market

  • Trade is conducted over-the-counter, not on organized exchanges.
  • As of April 2019, the global forex market traded $6.6 trillion per day.
  • Major Forex centers include London, New York, Singapore, and Hong Kong.

Types of Forex Contracts

  • Spot Contract: Immediate exchange of currencies at the current exchange rate (over 80% of forex transactions).
  • Forward Contract: Agreement today for future delivery of currencies at a predetermined rate.
  • Swap Contract: Combination of spot sales and forward repurchases of the same currency.
  • Options: Right but not obligation to exchange currencies at a specified rate in the future.

Risks and Strategies in Forex Trading

  • Hedging: Protecting against potential losses by locking in rates (e.g., using call options).
  • Speculation: Betting on future currency movements for profit (e.g., buying futures if expecting a currency to strengthen).

Role of Private Actors and Governments

  • Commercial banks handle the majority of forex transactions, with a few banks dominating the market.
  • Governments may implement capital controls to regulate forex movements and exchange rate stability.

Arbitrage in Forex

  • Arbitrage: Taking advantage of price differences across markets; involves direct and triangular trading.
  • Interest Rate Parity: The relationship between interest rates and currency exchange rates, leading to two conditions:
    • Covered Interest Parity (CIP): No risk involved due to forward contracts.
    • Uncovered Interest Parity (UIP): Involves risk with forecasts on future rates affecting investment returns.

Key Takeaways on Exchange Rate Determination

  • Understanding spot and forward rates is key:
    • UIP explains the relationship for spot rates.
    • CIP explains how forward rates are determined based on existing spot rates and interest rates for two currencies.