Foreign Exchange Markets - Macroeconomics

1. An emerging market economy maintains a crawling peg exchange rate system where the currency is devalued by 0.5% monthly against the U.S. dollar. If the current exchange rate is 20 domestic currency units per dollar and annual inflation in the emerging market is 15% while U.S. inflation is 3%, what is the likely outcome after one year?
   Answer: The real exchange rate will appreciate by approximately 6%, making exports less competitive despite the crawling peg When analyzing crawling peg exchange rate systems, you need to distinguish between nominal and real exchange rates. The nominal rate is what's officially set, while the real rate accounts for inflation differentials between countries and determines actual competitiveness. Let's calculate what happens over one year. The crawling peg devalues the currency by 0.5% monthly, which compounds to approximately 6% annually (0.5% × 12 ≈ 6%). So the nominal exchange rate moves from 20 to about 21.2 units per dollar. However, the real exchange rate depends on relative inflation. The emerging market has 15% inflation versus 3% in the U.S., creating a 12% inflation differential. This means domestic prices are rising much faster than the 6% nominal devaluation rate. The real exchange rate change equals the nominal change minus the inflation differential: 6% - 12% = -6%. This negative result indicates a real appreciation of 6%, making exports less competitive despite the nominal devaluation. Answer B captures this outcome correctly. Answer A incorrectly suggests real depreciation and improved competitiveness. Answer C wrongly assumes the crawling peg matches the inflation differential (6% ≠ 12%). Answer D dramatically overstates the real depreciation by confusing it with the inflation differential. Key takeaway: In crawling peg questions, always compare the devaluation rate to the inflation differential. If domestic inflation exceeds the devaluation rate, the real exchange rate appreciates, hurting export competitiveness regardless of the nominal policy.
2. Suppose the nominal exchange rate between the U.S. dollar and the British pound is $1.25 per pound. A specific basket of goods costs $200 in the U.S. and £150 in the United Kingdom. Based on this information, which of the following statements is correct?
   Answer: U.S. goods are relatively more expensive, and the real exchange rate from the U.S. perspective is less than one. First, find the dollar price of the British basket of goods: $£150 \times \$1.25/£ = \$187.50$. Comparing this to the U.S. price of $200, the British basket is cheaper. Therefore, U.S. goods are relatively more expensive. The real exchange rate (RER) from the U.S. perspective is calculated as $RER = \frac{E \times P_{foreign}}{P_{domestic}} = \frac{\$1.25/£ \times £150}{\$200} = \frac{\$187.50}{\$200} = 0.9375$. Since the real exchange rate is less than one, foreign goods are relatively cheaper than domestic goods.
3. A multinational corporation expects to receive €10 million in 90 days and is concerned about euro depreciation against the dollar. The current spot rate is $1.20/€, the 90-day forward rate is $1.18/€, and a 90-day euro put option with a strike price of $1.19/€ costs $0.02 per euro. Which hedging strategy provides the highest guaranteed minimum dollar receipt?
   Answer: Sell euros forward at $1.18/€, guaranteeing $11.8 million When facing currency risk, you need to compare hedging strategies by calculating the actual guaranteed dollar receipts after all costs. This question tests your ability to evaluate different risk management tools and identify which provides the best downside protection. Let's calculate the guaranteed minimum receipts for each viable strategy. With the forward contract (option D), you lock in the 90-day forward rate of $1.18/€, guaranteeing exactly $10 \text{ million} \times \$1.18/€ = \$11.8 \text{ million}$ with no additional costs. For the put option strategy (option B), you pay an upfront premium of $10 \text{ million} \times \$0.02/€ = \$200,000$. The put guarantees you can sell euros at $1.19/€, giving you $10 \text{ million} \times \$1.19/€ = \$11.9 \text{ million}$. However, subtracting the option cost yields $\$11.9 \text{ million} - \$0.2 \text{ million} = \$11.7 \text{ million}$ net. Option A mentions a collar strategy but doesn't provide the necessary call option details to calculate the actual outcome, making it incomplete. Option C recommends staying unhedged, which provides no guaranteed minimum protection against the corporation's stated concern about euro depreciation. Comparing the calculable strategies: the forward contract guarantees $11.8 million versus $11.7 million from the put option strategy. The forward provides $100,000 more in guaranteed minimum receipts. Study tip: When comparing hedging strategies, always calculate the net guaranteed amount after all costs. Forward contracts typically provide the highest guaranteed amounts because they have no upfront premiums, while options offer flexibility at the cost of premium payments.
4. Suppose the real GDP of the United Kingdom grows much faster than the real GDP of its major trading partners. Assuming all else remains constant, what is the most likely impact on the British pound (GBP) in the foreign exchange market?
   Answer: The pound will depreciate because import spending in the U.K. will grow faster than its exports. While faster GDP growth can attract investment (the capital account effect), the most direct and certain impact is on the current account. As incomes rise in the U.K., its citizens and firms will increase their spending on all goods, including imports. This growth in import demand will outpace the growth of demand for U.K. exports in the slower-growing foreign countries. To buy more imports, Britons will supply more pounds to the foreign exchange market, causing the pound to depreciate. This trade effect is often considered the primary short-run impact of differential income growth.
5. According to purchasing power parity theory, if Country X has an inflation rate of 8% while Country Y has an inflation rate of 3%, and the current exchange rate is 2 units of X's currency per 1 unit of Y's currency, what should the exchange rate be after one year?
   Answer: Approximately 2.10 units of X's currency per 1 unit of Y's currency According to PPP, the currency of the country with higher inflation should depreciate relative to the country with lower inflation by approximately the inflation differential. Country X has 5 percentage points higher inflation (8% - 3% = 5%), so X's currency should depreciate by about 5%. Starting at 2.00, the new rate should be 2.00 × (1.05) = 2.10. Choice B shows appreciation instead of depreciation. Choice C uses an incorrect calculation method. Choice D shows excessive depreciation.
6. The law of one price states that identical goods should sell for the same price in different markets when expressed in a common currency. Which of the following is the most significant reason why purchasing power parity (PPP), the macroeconomic extension of this law, often fails to hold true in the short to medium term?
   Answer: Many goods and services, such as haircuts and housing, are not easily traded internationally. When you encounter questions about purchasing power parity (PPP), think about what prevents the law of one price from working perfectly across countries. PPP suggests that exchange rates should adjust so that identical goods cost the same everywhere, but this theoretical relationship often breaks down in practice. The key insight is that PPP relies on arbitrage—the ability to buy goods cheaply in one country and sell them expensively in another. However, many goods and services simply cannot be traded internationally, which eliminates the arbitrage mechanism that would equalize prices. A haircut in Mumbai cannot be sold in Manhattan, and you cannot ship an apartment from Mexico City to Montreal. These "non-tradable" goods represent a huge portion of most economies—think healthcare, education, retail services, utilities, and housing. Since their prices are determined purely by local supply and demand conditions, they can vary dramatically between countries without any corrective pressure from international trade. Looking at the wrong answers: Choice A is backwards—countries often have quite different inflation rates, which is precisely why exchange rates need to adjust. Choice B overstates government manipulation; most major currencies float relatively freely in modern markets. Choice C describes a real phenomenon, but capital flows typically affect short-term exchange rate volatility rather than systematically preventing PPP from holding. Study tip: Remember the "tradable vs. non-tradable" distinction when analyzing international economics questions. PPP works best for standardized, easily shipped goods (like commodities) but fails for services and location-specific goods that dominate modern economies.
7. A country's central bank implements an expansionary monetary policy that reduces domestic interest rates from 5% to 3%, while foreign interest rates remain at 4%. Assuming perfect capital mobility and initially balanced capital flows, what is the most likely sequence of effects on the foreign exchange market?
   Answer: Capital outflows increase, domestic currency depreciates, then net exports rise as the currency becomes more competitive internationally With domestic interest rates (3%) now below foreign rates (4%), investors will move capital abroad seeking higher returns, causing capital outflows. This increases demand for foreign currency and supply of domestic currency, leading to domestic currency depreciation. The weaker currency then makes exports more competitive and imports more expensive, improving net exports. Choice B incorrectly suggests capital inflows when rates are relatively lower. Choice C incorrectly states capital outflows would decrease and currency would appreciate. Choice D incorrectly suggests import demand falls due to currency effects rather than the primary capital flow mechanism.
8. An investor has $1,000,000 to invest for one year. The annual interest rate in the United States is 5%, while in the Eurozone it is 3%. The current spot exchange rate is $1.20 per euro, and the one-year forward exchange rate is $1.23 per euro. Assuming no transaction costs and that the investor seeks to exploit a covered interest arbitrage opportunity, what is the approximate profit from the optimal strategy?
   Answer: A profit of $5,950 by borrowing in the U.S. and investing in the Eurozone. To determine the arbitrage opportunity, we compare the returns from two strategies. Strategy 1: Invest in the U.S. The return is $\$1,000,000 \times 1.05 = \$1,050,000$. Strategy 2: Invest in the Eurozone, using a forward contract to hedge against exchange rate risk. First, convert dollars to euros: $\$1,000,000 / \$1.20/€ = €833,333.33$. Next, invest these euros at 3%: $€833,333.33 \times 1.03 = €858,333.33$. Finally, convert the euros back to dollars using the forward rate: $€858,333.33 \times \$1.23/€ = \$1,055,950$. The arbitrage profit is the difference: $\$1,055,950 - \$1,050,000 = \$5,950$.
9. Consider the exchange rate between the Canadian dollar (CAD) and the U.S. dollar (USD). If the Bank of Canada pursues an expansionary monetary policy while the U.S. Federal Reserve simultaneously pursues a contractionary monetary policy, what will be the net effect on the value of the Canadian dollar and Canadian net exports?
   Answer: The CAD will depreciate, and Canadian net exports will increase. Expansionary monetary policy in Canada will lower Canadian interest rates, while contractionary policy in the U.S. will raise U.S. interest rates. This widening interest rate differential will cause capital to flow from Canada to the U.S., increasing the supply of CAD and demand for USD. Both factors will cause the CAD to depreciate significantly. A weaker CAD makes Canadian goods cheaper for foreigners and foreign goods more expensive for Canadians, which leads to an increase in Canadian net exports.
10. Over a five-year period, the nominal exchange rate between the currency of Country A and Country B remained constant. However, the cumulative inflation over this period was 25% in Country A and 5% in Country B. Which of the following is the most likely consequence?
    Answer: Country A's currency experienced a real appreciation, making its exports less competitive. When you encounter questions about exchange rates and inflation, focus on distinguishing between nominal and real exchange rates. The nominal rate is what you see quoted, while the real rate adjusts for inflation differences between countries. Here's the key calculation: Real exchange rate = Nominal exchange rate × (Foreign price level / Domestic price level). Since Country A experienced much higher inflation (25%) than Country B (5%) while the nominal rate stayed constant, Country A's goods became relatively more expensive. This represents a real appreciation of Country A's currency, making its exports less competitive internationally. Let's examine why the other answers miss the mark. Choice A incorrectly assumes the real exchange rate remained stable when inflation differentials clearly changed relative prices. Choice B misunderstands purchasing power parity (PPP) – if PPP held, the nominal exchange rate should have adjusted to offset the inflation differential, but it didn't. Choice C gets the direction wrong; higher relative inflation causes real appreciation, not depreciation, when the nominal rate is fixed. The correct answer is D because Country A's currency experienced real appreciation due to its higher inflation rate, making its goods more expensive relative to Country B's goods and reducing export competitiveness. Study tip: Remember this pattern: when nominal exchange rates are fixed but inflation differs between countries, the higher-inflation country always experiences real appreciation. This makes their exports less competitive – a crucial relationship for understanding international trade dynamics.
11. Under a fixed exchange rate regime, a country's central bank intervenes to maintain the currency peg when facing speculative attacks. If foreign exchange reserves decline from $50 billion to $30 billion while the monetary base shrinks from $100 billion to $80 billion, what can be concluded?
    Answer: The central bank sold $20 billion in foreign reserves and the domestic money supply contracted by exactly $20 billion through unsterilized intervention The central bank sold $20 billion in reserves ($50B - $30B) to defend the peg, and the monetary base fell by exactly $20 billion ($100B - $80B). This 1:1 relationship indicates unsterilized intervention, where foreign exchange operations directly affect the monetary base without offsetting domestic asset purchases. Choice B incorrectly suggests sterilization occurred when the monetary base clearly contracted. Choice C incorrectly states reserves were bought. Choice D describes sterilized intervention, which would prevent monetary base changes.
12. Given the quotes in the passage, which of the following statements correctly identifies the arbitrage opportunity?
    Answer: An arbitrageur can profit by buying euros with dollars, then selling euros for pounds, and finally selling pounds for dollars. First, calculate the implied cross rate for USD/GBP from the first two quotes. The rate should be (USD/EUR) $\times$ (EUR/GBP). Assuming the quotes mean $1.10/€ and €0.85/£, the implied rate is $1.10 \times 0.85 = 0.935$ USD/GBP. The market is quoting a direct rate of 0.95 USD/GBP. Since the actual market price for pounds ($0.95) is higher than the implied price ($0.935), an arbitrageur should 'create' pounds via the cross-rate market and sell them in the direct market. The profitable path is: use USD to buy EUR, use the EUR to buy GBP (at the implied cheaper rate), and then sell the GBP for USD (at the actual higher rate).
13. The central bank of Switzerland is committed to maintaining a fixed exchange rate ceiling, preventing the Swiss franc (CHF) from appreciating above a certain level against the euro. If a surge in global risk aversion causes a massive capital inflow into Switzerland, what action must the Swiss central bank take to defend the ceiling?
    Answer: Sell Swiss francs and buy foreign assets (e.g., euros), thereby increasing its foreign reserves. A massive capital inflow increases the demand for the Swiss franc, putting upward (appreciation) pressure on its value. To prevent the franc from rising above the ceiling, the central bank must intervene in the foreign exchange market to increase the supply of francs. It does this by creating new francs and using them to buy foreign currency (euros). This action, selling CHF and buying foreign assets, increases the central bank's stock of foreign reserves and counteracts the upward pressure on the exchange rate.
14. A country has been running a large and persistent current account deficit. According to the balance of payments identity, which of the following must be true, and what does it imply about the country's currency?
    Answer: The country must have a financial account surplus, implying a net demand for its currency from asset sales, which supports its value. The balance of payments must sum to zero (or close to it). A current account (CA) deficit means a country is spending more abroad than it earns. This must be financed by a surplus in the financial account (FA), which represents net borrowing from or selling assets to foreigners (CA + FA ≈ 0). A financial account surplus means there is a net inflow of capital. This net inflow creates demand for the domestic currency (as foreigners need it to buy domestic assets), which, all else equal, helps to support or increase the value of the currency, preventing the depreciation that might otherwise result from the trade imbalance.
15. Following a sharp and sustained depreciation of its currency, a country's trade balance initially worsens before eventually improving. This phenomenon is known as the:
    Answer: J-curve effect, which describes the time path of the trade balance's response. The J-curve effect describes the phenomenon where a currency depreciation initially worsens the trade balance before improving it. This happens because in the short run, import and export volumes are relatively inelastic (contracts are fixed, consumers are slow to change habits). Thus, the immediate effect is that the country pays more for its imports while export revenues change little, worsening the trade balance. Over time, as quantities adjust to the new relative prices (exports rise, imports fall), the trade balance improves, tracing a shape like the letter J.
16. The consumer price index in Country X is 120 and in Country Y is 100. The nominal exchange rate is 3.00 units of Country Y's currency per unit of Country X's currency. Over the next year, inflation is projected to be 10% in Country X and 2% in Country Y. According to the theory of relative purchasing power parity, what is the expected nominal exchange rate one year from now?
    Answer: 2.78 units of Y per unit of X Relative purchasing power parity (PPP) suggests that the exchange rate will adjust to offset the difference in inflation rates between two countries. The precise formula is $E_{t+1} = E_t \times \frac{1 + \pi_Y}{1 + \pi_X}$, where $E$ is the exchange rate (Y/X) and $\pi$ is the inflation rate. Plugging in the values: $E_{t+1} = 3.00 \times \frac{1 + 0.02}{1 + 0.10} = 3.00 \times \frac{1.02}{1.10} \approx 2.78$. Since Country X has higher inflation, its currency is expected to depreciate relative to Country Y's currency.
17. A credible announcement is made that a massive, easily accessible oil reserve has been discovered in Norway. This discovery is expected to significantly boost Norway's future export revenues. In a flexible exchange rate system, what is the most likely immediate impact on the Norwegian krone (NOK)?
    Answer: The NOK appreciates immediately as speculators buy NOK in anticipation of its future strengthening. Foreign exchange markets are forward-looking. A credible announcement about future economic strength (like a major oil discovery boosting future exports) will lead to expectations of a stronger currency in the future. Speculators will act on this information immediately, buying the Norwegian krone now to profit from its expected future appreciation. This immediate increase in demand for the NOK causes it to appreciate long before the oil revenues are actually realized.
18. The central bank of Mexico unexpectedly implements a significant contractionary monetary policy to combat high inflation. Assuming capital is mobile and other countries' monetary policies are unchanged, which sequence of events is most likely to follow?
    Answer: Higher Mexican interest rates cause a capital inflow, increasing the demand for the peso and leading to its appreciation. Contractionary monetary policy leads to higher domestic interest rates. These higher rates make Mexican financial assets more attractive to foreign investors. The resulting increase in demand for these assets leads to a capital inflow into Mexico. To purchase these assets, foreign investors must first buy Mexican pesos, which increases the demand for the peso in the foreign exchange market, causing the peso to appreciate.
19. The government of a country with a flexible exchange rate and high capital mobility funds a major expansion of public services through increased borrowing, leading to a larger budget deficit. If the central bank does not change its policy, which of the following outcomes is most likely?
    Answer: Domestic real interest rates rise, leading to capital inflow and an appreciation of the domestic currency. Increased government borrowing raises the demand for loanable funds, which puts upward pressure on domestic real interest rates. Higher real interest rates attract foreign financial capital. The inflow of capital increases the demand for the domestic currency in the foreign exchange market, causing it to appreciate. This appreciation, in turn, tends to crowd out net exports by making exports more expensive and imports cheaper.
20. Consider two countries with identical economic fundamentals except for their current account balances: Country A has a current account surplus of 3% of GDP, while Country B has a current account deficit of 3% of GDP. According to international macroeconomic theory, how should this difference most likely affect their currencies in the long run?
    Answer: Country A's currency should appreciate because sustained current account surpluses reduce external debt and improve long-term creditworthiness Current account surpluses mean the country is a net lender to the world, building foreign assets and reducing external debt, which improves long-term creditworthiness and supports currency strength. Choice A overstates by saying surpluses 'always' indicate strength. Choice B confuses short-term capital flows with long-term sustainability - deficits requiring financing create vulnerability. Choice D incorrectly assumes automatic convergence to equal values rather than relative strength differences.

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