Exam 3: Foreign Exchange Determination and Forecasting  

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Project using the Web site database: One would expect that PPP would be better verified for countries with high inflation. Look at the validity of PPP for Latin American countries relative to the United States. \bullet Take the end-of-quarter consumer price index data for a sample of high-inflation emerging countries and the United States for a period of ten years or more. For each country, divide its price index by that of the United States to obtain its relative price index. \bullet Take end-of-quarter exchange rates against the U.S. dollar. \bullet For each country, perform various statistical tests to compare the two series. For example, you can first plot them, using a common base. You can also calculate their quarterly percent variation and compare the means of the two series (average inflation differential and average depreciation of the currency). You could do a regression of the quarterly exchange rate variations on the quarterly inflation differential and look at the regression coefficients, as well as at the R-square. \bullet Do a similar calculation for some developed countries (e.g., Japan, Germany, and the United Kingdom) relative to the United States. Are the conclusions similar?

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To verify the validity of Purchasing Power Parity (PPP) for Latin American countries relative to the United States, we can conduct a project using the website database.

First, we would gather end-of-quarter consumer price index data for a sample of high-inflation emerging countries in Latin America and the United States for a period of ten years or more. We would then divide each country's price index by that of the United States to obtain its relative price index.

Next, we would collect end-of-quarter exchange rates against the U.S. dollar for each country. We would then perform various statistical tests to compare the two series. This could include plotting the series using a common base, calculating their quarterly percent variation, and comparing the means of the two series (average inflation differential and average depreciation of the currency). Additionally, we could conduct a regression of the quarterly exchange rate variations on the quarterly inflation differential and analyze the regression coefficients, as well as the R-square.

Furthermore, we would also conduct a similar calculation for some developed countries (e.g., Japan, Germany, and the United Kingdom) relative to the United States to see if the conclusions are similar.

By conducting these analyses and comparisons, we can determine the validity of PPP for Latin American countries relative to the United States and assess whether it is better verified for countries with high inflation.

You believe that the U.S. dollar will strongly appreciate against the euro in the next few weeks. What action can you take?

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If you believe that the U.S. dollar will appreciate against the euro over its current forward exchange rate, you can take the following action:
\bullet Today: Borrow euros.
Sell my euros and buy U.S. dollars at the current spot rate.
Lend those U.S. dollars.
\bullet In a few weeks: Sell those U.S. dollars and buy euros at the new spot rate.
If your assumption turns out to be correct, I will make a profit, unless the interest rate differential already reflects the expectation that the dollar will strongly appreciate.
An equivalent action to be taken today is to enter a forward exchange contract to sell euros and buy U.S. dollars at the current forward exchange rate, with delivery taking place in a few weeks. At maturity, you will make a profit if the spot €/$ has strongly risen.
Other derivative contracts, such as currency options or swaps, can also be used (see Chapters 10 and 11).

Assume that foreign exchange rates are totally unpredictable, as some theories and empirical studies claim, so that the best prediction of the future spot rate is the current spot rate. a. Back in 1982, would you have suggested investing in U.S. dollar bills or in German bills? b. What about in 1992? c. What about in 1997? (Look at Exhibit 3.1 of the fifth edition, knowing that inflation rates were similar in the two countries.)

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The best prediction of the future spot rate being the current spot rate, our forecast is that spot rates will remain unchanged over time. The exchange rate itself will therefore remain unchanged, and we will invest in the currency bearing the higher nominal interest rate. Since inflation rates are similar in the two countries, this comes down to choosing the country with the higher real interest rate:
a. United States in 1982.
b. Germany in 1992.
c. United States in 1997.

An asset manager has conducted an extensive econometric study and proposes a forecasting model. He has found that a currency with a high interest rate tends to appreciate relative to a currency with a low interest rate. The simple forecasting model for the one-year exchange rate is that a currency should appreciate over the year by the amount of the interest rate differential quoted today. For example, if the Australian dollar exchange rate is AUD/$ = 2 and the one-year interest rates in AUD and $ are 4% and 7%, respectively, the U.S dollar should move up by 3% relative to the Australian dollar, and your forecast for the exchange rate at the end of the year is AUD/$ = 2.06. a. What is the current forward exchange rate? b. What type of forward transaction would you conduct to capitalize on your forecast? c. If everyone were using your model and following your strategy, what would happen to the exchange and interest rates?

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The euro was introduced in 1999 as the common currency of eleven European countries (Euroland). What should happen to the inflation rates of France, Germany, and Italy after the introduction of the common currency?

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In the 1970s, France had a dual exchange rate system in place for its residents. All business trade transactions took place at the official, or "commercial," exchange rate (say, 5 francs per U.S. dollar). All foreign investments by French industrial corporations were subject to prior government authorization. The regulation was even stricter for French financial institutions or private residents. They were not allowed to transfer currency abroad. French tourists could not take abroad more than FF 5,000 (or its equivalent in foreign currency) per year. French residents could buy foreign securities, but had to use a special "financial" rate to purchase these foreign currencies. Basically, the supply of foreign currency assigned to "financial" francs was fixed. To buy foreign securities, residents had to use the proceeds of the sales of foreign securities by other French residents. This led to a separate market for the "financial" franc with a different exchange rate. Foreign income and dividends paid were repatriated at the "commercial" franc rate and did not increase the supply of "financial" currency available. By contrast, foreigners were free to buy and sell French securities at the "commercial" rate, but they were not allowed to borrow francs. a. Explain why this type of control imposed on French residents helps defend the French franc, which was periodically under devaluation pressure. b. Would you expect the financial exchange rate to be higher or lower than the commercial rate?

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Foreign companies are complaining that they are prevented from exporting to Japan by all kinds of official or unwritten impediments. Try to list some of these impediments. What are the implications in terms of using PPP to forecast the yen exchange rate?

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In 1995, the Thai baht is pegged to a basket of currencies. Assume that the baht exchange rate is set at 25 baht per U.S. dollar. Thailand is experiencing rapid economic growth, with extensive ongoing foreign investment. Consumer price index (CPI) inflation in Thailand is somewhat higher than in the United States, and the current account in Thailand is in deficit. Nevertheless, Thailand has no problem maintaining its fixed exchange rate with the dollar. a. Explain why the Thai baht does not depreciate as suggested by purchasing power parity (PPP). b. Two years later, prospects for economic growth are much lower and investors are worried about the political and financial uncertainties in Thailand. Explain why the Thai baht depreciates strongly against the U.S. dollar.

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The current Swiss franc/euro rate is 1.5 francs per euro. Inflation rates are approximately 1% in Switzerland and between 1.8% and 2.2% in the various countries of the euro zone. One-year interest rates are 2% in Swiss francs and 3% in euros. What would be a natural forecast for the Swiss franc/euro exchange rate next year?

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The domestic economy seems to be overheating, with rapid economic growth and low unemployment. News has just been released that the monthly activity level is even higher than expected (as measured by new orders to factories and unemployment figures). This news leads to renewed fears of inflationary pressures and likely action by the monetary authorities to raise interest rates to slow the economy down. Why is this news good or bad for the exchange rate?

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In late 1994, it was announced that Japan's monthly current account was shrinking and that this effect could be permanent. Is this news good or bad for the Japanese yen? Why?

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Paf is a country with a fixed exchange rate with the U.S. dollar, set at 0.9 pifs per dollar. The Paf government intends to defend this central parity but has no exchange controls; it can only use an interest rate policy to defend its national currency, the pif. The pif comes under severe speculative devaluation pressures because of a drop in the official reserves of Paf. The current (annualized) one-month interest rates are 18% for the pif and 6% for the dollar. a. What type of borrowing/lending action could you take to try to take advantage of a devaluation of the pif? b. How much would you stand to lose if Paf is successful in defending its currency? c. How much would you stand to gain if the pif is devalued to 1 pif per dollar within the next month?

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Project using the Web site database: Take a time series of monthly exchange rates of a major currency relative to the U.S. dollar. Try to derive a technical analysis that would yield a profitable trading strategy over the period studied. For example, you could simulate various moving average strategies discussed in the text or simulate various filter strategies. Apply the strategy that seems most profitable for the previous exchange rate to other currencies. Perform the same exercise for nondollar exchange rates (for example, for the CHF/£ rate). What do you conclude?

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In the early 1990s, France and Germany had similar current and forecasted inflation rates. However, political/economic uncertainties were higher in France, where several political changes in the 1980s had led to several devaluations of the French franc. Do you expect to observe equal interest rates in the two countries? Why or why not?

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