The U.K. pound is trading at 1.50 U.S. dollars per U.K....

The U.K. pound is trading at 1.50 U.S. dollars per U.K. pound and purchasing power parity holds. The U.S. interest rate is 1 percent a year and the U.K. interest rate is 3 percent a year. a. Calculate the U.S. interest rate differential. b. What is the U.K. pound expected to be worth in terms of U.S. dollars one year from now? c. Which country more likely has the lower inflation rate? How can you tell?

The U.K. pound is trading at 1.50 U.S. dollars per U.K. pound and purchasing power parity holds. The U.S. interest rate is 1 percent a year and the U.K. interest rate is 3 percent a year.
a. Calculate the U.S. interest rate differential.
b. What is the U.K. pound expected to be worth in terms of U.S. dollars one year from now?
c. Which country more likely has the lower inflation rate? How can you tell?

Key Concepts

Inflation and Interest Rate Relationship

The relationship between inflation and interest rates is rooted in the Fisher effect, which suggests that the nominal interest rate is composed of the real interest rate plus expected inflation. In an environment where one country has a higher interest rate relative to another, market participants may infer higher expected inflation in that country relative to the other nation.

Exchange Rate Expectations

Exchange rate expectations are forecasts of future exchange rates based on current economic conditions, such as differences in interest rates and inflation. These expectations often rely on models like the uncovered interest parity, where differences in interest rates are believed to be offset by expected changes in the exchange rate.

Interest Rate Differential

The interest rate differential refers to the difference between the interest rates of two different countries. It is a key concept in international finance because it often influences capital flows between countries, and can also signal potential movements in exchange rates as markets adjust to yield differentials.

Purchasing Power Parity

Purchasing power parity is an economic theory that suggests that in the long run, exchange rates between currencies should adjust so that a basket of goods costs the same in each country. This concept helps understand how differences in national price levels are offset by changes in the nominal exchange rate, ensuring that real purchasing power is equivalent across countries.

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