Approximation Formula for Foreign Investment Return in Home Currency

Foreign Investment Decision Analysis

A European investor, whose home currency is the Euro, purchases a one-year bond denominated in British Pounds (GBP) that offers a 4% annual interest rate. Over the course of the year, the British Pound depreciates by 3% relative to the Euro. Which of the following best approximates the investor's total rate of return when the proceeds are converted back into Euros?

A U.S. investor is choosing between a U.S. bond offering a 3% annual return and a Japanese bond offering a 5% annual return. To maximize their final return in U.S. dollars, the investor should always choose the Japanese bond because its interest rate is higher.

Evaluating Foreign Investment Returns

A Canadian investor, whose home currency is the Canadian Dollar (CAD), is considering two one-year investment options. Option A is a Canadian bond with a guaranteed 3% annual return. Option B is a Mexican bond, denominated in Mexican Pesos (MXN), offering a 7% annual interest rate. For the Canadian bond (Option A) to be the more profitable investment when returns are converted back to CAD, which of the following conditions regarding the MXN/CAD exchange rate must be true over the year?

Evaluating Risk in Foreign Bond Investments

An investor's final rate of return on a foreign asset, when measured in their home currency, is influenced by multiple factors. Match each factor or scenario below with its corresponding impact on the investor's final home-currency return.

An investor based in the United States is considering two one-year investments. The first is a U.S. government bond with a guaranteed 2% annual return. The second is a United Kingdom government bond, denominated in British pounds (£), offering a 5% annual interest rate. To determine which investment will ultimately provide a higher return when measured in U.S. dollars, which of the following factors is the most critical for the investor to forecast?

A financial advisor tells their client, who is based in Japan and uses the Yen (JPY) as their home currency: 'You should invest in these one-year Australian government bonds. They offer a 6% annual interest rate, while Japanese bonds only offer 1%. This is a clear-cut superior investment because the higher interest rate guarantees a better return for you.' Which of the following statements provides the most accurate critique of the advisor's reasoning?

An investor based in a country using the Euro (€) is comparing two one-year investments: a domestic bond yielding 2.5% and a UK bond yielding 6%. For the investor to be indifferent between the two options, the British Pound must be expected to depreciate against the Euro by approximately ______% over the year.