# International Economics: Theory and Policy, v. 1.0

by Steve Suranovic

## 16.6 Exchange Rate Effects of Changes in Foreign Interest Rates Using the RoR Diagram

### Learning Objective

1. Learn the effects of changes in the foreign interest rate on the value of the domestic and foreign currency using the interest rate parity model.

Suppose that the foreign exchange market (Forex) is initially in equilibrium such that RoR£ = RoR$(i.e., interest rate parity holds) at an initial equilibrium exchange rate given by E$/£. The initial equilibrium is depicted in Figure 16.8 "Effects of a British Interest Rate Increase in a RoR Diagram". Next, suppose British interest rates rise, ceteris paribus. Ceteris paribus means we assume all other exogenous variables remain fixed at their original values. In this model, the U.S. interest rate (i$) and the expected exchange rate (E$/£e) both remain fixed as British interest rates rise.

Figure 16.8 Effects of a British Interest Rate Increase in a RoR Diagram

The increase in British interest rates (i£) will shift the British RoR line to the right from RoR£ to RoR£ as indicated by step 1 in the figure.

The reason for the shift can be seen by looking at the simple rate of return formula:

$RoR£=E/£eE/£(1+i£)−1.$

Suppose one is at the original equilibrium with exchange rate E$/£. Looking at the formula, an increase in i£ clearly raises the value of RoR£ for any fixed values of E$/£e. This could be represented as a shift to the right on the diagram, as from A to B. Once at B with a new interest rate, one could perform the exercise used to plot out the downward sloping RoR curve (see Chapter 16 "Interest Rate Parity", Section 16.3 "Forex Equilibrium with the Rate of Return Diagram"). The result would be a curve, like the original, but shifted entirely to the right.

Immediately after the increase and before the exchange rate changes, RoR£ > RoR$. The adjustment to the new equilibrium will follow the “exchange rate too low” equilibrium story presented in Chapter 16 "Interest Rate Parity", Section 16.4 "Exchange Rate Equilibrium Stories with the RoR Diagram". Accordingly, higher British interest rates will make British pound investments more attractive to investors, leading to an increase in demand for pounds on the Forex, and resulting in an appreciation of the pound, a depreciation of the dollar, and an increase in E$/£. The exchange rate will rise to the new equilibrium rate E$/£ as indicated by step 2. In summary, an increase in British interest rates will raise the rate of return on pounds above the rate of return on dollars, lead investors to shift investments to British assets, and result in an increase in the$/£ exchange rate (i.e., an appreciation of the British pound and a depreciation of the U.S. dollar).