Lecture 12
EXCHANGE RATES: THE ASSET MARKET APPROACH
Main idea
- In the short run, exchange-rate movements can be explained using the Interest Parity Condition.
- Suppose interest rates in the U.S. and Japan are different. Which will yield a higher return -- investing in the U.S. money market or the Japanese money market?
1. Assumptions
- There is perfect capital mobility between the U.S. and Japan
- There are no taxes on interest income
2. Notation
rUS = Interest rate in the U.S. money market
rJ = Interest rate in the Japanese money market
E = Spot exchange rate, in $/yen
Ee = Expected future exchange rate, in $/yen
3. Returns on deposits in two countries
- Dollar return on dollar deposits = Interest rate in the U.S.
- Expected dollar return on yen deposits = Interest rate in Japan + Expected rate of dollar depreciation
- As E increases, the expected dollar return on yen deposits decreases: Why?
A current depreciation of the dollar makes the "expected future depreciation" smaller, ceteris paribus.
- Plot dollar returns in each case vs. the spot exchange rate (E on the vertical axis)
4. Equation signifying interest parity
U.S. interest rate = Japanese interest rate
+ Expected rate of depreciation of the dollar
rUS = rJ + (Ee - E) / E
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5. Analysis
- Given: (a) Interest rate in the U.S., (b) Interest rate in Japan, (c) Expected exchange rate one year hence
- Obtain the eqbm (spot) exchange rate
- Increase in the U.S. interest rate lowers E (why?)
- Increase in the Japanese interest rate raises E (why?)
- Increase in the expected rate of depreciation of the dollar raises E (why?)
5.1 Question
- Under a system of fixed exchange rates and perfect capital
mobility, what is the relationship between the interest rates in the two countries?
6. Why the interest parity condition may not hold
- Is capital freely mobile?
- Does either government impose taxes on interest income?
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