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Slope = +
MUS, t0
Slope =
R$1 Time t0 Time (d) Dollar/euro exchange rate, E$/€
Slope = +
t0 (c) U.S. price level, PUS
Slope = +
Slope =
Slope =

ⅱ. Ongoing Inflation, Interest Parity, and PPP

Money supply growth at a constant rate eventually results in ongoing inflation (i.e., continuing rise in the price level) at the same rate. Changes in this long-run inflation rate do not affect the full-employment output level or the long-run relative prices of goods and services. The interest rate is not independent of the money supply growth rate in the long run.
on PPP
ⅰ. The empirical support for PPP and the law of
one price is weak in recent data. The prices of identical commodity baskets, when converted to a single currency, differ substantially across countries. Relative PPP is sometimes a reasonable approximation to the data, but it pe and Relative PPP

Absolute PPP It states that exchange rates equal relative price levels. Relative PPP It states that the percentage change in the exchange rate between two currencies over any period equals the difference between the percentage changes in national price levels. (E$/€,t - E$/€, t –1)/E$/€, t –1 = US, t - E, t (t = inflation rate)
Long-Run Time Paths of U.S. Economic Variables after a Permanent Increase in the Growth Rate of the U.S. Money Supply
(a) U.S. money supply, MUS (b) Dollar interest rate, R$ R$2 = R$1 +
Figure 15-2: Inflation and Interest Rates in Switzerland, the United States, and Italy, 1970-2000
Figure 15-2: Continued
Figure 15-2: Continued
Ⅳ.Empirical Evidence
ⅱ. Conditions
in competitive markets free of transport costs and official barriers to
trade.
ⅲ .Equation and meanings
PiUS = (E$/€) x (PiE) PiUS is the dollar price of good i when sold in the U.S. PiE is the corresponding euro price in Europe E$/€ is the dollar/euro exchange rate
Why?
A Long-Run Exchange Rate Model Based on PPP

The international interest rate difference is the difference between expected national inflation rates:
Money supplies (Ms) An increase in the U.S. (European) money supply causes a proportional long-run depreciation (appreciation) of the dollar against the euro. Interest rates (R ) A rise in the interest rate on dollar (euro) denominated assets causes a depreciation (appreciation) of the dollar against the euro. Output levels (Y) A rise in U.S. (European) output causes an appreciation (depreciation) of the dollar against the euro.
The exchange rate is fully determined in the long run by the relative supplies of those monies and the relative real demands for them.(p393)
What effect on the exchange rate?
Or
PUS = (E$/€) x (PE) PPP asserts that all countries’ price levels are equal when measured in terms of the same currency.
ⅱ. The Relationship Between PPP and the Law of One Price

The law of one price applies to individual commodities, while PPP applies to the general price level. If the law of one price holds true for every commodity, PPP must hold automatically for the same reference baskets across countries. Proponents of the PPP theory argue that its validity does not require the law of one price to hold exactly.
Ⅰ.The Law of One Price ⅰ. ⅳⅴWhat is the law of one price?
Identical goods sold in different countries must sell for the same price when their prices are expressed in terms of the same currency.
t0
Time
t0
Time
A Long-Run Exchange Rate Model Based on PPP
In this example, the dollar interest rate rises because people expect more rapid future money supply growth and dollar depreciation. The interest rate increase is associated with higher expected inflation and an immediate currency depreciation. Figure 15-2 confirms the main long-run prediction of the Fisher effect.
International Economics
Chapter 11 Price Levels and the Exchange Rate in the Long Run Main Contents
The Law of One Price Purchasing Power Parity A Long-Run Exchange Rate Model Based on PPP A General Model of Long-Run Exchange Rates International Interest Rate Differences and the Real Exchange Rate Real Interest Parity
It implies that the dollar price of good i is the same wherever it is sold.
Ⅱ.Purchasing Power Parity
ⅰ. Theory of Purchasing Power Parity (PPP) The exchange rate between two counties’ currencies equals the ratio of the counties’ price levels. Equation: E$/€ = PUS/PE PUS is the dollar price of a reference commodity basket sold in the United States PE is the euro price of the same basket in Europe It compares average prices across countries.
R$ - R€ = eUS - e
ⅲ . The Fisher Effect ---the Long-run relationship between inflation and interest rates
– A rise (fall) in a country’s expected
inflation rate will eventually cause an equal rise (fall) in the interest rate that deposits of its currency offer. Figure 15-1 illustrates an example, where at time t0 the Federal Reserve unexpectedly increases the growth rate of the U.S. money supply to a higher level.
Ⅲ.A Long-Run Exchange Rate Model Based on PPP ----Monetary approach
ⅰ. The Fundamental Equation of the Monetary Approach E$/€ = PUS/PE In U.S: PUS = MsUS/L (R$, YUS) In Europe: PE = MsE/L (R€, YE)
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