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International Finance. Purchasing Power Parity Bill Reese. Learning Objectives. In this unit we will learn: What the law of one price is Why absolute PPP doesn’t always hold What relative PPP is About the International Fisher Effect. Law of One Price. The law of one price
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International Finance Purchasing Power Parity Bill Reese
Learning Objectives • In this unit we will learn: • What the law of one price is • Why absolute PPP doesn’t always hold • What relative PPP is • About the International Fisher Effect
Law of One Price • The law of one price • The same good will cost the same everywhere • No arbitrage opportunities • Can’t buy diamonds in Canada and sell them in U.S.
Law of One Price • PD = Sdirect x PF • The price of a good domestically is the same as its price on a foreign market, adjusted for the spot direct exchange rate
Law of One Price • Absolute Purchasing Power Parity • Often doesn’t hold • Presumes frictionless markets • Transportation costs • Taxes • Non-identical goods
Law of One Price • Can you buy a load of Big Macs in China, sell them in Norway, and earn an arbitrage profit?
Law of One Price • Relative Purchasing Power Parity • Changes in prices • Not absolute prices • Relative inflation or deflation • Usually holds
Relative PPP • (1 + ΠD) = St+1 = 1+ΔSD/F • (1 + ΠF) St • Countries with higher inflation should see their currency depreciate • Inflation expectations gives us XR expectation
Relative PPP • Example: • Expected inflation rate in U.S. next year is 3.0% • Expected inflation rate in Mexico next year is 5.0% • Current spot rate • 2.7 pesos/$ = .37 $/peso
Relative PPP • (1 + .03) = St+1 = 1+ΔS$/P • (1 + .05) .37 • 1+ΔS$/P = 0.981 → ΔS$/P= -1.9% • St+1 = .363 $/peso =2.755 peso/$ • Peso expected to depreciate by 1.9% • Dollar expected to appreciate by 1.9%
International Fisher Effect • Fisher effect • 1 + real rate = 1 + nominal rate • 1 + inflation rate • 100 →107 • 100 →103 • (1.07/1.03) – 1 = 3.88%
International Fisher Effect • International Fisher Effect • Investors concerned with real rate (gain in purchasing power) – invest where it is highest • Real rates will equalize across countries
International Fisher Effect • International Fisher Effect • Differences in nominal rates across countries are due to differences in inflation expectations • Real rates will equalize across countries
International Fisher Effect • International Fisher Effect • Currency values will Δ in amount equal to, but in opposite direction from difference in nominal interest rates • If nominal rates only vary by inflation expectations
International Fisher Effect • International Fisher Effect • Often doesn’t hold • Investors will look to make money in “carry trade” by borrowing in currency with lower rate and investing in currency with higher rate