Exchange Rates and Purchasing Power Parity

# Exchange Rates and Purchasing Power Parity

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## Exchange Rates and Purchasing Power Parity

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1. Introduction • Exchange rates matter in many different ways to many different constituencies in the world economy • Much of this section on international finance will be directly or indirectly concerned with exchange rates

2. The Nominal Exchange Rate • Relative price of two currencies • Often expressed as number of units of local or home currency required to buy a unit of foreign currency • We will usually view Mexico (peso) as our home country and United States (dollar) as our foreign country • Nominal or currency exchange rate (e) is • If e increases the value of the peso (home currency) falls • If e decreases the value of the peso (home currency) rises • e and the value of the peso are inversely related • e is often graphed as its inverse which is equal to the value of the peso

3. Figure 13.1. The Value of the Peso Scale

4. The Real Exchange Rate • Measures the rate at which two countries’ goods trade against each other • Makes use of the price levels in the two countries under consideration • PM—overall price level in Mexico (the home country) • PUS—overall price level in the United States (the foreign country)

5. Table 13.2. Changes in the Real Exchange Rate

6. The Real Exchange Rate • Suppose that the price level in the United States rises • Takes more Mexican goods to purchase US goods • Represents a fall in the real value of the peso • Suppose that the price level in Mexico rises • Takes fewer Mexican goods to purchase US goods • Represents a rise in the real value of the peso • Suppose that the nominal exchange rate increases • Takes more Mexican pesos to buy a US dollar and, therefore, more Mexican goods to buy US goods • Represents a fall in the real value of the peso • Real exchange rates affected by both nominal exchange rates and price levels

7. Exchange Rates and Trade Flows • is in dollar terms • Multiplying it by e gives us in peso terms • Changes in e have an impact on trade flows • Consider the case of Mexico’s imports and exports • World prices (PW) are typically in US dollar terms • Mexican prices (PM) are in peso terms • Relationship between the peso and world prices of Mexico’s import (Z) goods can be expressed as

8. Exchange Rates and Trade Flows • Suppose e were to increase (the value of the peso falls) • Movement down the scale in Figure 13.1 increases the peso price of the imported good in Mexico • Import demand consequently decreases • Suppose e were to decrease (the value of the peso rises) • Movement up the scale in Figure 13.1 decreases the peso price of the imported good in Mexico • Import demand consequently increases

9. Figure 13.2. The Value of the Peso and Mexico’s Imports

10. Figure 13.3. The Value of the Peso and Mexico’s Exports

11. Exchange Rates and Trade Flows • Relationship between the peso and dollar prices of Mexico’s exported (E) goods can be expressed as • Suppose e were to increase (the value of the peso falls) • Movement down the scale in Figure 13.1 increases the peso price of the export good in Mexico • Export supply in Mexico consequently increases • Mexican firms now have more of an incentive in peso terms to export

12. Exchange Rates and Trade Flows • Suppose e were to decrease (the value of the peso rises) • Movement up the inverse scale in Figure 13.1 decreases the peso price of exports in Mexico • Export supply consequently decreases • Can put the relationships of Figures 13.2 and 13.3 together • Figure 13.4 represents the positive relationship between value of peso and trade deficit, or Z – E

13. The Purchasing Power Parity Model • Begins with the hypothesis that the nominal exchange rate will adjust so that the purchasing power of a currency will be the same in every country • Implications of hypothesis • Purchasing power of a currency in a given country is inversely related to price level in that country • For example, purchasing power of the peso in Mexico can be expressed as • The higher the price level in Mexico the lower the purchasing power of the peso • Purchasing power of peso in United States is more complicated • Need rate at which a peso can be exchanged into dollars, or 1/e • Need purchasing power of a dollar in United States, or 1/PUS • Purchasing power of a peso in United States is

14. PPP Equation • PPP hypothesis is • Invert the equation • Divide both sides of the above equation by PUS to obtain PPP equation

15. Meaning of PPP Equation • Suppose PM were to increase • According to the PPP model, e would increase • Value of the peso would move down the scale in Figure 13.1 • Suppose PUS were to increase • According to the PPP model e would decrease • Value of the peso would move up the scale in Figure 13.1 • Nominal value of the peso adjusts to changes in its real purchasing power in the two countries

16. Meaning of PPP Equation • Restrictiveness of PPP model can be seen when we re-express it in a third equation • Multiplying both sides of the PPP equation by • Obtain modified PPP equation • Compare this equation with real exchange rate

17. PPP Model as Special Case • PPP model is a special case of the real exchange rate • Implies that real exchange rate is fixed at unity • No change in real exchange rate • However real exchange rates do change therefore there must be important elements of the real world that the PPP theory ignores • PPP assumes all goods entering into the price levels of both countries are internationally traded • Phenomenon of product differentiation • Allows for separate markets (and therefore prices) for import and domestic varieties of a good

18. PPP Model as Special Case • Real exchange rate equation captures reality at any point in time • PPP relationship never holds exactly • PPP equation gives a sense of a long-term tendency towards which nominal exchange rates move absent other changes

19. Exchange Rate Exposure • If sales from either exporting or foreign direct investment are not denominated in the currencies of the firms’ home countries • Exchange rate exposure issues arise • Suppose that the €/US\$ exchange rate is currently at a value of 1.00 • Suppose also that a US firm is expecting euro revenues of €1.0 million • Current exchange rate (spot rate) suggests US firm might be expecting dollar revenues of US\$1.0 million • Suppose, however, that the spot rate moves to e = 1.25 (a dollar value of the euro of \$0.80) • Now takes more euros to purchase a dollar—dollar revenues shrink to \$800,000

20. Forward Markets • For some currencies forward rates also exist • Rates of current contracts for “forward” transactions in currencies • Usually for one, three, or six months in the future • If the forward rate of the euro (€/US\$) is exactly the same as the spot rate • Euro is “flat” • If the forward rate of the euro is above the spot rate • Euro is at a “forward discount” • If the forward rate of the euro is below the spot rate • Euro is at a “forward premium” • Hedging exchange rate exposure requires that firms have expectations or forecasts of future spot rates that they can compare to forward rates