TOPIC 15 Exchange Rates Thursday, April 19, 12 BIG PICTURE • How do we evaluate currency across countries? • How is the exchange rate determined? • What is the relationship of the foreign exchange market and the foreign trade market? • How is the exchange market related to domestic savings and investment? Thursday, April 19, 12 Government Expenditure Loans Government Taxes Consumption Expenditure Repayment Transfers Households Save Income Interest Profits Output Market Factor Market Economic Investment Financial Market Repayment Revenue Firms Thursday, April 19, 12 Costs Repayment Exports Imports Loans Rest of the World Loans BASICS OF EXCHANGE Thursday, April 19, 12 WHY? EXCHANGE RATES • • Why do we need exchange rates? What are they representing? • Think about Zimbabwe and money inflation, what if the cost of exports from Zimbabwe increased 1,000% with hyperinflation • It would artificially inflate the value of goods in Zimbabwe because of their inflation; remember people in Zimbabwe got an enormous increase in money supply to pay for 1 billion dollar bread Why not have one currency? • Independent currency is one valuable tool in managing a country’s own monetary and fiscal policy • Useful because the US does not always have a recession at the same time as other countries, etc. Thursday, April 19, 12 NOMINAL EXCHANGE RATES • Nominal exchange rate (e): The rate at which the currency of one nation can be exchanged for the currency of another nation • Specifically, how much foreign currency can I buy for 1 USD (home currency) would be the US-Mexico exchange rate, e.g. e=10 pesos / USD • So price of a foreign good is • P = P*/e • Why, say price of iPhones in Japan in 10,000 yen and exchange rate is 120 yen / USD • 10,000 yen / (120 yen / 1 USD) = 10,000 yen * 1 USD / 120 yen = 83.33 dollars • Because 1 yen is not worth much in USD or 1 USD can buy a lot of yen, price should decrease from yen to USD Thursday, April 19, 12 EXAMPLE: ZIMBABWE • Suppose the exchange rate is 100 million ZD / 1 USD (makes sense? Zimbabwe dollars were worth close to nothing) • Let’s buy Zimbabwe bottled water • The cost is 95 million ZD • How much does it cost in USD? • 95 million ZD * (1 USD / 100 million ZD) = .95 USD • Very cheap! Thursday, April 19, 12 CHANGING VALUE • What if the exchange rate changes from 100 million ZD / USD to 120 million ZD / USD? • It now takes more Zimbabwe dollars to buy US currency • US currency is either more expensive or the Zimbabwe dollar is less valuable • Depreciation: a decrease in the value of a currency as measured by the amount of foreign currency it can buy • So relative to US currency Zimbabwe dollar has depreciated; compared to others who knows • Appreciation: an increase in the value of a currency as measured by the amount of foreign currency it can buy • Here relative to Zimbabwe currency, US dollar has appreciated • So when comparing two currencies, if one appreciates, the other must depreciate Thursday, April 19, 12 GET REAL • So what if 1 USD gets me 120 million Zimbabwe dollars; we are interested in goods • Real exchange rate: the rate at which a person can trade the goods and services of one country for the goods and services of another • Real exchange rate formula (RER): eP/P* • So the real exchange rate will tell us how many goods and services we can get in Zimbabwe dollars in comparison to American dollars Thursday, April 19, 12 EXAMPLE: GERMANY • Suppose: Starbucks coffee costs 2 USD here, in germany 1 Euro, and the nominal exchange rate is . 5 Euros / USD • What is the real exchange rate in terms of coffee? • RER = (.5 Euros / 1 USD) * 2 USD per coffee / 1 Euro per coffee = 1 German coffee / 1 US Coffee • Notice that we simply need units to cancel to ensure foreign goods / domestic goods Thursday, April 19, 12 REAL EXCHANGE RATE • In trade people care about the real exchange rate (remember we only care about what we can actually eat and money has no nutritional value) • Now if the RER is 2 German coffee / US coffee, I can buy 2 German coffee for each US coffee • So German coffee is cheaper • Since German Starbucks coffee is cheaper, we expect the US would want to import Thursday, April 19, 12 EXCHANGE AND TRADE • If the RER is 1 German coffee / 2 US coffee • US coffee is cheaper so the US would export to Germany • In general, if the RER < 1, the domestic country exports (here US) • If the RER > 1, the domestic country imports Thursday, April 19, 12 PURCHASING POWER PARITY • Purchasing power parity: a theory of nominal exchange rates so a unit of any given currency should be able to buy the same quantity of goods in all countries • Equation: (1/P)=(e/P*) • • Originally, we had nominal e = .50 Euros / 1 USD • Suppose there is a US expansionary monetary policy so prices double in the US, then e = .25 Euros / 1 USD (why..?) • US dollar has depreciated • Examine PPP, before 1 / 2 = (.5 / 1) so we are safe • Now 1 / 4 = (. 25) / 1 so we are still safe • Basically price changes here are reflected in the exchange rate and as nominal price increases in the US, nominal prices to buy German goods increases PPP implies RER = 1 Thursday, April 19, 12 OTHER INDICES Thursday, April 19, 12 DETERMINING EXCHANGE RATES Thursday, April 19, 12 FOREIGN EXCHANGE MARKETS • How do we actually determine the exchange rate? • There is a market ! (of course) • The foreign exchange market trades domestic and foreign currency • What is price? • Exchange rate! This obviously indicates how much domestic currency I get for foreign currency and vice versa • Specifically, RER. PPP assumption is very strict and in general RER ≠ 1 Thursday, April 19, 12 FOREIGN EXCHANGE MARKETS • • • How about supply of dollars? • Remember supply of dollars is determined by the Federal Reserve and government • But WE use that money, only leftover money can be exchanged internationally • So how much money is leaving the country? Net capital outflow: purchase of foreign assets by domestic residents - purchase of domestic assets by foreigners • So as we purchase more foreign assets we supply more dollars • As foreigners purchase more of our assets, they take dollars and the supply of dollars decreases 2 components of NCO • Foreign Direct Investment • Foreign Portfolio investment - investment in financial assets Thursday, April 19, 12 NET CAPITAL OUTFLOW United States Oil Refinery Brazil Need Dollars Sell Reals Petrobras + Apple Inc. Need Reals Sell Dollars Factory = Assets invested in foreign countries - US assets sold to foreigners Thursday, April 19, 12 FOREIGN EXCHANGE MARKETS • Net capital outflow is impacted by: • • Real interest rates paid on domestic and foreign assets (higher interest rates make the asset more attractive) • Perceived risk of holding assets abroad (more risk is less attractive, all else equal) • Government policy impacting foreign ownership of domestic assets Note that RER (our “price” in this market) does NOT impact the NCO so supply is vertical Thursday, April 19, 12 Real Exchange Rate Supply of dollars, NCO Net quantity of US exchanged FOREIGN EXCHANGE MARKETS: DEMAND • Why would anyone demand dollars in exchange market? • Wanted for exports from the US • Foreign countries must have dollars to buy US goods • So as RER increases, remember that US dollars become more expensive so will export less • So demand for dollars decreases as RER increases • Likewise as RER decreases, demand for dollars increases Thursday, April 19, 12 EQUILIBRIUM • • Now what if the supply of dollars shifts left because of an increase in interest rates (US assets more attractive) The RER increases, what happens to exports? • • • Supply of dollars, NCO Exports decrease because the US is more expensive How did the RER increase? • Real Exchange Rate Increased investment in US financial assets (will talk about connection with direct investment next week) Reduced outflow of capital causes US currency to appreciate Thursday, April 19, 12 Demand for dollars Net quantity of US exchanged CAPITAL FLOWS AND SAVINGS Thursday, April 19, 12 Government Expenditure Loans Government Taxes Consumption Expenditure Repayment Transfers Households Save Income Interest Profits Output Market Factor Market Economic Investment Financial Market Repayment Revenue Firms NX Thursday, April 19, 12 Costs Repayment Exports Imports Loans Rest of the World Loans ~NCO NCO AND NX • Remember that our graph is closed so at each point, things coming in things going out • Tells us NX = NCO (with some reinterpretation of ‘repayment’ and ‘loan’) • Essentially demand for dollars in net exports and supply is NCO • Suppose Japan exports a car to the US for $20000 so NX = -$20000 • Then the US is basically sending $20000 to Japan to pay for the car • Japan could then spend it on the US stock market or in some other asset so NCO = 0 20000 = -$20000 • If Japan pays US employees with the 20K? Then US is exporting services with value of $20000 so NX = 0 and NCO = 0 • Or company could give it to some other source, which then takes an option similar to above Thursday, April 19, 12 INVESTMENT, SAVINGS, NCO • Recall that the equation for national savings without taxes is income less spending (consumption and government) so S = Y - C -G • Since GDP = Y = C + I + G + NX, we can rearrange terms so Y - C - G = I + NX • Then S = I + NX or S = I + NCO since NX = NCO • Before with S = I we assumed there was no trade, i.e. S = I + 0 • So savings must equal investments plus net capital outflow Thursday, April 19, 12 INVESTMENT, SAVINGS, NCO • • How do we solve a problem like low US savings? • Borrow from abroad! • S = I + NCO implies that if we save more than domestic investment we must send it abroad by buying foreign investment • Here we save less than domestic investment so since S < I, NCO<0 • If NCO< 0, foreigners are buying more US assets than US is buying foreign assets, which is what is the case with the US What about NX • NX = NCO < 0, so the US is a net importer, which we know is true also Thursday, April 19, 12 THE GOOD AND BAD OF BORROWING • Is it bad to be a net importer? • We can have higher level of investments with low savings • Ultimately money depends on investments made with foreign • E.g. foreigners could be investing in capital that will improve long-term growth Thursday, April 19, 12 REVIEW • Various exchanges rates are measures of the rate at which we convert domestic money / goods and services to foreign • Exchange rates are set in the foreign exchange markets • Demand in the market is set by net exports, while supply is set by the net outflow of capital, which can be positive or negative •A negative NCO implies that the country is an importer and is borrowing from abroad; the opposite holds for a country with a positive NCO Thursday, April 19, 12
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