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ANHUI UNIVERSITY OF FINANCE & ECONOMICS 1/50 Foreign Exchange Markets and Exchange Rates Chapter 14

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ANHUI UNIVERSITY OF FINANCE & ECONOMICS 1/50

Foreign Exchange Markets and Exchange Rates

Chapter 14

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 2/50

Key TermsKey Terms• Foreign exchange marketForeign exchange market• Exchange rate Exchange rate • Depreciation Depreciation • AppreciationAppreciation• Cross exchange rate Cross exchange rate • Effective exchange rateEffective exchange rate• Covered/uncovered Interest arbitrageCovered/uncovered Interest arbitrage• Forward rate/discount/premiumForward rate/discount/premium• ArbitrageArbitrage• SpeculationSpeculation• HedgingHedging

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 3/50

1 Introduction 1 Introduction Examine the functions of foreign exchange markets;Examine the functions of foreign exchange markets; Define foreign exchange rates and arbitrage, and exDefine foreign exchange rates and arbitrage, and examine the relationship between the exchange rate and amine the relationship between the exchange rate and the nation's balance of payments;the nation's balance of payments; Define spot and forward rates and discuss foreign exDefine spot and forward rates and discuss foreign exchange swaps, futures, and options;change swaps, futures, and options; Deals with foreign exchange risks, hedging, and specDeals with foreign exchange risks, hedging, and speculation;ulation; Examines uncovered and covered interest arbitrage, Examines uncovered and covered interest arbitrage, as well as the efficiency of the foreign exchange markeas well as the efficiency of the foreign exchange market;t; Deals with the Eurocurrency, Eurobond, and EuronDeals with the Eurocurrency, Eurobond, and Euronote markets;ote markets;

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 4/50

2 Foreign Exchange MarketThe foreign exchange market is the market in whiThe foreign exchange market is the market in which individuals, firms, and banks buy and sell foreich individuals, firms, and banks buy and sell foreign currencies or foreign exchange. gn currencies or foreign exchange.

The foreign exchange market for any currency iThe foreign exchange market for any currency is comprised of all the locations where the currencs comprised of all the locations where the currency is bought and sold for other currencies. These y is bought and sold for other currencies. These monetary centers are connected electronically anmonetary centers are connected electronically and are in constant contact with one another, thus fd are in constant contact with one another, thus forming a single international foreign exchange maorming a single international foreign exchange market.rket.

Why do we need to exchange one currency for Why do we need to exchange one currency for another?another?

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 5/50

2.1 Functions of Foreign Exchange Markets

The basic functions of foreign exchange markets:The basic functions of foreign exchange markets: Function 1:Function 1: to transfer funds or purchasing to transfer funds or purchasing power from one nation and currency to another power from one nation and currency to another (through an electronic transfer and Internet).(through an electronic transfer and Internet). Function 2:Function 2: the credit function. Credit is usually the credit function. Credit is usually needed when goods are in transit and also to needed when goods are in transit and also to allow the buyer some time to resell the goods and allow the buyer some time to resell the goods and make the payment (60 days or 90 days after sight).make the payment (60 days or 90 days after sight). Function 3:Function 3: to provide the facilities for hedging to provide the facilities for hedging and speculation. and speculation. Today, about 90 percent of foreign exchange Today, about 90 percent of foreign exchange trading reflects purely financial transactions and trading reflects purely financial transactions and only about 10 percent trade financing.only about 10 percent trade financing.

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 6/50

2.2 Four Levels of Participants2.2 Four Levels of Participants

Level 1Level 1traditional users as tourists, importers, traditional users as tourists, importers,

exporters, investors, and so on…exporters, investors, and so on…

Level 2Level 2commercial bankscommercial banks

Level 3Level 3foreign exchange brokersforeign exchange brokers

Level 4Level 4the nation's central bankthe nation's central bank

Clearinghouses between Clearinghouses between users and earners of forusers and earners of for

eign exchangeeign exchange

InterbankInterbank

the seller or buyer of the seller or buyer of last resort last resort

immediate users and immediate users and suppliers of foreign suppliers of foreign

currenciescurrencies

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 7/50

The world as a whole was nearly $1.2 trillion per day in 2001.

More than 10 times the average yearly volume of world trade, About one-eighth of the U.S. gross domestic product (GDP). London: $504 bil. of transactions per day (31% of the total) New York: $254 bil. (16% percent of the total) Tokyo: $149 billion(10%) Singapore: $139 billion(9%) Frankfurt: $88 billion (5%)

Most of these foreign exchange transactions take place through debiting and crediting bank accounts rather than through actual currency exchanges.

2.3 Volume of Foreign Exchange Tra2.3 Volume of Foreign Exchange Transactionsnsactions

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 8/50

3 Equilibrium Foreign Exchange Rat3 Equilibrium Foreign Exchange Rateses

When the exchange rate is expressed as the home currency price of a unit of the foreign currency, it is called direct quotation, e.g. $2= € 1. If it is expressed as the foreign currency price of a unit of the domestic currency, it is indirect quotation. € 0.5 = $1

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 9/50

3.1 Depreciation & Appreciation3.1 Depreciation & AppreciationDepreciation:Depreciation: an an increaseincrease in in the domestic price of the forthe domestic price of the foreign currency. eign currency.

Appreciation: Appreciation: a a decline decline in thin the domestic price of the foreie domestic price of the foreign currency. gn currency.

An appreciation of the domAn appreciation of the domestic currency means a depestic currency means a depreciation of the foreign currreciation of the foreign currency and vice versa. ency and vice versa.

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 10/50

3.2 Cross Exchange Rate 3.2 Cross Exchange Rate What is cross exchange rate ? What is cross exchange rate ? Exchange rate: $2.00= Exchange rate: $2.00= ₤₤1.00 $1.25= €1.001.00 $1.25= €1.00 R= €/R= €/₤₤=$value of =$value of ₤/₤/$value of€=2/1.25$value of€=2/1.25 =1.60(€1.6 for =1.60(€1.6 for ₤₤1)1)What is an effective exchange rate?What is an effective exchange rate? Some currencies may appreciate and some othSome currencies may appreciate and some others may depreciate. Then we need to calculate the ers may depreciate. Then we need to calculate the effective exchange rate. So it is a weighted averageffective exchange rate. So it is a weighted average of the exchange rates between the domestic cure of the exchange rates between the domestic currency and the nation's most important trade partnrency and the nation's most important trade partners, with weights given by the relative importance ers, with weights given by the relative importance of the nation's trade with each of these trade partnof the nation's trade with each of these trade partnersers

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 11/50

3.3 Arbitrage3.3 ArbitrageThis refers to the purchase of a currency in the monetary This refers to the purchase of a currency in the monetary center where it is cheaper, for immediate resale in the center where it is cheaper, for immediate resale in the monetary center where it is more expensive, in order to monetary center where it is more expensive, in order to make a profit. make a profit.

New York: $0.99 = €1 New York: $0.99 = €1 Frankfurt: $1.01 = €1 Frankfurt: $1.01 = €1

What would you do?What would you do? Buy € in NY, sell it in Frankfurt and make a profitBuy € in NY, sell it in Frankfurt and make a profit.. The arbitrage increases the demand for euros in New The arbitrage increases the demand for euros in New York, and will have an upward pressure on the dollar price York, and will have an upward pressure on the dollar price of euros in New York. At the same time, the sale of euros of euros in New York. At the same time, the sale of euros in Frankfurt increases the supply of euros there, thus it in Frankfurt increases the supply of euros there, thus it will have a downward pressure on the dollar price of euros will have a downward pressure on the dollar price of euros in Frankfurt. This continues until the dollar price of the in Frankfurt. This continues until the dollar price of the euro becomes equal in New York and Frankfurt (say at $1 euro becomes equal in New York and Frankfurt (say at $1 =€l), thus eliminating the profitability of further arbitrage.=€l), thus eliminating the profitability of further arbitrage.

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 12/50

3.3 Arbitrage3.3 ArbitrageWhat is two-point arbitrage and three-point, arbitrage?What is two-point arbitrage and three-point, arbitrage? The first one involves 2 currencies and 2 monetary centers.The first one involves 2 currencies and 2 monetary centers.The second one involves 3 currencies and 3 monetary centers.The second one involves 3 currencies and 3 monetary centers. New York: $1=€1; Frankfurt: €1=New York: $1=€1; Frankfurt: €1=₤₤0.64; London:0.64; London:₤₤0.64 = $1 0.64 = $1 These cross rates are consistent because $1 = €l = These cross rates are consistent because $1 = €l = ₤₤0.64.0.64.What ifWhat if New York: $0.96 = €1 New York: $0.96 = €1 Frankfurt: €1 = Frankfurt: €1 = ₤₤ 0.64 0.64 London: London: ₤₤0.64 = $10.64 = $1Buy € in NY, exchange it for Buy € in NY, exchange it for ₤ and then exchange ₤ for $ in Lond₤ and then exchange ₤ for $ in London,on, thus making a $0.04 profit on each euro. thus making a $0.04 profit on each euro. What ifWhat if New York: $1.04 = €1 New York: $1.04 = €1 Frankfurt: €1 = Frankfurt: €1 = ₤₤ 0.64 0.64 London: London: ₤₤ 0.64 = $1 0.64 = $1Buy Buy ₤₤ in in London,London, exchange it for € exchange it for € in Frankfurt and then exchan in Frankfurt and then exchange ge €€ for $ in NY, for $ in NY, thus making a profit of $0.04 on each euro so tra thus making a profit of $0.04 on each euro so transferred. nsferred.

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 13/50

3.4 The Exchange Rate3.4 The Exchange Rate

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 14/50

3.4 The Exchange Rate3.4 The Exchange Rate

Under a managed float:Under a managed float: it would have to satisfy the it would have to satisfy the excess demand of €l00 million per day (WZ in the figure) excess demand of €l00 million per day (WZ in the figure) out of its official euro reserves. out of its official euro reserves. With a freely flexible exchange rate system:With a freely flexible exchange rate system: the dollar the dollar would depreciate until R = 1.50 (point E' in the figure). would depreciate until R = 1.50 (point E' in the figure).

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 15/50

The concept and measurement of international transactions and the balance of payments are very important and useful for several reasons. First, the flow of trade provides the link between international transactions and the national income. Second, many developing countries still operate under a fixed exchange rate system and peg their currency to a major currency, such as the U.S. dollar and the euro, or to SDRs. Third, the International Monetary Fund requires all member nations to report their balance-of-payments statement annually to it. Finally, while not measuring the deficit or surplus in the balance of payments, it indicates the degree of intervention by the nation's monetary authorities in the foreign exchange market to reduce exchange rate volatility and to influence exchange rate levels.

3.5 Exchange Rate & BOP3.5 Exchange Rate & BOP

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 16/50

4 Spot and Forward Rates4 Spot and Forward RatesSpot transaction and the spot rate:Spot transaction and the spot rate:It is the most common type of foreign exchange transactioIt is the most common type of foreign exchange transaction involving the payment and receipt of foreign exchange wn involving the payment and receipt of foreign exchange within two business days after the date of the transaction. Tithin two business days after the date of the transaction. The exchange rate R = $/€= 1 in Figure 14.1 is a spot rate.he exchange rate R = $/€= 1 in Figure 14.1 is a spot rate.A forward transaction:A forward transaction:It is an agreement today to buy or sell a specified amount It is an agreement today to buy or sell a specified amount of a foreign currency at a specified future date at a rate agrof a foreign currency at a specified future date at a rate agreed upon today (the forward rate). eed upon today (the forward rate). An agreement today to purchase €l00 three months from tAn agreement today to purchase €l00 three months from today at $1.01 = €l. (no currencies are paid out at the time ooday at $1.01 = €l. (no currencies are paid out at the time of the contract).f the contract).After 3 months, we get the €l00 for $101, regardless of whaAfter 3 months, we get the €l00 for $101, regardless of what the spot rate is at that time. t the spot rate is at that time. The forward contract is usually for 1, 3 or 6 months.The forward contract is usually for 1, 3 or 6 months.

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 17/50

5 Forward Discount and Forward Pr5 Forward Discount and Forward Premiumemium

At any point in time, the forward rate can be equal to, aAt any point in time, the forward rate can be equal to, above, or below the corresponding spot rate.bove, or below the corresponding spot rate. If the forward rate is If the forward rate is below the present spot ratebelow the present spot rate, the fo, the foreign currency is said to be at a reign currency is said to be at a forward discountforward discount with res with respect to the domestic currency. pect to the domestic currency. If the forward rate is If the forward rate is above the present spot rateabove the present spot rate, the fo, the foreign currency is said to be at reign currency is said to be at a forward premiuma forward premium. . The spot rateThe spot rate: $1 = €l: $1 = €l The three-month forward rateThe three-month forward rate:$0.99 = €l:$0.99 = €l The euro is at The euro is at a three-month forward discounta three-month forward discount of 1 cent of 1 cent or 1% (or a 4% forward discount per year) with respect to tor 1% (or a 4% forward discount per year) with respect to the dollar. he dollar. The spot rateThe spot rate: $1 = €l : $1 = €l The three-month forward rateThe three-month forward rate: $1.01 = €l: $1.01 = €l The euro is said to be at The euro is said to be at a forward premiuma forward premium of 1 cent or of 1 cent or 1% for three months, or 4% per year. 1% for three months, or 4% per year.

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 18/50

Forward discounts (FD) or premiums (FP) are usually exForward discounts (FD) or premiums (FP) are usually expressed as percentages per year from the corresponding pressed as percentages per year from the corresponding spot rate and can be calculated formally with the followinspot rate and can be calculated formally with the following formula:g formula:

If SR=$1.00, FR=$0.99If SR=$1.00, FR=$0.99FD=($0.99FD=($0.99 -- $1.00)/$1.00×4×100 =$1.00)/$1.00×4×100 = -- $0.01/$1.00×4×100$0.01/$1.00×4×100 =-=- 0.01×4×1000.01×4×100 =-=- 44 % % If SR=$1.00, FR=$1.01If SR=$1.00, FR=$1.01FP=($1.01FP=($1.01 -- $1.00)/$1.00×4×100=$0.01/$1.00×4×100$1.00)/$1.00×4×100=$0.01/$1.00×4×100 == 0.01×4×1000.01×4×100 == +4+4 %%

5 Forward Discount and Forward Pr5 Forward Discount and Forward Premiumemium

1004

SR

SRFRFPorFD

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 19/50

5.1 Currency Swaps5.1 Currency SwapsIt refers to a spot sale of a currency combined with a forward repurchase of the same currency--as part of a single transaction.Citibank receives a $1 million payment today that it will need in three months, but it wants to invest this sum in euros. Citibank would incur lower brokerage fees by swapping the $1 million into euros with Frankfurt's Deutsche Bank as part of a single transaction than selling dollars for euros in the spot market today and at the same time repurchasing dollars for euros in the forward market for delivery in three months---in two separate transactions. The swap rate is the difference between the spot and forward rates.

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 20/50

5.2 Foreign Exchange FuturesA foreign exchange futures is a forward contract for standardized currency amounts and selected calendar dates traded on an organized market (exchange).Currencies traded on the International Monetary Market (IMM): the Japanese yen, Canadian dollar, British pound, Swiss franc, Australian dollar, Mexican peso, and the euro. IMM trading is done in contracts of standard size.Only four dates per year are available: the third Wednesday in March, June, September, and December. The IMM imposes a daily limit on exchange rate fluctuations. Buyers and sellers pay a brokerage commission and are required to post a security deposit or margin (of about 4% of the value of the contract).

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 21/50

5.3 Foreign Exchange FuturesThe futures market differs from a forward market in that: Only a few currencies are traded; the Japanese yen, Canadian dollar, British pound, Swiss franc, Australian dollar, Mexican peso, and the euro. Trades occur in standardized contracts only, for a few specific delivery dates, and are subject to daily limits on exchange rate fluctuations; (the third Wednesday in March, June, September, and December.) Trading takes place only in a few locations, such as Chicago, New York, London, Frankfurt, and Singapore. Futures contracts are usually for smaller amounts than forward contracts and thus are more useful to small firms than to large ones but are somewhat more expensive. Futures contracts can also be sold at any time up until maturity on an organized futures market, while forward contracts cannot.

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 22/50

5.3 Foreign Exchange Futures5.3 Foreign Exchange FuturesA market similar to the IMM:A market similar to the IMM:LIFFE: the London International Financial Futures ExchanLIFFE: the London International Financial Futures Exchangegethe Eurex: the German/Swiss exchange. the Eurex: the German/Swiss exchange. the COMEX: commodities exchange in New York.the COMEX: commodities exchange in New York.the Globex: a round-the-world electronic futures-trading sthe Globex: a round-the-world electronic futures-trading system, was launched by the Chicago Board of Trade, the Cystem, was launched by the Chicago Board of Trade, the Chicago Mercantile Exchange, and the Reuters Holdings PLhicago Mercantile Exchange, and the Reuters Holdings PLC in 1994.C in 1994.Globex now includes the Chicago Mercantile Exchange, MGlobex now includes the Chicago Mercantile Exchange, Motif (the French exchange), and the Singapore Internationaotif (the French exchange), and the Singapore International Monetary Exchange. l Monetary Exchange. FXAll: the electronic exchange was started by 17 of the woFXAll: the electronic exchange was started by 17 of the world's largest foreign financial institutions.rld's largest foreign financial institutions.

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 23/50

5.4 Foreign Exchange Options5.4 Foreign Exchange OptionsA foreign exchange option is a contract giving the purchasA foreign exchange option is a contract giving the purchaser the er the rightright, but not the obligation, to, but not the obligation, to buy buy (a call option) or (a call option) or to to sellsell (a put option) a (a put option) a standard amountstandard amount of a traded curren of a traded currency on a cy on a stated datestated date (the European option) or at any time be (the European option) or at any time before a stated date (the American option) and at a fore a stated date (the American option) and at a stated pristated pricece (the strike or exercise price). (the strike or exercise price). Foreign exchange options are in standard sizes equal to thForeign exchange options are in standard sizes equal to those of futures IMM contracts. The buyer of the option has tose of futures IMM contracts. The buyer of the option has the choice to he choice to purchase or forego the purchasepurchase or forego the purchase if it turns ou if it turns out to be unprofitable. The seller of the option, however, t to be unprofitable. The seller of the option, however, musmust fulfill the contractt fulfill the contract if the buyer so desires. The buyer pays if the buyer so desires. The buyer pays the seller a premium (the option price) ranging from 1 to 5 the seller a premium (the option price) ranging from 1 to 5 percent of the contract's value for this privilege when he opercent of the contract's value for this privilege when he or she enters the contract. r she enters the contract.

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 24/50

5.4 Foreign Exchange Options5.4 Foreign Exchange Options Although forward contracts can be reversed (e.g., a parAlthough forward contracts can be reversed (e.g., a party can sell a currency forward to neutralize a previous purty can sell a currency forward to neutralize a previous purchase) and futures contracts can be sold back to the futurchase) and futures contracts can be sold back to the futures exchange, both must be exercised (i.e., both contracts es exchange, both must be exercised (i.e., both contracts must be honored by both parties on the delivery date). must be honored by both parties on the delivery date). Thus, options are less flexible than forward contracts, Thus, options are less flexible than forward contracts, but in some cases they may be more useful. For example, but in some cases they may be more useful. For example, an American firm making a bid to take over a EU firm may an American firm making a bid to take over a EU firm may be required to promise to pay a specified amount in euros. be required to promise to pay a specified amount in euros. Since the American firm does not know if its bid will be suSince the American firm does not know if its bid will be successful, it will purchase an option to buy the euros that it ccessful, it will purchase an option to buy the euros that it would need and will exercise the option if the bid is succewould need and will exercise the option if the bid is successful.ssful.

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 25/50

6 Foreign Exchange Risks6 Foreign Exchange Risks Through time, a naThrough time, a nation's demand and sution's demand and supply curves for foreigpply curves for foreign exchange shift, caun exchange shift, causing the spot and forwsing the spot and forward rate to vary frequeard rate to vary frequently. ntly. Change in tastes, rChange in tastes, relative rates of intereselative rates of interest, expectations; Differt, expectations; Different growth and inflatioent growth and inflation rates in different natn rates in different nations;…. ions;….

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 26/50

6 Foreign Exchange Risks6 Foreign Exchange RisksThe frequent and relatively large fluctuations in exchange rates impose foreign exchange risks on all individuals, firms, and banks that have to make or receive payments in the future denominated in a foreign currency. Suppose a U.S. importer purchases €l00,000 worth of goods from the EU and has to pay in 3 months in euros.

This clearly shows that whenever a future payment must be made or received in a foreign currency, a foreign exchange risk, or a so-called open position, is involved because spot exchange rates vary over time. In general, business people don’t like risk and will want to avoid or insure themselves against their foreign exchange risk. But How?

Ex Rates in 3 Month SR = $1/€l SR =$1.10/€l SR = $0.90/€l

He has to pay $100,000 $110,000 $90,000

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 27/50

6.1 Hedging6.1 Hedging Hedging refers to the avoidance of a foreign exchange risHedging refers to the avoidance of a foreign exchange risk, or the covering of an open position. k, or the covering of an open position. For exampleFor example, the importer could borrow €l00,000 at SR= $, the importer could borrow €l00,000 at SR= $1/€l and leave this sum in a bank (to earn interest) for 3 mon1/€l and leave this sum in a bank (to earn interest) for 3 months. Thus, the importer avoids the risk that the spot rate in 3 ths. Thus, the importer avoids the risk that the spot rate in 3 months will be higher than today's spot rate and that he womonths will be higher than today's spot rate and that he would have to pay more than $100,000 for imports. uld have to pay more than $100,000 for imports. The cost is the difference between the interest rate the imThe cost is the difference between the interest rate the importer has to pay on the loan of €l00,000 and the lower interporter has to pay on the loan of €l00,000 and the lower interest rate he or she earns on the deposit of €l00,000. est rate he or she earns on the deposit of €l00,000. Similarly,Similarly, the exporter could borrow €l00,000 today, exch the exporter could borrow €l00,000 today, exchange this sum for $100,000 at SR = $1/€l, and deposit the $1ange this sum for $100,000 at SR = $1/€l, and deposit the $100,000 in a bank to earn interest. After 3 months, the export00,000 in a bank to earn interest. After 3 months, the exporter would repay the loan of €l00,000 with the payment of €l00,er would repay the loan of €l00,000 with the payment of €l00,000 he receives. 000 he receives. The The cost cost is the difference between the borrowing and depis the difference between the borrowing and deposit rates of interest. osit rates of interest.

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 28/50

6.1 Hedging6.1 HedgingHedging in the spot market has a serious disadvantage: Hedging in the spot market has a serious disadvantage: The importer must borrow or tie up his own funds for 3 months. The importer must borrow or tie up his own funds for 3 months. To avoid this, he can use hedging To avoid this, he can use hedging in the forward market.in the forward market. TheThe importer importer could buy euros forward for delivery in 3 monthcould buy euros forward for delivery in 3 months at today's 3-month forward rate. If the euro is at a 3-month fors at today's 3-month forward rate. If the euro is at a 3-month forward premium of 4% per year, the importer will have to pay $101,ward premium of 4% per year, the importer will have to pay $101,000 in 3 months for the €l00,000. Therefore, the hedging cost wil000 in 3 months for the €l00,000. Therefore, the hedging cost will be $1,000. l be $1,000. Similarly, theSimilarly, the exporter exporter could sell euros forward for delivery in could sell euros forward for delivery in 3 months at today's 3-month forward rate, in anticipation of rece3 months at today's 3-month forward rate, in anticipation of receiving the payment of €l00,000 for the exports. Since no transfer iving the payment of €l00,000 for the exports. Since no transfer of funds takes place until three months later, the exporter need of funds takes place until three months later, the exporter need not borrow or tie up his or her own funds now. not borrow or tie up his or her own funds now. If the euro is at a three-month forward discount of 4 percent pIf the euro is at a three-month forward discount of 4 percent per year, the exporter will get only $99,000 for the €l00,000 he delier year, the exporter will get only $99,000 for the €l00,000 he delivers in 3 months. On the other hand, if the euro is at a 4 percent vers in 3 months. On the other hand, if the euro is at a 4 percent forward premium, the exporter will receive $101,000 in 3 months forward premium, the exporter will receive $101,000 in 3 months with certainty by hedging.with certainty by hedging.

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 29/50

6.1 Hedging6.1 HedgingA foreign exchange risk can also be hedged and an open A foreign exchange risk can also be hedged and an open position avoided position avoided in the futures or options markets.in the futures or options markets. Suppose that an Suppose that an importerimporter knows that he must pay knows that he must pay €l00,000 in 3 months and the 3-month forward rate of the €l00,000 in 3 months and the 3-month forward rate of the euro is FR = $1/€1. The euro is FR = $1/€1. The importer importer could either purchase could either purchase the €l00,000 forward or purchase an option to purchase the €l00,000 forward or purchase an option to purchase €100,000 in 3 months, say at $1/€l, and pay now the €100,000 in 3 months, say at $1/€l, and pay now the premium of 1% ( $1,000 on the $100,000 option).premium of 1% ( $1,000 on the $100,000 option). If in 3 months the spot rate is SR = $0.98/€l, the If in 3 months the spot rate is SR = $0.98/€l, the importer has to pay $100,000 with the forward contract, importer has to pay $100,000 with the forward contract, but could let the option expire unexercised and get the but could let the option expire unexercised and get the €l00,000 at the cost of only $98,000 on the spot market. In €l00,000 at the cost of only $98,000 on the spot market. In that case, the $1,000 premium can be regarded as an that case, the $1,000 premium can be regarded as an insurance policy and the importer will save $2,000 over insurance policy and the importer will save $2,000 over the forward contract. the forward contract.

ANHUI UNIVERSITY OF FINANCE & ECONOMICS 30/50

6.2 Speculation6.2 Speculation Speculation is the opposite of hedging. Whereas a Speculation is the opposite of hedging. Whereas a hedger seeks to cover a foreign exchange risk, a hedger seeks to cover a foreign exchange risk, a speculator accepts and even seeks out a foreign exchange speculator accepts and even seeks out a foreign exchange risk, or an open position, in the hope of making a profit. If risk, or an open position, in the hope of making a profit. If the speculator correctly anticipates future changes in spot the speculator correctly anticipates future changes in spot rates, he makes a profit; otherwise, he incurs a loss. rates, he makes a profit; otherwise, he incurs a loss.

As in the case of hedging, speculation can take place As in the case of hedging, speculation can take place in in the spot, forward, futures, or options markets--usually in the spot, forward, futures, or options markets--usually in the forward market. the forward market.

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6.2.1 Speculation---Spot Market6.2.1 Speculation---Spot Market If a speculator believes that the spot rate of a particular If a speculator believes that the spot rate of a particular foreign currency will rise, he can purchase the currency nforeign currency will rise, he can purchase the currency now and hold it on deposit in a bank for resale later. If he is ow and hold it on deposit in a bank for resale later. If he is correct, he earns a profit on each unit of the foreign currencorrect, he earns a profit on each unit of the foreign currency equal to the spread between the previous lower spot ratcy equal to the spread between the previous lower spot rate at which he purchased the foreign currency and the highe at which he purchased the foreign currency and the higher subsequent spot rate at which he resells it. If he is wroner subsequent spot rate at which he resells it. If he is wrong, he incurs a loss because he must resell the foreign currg, he incurs a loss because he must resell the foreign currency at a price lower than the purchase price.ency at a price lower than the purchase price. If, on the other hand, the speculator believes that the spIf, on the other hand, the speculator believes that the spot rate will fall, he borrows the foreign currency for 3 montot rate will fall, he borrows the foreign currency for 3 months, exchanges it for the domestic currency at the prevailinhs, exchanges it for the domestic currency at the prevailing spot rate, and deposits the domestic currency in a bank g spot rate, and deposits the domestic currency in a bank to earn interest. After 3 months, if the spot rate is lower, hto earn interest. After 3 months, if the spot rate is lower, he earns a profit by purchasing the currency (to repay the fe earns a profit by purchasing the currency (to repay the foreign exchange loan) at the lower spot rate. If the spot ratoreign exchange loan) at the lower spot rate. If the spot rate in three months is higher rather than lower, he incurs a le in three months is higher rather than lower, he incurs a loss.oss.

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6.2.2 Speculation--Forward Market6.2.2 Speculation--Forward MarketSpeculation usually takes place Speculation usually takes place in the forward market. in the forward market. For example, if the speculator believes that the spot rate oFor example, if the speculator believes that the spot rate of a certain foreign currency will be higher in 3 months than f a certain foreign currency will be higher in 3 months than its present 3-month forward rate, he purchases a specified its present 3-month forward rate, he purchases a specified amount of the foreign currency forward for delivery (and pamount of the foreign currency forward for delivery (and payment) in 3 months. After 3 months, if he is correct, he reayment) in 3 months. After 3 months, if he is correct, he receives delivery of the foreign currency at the lower agreed ceives delivery of the foreign currency at the lower agreed forward rate and immediately resells it at the higher spot rforward rate and immediately resells it at the higher spot rate, thus realizing a profit. Of course, if he is wrong, he incate, thus realizing a profit. Of course, if he is wrong, he incurs a loss. urs a loss. In any event, no currency changes hands until the 3 moIn any event, no currency changes hands until the 3 months are over (except for the normal 10 percent security mnths are over (except for the normal 10 percent security margin that the speculator is required to pay at the time he oargin that the speculator is required to pay at the time he or she signs the forward contract).r she signs the forward contract).

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6.2.3 Speculation--Options Market6.2.3 Speculation--Options Market Alternatively, the speculator could purchase an option tAlternatively, the speculator could purchase an option to sell a specific amount of euros in 3 months at the rate of o sell a specific amount of euros in 3 months at the rate of $1.01/€l. If he is correct and the spot rate of the euro in 3 $1.01/€l. If he is correct and the spot rate of the euro in 3 months is indeed $0.99/€l, he will exercise the option, by bmonths is indeed $0.99/€l, he will exercise the option, by buying euros in the spot market at $0.99/€1, and receive $1.uying euros in the spot market at $0.99/€1, and receive $1.01/€1. Then, he earns 2 cents per euro. 01/€1. Then, he earns 2 cents per euro. In this case, the result is the same as with the forward cIn this case, the result is the same as with the forward contract, except that the option price may exceed the commontract, except that the option price may exceed the commission on the forward contract so that his net profit with thission on the forward contract so that his net profit with the option may be a little less. e option may be a little less. On the other hand, if he is wrong and the spot rate of thOn the other hand, if he is wrong and the spot rate of the euro is much higher, he will let the option contract expire euro is much higher, he will let the option contract expire unexercised and incur only the cost of the premium or oe unexercised and incur only the cost of the premium or option price. ption price.

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6.2.4 Speculation---Long & Short Po6.2.4 Speculation---Long & Short Positionsition

When a speculator buys a foreign currency on the spot, When a speculator buys a foreign currency on the spot, forward, or futures market, or buys an option to purchase forward, or futures market, or buys an option to purchase a foreign currency a foreign currency in the expectation of reselling it at a higin the expectation of reselling it at a higher future spot rateher future spot rate, he or she is said to take a long positio, he or she is said to take a long position in the currency. n in the currency.

On the other hand, when the speculator On the other hand, when the speculator borrows or sellsborrows or sells forward a foreign currency forward a foreign currency in the expectation of buying it ain the expectation of buying it at a future lower pricet a future lower price to repay the foreign exchange loan or to repay the foreign exchange loan or honor the forward sale contract or option, the speculator ihonor the forward sale contract or option, the speculator is said to take a short position.s said to take a short position.

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6.2.5 Speculation---Stablizing & Des6.2.5 Speculation---Stablizing & Destablizingtablizing

Speculation can be stabilizing or destabilizing: Stabilizing speculation refers to the purchase of a foreign currency when the domestic price of the foreign currency falls or is low, in the expectation that it will soon rise, thus leading to a profit. Or it refers to the sale of the foreign currency when the exchange rate rises or is high, in the expectation that it will soon fall. Stabilizing speculation moderates fluctuations in exchange rates over time and performs a useful function. Destabilizing speculation refers to the sale of a foreign currency when the exchange rate falls or is low, in the expectation that it will fall even lower in the future, or the purchase of a foreign currency when the exchange rate is rising or is high, in the expectation that it will rise even higher. Destabilizing speculation thus magnifies exchange rate fluctuations over time and can prove very disruptive to the international flow of trade and investments.

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6.2.6 Speculation---Leads & Lags 6.2.6 Speculation---Leads & Lags Speculators are usually wealthy individuals or firms ratSpeculators are usually wealthy individuals or firms rather than banks. However, anyone who has to make a paymher than banks. However, anyone who has to make a payment in a foreign currency in the future can speculate by spent in a foreign currency in the future can speculate by speeding up payment if he expects the exchange rate to rise eeding up payment if he expects the exchange rate to rise and delaying it if he expects the exchange rate to fall, whiland delaying it if he expects the exchange rate to fall, while anyone who has to receive a future payment in a foreign e anyone who has to receive a future payment in a foreign currency can speculate by using the reverse tactics. currency can speculate by using the reverse tactics. For example, if an importer expects the exchange rate to For example, if an importer expects the exchange rate to rise soon, he can anticipate the placing of an order and parise soon, he can anticipate the placing of an order and pay for imports right away. On the other hand, an exporter wy for imports right away. On the other hand, an exporter who expects the exchange rate to rise will want to delay deliho expects the exchange rate to rise will want to delay deliveries and extend longer credit terms to delay payment. Tveries and extend longer credit terms to delay payment. These are known as hese are known as leads and lags leads and lags and are a form of speculand are a form of speculation. ation.

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7 Uncovered Interest Arbitrage7 Uncovered Interest Arbitrage Interest arbitrage refers to the international flow of short-term liquid capital to earn higher returns abroad. Interest arbitrage can be covered or uncovered. Since the transfer of funds abroad to take advantage of higher interest rates in foreign monetary centers involves the conversion of the domestic to the foreign currency to make the investment, and the subsequent reconversion of the funds (plus the interest earned) from the foreign currency to the domestic currency at the time of maturity, a foreign exchange risk is involved due to the possible depreciation of the foreign currency during the period of the investment. If such a foreign exchange risk is covered (覆盖风险) , we have covered interest arbitrage; otherwise, we have uncovered interest arbitrage.

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7 Uncovered Interest Arbitrage7 Uncovered Interest ArbitrageSuppose that the interest rate on 3-month treasury bills is 6% at Suppose that the interest rate on 3-month treasury bills is 6% at an annual basis in New York and 8% in Frankfurt. It may then an annual basis in New York and 8% in Frankfurt. It may then pay for a U.S. investor to exchange dollars for euros at the pay for a U.S. investor to exchange dollars for euros at the current spot rate and purchase EMU treasury bills to earn the current spot rate and purchase EMU treasury bills to earn the extra 2% interest at an annual basis. extra 2% interest at an annual basis. When the treasury bills mature, the U.S. investor may want to When the treasury bills mature, the U.S. investor may want to exchange the euros invested plus the interest earned back into exchange the euros invested plus the interest earned back into dollars. If, by that time, the euro may have depreciated so that dollars. If, by that time, the euro may have depreciated so that the investor would get back fewer dollars per euro than he paid. the investor would get back fewer dollars per euro than he paid. If the euro depreciates by 1 percent at an annual basis, the U.S. If the euro depreciates by 1 percent at an annual basis, the U.S. investor nets only about 1% from this foreign investment at an investor nets only about 1% from this foreign investment at an annual basis 1/4 of 1% for the 3 months of the investment. annual basis 1/4 of 1% for the 3 months of the investment. If the euro depreciates by 2%, the U.S. investor gains nothing, If the euro depreciates by 2%, the U.S. investor gains nothing, and if the euro depreciates by more than 2 percent, the U.S. and if the euro depreciates by more than 2 percent, the U.S. investor loses. Of course, if the euro appreciates, the U.S. investor investor loses. Of course, if the euro appreciates, the U.S. investor gains both from the extra interest earned and from the gains both from the extra interest earned and from the appreciation of the euro. appreciation of the euro.

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8 Covered Interest Arbitrage8 Covered Interest Arbitrage Covered interest arbitrage refers to the spot purchase of the Covered interest arbitrage refers to the spot purchase of the foreign currency to make the investment and the foreign currency to make the investment and the offsetting/making simultaneous forward sale (swap) of the offsetting/making simultaneous forward sale (swap) of the foreign currency to cover the foreign exchange risk.foreign currency to cover the foreign exchange risk. To do this, the investor exchanges the domestic for the To do this, the investor exchanges the domestic for the foreign currency at the current spot rate in order to purchase foreign currency at the current spot rate in order to purchase the foreign treasury bills, and at the same time he sells forward the foreign treasury bills, and at the same time he sells forward the amount of the foreign currency he is investing plus the the amount of the foreign currency he is investing plus the interest he will earn to coincide with the maturity of the foreign interest he will earn to coincide with the maturity of the foreign investment. investment. When the bills mature, the investor can then get the domestic When the bills mature, the investor can then get the domestic currency equivalent of the foreign investment plus the interest currency equivalent of the foreign investment plus the interest earned without any risk. Since the currency with the higher earned without any risk. Since the currency with the higher interest rate is usually at a forward discount, the net return on interest rate is usually at a forward discount, the net return on the investment is roughly equal to the interest differential in the investment is roughly equal to the interest differential in favor of the foreign monetary center minus the forward favor of the foreign monetary center minus the forward discount on the foreign currency. This reduction in earnings discount on the foreign currency. This reduction in earnings can be viewed as the cost of insurance against the foreign can be viewed as the cost of insurance against the foreign exchange risk. exchange risk.

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8 Covered Interest Arbitrage8 Covered Interest Arbitrage As an illustration, let us continue the previous example where As an illustration, let us continue the previous example where the interest rate on 3-month treasury bills is 6% per year in NY the interest rate on 3-month treasury bills is 6% per year in NY and 8% in Frankfurt, and assume that the euro is at a forward and 8% in Frankfurt, and assume that the euro is at a forward discount of 1% per year. discount of 1% per year. To engage in covered interest arbitrage, the U.S. investor To engage in covered interest arbitrage, the U.S. investor exchanges dollars for euros at the current exchange rate to exchanges dollars for euros at the current exchange rate to purchase the EMU treasury bills and at the same times sells purchase the EMU treasury bills and at the same times sells forward a quantity of euros equal to the amount invested plus the forward a quantity of euros equal to the amount invested plus the interest he will earn at the prevailing forward rate. interest he will earn at the prevailing forward rate. Since the euro is at a forward discount of 1 percent per year, Since the euro is at a forward discount of 1 percent per year, he loses 1% on an annual basis on the foreign exchange he loses 1% on an annual basis on the foreign exchange transaction to cover the foreign exchange risk. The net gain is transaction to cover the foreign exchange risk. The net gain is thus the extra 2 percent interest earned minus the 1% lost on the thus the extra 2 percent interest earned minus the 1% lost on the foreign exchange transaction, or 1% on an annual basis.foreign exchange transaction, or 1% on an annual basis.

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8 Covered Interest Arbitrage8 Covered Interest Arbitrage Now the interest differential in favor of the foreign moneNow the interest differential in favor of the foreign monetary center is equal to the forward discount on the foreign tary center is equal to the forward discount on the foreign currency. currency. In the real world, a net gain of at least 1/4 of 1% per year In the real world, a net gain of at least 1/4 of 1% per year is normally required to induce funds to move internationallis normally required to induce funds to move internationally under covered interest arbitrage. Thus, in the preceding y under covered interest arbitrage. Thus, in the preceding example, the net annualized gain would be 3/4 of 1% after example, the net annualized gain would be 3/4 of 1% after considering transaction costs or 0.1875 percent for three considering transaction costs or 0.1875 percent for three months(3/4*1/4). months(3/4*1/4). If the euro is instead at a forward premium, the net gain If the euro is instead at a forward premium, the net gain to the U.S. investor will equal the extra interest earned pluto the U.S. investor will equal the extra interest earned plus the forward premium on the euro. However, as covered is the forward premium on the euro. However, as covered interest arbitrage continues, the interest differential in favonterest arbitrage continues, the interest differential in favor of Frankfurt diminishes and so does the forward premiur of Frankfurt diminishes and so does the forward premium on the euro until it becomes a forward discount and all m on the euro until it becomes a forward discount and all of the gains are once again wiped out.of the gains are once again wiped out.

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9 Covered Interest Arbitrage Parity9 Covered Interest Arbitrage Parity

What do horizontal and vertical axes indicate? And the solid diagonal line?What is point A, point A’, point B and point B’?

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9 Covered Interest Arbitrage Parity9 Covered Interest Arbitrage ParityPoints on the CIAP line indicate either that the negative interest Points on the CIAP line indicate either that the negative interest differential equals the forward discount (FD) on the foreign currdifferential equals the forward discount (FD) on the foreign currency; OR that the positive interest differential (in favor of the hoency; OR that the positive interest differential (in favor of the home monetary center) equals the forward premium (FP) on the fome monetary center) equals the forward premium (FP) on the foreign currency. This can be expressed as:reign currency. This can be expressed as:

ii -- i* = FDi* = FD if if i < i* i < i* or or i i -- i* = FPi* = FP if if i > i* i > i*But since the forward rate minus the spot rate divided by the spBut since the forward rate minus the spot rate divided by the spot rate [(FRot rate [(FR -- SR)/SR] measures the forward discount (if SR>FSR)/SR] measures the forward discount (if SR>FR) or the forward premium (if FR>SR), the foregoing condition fR) or the forward premium (if FR>SR), the foregoing condition for CIAP can be rewritten as: ior CIAP can be rewritten as: i -- i* = (FRi* = (FR -- SR)/SR SR)/SR We can now define the covered interest arbitrage margin (CIAWe can now define the covered interest arbitrage margin (CIAM) or the percentage gain from covered interest arbitrage as: CM) or the percentage gain from covered interest arbitrage as: CIAM = (iIAM = (i -- i*)i*) -- FD or FP orFD or FP orAs: As: CIAM = (iCIAM = (i -- i*)/(1 + i*)i*)/(1 + i*) -- (FR(FR -- SR)/SR SR)/SR where (1 + i*) is a weighting factor. where (1 + i*) is a weighting factor.

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9 Covered Interest Arbitrage Parity9 Covered Interest Arbitrage ParityThe interest rate on a 3-month treasury bill is 6% on an annual basis in NY and 8% in Frankfurt, while the spot rate of the euro is $1/€l and the 3-month forward rate on the euro is $0.99/€l on an annual basis. Applying the CIAM formula, we get: CIAM = (i - i*)/(1 + i*) - (FR - SR)/SR = (0.06 - 0.08)/(1 + 0.08) - ($0.99 - $1.00)/$1.00 = ( - 0.02)/1.08 - ( - $0.01)/$1.00 =- 0.01852+0.01= - 0.00852 The negative sign refers to a CIA outflow to Frankfurt. The absolute value indicates that the extra return per dollar invested in Frankfurt is 0.852% per year or 0.213 per quarter. On a $10 million investment, this means an extra return of $21,300 for the 3 month investment with the foreign exchange risk covered for 3 months. The transaction costs: If these are 1/4 of 1% per year or 1/16 of 1% per quarter, the transaction costs is (0.01/16) times $10 million, which are $6,250. Thus, the net gain is $21,300 minus $6,250, or $15,050 for the 3 months of the investment.

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10 Questions for Discussion10 Questions for Discussion What is meant by exchange rate? How is the equilibriWhat is meant by exchange rate? How is the equilibrium exchange rate determined under a flexible exhange um exchange rate determined under a flexible exhange rate system?rate system? What is cross exchange rate? What is effective exchaWhat is cross exchange rate? What is effective exchange rate?nge rate? What is spot transaction and spot rate?What is spot transaction and spot rate? What is arbitrage? What is the triangular arbitrage?What is arbitrage? What is the triangular arbitrage? What is speculation? How can speculation take place What is speculation? How can speculation take place in the spot, forward, futures or options markets?in the spot, forward, futures or options markets? What is interest arbitrage, uncovered and covered intWhat is interest arbitrage, uncovered and covered interest arbitrage?erest arbitrage?

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