The Market for Foreign Exchange



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INTERNATIONAL FINANCIAL MANAGEMENT Fourth Edition EUN / RESNICK 5-0 The Market for Foreign Exchange Chapter Objectives: 5-1 5 Chapter Five INTERNATIONAL FINANCIAL MANAGEMENT This chapter serves to introduce the student to the institutional framework within which exchange rates are determined. Fourth Edition This chapter lays the foundation for much EUN / RESNICK of the discussion throughout the remainder of the text, thus it deserves your careful attention. 1

Chapter Outline Function and Structure of the FX Market The FX Spot Market Market Participants Correspondent Spot Rate Quotations Banking Relationships The Forward Market The The Forward Spot Bid-Ask Market Rate Spread Quotations The Spot Long Forward FX and Trading Short Market Forward Positions Cross Forward Exchange Cross-Exchange Rate Quotations Rates Triangular Swap Transactions Arbitrage Spot Forward Foreign Premium Exchange Market Microstructure The Forward Market 5-2 The Function and Structure of the FX Market FX Market Participants Correspondent Banking Relationships 5-3 2

FX Market Participants The FX market is a two-tiered market: Interbank Market (Wholesale) About 700 banks worldwide stand ready to make a market in foreign exchange. Nonbank dealers account for about 20% of the market. There are FX brokers who match buy and sell orders but do not carry inventory and FX specialists. Client Market (Retail) Market participants include international banks, their customers, nonbank dealers, FX brokers, and central banks. 5-4 Circadian Rhythms of the FX Market Electronic Conversations per Hour 45000 40000 35000 30000 25000 20000 15000 10000 5000 0 1:00 10 am in Tokyo 3:00 Lunch hour in Tokyo 5:00 Europe coming in 7:00 9:00 Asia going out average 11:00 Lunch hour in London peak 1:00 Americas coming in 15:00 5:00 London going out 19:00 9:00 New Zealand coming in 11:00 6 pm in NY 5-5 3

Correspondent Banking Relationships Large commercial banks maintain demand deposit accounts with one another which facilitates the efficient functioning of the FX market. 5-6 Correspondent Banking Relationships Bank A is in London, Bank B is in New York. The current exchange rate is 1.00 = $2.00. A currency trader employed at Bank A buys 100m from a currency trader at Bank B for $200m settled using its correspondent relationship. Bank A London 100 $200 Bank B NYC 5-7 4

Correspondent Banking Relationships Bank A London 100 $200 Bank B NYC Assets Liabilities Assets Liabilities deposit at B 300m B s Deposit $1,000m $ deposit at A $1000m A s Deposit 300m 400m $1,200m $1200m 400m $ deposit at B $800m B s Deposit 200m deposit at A 200m A s Deposit $800m $600m 100m 100m $600m Other Assets 600m Other L&E 600m Other Assets $800m Other L&E $800m Total Assets 1,300m Total L&E 1,300m Total Assets $2,200m Total L&E $2,200m 5-8 Correspondent Banking Relationships International commercial banks communicate with one another with: SWIFT: The Society for Worldwide Interbank Financial Telecommunications. CHIPS: Clearing House Interbank Payments System ECHO Exchange Clearing House Limited, the first global clearinghouse for settling interbank FX transactions. 5-9 5

The Spot Market Spot Rate Quotations The Bid-Ask Spread Spot FX trading Cross Rates 5-10 Spot Rate Quotations Direct quotation the U.S. dollar equivalent e.g. a Japanese Yen is worth about a penny Indirect Quotation the price of a U.S. dollar in the foreign currency e.g. you get 100 yen to the dollar See the insert card from your textbook. 5-11 6

Spot Rate Quotations Country USD equiv Friday USD equiv Thursday Currency per USD Friday Currency per USD Thursday Argentina (Peso) 0.3309 0.3292 3.0221 3.0377 Australia (Dollar) 0.7830 0.7836 1.2771 1.2762 Brazil (Real) 0.3735 0.3791 2.6774 2.6378 Britain (Pound) 1.9077 1.9135 0.5242 0.5226 1 Month Forward 1.9044 1.9101 0.5251 0.5235 3 Months Forward 1.8983 1.9038 0.5268 0.5253 6 Months Forward 1.8904 1.8959 0.5290 0.5275 Canada (Dollar) 0.8037 0.8068 1.2442 1.2395 1 Month Forward 0.8037 0.8069 1.2442 1.2393 3 Months Forward 0.8043 0.8074 1.2433 1.2385 6 Months Forward 0.8057 0.8088 1.2412 1.2364 5-12 Spot Rate Quotations Country USD equiv Friday USD equiv Thursday Currency per USD Friday Currency per USD Thursday Argentina (Peso) 0.3309 0.3292 3.0221 3.0377 Australia (Dollar) Brazil (Real) Britain (Pound) 1 Month Forward 3 Months Forward 6 Months Forward 0.7830 0.3735 1.9077 1.9044 1.8983 1.8904 0.7836 0.3791 1.9135 1.9101 1.9038 1.8959 1.2771 2.6774 0.5242 0.5251 0.5268 0.5290 1.2762 2.6378 0.5226 0.5235 0.5253 0.5275 The direct quote for British pound is: Canada (Dollar) 1 Month Forward 0.8037 0.8037 0.8068 0.8069 1.2442 1.2442 1.2395 1.2393 1 = $1.9077 3 Months Forward 0.8043 0.8074 1.2433 1.2385 6 Months Forward 0.8057 0.8088 1.2412 1.2364 5-13 7

Spot Rate Quotations Country Argentina (Peso) Australia (Dollar) Brazil (Real) Britain (Pound) USD equiv Friday 0.3309 0.7830 0.3735 1.9077 USD equiv Thursday 0.3292 0.7836 0.3791 1.9135 Currency per USD Friday 3.0221 1.2771 2.6774 0.5242 Currency per USD Thursday 3.0377 1.2762 2.6378 0.5226 The indirect quote for British pound is: 1 Month Forward 3 Months Forward 1.9044 1.8983 1.9101 1.9038 0.5251 0.5268 0.5235 0.5253.5242 = $1 6 Months Forward 1.8904 1.8959 0.5290 0.5275 Canada (Dollar) 0.8037 0.8068 1.2442 1.2395 1 Month Forward 0.8037 0.8069 1.2442 1.2393 3 Months Forward 0.8043 0.8074 1.2433 1.2385 6 Months Forward 0.8057 0.8088 1.2412 1.2364 5-14 Spot Rate Quotations Country Argentina (Peso) Australia (Dollar) Brazil (Real) Britain (Pound) 1 Month Forward 3 Months Forward 6 Months Forward Canada (Dollar) 1 Month Forward 3 Months Forward USD equiv Friday 0.3309 0.7830 0.3735 1.9077 1.9044 1.8983 1.8904 0.8037 0.8037 0.8043 USD equiv Thursday 0.3292 0.7836 0.3791 1.9135 1.9101 1.9038 1.8959 0.8068 0.8069 0.8074 Currency per USD Friday 3.0221 1.2771 2.6774 0.5242 0.5251 0.5268 0.5290 1.2442 1.2442 1.2433 Currency per USD Thursday 3.0377 1.2762 2.6378 0.5226 0.5235 0.5253 0.5275 1.2395 1.2393 1.2385 Note that the direct quote is the reciprocal of the indirect quote: 1.9077 = 1.5242 6 Months Forward 0.8057 0.8088 1.2412 1.2364 5-15 8

The Bid-Ask Spread The bid price is the price a dealer is willing to pay you for something. The ask price is the amount the dealer wants you to pay for the thing. The bid-ask spread is the difference between the bid and ask prices. 5-16 The Bid-Ask Spread A dealer could offer bid price of $1.25 per ask price of $1.26 per While there are a variety of ways to quote that, The bid-ask spread represents the dealer s expected profit. 5-17 9

The Bid-Ask Spread big figure S($/ ) S( /$) Bid 1.9072.5242 small figure Ask 1.9077.5243 A dealer would likely quote these prices as 72-77. It is presumed that anyone trading $10m already knows the big figure. 5-18 Spot FX trading In the interbank market, the standard size trade is about U.S. $10 million. A bank trading room is a noisy, active place. The stakes are high. The long term is about 10 minutes. 5-19 10

Cross Rates Suppose that S($/ ) = 1.50 5-20 i.e. $1.50 = 1.00 and that S( / ) = 50 i.e. 1.00 = 50 What must the $/ cross rate be? $1.50 1.00 1.00 50 = $1.50 50 $1.00 = 33.33 $0.0300 = 1 Triangular Arbitrage Suppose we observe these banks posting these exchange rates. Barclays S( /$)=120 $ Credit Lyonnais S( /$)=1.50 First calculate any Credit Agricole implied cross rate S( / )=85 to see if an arbitrage exists. 1.50 $1.00 1.00 = $1.00 120 80 5-21 11

Triangular Arbitrage The implied S( / ) cross rate is 1.50 $1.00 $1.00 120 Credit Agricole has posted a quote of S( / )=85 so there is an arbitrage opportunity. 5-22 = 1.00 80 Barclays S( /$)=120 $ Credit Lyonnais Credit Agricole S( / )=85 S( /$)=1.50 So, how can we make money? Buy the @ 80; sell @ 85. Then trade yen for your preferred currency. Triangular Arbitrage As easy as 1 2 3: 1. Sell our $ for, 2. Sell our for, 3. Sell those for $. $ Barclays Credit Lyonnais S( /$)=120 3 1 S( /$)=1.50 2 Credit Agricole S( / )=85 5-23 12

Triangular Arbitrage Sell $100,000 for at S( /$) = 1.50 receive 150,000 Sell our 150,000 for at S( / ) = 85 receive 12,750,000 Sell 12,750,000 for $ at S( /$) = 120 receive $106,250 profit per round trip = $106,250 $100,000 = $6,250 5-24 Triangular Arbitrage Here we have to go clockwise to make money but it doesn t matter where we start. $ Barclays S( /$)=120 2 3 Credit Lyonnais S( /$)=1.50 1 Credit Agricole S( / )=85 If we went counter clockwise we would be the source of arbitrage profits, not the recipient! 5-25 13

Spot Foreign Exchange Microstructure Market Microstructure refers to the mechanics of how a marketplace operates. Bid-Ask spreads in the spot FX market: increase with FX exchange rate volatility and decrease with dealer competition. Private information is an important determinant of spot exchange rates. 5-26 The Forward Market Forward Rate Quotations Long and Short Forward Positions Forward Cross Exchange Rates Swap Transactions Forward Premium 5-27 14

The Forward Market A forward contract is an agreement to buy or sell an asset in the future at prices agreed upon today. If you have ever had to order an out-of-stock textbook, then you have entered into a forward contract. 5-28 Forward Rate Quotations The forward market for FX involves agreements to buy and sell foreign currencies in the future at prices agreed upon today. Bank quotes for 1, 3, 6, 9, and 12 month maturities are readily available for forward contracts. Longer-term swaps are available. 5-29 15

Forward Rate Quotations Consider the example from above: for British pounds, the spot rate is $1.9077 = 1.00 While the 180-day forward rate is $1.8904 = 1.00 What s up with that? 5-30 Spot Rate Quotations Country Argentina (Peso) Australia (Dollar) Brazil (Real) Britain (Pound) 1 Month Forward 3 Months Forward 6 Months Forward Canada (Dollar) 1 Month Forward 3 Months Forward 6 Months Forward USD equiv Friday 0.3309 0.7830 0.3735 1.9077 1.9044 1.8983 1.8904 0.8037 0.8037 0.8043 0.8057 USD equiv Thursday 0.3292 0.7836 0.3791 1.9135 1.9101 1.9038 1.8959 0.8068 0.8069 0.8074 0.8088 Currency per USD Friday 3.0221 1.2771 2.6774 0.5242 0.5251 0.5268 0.5290 1.2442 1.2442 1.2433 1.2412 Currency per USD Thursday 3.0377 1.2762 2.6378 0.5226 0.5235 0.5253 0.5275 1.2395 1.2393 1.2385 1.2364 Clearly the market participants expect that the pound will be worth less in dollars in six months. 5-31 16

Forward Rate Quotations Consider the (dollar) holding period return of a dollar-based investor who buys 1 million at the spot and sells them forward: $HPR= gain pain $1,890,400 $1,907,700 = $1,907,700 = $17,300 $1,907,700 $HPR = 0.0091 Annualized dollar HPR = 1.81% = 0.91% 2 5-32 Forward Premium The interest rate differential implied by forward premium or discount. For example, suppose the is appreciating from S($/ ) = 1.25 to F 180 ($/ ) = 1.30 The 180-day forward premium is given by: f 180, v$ F 180 ($/ ) S($/ ) = S($/ ) 360 180 = 1.30 1.25 1.25 2 = 0.08 5-33 17

Long and Short Forward Positions If you have agreed to sell anything (spot or forward), you are short. If you have agreed to buy anything (forward or spot), you are long. If you have agreed to sell FX forward, you are short. If you have agreed to buy FX forward, you are long. 5-34 Payoff Profiles profit If you agree to sell anything in the future at a set price and the spot price later falls then you gain. 5-35 0 loss F 180 ($/ ) =.009524 If you agree to sell anything in the future at a set price and the spot price later rises then you lose. S 180 ($/ ) Short position 18

Payoff Profiles profit short position Whether the payoff profile slopes up or down depends 0 S 180 ( /$) upon whether F 180 ( /$) = 105 you use the direct or indirect quote: -F 180 ( /$) loss 5-36 F 180 ( /$) = 105 or F 180 ($/ ) =.009524. Payoff Profiles profit short position 0 -F 180 ( /$) loss 5-37 F 180 ( /$) = 105 S 180 ( /$) When the short entered into this forward contract, he agreed to sell in 180 days at F 180 ( /$) = 105 19

Payoff Profiles profit short position 15 0 -F 180 ( /$) loss 5-38 S 180 ( /$) 120 F 180 ( /$) = 105 If, in 180 days, S 180 ( /$) = 120, the short will make a profit by buying at S 180 ( /$) = 120 and delivering at F 180 ( /$) = 105. Payoff Profiles profit F 180 ( /$) Since this is a zero-sum game, the long position payoff is the opposite of the short. short position 0 F 180 ( /$) = 105 S 180 ( /$) -F 180 ( /$) loss 5-39 Long position 20

Payoff Profiles profit -F 180 ( /$) 5-40 0 15 loss The long in this forward contract agreed to BUY in 180 days at F 180 ( /$) = 105 If, in 180 days, S 180 ( /$) = 120, the long will lose by having to buy at S 180 ( /$) = 120 and delivering at F 180 ( /$) = 105. F 180 ( /$) = 105 120 S 180 ( /$) Long position Forward Cross Exchange Rates It s just an delayed example of the spot cross rate discussed above. In generic terms F FN ( j / k) = F and F N F ( k / j) = F N N N N ($ / k) ($ / j) ($ / j) ($ / k) Notice that the $ s cancel. 5-41 21

Forward Cross Exchange Rates Country Argentina (Peso) Australia (Dollar) Brazil (Real) USD equiv Friday 0.3309 0.7830 0.3735 USD equiv Thursday 0.3292 0.7836 0.3791 Currency per USD Friday 3.0221 1.2771 2.6774 The forward pound-canadian dollar cross rate Britain (Pound) 1 Month Forward 3 Months Forward 6 Months Forward 1.9077 1.9044 1.8983 1.8904 1.9135 1.9101 1.9038 1.8959 0.5242 0.5251 0.5268 0.5290 GBP1.00 USD1.8904 USD1.00 CAD1.2412 Canada (Dollar) 1 Month Forward 3 Months Forward 6 Months Forward 0.8037 0.8037 0.8043 0.8057 0.8068 0.8069 0.8074 0.8088 1.2442 1.2442 1.2433 1.2412 = GBP1.00 CAD2.3464 5-42 Currency Symbols In addition to the familiar currency symbols (e.g.,,, $) there are three-letter codes for all currencies. It is a long list, but selected codes include: CHF Swiss francs GBP British pound ZAR South African rand CAD Canadian dollar JPY Japanese yen 5-43 22

SWAPS A swap is an agreement to provide a counterparty with something he wants in exchange for something that you want. Often on a recurring basis e.g. every six months for five years. Swap transactions account for approximately 56 percent of interbank FX trading, whereas outright trades are 11 percent. Swaps are covered fully in chapter 14. 5-44 Summary Spot rate quotations Direct and indirect quotes Bid and ask prices Cross Rates Triangular arbitrage Forward Rate Quotations Forward premium (discount) Forward points 5-45 23

Practice Problem The current spot exchange rate is $1.55/ and the threemonth forward rate is $1.50/. Based on your analysis of the exchange rate, you are confident that the spot exchange rate will be $1.52/ in three months. Assume that you would like to buy or sell 1,000,000. a. What actions do you need to take to speculate in the forward market? What is the expected dollar profit from speculation? b. What would be your speculative profit in dollar terms if the spot exchange rate actually turns out to be $1.46/? c. Graph your results. 5-46 Solution a. If you believe the spot exchange rate will be $1.52/ in three months, you should buy 1,000,000 forward for $1.50/. Your expected profit will be: $20,000 = 1,000,000 ($1.52 $1.50) b. If the spot exchange rate actually turns out to be $1.46/ in three months, your loss from the long position will be: $40,000 = 1,000,000 ($1.46 $1.50) 5-47 24

Solution profit $20k 0 S 180 ( /$) 1.46 1.52 F 180 ( /$) = 1.50 $40k 5-48 loss End Chapter Five 5-49 25