INTERNATIOANAL INTERNATIOANAL FINANCE FINANCE CHAPTER 2 Exchange Rates and the Foreign Exchange Market : An Asset Approach Relative Concepts Exchange rate: 汇率 the price of one currency in terms of another Quotations Unit currency Pricing currency 直接标价法 Direct quote foreign currency domestic currency 间接标价法 Indirect quote domestic currency foreign currency Direct quote: the price of one unit foreign currency in terms of domestic currency Indirect quote: the price of one unit domestic currency in terms of foreign currency Examples Direct Quotation In Shanghai In Frankfort 美元 人民币 USD100=CHY810.565 USD1=EUR0.8245 欧元 Indirect Quotation In London 英镑 GBP1=USD1.7575 In New York USD1=EUR0.8245 Depreciation and Appreciation 贬值 与 升值 All else equal, a depreciation of a country’s ___________ currency makes its goods cheaper for foreigners. All else equal, a appreciation of a country’s ___________ currency makes its goods dearer for foreigners. Foreign Exchange Market 外汇市场 Defination: the market in which international currencies are traded. Major actors of the FX market: • Commercial bank • Corporations • Nonbank financial institutions • Central banks Framework of the Market (I) Central bank ---- Buying domestic currency with foreign currency ------A ··· ··· ··· ··· ··· ··· ··· ··· ··· ··· ··· ··· ------- buying foreign currency ------- ··· ··· N ------- banks ---- Commercial Buying foreign currency with domestic currency selling foreign currency Corporations (importors & exporters) Nonbank financial institutions Other users (eg.international tourists ) Framework of the Market (II) Central bank ---- Commercial ---- Intervenient trading ---- Interbank market or 银行间市场 Wholesale market A ··· ··· ··· ··· ··· ··· ··· ··· ··· ··· ··· N ---- ---- commercial trading ---- banks Corporations(importors & exporters) Nonbank financial institutions Other users (eg.international tourists ) Over-thecounter market or 柜台交易市场 Retail market New York London Paris Frankfort Shanghai Tokyo What’s you spot ) Buy USD1( million USD JPY, pls ? 140.20/30 OK, done. Framework of FX market (III) Singapore Hongkong Sydney Characteristics of the Market • Foreign exchange trading takes place in many financial centres. • These major forex trading centres forms a round-o’clock market as they are linked by direct phones, fax and internet. arbitrage • Most FX deals between banks involve exchanges of nondollar currencies for U.S. dollars. examples a vehical currency Spot Rates & Forward Rates 即期汇率与远期汇率 Spot Exchange Rates: Exchange rates governing such “on-thespot” trading. (two days after a deal is struck) Forward Exchange Rates: Exchange rates deals sometimes specify a value date farther away than 2days-30days , 90days,180days,or even several years. Foreign Exchange Swaps Foreign Exchange Swaps: a spot sale of a currency combined with a forward repurchase of the currency Currency Futures Futures: a future contract means a promise that a specified amount of foreign currency will be delivered on a specified date in the future Currency Options Options: gives its owner the right to buy or sell a specified amount of foreign currency at a specified price at a specified expiration date Demand for Foreign Currency Assets Asset & Asset Returns Interest Rates Exchange Rates & Asset Returns A Simple Rule Return, Risk, and Liquidity in the Foreign Exchange Market Exchange Rate & Asset Returns Rate of return: The percentage increase in value it offers over some period. Invest 100$ to buy a share of stock and the dividend is 1$. If the price rise to 109 $ or drop to 89 $. (109 +1)/100 –1 = 10% (89 + 1)/100 –1 = – 10% Expected rate of return (P.334) Equilibrium in the FX Market Interest Parity 利息平价 : The basic equilibrium condition The foreign exchange market is in equilibrium when deposits of all currencies offer the same expected rate of return. Asset Market Linkages dollar money market $ • (1+R$ ) = $f $ Spot FX market (1+R$ ) $f Ee$/€ E$/€ Future spot FX market $f / Ee$/€ = €f € • E$/€ = $ € (1+R€ ) €f Euro money market € • (1+R€ ) = €f f???€fR e=10%, e.g. e.g.R E$€$/€ = 1.2, €• E$/€ R$€$1200000=$ )/€1000000= E$ef$/€132000= = € •€f$(1+ =•(1+ 6%, 1000000= =1.245, ? €) $/€ f10 6000 $€1200000 $f1000000×(1+ 132000/1.245=6%)= 1000000×1.2×(1+10%)/1.245=1000000×(1+ 6%) €€1000000×1.2= $1200000×(1+10%)=$ €ff10 1320000 60000 Derivation of Interest Parity Condition e • (1+R ) /E € • E利息平价条件 $ $/€ = € • (1+R€ ) $/€ e f (1+R$ ) $ $ E$/€ (1+R$ ) / E $/€ = (1+R€ ) Interest Parity Condition e )/(1+R ) E$/€E$/€ +E=$/€E•e$/€ R$ (1+ = EeR +E $/€€ $/€ •$ R€ e (E -E$/€ )/ E$/€ = eeRe $ -R€ e $/€ )/ e e e E $/€ (E(E E-E-E-E E$/€ =E E=R • R$€-(E -E$/€ •RR$/€ E$/€$/€• R€ )/E -R $/€ $/€$=R $-E $/€•-E € €/ )/E $/€$/€$/€$/€$/€$/€$/€ $/€ ________________ or ∵ (Ee$/€ -E$/€ )/ E$/€ • R€ is a small number e R = R +(E -E$/€ )/ E$/€ $ € $/€ f € ∴ (Ee -E )/ E = R -R (1+R€ ) € or $/€ $/€ $/€ $ € • The change in the expected future exchange rate is roughly e = R€ +(Ebetween interestrates. parity condition ) $/€ -E$/€ )/ equal to theR$difference theE$/€ two(interest • The expected rate of return on one asset must equal that of the other asset when measured in the same currency. Forward Exchange Rates & Covered Interest Parity $ E$/€ € (1+R$ ) 远期汇率与抵补的利息平价 f $ Let Ee$/€ =Ef$/€ , expected future FX market f f Parity Covered Interest • (1+R ) € • E /E ==€(1+R • (1+R ) E (1+R ) $ $/€ $/€$/€ is seen as forward$ FX/ Emarket. € )€ $/€ ff+E=E f= R f (E -E$/€ )/ E -R E • (1+ R )/(1+R E • R = E +E $/€ $/€ $/€ $ € €• )R€ f $/€ $ $/€ $/€ $ $/€ $/€ e E E $/€ $/€ f fIf f -E f >f E E -E =E • R -E •R or (E R -E > R )/ E , then =R E • R ;/€ E$/€• R $/€$ $/€ $/€€ $/€$/€ $ $$/€ $/€ f f $/€ $/€ $/€ €)/E (E $/€ -E$/€ )/E$/€=R$-R€-(E -E $/€ $/€ $/€ € ________________ f f If R = R , then E $/€ )/ = E$/€ R = R +(E $ € $/€ ; $ € $/€ -E$/€ f € (1+R€ ) ∵ (Ef$/€ If -ER$/€f$ <)/ R E$/€ •then R€ Eisf $/€ a small number , . € (E $/€ -E$/€ )/ E$/€ = R$<-ER$/€ € f ∴ (E $/€ -E$/€ )/ E$/€ = R$ -Rrate or at a € • The currency with a lowerer interest sells Let P stand for premium , then P = R$ – R€ . f R$ =in R€the +(E E$/€ ( covered interest parity ) premium forward market. 升水$/€ -E$/€ )/exchange , then D=–P = R€ – R with a higher interest rate Let●DThe standcurrency for discount $ . sells at a discount in贴水 the forward exchange market. How changes in E affect expected returns (I) R$= R€ + (Ee$/€- E$/€)/ E$/€ Expected dollar return on euro deposits R€ + (Ee$/€/ E$/€ -1) current depreciation R$> R€ + (Ee$/€- E$/€)/ E$/€ capital inflow E$/€ Dollar appreciates. R$= R€ + (Ee$/€- E$/€)/ E$/€ Expected dollar return Interest parity condition holds again. How changes in E affect expected returns (II) > R€ + (Ee$/€/ E$/€ - 1) R$ = Other things equal , depreciation of a country’s currency today lowers the expected domestic currency return on foreign currency deposits. R$ <= R€ + (Ee$/€/ E$/€ - 1) Other things equal , appreciation of a country’s currency today raises the expected domestic currency return on foreign currency deposits. How changes in E affect expected returns (III) Figure 13-3 The Relation Between the Current E $/€ and the Expected Dollar Return on Euro Deposits Today's E $/€ E 2 E 1 E $/€ $/€ 3 $/€ 2 1 3 Excepted return on euro return Rates of return (in dollar terms) With fixed Ee$/€ and R€, the relation between today’s E$/€ and the expected dollar return on euro deposits defines a download-sloping schedule. How changes in E affect expected returns (IV) Figure 13-3 The Relation Between the Current E $/€ and the Expected Dollar Return on Euro Deposits Today's E $/€ E $/€ 1 2 E $/€ $/€ Excepted return on euro return Rates of return (in dollar terms) Given Ee$/€ and R€ , an appreciation of the dollar against the euro deposits, measured in terms of dollars, and vice versa. The Equilibrium Exchange Rate Figure 13-4 Determination of the Equilibrium Dollar/Euro Exchange Rate Exchange rate, E $/€ Return on dollar deposits E 2 $/€ 2 E 1 $/€ E 3 R$= R€ + (Ee$/€- E$/€)/ E$/€ 1 $/€ 3 R$ Excepted return on euro return Rates of return (in dollar terms) Equilibrium in the FX market is at point 1, where the expected dollar return on dollar and euro deposits are equal. Interest Rates, Expectations & Equilibrium (I) Figure 13-5 Effect of a Rise in the Dollar Interest Rate The Effect of Changing Interest Rates on the Current Exchange Rate Exchange Dollar return rate,E $/€ R$ 1 E 1 $/€ 1' 2 E 2 $/€ Excepted euro return Conclusion: R 1 $ R 2 $ Rates of return (in dollar terms) All else equal, an increase in the interest paid on deposits of a currency causes that currency to appreciate against foreign currency, and vice versa. Interest Rates, Expectations & Equilibrium (II) 18 Figure 13-6 Effect of a rise in the Euro Interest Rate Exchange rate E $/€ The Effect of Changing Interest Rates on the Current Exchange Rate E 2 Rise in R€ 2 $/€ E 1 $/€ 1 Excepted euro return R€ Conclusion: Rates of return (in dollar terms) All else equal, a rise in the foreign interest rate causes the domestic currency to depreciate against the foreign currency, and vice versa. Interest Rates, Expectations & Equilibrium (III) Figure 13-7 Effect of a rise in expected future exchange rate Exchange rate E $/€ The Effect of Changing expectations on the Current Exchange Rate E e $/€ E 2 E 1 $/€ 2 $/€ 1 Excepted euro return Conclusion: Rates of return (in dollar terms) All else equal ,a rise in the expected future exchange rate causes a rise in the current exchange rate, and vice versa. Interest Rates, Expectations & Equilibrium (IV) Figure 13-7 Effect of a change in the dollar or euro Interest Rate Exchange rate E $/€ R$ R€ E e $/€ E 12 $/€ 12 Excepted euro return Rates of return (in dollar terms) increase in foreign the interest paid on deposits of All else else equal, equal, a rise in the interest rate causesrate equal an ,a expected future exchange a the currency that to appreciate foreign domestic currency to depreciate against thevice foreign causes a causes rise in the currency current exchange rate,against and versa. currency, andand vice versa. currency, vice versa. Question Thanks