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Faculty of Commerce
Department of Business
Administration
Exchange rate
Working paper
Submitted by
Mohamed Ahmed Mohamed Awad
Supervised By
Prof. Dr. Nadya Abo-fkhra
Professor of Business Administration
Faculty of Commerce – Ain Shams University
2013
1
2
♦ Exchange Rates (Ross, et al, 2003)
An exchange rate is the price of one country’s currency for
another’s. In practice, almost all trading of currencies takes place in terms
of the U.S. dollar. For example, both the German deutschemark and the
British pound will be traded with their price quoted in U.S. dollars. If the
quoted price is the price in dollars of a unit of foreign exchange, the
quotation is said to be in direct (or American) terms. For example,
$1.50=£1 and $0.40 =DM1 are in direct terms. The financial press
frequently quotes the foreign currency price of a U.S. dollar. If the quoted
price is the foreign currency price of a U.S. dollar, the quotation is
indirect (or European). For example,£0.67=$1 and DM2.5=$1.
(Ross,2004)
We refer to a decrease in the value of a currency as a depreciation
and an increase as an appreciation. In fixed exchange rate regimes, where
the changes reflect policy, the analogous terms are devaluation and
revaluation.
3
♦ Factors that Affect Foreign Exchange Rates (Karen A. Horcher,
2005)
Foreign exchange rates are determined by supply and demand for
currencies. Supply and demand, in turn, are influenced by factors in the
economy, foreign trade, and the activities of international investors.
Capital flows, given their size and mobility, are of great importance in
determining exchange rates.
Factors that influence the level of interest rates also influence
exchange rates among floating or market-determined currencies.
Currencies are very sensitive to changes or anticipated changes in interest
rates and to sovereign risk factors. Some of the key drivers that affect
exchange rates include:
• Interest rate differentials net of expected inflation
• Trading activity in other currencies
• International capital and trade flows
• International institutional investor sentiment
• Financial and political stability
• Monetary policy and the central bank
• Domestic debt levels (e.g., debt-to-GDP ratio)
• Economic fundamentals
4
♦ Types of Transactions (Ross, et al, 2003)
Thire are Three types of trades take place in the foreign exchange
market:
1. Spot.
2. forward.
3. swap.
Spot trades involve an agreement on the exchange rate today for
settlement in two days. The rate is called the spot-exchange rate.
Forward trades involve an agreement on exchange rates today for
settlement in the future. The rate is called the forward-exchange rate. The
maturities for forward trades are usually 1 to 52 weeks.
A swap is the sale (purchase) of a foreign currency with a
simultaneous agreement to repurchase (resell) it sometime in the future.
The difference between the sale price and the repurchase price is called
the swap rate.
5
♦ Interest Rate Parity
Interest rate parity (IRP) is an arbitrage condition that must hold
when international financial markets are in equilibrium. Suppose that you
have $1 to invest over, say, a one-year period. Consider two alternative
ways of investing your fund: (1) invest domestically at the U.S. interest
rate, or, alternatively, (2) invest in a foreign country, say, the U.K., at the
foreign interest rate and hedge the exchange risk by selling the maturity
value of the foreign investment forward. It is assumed here that you want
to consider only default-free investments.
If you invest $1 domestically at the U.S. interest rate (i$), the
maturity value will be
$1(1 + i$)
Since you are assumed to invest in a default-free instrument like a
U.S. Treasury note, there is no uncertainty about the future maturity value
of your investment in dollar terms. To invest in the U.K., on the other
hand, you carry out the following sequence of transactions:
1. Exchange $1 for a pound amount, that is, £(1/S), at the
prevailing spot exchange rate (S).
2. Invest the pound amount at the U.K. interest rate (i£), with the
maturity value of £(1/S)(1+ i£).
6
3. Sell the maturity value of the U.K. investment forward in
exchange for a predetermined dollar amount, that is, $[(1/S)(1 + i£)]F,
where F denotes the forward exchange rate.
Two things are noteworthy First, the net cash flow at the time of
investment is zero. This, of course, implies that the arbitrage portfolio is
indeed fully self-financing; it doesn’t cost any money to hold this
portfolio. Second, the net cash flow on the maturity date is known with
certainty. That is so because none of the variables involved in the net cash
flow, that is, S, F, i$, and i£, is uncertain. Since no one should be able to
make certain profits by holding this arbitrage portfolio, market
equilibrium requires that the net cash flow on the maturity date be zero
for this portfolio:
(1 + i£)F- (1 +i$)S= 0
The IRP relationship is often approximated as follows:
(i$ - i£) = (F - S)/S
As can be seen clearly, IRP provides a linkage between interest
rates in two different countries. Specifically, the interest rate will be
higher in the United States than in the U.K. when the dollar is at a
forward discount, that is, F > S. Recall that the exchange rates, S and F,
represent the dollar prices of one unit of foreign currency.
When the dollar is at a forward discount, this implies that the dollar
is expected to depreciate against the pound. If so, the U.S. interest rate
7
should be higher than the U.K. interest rate to compensate for the
expected depreciation of the dollar. Otherwise, nobody would hold
dollar-denominated securities. On the other hand, the U.S. interest rate
will be lower than the U.K. interest rate when the dollar is at a forward
premium, that is, F < S. also can indicates that the forward exchange rate
will deviate from the spot rate as long as the interest rates of the two
countries are not the same.
When IRP holds, you will be indifferent between investing your
money in the United States and investing in the U.K. with forward
hedging. However, if IRP is violated, you will prefer one to another. You
will be better off by investing in the United States (U.K.) if (1 + i$) is
greater (less) than (F/S)(1 + i£). When you need to borrow, on the other
hand, you will choose to borrow where the dollar interest is lower.
8
♦ Theories of Exchange Rate Determination (Karen A. Horcher,
2005)
Several theories have been advanced to explain how exchange rates
are determined:
• Purchasing power parity, based in part on “the law of one
price,” suggests that exchange rates are in equilibrium when the prices of
goods and services (excluding mobility and other issues) in different
countries are the same. If local prices increase more than prices in another
country for the same product, the local currency would be expected to
decline in value vis-à-vis its foreign counterpart, presuming no change in
the structural relationship between the countries.
• The balance of payments approach suggests that exchange
rates result from trade and capital transactions that, in turn, affect the
balance of payments. The equilibrium exchange rate is reached when
both internal and external pressures are in equilibrium.
• The monetary approach suggests that exchange rates are
determined by a balance between the supply of, and demand for, money.
When the money supply in one country increases compared with its
trading partners, prices should rise and the currency should depreciate.
• The asset approach suggests that currency holdings by foreign
investors are chosen based on factors such as real interest rates, as
compared with other countries.
9
Let us explore the previous theories At the following
The cross rate is the exchange rate between two foreign
currencies, generally neither of which is the U.S. dollar. The dollar,
however, is used as an interim step in determining the cross rate. For
example, if an investor wants to sell Japanese yen and buy Swiss francs,
he would sell yen against dollars and then buy francs with those dollars.
So, although the transaction is designed to be yen for francs, the dollar’s
exchange rate serves as a benchmark.
The cross-exchange rate can be calculated from the U.S. dollar
exchange rates for the two currencies, using either European or American
term quotations. For example, the €/£ cross-rate can be calculated from
American term quotations as follows:
Real exchange rates . You'll see this term, too, but what does it
mean? By convention, the real exchange rate between (say) the US and
Europe is the relative price of a basket of goods. If (P) is the US CPI in
dollars,(P* is the European CPI in euros , and (e) is the dollar price of o
10
ne euro (the nominal exchange rate), then the (CPI-based) real exchange
rate between the US and the Euro Zone is
the ratio of the price of Euro goods to US goods, with both
expressed in the same units (here dollars). (Note: asterisks are commonly
used to denote foreign values).
11
The international monetary system went through several distinct
stages of evolution. (Eun, Resnick, 2004)
These stages are summarized as follows:
1. Bimetallism: Before 1875.
2. Classical gold standard: 1875–1914.
3. Interwar period: 1915–1944.
4. Bretton Woods system: 1945–1972.
5. Flexible exchange rate regime: Since 1973.
We now examine each of the five stages in some detail.
Bimetallism: Before 1875
Prior to the 1870s, many countries had bimetallism, that is, a
double standard in that free coinage was maintained for both gold and
silver. In Great Britain, for example, bimetallism was maintained until
1816 (after the conclusion of the Napoleonic Wars) when Parliament
passed a law maintaining free coinage of gold only, abolishing the free
coinage of silver. In the United States, bimetallism was adopted by the
Coinage Act of 1792 and remained a legal standard until 1873, when
Congress dropped the silver dollar from the list of coins to be minted.
France, on the other hand, introduced and maintained its bimetallism
from the French Revolution to 1878. Some other countries such as China,
India, Germany, and Holland were on the silver standard.
12
The international monetary system before the 1870s can be
characterized as “bimetallism” in the sense that both gold and silver were
used as international means of payment and that the exchange rates
among currencies were determined by either their gold or silver
contents.1 Around 1870, for example, the exchange rate between the
British pound, which was fully on a gold standard, and the French franc,
which was officially on a bimetallic standard, was determined by the gold
content of the two currencies. On the other hand, the exchange rate
between the franc and the German mark, which was on a silver standard,
was determined by the silver content of the currencies. The exchange rate
between the pound and the mark was determined by their exchange rates
against the franc. It is also worth noting that, due to various wars and
political upheavals, some major countries such as the United States,
Russia, and Austria-Hungary had irredeemable currencies at one time or
another during the period 1848–79. One might say that the international
monetary system was less than fully systematic up until the 1870s.
Countries that were on the bimetallic standard often experienced
the well-known phenomenon referred to as Gresham’s law. Since the
exchange ratio between the two metals was fixed officially, only the
abundant metal was used as money, driving more scarce metal out of
circulation. This is Gresham’s law, according to which “bad” (abundant)
money drives out “good” (scarce) money. For example, when gold from
13
newly discovered mines in California and Australia poured into the
market in the 1850s, the value of gold became depressed, causing
overvaluation of gold under the French official ratio, which equated a
gold franc to a silver franc 151⁄2 times as heavy. As a result, the franc
effectively became a gold currency.
Classical Gold Standard: 1875–1914
Mankind’s fondness for gold as a storage of wealth and means of
exchange dates back to antiquity and was shared widely by diverse
civilizations. Christopher Columbus once said, “Gold constitutes treasure,
and he who possesses it has all he needs in this world.” The first full-
fledged gold standard, however, was not established until 1821 in Great
Britain, when notes from the Bank of England were made fully
redeemable for gold. As previously mentioned, France was effectively on
the gold standard beginning in the 1850s and formally adopted the
standard in 1878. The newly emergent German empire, which was to
receive a sizable war indemnity from France, converted to the gold
standard in 1875, discontinuing free coinage of silver. The United States
adopted the gold standard in 1879, Russia and Japan in 1897.
One can say roughly that the international gold standard existed as
a historical reality during the period 1875–1914. The majority of
countries got off gold in 1914 when World War I broke out. The classical
14
gold standard as an international monetary system thus lasted for about
40 years. During this period, London became the center of the
international financial system, reflecting Britain’s advanced economy and
its preeminent position in international trade.
An international gold standard can be said to exist when, in most
major countries, (1) gold alone is assured of unrestricted coinage, (2)
there is two-way convertibility between gold and national currencies at a
stable ratio, and (3) gold may be freely exported or imported. In order to
support unrestricted convertibility into gold, banknotes need to be backed
by a gold reserve of a minimum stated ratio. In addition, the domestic
money stock should rise and fall as gold flows in and out of the country.
The above conditions were roughly met between 1875 and 1914.
Under the gold standard, the exchange rate between any two
currencies will be determined by their gold content. For example, suppose
that the pound is pegged to gold at six pounds per ounce, whereas one
ounce of gold is worth 12 francs. The exchange rate between the pound
and the franc should then be two francs per pound. To the extent that the
pound and the franc remain pegged to gold at given prices, the exchange
rate between the two currencies will remain stable. There were indeed no
significant changes in exchange rates among the currencies of such major
countries as Great Britain, France, Germany, and the United States during
the entire period. Highly stable exchange rates under the classical gold
15
standard provided an environment that was conducive to international
trade and investment.
The gold standard, however, has a few key shortcomings. First of
all, the supply of newly minted gold is so restricted that the growth of
world trade and investment can be seriously hampered for the lack of
sufficient monetary reserves. The world economy can face deflationary
pressures. Second, whenever the government finds it politically necessary
to pursue national objectives that are inconsistent with maintaining the
gold standard, it can abandon the gold standard. In other words, the
international gold standard per se has no mechanism to compel each
major country to abide by the rules of the game. For such reasons, it is
not very likely that the classical gold standard will be restored in the
foreseeable future .
Interwar Period: 1915–1944
World War I ended the classical gold standard in August 1914, as
major countries such as Great Britain, France, Germany, and Russia
suspended redemption of banknotes in gold and imposed embargoes on
gold exports. After the war, many countries, especially Germany, Austria,
Hungary, Poland, and Russia, suffered hyperinflation. The German
experience provides a classic example of hyperinflation: By the end of
1923, the wholesale price index in Germany was more than 1 trillion
16
times as high as the prewar level. Freed from wartime pegging, exchange
rates among currencies were fluctuating in the early 1920s. During this
period, countries widely used “predatory” depreciations of their
currencies as a means of gaining advantages in the world export market.
As major countries began to recover from the war and stabilize
their economies, they attempted to restore the gold standard. The United
States, which replaced Great Britain as the dominant financial power,
spearheaded efforts to restore the gold standard. With only mild inflation,
the United States was able to lift restrictions on gold exports and return to
a gold standard in 1919. In Great Britain, Winston Churchill, the
chancellor of the Exchequer, played a key role in restoring the gold
standard in 1925. Besides Great Britain, such countries as Switzerland,
France, and the Scandinavian countries restored the gold standard by
1928.
The international gold standard of the late 1920s, however, was not
much more than a facade. Most major countries gave priority to the
stabilization of domestic economies and systematically followed a policy
of sterilization of gold by matching inflows and outflows of gold
respectively with reductions and increases in domestic money and credit.
The Federal Reserve of the United States, for example, kept some gold
outside the credit base by circulating it as gold certificates. The Bank of
England also followed the policy of keeping the amount of available
17
domestic credit stable by neutralizing the effects of gold flows. In a word,
countries lacked the political will to abide by the “rules of the game,” and
so the automatic adjustment mechanism of the gold standard was unable
to work.
Even the facade of the restored gold standard was destroyed in the
wake of the Great Depression and the accompanying financial crises.
Following the stock market crash and the onset of the Great Depression in
1929, many banks, especially in Austria, Germany, and the United States,
suffered sharp declines in their portfolio values, touching off runs on the
banks. Against this backdrop, Britain experienced a massive outflow of
gold, which resulted from chronic balance-of-payment deficits and lack
of confidence in the pound sterling. Despite coordinated international
efforts to rescue the pound, British gold reserves continued to fall to the
point where it was impossible to maintain the gold standard. In
September 1931, the British government suspended gold payments and
let the pound float. As Great Britain got off gold, countries such as
Canada, Sweden, Austria, and Japan followed suit by the end of 1931.
The United States got off gold in April 1933 after experiencing a spate of
bank failures and outflows of gold. Lastly, France abandoned the gold
standard in 1936 because of the flight from the franc, which, in turn,
reflected the economic and political instability following the inception of
18
the socialist Popular Front government led by Leon Blum. Paper
standards came into being when the gold standard was abandoned.
In sum, the interwar period was characterized by economic
nationalism, halfhearted attempts and failure to restore the gold standard,
economic and political instabilities, bank failures, and panicky flights of
capital across borders. No coherent international monetary system
prevailed during this period, with profoundly detrimental effects on
international trade and investment.
Bretton Woods System: 1945–1972
In July 1944, representatives of 44 nations gathered at Bretton
Woods, New Hampshire, to discuss and design the postwar international
monetary system. After lengthy discussions and bargains, representatives
succeeded in drafting and signing the Articles of Agreement of the
International Monetary Fund (IMF), which constitutes the core of the
Bretton Woods system. The agreement was subsequently ratified by the
majority of countries to launch the IMF in 1945. The IMF embodied an
explicit set of rules about the conduct of international monetary policies
and was responsible for enforcing these rules. Delegates also created a
sister institution, the International Bank for Reconstruction and
Development (IBRD), better known as the World Bank, that was chiefly
responsible for financing individual development projects.
19
Under the Bretton Woods system, each country established a par
value in relation to the U.S. dollar, which was pegged to gold at $35 per
ounce. This point is illustrated in following chart :-
Each country was responsible for maintaining its exchange rate
within +/- 1 percent of the adopted par value by buying or selling foreign
exchanges as necessary. However, a member country with a “fundamental
disequilibrium” may be allowed to make a change in the par value of its
currency. Under the Bretton Woods system, the U.S. dollar was the only
currency that was fully convertible to gold; other currencies were not
directly convertible to gold. Countries held U.S. dollars, as well as gold,
for use as an international means of payment. Because of these
arrangements, the Bretton Woods system can be described as a dollar-
based gold-exchange standard. A country on the gold-exchange
20
standard holds most of its reserves in the form of currency of a country
that is really on the gold standard.
Advocates of the gold-exchange system argue that the system
economizes on gold because countries can use not only gold but also
foreign exchanges as an international means of payment. Foreign
exchange reserves offset the deflationary effects of limited addition to the
world’s monetary gold stock. Another advantage of the gold-exchange
system is that individual countries can earn interest on their foreign
exchange holdings, whereas gold holdings yield no returns. In addition,
countries can save transaction costs associated with transporting gold
across countries under the gold-exchange system. An ample supply of
international monetary reserves coupled with stable exchange rates
provided an environment highly conducive to the growth of international
trade and investment throughout the 1950s and 1960s.
The Flexible Exchange Rate Regime: 1973–Present
The flexible exchange rate regime that followed the demise of the
Bretton Woods system was ratified after the fact in January 1976 when
the IMF members met in Jamaica and agreed to a new set of rules for the
international monetary system. The key elements of the Jamaica
Agreement include:
21
1. Flexible exchange rates were declared acceptable to the IMF
members, and central banks were allowed to intervene in the exchange
markets to iron out unwarranted volatilities.
2. Gold was officially abandoned (i.e., demonetized) as an
international reserve asset. Half of the IMF’s gold holdings were returned
to the members and the other half were sold, with the proceeds to be used
to help poor nations.
3. Non-oil-exporting countries and less-developed countries were
given greater access to IMF funds.
22
23
Fisher Effects
Another parity condition we often encounter in the literature is the
Fisher effect. The
Fisher effect holds that an increase (decrease) in the expected
inflation rate in a country will cause a proportionate increase (decrease)
in the interest rate in the country. Formally, the Fisher effect can be
written for the United States as follows:
i$ = P$ + E(π$)+ P$E(π$) ≈P$ + E(π$)
where P$ denotes the equilibrium expected “real” interest rate in
the United States.
Exchange-Rate Risk
Exchange-rate risk is the natural consequence of international
operations in a world where foreign currency values move up and down.
International firms usually enter into some contracts that require
payments in different currencies. For example, suppose that the treasurer
of an international firm knows that one month from today the firm must
pay £2 million for goods it will receive in England. The current
exchange rate is $1.50/£, and if that rate prevails in one month, the
dollar cost of the goods to the firm will be $1.50/£ ×£2 million = $3
million. The treasurer in this case is obligated to pay pounds in one
24
month. (Alternately, we say that he is short in pounds.) A net short or
long position of this type can be very risky. If the pound rises in the
month to $2/£, the treasurer must pay $2/£ ×£2 million =$4 million,
an extra $1 million.
Which Firms Hedge Exchange-Rate Risk?
Not all firms with exchange-rate risk exposure hedge.
Geczy,Minton, and Schrand report about 41 percent of Fortune 500 firms
with foreign currency risk actually attempt to hedge these risks.2 They
find that larger firms with greater growth opportunities are more likely to
use currency derivatives to hedge exchange-rate risk than smaller firms
with fewer investment opportunities. This suggests that some firms hedge
to make sure that they have enough cash on hand to finance their growth.
In addition, firms with greater growth opportunities will tend to have
higher indirect bankruptcy costs. For these firms, hedging exchange-rate
risk will reduce these costs and increase the probability that they will not
default on their debt obligations.
The fact that larger firms are more likely to use hedging techniques
suggests that the costs of hedging are not insignificant. There may be
fixed costs of establishing a hedging operation, in which case, economies
of scale may explain why smaller firms hedge less than larger firms.
25
references
 Books
⋅ Eun, Resnick (2004). International Financial Manageme. McGraw−Hill
Companies.
⋅ Karen A. Horcher(2005). Essentials of Financial Risk Management.
John Wiley & Sons.
⋅ Ross,Westerfield, and Jaffe (2003).Corporate Finance. McGraw−Hill
Primis
⋅ C. Geczy, B. Minton, and C. Schrand, “Why Firms Use Currency
Derivatives,” Journal of Finance (September 1997). See also D. R. Nance,
C. Smith, Jr., and C.W. Smithson, “On the Determinants of Corporate
Hedging,” Journal of Finance, 1993.
26

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Exchange rate final

  • 1. Faculty of Commerce Department of Business Administration Exchange rate Working paper Submitted by Mohamed Ahmed Mohamed Awad Supervised By Prof. Dr. Nadya Abo-fkhra Professor of Business Administration Faculty of Commerce – Ain Shams University 2013 1
  • 2. 2
  • 3. ♦ Exchange Rates (Ross, et al, 2003) An exchange rate is the price of one country’s currency for another’s. In practice, almost all trading of currencies takes place in terms of the U.S. dollar. For example, both the German deutschemark and the British pound will be traded with their price quoted in U.S. dollars. If the quoted price is the price in dollars of a unit of foreign exchange, the quotation is said to be in direct (or American) terms. For example, $1.50=£1 and $0.40 =DM1 are in direct terms. The financial press frequently quotes the foreign currency price of a U.S. dollar. If the quoted price is the foreign currency price of a U.S. dollar, the quotation is indirect (or European). For example,£0.67=$1 and DM2.5=$1. (Ross,2004) We refer to a decrease in the value of a currency as a depreciation and an increase as an appreciation. In fixed exchange rate regimes, where the changes reflect policy, the analogous terms are devaluation and revaluation. 3
  • 4. ♦ Factors that Affect Foreign Exchange Rates (Karen A. Horcher, 2005) Foreign exchange rates are determined by supply and demand for currencies. Supply and demand, in turn, are influenced by factors in the economy, foreign trade, and the activities of international investors. Capital flows, given their size and mobility, are of great importance in determining exchange rates. Factors that influence the level of interest rates also influence exchange rates among floating or market-determined currencies. Currencies are very sensitive to changes or anticipated changes in interest rates and to sovereign risk factors. Some of the key drivers that affect exchange rates include: • Interest rate differentials net of expected inflation • Trading activity in other currencies • International capital and trade flows • International institutional investor sentiment • Financial and political stability • Monetary policy and the central bank • Domestic debt levels (e.g., debt-to-GDP ratio) • Economic fundamentals 4
  • 5. ♦ Types of Transactions (Ross, et al, 2003) Thire are Three types of trades take place in the foreign exchange market: 1. Spot. 2. forward. 3. swap. Spot trades involve an agreement on the exchange rate today for settlement in two days. The rate is called the spot-exchange rate. Forward trades involve an agreement on exchange rates today for settlement in the future. The rate is called the forward-exchange rate. The maturities for forward trades are usually 1 to 52 weeks. A swap is the sale (purchase) of a foreign currency with a simultaneous agreement to repurchase (resell) it sometime in the future. The difference between the sale price and the repurchase price is called the swap rate. 5
  • 6. ♦ Interest Rate Parity Interest rate parity (IRP) is an arbitrage condition that must hold when international financial markets are in equilibrium. Suppose that you have $1 to invest over, say, a one-year period. Consider two alternative ways of investing your fund: (1) invest domestically at the U.S. interest rate, or, alternatively, (2) invest in a foreign country, say, the U.K., at the foreign interest rate and hedge the exchange risk by selling the maturity value of the foreign investment forward. It is assumed here that you want to consider only default-free investments. If you invest $1 domestically at the U.S. interest rate (i$), the maturity value will be $1(1 + i$) Since you are assumed to invest in a default-free instrument like a U.S. Treasury note, there is no uncertainty about the future maturity value of your investment in dollar terms. To invest in the U.K., on the other hand, you carry out the following sequence of transactions: 1. Exchange $1 for a pound amount, that is, £(1/S), at the prevailing spot exchange rate (S). 2. Invest the pound amount at the U.K. interest rate (i£), with the maturity value of £(1/S)(1+ i£). 6
  • 7. 3. Sell the maturity value of the U.K. investment forward in exchange for a predetermined dollar amount, that is, $[(1/S)(1 + i£)]F, where F denotes the forward exchange rate. Two things are noteworthy First, the net cash flow at the time of investment is zero. This, of course, implies that the arbitrage portfolio is indeed fully self-financing; it doesn’t cost any money to hold this portfolio. Second, the net cash flow on the maturity date is known with certainty. That is so because none of the variables involved in the net cash flow, that is, S, F, i$, and i£, is uncertain. Since no one should be able to make certain profits by holding this arbitrage portfolio, market equilibrium requires that the net cash flow on the maturity date be zero for this portfolio: (1 + i£)F- (1 +i$)S= 0 The IRP relationship is often approximated as follows: (i$ - i£) = (F - S)/S As can be seen clearly, IRP provides a linkage between interest rates in two different countries. Specifically, the interest rate will be higher in the United States than in the U.K. when the dollar is at a forward discount, that is, F > S. Recall that the exchange rates, S and F, represent the dollar prices of one unit of foreign currency. When the dollar is at a forward discount, this implies that the dollar is expected to depreciate against the pound. If so, the U.S. interest rate 7
  • 8. should be higher than the U.K. interest rate to compensate for the expected depreciation of the dollar. Otherwise, nobody would hold dollar-denominated securities. On the other hand, the U.S. interest rate will be lower than the U.K. interest rate when the dollar is at a forward premium, that is, F < S. also can indicates that the forward exchange rate will deviate from the spot rate as long as the interest rates of the two countries are not the same. When IRP holds, you will be indifferent between investing your money in the United States and investing in the U.K. with forward hedging. However, if IRP is violated, you will prefer one to another. You will be better off by investing in the United States (U.K.) if (1 + i$) is greater (less) than (F/S)(1 + i£). When you need to borrow, on the other hand, you will choose to borrow where the dollar interest is lower. 8
  • 9. ♦ Theories of Exchange Rate Determination (Karen A. Horcher, 2005) Several theories have been advanced to explain how exchange rates are determined: • Purchasing power parity, based in part on “the law of one price,” suggests that exchange rates are in equilibrium when the prices of goods and services (excluding mobility and other issues) in different countries are the same. If local prices increase more than prices in another country for the same product, the local currency would be expected to decline in value vis-à-vis its foreign counterpart, presuming no change in the structural relationship between the countries. • The balance of payments approach suggests that exchange rates result from trade and capital transactions that, in turn, affect the balance of payments. The equilibrium exchange rate is reached when both internal and external pressures are in equilibrium. • The monetary approach suggests that exchange rates are determined by a balance between the supply of, and demand for, money. When the money supply in one country increases compared with its trading partners, prices should rise and the currency should depreciate. • The asset approach suggests that currency holdings by foreign investors are chosen based on factors such as real interest rates, as compared with other countries. 9
  • 10. Let us explore the previous theories At the following The cross rate is the exchange rate between two foreign currencies, generally neither of which is the U.S. dollar. The dollar, however, is used as an interim step in determining the cross rate. For example, if an investor wants to sell Japanese yen and buy Swiss francs, he would sell yen against dollars and then buy francs with those dollars. So, although the transaction is designed to be yen for francs, the dollar’s exchange rate serves as a benchmark. The cross-exchange rate can be calculated from the U.S. dollar exchange rates for the two currencies, using either European or American term quotations. For example, the €/£ cross-rate can be calculated from American term quotations as follows: Real exchange rates . You'll see this term, too, but what does it mean? By convention, the real exchange rate between (say) the US and Europe is the relative price of a basket of goods. If (P) is the US CPI in dollars,(P* is the European CPI in euros , and (e) is the dollar price of o 10
  • 11. ne euro (the nominal exchange rate), then the (CPI-based) real exchange rate between the US and the Euro Zone is the ratio of the price of Euro goods to US goods, with both expressed in the same units (here dollars). (Note: asterisks are commonly used to denote foreign values). 11
  • 12. The international monetary system went through several distinct stages of evolution. (Eun, Resnick, 2004) These stages are summarized as follows: 1. Bimetallism: Before 1875. 2. Classical gold standard: 1875–1914. 3. Interwar period: 1915–1944. 4. Bretton Woods system: 1945–1972. 5. Flexible exchange rate regime: Since 1973. We now examine each of the five stages in some detail. Bimetallism: Before 1875 Prior to the 1870s, many countries had bimetallism, that is, a double standard in that free coinage was maintained for both gold and silver. In Great Britain, for example, bimetallism was maintained until 1816 (after the conclusion of the Napoleonic Wars) when Parliament passed a law maintaining free coinage of gold only, abolishing the free coinage of silver. In the United States, bimetallism was adopted by the Coinage Act of 1792 and remained a legal standard until 1873, when Congress dropped the silver dollar from the list of coins to be minted. France, on the other hand, introduced and maintained its bimetallism from the French Revolution to 1878. Some other countries such as China, India, Germany, and Holland were on the silver standard. 12
  • 13. The international monetary system before the 1870s can be characterized as “bimetallism” in the sense that both gold and silver were used as international means of payment and that the exchange rates among currencies were determined by either their gold or silver contents.1 Around 1870, for example, the exchange rate between the British pound, which was fully on a gold standard, and the French franc, which was officially on a bimetallic standard, was determined by the gold content of the two currencies. On the other hand, the exchange rate between the franc and the German mark, which was on a silver standard, was determined by the silver content of the currencies. The exchange rate between the pound and the mark was determined by their exchange rates against the franc. It is also worth noting that, due to various wars and political upheavals, some major countries such as the United States, Russia, and Austria-Hungary had irredeemable currencies at one time or another during the period 1848–79. One might say that the international monetary system was less than fully systematic up until the 1870s. Countries that were on the bimetallic standard often experienced the well-known phenomenon referred to as Gresham’s law. Since the exchange ratio between the two metals was fixed officially, only the abundant metal was used as money, driving more scarce metal out of circulation. This is Gresham’s law, according to which “bad” (abundant) money drives out “good” (scarce) money. For example, when gold from 13
  • 14. newly discovered mines in California and Australia poured into the market in the 1850s, the value of gold became depressed, causing overvaluation of gold under the French official ratio, which equated a gold franc to a silver franc 151⁄2 times as heavy. As a result, the franc effectively became a gold currency. Classical Gold Standard: 1875–1914 Mankind’s fondness for gold as a storage of wealth and means of exchange dates back to antiquity and was shared widely by diverse civilizations. Christopher Columbus once said, “Gold constitutes treasure, and he who possesses it has all he needs in this world.” The first full- fledged gold standard, however, was not established until 1821 in Great Britain, when notes from the Bank of England were made fully redeemable for gold. As previously mentioned, France was effectively on the gold standard beginning in the 1850s and formally adopted the standard in 1878. The newly emergent German empire, which was to receive a sizable war indemnity from France, converted to the gold standard in 1875, discontinuing free coinage of silver. The United States adopted the gold standard in 1879, Russia and Japan in 1897. One can say roughly that the international gold standard existed as a historical reality during the period 1875–1914. The majority of countries got off gold in 1914 when World War I broke out. The classical 14
  • 15. gold standard as an international monetary system thus lasted for about 40 years. During this period, London became the center of the international financial system, reflecting Britain’s advanced economy and its preeminent position in international trade. An international gold standard can be said to exist when, in most major countries, (1) gold alone is assured of unrestricted coinage, (2) there is two-way convertibility between gold and national currencies at a stable ratio, and (3) gold may be freely exported or imported. In order to support unrestricted convertibility into gold, banknotes need to be backed by a gold reserve of a minimum stated ratio. In addition, the domestic money stock should rise and fall as gold flows in and out of the country. The above conditions were roughly met between 1875 and 1914. Under the gold standard, the exchange rate between any two currencies will be determined by their gold content. For example, suppose that the pound is pegged to gold at six pounds per ounce, whereas one ounce of gold is worth 12 francs. The exchange rate between the pound and the franc should then be two francs per pound. To the extent that the pound and the franc remain pegged to gold at given prices, the exchange rate between the two currencies will remain stable. There were indeed no significant changes in exchange rates among the currencies of such major countries as Great Britain, France, Germany, and the United States during the entire period. Highly stable exchange rates under the classical gold 15
  • 16. standard provided an environment that was conducive to international trade and investment. The gold standard, however, has a few key shortcomings. First of all, the supply of newly minted gold is so restricted that the growth of world trade and investment can be seriously hampered for the lack of sufficient monetary reserves. The world economy can face deflationary pressures. Second, whenever the government finds it politically necessary to pursue national objectives that are inconsistent with maintaining the gold standard, it can abandon the gold standard. In other words, the international gold standard per se has no mechanism to compel each major country to abide by the rules of the game. For such reasons, it is not very likely that the classical gold standard will be restored in the foreseeable future . Interwar Period: 1915–1944 World War I ended the classical gold standard in August 1914, as major countries such as Great Britain, France, Germany, and Russia suspended redemption of banknotes in gold and imposed embargoes on gold exports. After the war, many countries, especially Germany, Austria, Hungary, Poland, and Russia, suffered hyperinflation. The German experience provides a classic example of hyperinflation: By the end of 1923, the wholesale price index in Germany was more than 1 trillion 16
  • 17. times as high as the prewar level. Freed from wartime pegging, exchange rates among currencies were fluctuating in the early 1920s. During this period, countries widely used “predatory” depreciations of their currencies as a means of gaining advantages in the world export market. As major countries began to recover from the war and stabilize their economies, they attempted to restore the gold standard. The United States, which replaced Great Britain as the dominant financial power, spearheaded efforts to restore the gold standard. With only mild inflation, the United States was able to lift restrictions on gold exports and return to a gold standard in 1919. In Great Britain, Winston Churchill, the chancellor of the Exchequer, played a key role in restoring the gold standard in 1925. Besides Great Britain, such countries as Switzerland, France, and the Scandinavian countries restored the gold standard by 1928. The international gold standard of the late 1920s, however, was not much more than a facade. Most major countries gave priority to the stabilization of domestic economies and systematically followed a policy of sterilization of gold by matching inflows and outflows of gold respectively with reductions and increases in domestic money and credit. The Federal Reserve of the United States, for example, kept some gold outside the credit base by circulating it as gold certificates. The Bank of England also followed the policy of keeping the amount of available 17
  • 18. domestic credit stable by neutralizing the effects of gold flows. In a word, countries lacked the political will to abide by the “rules of the game,” and so the automatic adjustment mechanism of the gold standard was unable to work. Even the facade of the restored gold standard was destroyed in the wake of the Great Depression and the accompanying financial crises. Following the stock market crash and the onset of the Great Depression in 1929, many banks, especially in Austria, Germany, and the United States, suffered sharp declines in their portfolio values, touching off runs on the banks. Against this backdrop, Britain experienced a massive outflow of gold, which resulted from chronic balance-of-payment deficits and lack of confidence in the pound sterling. Despite coordinated international efforts to rescue the pound, British gold reserves continued to fall to the point where it was impossible to maintain the gold standard. In September 1931, the British government suspended gold payments and let the pound float. As Great Britain got off gold, countries such as Canada, Sweden, Austria, and Japan followed suit by the end of 1931. The United States got off gold in April 1933 after experiencing a spate of bank failures and outflows of gold. Lastly, France abandoned the gold standard in 1936 because of the flight from the franc, which, in turn, reflected the economic and political instability following the inception of 18
  • 19. the socialist Popular Front government led by Leon Blum. Paper standards came into being when the gold standard was abandoned. In sum, the interwar period was characterized by economic nationalism, halfhearted attempts and failure to restore the gold standard, economic and political instabilities, bank failures, and panicky flights of capital across borders. No coherent international monetary system prevailed during this period, with profoundly detrimental effects on international trade and investment. Bretton Woods System: 1945–1972 In July 1944, representatives of 44 nations gathered at Bretton Woods, New Hampshire, to discuss and design the postwar international monetary system. After lengthy discussions and bargains, representatives succeeded in drafting and signing the Articles of Agreement of the International Monetary Fund (IMF), which constitutes the core of the Bretton Woods system. The agreement was subsequently ratified by the majority of countries to launch the IMF in 1945. The IMF embodied an explicit set of rules about the conduct of international monetary policies and was responsible for enforcing these rules. Delegates also created a sister institution, the International Bank for Reconstruction and Development (IBRD), better known as the World Bank, that was chiefly responsible for financing individual development projects. 19
  • 20. Under the Bretton Woods system, each country established a par value in relation to the U.S. dollar, which was pegged to gold at $35 per ounce. This point is illustrated in following chart :- Each country was responsible for maintaining its exchange rate within +/- 1 percent of the adopted par value by buying or selling foreign exchanges as necessary. However, a member country with a “fundamental disequilibrium” may be allowed to make a change in the par value of its currency. Under the Bretton Woods system, the U.S. dollar was the only currency that was fully convertible to gold; other currencies were not directly convertible to gold. Countries held U.S. dollars, as well as gold, for use as an international means of payment. Because of these arrangements, the Bretton Woods system can be described as a dollar- based gold-exchange standard. A country on the gold-exchange 20
  • 21. standard holds most of its reserves in the form of currency of a country that is really on the gold standard. Advocates of the gold-exchange system argue that the system economizes on gold because countries can use not only gold but also foreign exchanges as an international means of payment. Foreign exchange reserves offset the deflationary effects of limited addition to the world’s monetary gold stock. Another advantage of the gold-exchange system is that individual countries can earn interest on their foreign exchange holdings, whereas gold holdings yield no returns. In addition, countries can save transaction costs associated with transporting gold across countries under the gold-exchange system. An ample supply of international monetary reserves coupled with stable exchange rates provided an environment highly conducive to the growth of international trade and investment throughout the 1950s and 1960s. The Flexible Exchange Rate Regime: 1973–Present The flexible exchange rate regime that followed the demise of the Bretton Woods system was ratified after the fact in January 1976 when the IMF members met in Jamaica and agreed to a new set of rules for the international monetary system. The key elements of the Jamaica Agreement include: 21
  • 22. 1. Flexible exchange rates were declared acceptable to the IMF members, and central banks were allowed to intervene in the exchange markets to iron out unwarranted volatilities. 2. Gold was officially abandoned (i.e., demonetized) as an international reserve asset. Half of the IMF’s gold holdings were returned to the members and the other half were sold, with the proceeds to be used to help poor nations. 3. Non-oil-exporting countries and less-developed countries were given greater access to IMF funds. 22
  • 23. 23
  • 24. Fisher Effects Another parity condition we often encounter in the literature is the Fisher effect. The Fisher effect holds that an increase (decrease) in the expected inflation rate in a country will cause a proportionate increase (decrease) in the interest rate in the country. Formally, the Fisher effect can be written for the United States as follows: i$ = P$ + E(π$)+ P$E(π$) ≈P$ + E(π$) where P$ denotes the equilibrium expected “real” interest rate in the United States. Exchange-Rate Risk Exchange-rate risk is the natural consequence of international operations in a world where foreign currency values move up and down. International firms usually enter into some contracts that require payments in different currencies. For example, suppose that the treasurer of an international firm knows that one month from today the firm must pay £2 million for goods it will receive in England. The current exchange rate is $1.50/£, and if that rate prevails in one month, the dollar cost of the goods to the firm will be $1.50/£ ×£2 million = $3 million. The treasurer in this case is obligated to pay pounds in one 24
  • 25. month. (Alternately, we say that he is short in pounds.) A net short or long position of this type can be very risky. If the pound rises in the month to $2/£, the treasurer must pay $2/£ ×£2 million =$4 million, an extra $1 million. Which Firms Hedge Exchange-Rate Risk? Not all firms with exchange-rate risk exposure hedge. Geczy,Minton, and Schrand report about 41 percent of Fortune 500 firms with foreign currency risk actually attempt to hedge these risks.2 They find that larger firms with greater growth opportunities are more likely to use currency derivatives to hedge exchange-rate risk than smaller firms with fewer investment opportunities. This suggests that some firms hedge to make sure that they have enough cash on hand to finance their growth. In addition, firms with greater growth opportunities will tend to have higher indirect bankruptcy costs. For these firms, hedging exchange-rate risk will reduce these costs and increase the probability that they will not default on their debt obligations. The fact that larger firms are more likely to use hedging techniques suggests that the costs of hedging are not insignificant. There may be fixed costs of establishing a hedging operation, in which case, economies of scale may explain why smaller firms hedge less than larger firms. 25
  • 26. references  Books ⋅ Eun, Resnick (2004). International Financial Manageme. McGraw−Hill Companies. ⋅ Karen A. Horcher(2005). Essentials of Financial Risk Management. John Wiley & Sons. ⋅ Ross,Westerfield, and Jaffe (2003).Corporate Finance. McGraw−Hill Primis ⋅ C. Geczy, B. Minton, and C. Schrand, “Why Firms Use Currency Derivatives,” Journal of Finance (September 1997). See also D. R. Nance, C. Smith, Jr., and C.W. Smithson, “On the Determinants of Corporate Hedging,” Journal of Finance, 1993. 26