Title: The Foreign Exchange Market
1The Foreign Exchange Market
2Some recent movements
- In the text, they discuss the US/Euro exchange
rate, and how it has moved. - The euro was introduced at 1.16/ but fell to
0.895/ by 2001. By 2004 it was back up to
1.30/ then it fell again slightly by March
2004. - The Canadian/US exchange rate has also shown a
lot of movement.
3- From Jan 05 to Dec 06 the Can/US dollar has moved
from less than 80 cents to almost 91 cents
4- Monthly exchange rates look smoother.
- Going back to 2000, the variation is even wider,
from 0.625 to 0.90.
5Dollar variability
- Currencies vary widely in value over time.
- The US dollar has shown weakness from time to
time, but has so far maintained its position as
the world reserve currency. - The dependence of countries on export-driven
growth policies help the US dollar. - Investment into the US both supports the dollar
and attests to world confidence in its future
growth
6The Exchange Rate
- The exchange rate is the price of one currency in
terms of another currency. - Example US/ measures how many US it takes to
buy one Euro. - The value of the exchange rate may be fixed (like
any fixed price), but in many countries it is
determined by the demand and supply of currency
7The market
- The worldwide network of markets and
institutions that handle the exchange of foreign
currencies is known as the foreign exchange
market . - There are two main components to the market.
- the spot market is where current transactions for
immediate delivery of currency take place - the forward and futures markets are where
transactions for future delivery of currency take
place.
8The Basic Foreign Exchange Market
- Like any market, there is a demand side and a
supply side to foreign exchange
9Demand for Foreign Currency (3 types)
- 1. Demand for goods, services or immediate
purchases, gifts - goods and services from another country
- demand for currency to send a gift to another
country - demand for currency to pay foreign factors
- pay investors
- pay international workers
10Demand for Foreign Currency (foreign exchange)
- 2. Demand for financial assets
- buy stocks from another country
- buy bonds from another country
- open a bank account in another country
- buy a business in another country
11Demand for Foreign Exchange (3 types)
- 3. Hedging and speculation
- If you need to pay a foreign seller in the near
future, you may buy foreign currency now if you
are worried that its value will rise by the time
the payment is due. (hedging) - If you want to make a profit off the change in
value, you may buy the currency today to sell the
currency tomorrow at a higher value (speculation)
12The Demand for Foreign currency
- The sum of the three demands constitute the
demand for foreign currency - These demands correspond to debit items in the
balance of payments
13The Supply of Foreign currency
- The sum of the three demands constitute the
demand for foreign currency - These demands correspond to debit items in the
balance of payments
14Supply of Foreign Currency (3 types)
- 1. Sale of goods, services or immediate
purchases, gifts - goods and services from OUR country
- demand for OUR currency to send a gift to OUR
country - supply of currency when foreign companies need to
pay domestic factors - pay investors
- pay workers working abroad
15Supply of Foreign Currency (foreign exchange)
- 2. Purchases of OUR financial assets
- People from other countries
- buy stocks from OUR country
- buy bonds from OUR country
- open a bank account in OUR country
- buy a business in OUR country
16Supply of Foreign Exchange
- 3. Hedging and speculation
- If a foreign seller needs to pay in Canadian
dollars in the near future, they may buy OUR
currency now (selling theirs) if they are worried
that its value will rise by the time the payment
is due. (hedging) - If speculators want to make a profit off the
change in value, they may buy OUR currency today
(selling foreign currency) to sell OUR currency
tomorrow at a higher value (speculation)
17The market for Foreign Exchange
- The foreign currency market defines demand an
supply of a foreign currency. - Therefore, when the demand for foreign currency
increases, the price of foreign currency rises,
this means - the value of our currency falls!
- The following slide shows the demand and supply
of foreign currency
18The Basic Foreign Exchange Market
e /
S
S
eeq
D
D
Euros ()
Qeq
19Movement in the market
- An increase in demand for the foreign currency
results in a rightward shift of the demand curve. - It now takes more domestic currency to buy the
foreign currency. - Therefore, when e rises, the value of the foreign
currency rises and the value of OUR currency
falls. We call this an appreciation of the
foreign currency or a depreciation of OUR
currency in relation to the foreign currency
20The Basic Foreign Exchange Market
e /
S
e
eeq
D
D
Euros ()
Qeq
Q
21Increase in supply of foreign currency
- When foreign currency supply increases, the
supply curve shifts right - the price of the foreign currency falls
- This means the value of our own currency rises,
(our currency appreciates and the foreign
currency depreciates)
22The Basic Foreign Exchange Market
e /
S
S
eeq
e
D
Euros ()
Q
Qeq
23Demand and supply and the current account
- The demand and supply of foreign exchange can be
broken into 2 components - Goods services (current account)
- financial transactions
- These sum to total demand and supply
- The equilibrium exchange rate is determined by
the total demand and supply
24Demand and supply and the current account
- In the following slide, the equilibrium exchange
rate is lower than the rate needed for a current
account balance - (our exchange rate would be more valuable than
would be the case if there were only current
account transactions) - Therefore, there is a current account deficit
(shown as Q2 Q1) - this deficit is also the surplus in financial
transactions. (Qeq-Q1) (Qeq-Q2)Q2-Q1
25Demand and supply and the current account
SGS
e
STotal
eeq
DTotal
DGS
Qeq
Q2
Q1
Foreign Ex
26Concept checks
- The market for international currency is called
the
27Concept checks
- The market for current transactions of foreign
exchange to be delivered immediately is called..
28Concept checks
- The two markets for future transactions in
foreign exchange are called
29Concept checks
- The three sources of demand for foreign exchange
are
30Concept checks
- An increase in demand for foreign currency
results in __________ of our currency and
___________________ of the foreign currency
31Concept checks
- If the foreign exchange rate is too high for our
current account transaction, this means we will
have a current account __________
(surplus/deficit) and a capital account
______________ (surplus/deficit)
32The Spot Market
- The spot market is the day-to-day purchase and
sale of foreign exchange - The largest players in the spot market are the
commercial banks, followed by - Multi-national corporations
- large nonbank financial institutions, like
insurance companies - government agencies including central banks
- (not in order of importance)
33The Spot Market
- Most transactions take place with crediting and
debiting accounts - Therefore, the bulk of currency transactions are
in the Interbank market - Transactions made by brokers who receive a small
fee for trading - this is why you always lose a bit if you sell a
currency then buy it back
34Arbitrage
- Arbitrage is the act of buying and selling
something in two different markets and making a
profit from it. - With many different currencies, the most common
kind of arbitrage is triangular arbitrage - this occurs when an actor in the exchange market
can use trade between three currencies to make a
profit
35Arbitrage
- If I can use US dollars, sell them to buy euros,
sell euros and buy yen, then sell yen and buy US
dollars, and make a profit, I have succeeded at
triangular arbitrage - Example
- dollar sterling rate 1.60/
- dollar Swiss franc rate is 0.70/Sfr
- and Sfr/ 2 Sfr/
- an arbitrageur would use to buy 2 francs (need
1.40), then buy 1 then buy and make 0.20
profit.
36Arbitrage
- The role of arbitrage in the market is to drive
all rates toward equality. - In the previous example, the undervalued currency
(franc-sterling price) would be pushed up, and
the overvalued currency (dollar-sterling price)
would be pushed down by arbitrage transactions.
37Measures of the Spot rate
- The spot rate is sometimes called the nominal
exchange rate, nominal meaning in name - There are various kinds of information missing
when we look at the spot rate between two
countries, and so we build other measures to
capture this information
38Measures of the Spot rate
- The missing information is
- How does one currency value change against the
value of currencies of all its trading partners? - How does the currency value change in relation to
purchasing power, when each country may have a
different inflation rate?
39Measures of the Spot rate
- First problem
- We can measure the value of a currency against
all of its partners by - building an index using a trade-weighted average
for changes in the value of the currency. - This is called the Nominal Effective Exchange
Rate (NEER)
40Measures of the Spot rate
- We pick a year against which to measure, and let
this equal 1. - Then we see how each currency changes over time.
- Then we find the average change, using each
change in exchange rate times the value of
exports and imports from that country
41Measures of the Spot rate - example
- Using 3 countries (partly fictitious)
42Example
- NEER (1.056x0.4) 0.94x 0.38 1.027x0.22
- 1.006
43Example.
- In this example, the US dollar has stayed very
stable, appreciating very slightly against its
trading partners. - Note, the countries included in the basket
matter. - We included only 3 largest trading partners.
- You repeat this calculation with 5.
44 45 46The NEER
- The NEER is good for measuring nominal changes
against all trading partners. - The next problem is to take account of changes in
prices as well as changes in nominal exchange
rates, in order to see if the purchasing power of
a country has changed.
47The Real Exchange Rate (RER)
- The real exchange rate adjusts for changes in
prices in the two countries. - It is simply the exchange rate times the ratio of
price indices (example, the consumer price index)
for the countries - Example yen / dollar
- RER2003 e/,2003 X(U.S. price index 2003)
- (Jap. price index 2003)
48RER
- Using 1995 as the base year, (base year 100)
- the Japanese price index in 2003 is 101.0
- The US price index 2003 is 120.7
- recall, yen/ ex rate is 115.94
- RER115.94 x (120.7/101.0)138.55
49RER
- RER138.55
- Note, the exchange rate in 1995 was 94.06
- This means that the US dollar appreciated by 47.3
percent from 94.06 to 138.55. - This means that US purchasing power has
increased, and that US goods have become much
more expensive relative to Japanese goods.
50REER
- The Real Effective Exchange Rate
- This measures the changes in the real exchange
rate against a weighted average of all countries.
51Purchasing Power Parity
- PPP (absolute) says that what we buy in one
country should cost the same in another country,
once you adjust for the exchange rate. - PPP (relative) says that if prices in the home
country are rising faster than prices in the
partner country, then the home country currency
should depreciate.
52Purchasing Power Parity
- PPP (absolute) rarely holds.
- PPP (relative) sometimes holds.
- The explanations for this range from the
influence of sticky prices (we will see later) to
the effect of the non-traded sector and
distribution services within a country affecting
home prices.
53Foreign Exchange
54Foreign Exchange
- Last class we talked about the exchange rate and
the spot exchange rate. - At the end of class, we were introduced to the
idea of purchasing price parity (PPP), which says
that goods that trade should cost roughly the
same in all countries. - The PPP value of a currency is the exchange rate
that would exist if PPP held.
55Big Mac Index
- The Economist publishes something called The Big
Mac Index which compares prices of Big Mac
hamburgers - If the Big Mac is overpriced in a market, the
currrency is overvalued. - For example, if the US price is 3, and the
Canadian price is C3.20, but our exchange rate
is 11, then the Canadian dollar is higher in
value than implied by the price of the Big Mac.
56Big Mac Index
- To calculate the Big Mac PPP value for the
currency, simply divide the price of the Big Mac
in the foreign currency by the U.S. price. - This tells us what the currency would be valued
at, if PPP held. - This is compared to the actual value of the
currency to predict whether the currency should
rise of fall in the near future. - Conceived in fun, the index has proven to be a
useful indicator of future exchange rate
movements.
57More PPP
- The Big Mac PPP is an absolute measure of PPP.
- The relative PPP exchange rate can be calculated
using a base exchange rate and relative prices.
58More PPP
- For countries 1 and 2, we calculate the PPP1/2rel
by - PPP1/2rele1/2base X PI1cur/PI2cur
- where rel relative
- base is base year
- current is current year
- Using Table 1 (corrected). Japan/US
- 2003PPP/rel 113.7/ X (101.0/120.7) 95.14
- This means Japans currency should have
appreciated, not depreciated to 115.94 by 2003
59More PPP
- The prediction that Japans currency should have
appreciated aligns with the fact that the RER
shows that the US dollar has appreciated more in
real terms than in nominal terms, as shown last
class. - Enough on PPP, lets turn now to dates of
transactions in currency and forward and futures
markets
60Some terminology for spot market
- Exchange rates vary by the moment, but most
transactions take place 2 days from the day the
contract was struck. This is called the value
date. - The difference between a purchase price for
currency and a sale price is called - the retail spread or
- the retail trading margin.
61Forward and future markets
- Often contracts to buy or sell something are made
now, but delivery isnt for a long time. - For example, a Winnipeg window producer may
contract to buy machinery for US100,000 for
delivery in 3 months. - If the exchange rate is 1.3 C/US, then the
cost is C130,000
62Forward and future markets
- The exchange rate can change dramatically in 3
months. - If the purchaser simply waits and pays the spot
rate on the day of the transaction, then they are
taking an uncovered or open position on the
currency and bearing all the risk of currency
change.
63Forward and future markets
- If the purchaser is risk averse, they may buy the
currency now and hold it until the purchase date. - This is costly because, money is tied up until in
our example, 130,000 would be tied in US
currency waiting for a future transaction.
64Forward market
- An alternative to holding currency is to buy it
in the forward market. - This allows for a contract to be written today
that will be executed on a set day in the future,
(usually 1 month, 2 months, etc.) - Forward exchange rates are posted every day.
65Forward market
- If the forward rate is higher than the spot rate,
there is a forward rate premium. - This means that the currency represented in the
denominator is expected to appreciate. - If the forward rate is lower than the spot rate,
there is a forward discount. - The currency in the denominator is expected to
depreciate.
66Forward market
- In the next slide you will see a table of US/C
forward exchange rates posted by the Pacific
Exchange Rate service. - The first column is the time period,
- The second shows the forward rate
- The third shows the premium in basis points
(1/100th of a cent). The premium shows that the
Canadian dollar is expected to appreciate, and
also reflects volatility of the dollar.
67Forward market
- The fourth column shows the Implied Forward
Interest Rate Differential - This is the difference in interest rates implied
by the change in the exchange rates. - We will get back to this later in the class.
68Forward Rates(Pacific Exchange Rate Service)
69The Forward Market
- The next slide shows a graph of Canadian dollar
premiums over time, based on the previous table. - It shows that, the longer into the future a
purchaser would like to reserve Canadian currency
for, the more they will need to pay.
70Canadian premiums measured in US
71Speculation
- Speculators may buy or sell in the forward market
depending on whether they expect a currency to
appreciate or depreciate. - If a speculator expects that the actual spot rate
will be higher than the posted forward rate will
buy a currency. This is called taking a long
position in the currency. - (note, here we are using US/C for the Canadian
exchange rate Canada is the foreign currency
in this case)
72Speculation
- If a speculator expects that the actual spot rate
will be lower than the posted forward rate will
sell the currency in the forward market
(expecting to buy it back at a lower rate). This
is called taking a short position in the
currency. - (note, here we are using US/C for the Canadian
exchange rate Canada is the foreign currency
in this case)
73Speculation and currency
- The more a currency fluctuates, the higher will
be the premium to buy at a future date. - The forward market is a market of individual
buyers and sellers (though these may be brokers) - The forward market provides an easy way to hedge
for investors unfamiliar with the foreign
currency market
74Futures Contracts
- Futures contracts are like forward contracts with
the following differences - they are entered into through the Chicago
Mercantile Exchange - the contracts are for standard amounts
- the contracts are for standard dates (third
Wednesday of March, June, Sept, Dec.) - a margin deposit is required. A margin is a fixed
percent of the contract - the futures contract is resalable up to maturity
75Futures Contracts
- Because of the resalability and the standardized
nature of the contract, future contracts may
appeal more to small investors and speculators. - Speculators buy on margin and this margin is
all that is paid to the broker. - The change in the exchange rate times the percent
they paid (minus broker fees) represents their
daily gain or loss.
76Foreign currency option
- This is a contract that gives the option
purchaser the opportunity to buy currency at a
fixed price on a given date. - In this case, if the currency in question is more
expensive than the option cost, the buyer will
exercise the option. - If the currency spot rate is lower than the
option cost, the buyer will not exercise the
option - The cost of the option is a fee for the right to
exercise the option.
77Foreign currency option
- Our window manufacturer could buy a forward or
future contract on US dollars to be paid on or
before the date of delivery of equipment, or - they could buy an option to purchase US dollars
- In this case, they would only exercise the option
if the price of US dollars in the option contract
is lower than the spot rate at the time the
currency is needed.
78Foreign currency option
- There are two types of options
- Call option gives the purchaser of the option
the right to purchase currency at a future date. - Put option gives the purchaser of the option the
right to sell a currency at a future date. - The cost of the option is called the premium
79Foreign currency option
- A participant in this market could take four
different actions - 1. Buy a call option purchase an option to buy
a currency - 2. Buy a put option purchase the option to sell
a currency - 3. Sell a call option sell another actor the
option to buy a currency - 4. Sell a put option sell another actor the
option to sell a currency.
80Foreign currency option
- The most the purchaser of an option can lose is
the premium. The purchaser can gain if the option
price differs from the spot rate in her favour. - The most the seller can gain is the premium. The
net gain (or loss) will again depend on the
spread between the option rate and the spot rate
at the time the option is exercised.
81Foreign Exchange Markets and Financial Markets
- The spot market, forward market and futures
market all interact with the financial markets to
determine both the exchange rates and the
interest rates in various countries - This is because investment flows are determined
by rates of return in different countries
82Foreign Exchange Markets and Financial Markets
- Investor considers 3 elements when deciding where
to invest - domestic interest rate or expected rate of return
- foreign interest rate or expected rate of return
- expected changes in the exchange rate
83Foreign Exchange Markets and Financial Markets
- This creates a relationship between these
variables - It does NOT lead to interest rate equality across
countries
84Foreign Exchange Markets and Financial Markets
- The investor wants equal return whether investing
in the home or foreign country. - For example, investing in New York or London for
a 90-day period, the investor would like the same
yield on every 1 - 1(1iNY)(1/e)(1iLondon)E(e)
85Foreign Exchange Markets and Financial Markets
- 1(1iNY)(1/e)(1iLondon)E(e)
- LHS earnings in New York
- RHS earnings in London changed back to US .
- E(e) is the expected spot rate in 90 days
- We can rewrite this as
- 1(1iNY)(1)(1iLondon)E(e)/e
86Foreign Exchange Markets and Financial Markets
- 1(1iNY)(1)(1iLondon)E(e)/e
- Example
- At 8 interest per year, 90-day earning is 2.
Investing 1000 in New York would yield 1020 in
90 days. - Now, if money is invested in London
87Foreign Exchange Markets and Financial Markets
- 1(1iNY)(1)(1iLondon)E(e)/e
- Current spot rate is 1.60/, interest rate is 12
percent (90-day 3 ) - Investment yields
- 1000/(1.60/1)(1.03)643 in 90 days
- If the 90-day expected spot rate is
- 1.5845/, then the yield is
- (643)(1.5845/) 1020.
88Foreign Exchange Markets and Financial Markets
- We can rewrite this equality to find a slightly
different relationship between interest rates and
exchange rates. - 1(1iNY)(1)(1iLondon)E(e)/e
- E(e)/e is the expected appreciation of the
foreign currency - Let E(e)/e 1xa
89Foreign Exchange Markets and Financial Markets
- Start with
- (1iNY)/(1iLondon)(1xa)
- Rearrange
- (1iNY)(1iLondon) 1 xa
- (1iNY)/(1iLondon) - (1iLondon)/ )(1iLondon)
xa - (iNY iLondon)/ (1 iLondon) xa
- which is almost the same as
- (iNY iLondon) xa
90Foreign Exchange Markets and Financial Markets
- (iNY iLondon) xa
- Because investor is bearing all the risk of
changes in the exchange rate, this is called - uncovered interest rate parity (UIP)
- If (iNY iLondon) gt xa , then investments in the
US are more attractive, - If (iNY iLondon) lt xa , then investments in
London are more attractive
91Foreign Exchange Markets and Financial Markets
- (iNY iLondon) xa
- However, there are many types of risk involved in
foreign investment, - There may be a risk in earning the return or
repatriating funds. - Therefore the difference in interest rates may
need to be higher than xa .
92Foreign Exchange Markets and Financial Markets
- We incorporate a risk premium into the previous
equation as - (iNY iLondon) xa RP
- If iNY 6 and the RP 2, then
- (iLondon xa ) must equal 8 for the New York
investor to invest in the UK. - Changes in the risk premium can affect investment
flows as well as changes in interest rates and
expected changes in the currency values
93Foreign Exchange Markets and Financial Markets
- We incorporate a risk premium into the previous
equation as - (iNY iLondon) xa RP
- If iNY 6 and the RP 2, then
- (iLondon xa ) must equal 8 for the New York
investor to invest in the UK. - Changes in the risk premium can affect investment
flows as well as changes in interest rates and
expected changes in the currency values
94Covered Interest Parity
- Foreign investors do not need to take chances
with the future spot rate, of course. - They can cover their exchange rate risk by
transactions on the forward market
95Covered Interest Parity
- The link between the current exchange rate and
the forward rate is discussed in terms of premium
and discount - The foreign currency is at a premium if the
forward rate is higher than the current spot rate - The foreign currency is at a discount if the
forward rate is lower than the current spot rate
96Covered Interest Parity
- Let
- p efwd/e 1
- p is the premium, measured in percentage terms.
- p gt 0 if the currency is at a premium,
- p lt 0 if the currency is at a discount.
97Covered Interest Parity
- We can perform similar arithmetic to the
uncovered case to show that the difference
between interest rates in two countries should
equal the exchange rate premium.
98Covered Interest Parity
- Recall the uncovered interest rate equality
starting point. - 1(1iNY)(1)(1iLondon)E(e)/e
- E(e)/e can be replaced with efwd/e
- efwd/e p 1
- and
99Covered Interest Rate Parity
- Start with
- (1iNY)/(1iLondon)(1p)
- Rearrange
- (1iNY)(1iLondon) 1 p
- (1iNY)/(1iLondon) - (1iLondon)/ )(1iLondon)
p - (iNY iLondon)/ (1 iLondon) p
- which is almost the same as
- (iNY iLondon) p
100Covered Interest Parity
- Start with
- (1iNY)/(1iLondon)(1p)
- Rearrange
- (1iNY)(1iLondon) 1 p
- (1iNY)/(1iLondon) - (1iLondon)/ )(1iLondon)
p - (iNY iLondon)/ (1 iLondon) p
- which is almost the same as
- (iNY iLondon) p
101Covered Interest Parity
- As the title of the last few slides suggest, the
equality - (iNY iLondon) p
- is called covered interest parity
- Covered interest parity tells us that there is a
45 degree line that relates the difference in
interest rates to the forward premium
102Covered Interest Parity
iNY iLondon ()
CIP
p (-)
p ()
iNY iLondon (-)
103Covered Interest Parity
- Note
- If the interest rate in New York is higher than
that expected for interest rate parity, we would
expect the interest rate difference to fall, or
the exchange rate premium to rise, or both. - If the interest rate in New York is lower than
that expected for interest rate parity, we would
expect the interest rate difference to rise, or
the exchange rate premium to fall, or both. - There is some room for transactions costs, and so
the equality will be approximate.
104Covered Interest Parity and Uncovered Interest
Parity
- We could do the same graph for uncovered interest
parity, simply changing p to xa. - There is some room for transactions costs, and so
the equality will be approximate. - If CIP holds the foreign currency premium is
equal to the difference in interest rates between
the two countries - If UIP also holds, it means the expected
appreciation of the foreign currency is also
equal to the difference between the two interest
rates. - If this is the case, we say we have an efficient
foreign exchange market
105Market adjustments
- We now have linked
- interest rates in New York to
- interest rates in London,
- the spot exchange rate and the
- forward exchange rate.
- Lets consider a disequilibrium situation and see
how the markets adjust. - If iNY iLondon gt p .
106Market adjustments
- In the London money market there would be an
decrease in supply of money as investment flows
to New York - In the London exchange market there would be an
increase in supply of currency as investors sell
s to buy s to invest in New York
107Market adjustments
- In the New York money market there would be an
increase in supply of money as investment flows
to New York - In the forward exchange market there would be an
increase in demand for currency as investors want
to buy s in the future to repatriate s invested
in New York
108Market adjustments
- In the investment markets, the decrease in supply
of funds in London and the increase of supply of
funds in New York push the interest rates to
decrease the differential. - In the currency market, the increase in supply of
currency in the spot market and increased demand
in the forward market cause the premium to rise. - Both these moves would get the markets back to
CIP.
109You do
- Reproduce the four graphs from the book for the
case where - iNY iLondon gt p