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The Spot Market forThe Spot Market for
Foreign ExchangeForeign Exchange
Spot Market Daniels and VanHoose 2
Market Characteristics:
An Interbank Market
• The spot market is a market for immediate
delivery (2 to 3 days).
• Primarily an interbank market, which is the
trading of foreign-currency-denominated
deposits between large banks.
• Approximately $US1.4 - 1.6 trillion daily in
global transactions.
Spot Market Daniels and VanHoose 3
Market Quotes: The WSJ
Currency Trading Table
• Provides spot and forward rates. Forward
rates are for forward contracts, or the future
delivery of a currency.
• US $ equivalent is the dollar price of a
foreign currency.
• Currency per US $ is the foreign currency
price of one US dollar.
Spot Market Daniels and VanHoose 4
Market Quotes:
Direct - Indirect Quotes
• Direct quote is the home currency price of a
foreign currency.
• Indirect quote is the foreign currency price
of the home currency.
Spot Market Daniels and VanHoose 5
Appreciating and
Depreciating Currencies
• A currency that has lost value relative to
another currency is said to have
depreciated.
• A currency that has gained value relative to
another currency is said to have
appreciated.
• This terms relate to the market process and
are different from devaluation and
revaluation (Chapter 3).
Spot Market Daniels and VanHoose 6
Appreciating and
Depreciating Currencies
• We use the percentage change formula to
calculate the amount of depreciation.
• Example, on Monday, the peso traded at
0.1021 $/P. On Tuesday the market closed
at 0.1025 $/P.
• The peso has appreciated, as it now takes
more $ to purchase each peso.
Spot Market Daniels and VanHoose 7
Appreciating and
Depreciating Currencies
• Example, on Monday, the peso traded at
0.1021 $/P. On Tuesday the market closed
at 0.1025 $/P.
• The amount of appreciation is:
[(0.1025 - 0.1021)/0.1021] * 100 = 0.39%
Spot Market Daniels and VanHoose 8
Bid - Ask Spreads:
Example from Financial Times
• The bid is the price the bank is willing to
pay for the currency, e.g., 0.9002 $/€ is the
bid on the euro in terms of the dollar.
• The ask is what the bank is willing to sell
the currency for, e.g. 0.9010 $/€, is the ask
on the euro in terms of the dollar.
Spot Market Daniels and VanHoose 9
Bid - Ask Spread:
Cost of Transacting
• The bid - ask spread of a currency reflects, in
general, the cost of transacting in that currency.
• It is calculated as the difference between the ask
and the bid.
• Example, 0.9020 - 0.9002 = 0.0018.
Spot Market Daniels and VanHoose 10
Bid - Ask Margin:
Percent Cost of Transacting
• The bid - ask spread can be converted into a
percent to compare the cost of transacting among a
number of currencies.
• The margin is calculated as the spread as a percent
of the ask.
• (Ask - Bid)/Ask * 100
• Example, (0.9020 - 0.9002)/9.020 * 100 = 0.20%.
Spot Market Daniels and VanHoose 11
Cross-Rates: Unobserved Rates
• A cross-rate is an unobserved rate that is
calculated from two observed rates.
• For example, the spot rate for the Canadian
dollar is 0.6770 $/C$, and the spot rate on the
euro is 0.9002 $/€. What is the Canadian dollar
price of the euro (C$/€)?
• Note that ($/€)/($/C$) = ($/€)*(C$/$)=C$/€.
• In this example, 0.9002/0.6770 = 1.3297 C$/€.
Spot Market Daniels and VanHoose 12
Arbitrage:
Consistency of Cross Rates
• Arbitrage is the simultaneous buying and
selling to profit (as opposed to speculation).
• The ability of market participants to
arbitrage guarantees that cross rates will be,
in general, consistent.
• If a cross rate is not consistent, the actions
of currency traders (arbitrage) will bring the
respective currencies in line.
Spot Market Daniels and VanHoose 13
Spatial Arbitrage
• Spatial Arbitrage refers to buying a
currency in one market and selling it in
another.
• Price differences arise from geographical
(spatial) dispersed markets.
• Due to the low-cost rapid-information
nature of the foreign exchange market,
these prices differences are arbitraged away
quickly.
Spot Market Daniels and VanHoose 14
Triangular Arbitrage
• Triangular arbitrage involves a third currency
and/or market.
• Arbitrage opportunities exist if an observed rate
in another market is not consistent with a cross-
rate (ignoring transaction costs).
• Again, profit opportunities are likely to be
arbitraged away quickly, meaning that cross-
rates are, for the most part, consistent with
observed rates.
Spot Market Daniels and VanHoose 15
Triangular Arbitrage: An Example
• The British pound is trading for 1.455 ($/£)
and the Thai baht for 0.024 ($/b) in New
York, while the Thai baht is trading for 0.012
(£/b) in London.
• The cross-rate in New York is:
0.024/1.455 = 0.016 (£/b)
• Hence, an arbitrage opportunity exists.
Spot Market Daniels and VanHoose 16
Example Continued
• A trader with $1, could buy £0.687 in
New York.
• The £0.687 would purchase b57.274 in
London.
• The b57.274 purchases $1.375 in New
York, or 37.5% profit on the transaction.
• To understand the arbitrage opportunity,
remember “buy low, sell high.”
Real Exchange Rates:Real Exchange Rates:
Measuring RelativeMeasuring Relative
Purchasing PowerPurchasing Power
Spot Market Daniels and VanHoose 18
Real Exchange Rates
Real Measures
• Nominal variables, such as an exchange
rate, do not consider changes in prices
over time.
• Real variables, on the other hand,
include price changes.
• A real exchange rate, therefore, accounts
for relative price changes.
Spot Market Daniels and VanHoose 19
Real Exchange Rates
• A nominal exchange rate indicates the purchasing
power of one nation’s currency over the currency
of another nation.
• Real exchange rates indicate the purchasing power
of a nation’s residents for foreign goods and
services relative to their purchasing power for
domestic goods and services.
• A real exchange rate is an index. Hence, we
compare its value for one period against its value
in another period.
Spot Market Daniels and VanHoose 20
Real Exchange Rates
An Example
• In 1996 the spot rate between the dollar and the
pound was 0.6536 (£/$).
• In 2000 the rate was 0.6873.
• Hence, the pound depreciated relative to the dollar
by 5.16 percent {[(0.6873-0.6536)/0.6536]*100}.
• Based on this alone, the purchasing power of US
residents for British goods and services (relative to
US goods and services) rose by 5.16 percent.
Spot Market Daniels and VanHoose 21
Example: Continued
• Suppose in 1996 the British CPI was 156.4 and
the US CPI was 154.7. In 2000, the CPI’s were
170.5 and 172.7 respectively.
• Based on this, British prices rose 9.0 percent while
US prices rose 11.6 percent, a 2.6 difference.
• Since the prices of British goods and services rose
slower than the prices of US goods and services,
there was an increase in purchasing power of
British goods and services relative to the
purchasing power of US goods and services.
Spot Market Daniels and VanHoose 22
Combining the Two Effects
• A real exchange rate combines these two effects -
the gain in purchasing power of US residents due
to the nominal depreciation of the pound and the
gain in relative purchasing power due to British
prices rising at a slower rate than US prices.
• To construct a real exchange rate, the spot rate, as
it is quoted here, is multiplied by the ratio of the
US CPI to the UK CPI.
(£/$) x (US CPI/UK CPI)
Spot Market Daniels and VanHoose 23
Combining the Two Effects
• 1996 Real Rate = 0.6536 x (154.7/156.4) =
0.6465.
• 2000 Real Rate = 0.6873 x (172.7/170.5) =
0.6962.
• The real depreciation of the pound was 7.69
percent.
Spot Market Daniels and VanHoose 24
Conclusion
• The nominal exchange rate change resulted in a
5.2 percent gain in the purchasing power of UK
goods and services for US residents.
• The difference in price changes resulted in a 2.6
percent gain in purchasing power of UK goods
and services relative to US goods and services for
US residents.
• Note how the 5.2 percent decline was augmented
by the 2.6 gain, resulting in an overall 7.7 percent
gain in purchasing power.
Spot Market Daniels and VanHoose 25
More on Prices and the
Exchange Rate
• A Hitchhiker’s Guide to Understanding
Exchange Rates by Owen Humpage, an
economic advisor at the Federal Reserve
bank of Cleveland, is a very helpful article
on prices and real exchange values.
Effective Exchange RateEffective Exchange Rate
A measure of the general value of a
currency.
Spot Market Daniels and VanHoose 27
Effective Exchange Rate
• On any given day, a currency may appreciate in
value relative to some currencies while
depreciating in value against others.
• An effective exchange rate is a measure of the
weighted-average value of a currency relative to a
select group of currencies.
• Thus, it is a guide to the general value of the
currency.
Spot Market Daniels and VanHoose 28
Weighted Average Value
• To construct an EER, we must first pick a
set of currencies we are most interested in.
• Next, we must assign relative weights. In
the following example, we weight the
currency according to the country’s
importance as a trading partner.
Spot Market Daniels and VanHoose 29
Weights
• Suppose that of all the trade of the US with
Canada, Mexico, and the UK, Canada
accounts for 50 percent, Mexico for 30
percent, and the UK for 20 percent.
• These constitute our weights (0.50, 0.30,
and 0.20).
• Now consider the following exchange rate
data.
Spot Market Daniels and VanHoose 30
Exchange Rate Data
Today Year Ago
$C 1.44 1.52
P 9.56 10.19
£ 0.62 0.61
Spot Market Daniels and VanHoose 31
Calculating the EER
• The EER is calculating by summing the
weighted values of the current period
rate relative to the base year rate.
• The weighted-average value is calculated
as:
(weight i)•(current exchange value i)/(base exchange
value i)
where i represents each individual country
included in the weighted average.
Spot Market Daniels and VanHoose 32
Calculating the EER
• Commonly this sum is multiplied by 100 to
express the EER on a 100 basis.
• Hence, an EER is an index.
• As we shall see next, the base-year value of
the index is 100.
• The index, therefore, is useful is showing
changes in the weighted average value from
one period to another.
Spot Market Daniels and VanHoose 33
Example
• Let last year be the base year.
• The effective exchange rate last year was:
[(1.52/1.52)*0.50 + (10.19/10.19)*0.30
+ (0.61/.61)*0.20]*100
= 100.
• As with any index measure, the base year
value is 100.
Spot Market Daniels and VanHoose 34
Example
• Today’s value of the EER is:
(1.44/1.52)*0.50 + (9.56/10.19)*0.30
+ (0.62/0.61)*0.20
• or (0.958) 95.8
• The dollar, therefore, has experienced a 4.2
percent depreciation in weighted value.
Spot Market Daniels and VanHoose 35
Effective Exchange Measures
• There are a number of effective exchange
measures available in the popular press.
Some common measures are:
• Bank of England Index: The Economist.
• J.P. Morgan: The Wall Street Journal and
the Financial Times.
0
20
40
60
80
100
120
140
160
180
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
United States
Japan
United Kingdom
The Demand for and SupplyThe Demand for and Supply
of Currenciesof Currencies
A Derived Demand
Spot Market Daniels and VanHoose 38
The Demand for a Currency
• The demand for a currency is a derived
demand. That is, the demand for the
currency is derived from the demand for the
goods, services, and financial assets the
currency is used to purchase.
• If, for example, foreign demand for
European goods and services increases, the
demand for the euro increases.
Spot Market Daniels and VanHoose 39
The Demand Curve is
Downward Sloping
• If, for example, the euro depreciates, European
goods, services, and financial assets become less
expensive to foreign residents. Foreign residents
will increase their quantity demanded of the euro
to purchase more European goods, services, and
financial assets.
• The downward slope of the demand curve shows
the negative relationship between the exchange
rate and the quantity demanded.
Spot Market Daniels and VanHoose 40
The Demand Curve
Demand
S ($/€)
Quantity €
S0
Q0
S1
Q1
Spot Market Daniels and VanHoose 41
Important Note
• It is vital to construct and label supply and
demand diagrams properly.
• Note here we are diagramming the market for the
euro. Hence, it is crucial to represent the correct
exchange rate on the vertical axis.
• The correct exchange rate is one that reflects the
“price” of the euro. That is, it must be an indirect
quote.
Spot Market Daniels and VanHoose 42
An Increase in Demand
• Consider an increase in the demand for the euro.
• Suppose, for example, that savers desire euro-
denominated financial assets relative to
dollar-denominated financial assets because of a
change in economic conditions.
• The demand for the euro rises as savers desire
more euros to purchase greater amounts of
European financial assets.
Spot Market Daniels and VanHoose 43
An Increase in Demand for the Euro
Demand
S ($/€)
Quantity €
S0
Q0
D’
Q1
Spot Market Daniels and VanHoose 44
The Supply of a Currency
• The supply of a currency is also a derived
demand.
• Consider the demand schedule for the
dollar. If the dollar depreciates relative to
the euro, there is an increase in the quantity
demanded of dollars.
• As more dollars are purchased, the quantity
of euros supplied in the foreign exchange
market increases.
Spot Market Daniels and VanHoose 45
The Supply of a Currency
S€
S ($/€)
S1
S0
Q0 Q1
A
B
Quantity€
Dollar depreciation
Spot Market Daniels and VanHoose 46
Equilibrium
• The market is in equilibrium when the
quantity supplied of a currency is equal to
the quantity demanded.
• This is the market clearing exchange rate
because there is no surplus or shortage of
the currency.
Spot Market Daniels and VanHoose 47
Equilibrium
S€
S ($/€)
S0
Q0
A
D€
Quantity€
Spot Market Daniels and VanHoose 48
Increase in the Demand
for the Euro
S€
S ($/€)
S0
Q0
D€
Quantity€
D’€
Q1
S1
Spot Market Daniels and VanHoose 49
Over and Under-Valued Currencies
• If a currency’s value is market determined,
how can it be over- or under-valued?
• A currency is said to be over- or under-
valued if the market exchange rate is
different from the rate that a model or
individual predicts to be the “correct” rate.
• In other words, the individual believes the
market “has it wrong.”
Spot Market Daniels and VanHoose 50
Over and Under-Valued Currencies
S€
S ($/€)
S0
Q0
D€
Quantity€
S*
The euro is undervalued
Spot Market Daniels and VanHoose 51
Undervalued
• In the previous slide, the euro is said to be
undervalued.
• The predicted or expected spot rate, S*, lies
above the market determined rate, S0.
• Hence, it should take a greater amount of
dollars to buy each euro. The euro,
therefore, is underpriced, or undervalued.
Purchasing Power ParityPurchasing Power Parity
Spot Market Daniels and VanHoose 53
Purchasing Power Parity
Absolute or the Law of One Price
• Suppose The Economist magazine sells for
£2.50 in the UK and $3.95 in the US.
• Arbitrage, therefore, should guarantee that the
exchange rate between the dollar and the pound
be s = 3.95/2.50 = 1.580 ($/£).
• In words, the dollar price of The Economist in
the UK should equal the dollar price of the
Economist in the US (ignoring transportation
costs).
Spot Market Daniels and VanHoose 54
Absolute PPP
• Absolute PPP is expressed as P = P*×S,
where P is the domestic price, P* is the
foreign price, and S is the spot rate,
expressed as domestic to foreign currency
units.
• Often it is rearranged as: S = P/P*.
Spot Market Daniels and VanHoose 55
Absolute PPP as a Guide to
Exchange Values
• Suppose the actual spot rate pertaining to the
previous example is 1.480 whereas PPP says the
rate should be 1.580.
• Only a slight difference exists, but we can
conclude (for instructional purposes) that the
pound is undervalued relative to the dollar.
• In percentage terms (1.580-1.480)/1.480 × 100 =
6.76 percent.
Spot Market Daniels and VanHoose 56
Relative PPP - A Weaker Version
• Rearrange APPP to S = P/P*.
• Divide one period equation by another period,
e.g., S1/S0= (P1/P0)/(P*1/P*0)
• Rearrange as: S1 = S0(P1/P0)/(P*1/P*0)
• Can be used as a “model” of exchange rate
movements.
• Note that the emphasis is on exchange rate
movements, not levels, though it may appear
otherwise.
Spot Market Daniels and VanHoose 57
Example
• Suppose the exchange rate between the
dollar and the pound was 1.58 in 1999 and
is 1.60 today. Further, the UK CPI was 110
and is now 115, while the US CPI was 108
and is now111.
• Plugging this into the formula we have
• st = (1.58)×[(111/108)/(115/110)] = 1.55
• Hence the £ is overvalued (3.125%).
Spot Market Daniels and VanHoose 58
Another Expression
• Often economists will take the log of the previous
expression of RPPP to obtain the following.
  - * = S
• In words, domestic inflation less foreign inflation
should equal the change in the spot rate.
• Implies that the higher inflation country should see
its currency depreciate.

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FX Spot Market Overview

  • 1. The Spot Market forThe Spot Market for Foreign ExchangeForeign Exchange
  • 2. Spot Market Daniels and VanHoose 2 Market Characteristics: An Interbank Market • The spot market is a market for immediate delivery (2 to 3 days). • Primarily an interbank market, which is the trading of foreign-currency-denominated deposits between large banks. • Approximately $US1.4 - 1.6 trillion daily in global transactions.
  • 3. Spot Market Daniels and VanHoose 3 Market Quotes: The WSJ Currency Trading Table • Provides spot and forward rates. Forward rates are for forward contracts, or the future delivery of a currency. • US $ equivalent is the dollar price of a foreign currency. • Currency per US $ is the foreign currency price of one US dollar.
  • 4. Spot Market Daniels and VanHoose 4 Market Quotes: Direct - Indirect Quotes • Direct quote is the home currency price of a foreign currency. • Indirect quote is the foreign currency price of the home currency.
  • 5. Spot Market Daniels and VanHoose 5 Appreciating and Depreciating Currencies • A currency that has lost value relative to another currency is said to have depreciated. • A currency that has gained value relative to another currency is said to have appreciated. • This terms relate to the market process and are different from devaluation and revaluation (Chapter 3).
  • 6. Spot Market Daniels and VanHoose 6 Appreciating and Depreciating Currencies • We use the percentage change formula to calculate the amount of depreciation. • Example, on Monday, the peso traded at 0.1021 $/P. On Tuesday the market closed at 0.1025 $/P. • The peso has appreciated, as it now takes more $ to purchase each peso.
  • 7. Spot Market Daniels and VanHoose 7 Appreciating and Depreciating Currencies • Example, on Monday, the peso traded at 0.1021 $/P. On Tuesday the market closed at 0.1025 $/P. • The amount of appreciation is: [(0.1025 - 0.1021)/0.1021] * 100 = 0.39%
  • 8. Spot Market Daniels and VanHoose 8 Bid - Ask Spreads: Example from Financial Times • The bid is the price the bank is willing to pay for the currency, e.g., 0.9002 $/€ is the bid on the euro in terms of the dollar. • The ask is what the bank is willing to sell the currency for, e.g. 0.9010 $/€, is the ask on the euro in terms of the dollar.
  • 9. Spot Market Daniels and VanHoose 9 Bid - Ask Spread: Cost of Transacting • The bid - ask spread of a currency reflects, in general, the cost of transacting in that currency. • It is calculated as the difference between the ask and the bid. • Example, 0.9020 - 0.9002 = 0.0018.
  • 10. Spot Market Daniels and VanHoose 10 Bid - Ask Margin: Percent Cost of Transacting • The bid - ask spread can be converted into a percent to compare the cost of transacting among a number of currencies. • The margin is calculated as the spread as a percent of the ask. • (Ask - Bid)/Ask * 100 • Example, (0.9020 - 0.9002)/9.020 * 100 = 0.20%.
  • 11. Spot Market Daniels and VanHoose 11 Cross-Rates: Unobserved Rates • A cross-rate is an unobserved rate that is calculated from two observed rates. • For example, the spot rate for the Canadian dollar is 0.6770 $/C$, and the spot rate on the euro is 0.9002 $/€. What is the Canadian dollar price of the euro (C$/€)? • Note that ($/€)/($/C$) = ($/€)*(C$/$)=C$/€. • In this example, 0.9002/0.6770 = 1.3297 C$/€.
  • 12. Spot Market Daniels and VanHoose 12 Arbitrage: Consistency of Cross Rates • Arbitrage is the simultaneous buying and selling to profit (as opposed to speculation). • The ability of market participants to arbitrage guarantees that cross rates will be, in general, consistent. • If a cross rate is not consistent, the actions of currency traders (arbitrage) will bring the respective currencies in line.
  • 13. Spot Market Daniels and VanHoose 13 Spatial Arbitrage • Spatial Arbitrage refers to buying a currency in one market and selling it in another. • Price differences arise from geographical (spatial) dispersed markets. • Due to the low-cost rapid-information nature of the foreign exchange market, these prices differences are arbitraged away quickly.
  • 14. Spot Market Daniels and VanHoose 14 Triangular Arbitrage • Triangular arbitrage involves a third currency and/or market. • Arbitrage opportunities exist if an observed rate in another market is not consistent with a cross- rate (ignoring transaction costs). • Again, profit opportunities are likely to be arbitraged away quickly, meaning that cross- rates are, for the most part, consistent with observed rates.
  • 15. Spot Market Daniels and VanHoose 15 Triangular Arbitrage: An Example • The British pound is trading for 1.455 ($/£) and the Thai baht for 0.024 ($/b) in New York, while the Thai baht is trading for 0.012 (£/b) in London. • The cross-rate in New York is: 0.024/1.455 = 0.016 (£/b) • Hence, an arbitrage opportunity exists.
  • 16. Spot Market Daniels and VanHoose 16 Example Continued • A trader with $1, could buy £0.687 in New York. • The £0.687 would purchase b57.274 in London. • The b57.274 purchases $1.375 in New York, or 37.5% profit on the transaction. • To understand the arbitrage opportunity, remember “buy low, sell high.”
  • 17. Real Exchange Rates:Real Exchange Rates: Measuring RelativeMeasuring Relative Purchasing PowerPurchasing Power
  • 18. Spot Market Daniels and VanHoose 18 Real Exchange Rates Real Measures • Nominal variables, such as an exchange rate, do not consider changes in prices over time. • Real variables, on the other hand, include price changes. • A real exchange rate, therefore, accounts for relative price changes.
  • 19. Spot Market Daniels and VanHoose 19 Real Exchange Rates • A nominal exchange rate indicates the purchasing power of one nation’s currency over the currency of another nation. • Real exchange rates indicate the purchasing power of a nation’s residents for foreign goods and services relative to their purchasing power for domestic goods and services. • A real exchange rate is an index. Hence, we compare its value for one period against its value in another period.
  • 20. Spot Market Daniels and VanHoose 20 Real Exchange Rates An Example • In 1996 the spot rate between the dollar and the pound was 0.6536 (£/$). • In 2000 the rate was 0.6873. • Hence, the pound depreciated relative to the dollar by 5.16 percent {[(0.6873-0.6536)/0.6536]*100}. • Based on this alone, the purchasing power of US residents for British goods and services (relative to US goods and services) rose by 5.16 percent.
  • 21. Spot Market Daniels and VanHoose 21 Example: Continued • Suppose in 1996 the British CPI was 156.4 and the US CPI was 154.7. In 2000, the CPI’s were 170.5 and 172.7 respectively. • Based on this, British prices rose 9.0 percent while US prices rose 11.6 percent, a 2.6 difference. • Since the prices of British goods and services rose slower than the prices of US goods and services, there was an increase in purchasing power of British goods and services relative to the purchasing power of US goods and services.
  • 22. Spot Market Daniels and VanHoose 22 Combining the Two Effects • A real exchange rate combines these two effects - the gain in purchasing power of US residents due to the nominal depreciation of the pound and the gain in relative purchasing power due to British prices rising at a slower rate than US prices. • To construct a real exchange rate, the spot rate, as it is quoted here, is multiplied by the ratio of the US CPI to the UK CPI. (£/$) x (US CPI/UK CPI)
  • 23. Spot Market Daniels and VanHoose 23 Combining the Two Effects • 1996 Real Rate = 0.6536 x (154.7/156.4) = 0.6465. • 2000 Real Rate = 0.6873 x (172.7/170.5) = 0.6962. • The real depreciation of the pound was 7.69 percent.
  • 24. Spot Market Daniels and VanHoose 24 Conclusion • The nominal exchange rate change resulted in a 5.2 percent gain in the purchasing power of UK goods and services for US residents. • The difference in price changes resulted in a 2.6 percent gain in purchasing power of UK goods and services relative to US goods and services for US residents. • Note how the 5.2 percent decline was augmented by the 2.6 gain, resulting in an overall 7.7 percent gain in purchasing power.
  • 25. Spot Market Daniels and VanHoose 25 More on Prices and the Exchange Rate • A Hitchhiker’s Guide to Understanding Exchange Rates by Owen Humpage, an economic advisor at the Federal Reserve bank of Cleveland, is a very helpful article on prices and real exchange values.
  • 26. Effective Exchange RateEffective Exchange Rate A measure of the general value of a currency.
  • 27. Spot Market Daniels and VanHoose 27 Effective Exchange Rate • On any given day, a currency may appreciate in value relative to some currencies while depreciating in value against others. • An effective exchange rate is a measure of the weighted-average value of a currency relative to a select group of currencies. • Thus, it is a guide to the general value of the currency.
  • 28. Spot Market Daniels and VanHoose 28 Weighted Average Value • To construct an EER, we must first pick a set of currencies we are most interested in. • Next, we must assign relative weights. In the following example, we weight the currency according to the country’s importance as a trading partner.
  • 29. Spot Market Daniels and VanHoose 29 Weights • Suppose that of all the trade of the US with Canada, Mexico, and the UK, Canada accounts for 50 percent, Mexico for 30 percent, and the UK for 20 percent. • These constitute our weights (0.50, 0.30, and 0.20). • Now consider the following exchange rate data.
  • 30. Spot Market Daniels and VanHoose 30 Exchange Rate Data Today Year Ago $C 1.44 1.52 P 9.56 10.19 £ 0.62 0.61
  • 31. Spot Market Daniels and VanHoose 31 Calculating the EER • The EER is calculating by summing the weighted values of the current period rate relative to the base year rate. • The weighted-average value is calculated as: (weight i)•(current exchange value i)/(base exchange value i) where i represents each individual country included in the weighted average.
  • 32. Spot Market Daniels and VanHoose 32 Calculating the EER • Commonly this sum is multiplied by 100 to express the EER on a 100 basis. • Hence, an EER is an index. • As we shall see next, the base-year value of the index is 100. • The index, therefore, is useful is showing changes in the weighted average value from one period to another.
  • 33. Spot Market Daniels and VanHoose 33 Example • Let last year be the base year. • The effective exchange rate last year was: [(1.52/1.52)*0.50 + (10.19/10.19)*0.30 + (0.61/.61)*0.20]*100 = 100. • As with any index measure, the base year value is 100.
  • 34. Spot Market Daniels and VanHoose 34 Example • Today’s value of the EER is: (1.44/1.52)*0.50 + (9.56/10.19)*0.30 + (0.62/0.61)*0.20 • or (0.958) 95.8 • The dollar, therefore, has experienced a 4.2 percent depreciation in weighted value.
  • 35. Spot Market Daniels and VanHoose 35 Effective Exchange Measures • There are a number of effective exchange measures available in the popular press. Some common measures are: • Bank of England Index: The Economist. • J.P. Morgan: The Wall Street Journal and the Financial Times.
  • 37. The Demand for and SupplyThe Demand for and Supply of Currenciesof Currencies A Derived Demand
  • 38. Spot Market Daniels and VanHoose 38 The Demand for a Currency • The demand for a currency is a derived demand. That is, the demand for the currency is derived from the demand for the goods, services, and financial assets the currency is used to purchase. • If, for example, foreign demand for European goods and services increases, the demand for the euro increases.
  • 39. Spot Market Daniels and VanHoose 39 The Demand Curve is Downward Sloping • If, for example, the euro depreciates, European goods, services, and financial assets become less expensive to foreign residents. Foreign residents will increase their quantity demanded of the euro to purchase more European goods, services, and financial assets. • The downward slope of the demand curve shows the negative relationship between the exchange rate and the quantity demanded.
  • 40. Spot Market Daniels and VanHoose 40 The Demand Curve Demand S ($/€) Quantity € S0 Q0 S1 Q1
  • 41. Spot Market Daniels and VanHoose 41 Important Note • It is vital to construct and label supply and demand diagrams properly. • Note here we are diagramming the market for the euro. Hence, it is crucial to represent the correct exchange rate on the vertical axis. • The correct exchange rate is one that reflects the “price” of the euro. That is, it must be an indirect quote.
  • 42. Spot Market Daniels and VanHoose 42 An Increase in Demand • Consider an increase in the demand for the euro. • Suppose, for example, that savers desire euro- denominated financial assets relative to dollar-denominated financial assets because of a change in economic conditions. • The demand for the euro rises as savers desire more euros to purchase greater amounts of European financial assets.
  • 43. Spot Market Daniels and VanHoose 43 An Increase in Demand for the Euro Demand S ($/€) Quantity € S0 Q0 D’ Q1
  • 44. Spot Market Daniels and VanHoose 44 The Supply of a Currency • The supply of a currency is also a derived demand. • Consider the demand schedule for the dollar. If the dollar depreciates relative to the euro, there is an increase in the quantity demanded of dollars. • As more dollars are purchased, the quantity of euros supplied in the foreign exchange market increases.
  • 45. Spot Market Daniels and VanHoose 45 The Supply of a Currency S€ S ($/€) S1 S0 Q0 Q1 A B Quantity€ Dollar depreciation
  • 46. Spot Market Daniels and VanHoose 46 Equilibrium • The market is in equilibrium when the quantity supplied of a currency is equal to the quantity demanded. • This is the market clearing exchange rate because there is no surplus or shortage of the currency.
  • 47. Spot Market Daniels and VanHoose 47 Equilibrium S€ S ($/€) S0 Q0 A D€ Quantity€
  • 48. Spot Market Daniels and VanHoose 48 Increase in the Demand for the Euro S€ S ($/€) S0 Q0 D€ Quantity€ D’€ Q1 S1
  • 49. Spot Market Daniels and VanHoose 49 Over and Under-Valued Currencies • If a currency’s value is market determined, how can it be over- or under-valued? • A currency is said to be over- or under- valued if the market exchange rate is different from the rate that a model or individual predicts to be the “correct” rate. • In other words, the individual believes the market “has it wrong.”
  • 50. Spot Market Daniels and VanHoose 50 Over and Under-Valued Currencies S€ S ($/€) S0 Q0 D€ Quantity€ S* The euro is undervalued
  • 51. Spot Market Daniels and VanHoose 51 Undervalued • In the previous slide, the euro is said to be undervalued. • The predicted or expected spot rate, S*, lies above the market determined rate, S0. • Hence, it should take a greater amount of dollars to buy each euro. The euro, therefore, is underpriced, or undervalued.
  • 53. Spot Market Daniels and VanHoose 53 Purchasing Power Parity Absolute or the Law of One Price • Suppose The Economist magazine sells for £2.50 in the UK and $3.95 in the US. • Arbitrage, therefore, should guarantee that the exchange rate between the dollar and the pound be s = 3.95/2.50 = 1.580 ($/£). • In words, the dollar price of The Economist in the UK should equal the dollar price of the Economist in the US (ignoring transportation costs).
  • 54. Spot Market Daniels and VanHoose 54 Absolute PPP • Absolute PPP is expressed as P = P*×S, where P is the domestic price, P* is the foreign price, and S is the spot rate, expressed as domestic to foreign currency units. • Often it is rearranged as: S = P/P*.
  • 55. Spot Market Daniels and VanHoose 55 Absolute PPP as a Guide to Exchange Values • Suppose the actual spot rate pertaining to the previous example is 1.480 whereas PPP says the rate should be 1.580. • Only a slight difference exists, but we can conclude (for instructional purposes) that the pound is undervalued relative to the dollar. • In percentage terms (1.580-1.480)/1.480 × 100 = 6.76 percent.
  • 56. Spot Market Daniels and VanHoose 56 Relative PPP - A Weaker Version • Rearrange APPP to S = P/P*. • Divide one period equation by another period, e.g., S1/S0= (P1/P0)/(P*1/P*0) • Rearrange as: S1 = S0(P1/P0)/(P*1/P*0) • Can be used as a “model” of exchange rate movements. • Note that the emphasis is on exchange rate movements, not levels, though it may appear otherwise.
  • 57. Spot Market Daniels and VanHoose 57 Example • Suppose the exchange rate between the dollar and the pound was 1.58 in 1999 and is 1.60 today. Further, the UK CPI was 110 and is now 115, while the US CPI was 108 and is now111. • Plugging this into the formula we have • st = (1.58)×[(111/108)/(115/110)] = 1.55 • Hence the £ is overvalued (3.125%).
  • 58. Spot Market Daniels and VanHoose 58 Another Expression • Often economists will take the log of the previous expression of RPPP to obtain the following.   - * = S • In words, domestic inflation less foreign inflation should equal the change in the spot rate. • Implies that the higher inflation country should see its currency depreciate.