foreign exchange market notes
TRANSCRIPT
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1. The Theory of Comparative Advantage Liberalization of international trade will enhance
the overall social welfare.
Trade liberalization (economic integration)
Review of Week 1
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2Week Two
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Objective:
Todays class serves to introduce the institutional
framework within which exchange rates are
determined.
Todays class lays the foundation for much of the
discussion throughout the remainder of the
semester, thus it deserves your careful attention.
2Week TwoThe Market for
Foreign Exchange
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Foreign Exchange
1. Foreign exchanges are the institution or system
involved with changing one currency into
another.
2. Foreign exchange is used to refer toforeign
currency that is obtained through the foreign
exchange system.
source: Collins Cobuild Dictionary
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Function and Structure of the FX Market
The Spot Market
The Forward Market
Exchange-Traded Currency Funds
Function and Structure of the FX Market
FX Market Participants
Correspondent Banking Relationships
The Spot Market
The Forward Market
Exchange-Traded Currency Funds
Function and Structure of the FX Market
The Spot Market
Spot Rate Quotations
The Bid-Ask Spread
Spot FX Trading
Cross Exchange Rate Quotations
Triangular Arbitrage Spot Foreign Exchange Market Microstructure
The Forward Market
Function and Structure of the FX Market
The Spot Market
The Forward Market
Forward Rate Quotations
Long and Short Forward Positions
Forward Cross-Exchange Rates
Swap Transactions
Forward Premium
Exchange-Traded Currency Funds
Function and Structure of the FX Market
The Spot Market
The Forward Market
Topics
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Topics
Function and Structure of the FX Market
FX Market Participants
The Spot Market
The Forward Market
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Topics
Function and Structure of the FX Market
The Spot Market
Spot Rate Quotations
The Bid-Ask Spread
Cross Exchange Rate Quotations
Triangular Arbitrage
The Forward Market
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Topics
Function and Structure of the FX Market
The Spot Market
The Forward Market
Forward Rate Quotations
Long and Short Forward Positions
Forward Cross-Exchange Rates
Forward Premium
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Function and Structure of the FX Market
Over-the-counter (OTC) markets
No central market place
via telephones, computer terminals, and automated
dealing systems.
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Circadian Rhythms of the FX Market
05000
100001500020000
2500030000350004000045000
1:00
10 am inTokyo
3:00
Lunchhour inTokyo
5:00
Europecoming in
07:00 9:00
Asia goingout
11:00
Lunchhour in
London
13:00
Americascoming in
15:00 17:00
Londongoing out
19:00 21:00
NewZealand
coming in
23:00
6 pm inNY
Electronic Conversations per Houraverage peak
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FX Market Participants
The FX market is a two-tiered market: Interbank Market (Wholesale)
Client Market (Retail)
Market participants include: International banks
Bank customers
Nonbank dealers FX brokers
Central banks.
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FX Market Participants (contd)
International banks The core of FX market
About 100-200 banks worldwide stand ready to make a
market in foreign exchange
Bank customers MNCs, money managers, and private speculators.
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FX Market Participants (contd)
Nonbank dealers Investment banks, mutual funds, pension funds, and
hedge funds, etc.
FX brokers Fulfill the role of financial intermediary.
Match dealers (buyers and sellers) for a fee, but do nottake a position themselves
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FX Market Participants (contd)
Central bank Intervenes in the foreign exchange market in an attempt
to influence the price of its currency
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Topics
Function and Structure of the FX Market
FX Market Participants
The Spot Market
The Forward Market
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Topics
Function and Structure of the FX Market
The Spot Market
Spot Rate Quotations
The Bid-Ask Spread
Cross Exchange Rate Quotations
Triangular Arbitrage
The Forward Market
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Spot Rate Quotations
(All the following definitions treat the U.S. as the
home country.)
Direct quotation (or American terms)
the price of one unit of the foreign currency in U.S.
dollars
e.g. a Japanese Yen is worth about a penny
Indirect Quotation (or European terms) the price of a U.S. dollar in the foreign currency
e.g. you get 100 yen to the dollar
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Spot Rate Quotations
Country
USD equiv
Friday
USD equiv
Thursday
Currency per
USD Friday
Currency per
USD Thursday
Argentina (Peso) 0.3309 0.3292 3.0221 3.0377
Australia (Dollar) 0.7830 0.7836 1.2771 1.2762
Brazil (Real) 0.3735 0.3791 2.6774 2.6378
Britain (Pound) 1.9077 1.9135 0.5242 0.5226
1 Month Forward 1.9044 1.9101 0.5251 0.5235
3 Months Forward 1.8983 1.9038 0.5268 0.5253
6 Months Forward 1.8904 1.8959 0.5290 0.5275
Canada (Dollar) 0.8037 0.8068 1.2442 1.2395
1 Month Forward 0.8037 0.8069 1.2442 1.2393
3 Months Forward 0.8043 0.8074 1.2433 1.2385
6 Months Forward 0.8057 0.8088 1.2412 1.2364
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Spot Rate Quotations
The directquotefor British poundis:
1 = $1.9077
Country
USD equiv
Friday
USD equiv
Thursday
Currency per
USD Friday
Currency per
USD Thursday
Argentina (Peso) 0.3309 0.3292 3.0221 3.0377
Australia (Dollar) 0.7830 0.7836 1.2771 1.2762
Brazil (Real) 0.3735 0.3791 2.6774 2.6378
Britain (Pound) 1.9077 1.9135 0.5242 0.5226
1 Month Forward 1.9044 1.9101 0.5251 0.5235
3 Months Forward 1.8983 1.9038 0.5268 0.5253
6 Months Forward 1.8904 1.8959 0.5290 0.5275
Canada (Dollar) 0.8037 0.8068 1.2442 1.23951 Month Forward 0.8037 0.8069 1.2442 1.2393
3 Months Forward 0.8043 0.8074 1.2433 1.2385
6 Months Forward 0.8057 0.8088 1.2412 1.2364
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Spot Rate Quotations
The indirectquote for
British poundis:
.5242 = $1
Country
USD equiv
Friday
USD equiv
Thursday
Currency per
USD Friday
Currency per
USD Thursday
Argentina (Peso) 0.3309 0.3292 3.0221 3.0377
Australia (Dollar) 0.7830 0.7836 1.2771 1.2762
Brazil (Real) 0.3735 0.3791 2.6774 2.6378
Britain (Pound) 1.9077 1.9135 0.5242 0.5226
1 Month Forward 1.9044 1.9101 0.5251 0.5235
3 Months Forward 1.8983 1.9038 0.5268 0.5253
6 Months Forward 1.8904 1.8959 0.5290 0.5275
Canada (Dollar) 0.8037 0.8068 1.2442 1.23951 Month Forward 0.8037 0.8069 1.2442 1.2393
3 Months Forward 0.8043 0.8074 1.2433 1.2385
6 Months Forward 0.8057 0.8088 1.2412 1.2364
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Spot Rate Quotations
Note that thedirect quote isthe reciprocalof the indirect
quote:
5242.
19077.1
=
Country
USD equiv
Friday
USD equiv
Thursday
Currency per
USD Friday
Currency per
USD Thursday
Argentina (Peso) 0.3309 0.3292 3.0221 3.0377
Australia (Dollar) 0.7830 0.7836 1.2771 1.2762
Brazil (Real) 0.3735 0.3791 2.6774 2.6378
Britain (Pound) 1.9077 1.9135 0.5242 0.5226
1 Month Forward 1.9044 1.9101 0.5251 0.5235
3 Months Forward 1.8983 1.9038 0.5268 0.5253
6 Months Forward 1.8904 1.8959 0.5290 0.5275
Canada (Dollar) 0.8037 0.8068 1.2442 1.23951 Month Forward 0.8037 0.8069 1.2442 1.2393
3 Months Forward 0.8043 0.8074 1.2433 1.2385
6 Months Forward 0.8057 0.8088 1.2412 1.2364
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The Bid-Ask Spread
The bid price is the price at which a dealer want
to buy a currency.
The ask price is the price at which a dealer wantto sell a currency.
It doesnt matter if were talking used cars or used
currencies: the bid-ask spread is simply thedifference between the bid and ask prices.
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The Bid-Ask Spread
A dealer could offer bid price of $1.4739 per
ask price of $1.4744 per
While there are a variety of ways to quote that,the bid-ask spread represents the dealers
expected profit.
Bid-Ask Spread = Ask PriceBid Price
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The Bid-Ask Spread
A dealer pricing pounds in terms of dollars would likely quote
these prices as 1217.
USD Bank
Quotations
American Terms European Terms
Bid Ask Bid Ask
Pounds 1.9712 1.9717 .5072 .5073
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The Bid-Ask Spread
USD BankQuotations
Direct quotation Indirect quotation
Bid Ask Bid Ask
Pounds 1.9712 1.9717 .5072 .5073
Notice that the reciprocal
of the S($/) bid is the
S(/$) ask.
=1.00
$1.9712
.5073
$1.00
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Currency Conversion with Bid-Ask Spreads
A speculator in New York wants to take a $10,000
position in the pound.
After his trade, what will be his position?
1.971520
.507172
S($/)
S(/$)
Bid Ask
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Sample Problem
A businessman has just completed transactions in
Italy and England. He is now holding250,000
and 500,000 and wants to convert to U.S. dollars.
His currency dealer provides this quotation:GBP/USD 0.502576
USD/EUR 1.473944
Assuming no other fees, what are his proceeds
from conversion?
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Sample Problem Solution
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Cross Rates
Suppose that S($/) = 1.50
i.e. $1.50 =1.00
and that S($/) = 2.00
i.e. 1.00 = $2.00
What must the/ cross rate be?
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Cross Rate Bid-Ask Spread
To find the/ cross bid rate, consider a retail customer who:
USD BankQuotations
Direct quotation Indirect quotation
Bid Ask Bid Ask
Pounds 1.9712 1.9717 .5072 .5073
Euros 1.4738 1.4742 .6783 .6785
1 $1.9712
1.001
$1.4742 =1.3371
Starts with 1, sells for $, and then buy using $:
He has effectively sold at a/ bid price of1.3371/2-28
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Cross Rate Bid-Ask Spread
To find the / cross bid rate, consider a retail customer who:
USD BankQuotations
Direct quotation Indirect quotation
Bid Ask Bid Ask
Pounds 1.9712 1.9717 .5072 .5073
Euros 1.4738 1.4742 .6783 .6785
1 $1.47381.00
1$1.9717
= 0.7475
Starts with1, sells for $, and then sell $ for :
He has effectively sold at a / bid price of 0.7475/2-29
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Cross Rate Bid-Ask Spread
BankQuotations
S(/) S(/)
Bid Ask Bid Ask
: 0.7475 0.7479 1.3371 1.3378
Recall that the reciprocal of
the S(/) bid is the S(/) ask.=
.7475
1.00 1.3378
1.00
Recall that the reciprocal of
the S(/) bid is the S(/) ask.=
1.3371
1.00 .7479
1.00
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Triangular Arbitrage
What Does Triangular Arbitrage Mean?
The process of converting one currency to another, converting it
again to a third currency and, finally, converting it back to the
original currency within a short time span.
This opportunity for riskless profit arises when the currency'sexchange rates do not exactly match up. Triangular arbitrage
opportunities do not happen very often and when they do, they only
last for a matter of seconds.
Traders that take advantage of this type of arbitrage opportunityusually have advanced computer equipment and/or programs to
automate the process. (source: http://www.investopedia.com/terms/t/triangulararbitrage.asp)
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Triangular Arbitrage
$
HSBC
S(/$)=1.50
Credit Agricole
S(/)=85
Barclays
S(/$)=120
Suppose weobserve these
banks posting theseexchange rates.
First calculate any impliedcross rate to see if an
arbitrage opportunityexists.
1.00
80=
1.50 $1.00
$1.00 120
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Triangular Arbitrage
To evaluate if an arbitrage opportunity exists,
always ask the question:
Is the cross rate implied by the first two quotes
consistent with the third quote?
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Triangular Arbitrage
$
HSBC
S(/$)=1.50
Credit Agricole
S(/)=85
Barclays
S(/$)=120
The implied S(/) cross rate is
Credit Agricole has posted aquote ofS(/)=85 so thereis an arbitrage opportunity.
So, how can we make money?
1.00
80=
1.50 $1.00
$1.00 120
The price of is higher at Credit Agricole (CA) than the impliedprice from Barclays and HSBC => sell to CA.
BUY LOW SELL HIGH!
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Triangular Arbitrage
$
HSBC
S(/$)=1.50
Credit Agricole
S(/)=85
Barclays
S(/$)=120
1. Sell our $ to HSBCfor ,
2. Sell our to CA for,
3. Sell those to B for$.
1
2
3
$
It doesnt matter where you start the key is to go in
the right direction.
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Triangular Arbitrage
Sell$100,000 for at S(/$) = 1.50
receive 150,000
Sell our150,000 for at S(/) = 85
receive 12,750,000
Sell12,750,000 for $ at S(/$) = 120
receive $106,250
profit per round trip = $106,250 $100,000 = $6,250
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The Forward Market
Forward Rate Quotations
Long and Short Forward Positions
Forward Cross Exchange Rates
Forward Premium
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The Forward Market
A forward contract is an agreement to buy or sell
an asset in the future at prices agreed upon today.
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Forward Rate Quotations
The forward market for FX involves agreements
to buy and sell foreign currencies in the future at
prices agreed upon today.
Bank quotes for 1, 3, 6, 9, and 12 monthmaturities are readily available for forward
contracts.
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Forward Rate Quotations
Consider these exchange
rates: for British pounds,
the spot exchange rate is
$1.9717 = 1.00 whilethe 180-day forward rate
is $1.9593 = 1.00
Whats up with that?
Country/currency in US$ per US$
UK pound 1.9717 .5072
1-mos forward 1.9700 .5076
3-most forward 1.9663 .50866-mos forward 1.9593 .5104
Clearly market participants
expect that the pound willbe worth less in dollars in
six months.2-40
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Forward Premium
Forward premium (or discount) of a forward rate = Annualized
deviation of the forward rate from the spot rate.
For example, suppose the is appreciating from S($/) = 1.55 to
F180($/) = 1.60
The 180-day forward premium is given by:
= 0.0645 or
6.45%
1.601.55
1.55 2=f180,v$
F180($/)S($/)
S($/)=
360
180
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Long and Short Forward Positions
If you have agreed to sell anything (spot or
forward), you are short.
If you have agreed to buy anything (forward or
spot), you are long. If you have agreed to sell FX forward, you are
short.
If you have agreed to buy FX forward, you arelong.
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Payoff Profiles
0S180($/)
F180
($/) = .009524
Long position
loss
profitIf you agree to buy anything in the
future at a set price and the spot
price later rises then you gain.
If you agree to buy anything in the
future at a set price and the spot
price later falls then you lose.2-43
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Payoff Profiles
0S180($/)
F180
($/) = .009524
Short positionloss
profitIf you agree to sell anything in the
future at a set price and the spot
price later falls then you gain.
If you agree to sell anything in the
future at a set price and the spot
price later rises then you lose.2-44
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Forward Cross Exchange Rates
Its just an delayed example of the spot cross
rate discussed before.
In generic terms
)/($
)/($)/(
and
)/($
)/($)/(
kF
jFjkF
jF
kFkjF
N
NN
N
NN
=
=
Notice that the $s cancel.
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Forward Cross Rates
Currencies January 4, 2008
U.S.-dollar foreign-exchange rates in late New York trading.
--------Friday-------
Country/currency in US$ per US$
Euro area euro 1.4744 .6783
1-mos forward 1.4747 .6781
3-mos forward 1.4744 .6782
6-mos forward 1.4726 .6791
UK pound 1.9717 .50721-mos forward 1.9700 .5076
3-mos forward 1.9663 .5086
6-mos forward 1.9593 .5104
The 3-month forward /
cross rate is0.7498
1.00=
$1.4744 1.00
1.00 $1.9663
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Summary
Spot rate quotations
Direct and indirect quotes
Bid and ask prices
Cross Rates Triangular arbitrage
Forward Rate Quotations
Forward premium (discount) Forward points
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End of Week 2
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