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FIN 40500: International
Finance
Exchange Rate Management
Commitment

Exchange Rate Policy can be characterized
along two dimensions
Currency
Union (Euro)

Hard Peg
(China)

Pure Float
(USA)

Flexibility
With a hard peg, a currency’s price is held
permanently at a fixed level. For example, the
Chinese Yuan.

Flexibility

e
.1265

$1 = 7.90Yuan

Jan

Feb

Mar

Apr

May
With a soft peg, a currency’s price is returned
to the predefined parity at regular intervals
(monthly, weekly, etc). For example, the
Algerian Dinar.

Flexibility

e
$1 = 76 Dinar

.012

Jan

Feb

Mar

Apr

May
With an adjustable peg, the parity price is
adjusted as circumstances warrant (monthly,
weekly, etc). The Bretton Woods System was
an adjustable peg

Flexibility

e

Jan

Feb

Mar

Apr

May
With a crawling peg, a currency’s price is held
permanently at a fixed level, but that parity level
has prescheduled changes For example, the
Mexican Peso followed a crawling peg in the
1990s

Flexibility

e

Jan

Feb

Mar

Apr

May
With a target zone, a currency’s price
is held permanently between an upper
and lower bound. The Bretton Woods
system used 2% bands

Flexibility

e
+2%
-2%

Jan

Feb

Mar

Apr

May
From 1971 until 1987 the US followed a policy
of managed floating (market based exchange
rate with periodic “re-alignments”). A pure
float would have no such re-alignments.
USD/JPY

400.00

The Plaza Accord
(1985) purposely
devalued the dollar
against the Yen and
Deutschmark by
51%

350.00
300.00
250.00
200.00

The Louvre Accord
(1987) ended the
dollar devaluation
policy of the plaza
accord

150.00
100.00
50.00
0.00
Jan-71

Flexibility

Jan-75

Jan-79

Jan-83

Jan-87
Policies can also vary by the degree of commitment to the
policy

Commitment

Fixed Exchange Rate: This is simply a policy
decision of the government or central bank
and can be easily reversed (China).
Currency Boards: A currency board is a
monetary authority separate from (or in
replacement of) a country’s central bank
whose sole responsibility is maintaining
convertibility of the country’s currency. (Hong
Kong)
Dollarization/Currency Union: foreign money
replaces domestic money as official currency
(Panama)
Exchange Rate Systems
Pure Float
6%

Managed Float

21%

10%

5%

14%
20%

24%

Crawling Peg or
Band
Target Zone
Pure Peg
Currency Board
Dollarization
Currency Baskets




Some countries choose to peg to a “basket” of currencies rather
that a single currency. This basket will have a price equal to a
weighted average of the individual currencies
 Latvia: SDR (Euro, JPY, GBP, USD)
 Malta: Euro (67%), USD21%), GBP (12%)
 Iceland: Euro + 6 other countries
Why peg to a basket?
 Baskets of currency should exhibit less volatility that individual
currencies.
 The central bank has a wider choice of options for official
reserves
Costs/Benefits of Fixed Exchange
Rates


Main Benefit




Reduces uncertainty with regard to cross border
trade in both goods and assets

Main Cost


Eliminates a country’s ability to use monetary
policy for domestic objectives




Full Employment
High Output Growth
Low Inflation
Suppose that the US decides to peg to the Euro at a price of $1.30 per
Euro – Our ability to maintain the peg depends on our foreign
exchange reserves.
Liabilities
$ 10,000,000 (Currency)

Assets
E 2,000,000 (Euro)
E 3,000,000 (ECB Bonds)
E 5,000,000
X
1.30 $/E
$ 6,500,000
$ 3,500,000 (T-Bills)
$10,000,000

Currently, the reserve ratio is 65% (6.5M/10M)
If we are going to analyze the policy options, we need a
structured framework to proceed.

Long Run





PPP holds
Relative prices are
constant. Therefore,
the real exchange rate
equals one
The nominal exchange
rate returns to its
“fundamentals”

Short Run




Commodity prices are
fixed (PPP fails)
UIP and Currency
markets determine
exchange rates
Using PPP and the two Money Market equilibrium conditions, we
get the “fundamentals” for a currency
Foreign Money Market

Domestic Money Market

(1 + i ) M
P=
y

(

)

M*
P* = 1 + i* *
y
PPP

P = eP

*

*
 M  Y  1 + i 
e =  *  
 Y  1 + i* 
 M  


This should give us the long run trend
The US is pegging at $1.30/Euro. This explicitly defines a
monetary policy!

*
 M  Y  1 + i 
1.30 = e =  *  
 Y  1 + i* 
 M  


Now, solve for M

*
 Y  1 + i 
M = 1.30 M *  * 
 1+ i 

 Y 


( )

We now have the US monetary policy rule
This is actually better expressed in percentage terms…

%∆M = %∆M * + ( %∆Y − %∆Y * ) + ( i * − i )
Note: All else equal, money growth rates should be the
same.

Suppose that US economic growth is 4% per year
while Europe is 1% per year.
To maintain the peg, the US would have to
increase the US money supply by 3% relative to
Europe
Mama knows best!
“If Billy jumped off the
Brooklyn Bridge,
would you do it to?”

*
 Y  1 + i 
M = 1.30 M  * 
 1+ i 

 Y 


( )
*

Suppose that Europe was following an irresponsible monetary
policy (excessive money growth). If the US was pegging to the
Euro, we would be forced into the same irresponsible behavior!
You need to choose a currency regime that is
compatible in the long run with your economic
fundamentals

e

Jan

Feb

Mar

Apr

May

Mexico’s crawling peg to the US was due to its high inflation rate
relative to the US (high inflation is a result of low economic growth
and high money growth
Suppose the Federal Reserve conducts an open market purchase of
$1,000,000 in Treasuries to increase the money supply, what will the short
run impact be?

Liabilities
$ 10,000,000 (Currency)
+ $1,000,000

Assets
E 2,000,000 (Euro)
E 3,000,000 (ECB Bonds)
E 5,000,000
X
1.30 $/E
$ 6,500,000
$ 3,500,000 (T-Bills)
$10,000,000
+ $1,000,000 (T-Bills)

The reserve ratio drops to 59% (6.5M/11M)
The increase in money increases income (this worsens the trade
balance as imports increase) and lowers domestic interest rates (this
worsens the capital account by cutting off foreign investment)

i

LM
BOP = 0

i
IS

y

With a BOP deficit, Federal Reserve must use Euro
reserves to buy dollars in order to maintain the peg
The Fed Conducts an open market purchase of Dollars
Liabilities
$ 10,000,000 (Currency)
+ $1,000,000
- $1,000,000

Assets
E 2,000,000 (Euro)
E 3,000,000 (ECB Bonds)
E 5,000,000
X
1.30 $/E
$ 6,500,000
$ 3,500,000 (T-Bills)
$10,000,000
+ $1,000,000 (T-Bills)
- $1,000,000 (Euros)

The reserve ratio drops to 55% (5.5M/10M)
Note: The money supply returns to $10M
Suppose that the US Government runs a deficit
(either spending increases or tax cuts) to
stimulate the economy






i

Increased spending increases the trade deficit
Higher government debt raises the interest rate (this
attracts foreign capital)

LM
Can this policy be maintained
under a currency peg system?

i
IS

y
If capital mobility is sufficiently high, the increase in domestic interest
rated creates sufficient capital inflow to finance the trade deficit. The
dollar begins to appreciate

i

LM
BOP = 0

i

BOP = CA + KFA
IS

y

The balance of payments surplus forces the dollar to appreciate in
the short run.
The Fed Conducts an open market sale of Dollars to maintain
the peg with the Euro

Liabilities
$ 10,000,000 (Currency)
+ $1,000,000

Assets
E 2,000,000 (Euro)
E 3,000,000 (ECB Bonds)
E 5,000,000
X
1.30 $/E
$ 6,500,000
$ 3,500,000 (T-Bills)
$10,000,000
+$1,000,000 (Euros)

The reserve ratio rises to 68% (7.5M/11M)
With low capital mobility, high US interest rates are unable to
attract sufficient financing for the trade deficit. A BOP deficit
causes the dollar to depreciate

i

BOP = 0 LM

i

BOP = CA + KFA
IS

y

The balance of payments surplus forces the dollar to depreciate in
the short run.
The Fed Conducts an open market purchase of Dollars to
maintain the peg with the Euro
Liabilities
$ 10,000,000 (Currency)
- $1,000,000

Assets
E 2,000,000 (Euro)
E 3,000,000 (ECB Bonds)
E 5,000,000
X
1.30 $/E
$ 6,500,000
$ 3,500,000 (T-Bills)
$10,000,000
-$1,000,000 (Euros)

The reserve ratio falls to 61% (5.5M/9M)

The purchase of dollars contracts the money supply. Can the
Fed avoid this monetary contraction?
The Fed Conducts an open market purchase of Treasuries to
“Sterilize” the currency intervention
Liabilities
$ 10,000,000 (Currency)
$1,000,000
+ $1,000,000

Assets
E 2,000,000 (Euro)
E 3,000,000 (ECB Bonds)

-

E 5,000,000
X
1.30 $/E
$ 6,500,000
$ 3,500,000 (T-Bills)
$10,000,000
-$1,000,000 (Euros)
+$1,000,000 (T-Bills)

The reserve ratio falls to 55% (5.5M/10M)
Suppose that foreign investors view US debt as too risky?
Financial flows reverse, the US runs a BOP deficit requiring
a purchase of dollars

i

LM

Reversal of capital flows causes
the dollar to begin to depreciate.
The US must correct this by
buying dollars.

i
IS

y

Note: This would contract the money supply – raising interest rates and
lowering output.
The Fed Conducts an open market purchase of dollars to
stabilize the exchange rate

Liabilities
$ 10,000,000 (Currency)
- $1,000,000

Assets
E 2,000,000 (Euro)
E 3,000,000 (ECB Bonds)
E 5,000,000
X
1.30 $/E
$ 6,500,000
$ 3,500,000 (T-Bills)
$10,000,000
-$1,000,000 (Euros)

The reserve ratio falls to 61% (5.5M/9M)
Suppose that foreign investors view US debt as too risky?
Financial flows reverse, the US runs a BOP deficit.

i

LM

i
IS

y

Alternatively, if capital is mobile
enough, the government could
“bail out” the private companies
– replacing private debt with
public debt

This is risky…total indebtedness increase!!
Foreign Reserves are dangerously low! What can we do?
Liabilities
$ 6,100,000 (Currency)

Assets
E 1,000,000 (Euro)
E 1,000,000 (ECB Bonds)
E 2,000,000
X
1.30 $/E
$ 2,600,000
$ 3,500,000 (T-Bills)
$6,100,000

The reserve ratio is at 42% (2.6M/6.1M)
The Fed could fix this problem by devaluing the dollar (i.e. raising the
dollar price of Euro)
The drop in value would hopefully stop the selling
The devaluation would also improve the Fed’s reserve position
A devaluation from $1.30 to $1.50 helps

Liabilities
$ 6,100,000 (Currency)

The reserve ratio is at 49% (3M/6.1M)

Assets
E 1,000,000 (Euro)
E 1,000,000 (ECB Bonds)
E 2,000,000
X
1.50 $/E
$ 3,000,000
$ 3,500,000 (T-Bills)
$6,500,000
Speculation and “Peso Problems”






Even a strong currency can become the
victim of a speculative attack.
If the market believes that a currency might
devalue in the future, they will sell that
country’s currency and assets.
The resulting balance of payments deficit
forces the country to devalue (self fulfilling
prophesy)
Short Run Management


Currency Pegs work well as long as times are
good




A country can maintain an appreciating currency
forever

Currency pegs are not terribly successful during
tough times




You can’t maintain a depreciating currency forever –
and markets know this!
A peg forces you to follow policies that tend to make
economic conditions worse (tight money, balanced
government budgets)
Pearls of wisdom from “The Karate
Kid”

“Daniel-san, must talk. Man walk on road. Walk left side, safe. Walk right
side, safe. Walk down middle, sooner or later, get squished just like
grape. Same here. You karate do "yes," or karate do "no." You karate do
"guess so," just like grape. Understand?”
Committed Floater

Committed Pegger

Uncertain Pegger

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FIN 40500: International Finance Exchange Rate Management and Policy

  • 2. Commitment Exchange Rate Policy can be characterized along two dimensions Currency Union (Euro) Hard Peg (China) Pure Float (USA) Flexibility
  • 3. With a hard peg, a currency’s price is held permanently at a fixed level. For example, the Chinese Yuan. Flexibility e .1265 $1 = 7.90Yuan Jan Feb Mar Apr May
  • 4. With a soft peg, a currency’s price is returned to the predefined parity at regular intervals (monthly, weekly, etc). For example, the Algerian Dinar. Flexibility e $1 = 76 Dinar .012 Jan Feb Mar Apr May
  • 5. With an adjustable peg, the parity price is adjusted as circumstances warrant (monthly, weekly, etc). The Bretton Woods System was an adjustable peg Flexibility e Jan Feb Mar Apr May
  • 6. With a crawling peg, a currency’s price is held permanently at a fixed level, but that parity level has prescheduled changes For example, the Mexican Peso followed a crawling peg in the 1990s Flexibility e Jan Feb Mar Apr May
  • 7. With a target zone, a currency’s price is held permanently between an upper and lower bound. The Bretton Woods system used 2% bands Flexibility e +2% -2% Jan Feb Mar Apr May
  • 8. From 1971 until 1987 the US followed a policy of managed floating (market based exchange rate with periodic “re-alignments”). A pure float would have no such re-alignments. USD/JPY 400.00 The Plaza Accord (1985) purposely devalued the dollar against the Yen and Deutschmark by 51% 350.00 300.00 250.00 200.00 The Louvre Accord (1987) ended the dollar devaluation policy of the plaza accord 150.00 100.00 50.00 0.00 Jan-71 Flexibility Jan-75 Jan-79 Jan-83 Jan-87
  • 9. Policies can also vary by the degree of commitment to the policy Commitment Fixed Exchange Rate: This is simply a policy decision of the government or central bank and can be easily reversed (China). Currency Boards: A currency board is a monetary authority separate from (or in replacement of) a country’s central bank whose sole responsibility is maintaining convertibility of the country’s currency. (Hong Kong) Dollarization/Currency Union: foreign money replaces domestic money as official currency (Panama)
  • 10. Exchange Rate Systems Pure Float 6% Managed Float 21% 10% 5% 14% 20% 24% Crawling Peg or Band Target Zone Pure Peg Currency Board Dollarization
  • 11. Currency Baskets   Some countries choose to peg to a “basket” of currencies rather that a single currency. This basket will have a price equal to a weighted average of the individual currencies  Latvia: SDR (Euro, JPY, GBP, USD)  Malta: Euro (67%), USD21%), GBP (12%)  Iceland: Euro + 6 other countries Why peg to a basket?  Baskets of currency should exhibit less volatility that individual currencies.  The central bank has a wider choice of options for official reserves
  • 12. Costs/Benefits of Fixed Exchange Rates  Main Benefit   Reduces uncertainty with regard to cross border trade in both goods and assets Main Cost  Eliminates a country’s ability to use monetary policy for domestic objectives    Full Employment High Output Growth Low Inflation
  • 13. Suppose that the US decides to peg to the Euro at a price of $1.30 per Euro – Our ability to maintain the peg depends on our foreign exchange reserves. Liabilities $ 10,000,000 (Currency) Assets E 2,000,000 (Euro) E 3,000,000 (ECB Bonds) E 5,000,000 X 1.30 $/E $ 6,500,000 $ 3,500,000 (T-Bills) $10,000,000 Currently, the reserve ratio is 65% (6.5M/10M)
  • 14. If we are going to analyze the policy options, we need a structured framework to proceed. Long Run    PPP holds Relative prices are constant. Therefore, the real exchange rate equals one The nominal exchange rate returns to its “fundamentals” Short Run   Commodity prices are fixed (PPP fails) UIP and Currency markets determine exchange rates
  • 15. Using PPP and the two Money Market equilibrium conditions, we get the “fundamentals” for a currency Foreign Money Market Domestic Money Market (1 + i ) M P= y ( ) M* P* = 1 + i* * y PPP P = eP * *  M  Y  1 + i  e =  *    Y  1 + i*   M    This should give us the long run trend
  • 16. The US is pegging at $1.30/Euro. This explicitly defines a monetary policy! *  M  Y  1 + i  1.30 = e =  *    Y  1 + i*   M    Now, solve for M *  Y  1 + i  M = 1.30 M *  *   1+ i    Y   ( ) We now have the US monetary policy rule
  • 17. This is actually better expressed in percentage terms… %∆M = %∆M * + ( %∆Y − %∆Y * ) + ( i * − i ) Note: All else equal, money growth rates should be the same. Suppose that US economic growth is 4% per year while Europe is 1% per year. To maintain the peg, the US would have to increase the US money supply by 3% relative to Europe
  • 18. Mama knows best! “If Billy jumped off the Brooklyn Bridge, would you do it to?” *  Y  1 + i  M = 1.30 M  *   1+ i    Y   ( ) * Suppose that Europe was following an irresponsible monetary policy (excessive money growth). If the US was pegging to the Euro, we would be forced into the same irresponsible behavior!
  • 19. You need to choose a currency regime that is compatible in the long run with your economic fundamentals e Jan Feb Mar Apr May Mexico’s crawling peg to the US was due to its high inflation rate relative to the US (high inflation is a result of low economic growth and high money growth
  • 20. Suppose the Federal Reserve conducts an open market purchase of $1,000,000 in Treasuries to increase the money supply, what will the short run impact be? Liabilities $ 10,000,000 (Currency) + $1,000,000 Assets E 2,000,000 (Euro) E 3,000,000 (ECB Bonds) E 5,000,000 X 1.30 $/E $ 6,500,000 $ 3,500,000 (T-Bills) $10,000,000 + $1,000,000 (T-Bills) The reserve ratio drops to 59% (6.5M/11M)
  • 21. The increase in money increases income (this worsens the trade balance as imports increase) and lowers domestic interest rates (this worsens the capital account by cutting off foreign investment) i LM BOP = 0 i IS y With a BOP deficit, Federal Reserve must use Euro reserves to buy dollars in order to maintain the peg
  • 22. The Fed Conducts an open market purchase of Dollars Liabilities $ 10,000,000 (Currency) + $1,000,000 - $1,000,000 Assets E 2,000,000 (Euro) E 3,000,000 (ECB Bonds) E 5,000,000 X 1.30 $/E $ 6,500,000 $ 3,500,000 (T-Bills) $10,000,000 + $1,000,000 (T-Bills) - $1,000,000 (Euros) The reserve ratio drops to 55% (5.5M/10M) Note: The money supply returns to $10M
  • 23. Suppose that the US Government runs a deficit (either spending increases or tax cuts) to stimulate the economy    i Increased spending increases the trade deficit Higher government debt raises the interest rate (this attracts foreign capital) LM Can this policy be maintained under a currency peg system? i IS y
  • 24. If capital mobility is sufficiently high, the increase in domestic interest rated creates sufficient capital inflow to finance the trade deficit. The dollar begins to appreciate i LM BOP = 0 i BOP = CA + KFA IS y The balance of payments surplus forces the dollar to appreciate in the short run.
  • 25. The Fed Conducts an open market sale of Dollars to maintain the peg with the Euro Liabilities $ 10,000,000 (Currency) + $1,000,000 Assets E 2,000,000 (Euro) E 3,000,000 (ECB Bonds) E 5,000,000 X 1.30 $/E $ 6,500,000 $ 3,500,000 (T-Bills) $10,000,000 +$1,000,000 (Euros) The reserve ratio rises to 68% (7.5M/11M)
  • 26. With low capital mobility, high US interest rates are unable to attract sufficient financing for the trade deficit. A BOP deficit causes the dollar to depreciate i BOP = 0 LM i BOP = CA + KFA IS y The balance of payments surplus forces the dollar to depreciate in the short run.
  • 27. The Fed Conducts an open market purchase of Dollars to maintain the peg with the Euro Liabilities $ 10,000,000 (Currency) - $1,000,000 Assets E 2,000,000 (Euro) E 3,000,000 (ECB Bonds) E 5,000,000 X 1.30 $/E $ 6,500,000 $ 3,500,000 (T-Bills) $10,000,000 -$1,000,000 (Euros) The reserve ratio falls to 61% (5.5M/9M) The purchase of dollars contracts the money supply. Can the Fed avoid this monetary contraction?
  • 28. The Fed Conducts an open market purchase of Treasuries to “Sterilize” the currency intervention Liabilities $ 10,000,000 (Currency) $1,000,000 + $1,000,000 Assets E 2,000,000 (Euro) E 3,000,000 (ECB Bonds) - E 5,000,000 X 1.30 $/E $ 6,500,000 $ 3,500,000 (T-Bills) $10,000,000 -$1,000,000 (Euros) +$1,000,000 (T-Bills) The reserve ratio falls to 55% (5.5M/10M)
  • 29. Suppose that foreign investors view US debt as too risky? Financial flows reverse, the US runs a BOP deficit requiring a purchase of dollars i LM Reversal of capital flows causes the dollar to begin to depreciate. The US must correct this by buying dollars. i IS y Note: This would contract the money supply – raising interest rates and lowering output.
  • 30. The Fed Conducts an open market purchase of dollars to stabilize the exchange rate Liabilities $ 10,000,000 (Currency) - $1,000,000 Assets E 2,000,000 (Euro) E 3,000,000 (ECB Bonds) E 5,000,000 X 1.30 $/E $ 6,500,000 $ 3,500,000 (T-Bills) $10,000,000 -$1,000,000 (Euros) The reserve ratio falls to 61% (5.5M/9M)
  • 31. Suppose that foreign investors view US debt as too risky? Financial flows reverse, the US runs a BOP deficit. i LM i IS y Alternatively, if capital is mobile enough, the government could “bail out” the private companies – replacing private debt with public debt This is risky…total indebtedness increase!!
  • 32. Foreign Reserves are dangerously low! What can we do? Liabilities $ 6,100,000 (Currency) Assets E 1,000,000 (Euro) E 1,000,000 (ECB Bonds) E 2,000,000 X 1.30 $/E $ 2,600,000 $ 3,500,000 (T-Bills) $6,100,000 The reserve ratio is at 42% (2.6M/6.1M) The Fed could fix this problem by devaluing the dollar (i.e. raising the dollar price of Euro) The drop in value would hopefully stop the selling The devaluation would also improve the Fed’s reserve position
  • 33. A devaluation from $1.30 to $1.50 helps Liabilities $ 6,100,000 (Currency) The reserve ratio is at 49% (3M/6.1M) Assets E 1,000,000 (Euro) E 1,000,000 (ECB Bonds) E 2,000,000 X 1.50 $/E $ 3,000,000 $ 3,500,000 (T-Bills) $6,500,000
  • 34. Speculation and “Peso Problems”    Even a strong currency can become the victim of a speculative attack. If the market believes that a currency might devalue in the future, they will sell that country’s currency and assets. The resulting balance of payments deficit forces the country to devalue (self fulfilling prophesy)
  • 35. Short Run Management  Currency Pegs work well as long as times are good   A country can maintain an appreciating currency forever Currency pegs are not terribly successful during tough times   You can’t maintain a depreciating currency forever – and markets know this! A peg forces you to follow policies that tend to make economic conditions worse (tight money, balanced government budgets)
  • 36. Pearls of wisdom from “The Karate Kid” “Daniel-san, must talk. Man walk on road. Walk left side, safe. Walk right side, safe. Walk down middle, sooner or later, get squished just like grape. Same here. You karate do "yes," or karate do "no." You karate do "guess so," just like grape. Understand?”