The Broad Yen Carry Trade∗
Masazumi Hattori
Bank of Japan
Hyun Song Shin
Princeton University
October 31, 2007
∗The views expressed in this presentation are those of the authors and do not necessarily represent those
of the Bank of Japan.
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Yen Carry Trade
• Yen carry trade: borrow yen to fund purchase of higher yielding currencies
• Its importance extends beyond merely the FX market
• Tied with fluctuations of global balance sheets
— implications for financial cycles
— implications for global spillovers in monetary policy
1
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Balance Sheet Trail
Following the trail of leveraged bets
Wall St Bank
NY Head Office
Wall St Bank
Japan Office
Japanese
Banks
Hedge Fund
Interoffice
accounts
JPY interbank
market
2
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Interoffice Accounts of Japan Office
Assets Liabilities
Japanese
securities
call loans
call money
interoffice
assets interoffice liabilities
Assets Liabilities
Japanese
securities
call loans
call money
interoffice
assets interoffice liabilities
3
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Interbank Assets of Foreign Banks in Japan
0
5
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n
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90
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91
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Date
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0
bi
lli
on
y
en
Interbank Assets (Call Loan) of Foreign Banks in Japan
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The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Interbank Liabilities of Foreign Banks in Japan
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Date
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lli
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en
Interbank Liabilities (Call Money) of Foreign Banks in Japan
5
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Net Interbank Assets of Foreign Banks in Japan
-100
-90
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-10
0
10
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n
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Date
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0
bi
lli
on
y
en
Net Interbank Assets of Foreign Banks in Japan
6
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Net Interoffice Accounts of Foreign Banks in Japan
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Date
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0
bi
lli
on
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en
Net Interoffice Accounts of Foreign Banks in Japan
7
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Channeling of Yen Liquidity out of Japan
Scatter chart of change in net interoffice accounts against change in net
call loans (units: 100 billion yen)
-60
-40
-20
0
20
40
60
-40 -30 -20 -10 0 10 20 30 40
Monthly change in net call loan
M
on
th
ly
c
ha
ng
e
in
n
et
in
te
ro
ffi
ce
ac
co
un
ts
8
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Basic Balance Sheet Arithmetic: Passive Investor
• Household balance sheet
Assets Liabilities
House, 100 Equity, 10
Mortgage, 90
Leverage =
Assets
Equity
= 10
• Assume that the market value of debt is constant at 90.
L = AA− 90
9
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
• Leverage is inversely related to total assets:
97 98 99 100 101 102 103
8
9
10
11
12
13
L
A
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The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Balance Sheet Size and Leverage: Households
From Adrian and Shin (2007)
-4
-2
0
2
4
6
8
-1 -0.5 0 0.5 1 1.5
Leverage Growth (Percent Quarterly)
To
ta
l A
ss
et
G
ro
w
th
(P
er
ce
nt
Q
ua
rt
er
ly
)
U.S. Flow of Funds (1963 - 2006)
11
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Financial Institutions
Financial institutions actively manage balance sheets so as
• to meet value at risk or economic capital targets
• to meet performance measures such as return on equity (ROE).
• to hit desired credit ratings
• meet regulatory requirements
What are the consequences?
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The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Security Dealers and Brokers
-30
-20
-10
0
10
20
30
40
-50 -40 -30 -20 -10 0 10 20 30 40
Leverage Growth (Percent Quarterly)
To
ta
l A
ss
et
G
ro
w
th
(P
er
ce
nt
Q
ua
rt
er
ly
)
U.S. Flow of Funds (1963 - 2006)
13
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Targeting Constant Leverage
Initial balance sheet
Assets Liabilities
Securities, 100 Equity, 10
Debt, 90
Assume price of debt approximately constant. Suppose the security price
increases by 1% to 101.
Assets Liabilities
Securities, 101 Equity, 11
Debt, 90
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The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Leverage falls to
101
11
= 9.18
If bank targets constant leverage, it must take on additional debt of D to
purchase D worth of securities on the asset side so that
assets
equity
=
101 +D
11
= 10
The solution is D = 9. In other words, the bank takes on additional debt
worth 9, and with this money purchases securities worth 9.
The demand curve is upward-sloping.
15
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
The new balance sheet looks like this.
Assets Liabilities
Securities, 110 Equity, 11
Debt, 99
The leverage is now back up to 10.
The mechanism works in reverse, too. Suppose there is shock to the
security price so that
Assets Liabilities
Securities, 109 Equity, 10
Debt, 99
Leverage is too high (109/10 = 10.9).
16
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Sell securities worth 9, paydown debt of 9.
Assets Liabilities
Securities, 100 Equity, 10
Debt, 90
Back to leverage of 10.
Supply curve is downward-sloping.
What is the aggregate impact of perverse demand and supply curves?
17
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Aggregate Impact
Stronger
balance sheets Increase
B/S size
Target leverage
Asset price boom
Weaker
balance sheets Reduce
B/S size
Target leverage
Asset price decline
18
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Carry Trades and VIX Index
Risk appetite as measured by the VIX index.
10
20
30
40
- 200 - 150 - 100 - 50 0 50 100
Net Interoffice Accounts (100 billion yen)
VIX
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The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Impact on Exchange Rates of Carry Currencies
(NZD/JPY)
70
75
80
85
90
95
100
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The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Interest Rate Differential
Net interoffice accounts (in red, right hand scale) and difference between
overnight rates in Japan and simple average of USD, EUR and AUD
overnight rates (in green, left hand scale).
-6
-5
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-1
0
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a
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9
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7
In
te
re
st
ra
te
d
iff
er
en
tia
l (
%
)
-250
-200
-150
-100
-50
0
50
100
N
et
in
te
ro
ffi
ce
a
cc
ou
nt
s
(1
00
b
ill
io
n
ye
n)
21
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Interest Rate Differential
Scatter chart of the net interoffice accounts and interest rate differential
99/1
07/8
-200
-150
-100
-50
0
50
100
-6 -5 -4 -3 -2
Interest Rate Differential (%)
N
et
In
te
ro
ffi
ce
A
cc
ou
nt
s
(1
00
b
ill
io
n
ye
n)
(t statistic = −7.8)
22
The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Monthly Changes
Monthly changes in interest differential explain fluctuations in carry trade
-60
-40
-20
0
20
40
60
-0.4 -0.2 0 0.2 0.4 0.6
Monthly change in
net interoffice accounts (10 billion yen)
M
on
th
ly
c
ha
ng
e
in
in
te
re
st
ra
te
d
iff
er
en
tia
l
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The Broad Yen Carry Trade Masazumi Hattori and Hyun Song Shin
Global Spillover of Monetary Policy
Two-way flow:
• Role of yen liquidity in fueling global balance sheets
• Impact of credit crisis and contracting balance sheets on yen appreciation
and Japanese deflation
24