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Brunnermeier&Sannikov
Safe Assets
with Valentin Haddad
The I Theory of Money
- Money & Banking with Asset Pricing Tools -
with Yuliy Sannikov
Princeton University
World Finance Conference New York City, July 30th, 2016
Brunnermeier&Sannikov
Definitions of Safe Asset
1. Safe = risk-free for a particular horizon
• But inflation risk
• E.g. holders are infinitely risk aversion - Caballero & Farhi
2. Safe = informationally insensitive
• No decline in value due to asymmetric info
3. Safe = “Good friend analogy”
• Safe for random horizon
• Appreciates in times of crisis
Safe = “Safe Asset Tautology”
• Safe because perceived to be safe
(multiple equilibria)
• Bubble
Brunnermeier
& Haddad
Brunnermeier&Sannikov
Definitions of Safe Asset
1. Safe = risk-free for a particular horizon
• E.g. holders are infinitely risk aversion Caballero & Farhi
• … but inflation risk
2. Safe = informationally insensitive
• No decline in value due to asymmetric info
3. Safe = “Good friend analogy”
• Safe for random horizon
• Appreciates in times of crisis
Safe = “Safe Asset Tautology”
• Safe because perceived to be safe
(multiple equilibria)
• Bubble
Brunnermeier
& Haddad
Holmstrom
& Gordon
Brunnermeier&Sannikov
Safe asset & money - close cousins
 Store of value store of value
• Held in addition to risky assets
• Held in order to produce (private) safe assets (by banks!)
 Reference/benchmark asset unit of account
 Good collateral: stable margins transaction role
• Facilitates financial trade
Pool of
risky high yield
assets
Safe asset Deposits
Equity
Brunnermeier&Sannikov
Safety versus Risk
 US Treasury downgraded by S&P (due to default risk)
• … but yield declines
 German CDS spread versus yield during Euro crisis
Brunnermeier&Sannikov
“Money and Banking” (in macro-finance)
 Money store of value/safe asset
 Banking “diversifier”
holds risky assets, issues inside money
 Amplification/endogenous risk dynamics
• Value of capital declines due to fire-sales Liquidity spiral
 Flight to safety
• Value of money rises Disinflation spiral a la Fisher
 Demand for money rises – less idiosyncratic risk is diversified
 Supply for inside money declines – less creation by intermediaries
• Endogenous money multiplier = f(capitalization of critical sector)
• Paradox of Thrift (in risk terms)
 Monetary Policy (redistributive)
Brunnermeier&Sannikov
“Money and Banking” (in macro-finance)
 Money store of value/safe asset
 Banking “diversifier”
holds risky assets, issues inside money
 Amplification/endogenous risk dynamics
• Value of capital declines due to fire-sales Liquidity spiral
 Flight to safety
• Value of money rises Disinflation spiral a la Fisher
 Demand for money rises – less idiosyncratic risk is diversified
 Supply for inside money declines – less creation by intermediaries
• Endogenous money multiplier = f(capitalization of critical sector)
• Paradox of Thrift (in risk terms)
 Monetary Policy (redistributive)
Paradox of Prudence
Brunnermeier&Sannikov
“Money and Banking” (in macro-finance)
 Money store of value/safe asset
 Banking “diversifier”
holds risky assets, issues inside money
 Amplification/endogenous risk dynamics
• Value of capital declines due to fire-sales Liquidity spiral
 Flight to safety
• Value of money rises Disinflation spiral a la Fisher
 Demand for money rises – less idiosyncratic risk is diversified
 Supply for inside money declines – less creation by intermediaries
• Endogenous money multiplier = f(capitalization of critical sector)
• Paradox of Thrift (in risk terms)
 Monetary Policy (redistributive)
Paradox of Prudence
Brunnermeier&Sannikov
Risk, Monetary & Macropru Policy
 Risk
• Exogenous risk
 Sector-specific systematic cash flow risk
 Idiosyncratic
• Endogenous risk
 Shifts in wealth share systemic risk
 Variation in risk premia
 Risk management
• Monetary policy as “risk transfer”
 Affects (relative) asset prices reduces systemic risk
• Macroprudential policy
 Affects/limits quantities/risk taking
Brunnermeier&Sannikov
Roadmap
 Safe assets and money: close cousins
 Model absent monetary policy
• Toy model: one sector with outside money
• Two sector model with outside money
• Adding intermediary sector and inside money
 Model with monetary policy
 The Curse of Safe Assets
 ESBies: securitization and safe assets
Brunnermeier&Sannikov
One sector basic model
𝐴1
 Technologies 𝑎
 Each household can only
operate one firm
• Physical capital
• Output
 Demand for money
sector idiosyncratic
risk
𝑦𝑡 = 𝐴𝑘 𝑡
𝑑𝑘 𝑡
𝑘 𝑡
= (Φ 𝜄 𝑡 − 𝛿)𝑑𝑡 + 𝜎 𝑎
𝑑𝑍𝑡
𝑎
+ ෤𝜎𝑑 ෨𝑍𝑡
𝑎
Brunnermeier&Sannikov
Adding outside money
 Technologies 𝑎
 Each household can only
operate one firm
• Physical capital
• Output
 Demand for money
𝑑𝑘 𝑡
𝑘 𝑡
= (Φ 𝜄 𝑡 − 𝛿)𝑑𝑡 + 𝜎 𝑎
𝑑𝑍𝑡
𝑎
+ ෤𝜎𝑑 ෨𝑍𝑡
𝑎
sector idiosyncratic
risk
A L
A L
A L
A L
𝐴1
Money
Networth
Outside Money
𝑦𝑡 = 𝐴𝑘 𝑡
 𝑞𝑡 𝐾𝑡 value of physical capital
• Postulate constant 𝑞𝑡
𝐴−𝜄
𝑞
𝑑𝑡 + Φ(𝜄 − 𝛿) 𝑑𝑡 + 𝜎 𝑏
𝑑𝑍𝑡
𝑏
+ ෤𝜎𝑑 ෨𝑍𝑡
𝑏
 𝑝𝑡 𝐾𝑡 value of outside money
• Postulate value of money changes proportional to 𝐾𝑡
Brunnermeier&Sannikov
Adding outside money
 Technologies 𝑎
 Each household can only
operate one firm
• Physical capital
• Output
 Demand for money
𝑑𝑘 𝑡
𝑘 𝑡
= (Φ 𝜄 𝑡 − 𝛿)𝑑𝑡 + 𝜎 𝑎
𝑑𝑍𝑡
𝑎
+ ෤𝜎𝑑 ෨𝑍𝑡
𝑎
sector idiosyncratic
risk
A L
A L
A L
A L
𝐴1
Money
Networth
Outside Money
 𝑞𝐾𝑡 value of physical capital
• 𝑑𝑟 𝑎
= 𝐴−𝜄
𝑞
𝑑𝑡 + Φ(𝜄 − 𝛿) 𝑑𝑡 + 𝜎 𝑎
𝑑𝑍𝑡
𝑎
+ ෤𝜎𝑑 ෨𝑍𝑡
𝑎
 𝑝𝐾𝑡 value of outside money
• 𝑑𝑟 𝑀
= Φ(𝜄 − 𝛿)
𝑔
𝑑𝑡 + 𝜎 𝑎
𝑑𝑍𝑡
𝑎
𝑦𝑡 = 𝐴𝑘 𝑡
Brunnermeier&Sannikov
Demand with 𝐸 ‫׬‬0
∞
𝑒−𝜌𝑡
log 𝑐𝑡 𝑑𝑡
 Technologies 𝑎
A L
A L
A L
A L
Money
Networth
Outside Money
 𝑞𝐾𝑡 value of physical capital
• 𝑑𝑟 𝑎
= 𝐴−𝜄
𝑞
𝑑𝑡 + Φ(𝜄 − 𝛿) 𝑑𝑡 + 𝜎 𝑎
𝑑𝑍𝑡
𝑎
+ ෤𝜎𝑑 ෨𝑍𝑡
𝑎
 𝑝𝐾𝑡 value of outside money
• 𝑑𝑟 𝑀
= Φ(𝜄 − 𝛿)
𝑔
𝑑𝑡 + 𝜎 𝑎
𝑑𝑍𝑡
𝑎
 Consumption demand:
𝜌 𝑝 + 𝑞 𝐾𝑡 = 𝐴 − 𝜄 𝐾𝑡
 Asset (share) demand 𝑥 𝑎:
𝐸 𝑑𝑟 𝑎
− 𝑑𝑟 𝑀
/𝑑𝑡 = 𝐶𝑜𝑣[𝑑𝑟 𝑎
− 𝑑𝑟 𝑀
,
ต
𝑑𝑛 𝑡
𝑎
𝑛 𝑡
𝑎
𝑑𝑟 𝑀+𝑥 𝑎 𝑑𝑟 𝑎−𝑑𝑟 𝑀
] = 𝑥 𝑎
෤𝜎2
𝑥 𝑎
=
𝐸 𝑑𝑟 𝑎−𝑑𝑟 𝑀 /𝑑𝑡
෥𝜎2 = (𝐴−𝜄)/𝑞
෥𝜎2 = 𝑞
𝑞+𝑝
 Investment rate: (Tobin’s q) Φ′
𝜄 = 1/𝑞
• For Φ 𝜄 = 1
𝜅
log(𝜅𝜄 + 1) ⇒ 𝜄∗
= 𝑞−1
𝜅
𝐴1
Brunnermeier&Sannikov
Demand with log-utility
 Technologies 𝑎
A L
A L
A L
A L
Money
Networth
Outside Money
 𝑞𝐾𝑡 value of physical capital
• 𝑑𝑟 𝑎
= 𝐴−𝜄
𝑞
𝑑𝑡 + Φ(𝜄 − 𝛿) 𝑑𝑡 + 𝜎 𝑎
𝑑𝑍𝑡
𝑎
+ ෤𝜎𝑑 ෨𝑍𝑡
𝑎
 𝑝𝐾𝑡 value of outside money
• 𝑑𝑟 𝑀
= Φ(𝜄 − 𝛿)
𝑔
𝑑𝑡 + 𝜎 𝑎
𝑑𝑍𝑡
𝑎
 Consumption demand:
𝜌 𝑝 + 𝑞 𝐾𝑡 = 𝐴 − 𝜄 𝐾𝑡
 Asset (share) demand 𝑥 𝑎:
𝐸 𝑑𝑟 𝑎
− 𝑑𝑟 𝑀
/𝑑𝑡 = 𝐶𝑜𝑣[𝑑𝑟 𝑎
− 𝑑𝑟 𝑀
,
ต
𝑑𝑛 𝑡
𝑎
𝑛 𝑡
𝑎
𝑑𝑟 𝑀+𝑥 𝑎 𝑑𝑟 𝑎−𝑑𝑟 𝑀
] = 𝑥 𝑎
෤𝜎2
𝑥 𝑎
=
𝐸 𝑑𝑟 𝑎−𝑑𝑟 𝑀 /𝑑𝑡
෥𝜎2 = (𝐴−𝜄)/𝑞
෥𝜎2 = 𝑞
𝑞+𝑝
 Investment rate: (Tobin’s q) Φ′
𝜄 = 1/𝑞
• For Φ 𝜄 = 1
𝜅
log(𝜅𝜄 + 1) ⇒ 𝜄∗
= 𝑞−1
𝜅
𝐴1
Brunnermeier&Sannikov
Demand with log-utility
 Technologies 𝑎
A L
A L
A L
A L
Money
Networth
Outside Money
 𝑞𝐾𝑡 value of physical capital
• 𝑑𝑟 𝑎
= 𝐴−𝜄
𝑞
𝑑𝑡 + Φ(𝜄 − 𝛿) 𝑑𝑡 + 𝜎 𝑎
𝑑𝑍𝑡
𝑎
+ ෤𝜎𝑑 ෨𝑍𝑡
𝑎
 𝑝𝐾𝑡 value of outside money
• 𝑑𝑟 𝑀
= Φ(𝜄 − 𝛿)
𝑔
𝑑𝑡 + 𝜎 𝑎
𝑑𝑍𝑡
𝑎
 Consumption demand:
𝜌 𝑝 + 𝑞 𝐾𝑡 = 𝐴 − 𝜄 𝐾𝑡
 Asset (share) demand 𝑥 𝑎:
𝐸 𝑑𝑟 𝑎
− 𝑑𝑟 𝑀
/𝑑𝑡 = 𝐶𝑜𝑣[𝑑𝑟 𝑎
− 𝑑𝑟 𝑀
,
ต
𝑑𝑛 𝑡
𝑎
𝑛 𝑡
𝑎
𝑑𝑟 𝑀+𝑥 𝑎 𝑑𝑟 𝑎−𝑑𝑟 𝑀
] = 𝑥 𝑎
෤𝜎2
𝑥 𝑎
=
𝐸 𝑑𝑟 𝑎−𝑑𝑟 𝑀 /𝑑𝑡
෥𝜎2 = (𝐴−𝜄)/𝑞
෥𝜎2 = 𝑞
𝑞+𝑝
 Investment rate: (Tobin’s q) Φ′
𝜄 = 1/𝑞
• For Φ 𝜄 = 1
𝜅
log(𝜅𝜄 + 1) ⇒ 𝜄 = 𝑞−1
𝜅
𝐴1
Brunnermeier&Sannikov
Market clearing
 Technologies 𝑎
A L
A L
A L
A L
Money
Networth
Outside Money
 𝑞𝐾𝑡 value of physical capital
• 𝑑𝑟 𝑎
= 𝐴−𝜄
𝑞
𝑑𝑡 + Φ(𝜄 − 𝛿) 𝑑𝑡 + 𝜎 𝑎
𝑑𝑍𝑡
𝑎
+ ෤𝜎𝑑 ෨𝑍𝑡
𝑎
 𝑝𝐾𝑡 value of outside money
• 𝑑𝑟 𝑀
= Φ(𝜄 − 𝛿)
𝑔
𝑑𝑡 + 𝜎 𝑎
𝑑𝑍𝑡
𝑎
 Consumption demand:
𝜌 𝑝 + 𝑞 𝐾𝑡 = 𝐴 − 𝜄 𝐾𝑡
 Asset (share) demand 𝑥 𝑎:
𝐸 𝑑𝑟 𝑎
− 𝑑𝑟 𝑀
/𝑑𝑡 = 𝐶𝑜𝑣[𝑑𝑟 𝑎
− 𝑑𝑟 𝑀
,
ต
𝑑𝑛 𝑡
𝑎
𝑛 𝑡
𝑎
𝑑𝑟 𝑀+𝑥 𝑎 𝑑𝑟 𝑎−𝑑𝑟 𝑀
] = 𝑥 𝑎
෤𝜎2
𝑥 𝑎
=
𝐸 𝑑𝑟 𝑎−𝑑𝑟 𝑀 /𝑑𝑡
෥𝜎2 = (𝐴−𝜄)/𝑞
෥𝜎2 = 𝑞
𝑞+𝑝
 Investment rate: (Tobin’s q) Φ′
𝜄 = 1/𝑞
• For Φ 𝜄 = 1
𝜅
log(𝜅𝜄 + 1) ⇒ 𝜄 = 𝑞−1
𝜅
𝐴1
Brunnermeier&Sannikov
Equilibrium
Moneyless equilibrium Money equilibrium
𝑝0 = 0 𝑝 = ෥𝜎− 𝜌
𝜌
𝑞
𝑞0 = 𝜅𝐴+1
𝜅𝜌+1 𝑞 = 𝜅𝐴+1
𝜅 𝜌෥𝜎+1
෤𝜎𝜌
𝑝
𝑞
0
𝑞0
>
Brunnermeier&Sannikov
Welfare analysis
Moneyless equilibrium Money equilibrium
𝑝0 = 0 𝑝 = ෥𝜎− 𝜌
𝜌
𝑞
𝑞0 = 𝜅𝐴+1
𝜅𝜌+1 𝑞 = 𝜅𝐴+1
𝜅 𝜌෥𝜎+1
𝑔0 𝑔
welfare0 welfare<
>
>
Brunnermeier&Sannikov
Roadmap
 Safe assets and money: close cousins
 Model absent monetary policy
• Toy model: one sector with outside money
• Two sector model with outside money
• Adding intermediary sector and inside money
 Model with monetary policy
 The Curse of Safe Assets
 ESBies: securitization and safe assets
Brunnermeier&Sannikov
𝐴1
𝐴1
Outline of two sector model
𝐴1
𝐵1
SwitchSwitch technology
 Technologies 𝑎 Technologies 𝑏
 Households have to
• Specialize in one subsector sector specific + idiosyncratic risk
for one period
• Demand for money
𝑑𝑘 𝑡
𝑘 𝑡
= ⋯ 𝑑𝑡 + 𝜎 𝑏
𝑑𝑍𝑡
𝑏
+ ෤𝜎𝑑 ෨𝑍𝑡
𝑏 𝑑𝑘 𝑡
𝑘 𝑡
= ⋯ 𝑑𝑡 + 𝜎 𝑎
𝑑𝑍𝑡
𝑎
+ ෤𝜎𝑑 ෨𝑍𝑡
𝑎
Brunnermeier&Sannikov
Add outside money
 Households have to
• Specialize in one subsector
for one period
• Demand for money
Outside Money
A L
A L
A
Money
𝐵1
L
Networth
 Technologies 𝑎 Technologies 𝑏
SwitchSwitch technology
A L
A L
A L
A L
𝐴1
Money
Networth
Brunnermeier&Sannikov
Roadmap
 Safe assets and money: close cousins
 Model absent monetary policy
• Toy model: one sector with outside money
• Two sector model with outside money
• Adding intermediary sector and inside money
 Model with monetary policy
 The Curse of Safe Assets
 ESBies: securitization and safe assets
Brunnermeier&Sannikov
Roadmap
 Model absent monetary policy
• Toy model: one sector with outside money
• Two sector model with outside money
• Adding intermediary sector and inside money
 Model with monetary policy
 Model with macro-prudential policy
Brunnermeier&Sannikov
 Technologies 𝑏
• Risk can be
partially sold off
to intermediaries
Add intermediaries
Net worth
A L
Outside Money
A L
A L
A
Money
𝐵1
L
Networth
 Technologies 𝑎
• Risk is
not contractable
(Plagued with
moral hazard
problems)
A L
A L
A L
A L
𝐴1
Money
Networth
Brunnermeier&Sannikov
 Technologies 𝑏
Add intermediaries
Net worth
A L
Outside Money
 Intermediaries
• Can hold outside equity
& diversify within sector 𝑏
• Monitoring
A L
A L
A
Money
𝐵1
L
Networth
 Technologies 𝑎
A L
A L
A L
A L
𝐴1
Money
Networth
Brunnermeier&Sannikov
 Technologies 𝑏
A L
RiskyClaim
A L
RiskyClaim
Add intermediaries
…
Net worth
A L
RiskyClaim
RiskyClaim
RiskyClaim
Outside Money
A L
𝐵1
Money
RiskyClaim
Insideequity
 Intermediaries
• Can hold outside equity
& diversify within sector 𝑏
• Monitoring
 Technologies 𝑎
A L
A L
A L
A L
𝐴1
Money
Networth
Brunnermeier&Sannikov
A L
RiskyClaim
A L
RiskyClaim
Add intermediaries
 Technologies 𝑏
…
Net worth
Inside Money
(deposits)
A L
Outside Money Pass through
RiskyClaim
RiskyClaim
RiskyClaim
Outside Money
 Intermediaries
• Can hold outside equity
& diversify within sector 𝑏
• Monitoring
• Create inside money
• Maturity/liquidity
transformation
A L
𝐵1
Money
RiskyClaim
Insideequity
A L
A L
A L
A L
𝐴1
Money
HHNetworth
 Technologies 𝑎
Brunnermeier&Sannikov
 Technologies 𝑏
A L
RiskyClaim
A L
Shock impairs assets: 1st of 4 steps
 Technologies 𝑎
…
Net worth
Inside Money
(deposits)
A L
Outside Money Pass through
RiskyClaim
RiskyClaim
RiskyClaim
Losses
A L
𝐴1
Money
RiskyClaim
Insideequity
𝐵1
A L
A L
A L
A L
𝐴1
Money
HHNetworth
Brunnermeier&Sannikov
 Technologies 𝑏
Shrink balance sheet: 2nd of 4 steps
A
 Technologies 𝑎
Inside Money
(deposits)
…
Net worth
Inside Money
(deposits)
A L
Pass through
Losses
Deleveraging Deleveraging
…
RiskyClaim
RiskyClaim
RiskyClaim
Outside Money
Switch
A L
RiskyClaim
A L
A L
𝐴1
Money
RiskyClaim
Insideequity
𝐵1
A L
A L
A L
A L
𝐴1
Money
HHNetworth
“Paradox of Prudence”
Brunnermeier&Sannikov
 Technologies 𝑏
Liquidity spiral: asset price drop: 3rd of 4
 Technologies 𝑎
Switch
A L
RiskyClaim
A L
A L
𝐴1
Money
RiskyClaim
Insideequity
𝐵1
Inside Money
(deposits)
Outside Money
…
Net worth
Inside Money
(deposits)
A L
Pass through
RiskyClaim
RiskyClaim
RiskyClaim
Losses
Deleveraging Deleveraging
A L
A L
A L
A L
𝐴1
Money
HHNetworth
Brunnermeier&Sannikov
 Technologies 𝑎 Technologies 𝑏
Disinflationary spiral: 4th of 4 steps
A L
A L
A L
A L
𝐴1
Money
HHNetworth
A L
RiskyClaim
A L
A L
𝐴1
Money
RiskyClaim
Insideequity
𝐵1
Inside Money
(deposits)
Outside Money
…
Net worth
Inside Money
(deposits)
A L
Pass through
RiskyClaim
RiskyClaim
RiskyClaim
Losses
Deleveraging Deleveraging
Brunnermeier&Sannikov
… after an adverse shock
 Intermediaries are hit and shrink their balance sheets
inducing
• Asset side liquidity spiral financial stability
• Liability side disinflation spiral price stability
 Response of intermediaries to adverse shock leads to
endogenous risk
• Amplification
• Persistence
 Other sectors can also be undercapitalized
• Japan 1980: corporate sector
• US 2000s: household sector
Brunnermeier&Sannikov
Allocation
 Equilibrium is a map
Histories of shocks prices 𝑞𝑡, 𝑝𝑡, 𝜆 𝑡, allocation
𝒁 𝜏, 0 ≤ 𝜏 ≤ 𝑡 𝛼 𝑡, 𝜒𝑡 & portfolio weights (𝑥 𝑡, 𝑥 𝑡
𝑎
, 𝑥 𝑡
𝑏
)
wealth distribution
𝜂 𝑡 =
𝑁𝑡
(𝑝 𝑡+𝑞 𝑡)𝐾𝑡
∈ 0,1
intermediaries’ wealth share
• All agents maximize utility
 Choose: portfolio, consumption, technology
• All markets clear
 Consumption, capital, money, outside equity of 𝑏
Brunnermeier&Sannikov
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
0
0.5
1
1.5
2
2.5
3
p
q

p,q
Numerical example: prices
Disinflation
spiral
Liquidity
spiral
Brunnermeier&Sannikov
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
0
0.5
1
1.5
2
2.5
3
p
q

p,q
Numerical example: prices
Disinflation
spiral
Liquidity
spiral
𝜗 = 𝑝
𝑝+𝑞
Brunnermeier&Sannikov
Numerical example: dynamics of 𝜂
𝜎𝑡
𝜂
=
𝑥𝑡 (𝜎 𝑏
1 𝑏
− 𝜎𝑡
𝐾
)
1 − 𝑥 𝑡
1−𝜗𝑡
−1
−𝜗′ 𝜂 𝑡
𝜗/𝜂 𝑡
amplification
leverage elasticity
fundamental volatility
Steady state
Brunnermeier&Sannikov
Volatility Paradox
Steady state
Brunnermeier&Sannikov
Overview
 Safe assets
 No monetary economics
• Fixed outside money supply
• Amplification/endogenous risk through
 Liquidity spiral asset side of intermediaries’ balance sheet
 Disinflationary spiral liability side
 Monetary policy
 The Curse of Safe Assets
 ESBies: Creating Safety via Securitization
Brunnermeier&Sannikov
Redistributive MoPo: Ex-post perspective
 Adverse shock  value of risky claims drops
 Monetary policy
• Interest rate cut ⇒ long-term bond price
• Asset purchase ⇒ asset price
• ⇒ “stealth recapitalization” - redistributive
• ⇒ risk premia
 Liquidity & Deflationary Spirals are mitigated
…
Net worth
Inside Money
(deposits)
A L
Outside Money Pass through
𝑁𝑡
Bonds 𝑏𝑡 𝐾𝑡
𝜒𝑡 𝜓 𝑡 𝑞𝑡 𝐾𝑡
Brunnermeier&Sannikov
Redistributive MoPo: Ex-post perspective
 Adverse shock  value of risky claims drops
 Monetary policy
• Interest rate cut ⇒ long-term bond price
• Asset purchase ⇒ asset price
• ⇒ “stealth recapitalization” - redistributive
• ⇒ risk premia
 Liquidity & Deflationary Spirals are mitigated
…
Net worth
Inside Money
(deposits)
A L
Outside Money Pass through
𝑁𝑡
Bonds 𝑏𝑡 𝐾𝑡
𝜒𝑡 𝜓 𝑡 𝑞𝑡 𝐾𝑡
Brunnermeier&Sannikov
Monetary policy and endogenous risk
 Intermediaries’ risk (borrow to scale up)
𝜎𝑡
𝜂
=
𝑥 𝑡 (1 𝑏
𝜎 𝑏
− 𝜎𝑡
𝐾
)
1 + 𝜒 𝑡 𝜓 𝑡−𝜂
𝜂 𝑡
𝜗′ 𝜂 𝑡
𝜗/𝜂 𝑡
− 𝑥 𝑡 + 𝜗𝑡
1−𝜂 𝑡
𝜂 𝑡
𝑏𝑡
𝑝𝑡
𝐵′ 𝜂 𝑡
𝐵(𝜂 𝑡)/𝜂 𝑡
 MoPo works through
𝐵′ 𝜂 𝑡
𝐵(𝜂 𝑡)/𝜂 𝑡
• with right monetary policy bond price 𝐵(𝜂) rises as 𝜂 drops
“stealth recapitalization”
• Switch off liquidity and disinflationary spiral
 Example:
Remove amplification s.t. 𝜎𝑡
𝜂
= 𝑥 𝑡(1 𝑏 𝜎 𝑏 − 𝜎𝑡
𝐾
)
fundamental risk
amplification mitigation
Brunnermeier&Sannikov
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
q, without policy
q, with policy
p, with policy
p, without policy

p,q
Numerical example with monetary policy
Prices
𝑞 is more stable
𝑝 less disinflation
Brunnermeier&Sannikov
Overview
 Safe assets
 No monetary economics
• Fixed outside money supply
• Amplification/endogenous risk through
 Liquidity spiral asset side of intermediaries’ balance sheet
 Disinflationary spiral liability side
 Monetary policy
 The Curse of Safe Assets
 ESBies: Creating Safety via Securitization
Brunnermeier&Sannikov
The “Curse of Safety” with Haddad
 Investment equilibrium
• High real investment
• High market liquidity of
risky assets
 Less safe asset holdings
necessary
Pool of
risky high
yield
assets
Safe asset
Equity Risky assets
Safe asset
Equity
 Safety equilibrium
• Low real investment
• Low market liquidity of
risky assets
 High safe asset holdings
necessary
Brunnermeier&Sannikov
Overview
 Safe assets
 No monetary economics
• Fixed outside money supply
• Amplification/endogenous risk through
 Liquidity spiral asset side of intermediaries’ balance sheet
 Disinflationary spiral liability side
 Monetary policy
 The Curse of Safe Assets
 Asymmetrically supplied safe asset: ESBies solution
Brunnermeier&Sannikov
The two “safe asset challenges”
 Challenge 1:
Safe asset + sovereign debt restructuring w/o diabolic loop
 Challenge 2:
No asymmetrically supplied safe asset
• German Bund
66
French IMF/Anglo-American/German
Brunnermeier&Sannikov
Cross-border flight to safety
 Today: asymmetric shifts across borders
• Value of German debt increases
 German CDS spread rises, but yield on bund drops (flight to quality)
• Value of Italian/Spanish/Greek… sovereign debt declines
 With ESBies: Negative co-movement
• Value of ESBies expands – due to flight to quality
• Value of Junior bond shrinks – due to increased risk
• Asset side is more stable 67
Brunnermeier&Sannikov
Solution: ESBies
 Today: asymmetric shifts across borders
• Value of German debt increases
 German CDS spread rises, but yield on bund drops (flight to quality)
• Value of Italian/Spanish/Greek… sovereign debt declines
 With ESBies: Negative co-movement across tranches
• Value of ESBies expands – due to flight to quality
• Value of Junior bond shrinks – due to increased risk
• Asset side is more stable 68
sovereign
bonds ESBies
Junior Bond
A L
Brunnermeier&Sannikov
Conclusion
 Safe assets
• “Good friend analogy”
• Safe asset tautology (multiple equilibria, bubble)
• Flight to safety
 Safe asset and Money are close cousins
 Amplification & endogenous risk–
due to “Paradox of Prudence”
• Liquidity spiral (fire sales etc.)
• Disinflationay spiral
 Redistributive monetary policy
 Ex-ante insurance -> MH requires MacroPru regulation
 Curse of safe assets
 ESBies – symmetrically supplied for Europe
Brunnermeier&Sannikov
The Euro &
The Battle of Ideas
Markus K. Brunnermeier,
Harold James &
Jean-Pierre Landau
“interests are interpret through the lens of ideas”≈models
ESBies and more …

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Markus Brunnermeier - Keynote at World Finance Conference "Safe Assets"

  • 1. Brunnermeier&Sannikov Safe Assets with Valentin Haddad The I Theory of Money - Money & Banking with Asset Pricing Tools - with Yuliy Sannikov Princeton University World Finance Conference New York City, July 30th, 2016
  • 2. Brunnermeier&Sannikov Definitions of Safe Asset 1. Safe = risk-free for a particular horizon • But inflation risk • E.g. holders are infinitely risk aversion - Caballero & Farhi 2. Safe = informationally insensitive • No decline in value due to asymmetric info 3. Safe = “Good friend analogy” • Safe for random horizon • Appreciates in times of crisis Safe = “Safe Asset Tautology” • Safe because perceived to be safe (multiple equilibria) • Bubble Brunnermeier & Haddad
  • 3. Brunnermeier&Sannikov Definitions of Safe Asset 1. Safe = risk-free for a particular horizon • E.g. holders are infinitely risk aversion Caballero & Farhi • … but inflation risk 2. Safe = informationally insensitive • No decline in value due to asymmetric info 3. Safe = “Good friend analogy” • Safe for random horizon • Appreciates in times of crisis Safe = “Safe Asset Tautology” • Safe because perceived to be safe (multiple equilibria) • Bubble Brunnermeier & Haddad Holmstrom & Gordon
  • 4. Brunnermeier&Sannikov Safe asset & money - close cousins  Store of value store of value • Held in addition to risky assets • Held in order to produce (private) safe assets (by banks!)  Reference/benchmark asset unit of account  Good collateral: stable margins transaction role • Facilitates financial trade Pool of risky high yield assets Safe asset Deposits Equity
  • 5. Brunnermeier&Sannikov Safety versus Risk  US Treasury downgraded by S&P (due to default risk) • … but yield declines  German CDS spread versus yield during Euro crisis
  • 6. Brunnermeier&Sannikov “Money and Banking” (in macro-finance)  Money store of value/safe asset  Banking “diversifier” holds risky assets, issues inside money  Amplification/endogenous risk dynamics • Value of capital declines due to fire-sales Liquidity spiral  Flight to safety • Value of money rises Disinflation spiral a la Fisher  Demand for money rises – less idiosyncratic risk is diversified  Supply for inside money declines – less creation by intermediaries • Endogenous money multiplier = f(capitalization of critical sector) • Paradox of Thrift (in risk terms)  Monetary Policy (redistributive)
  • 7. Brunnermeier&Sannikov “Money and Banking” (in macro-finance)  Money store of value/safe asset  Banking “diversifier” holds risky assets, issues inside money  Amplification/endogenous risk dynamics • Value of capital declines due to fire-sales Liquidity spiral  Flight to safety • Value of money rises Disinflation spiral a la Fisher  Demand for money rises – less idiosyncratic risk is diversified  Supply for inside money declines – less creation by intermediaries • Endogenous money multiplier = f(capitalization of critical sector) • Paradox of Thrift (in risk terms)  Monetary Policy (redistributive) Paradox of Prudence
  • 8. Brunnermeier&Sannikov “Money and Banking” (in macro-finance)  Money store of value/safe asset  Banking “diversifier” holds risky assets, issues inside money  Amplification/endogenous risk dynamics • Value of capital declines due to fire-sales Liquidity spiral  Flight to safety • Value of money rises Disinflation spiral a la Fisher  Demand for money rises – less idiosyncratic risk is diversified  Supply for inside money declines – less creation by intermediaries • Endogenous money multiplier = f(capitalization of critical sector) • Paradox of Thrift (in risk terms)  Monetary Policy (redistributive) Paradox of Prudence
  • 9. Brunnermeier&Sannikov Risk, Monetary & Macropru Policy  Risk • Exogenous risk  Sector-specific systematic cash flow risk  Idiosyncratic • Endogenous risk  Shifts in wealth share systemic risk  Variation in risk premia  Risk management • Monetary policy as “risk transfer”  Affects (relative) asset prices reduces systemic risk • Macroprudential policy  Affects/limits quantities/risk taking
  • 10. Brunnermeier&Sannikov Roadmap  Safe assets and money: close cousins  Model absent monetary policy • Toy model: one sector with outside money • Two sector model with outside money • Adding intermediary sector and inside money  Model with monetary policy  The Curse of Safe Assets  ESBies: securitization and safe assets
  • 11. Brunnermeier&Sannikov One sector basic model 𝐴1  Technologies 𝑎  Each household can only operate one firm • Physical capital • Output  Demand for money sector idiosyncratic risk 𝑦𝑡 = 𝐴𝑘 𝑡 𝑑𝑘 𝑡 𝑘 𝑡 = (Φ 𝜄 𝑡 − 𝛿)𝑑𝑡 + 𝜎 𝑎 𝑑𝑍𝑡 𝑎 + ෤𝜎𝑑 ෨𝑍𝑡 𝑎
  • 12. Brunnermeier&Sannikov Adding outside money  Technologies 𝑎  Each household can only operate one firm • Physical capital • Output  Demand for money 𝑑𝑘 𝑡 𝑘 𝑡 = (Φ 𝜄 𝑡 − 𝛿)𝑑𝑡 + 𝜎 𝑎 𝑑𝑍𝑡 𝑎 + ෤𝜎𝑑 ෨𝑍𝑡 𝑎 sector idiosyncratic risk A L A L A L A L 𝐴1 Money Networth Outside Money 𝑦𝑡 = 𝐴𝑘 𝑡  𝑞𝑡 𝐾𝑡 value of physical capital • Postulate constant 𝑞𝑡 𝐴−𝜄 𝑞 𝑑𝑡 + Φ(𝜄 − 𝛿) 𝑑𝑡 + 𝜎 𝑏 𝑑𝑍𝑡 𝑏 + ෤𝜎𝑑 ෨𝑍𝑡 𝑏  𝑝𝑡 𝐾𝑡 value of outside money • Postulate value of money changes proportional to 𝐾𝑡
  • 13. Brunnermeier&Sannikov Adding outside money  Technologies 𝑎  Each household can only operate one firm • Physical capital • Output  Demand for money 𝑑𝑘 𝑡 𝑘 𝑡 = (Φ 𝜄 𝑡 − 𝛿)𝑑𝑡 + 𝜎 𝑎 𝑑𝑍𝑡 𝑎 + ෤𝜎𝑑 ෨𝑍𝑡 𝑎 sector idiosyncratic risk A L A L A L A L 𝐴1 Money Networth Outside Money  𝑞𝐾𝑡 value of physical capital • 𝑑𝑟 𝑎 = 𝐴−𝜄 𝑞 𝑑𝑡 + Φ(𝜄 − 𝛿) 𝑑𝑡 + 𝜎 𝑎 𝑑𝑍𝑡 𝑎 + ෤𝜎𝑑 ෨𝑍𝑡 𝑎  𝑝𝐾𝑡 value of outside money • 𝑑𝑟 𝑀 = Φ(𝜄 − 𝛿) 𝑔 𝑑𝑡 + 𝜎 𝑎 𝑑𝑍𝑡 𝑎 𝑦𝑡 = 𝐴𝑘 𝑡
  • 14. Brunnermeier&Sannikov Demand with 𝐸 ‫׬‬0 ∞ 𝑒−𝜌𝑡 log 𝑐𝑡 𝑑𝑡  Technologies 𝑎 A L A L A L A L Money Networth Outside Money  𝑞𝐾𝑡 value of physical capital • 𝑑𝑟 𝑎 = 𝐴−𝜄 𝑞 𝑑𝑡 + Φ(𝜄 − 𝛿) 𝑑𝑡 + 𝜎 𝑎 𝑑𝑍𝑡 𝑎 + ෤𝜎𝑑 ෨𝑍𝑡 𝑎  𝑝𝐾𝑡 value of outside money • 𝑑𝑟 𝑀 = Φ(𝜄 − 𝛿) 𝑔 𝑑𝑡 + 𝜎 𝑎 𝑑𝑍𝑡 𝑎  Consumption demand: 𝜌 𝑝 + 𝑞 𝐾𝑡 = 𝐴 − 𝜄 𝐾𝑡  Asset (share) demand 𝑥 𝑎: 𝐸 𝑑𝑟 𝑎 − 𝑑𝑟 𝑀 /𝑑𝑡 = 𝐶𝑜𝑣[𝑑𝑟 𝑎 − 𝑑𝑟 𝑀 , ต 𝑑𝑛 𝑡 𝑎 𝑛 𝑡 𝑎 𝑑𝑟 𝑀+𝑥 𝑎 𝑑𝑟 𝑎−𝑑𝑟 𝑀 ] = 𝑥 𝑎 ෤𝜎2 𝑥 𝑎 = 𝐸 𝑑𝑟 𝑎−𝑑𝑟 𝑀 /𝑑𝑡 ෥𝜎2 = (𝐴−𝜄)/𝑞 ෥𝜎2 = 𝑞 𝑞+𝑝  Investment rate: (Tobin’s q) Φ′ 𝜄 = 1/𝑞 • For Φ 𝜄 = 1 𝜅 log(𝜅𝜄 + 1) ⇒ 𝜄∗ = 𝑞−1 𝜅 𝐴1
  • 15. Brunnermeier&Sannikov Demand with log-utility  Technologies 𝑎 A L A L A L A L Money Networth Outside Money  𝑞𝐾𝑡 value of physical capital • 𝑑𝑟 𝑎 = 𝐴−𝜄 𝑞 𝑑𝑡 + Φ(𝜄 − 𝛿) 𝑑𝑡 + 𝜎 𝑎 𝑑𝑍𝑡 𝑎 + ෤𝜎𝑑 ෨𝑍𝑡 𝑎  𝑝𝐾𝑡 value of outside money • 𝑑𝑟 𝑀 = Φ(𝜄 − 𝛿) 𝑔 𝑑𝑡 + 𝜎 𝑎 𝑑𝑍𝑡 𝑎  Consumption demand: 𝜌 𝑝 + 𝑞 𝐾𝑡 = 𝐴 − 𝜄 𝐾𝑡  Asset (share) demand 𝑥 𝑎: 𝐸 𝑑𝑟 𝑎 − 𝑑𝑟 𝑀 /𝑑𝑡 = 𝐶𝑜𝑣[𝑑𝑟 𝑎 − 𝑑𝑟 𝑀 , ต 𝑑𝑛 𝑡 𝑎 𝑛 𝑡 𝑎 𝑑𝑟 𝑀+𝑥 𝑎 𝑑𝑟 𝑎−𝑑𝑟 𝑀 ] = 𝑥 𝑎 ෤𝜎2 𝑥 𝑎 = 𝐸 𝑑𝑟 𝑎−𝑑𝑟 𝑀 /𝑑𝑡 ෥𝜎2 = (𝐴−𝜄)/𝑞 ෥𝜎2 = 𝑞 𝑞+𝑝  Investment rate: (Tobin’s q) Φ′ 𝜄 = 1/𝑞 • For Φ 𝜄 = 1 𝜅 log(𝜅𝜄 + 1) ⇒ 𝜄∗ = 𝑞−1 𝜅 𝐴1
  • 16. Brunnermeier&Sannikov Demand with log-utility  Technologies 𝑎 A L A L A L A L Money Networth Outside Money  𝑞𝐾𝑡 value of physical capital • 𝑑𝑟 𝑎 = 𝐴−𝜄 𝑞 𝑑𝑡 + Φ(𝜄 − 𝛿) 𝑑𝑡 + 𝜎 𝑎 𝑑𝑍𝑡 𝑎 + ෤𝜎𝑑 ෨𝑍𝑡 𝑎  𝑝𝐾𝑡 value of outside money • 𝑑𝑟 𝑀 = Φ(𝜄 − 𝛿) 𝑔 𝑑𝑡 + 𝜎 𝑎 𝑑𝑍𝑡 𝑎  Consumption demand: 𝜌 𝑝 + 𝑞 𝐾𝑡 = 𝐴 − 𝜄 𝐾𝑡  Asset (share) demand 𝑥 𝑎: 𝐸 𝑑𝑟 𝑎 − 𝑑𝑟 𝑀 /𝑑𝑡 = 𝐶𝑜𝑣[𝑑𝑟 𝑎 − 𝑑𝑟 𝑀 , ต 𝑑𝑛 𝑡 𝑎 𝑛 𝑡 𝑎 𝑑𝑟 𝑀+𝑥 𝑎 𝑑𝑟 𝑎−𝑑𝑟 𝑀 ] = 𝑥 𝑎 ෤𝜎2 𝑥 𝑎 = 𝐸 𝑑𝑟 𝑎−𝑑𝑟 𝑀 /𝑑𝑡 ෥𝜎2 = (𝐴−𝜄)/𝑞 ෥𝜎2 = 𝑞 𝑞+𝑝  Investment rate: (Tobin’s q) Φ′ 𝜄 = 1/𝑞 • For Φ 𝜄 = 1 𝜅 log(𝜅𝜄 + 1) ⇒ 𝜄 = 𝑞−1 𝜅 𝐴1
  • 17. Brunnermeier&Sannikov Market clearing  Technologies 𝑎 A L A L A L A L Money Networth Outside Money  𝑞𝐾𝑡 value of physical capital • 𝑑𝑟 𝑎 = 𝐴−𝜄 𝑞 𝑑𝑡 + Φ(𝜄 − 𝛿) 𝑑𝑡 + 𝜎 𝑎 𝑑𝑍𝑡 𝑎 + ෤𝜎𝑑 ෨𝑍𝑡 𝑎  𝑝𝐾𝑡 value of outside money • 𝑑𝑟 𝑀 = Φ(𝜄 − 𝛿) 𝑔 𝑑𝑡 + 𝜎 𝑎 𝑑𝑍𝑡 𝑎  Consumption demand: 𝜌 𝑝 + 𝑞 𝐾𝑡 = 𝐴 − 𝜄 𝐾𝑡  Asset (share) demand 𝑥 𝑎: 𝐸 𝑑𝑟 𝑎 − 𝑑𝑟 𝑀 /𝑑𝑡 = 𝐶𝑜𝑣[𝑑𝑟 𝑎 − 𝑑𝑟 𝑀 , ต 𝑑𝑛 𝑡 𝑎 𝑛 𝑡 𝑎 𝑑𝑟 𝑀+𝑥 𝑎 𝑑𝑟 𝑎−𝑑𝑟 𝑀 ] = 𝑥 𝑎 ෤𝜎2 𝑥 𝑎 = 𝐸 𝑑𝑟 𝑎−𝑑𝑟 𝑀 /𝑑𝑡 ෥𝜎2 = (𝐴−𝜄)/𝑞 ෥𝜎2 = 𝑞 𝑞+𝑝  Investment rate: (Tobin’s q) Φ′ 𝜄 = 1/𝑞 • For Φ 𝜄 = 1 𝜅 log(𝜅𝜄 + 1) ⇒ 𝜄 = 𝑞−1 𝜅 𝐴1
  • 18. Brunnermeier&Sannikov Equilibrium Moneyless equilibrium Money equilibrium 𝑝0 = 0 𝑝 = ෥𝜎− 𝜌 𝜌 𝑞 𝑞0 = 𝜅𝐴+1 𝜅𝜌+1 𝑞 = 𝜅𝐴+1 𝜅 𝜌෥𝜎+1 ෤𝜎𝜌 𝑝 𝑞 0 𝑞0 >
  • 19. Brunnermeier&Sannikov Welfare analysis Moneyless equilibrium Money equilibrium 𝑝0 = 0 𝑝 = ෥𝜎− 𝜌 𝜌 𝑞 𝑞0 = 𝜅𝐴+1 𝜅𝜌+1 𝑞 = 𝜅𝐴+1 𝜅 𝜌෥𝜎+1 𝑔0 𝑔 welfare0 welfare< > >
  • 20. Brunnermeier&Sannikov Roadmap  Safe assets and money: close cousins  Model absent monetary policy • Toy model: one sector with outside money • Two sector model with outside money • Adding intermediary sector and inside money  Model with monetary policy  The Curse of Safe Assets  ESBies: securitization and safe assets
  • 21. Brunnermeier&Sannikov 𝐴1 𝐴1 Outline of two sector model 𝐴1 𝐵1 SwitchSwitch technology  Technologies 𝑎 Technologies 𝑏  Households have to • Specialize in one subsector sector specific + idiosyncratic risk for one period • Demand for money 𝑑𝑘 𝑡 𝑘 𝑡 = ⋯ 𝑑𝑡 + 𝜎 𝑏 𝑑𝑍𝑡 𝑏 + ෤𝜎𝑑 ෨𝑍𝑡 𝑏 𝑑𝑘 𝑡 𝑘 𝑡 = ⋯ 𝑑𝑡 + 𝜎 𝑎 𝑑𝑍𝑡 𝑎 + ෤𝜎𝑑 ෨𝑍𝑡 𝑎
  • 22. Brunnermeier&Sannikov Add outside money  Households have to • Specialize in one subsector for one period • Demand for money Outside Money A L A L A Money 𝐵1 L Networth  Technologies 𝑎 Technologies 𝑏 SwitchSwitch technology A L A L A L A L 𝐴1 Money Networth
  • 23. Brunnermeier&Sannikov Roadmap  Safe assets and money: close cousins  Model absent monetary policy • Toy model: one sector with outside money • Two sector model with outside money • Adding intermediary sector and inside money  Model with monetary policy  The Curse of Safe Assets  ESBies: securitization and safe assets
  • 24. Brunnermeier&Sannikov Roadmap  Model absent monetary policy • Toy model: one sector with outside money • Two sector model with outside money • Adding intermediary sector and inside money  Model with monetary policy  Model with macro-prudential policy
  • 25. Brunnermeier&Sannikov  Technologies 𝑏 • Risk can be partially sold off to intermediaries Add intermediaries Net worth A L Outside Money A L A L A Money 𝐵1 L Networth  Technologies 𝑎 • Risk is not contractable (Plagued with moral hazard problems) A L A L A L A L 𝐴1 Money Networth
  • 26. Brunnermeier&Sannikov  Technologies 𝑏 Add intermediaries Net worth A L Outside Money  Intermediaries • Can hold outside equity & diversify within sector 𝑏 • Monitoring A L A L A Money 𝐵1 L Networth  Technologies 𝑎 A L A L A L A L 𝐴1 Money Networth
  • 27. Brunnermeier&Sannikov  Technologies 𝑏 A L RiskyClaim A L RiskyClaim Add intermediaries … Net worth A L RiskyClaim RiskyClaim RiskyClaim Outside Money A L 𝐵1 Money RiskyClaim Insideequity  Intermediaries • Can hold outside equity & diversify within sector 𝑏 • Monitoring  Technologies 𝑎 A L A L A L A L 𝐴1 Money Networth
  • 28. Brunnermeier&Sannikov A L RiskyClaim A L RiskyClaim Add intermediaries  Technologies 𝑏 … Net worth Inside Money (deposits) A L Outside Money Pass through RiskyClaim RiskyClaim RiskyClaim Outside Money  Intermediaries • Can hold outside equity & diversify within sector 𝑏 • Monitoring • Create inside money • Maturity/liquidity transformation A L 𝐵1 Money RiskyClaim Insideequity A L A L A L A L 𝐴1 Money HHNetworth  Technologies 𝑎
  • 29. Brunnermeier&Sannikov  Technologies 𝑏 A L RiskyClaim A L Shock impairs assets: 1st of 4 steps  Technologies 𝑎 … Net worth Inside Money (deposits) A L Outside Money Pass through RiskyClaim RiskyClaim RiskyClaim Losses A L 𝐴1 Money RiskyClaim Insideequity 𝐵1 A L A L A L A L 𝐴1 Money HHNetworth
  • 30. Brunnermeier&Sannikov  Technologies 𝑏 Shrink balance sheet: 2nd of 4 steps A  Technologies 𝑎 Inside Money (deposits) … Net worth Inside Money (deposits) A L Pass through Losses Deleveraging Deleveraging … RiskyClaim RiskyClaim RiskyClaim Outside Money Switch A L RiskyClaim A L A L 𝐴1 Money RiskyClaim Insideequity 𝐵1 A L A L A L A L 𝐴1 Money HHNetworth “Paradox of Prudence”
  • 31. Brunnermeier&Sannikov  Technologies 𝑏 Liquidity spiral: asset price drop: 3rd of 4  Technologies 𝑎 Switch A L RiskyClaim A L A L 𝐴1 Money RiskyClaim Insideequity 𝐵1 Inside Money (deposits) Outside Money … Net worth Inside Money (deposits) A L Pass through RiskyClaim RiskyClaim RiskyClaim Losses Deleveraging Deleveraging A L A L A L A L 𝐴1 Money HHNetworth
  • 32. Brunnermeier&Sannikov  Technologies 𝑎 Technologies 𝑏 Disinflationary spiral: 4th of 4 steps A L A L A L A L 𝐴1 Money HHNetworth A L RiskyClaim A L A L 𝐴1 Money RiskyClaim Insideequity 𝐵1 Inside Money (deposits) Outside Money … Net worth Inside Money (deposits) A L Pass through RiskyClaim RiskyClaim RiskyClaim Losses Deleveraging Deleveraging
  • 33. Brunnermeier&Sannikov … after an adverse shock  Intermediaries are hit and shrink their balance sheets inducing • Asset side liquidity spiral financial stability • Liability side disinflation spiral price stability  Response of intermediaries to adverse shock leads to endogenous risk • Amplification • Persistence  Other sectors can also be undercapitalized • Japan 1980: corporate sector • US 2000s: household sector
  • 34. Brunnermeier&Sannikov Allocation  Equilibrium is a map Histories of shocks prices 𝑞𝑡, 𝑝𝑡, 𝜆 𝑡, allocation 𝒁 𝜏, 0 ≤ 𝜏 ≤ 𝑡 𝛼 𝑡, 𝜒𝑡 & portfolio weights (𝑥 𝑡, 𝑥 𝑡 𝑎 , 𝑥 𝑡 𝑏 ) wealth distribution 𝜂 𝑡 = 𝑁𝑡 (𝑝 𝑡+𝑞 𝑡)𝐾𝑡 ∈ 0,1 intermediaries’ wealth share • All agents maximize utility  Choose: portfolio, consumption, technology • All markets clear  Consumption, capital, money, outside equity of 𝑏
  • 35. Brunnermeier&Sannikov 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.5 1 1.5 2 2.5 3 p q  p,q Numerical example: prices Disinflation spiral Liquidity spiral
  • 36. Brunnermeier&Sannikov 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.5 1 1.5 2 2.5 3 p q  p,q Numerical example: prices Disinflation spiral Liquidity spiral 𝜗 = 𝑝 𝑝+𝑞
  • 37. Brunnermeier&Sannikov Numerical example: dynamics of 𝜂 𝜎𝑡 𝜂 = 𝑥𝑡 (𝜎 𝑏 1 𝑏 − 𝜎𝑡 𝐾 ) 1 − 𝑥 𝑡 1−𝜗𝑡 −1 −𝜗′ 𝜂 𝑡 𝜗/𝜂 𝑡 amplification leverage elasticity fundamental volatility Steady state
  • 39. Brunnermeier&Sannikov Overview  Safe assets  No monetary economics • Fixed outside money supply • Amplification/endogenous risk through  Liquidity spiral asset side of intermediaries’ balance sheet  Disinflationary spiral liability side  Monetary policy  The Curse of Safe Assets  ESBies: Creating Safety via Securitization
  • 40. Brunnermeier&Sannikov Redistributive MoPo: Ex-post perspective  Adverse shock  value of risky claims drops  Monetary policy • Interest rate cut ⇒ long-term bond price • Asset purchase ⇒ asset price • ⇒ “stealth recapitalization” - redistributive • ⇒ risk premia  Liquidity & Deflationary Spirals are mitigated … Net worth Inside Money (deposits) A L Outside Money Pass through 𝑁𝑡 Bonds 𝑏𝑡 𝐾𝑡 𝜒𝑡 𝜓 𝑡 𝑞𝑡 𝐾𝑡
  • 41. Brunnermeier&Sannikov Redistributive MoPo: Ex-post perspective  Adverse shock  value of risky claims drops  Monetary policy • Interest rate cut ⇒ long-term bond price • Asset purchase ⇒ asset price • ⇒ “stealth recapitalization” - redistributive • ⇒ risk premia  Liquidity & Deflationary Spirals are mitigated … Net worth Inside Money (deposits) A L Outside Money Pass through 𝑁𝑡 Bonds 𝑏𝑡 𝐾𝑡 𝜒𝑡 𝜓 𝑡 𝑞𝑡 𝐾𝑡
  • 42. Brunnermeier&Sannikov Monetary policy and endogenous risk  Intermediaries’ risk (borrow to scale up) 𝜎𝑡 𝜂 = 𝑥 𝑡 (1 𝑏 𝜎 𝑏 − 𝜎𝑡 𝐾 ) 1 + 𝜒 𝑡 𝜓 𝑡−𝜂 𝜂 𝑡 𝜗′ 𝜂 𝑡 𝜗/𝜂 𝑡 − 𝑥 𝑡 + 𝜗𝑡 1−𝜂 𝑡 𝜂 𝑡 𝑏𝑡 𝑝𝑡 𝐵′ 𝜂 𝑡 𝐵(𝜂 𝑡)/𝜂 𝑡  MoPo works through 𝐵′ 𝜂 𝑡 𝐵(𝜂 𝑡)/𝜂 𝑡 • with right monetary policy bond price 𝐵(𝜂) rises as 𝜂 drops “stealth recapitalization” • Switch off liquidity and disinflationary spiral  Example: Remove amplification s.t. 𝜎𝑡 𝜂 = 𝑥 𝑡(1 𝑏 𝜎 𝑏 − 𝜎𝑡 𝐾 ) fundamental risk amplification mitigation
  • 43. Brunnermeier&Sannikov 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 q, without policy q, with policy p, with policy p, without policy  p,q Numerical example with monetary policy Prices 𝑞 is more stable 𝑝 less disinflation
  • 44. Brunnermeier&Sannikov Overview  Safe assets  No monetary economics • Fixed outside money supply • Amplification/endogenous risk through  Liquidity spiral asset side of intermediaries’ balance sheet  Disinflationary spiral liability side  Monetary policy  The Curse of Safe Assets  ESBies: Creating Safety via Securitization
  • 45. Brunnermeier&Sannikov The “Curse of Safety” with Haddad  Investment equilibrium • High real investment • High market liquidity of risky assets  Less safe asset holdings necessary Pool of risky high yield assets Safe asset Equity Risky assets Safe asset Equity  Safety equilibrium • Low real investment • Low market liquidity of risky assets  High safe asset holdings necessary
  • 46. Brunnermeier&Sannikov Overview  Safe assets  No monetary economics • Fixed outside money supply • Amplification/endogenous risk through  Liquidity spiral asset side of intermediaries’ balance sheet  Disinflationary spiral liability side  Monetary policy  The Curse of Safe Assets  Asymmetrically supplied safe asset: ESBies solution
  • 47. Brunnermeier&Sannikov The two “safe asset challenges”  Challenge 1: Safe asset + sovereign debt restructuring w/o diabolic loop  Challenge 2: No asymmetrically supplied safe asset • German Bund 66 French IMF/Anglo-American/German
  • 48. Brunnermeier&Sannikov Cross-border flight to safety  Today: asymmetric shifts across borders • Value of German debt increases  German CDS spread rises, but yield on bund drops (flight to quality) • Value of Italian/Spanish/Greek… sovereign debt declines  With ESBies: Negative co-movement • Value of ESBies expands – due to flight to quality • Value of Junior bond shrinks – due to increased risk • Asset side is more stable 67
  • 49. Brunnermeier&Sannikov Solution: ESBies  Today: asymmetric shifts across borders • Value of German debt increases  German CDS spread rises, but yield on bund drops (flight to quality) • Value of Italian/Spanish/Greek… sovereign debt declines  With ESBies: Negative co-movement across tranches • Value of ESBies expands – due to flight to quality • Value of Junior bond shrinks – due to increased risk • Asset side is more stable 68 sovereign bonds ESBies Junior Bond A L
  • 50. Brunnermeier&Sannikov Conclusion  Safe assets • “Good friend analogy” • Safe asset tautology (multiple equilibria, bubble) • Flight to safety  Safe asset and Money are close cousins  Amplification & endogenous risk– due to “Paradox of Prudence” • Liquidity spiral (fire sales etc.) • Disinflationay spiral  Redistributive monetary policy  Ex-ante insurance -> MH requires MacroPru regulation  Curse of safe assets  ESBies – symmetrically supplied for Europe
  • 51. Brunnermeier&Sannikov The Euro & The Battle of Ideas Markus K. Brunnermeier, Harold James & Jean-Pierre Landau “interests are interpret through the lens of ideas”≈models ESBies and more …