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Financial Frictions, Asset Prices, and theGreat Recession
Zhen Huo and Jose-Vıctor Rıos-Rull
University of Minnesota, Federal Reserve Bank of Minneapolis, CAERP, CEPR, NBER
New York University
September 18 2014
First Version April 2013
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 1/58
Facts on the last recession: I
2004 2006 2008 2010 2012−8
−6
−4
−2
0
2
4
6
Real output
2004 2006 2008 2010 20124
5
6
7
8
9
10
Unemployment
2004 2006 2008 2010 2012−10
−8
−6
−4
−2
0
2
4
6
Consumption
2004 2006 2008 2010 2012−40
−30
−20
−10
0
10
20
30
Investment
Note: Except for unemployment, figures show percentage deviation from a linear trend.Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 2/58
Facts on the last recession: II
2004 2006 2008 2010 20123.6
3.8
4
4.2
4.4
4.6
4.8
5
Wealth to output
2004 2006 2008 2010 20120.55
0.6
0.65
0.7
0.75
0.8
Debt to output
2004 2006 2008 2010 20121
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
Housing value to output
2004 2006 2008 2010 2012−5
−4
−3
−2
−1
0
1
2
3
4
Labor Quality adjusted Productivity
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 3/58
Facts on the last recession: III More
2004 2006 2008 2010 2012−4
−3
−2
−1
0
1
2
3
TFP with total hours
2004 2006 2008 2010 2012−3
−2
−1
0
1
2
3
4
Labor productivity
2004 2006 2008 2010 2012−1
−0.8
−0.6
−0.4
−0.2
0
0.2
0.4
0.6
0.8
Labor quality
2004 2006 2008 2010 2012−5
−4
−3
−2
−1
0
1
2
3
4
TFP with total labor inputs
Note: Figures show percentage deviation from a linear trend.Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 4/58
Summary of the facts
Large decline in output, employment, consumption, and investment.
Households deleveraging process: private debt and housing priceplunged.
Total factor productivity dropped.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 5/58
Summary of the facts
Large decline in output, employment, consumption, and investment.
Households deleveraging process: private debt and housing priceplunged.
Total factor productivity dropped.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 5/58
Summary of the facts
Large decline in output, employment, consumption, and investment.
Households deleveraging process: private debt and housing priceplunged.
Total factor productivity dropped.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 5/58
Objective: When can recessions be triggered by worse financialconditions faced by households?
1 Real frictions that make difficult to switch from production ofconsumption goods to exports or investment. Labor market frictionsthat limit wage adjustments.
2 Households differing in wealth and job market prospects.
3 Asset prices respond to market conditions: Both housing prices andthe Stock Market are Endogenous
4 A financial system used widely by not-too-rich households to buyhouses (loans have to be collateralized) which are inferior goods andnot wanted by the super-rich.
5 Frictions in the goods market generate movements in measured TFP.
We extend [Huo and Rıos-Rull(2013a)] and [Huo and Rıos-Rull(2013b)]
[Bai, Rıos-Rull, and Storesletten(2011)] [Petrosky-Nadeau and Wasmer(2011)] in variousways to include a production sector and asset prices that allows us totalk about the U.S. recession.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 6/58
Objective: When can recessions be triggered by worse financialconditions faced by households?
1 Real frictions that make difficult to switch from production ofconsumption goods to exports or investment. Labor market frictionsthat limit wage adjustments.
2 Households differing in wealth and job market prospects.
3 Asset prices respond to market conditions: Both housing prices andthe Stock Market are Endogenous
4 A financial system used widely by not-too-rich households to buyhouses (loans have to be collateralized) which are inferior goods andnot wanted by the super-rich.
5 Frictions in the goods market generate movements in measured TFP.
We extend [Huo and Rıos-Rull(2013a)] and [Huo and Rıos-Rull(2013b)]
[Bai, Rıos-Rull, and Storesletten(2011)] [Petrosky-Nadeau and Wasmer(2011)] in variousways to include a production sector and asset prices that allows us totalk about the U.S. recession.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 6/58
Objective: When can recessions be triggered by worse financialconditions faced by households?
1 Real frictions that make difficult to switch from production ofconsumption goods to exports or investment. Labor market frictionsthat limit wage adjustments.
2 Households differing in wealth and job market prospects.
3 Asset prices respond to market conditions: Both housing prices andthe Stock Market are Endogenous
4 A financial system used widely by not-too-rich households to buyhouses (loans have to be collateralized) which are inferior goods andnot wanted by the super-rich.
5 Frictions in the goods market generate movements in measured TFP.
We extend [Huo and Rıos-Rull(2013a)] and [Huo and Rıos-Rull(2013b)]
[Bai, Rıos-Rull, and Storesletten(2011)] [Petrosky-Nadeau and Wasmer(2011)] in variousways to include a production sector and asset prices that allows us totalk about the U.S. recession.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 6/58
Objective: When can recessions be triggered by worse financialconditions faced by households?
1 Real frictions that make difficult to switch from production ofconsumption goods to exports or investment. Labor market frictionsthat limit wage adjustments.
2 Households differing in wealth and job market prospects.
3 Asset prices respond to market conditions: Both housing prices andthe Stock Market are Endogenous
4 A financial system used widely by not-too-rich households to buyhouses (loans have to be collateralized) which are inferior goods andnot wanted by the super-rich.
5 Frictions in the goods market generate movements in measured TFP.
We extend [Huo and Rıos-Rull(2013a)] and [Huo and Rıos-Rull(2013b)]
[Bai, Rıos-Rull, and Storesletten(2011)] [Petrosky-Nadeau and Wasmer(2011)] in variousways to include a production sector and asset prices that allows us totalk about the U.S. recession.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 6/58
Objective: When can recessions be triggered by worse financialconditions faced by households?
1 Real frictions that make difficult to switch from production ofconsumption goods to exports or investment. Labor market frictionsthat limit wage adjustments.
2 Households differing in wealth and job market prospects.
3 Asset prices respond to market conditions: Both housing prices andthe Stock Market are Endogenous
4 A financial system used widely by not-too-rich households to buyhouses (loans have to be collateralized) which are inferior goods andnot wanted by the super-rich.
5 Frictions in the goods market generate movements in measured TFP.
We extend [Huo and Rıos-Rull(2013a)] and [Huo and Rıos-Rull(2013b)]
[Bai, Rıos-Rull, and Storesletten(2011)] [Petrosky-Nadeau and Wasmer(2011)] in variousways to include a production sector and asset prices that allows us totalk about the U.S. recession.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 6/58
Objective: When can recessions be triggered by worse financialconditions faced by households?
1 Real frictions that make difficult to switch from production ofconsumption goods to exports or investment. Labor market frictionsthat limit wage adjustments.
2 Households differing in wealth and job market prospects.
3 Asset prices respond to market conditions: Both housing prices andthe Stock Market are Endogenous
4 A financial system used widely by not-too-rich households to buyhouses (loans have to be collateralized) which are inferior goods andnot wanted by the super-rich.
5 Frictions in the goods market generate movements in measured TFP.
We extend [Huo and Rıos-Rull(2013a)] and [Huo and Rıos-Rull(2013b)]
[Bai, Rıos-Rull, and Storesletten(2011)] [Petrosky-Nadeau and Wasmer(2011)] in variousways to include a production sector and asset prices that allows us totalk about the U.S. recession.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 6/58
Objective: When can recessions be triggered by worse financialconditions faced by households?
1 Real frictions that make difficult to switch from production ofconsumption goods to exports or investment. Labor market frictionsthat limit wage adjustments.
2 Households differing in wealth and job market prospects.
3 Asset prices respond to market conditions: Both housing prices andthe Stock Market are Endogenous
4 A financial system used widely by not-too-rich households to buyhouses (loans have to be collateralized) which are inferior goods andnot wanted by the super-rich.
5 Frictions in the goods market generate movements in measured TFP.
We extend [Huo and Rıos-Rull(2013a)] and [Huo and Rıos-Rull(2013b)]
[Bai, Rıos-Rull, and Storesletten(2011)] [Petrosky-Nadeau and Wasmer(2011)] in variousways to include a production sector and asset prices that allows us totalk about the U.S. recession.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 6/58
Findings
A recession can be triggered by financial shocks to households.
It shares most of the features of the Great Recession.
Large reductions in assets (housing and stocks) prices.
Lower than the data due to inexistence of default, foreclosures, andadjustment costs in house purchases.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 7/58
Findings
A recession can be triggered by financial shocks to households.
It shares most of the features of the Great Recession.
Large reductions in assets (housing and stocks) prices.
Lower than the data due to inexistence of default, foreclosures, andadjustment costs in house purchases.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 7/58
Findings
A recession can be triggered by financial shocks to households.
It shares most of the features of the Great Recession.
Large reductions in assets (housing and stocks) prices.
Lower than the data due to inexistence of default, foreclosures, andadjustment costs in house purchases.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 7/58
Findings
A recession can be triggered by financial shocks to households.
It shares most of the features of the Great Recession.
Large reductions in assets (housing and stocks) prices.
Lower than the data due to inexistence of default, foreclosures, andadjustment costs in house purchases.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 7/58
Findings
A recession can be triggered by financial shocks to households.
It shares most of the features of the Great Recession.
Large reductions in assets (housing and stocks) prices.
Lower than the data due to inexistence of default, foreclosures, andadjustment costs in house purchases.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 7/58
Model
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 8/58
Households: Preferences
Continuum of households that live forever (β), are subject touninsurable idiosyncratic and aggregate shocks.
H’holds care about quantities and number of varieties of nontradables.
cN =
(∫ IN
0
c1ρ
Ni di
)ρ
Under equal consumption of each variety: cN IρN =
[∫ IN0
c1ρ
Ni di
]ρ
Households have to search for varieties, its number is a choice.
IN = d Ψd(Qg)
Ψd(Qg): Probability (per search unit) of finding a variety.
Households also like tradables and housing and dislike goods searching
u [cA(cN IρN , cT ), h, d]
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 9/58
Households: Preferences
Continuum of households that live forever (β), are subject touninsurable idiosyncratic and aggregate shocks.
H’holds care about quantities and number of varieties of nontradables.
cN =
(∫ IN
0
c1ρ
Ni di
)ρ
Under equal consumption of each variety: cN IρN =
[∫ IN0
c1ρ
Ni di
]ρ
Households have to search for varieties, its number is a choice.
IN = d Ψd(Qg)
Ψd(Qg): Probability (per search unit) of finding a variety.
Households also like tradables and housing and dislike goods searching
u [cA(cN IρN , cT ), h, d]
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 9/58
Households: Preferences
Continuum of households that live forever (β), are subject touninsurable idiosyncratic and aggregate shocks.
H’holds care about quantities and number of varieties of nontradables.
cN =
(∫ IN
0
c1ρ
Ni di
)ρUnder equal consumption of each variety: cN IρN =
[∫ IN0
c1ρ
Ni di
]ρ
Households have to search for varieties, its number is a choice.
IN = d Ψd(Qg)
Ψd(Qg): Probability (per search unit) of finding a variety.
Households also like tradables and housing and dislike goods searching
u [cA(cN IρN , cT ), h, d]
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 9/58
Households: Preferences
Continuum of households that live forever (β), are subject touninsurable idiosyncratic and aggregate shocks.
H’holds care about quantities and number of varieties of nontradables.
cN =
(∫ IN
0
c1ρ
Ni di
)ρUnder equal consumption of each variety: cN IρN =
[∫ IN0
c1ρ
Ni di
]ρ
Households have to search for varieties, its number is a choice.
IN = d Ψd(Qg)
Ψd(Qg): Probability (per search unit) of finding a variety.
Households also like tradables and housing and dislike goods searching
u [cA(cN IρN , cT ), h, d]
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 9/58
Households: Preferences
Continuum of households that live forever (β), are subject touninsurable idiosyncratic and aggregate shocks.
H’holds care about quantities and number of varieties of nontradables.
cN =
(∫ IN
0
c1ρ
Ni di
)ρUnder equal consumption of each variety: cN IρN =
[∫ IN0
c1ρ
Ni di
]ρ
Households have to search for varieties, its number is a choice.
IN = d Ψd(Qg)
Ψd(Qg): Probability (per search unit) of finding a variety.
Households also like tradables and housing and dislike goods searching
u [cA(cN IρN , cT ), h, d]
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 9/58
Households: Endowments and Wealth
Household skill type is ε, follows a Markov chain Γε,ε′ . Moves slowlyand accommodates opportunities to get rich.
Households either have a job e = 1 or not e = 0.
Type-dependent exogenous job destruction rate δεn.
Job finding rate is type independent and depends on job creation byfirms (workers are rationed, it is like no matching function in labormarket but hiring costs) ([Fang and Nie(2013)]).
Households have assets a. These assets can be allocated to(frictionless) houses and/or to financial assets with a collateralconstraint. The poor will have some housing wealth and a mortgage,the rich houses and shares of the economy’s mutual fund.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 10/58
Households: Endowments and Wealth
Household skill type is ε, follows a Markov chain Γε,ε′ . Moves slowlyand accommodates opportunities to get rich.
Households either have a job e = 1 or not e = 0.
Type-dependent exogenous job destruction rate δεn.
Job finding rate is type independent and depends on job creation byfirms (workers are rationed, it is like no matching function in labormarket but hiring costs) ([Fang and Nie(2013)]).
Households have assets a. These assets can be allocated to(frictionless) houses and/or to financial assets with a collateralconstraint. The poor will have some housing wealth and a mortgage,the rich houses and shares of the economy’s mutual fund.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 10/58
Households: Endowments and Wealth
Household skill type is ε, follows a Markov chain Γε,ε′ . Moves slowlyand accommodates opportunities to get rich.
Households either have a job e = 1 or not e = 0.
Type-dependent exogenous job destruction rate δεn.
Job finding rate is type independent and depends on job creation byfirms (workers are rationed, it is like no matching function in labormarket but hiring costs) ([Fang and Nie(2013)]).
Households have assets a. These assets can be allocated to(frictionless) houses and/or to financial assets with a collateralconstraint. The poor will have some housing wealth and a mortgage,the rich houses and shares of the economy’s mutual fund.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 10/58
Households: Endowments and Wealth
Household skill type is ε, follows a Markov chain Γε,ε′ . Moves slowlyand accommodates opportunities to get rich.
Households either have a job e = 1 or not e = 0.
Type-dependent exogenous job destruction rate δεn.
Job finding rate is type independent and depends on job creation byfirms (workers are rationed, it is like no matching function in labormarket but hiring costs) ([Fang and Nie(2013)]).
Households have assets a. These assets can be allocated to(frictionless) houses and/or to financial assets with a collateralconstraint. The poor will have some housing wealth and a mortgage,the rich houses and shares of the economy’s mutual fund.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 10/58
Households: Endowments and Wealth
Household skill type is ε, follows a Markov chain Γε,ε′ . Moves slowlyand accommodates opportunities to get rich.
Households either have a job e = 1 or not e = 0.
Type-dependent exogenous job destruction rate δεn.
Job finding rate is type independent and depends on job creation byfirms (workers are rationed, it is like no matching function in labormarket but hiring costs) ([Fang and Nie(2013)]).
Households have assets a. These assets can be allocated to(frictionless) houses and/or to financial assets with a collateralconstraint. The poor will have some housing wealth and a mortgage,the rich houses and shares of the economy’s mutual fund.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 10/58
Production: two sectors tradables and nontradables.
Nontradables
Monopolistic firms, each one producing a different variety.
Each firm/variety has many locations, and each location has its ownproduction function. Labor can be partially reallocated to accommodatedemand differences across locations.
Firms post prices before the location is filled.
Tradables (standard).
Competitive.
(Large) Adjustment costs to both capital and labor.
Its output is used for exports, investment, and (part of) consumption.
Decreasing returns.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 11/58
Production: two sectors tradables and nontradables.
Nontradables
Monopolistic firms, each one producing a different variety.
Each firm/variety has many locations, and each location has its ownproduction function. Labor can be partially reallocated to accommodatedemand differences across locations.
Firms post prices before the location is filled.
Tradables (standard).
Competitive.
(Large) Adjustment costs to both capital and labor.
Its output is used for exports, investment, and (part of) consumption.
Decreasing returns.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 11/58
Production: two sectors tradables and nontradables.
Nontradables
Monopolistic firms, each one producing a different variety.
Each firm/variety has many locations, and each location has its ownproduction function. Labor can be partially reallocated to accommodatedemand differences across locations.
Firms post prices before the location is filled.
Tradables (standard).
Competitive.
(Large) Adjustment costs to both capital and labor.
Its output is used for exports, investment, and (part of) consumption.
Decreasing returns.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 11/58
Production: two sectors tradables and nontradables.
Nontradables
Monopolistic firms, each one producing a different variety.
Each firm/variety has many locations, and each location has its ownproduction function. Labor can be partially reallocated to accommodatedemand differences across locations.
Firms post prices before the location is filled.
Tradables (standard).
Competitive.
(Large) Adjustment costs to both capital and labor.
Its output is used for exports, investment, and (part of) consumption.
Decreasing returns.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 11/58
Production: two sectors tradables and nontradables.
Nontradables
Monopolistic firms, each one producing a different variety.
Each firm/variety has many locations, and each location has its ownproduction function. Labor can be partially reallocated to accommodatedemand differences across locations.
Firms post prices before the location is filled.
Tradables (standard).
Competitive.
(Large) Adjustment costs to both capital and labor.
Its output is used for exports, investment, and (part of) consumption.
Decreasing returns.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 11/58
Production: two sectors tradables and nontradables.
Nontradables
Monopolistic firms, each one producing a different variety.
Each firm/variety has many locations, and each location has its ownproduction function. Labor can be partially reallocated to accommodatedemand differences across locations.
Firms post prices before the location is filled.
Tradables (standard).
Competitive.
(Large) Adjustment costs to both capital and labor.
Its output is used for exports, investment, and (part of) consumption.
Decreasing returns.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 11/58
Production: two sectors tradables and nontradables.
Nontradables
Monopolistic firms, each one producing a different variety.
Each firm/variety has many locations, and each location has its ownproduction function. Labor can be partially reallocated to accommodatedemand differences across locations.
Firms post prices before the location is filled.
Tradables (standard).
Competitive.
(Large) Adjustment costs to both capital and labor.
Its output is used for exports, investment, and (part of) consumption.
Decreasing returns.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 11/58
Production: two sectors tradables and nontradables.
Nontradables
Monopolistic firms, each one producing a different variety.
Each firm/variety has many locations, and each location has its ownproduction function. Labor can be partially reallocated to accommodatedemand differences across locations.
Firms post prices before the location is filled.
Tradables (standard).
Competitive.
(Large) Adjustment costs to both capital and labor.
Its output is used for exports, investment, and (part of) consumption.
Decreasing returns.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 11/58
Production: two sectors tradables and nontradables.
Nontradables
Monopolistic firms, each one producing a different variety.
Each firm/variety has many locations, and each location has its ownproduction function. Labor can be partially reallocated to accommodatedemand differences across locations.
Firms post prices before the location is filled.
Tradables (standard).
Competitive.
(Large) Adjustment costs to both capital and labor.
Its output is used for exports, investment, and (part of) consumption.
Decreasing returns.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 11/58
Goods markets
Search frictions in the markets for nontradables:
Households look for varieties.
Random search.
Richer people consume and search more.
Cuts in consumption cut search which cuts productivity.
Perfect competition and frictionless markets for tradables.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 12/58
Goods markets
Search frictions in the markets for nontradables:
Households look for varieties.
Random search.
Richer people consume and search more.
Cuts in consumption cut search which cuts productivity.
Perfect competition and frictionless markets for tradables.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 12/58
Goods markets
Search frictions in the markets for nontradables:
Households look for varieties.
Random search.
Richer people consume and search more.
Cuts in consumption cut search which cuts productivity.
Perfect competition and frictionless markets for tradables.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 12/58
Goods markets
Search frictions in the markets for nontradables:
Households look for varieties.
Random search.
Richer people consume and search more.
Cuts in consumption cut search which cuts productivity.
Perfect competition and frictionless markets for tradables.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 12/58
Goods markets
Search frictions in the markets for nontradables:
Households look for varieties.
Random search.
Richer people consume and search more.
Cuts in consumption cut search which cuts productivity.
Perfect competition and frictionless markets for tradables.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 12/58
Goods markets
Search frictions in the markets for nontradables:
Households look for varieties.
Random search.
Richer people consume and search more.
Cuts in consumption cut search which cuts productivity.
Perfect competition and frictionless markets for tradables.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 12/58
Goods markets
Search frictions in the markets for nontradables:
Households look for varieties.
Random search.
Richer people consume and search more.
Cuts in consumption cut search which cuts productivity.
Perfect competition and frictionless markets for tradables.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 12/58
Goods markets
Search frictions in the markets for nontradables:
Households look for varieties.
Random search.
Richer people consume and search more.
Cuts in consumption cut search which cuts productivity.
Perfect competition and frictionless markets for tradables.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 12/58
Labor market
Workers are rationed.
Firms hire as many workers as they wish paying hiring costs. (like avacancy filling probability of 1, with hiring costs).
Employment: N = NN +NT .
Same job finding probability across types: Φe = V1−N .
Wages are determined via the following formula
logw − logw = εw(logY − logY
)It simplifies things.
[Gornemann, Kuester, and Nakajima(2012)].
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 13/58
Labor market
Workers are rationed.
Firms hire as many workers as they wish paying hiring costs. (like avacancy filling probability of 1, with hiring costs).
Employment: N = NN +NT .
Same job finding probability across types: Φe = V1−N .
Wages are determined via the following formula
logw − logw = εw(logY − logY
)It simplifies things.
[Gornemann, Kuester, and Nakajima(2012)].
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 13/58
Labor market
Workers are rationed.
Firms hire as many workers as they wish paying hiring costs. (like avacancy filling probability of 1, with hiring costs).
Employment: N = NN +NT .
Same job finding probability across types: Φe = V1−N .
Wages are determined via the following formula
logw − logw = εw(logY − logY
)It simplifies things.
[Gornemann, Kuester, and Nakajima(2012)].
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 13/58
Labor market
Workers are rationed.
Firms hire as many workers as they wish paying hiring costs. (like avacancy filling probability of 1, with hiring costs).
Employment: N = NN +NT .
Same job finding probability across types: Φe = V1−N .
Wages are determined via the following formula
logw − logw = εw(logY − logY
)It simplifies things.
[Gornemann, Kuester, and Nakajima(2012)].
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 13/58
Labor market
Workers are rationed.
Firms hire as many workers as they wish paying hiring costs. (like avacancy filling probability of 1, with hiring costs).
Employment: N = NN +NT .
Same job finding probability across types: Φe = V1−N .
Wages are determined via the following formula
logw − logw = εw(logY − logY
)It simplifies things.
[Gornemann, Kuester, and Nakajima(2012)].
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 13/58
Labor market
Workers are rationed.
Firms hire as many workers as they wish paying hiring costs. (like avacancy filling probability of 1, with hiring costs).
Employment: N = NN +NT .
Same job finding probability across types: Φe = V1−N .
Wages are determined via the following formula
logw − logw = εw(logY − logY
)It simplifies things.
[Gornemann, Kuester, and Nakajima(2012)].
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 13/58
Assets markets: Financial assets and houses
Total housing H is in fixed supply.
Negative financial assets (b′ < 0) are (undefaultable) mortgages.
Its interest rate 1q
is predetermined at borrowing time,
q(θ, b′) =
1, if b ≥ 0
11+r∗ − ς(θ), if b < 0
Mortgages have to be collateralized by housing: if b < 0 then
q(θ, b) |b| ≤ [1− λ(θ)] ph(S) h
Positive financial assets (b > 0) are shares of a mutual fund.
Its return is stochastic. Possible capital gains and loses.
The return is
R(S, S′, b) =
1 + r(S, S′), if b ≥ 01, if b < 0.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 14/58
Assets markets: Financial assets and houses
Total housing H is in fixed supply.
Negative financial assets (b′ < 0) are (undefaultable) mortgages.
Its interest rate 1q
is predetermined at borrowing time,
q(θ, b′) =
1, if b ≥ 0
11+r∗ − ς(θ), if b < 0
Mortgages have to be collateralized by housing: if b < 0 then
q(θ, b) |b| ≤ [1− λ(θ)] ph(S) h
Positive financial assets (b > 0) are shares of a mutual fund.
Its return is stochastic. Possible capital gains and loses.
The return is
R(S, S′, b) =
1 + r(S, S′), if b ≥ 01, if b < 0.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 14/58
Assets markets: Financial assets and houses
Total housing H is in fixed supply.
Negative financial assets (b′ < 0) are (undefaultable) mortgages.
Its interest rate 1q
is predetermined at borrowing time,
q(θ, b′) =
1, if b ≥ 0
11+r∗ − ς(θ), if b < 0
Mortgages have to be collateralized by housing: if b < 0 then
q(θ, b) |b| ≤ [1− λ(θ)] ph(S) h
Positive financial assets (b > 0) are shares of a mutual fund.
Its return is stochastic. Possible capital gains and loses.
The return is
R(S, S′, b) =
1 + r(S, S′), if b ≥ 01, if b < 0.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 14/58
Assets markets: Financial assets and houses
Total housing H is in fixed supply.
Negative financial assets (b′ < 0) are (undefaultable) mortgages.
Its interest rate 1q
is predetermined at borrowing time,
q(θ, b′) =
1, if b ≥ 0
11+r∗ − ς(θ), if b < 0
Mortgages have to be collateralized by housing: if b < 0 then
q(θ, b) |b| ≤ [1− λ(θ)] ph(S) h
Positive financial assets (b > 0) are shares of a mutual fund.
Its return is stochastic. Possible capital gains and loses.
The return is
R(S, S′, b) =
1 + r(S, S′), if b ≥ 01, if b < 0.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 14/58
Assets markets: Financial assets and houses
Total housing H is in fixed supply.
Negative financial assets (b′ < 0) are (undefaultable) mortgages.
Its interest rate 1q
is predetermined at borrowing time,
q(θ, b′) =
1, if b ≥ 0
11+r∗ − ς(θ), if b < 0
Mortgages have to be collateralized by housing: if b < 0 then
q(θ, b) |b| ≤ [1− λ(θ)] ph(S) h
Positive financial assets (b > 0) are shares of a mutual fund.
Its return is stochastic. Possible capital gains and loses.
The return is
R(S, S′, b) =
1 + r(S, S′), if b ≥ 01, if b < 0.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 14/58
Assets markets: Financial assets and houses
Total housing H is in fixed supply.
Negative financial assets (b′ < 0) are (undefaultable) mortgages.
Its interest rate 1q
is predetermined at borrowing time,
q(θ, b′) =
1, if b ≥ 0
11+r∗ − ς(θ), if b < 0
Mortgages have to be collateralized by housing: if b < 0 then
q(θ, b) |b| ≤ [1− λ(θ)] ph(S) h
Positive financial assets (b > 0) are shares of a mutual fund.
Its return is stochastic. Possible capital gains and loses.
The return is
R(S, S′, b) =
1 + r(S, S′), if b ≥ 01, if b < 0.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 14/58
Assets markets: Financial assets and houses
Total housing H is in fixed supply.
Negative financial assets (b′ < 0) are (undefaultable) mortgages.
Its interest rate 1q
is predetermined at borrowing time,
q(θ, b′) =
1, if b ≥ 0
11+r∗ − ς(θ), if b < 0
Mortgages have to be collateralized by housing: if b < 0 then
q(θ, b) |b| ≤ [1− λ(θ)] ph(S) h
Positive financial assets (b > 0) are shares of a mutual fund.
Its return is stochastic. Possible capital gains and loses.
The return is
R(S, S′, b) =
1 + r(S, S′), if b ≥ 01, if b < 0.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 14/58
Assets markets: Financial assets and houses
Total housing H is in fixed supply.
Negative financial assets (b′ < 0) are (undefaultable) mortgages.
Its interest rate 1q
is predetermined at borrowing time,
q(θ, b′) =
1, if b ≥ 0
11+r∗ − ς(θ), if b < 0
Mortgages have to be collateralized by housing: if b < 0 then
q(θ, b) |b| ≤ [1− λ(θ)] ph(S) h
Positive financial assets (b > 0) are shares of a mutual fund.
Its return is stochastic. Possible capital gains and loses.
The return is
R(S, S′, b) =
1 + r(S, S′), if b ≥ 01, if b < 0.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 14/58
State variables
A household is characterized by ε, e, a.
Let X denote the measure over types x = ε, e, a.
The vector of aggregate state variables is
S = θ,B,KN ,KT , NN , NT , X
Here B is the net foreign asset position. K and N are predeterminedfactor inputs.
Hence either we do Krusell-Smith or the transition after an unforeseenshock. Today, we do the latter.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 15/58
Households’ problem
V (S, ε, e, a) = maxcN,i,cT ,IN ,h,d
u(cA, h, d)+
β∑ε′,e′,θ′
Πθθ,θ′ Π
we′|e,ε(S
′) Πεε,ε′ V [S′, ε′, e′, a′(S′, b, h)]
subject to∫ IN
0
pi(S)cN,i + cT + ph(S)h+ q(θ, b)b = a+ 1e=1w(S)ε+ 1e=0 w BC
a′(S′, b, h) = ph(S′)h+R(S, S′, b)b AA
q(θ, b)b ≥ −λ(θ)ph(S)h FC
IN = d Ψd[Qg(S)] SC
S′ = G(S, θ′) RE
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 16/58
Households’ problem
V (S, ε, e, a) = maxcN,i,cT ,IN ,h,d
u(cA, h, d)+
β∑ε′,e′,θ′
Πθθ,θ′ Π
we′|e,ε(S
′) Πεε,ε′ V [S′, ε′, e′, a′(S′, b, h)]
subject to∫ IN
0
pi(S)cN,i + cT + ph(S)h+ q(θ, b)b = a+ 1e=1w(S)ε+ 1e=0 w BC
a′(S′, b, h) = ph(S′)h+R(S, S′, b)b AA
q(θ, b)b ≥ −λ(θ)ph(S)h FC
IN = d Ψd[Qg(S)] SC
S′ = G(S, θ′) RE
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 16/58
Households’ problem
V (S, ε, e, a) = maxcN,i,cT ,IN ,h,d
u(cA, h, d)+
β∑ε′,e′,θ′
Πθθ,θ′ Π
we′|e,ε(S
′) Πεε,ε′ V [S′, ε′, e′, a′(S′, b, h)]
subject to∫ IN
0
pi(S)cN,i + cT + ph(S)h+ q(θ, b)b = a+ 1e=1w(S)ε+ 1e=0 w BC
a′(S′, b, h) = ph(S′)h+R(S, S′, b)b AA
q(θ, b)b ≥ −λ(θ)ph(S)h FC
IN = d Ψd[Qg(S)] SC
S′ = G(S, θ′) RE
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 16/58
Households’ problem
V (S, ε, e, a) = maxcN,i,cT ,IN ,h,d
u(cA, h, d)+
β∑ε′,e′,θ′
Πθθ,θ′ Π
we′|e,ε(S
′) Πεε,ε′ V [S′, ε′, e′, a′(S′, b, h)]
subject to∫ IN
0
pi(S)cN,i + cT + ph(S)h+ q(θ, b)b = a+ 1e=1w(S)ε+ 1e=0 w BC
a′(S′, b, h) = ph(S′)h+R(S, S′, b)b AA
q(θ, b)b ≥ −λ(θ)ph(S)h FC
IN = d Ψd[Qg(S)] SC
S′ = G(S, θ′) RE
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 16/58
Households’ problem
V (S, ε, e, a) = maxcN,i,cT ,IN ,h,d
u(cA, h, d)+
β∑ε′,e′,θ′
Πθθ,θ′ Π
we′|e,ε(S
′) Πεε,ε′ V [S′, ε′, e′, a′(S′, b, h)]
subject to∫ IN
0
pi(S)cN,i + cT + ph(S)h+ q(θ, b)b = a+ 1e=1w(S)ε+ 1e=0 w BC
a′(S′, b, h) = ph(S′)h+R(S, S′, b)b AA
q(θ, b)b ≥ −λ(θ)ph(S)h FC
IN = d Ψd[Qg(S)] SC
S′ = G(S, θ′) RE
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 16/58
Households’ problem
V (S, ε, e, a) = maxcN,i,cT ,IN ,h,d
u(cA, h, d)+
β∑ε′,e′,θ′
Πθθ,θ′ Π
we′|e,ε(S
′) Πεε,ε′ V [S′, ε′, e′, a′(S′, b, h)]
subject to∫ IN
0
pi(S)cN,i + cT + ph(S)h+ q(θ, b)b = a+ 1e=1w(S)ε+ 1e=0 w BC
a′(S′, b, h) = ph(S′)h+R(S, S′, b)b AA
q(θ, b)b ≥ −λ(θ)ph(S)h FC
IN = d Ψd[Qg(S)] SC
S′ = G(S, θ′) REHuo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 16/58
Nontradable firms’ problem
At each location, the production function is
FN (k, `1, `2) = zNkα0`α1
1 `α22
k and `1 are pre-installed. `2 is variable to meet different demands.
The demand function is given by c(pi, S, x) =[pip(S)
] ρ1−ρ
cN (S, x)
When a shopper wants to buy c units of goods at a location, theamount of variable labor `2 needed to produce c is
f `(c, k, `1) =(c−1zNk
α0`α11
)− 1α2
At the posted price pi, the total variable labor needed is
`2 ≥ Ψf [Qg(S)]
∫f `[c(pi, S, x), k, `1]
d(x, S)
D(S)
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 17/58
Nontradable firms’ problem
ΩN (S, k, n) = maxi,v,pi`1,`2
Ψf [Qg(S)]pi
∫c(pi, S, ε, e, a) dx−w(S)`− i− κv
+∑θ′
Πθθ,θ′
ΩN (S′, k′, n′)
1 + r∗
subject to
`2 ≥ Ψf [Qg(S)]
∫f `[c(pi, S, x), k, `1]
d(x, S)
D(S)DC
`1 + `2 = nε(S) SL
k′ = (1− δk)k + i− φN (k, i) LMK
n′ = [1− δn(S)]n+ v LML
S′ = G(S, θ′) RE
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 18/58
Tradable firms’ problem
ΩT (S, k, n) = maxi,v
FT (k, `)− w(S)`− i− κv − φT,n(n′, n)
+∑θ′
Πθθ,θ′
ΩT (S′, k′, n′)
1 + r∗
subject to
k′ = (1− δk)k + i− φT,k(k, i)
` = nε(S)
n′ = [1− δn(S)]n+ v
S′ = G(S).
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 19/58
Mutual fund
Financial wealth in the economy is
L+ =
∫b>0
b(S, ε, e, a) dx
Mortgages in the economy are
L− =
∫b<0
−b(S, ε, e, a) dx
Net foreign asset position of the country (the mutual fund owns allfirms)
B = L+ −(
ΩN (S)− πN (S) + ΩT (S)− πT (S) +1
1 + r∗L−
)The realized rate of return is
1 + r(S, S′) =ΩN (S′) + ΩT (S′) + (1 + r∗)B + L−
L+
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 20/58
EquilibriumAn equilibrium is a set of decision rules and values for households, firms’values and decision rules, and a set aggregate variables of aggregatestates, such that:
Households’ and firms’ policy functions and value functions solve thecorresponding program problems.
Aggregate searching consistence
D(S) =
∫d(S, ε, e, a) dx,
Nontradable prices satisfies
p(S) = pi(S,KN , NN ) dx,
Housing market clears ∫h(S, ε, e, a) dx = H.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 21/58
Equilibrium
Average separation probability and labor force quality
δn(S) =
∑ε δn(ε)n(ε)
N, ε(S) =
∑ε εn(ε)
N
Rate of return to the mutual fund satisfies
1 + r(S, S′) =ΩN (S′) + ΩT (S′) + (1 + r∗)B +
∫b<0
b(S, x)∫b>0
b(S, x)
Wage satisfies
logw(S)− logw = εw(logY (S)− logY
)The law of motion G(S) is consistent with households’ decisions andemployment dynamics.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 22/58
Mapping the Model to Data
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 23/58
Functional forms
Preferences
u(cA, h, d) =1
1− σc
(cA − ξd
d1+γ
1 + γ
)1−σc+ v(h)
where there is an Armington aggregator for consumption
cA =
[ω (cN IρN )
η−1η + (1− ω)c
η−1η
T
] ηη−1
and houses are inferior goods as a proxy for segmentation of housingmarkets
v(h) =
ξh
1−σ1h
(h+ h1)1−σ1
h , if h < h
ξh1−σ2
h(h+ h2)
1−σ2h , if h ≥ h.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 24/58
1 2 3 4 5−0.5
−0.45
−0.4
−0.35
−0.3
−0.25
−0.2
−0.15
−0.1
Housing function with less curvature
Housing function with more curvature
0 0.5 1 1.5 20
0.5
1
1.5
2
2.5
3
3.5
Housing
Consumption
Housing utility function Engel Curve: consumption vs housing
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 25/58
Functional forms
Production function
FN (k, `1, `2) = zN kα0 `α11 `α2
2 , FT (k, `) = zT kθ0`θ1
Capital adjustment cost in the nontradable goods sector
φN (i, k) =εN
2
(i
k− δk
)2
k
Capital and employment adjustment cost in the tradable goods sector
φT,k(i, k) =εT,k
2
(i
k− δk
)2
k, φT,n(n′, n) =εT,n
2
(n′
n− 1
)2
n
Matching technology
M(D,T ) = νDµT 1−µ
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 26/58
Exogenously determined parameters
A period is half a quarter.
Parameter Value
Risk aversion for consumption, σc 2.0
Risk aversion for housing, σ1h 2.0
Risk aversion for housing, σ2h 10.0
Curvature of shopping, γ 1.5
Elasticity of substitution bw tradables and nontradables, η 0.80
Cutoff value for housing utility, h 1.4
Price markup, ρ 1.1
Loan to value ratio, λ 0.75
Interest rate for international bonds, r∗ 4%
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 27/58
Endogenously determined parameters: aggregate
Target Value Parameter Value
Wealth to output ratio 4.70 β 0.98
Housing value to output ratio 1.67 ξh 0.95
Debt to output ratio 0.75 ε4 30.77
Share of tradables 0.30 ω 0.95
Occupancy Rate 0.81 ν 0.81
Capital to output ratio 2.00 δk 0.01
Labor Share in nontradables 0.64 α0 0.27
α1 = α2 —— α1 0.36
Labor Share in tradables 0.66 θ1 0.66
1.4θ0 + θ1 = 1 —— θ0 0.23
Vacancy cost to output ratio 0.02 κ 0.42
Home production to lowest earning ratio 0.50 w 0.07
Units ParametersOutput 1 zN 0.93
Relative price of nontradables 1 zT 0.48
Market tightness in goods markets 1 ξd 0.03
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 28/58
Endogenously determined parameters: cross-section Lorenz
Target Value Parameter Value
Job duration for type 1 1.5 year δ1n 0.083
Job duration for type 3 5 year δ3n 0.025
Job duration for type 4 5 year δ4n 0.025
Unemployment rate 6% δ2n 0.048
Wealth Gini index 0.82 Πε1,4 0.0007
Earnings Gini index 0.64 Πε4,1 0.0156
Earning autocorrelation 0.91 Πε1,1 0.9660
Earning stdev 0.20 Πε2,2 0.9774
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 29/58
Lorenz Curve Return
Data Model
0 0.2 0.4 0.6 0.8 1
−0.2
0
0.2
0.4
0.6
0.8
1
0 0.2 0.4 0.6 0.8 1
−0.2
0
0.2
0.4
0.6
0.8
1
Net worthHousing assetFinancial asset
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 30/58
Experiments: once and for all set of surprises in theenvironment
1 Over the next 4.5 months the down payment changes from 25% to27.5% to 30% to 32.5% (to avoid having households with emptychoice set).
2 The borrowing interest rate’s surcharge goes from zero to .3%.
3 Both at the same time.
4 The inverse process. Credit expansion.
• All of these with fixed and flexible wages.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 31/58
Experiments: once and for all set of surprises in theenvironment
1 Over the next 4.5 months the down payment changes from 25% to27.5% to 30% to 32.5% (to avoid having households with emptychoice set).
2 The borrowing interest rate’s surcharge goes from zero to .3%.
3 Both at the same time.
4 The inverse process. Credit expansion.
• All of these with fixed and flexible wages.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 31/58
Experiments: once and for all set of surprises in theenvironment
1 Over the next 4.5 months the down payment changes from 25% to27.5% to 30% to 32.5% (to avoid having households with emptychoice set).
2 The borrowing interest rate’s surcharge goes from zero to .3%.
3 Both at the same time.
4 The inverse process. Credit expansion.
• All of these with fixed and flexible wages.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 31/58
Experiments: once and for all set of surprises in theenvironment
1 Over the next 4.5 months the down payment changes from 25% to27.5% to 30% to 32.5% (to avoid having households with emptychoice set).
2 The borrowing interest rate’s surcharge goes from zero to .3%.
3 Both at the same time.
4 The inverse process. Credit expansion.
• All of these with fixed and flexible wages.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 31/58
Experiments: once and for all set of surprises in theenvironment
1 Over the next 4.5 months the down payment changes from 25% to27.5% to 30% to 32.5% (to avoid having households with emptychoice set).
2 The borrowing interest rate’s surcharge goes from zero to .3%.
3 Both at the same time.
4 The inverse process. Credit expansion.
• All of these with fixed and flexible wages.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 31/58
Long Run Properties
• Typically like in all [Aiyagari(1994)] - [Bewley(1986)] -[Huggett(1993)] - [Imrohoroglu(1989)] type models, in the long runoutput and wealth end up being higher.
• But in our economies the transition is associated to a recession.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 32/58
Long Run Properties
• Typically like in all [Aiyagari(1994)] - [Bewley(1986)] -[Huggett(1993)] - [Imrohoroglu(1989)] type models, in the long runoutput and wealth end up being higher.
• But in our economies the transition is associated to a recession.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 32/58
Experiment : gradual worsening of both λ and borrowing cost
0 1 2 3 4 5 6 7 8 9 10−5
−4
−3
−2
−1
0
1
Real output
0 1 2 3 4 5 6 7 8 9 105
6
7
8
9
10
11
12
Unemployment
0 1 2 3 4 5 6 7 8 9 10−8
−7
−6
−5
−4
−3
−2
−1
0
Consumption
0 1 2 3 4 5 6 7 8 9 10−40
−35
−30
−25
−20
−15
−10
−5
0
5
Investment
Flexible wage Fixed wage
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 33/58
Experiment: gradual worsening of both λ and borrowing cost
0 1 2 3 4 5 6 7 8 9 10−7
−6
−5
−4
−3
−2
−1
0
Wealth
0 1 2 3 4 5 6 7 8 9 10−25
−20
−15
−10
−5
0
Debt
0 1 2 3 4 5 6 7 8 9 10−20
−15
−10
−5
0
Housing price
Flexible wage Fixed wage
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 34/58
Experiment: gradual worsening of both λ and borrowing cost
0 1 2 3 4 5 6 7 8 9 10−2
−1.5
−1
−0.5
0
0.5
TFP with total hours
0 1 2 3 4 5 6 7 8 9 10−2
−1.5
−1
−0.5
0
0.5
1
1.5
2
Labor Productivity
0 1 2 3 4 5 6 7 8 9 10−0.5
0
0.5
1
1.5
2
2.5
Labor quality
0 1 2 3 4 5 6 7 8 9 10−2
−1.5
−1
−0.5
0
0.5
TFP with total labor inputs
Flexible wage Fixed wage
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 35/58
Experiment : gradual worsening of both λ and borrowing cost
Change of labor quality in both pools when wages are flexible
0 1 2 3 4 5 6 7 8 9 100
0.5
1
1.5
2
2.5
EmployedUnemployed
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 36/58
Experiment: gradual improvement of λ from 0.75 to 0.825
0 1 2 3 4 5 6 7 8 9 10−0.2
0
0.2
0.4
0.6
0.8
1
1.2
Real output
0 1 2 3 4 5 6 7 8 9 10
5
5.2
5.4
5.6
5.8
6
6.2
6.4
Unemployment
0 1 2 3 4 5 6 7 8 9 10−0.5
0
0.5
1
1.5
2
2.5
Consumption
0 1 2 3 4 5 6 7 8 9 10−2
0
2
4
6
8
10
12
14
Investment
Flexible wage Fixed wage
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 37/58
Experiment: gradual improvement of λ from 0.75 to 0.825
0 1 2 3 4 5 6 7 8 9 10−0.5
0
0.5
1
1.5
2
2.5
3
Wealth
0 1 2 3 4 5 6 7 8 9 100
2
4
6
8
10
12
Debt
0 1 2 3 4 5 6 7 8 9 100
1
2
3
4
5
6
7
8
9
Housing price
Flexible wage Fixed wageHuo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 38/58
Experiment: gradual improvement of λ from 0.75 to 0.825
0 1 2 3 4 5 6 7 8 9 10−0.1
0
0.1
0.2
0.3
0.4
0.5
0.6
TFP with total hours
0 1 2 3 4 5 6 7 8 9 10−0.1
0
0.1
0.2
0.3
0.4
0.5
0.6
Labor Productivity
0 1 2 3 4 5 6 7 8 9 10−0.4
−0.3
−0.2
−0.1
0
0.1
Labor quality
0 1 2 3 4 5 6 7 8 9 10−0.1
0
0.1
0.2
0.3
0.4
0.5
0.6
TFP with total labor inputs
Flexible wage Fixed wage
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 39/58
Experiment 5: More flexible wage schedule
0 1 2 3 4 5 6 7 8 9 10−3
−2.5
−2
−1.5
−1
−0.5
0
0.5
Real output
0 1 2 3 4 5 6 7 8 9 105.5
6
6.5
7
7.5
8
8.5
9
Unemployment
0 1 2 3 4 5 6 7 8 9 10−5
−4
−3
−2
−1
0
1
Consumption
0 1 2 3 4 5 6 7 8 9 10−25
−20
−15
−10
−5
0
5
Investment
Flexible wage εw = 0.45 Flexible wage εw = 1
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 40/58
Experiment 5: More flexible wage schedule
0 1 2 3 4 5 6 7 8 9 10−5
−4
−3
−2
−1
0
1
Wealth
0 1 2 3 4 5 6 7 8 9 10−12
−10
−8
−6
−4
−2
0
Debt
0 1 2 3 4 5 6 7 8 9 10−14
−12
−10
−8
−6
−4
−2
0
Housing price
Flexible wage εw = 0.45 Flexible wage εw = 1
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 41/58
Experiment 5: More flexible wage schedule
0 1 2 3 4 5 6 7 8 9 10−1
−0.8
−0.6
−0.4
−0.2
0
0.2
0.4
TFP with total hours
0 1 2 3 4 5 6 7 8 9 10−1
−0.5
0
0.5
Labor Productivity
0 1 2 3 4 5 6 7 8 9 10−0.2
0
0.2
0.4
0.6
0.8
1
1.2
Labor quality
0 1 2 3 4 5 6 7 8 9 10−1.2
−1
−0.8
−0.6
−0.4
−0.2
0
0.2
TFP with total labor inputs
Flexible wage εw = 0.45 Flexible wage εw = 1
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 42/58
Results: a boom and bust cycle
0 10 20 30 40 50 60 70 800.67
0.68
0.69
0.7
0.71
0.72
0.73
0.74
0.75
0.76
Loan to value ratio λ
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 43/58
Results: a boom and bust cycle
0 1 2 3 4 5 6 7 8 9 10−3
−2.5
−2
−1.5
−1
−0.5
0
0.5
1
1.5
Real output
0 1 2 3 4 5 6 7 8 9 104.5
5
5.5
6
6.5
7
7.5
8
8.5
Unemployment
0 1 2 3 4 5 6 7 8 9 10−4
−3
−2
−1
0
1
2
3
Consumption
0 1 2 3 4 5 6 7 8 9 10−25
−20
−15
−10
−5
0
5
10
15
Investment
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 44/58
Results: a boom and bust cycle
0 1 2 3 4 5 6 7 8 9 10−4
−3
−2
−1
0
1
2
3
4
Wealth
0 1 2 3 4 5 6 7 8 9 100
1
2
3
4
5
6
7
8
9
10
Debt
0 1 2 3 4 5 6 7 8 9 10−8
−6
−4
−2
0
2
4
6
8
10
12
Housing price
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 45/58
Results: a boom and bust cycle
0 1 2 3 4 5 6 7 8 9 10−1
−0.5
0
0.5
TFP with total hours
0 1 2 3 4 5 6 7 8 9 10−0.8
−0.6
−0.4
−0.2
0
0.2
0.4
0.6
0.8
1
Labor Productivity
0 1 2 3 4 5 6 7 8 9 10−0.4
−0.2
0
0.2
0.4
0.6
0.8
1
1.2
Labor quality
0 1 2 3 4 5 6 7 8 9 10−1
−0.8
−0.6
−0.4
−0.2
0
0.2
0.4
0.6
TFP with total labor inputs
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 46/58
Conclusions
We have a recession generated purely by increased difficulties toborrow on the part of households
The recession comes together with
TFP loses
Drop in Housing prices (movements too sharp because of lack of housefrictions)
Drop in Stock Market
The literature is trying hard to get this ([Midrigan and Philippon(2011)],
[Guerrieri and Lorenzoni(2009)]) with limited success.
Still ways to go:
Foreclosures; slow housing frictions; Long term Mortgages.
Slow expanding export industries.
Model of banking cycles.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 47/58
Conclusions
We have a recession generated purely by increased difficulties toborrow on the part of households
The recession comes together with
TFP loses
Drop in Housing prices (movements too sharp because of lack of housefrictions)
Drop in Stock Market
The literature is trying hard to get this ([Midrigan and Philippon(2011)],
[Guerrieri and Lorenzoni(2009)]) with limited success.
Still ways to go:
Foreclosures; slow housing frictions; Long term Mortgages.
Slow expanding export industries.
Model of banking cycles.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 47/58
Conclusions
We have a recession generated purely by increased difficulties toborrow on the part of households
The recession comes together with
TFP loses
Drop in Housing prices (movements too sharp because of lack of housefrictions)
Drop in Stock Market
The literature is trying hard to get this ([Midrigan and Philippon(2011)],
[Guerrieri and Lorenzoni(2009)]) with limited success.
Still ways to go:
Foreclosures; slow housing frictions; Long term Mortgages.
Slow expanding export industries.
Model of banking cycles.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 47/58
Conclusions
We have a recession generated purely by increased difficulties toborrow on the part of households
The recession comes together with
TFP loses
Drop in Housing prices (movements too sharp because of lack of housefrictions)
Drop in Stock Market
The literature is trying hard to get this ([Midrigan and Philippon(2011)],
[Guerrieri and Lorenzoni(2009)]) with limited success.
Still ways to go:
Foreclosures; slow housing frictions; Long term Mortgages.
Slow expanding export industries.
Model of banking cycles.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 47/58
Conclusions
We have a recession generated purely by increased difficulties toborrow on the part of households
The recession comes together with
TFP loses
Drop in Housing prices (movements too sharp because of lack of housefrictions)
Drop in Stock Market
The literature is trying hard to get this ([Midrigan and Philippon(2011)],
[Guerrieri and Lorenzoni(2009)]) with limited success.
Still ways to go:
Foreclosures; slow housing frictions; Long term Mortgages.
Slow expanding export industries.
Model of banking cycles.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 47/58
Conclusions
We have a recession generated purely by increased difficulties toborrow on the part of households
The recession comes together with
TFP loses
Drop in Housing prices (movements too sharp because of lack of housefrictions)
Drop in Stock Market
The literature is trying hard to get this ([Midrigan and Philippon(2011)],
[Guerrieri and Lorenzoni(2009)]) with limited success.
Still ways to go:
Foreclosures; slow housing frictions; Long term Mortgages.
Slow expanding export industries.
Model of banking cycles.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 47/58
Conclusions
We have a recession generated purely by increased difficulties toborrow on the part of households
The recession comes together with
TFP loses
Drop in Housing prices (movements too sharp because of lack of housefrictions)
Drop in Stock Market
The literature is trying hard to get this ([Midrigan and Philippon(2011)],
[Guerrieri and Lorenzoni(2009)]) with limited success.
Still ways to go:
Foreclosures; slow housing frictions; Long term Mortgages.
Slow expanding export industries.
Model of banking cycles.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 47/58
Conclusions
We have a recession generated purely by increased difficulties toborrow on the part of households
The recession comes together with
TFP loses
Drop in Housing prices (movements too sharp because of lack of housefrictions)
Drop in Stock Market
The literature is trying hard to get this ([Midrigan and Philippon(2011)],
[Guerrieri and Lorenzoni(2009)]) with limited success.
Still ways to go:
Foreclosures; slow housing frictions; Long term Mortgages.
Slow expanding export industries.
Model of banking cycles.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 47/58
Conclusions
We have a recession generated purely by increased difficulties toborrow on the part of households
The recession comes together with
TFP loses
Drop in Housing prices (movements too sharp because of lack of housefrictions)
Drop in Stock Market
The literature is trying hard to get this ([Midrigan and Philippon(2011)],
[Guerrieri and Lorenzoni(2009)]) with limited success.
Still ways to go:
Foreclosures; slow housing frictions; Long term Mortgages.
Slow expanding export industries.
Model of banking cycles.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 47/58
Conclusions
We have a recession generated purely by increased difficulties toborrow on the part of households
The recession comes together with
TFP loses
Drop in Housing prices (movements too sharp because of lack of housefrictions)
Drop in Stock Market
The literature is trying hard to get this ([Midrigan and Philippon(2011)],
[Guerrieri and Lorenzoni(2009)]) with limited success.
Still ways to go:
Foreclosures; slow housing frictions; Long term Mortgages.
Slow expanding export industries.
Model of banking cycles.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 47/58
Conclusions
We have a recession generated purely by increased difficulties toborrow on the part of households
The recession comes together with
TFP loses
Drop in Housing prices (movements too sharp because of lack of housefrictions)
Drop in Stock Market
The literature is trying hard to get this ([Midrigan and Philippon(2011)],
[Guerrieri and Lorenzoni(2009)]) with limited success.
Still ways to go:
Foreclosures; slow housing frictions; Long term Mortgages.
Slow expanding export industries.
Model of banking cycles.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 47/58
ReferencesAiyagari, S. Rao. 1994.
“Uninsured Idiosyncratic Risk and Aggregate Saving.”Quarterly Journal of Economics 109:659–684.
Bai, Yan, Jose-Vıctor Rıos-Rull, and Kjetil Storesletten. 2011.
“Demand Shocks as Productivity Shocks.”Working paper, Federal Reserve Bank of Minneapolis.
Bewley, Truman. 1986.
“Stationary Monetary Equilibrium with a Continuum of Independently Fluctuating Consumers.”In Contributions to Mathematical Economics in Honor of Gerard Debreu, edited by Werner Hildenbrand and Andreu Mas-Colell.Amsterdam: North Holland.
Fang, Lei and Jun Nie. 2013.
“Education, Human Capital and U.S. Labor Market Dynamics.”Presented at MidWest Macro Meetings.
Gornemann, Nils, Keith Kuester, and Makoto Nakajima. 2012.
“Monetary Policy with Heterogeneous Agents.”Mimeo, FRB Philadelphia.
Guerrieri, Veronica and Guido Lorenzoni. 2009.
“Liquidity and Trading Dynamics.”Econometrica 77 (6):1751–1790.
Huggett, Mark. 1993.
“The Risk-Free Rate in Heterogeneous-Agent, Incomplete-Insurance Economies.”Journal of Economic Dynamics and Control 17:953–970.
Huo, Zhen and Jose-Vıctor Rıos-Rull. 2013a.
“Balance Sheet Recessions.”Working Paper, Federal Reserve Bank of Minneapolis.
———. 2013b.
“Paradox of Thrift Recessions.”Working Paper, Federal Reserve Bank of Minneapolis.
Imrohoroglu, A. 1989.
“Cost of Business Cycles with Indivisibilities and Liquidity Constraints.”Journal of Political Economy 97:1364–1383.
Midrigan, V. and T. Philippon. 2011.
“Household Leverage and the Recession.”Working Paper FIN-11-038, New York University.
Petrosky-Nadeau, Nicolas and Etienne Wasmer. 2011.
“Macroeconomic Dynamics in a Model of Goods, Labor and Credit Market Frictions.”Manuscript, Carnegie Mellon University.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 48/58
Facts on the last recession: IV Return
2004 2006 2008 2010 2012
0.15
0.16
0.17
0.18
0.19
0.2
0.21
2004 2006 2008 2010 20120.4
0.45
0.5
0.55
0.6
0.65
Debt to wealth Debt to housing value
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 49/58
Facts: Continued Return
1980 1985 1990 1995 2000 2005 201040
50
60
70
80
90
100
110
Real output
1980 1985 1990 1995 2000 2005 20100
20
40
60
80
100
120
1980 1985 1990 1995 2000 2005 20100
20
40
60
80
100
120
Consumption Investment
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 50/58
Facts: Continued Return
1980 1985 1990 1995 2000 2005 201060
65
70
75
80
85
90
95
100
1980 1985 1990 1995 2000 2005 201050
60
70
80
90
100
110
TFP with total hours Labor productivity
1980 1985 1990 1995 2000 2005 201086
88
90
92
94
96
98
100
102
104
1980 1985 1990 1995 2000 2005 201065
70
75
80
85
90
95
100
105
Labor quality TFP with total labor inputs
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 51/58
Facts: Continued
‘Real output’, ‘consumption’ and ‘investment’ are ‘Gross DomesticProduct’, ‘Personal Consumption Expenditures’ and ‘Gross PrivateDomestic Investment’ from BEA.
‘TFP with total hours’ is calculated by Fernald (2012).
‘Labor productivity’ is total output divided by total hours.
‘Labor quality’ follows Aaronson and Sullivan (2001), which areextended by Bart Hobijn and Joyce Kwok (FRBSF).
‘TFP with total labor inputs’ is total output divided by the product oftotal hours and labor quality.
These variables shown at the beginning are deviations from their lineartrends. These variables shown in the appendix have their values in2007 q4 normalized to 100.
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 52/58
Experiment 1: gradual change of λ from 0.75 to 0.675+
0 1 2 3 4 5 6 7 8 9 10−3
−2.5
−2
−1.5
−1
−0.5
0
0.5
Real output
0 1 2 3 4 5 6 7 8 9 105.5
6
6.5
7
7.5
8
8.5
9
9.5
10
Unemployment
0 1 2 3 4 5 6 7 8 9 10−5
−4
−3
−2
−1
0
1
Consumption
0 1 2 3 4 5 6 7 8 9 10−25
−20
−15
−10
−5
0
5
Investment
Flexible wage Fixed wageHuo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 53/58
Experiment 1: gradual change of λ from 0.75 to 0.675
0 1 2 3 4 5 6 7 8 9 10−5
−4
−3
−2
−1
0
1
Wealth
0 1 2 3 4 5 6 7 8 9 10−12
−10
−8
−6
−4
−2
0
Debt
0 1 2 3 4 5 6 7 8 9 10−14
−12
−10
−8
−6
−4
−2
0
Housing price
Flexible wage Fixed wage
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 54/58
Experiment 1: gradual change of λ from 0.75 to 0.675
0 1 2 3 4 5 6 7 8 9 10−1.2
−1
−0.8
−0.6
−0.4
−0.2
0
0.2
TFP with total hours
0 1 2 3 4 5 6 7 8 9 10−1.5
−1
−0.5
0
0.5
1
Labor Productivity
0 1 2 3 4 5 6 7 8 9 10−0.2
0
0.2
0.4
0.6
0.8
1
1.2
1.4
Labor quality
0 1 2 3 4 5 6 7 8 9 10−1.4
−1.2
−1
−0.8
−0.6
−0.4
−0.2
0
0.2
TFP with total labor inputs
Flexible wage Fixed wage
Huo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 55/58
Experiment 2: gradual change of borrowing cost from 0 to0.3%
0 1 2 3 4 5 6 7 8 9 10−2
−1.5
−1
−0.5
0
Real output
0 1 2 3 4 5 6 7 8 9 105.5
6
6.5
7
7.5
8
8.5
Unemployment
0 1 2 3 4 5 6 7 8 9 10−3
−2.5
−2
−1.5
−1
−0.5
0
Consumption
0 1 2 3 4 5 6 7 8 9 10−16
−14
−12
−10
−8
−6
−4
−2
0
2
Investment
Flexible wage Fixed wageHuo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 56/58
Experiment 2: gradual change of borrowing cost from 0 to0.3%
0 1 2 3 4 5 6 7 8 9 10−3
−2.5
−2
−1.5
−1
−0.5
0
Wealth
0 1 2 3 4 5 6 7 8 9 10−6
−5
−4
−3
−2
−1
0
Debt
0 1 2 3 4 5 6 7 8 9 10−8
−7
−6
−5
−4
−3
−2
−1
0
Housing price
Flexible wage Fixed wageHuo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 57/58
Experiment 2: gradual change of borrowing cost from 0 to0.3%
0 1 2 3 4 5 6 7 8 9 10−0.5
−0.4
−0.3
−0.2
−0.1
0
0.1
0.2
TFP with total hours
0 1 2 3 4 5 6 7 8 9 10−0.6
−0.4
−0.2
0
0.2
0.4
0.6
0.8
Labor Productivity
0 1 2 3 4 5 6 7 8 9 100
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Labor quality
0 1 2 3 4 5 6 7 8 9 10−0.7
−0.6
−0.5
−0.4
−0.3
−0.2
−0.1
0
TFP with total labor inputs
Flexible wage Fixed wageHuo & Rıos-Rull, UMN, Mpls Fed, CAERP Financial Frictions, Asset Prices, & the Great Recession NYU, Th Sept 18 2014 58/58