recent developments in monetary economics lawrence christiano northwestern university

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Page 1: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Recent Developments in Monetary Economics

Lawrence ChristianoNorthwestern University

Page 2: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Overview• A new consensus has emerged about the rough outlines of a model for

the analysis of monetary policy.– Consensus influenced heavily by estimated impulse response functions from

Structural Vector Autoregression (SVARs)

• Describe empirical SVAR results.

• Construction of the consensus models based on results from SVARs.– Christiano, Eichenbaum and Evans JPE (2005)– Smets and Wouters, AER (2007)

• Further developments of the consensus model– Labor market– Financial frictions– Open economy

• Monetary policy analysis: how policy should respond to interest rate spreads, relationship between monetary policy asset market volatility.

Page 3: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Vector Autoregressions• Proposed by Chris Sims in 1970s, 1980s

• Major subsequent contributions by others (Bernanke, Blanchard-Watson, Blanchard-Quah)

• Useful Way to Organize Data– VARs serve as a ‘Battleground’ between alternative economic theories– VARs can be used to quantitatively construct a particular model

• Question that can (in principle) be addressed by VAR:– ‘How does the economy respond to a particular shock?’– Current consensus model heavily guided by answers to this question

• VARs can’t actually address such a question– Identification problem– Need extra assumptions….Structural VAR (SVAR).

Page 4: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Outline of SVAR discussion• What is a VAR?

• The Identification Problem

• Identification restrictions

• Results

• Historical Decompositions of Data

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Shocks and Identification Assumptions

• Monetary Policy Shock

• Neutral Technology Shock

• Capital-Embodied Shock to Technology

Page 9: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Identifying Monetary Policy Shocks• One strategy: estimate parameters of Fed’s feedback

rule– Rule that relates Fed’s actions to state of the economy:

Rt = f(Wt) + etR

– f linear– et

R orthogonal to Fed information, Wt

– Wt contains current prices and wages, aggregate quantities, lagged stuff

– etR estimated by OLS regression

– Regress Xt on etR, et-1

R, et-2R ,…

Policy shockFed information set

Page 10: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Identification of Technology Shocks (Blanchard-Quah, Fisher, JPE 2007)

• There are two types of technology shocks: neutral and capital embodied

• These are only shocks that can affect labor productivity in the long run.

• The only shock which also has a long run effect on the relative price of capital is a capital embodied technology shock (Vt).

X t Z tFK t ,L t

K t 1 1 K t V tI t

Page 11: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

VAR estimation with the following data:

The data have been transformed to ensure stationaritySample period: 1959Q1-2007Q1

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Whether per capita hoursare stationaryhas stimulatedmuch debate

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Inflation a little non-stationary

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US tradeBalanceissue

Sort ofstationary

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Note how high ratestend to precede recessions

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Moves withInterestrate

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• Results…..

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Lots of persistence!

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Inflation very slow to respond!

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Lots of hump-shapes

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Interesting Properties of Monetary Policy Shocks• Plenty of endogenous persistence:

– money growth and interest rate over in 1 year, but other variables keep going….

• Inflation slow to get off the ground: peaks in roughly two years

– It has been conjectured that explaining this is a major challenge for economics– Chari-Kehoe-McGrattan (Econometrica), Mankiw.– Kills models in which movements in P are key to monetary transmission

mechanism (Lucas misperception model, pure sticky wage model)– Has been at the heart of the recent emphasis on sticky prices.

• Output, consumption, investment, hours worked and capacity utilization hump-shaped

• Velocity comoves with the interest rate

Page 24: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 25: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Confidence intervals are wide, as you’d expect giventhe nature of the questionbeing asked

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Output shows random walkresponseHours responds positively

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Inflation exhibits a quickresponse. Raises a potentialchallenge, and draws attentionto alternative approaches.

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Observations on Neutral Shock• Generally, results are ‘noisy’, as one expects.

– Interest, money growth, velocity responses not pinned down.

• Interestingly, inflation response is immediate and precisely estimated.

• Does this raise a question about the conventional interpretation of the response of inflation to a monetary shock?

• Alternative possibility: information confusion stories.– A variant of recent work by Rhys Mendes that builds on Guido

Lorenzoni’s work.

Page 29: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 30: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Warning: confidence intervalsare wide! Econometric modelestimation will take this into account.

Page 31: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Historical Decomposition of Data into Shocks

• We can ask:– What would have happened if only monetary

policy shocks had driven the data?

– We can ask this about other identified shocks, or about combinations of shocks

– We find that the three shocks together account for a large part of fluctuations

Page 32: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Dark line: detrended actual GDP

Thin line: what GDP would have been if there had only been one type of technology shock, the type thataffects only the capital goods industry

These shocks have some effect, but not terribly important

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Type of technology shock that affectsall industries

This has very large impact on broad trends in thedata, and a smaller impact on business cycles. Has big impact on trend in data, and 2000 boom-bust

Page 34: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Monetary policy shocks have a big impact on 1980 ‘Volcker recession’

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All three shocks together account for large part of business cycle

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Variance Decomposition

Variable BP(8,32)

Output1886

Money Growth1123

Inflation1733

Fed Funds1652

Capacity Util.1651

Avg. Hours1776

Real Wage1644

Consumption2189

Investment1669

Velocity1629

Price of investment goods1611

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• Now, to the construction of a monetary equilibrium model, based on the previous impulse response functions….

• Based on – Christiano-Eichenbaum-Evans JPE(2005)– Altig-Christiano-Eichenbaum-Linde

Page 40: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Objectives• Constructing a standard (‘consensus’) DSGE Model

– Model features. – Estimation of model using impulse responses from SVAR’s.

• Determine if there is a conflict regarding price behavior between micro and macro data.

– Macro Evidence:• Inflation appears sluggish• Inflation responds slowly to monetary shock

– Micro Evidence:• Bils-Klenow, Nakamura-Steinsson report evidence on frequency of price

change at micro level: 5-11 months.

Page 41: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Description of Model

• Timing Assumptions

• Firms

• Households

• Monetary Authority

• Goods Market Clearing and Equilibrium

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Timing• Technology Shocks Realized.

• Agents Make Price/Wage Setting, Consumption, Investment, Capital Utilization Decisions.

• Monetary Policy Shock Realized.

• Household Money Demand Decision Made.

• Production, Employment, Purchases Occur, and Markets Clear.

• • Note: Wages, Prices and Output Predetermined Relative to Policy Shock.

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Erceg-Henderson-Levinlabor market.

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What Price Optimizers Do

• What they do not do: – Firms with the opportunity to set price today, do not

do the usual thing of setting price as a markup of today’s marginal cost.

– This is because they understand there is a chance that they will be stuck in the future with the price they pick today.

Page 49: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

What Price Optimizers Do, cont’d• Optimizers set price today based on expected

current and future marginal costs.

• Note:– marginal cost involves interest rate, because firms

are assumed to have to borrow to pay the wage bill.

– High supply elasticities limit rise in factor prices in an expansion and so limit the rise in marginal costs and, hence, prices.

marginal cost 1zt

R tWt

1 1 Ptrtk

Page 50: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Is Calvo a Good Reduced Form Model of Sticky Prices?

• Evidence on relative frequency of large and small price changes suggests ‘yes’

• Evidence of probability of price change conditional on time since last change suggests ‘yes’

Page 51: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Evidence from Midrigan, ‘Menu Costs, Multi-Product Firms, and Aggregate Fluctuations’

Histograms of log(Pt/Pt-1), conditional on price adjustment, for two data setspooled across all goods/stores/months in sample.

Lot’s ofsmallchanges

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Households: Sequence of Events

• Technology shock realized.

• Decisions: Consumption, Capital accumulation, Capital Utilization.

• Insurance markets on wage-setting open.

• Wage rate set.

• Monetary policy shock realized.

• Household allocates beginning of period cash between deposits at financial intermediary and cash to be used in consumption transactions.

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Dynamic Response of Consumption to Monetary Policy Shock

• In Estimated Impulse Responses:– Real Interest Rate Falls

– Consumption Rises in Hump-Shape Pattern:

R t/ t 1

c

t

Page 60: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Consumption ‘Puzzle’

• Intertemporal First Order Condition:

• With Standard Preferences:

c t 1

c t MUc,t

MUc,t 1 R t/ t 1

‘Standard’ Preferences

t

c

t

c

Data!

Page 61: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

One Resolution to Consumption Puzzle• Concave Consumption Response Displays:

– Rising Consumption (problem)– Falling Slope of Consumption

• Habit Persistence in Consumption

– Marginal Utility Function of Slope of Consumption– Hump-Shape Consumption Response Not a Puzzle

• Econometric Estimation Strategy Given the Option, b>0

Uc logc b c 1

Habit parameter

Page 62: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Dynamic Response of Investment to Monetary Policy Shock

• In Estimated Impulse Responses:

– Investment Rises in Hump-Shaped Pattern:

I

t

Page 63: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

One Solution to Investment Puzzle…

• Cost-of-Change Adjustment Costs:

• This Does Produce a Hump-Shape Investment Response– Other Evidence Favors This Specification– Empirical: Matsuyama, Smets-Wouters.– Theoretical: Matsuyama, David Lucca

k 1 k F II 1

I

Page 64: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Wage Decisions

• Each household is a monopoly supplier of a specialized, differentiated labor service.

– Sets wages subject to Calvo frictions.– Given specified wage, household must supply whatever

quantity of labor is demanded.

• Household differentiated labor service is aggregated into homogeneous labor by a competitive labor ‘contractor’.

l t 0

1ht,j

1 w dj

w, 1 w .

Page 65: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 66: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Nominalwage, W

Quantity of labor

Labor demand

Labor supply

ShockFirms use a lot of Labor because it’s ‘cheap’. Households mustsupply that labor

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Econometric Methodology

• Choose parameters of economic model, so that the dynamic response to shocks resembles as closely as possible the impulse responses estimated from SVARs.

• Make sure that identifying assumptions used in the SVAR are satisfied in the model.

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• Parameter estimates

• Parameters are surprisingly consistent with estimates reported in JPE (2005) based on studying only monetary policy shocks

• Point estimates imply prices relatively flexible at micro level– At point estimates:

• Other parameters ‘reasonable’: estimation results really want sticky wages!

TABLE 2: ESTIMATED PARAMETER VALUES 1

Model f w a b S Benchmark

0.171.35

0.06. 75

0.32. 32

0.180.06

0.040.80

2.154.85

0.270.77

p 0.58, 11 p

2.38 quarters

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Page 74: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

• Parameters of exogenous shocks:

• Neutral technology shock, ,is highly persistent.

TABLE 3: ESTIMATED PARAMETER VALUES 2

M M z z xz cz czp x c c

p

Benchmark Model

0.12 0.10

0.100. 31

0.03. 91

0.020.05

0.220. 36

1.553.68

1.222.49

0.52 0. 24

0.060.17

0.070.91

0.57 0. 10

0.650.63

z

Page 75: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

• Parameters of exogenous shocks:

• Neutral technology shock, ,is highly persistent.

TABLE 3: ESTIMATED PARAMETER VALUES 2

M M z z xz cz czp x c c

p

Benchmark Model

0.12 0.10

0.100. 31

0.03. 91

0.020.05

0.220. 36

1.553.68

1.222.49

0.52 0. 24

0.060.17

0.070.91

0.57 0. 10

0.650.63

z

Page 76: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
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Monetary Policy Shock

• Key findings:

– Can account for sluggish aggregate response to monetary policy shock without a lot of price stickiness

– Can account for the observed effects of monetary policy on consumption, investment, output, etc.

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troublesome

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Page 81: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Further work with this model• Policy questions:

– role of monetary policy in transmission of technology shocks

– Role of monetary policy in asset price volatility

• Can construct ‘micro panel data sets’ implied by model:

– Gain power to test model by developing its micro implications.

– What are cross-sectional implications of model for prices and quantities at the firm level?

Page 82: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Implications for Panel Data

• ‘Demand shocks’ for intermediate good firms:

• ‘Supply shocks’ for intermediate good firms:

Yt 0

1 itYit

1 f

f

0

1 itdi 1, it~iid across i

Yit itKit ztL it1

it~iid across i

Page 83: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Conclusion of ‘Consensus’ Model Construction and Estimation

• Identified features of a model (variable capital utilization, habit persistence, adjustment costs in the change of investment) that allow it to account for estimated SVAR impulse responses.

• The estimation strategy focused on a subset of model implications.

• Full information methods have been used to estimate version of the model with a full set of shocks on the raw data (Smets and Wouters).

• A future phase of empirical work will draw out the implications of macro models for panel data sets.

Page 84: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Additional model development• Labor market

– Model has no implications for unemployment, vacancies, hours worked, people employed, separations, on-the-job search, etc.

– Sticky wages in model subject to ‘Barro critique of sticky wages’

• Financial markets– Financial markets are not a source of shocks or

propagation.– Cannot ask: ‘what should monetary authority do in

response to increase in interest rate spreads?’

Page 85: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

‘Barro critique’• Most worker-firm relationships are long-term, and unlikely to

be strongly affected by details of the timing of wage-setting.

• Standard sticky wage model implausible.

• Recent results in search-matching literature:

– Must distinguish between intensive (hours) and extensive (employment) margin.

– Barro critique applies to idea that wage frictions matter in the intensive margin.

– Does not apply to idea that wage frictions matter for extensive margin.

Page 86: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Papers

• Mortensen and Pissarides• Shimer• Gertler-Trigari, Gertler-Sala-Trigari• Hall• Den Haan, Ramey and Watson• Christiano, Ilut, Motto, Rostagno• Christiano, Trabandt, Walentin

Page 87: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 88: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Adding Labor Market Frictions

Firms

Households

Unemployment

Employment agency

Employment agency

Employment agency

Labor Market

Endogenousand exogenous separation

Undirected searchendogenous vacancies

Page 89: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

More on the Labor Market• Household Preferences

• Worker finances

hours per worker in cohort i

E t l 0

l t t lc logCt l bCt l 1 t lh AL i 0

N 1 i,t l 1 L

1 LL t li , #

Number of employedworkers in cohort i

1 Lt Ptcbuzt i 0

N 1

WtiLti i,t

1 ty

1 tw

Page 90: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Timeline – labor market

t t+1

Stock of employees in each agency reduced byexogenous separationsincreased by new arrivals

Shocks realized

Wages set• If it’s a time to bargain, choose wage to

solve

• Otherwise, do simple updating

maxw t

V0wt Ut tJwt 1 t

Each worker experiences idiosyncratic, iidproductivity shock. Least efficient are cut: • Unilateral firm decision• Cut determined by total

surplus criterion

Hours worked set according to an efficiency criterion:

Marginal value of worker to agency = marginal cost oflabor for worker

Agency employeessent to work

Vacancies posted

Page 91: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Timeline – labor market

t t+1

Wages set• If it’s a time to bargain, choose wage to

solve

• Otherwise, do simple updating

maxw t

V0wt Ut tJwt 1 t

Each worker experiences idiosyncratic, iidproductivity shock. Least efficient are cut: • Unilateral firm decision• Cut determined by total

surplus criterion

Hours worked set according to an efficiency criterion:

Marginal value of worker to agency = marginal cost oflabor for worker

Bargaining internalizes nature of the job

Page 92: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Extension to Incorporate Financial Frictions

• General idea:– Standard model assumes borrowers and lenders

are the same people..no conflict of interest

– Financial friction models suppose borrowers and lenders are different people, with conflicting interests

– Financial frictions: features of the relationship between borrowers and lenders adopted to mitigate conflict of interest.

Page 93: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Standard Model

Households

Firms

Supply laborRent capital

consumptionInvestment goods

Backyard capital accumulation: Kt 1 1 Kt GI t, I t 1

uc,t E tuc,t 1rt 1k 1 Pk,t 1

Pk,t

Savers and investors are the same: NO FRICTIONS!

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Frictions in Financing of Physical Capital

Savers

Have money, but no ideas

Investors(‘entrepreneurs’)

Have ideas, but not enough money.

Money

Page 95: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Frictions in Financing of Physical Capital

Savers

Have money, but no ideas

Investors(‘entrepreneurs’)

Problem: ‘stuff’ happens.

Money

Incentive of entrepreneurs to under-report earnings

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Vt 1 real earnings on capital (rent plus capital gains) t

nominal rate of interestt 1

t real debt to bankst 1

Net Wortht 1 Vt 1 Wt 1e 1 Wt 1

e

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Vt 1 real earnings on capital (rent plus capital gains) t

nominal rate of interestt 1

t real debt to bankst 1

Net Wortht 1 Vt 1 Wt 1e 1 Wt 1

e

Source of accelerator effects

Page 102: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Vt 1 real earnings on capital (rent plus capital gains) t

nominal rate of interestt 1

t real debt to bankst 1

Net Wortht 1 Vt 1 Wt 1e 1 Wt 1

eSource of Fisher deflation effect

Page 103: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Vt 1 real earnings on capital (rent plus capital gains) t

nominal rate of interestt 1

t real debt to bankst 1

Net Wortht 1 Vt 1 Wt 1e 1 Wt 1

e

Page 104: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Prediction of financial friction model:

• Shocks that drive output and price in the same direction (‘demand’) accelerated by financial frictions.– Fisher and earnings effects reinforce each other.

• Shocks that drive output and price in opposite directions (‘supply’) not much affected by financial frictions. – Fisher and earnings effects cancel each other.

Page 105: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Model with Financial Frictions

Firms

household

Entrepreneurs

Labor market

Capital Producers

L

C I

K

Page 106: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Model with Financial Frictions

Firms

household

Entrepreneurs

Labor market

banks

Capital Producers

Loans

K’

Page 107: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

The equations of the financial friction model

• Net addition of two equations to consensus model:

– Subtract the household intertemporal equation for capital.

– Add three equations pertaining to the entrepreneurs

Page 108: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Three equations pertaining to entrepreneur

• Law of motion of net worth

• Zero-profit conditions of banks

• Optimality condition associated with entrepreneur’s choice of contract.

revenues from non-bankrupt entrepreneurs quantity of non-bankrupt entrepreneurs

receipts from bankrupt entrepreneurs net of bankruptcy costs

payment obligations on bank debt to households

Page 109: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Empirical Analysis of Financial Friction Model

• Christiano-Motto-Rostagno (2008), based on Bernanke-Gertler-Gilchrist (1999) model of financial frictions.

Page 110: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Risk Shock and News

• Assume

• Agents have advance information about pieces of

t 1 t 1 iid, univariate innovation to t

ut

ut

ut t0 t 11 . . . t 8

8

t ii ~iid, E t ii 2 i2

t ii ~piece of ut observed at time t i

Page 111: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Estimation• EA and US data covering 1985Q1-2007Q2

• Standard Bayesian methods• We remove sample means from data and set steady state of X

to zero in estimation.

X t

log N t 1

Pt

tlogper capita hourst

logper capita credit t

Pt

logper capita GDP t

log Wt

Pt

logper capita I t

log per capita M1 tPt

log per capita M3 tPt

logper capita consumptiont

External Finance Premiumt

R tlong R te

R te

logPI,t

logreal oil pricet

log per capita Bank Reserves t

Pt

, #

Page 112: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Summary of Empirical Results With Financial Frictions

• Risk shocks:

– important source of fluctuations.– news on the risk shock important

• The Fisher debt-deflation channel has a substantial impact on propagation.

• Money demand and mechanism of producing inside money:– relatively unimportant as a source of shocks– modest contribution to forecast ability

• Model accounts or substantial fraction of fluctuations in term structure.

• Out-of-Sample RMSEs of the model perform well compared with BVAR and simpler models.

Page 113: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Risk Shocks are Important

Note: (1) as suggested by the picture, risk shocks are relatively important at the lower frequencies(2) We find that they are the single most important source of low frequency fluctuation in the EA, and a close second (after permanent tech shocks) in the US

Actual data versus what actual data would have been if there were only riskShocks:

Page 114: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Risk Shocks are Important

Note: (1) as suggested by the picture, risk shocks are relatively important at the lower frequencies(2) We find that they are the single most important source of low frequency fluctuation in the EA, and a close second (after permanent tech shocks) in the US

Actual data versus what actual data would have been if there were only riskShocks:

Page 115: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Table: Variance Decomposition, HP filtered data, EA

x

shock output consumption investment hours inflation labor productivity interest rate

f 15.02 23.05 2.63 16.37 35.74 1.40 20.46

x b 0.59 1.29 0.02 0.44 0.52 1.44 0.24

0.32 0.01 0.12 0.18 0.08 0.01 0.04

0.02 0.06 0.00 0.02 0.00 0.00 0.00

g 3.26 3.11 0.00 3.34 0.87 0.21 0.48

z 3.72 1.16 0.24 1.42 1.07 10.29 0.72

0.43 0.06 0.92 0.80 0.24 1.52 0.30

10.54 21.68 0.49 7.46 16.10 27.52 8.56

policy 6.22 11.27 1.01 4.14 5.40 0.10 33.15

2.88 0.19 5.11 6.57 0.88 13.17 1.08

signal 20.09 1.81 38.09 15.96 9.22 38.24 9.80

and signal 22.96 2.00 43.20 22.53 10.09 51.41 10.88

c 11.68 32.75 0.15 12.20 11.26 0.83 10.15

i 24.57 1.72 51.14 30.69 10.17 5.22 11.56

oil 0.42 1.39 0.03 0.24 2.21 0.04 1.32

long 0.00 0.00 0.00 0.00 0.00 0.00 0.00

measurement error 0.00 0.00 0.00 0.00 0.00 0.00 1.26

inflation target 0.24 0.43 0.05 0.16 6.23 0.01 0.87

all shocks 100.00 100.00 100.00 100.00 100.00 100.00 100.00

MarkupBanking techCapital techMoney demandGovernment Permanent techGamma shockTemporary techMonetary policyRisk, contempSignals on riskRisk and signalsDiscount rateMarginal eff of IPrice of oilLong rate error

Page 116: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Table: Variance Decomposition, HP filtered data, EA

x

shock output consumption investment hours inflation labor productivity interest rate

f 15.02 23.05 2.63 16.37 35.74 1.40 20.46

x b 0.59 1.29 0.02 0.44 0.52 1.44 0.24

0.32 0.01 0.12 0.18 0.08 0.01 0.04

0.02 0.06 0.00 0.02 0.00 0.00 0.00

g 3.26 3.11 0.00 3.34 0.87 0.21 0.48

z 3.72 1.16 0.24 1.42 1.07 10.29 0.72

0.43 0.06 0.92 0.80 0.24 1.52 0.30

10.54 21.68 0.49 7.46 16.10 27.52 8.56

policy 6.22 11.27 1.01 4.14 5.40 0.10 33.15

2.88 0.19 5.11 6.57 0.88 13.17 1.08

signal 20.09 1.81 38.09 15.96 9.22 38.24 9.80

and signal 22.96 2.00 43.20 22.53 10.09 51.41 10.88

c 11.68 32.75 0.15 12.20 11.26 0.83 10.15

i 24.57 1.72 51.14 30.69 10.17 5.22 11.56

oil 0.42 1.39 0.03 0.24 2.21 0.04 1.32

long 0.00 0.00 0.00 0.00 0.00 0.00 0.00

measurement error 0.00 0.00 0.00 0.00 0.00 0.00 1.26

inflation target 0.24 0.43 0.05 0.16 6.23 0.01 0.87

all shocks 100.00 100.00 100.00 100.00 100.00 100.00 100.00

It’s the signals!

Page 117: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Table: Variance Decomposition, HP filtered data, EA

x

shock stock market credit spread term structure real M1 real M3

f 1.83 13.15 0.16 12.36 44.28 1.82

x b 0.00 0.14 0.00 0.10 5.04 42.39

0.18 0.07 0.03 0.07 0.03 0.02

0.00 0.00 0.00 0.00 13.17 22.63

g 0.03 0.10 0.01 0.07 0.44 0.02

z 0.17 0.07 0.05 0.14 0.42 1.29

5.37 25.82 1.86 0.33 0.13 0.15

0.10 4.06 0.00 3.40 9.89 0.61

policy 4.89 1.81 0.99 25.76 13.15 1.58

13.94 5.07 20.58 0.97 1.39 0.76

signal 68.29 44.23 75.90 6.79 5.98 6.20

and signal 82.22 49.30 96.48 7.76 7.38 6.96

c 0.02 1.72 0.02 3.99 2.46 15.40

i 1.90 2.54 0.27 8.77 1.18 6.17

oil 0.14 0.94 0.05 0.56 1.87 0.15

long 0.00 0.00 0.00 36.05 0.00 0.00

measurement error 2.89 0.19 0.02 0.32 0.21 0.02

inflation target 0.24 0.10 0.05 0.34 0.35 0.80

all shocks 100.00 100.00 100.00 100.00 100.00 100.00

MarkupBanking techCapital techMoney demandGovernment Permanent techGamma shockTemporary techMonetary policyRisk, contempSignals on riskRisk and signalsDiscount rateMarginal eff of IPrice of oilError in long rate

Page 118: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Table: Variance Decomposition, HP filtered data, EA

x

shock stock market credit spread term structure real M1 real M3

f 1.83 13.15 0.16 12.36 44.28 1.82

x b 0.00 0.14 0.00 0.10 5.04 42.39

0.18 0.07 0.03 0.07 0.03 0.02

0.00 0.00 0.00 0.00 13.17 22.63

g 0.03 0.10 0.01 0.07 0.44 0.02

z 0.17 0.07 0.05 0.14 0.42 1.29

5.37 25.82 1.86 0.33 0.13 0.15

0.10 4.06 0.00 3.40 9.89 0.61

policy 4.89 1.81 0.99 25.76 13.15 1.58

13.94 5.07 20.58 0.97 1.39 0.76

signal 68.29 44.23 75.90 6.79 5.98 6.20

and signal 82.22 49.30 96.48 7.76 7.38 6.96

c 0.02 1.72 0.02 3.99 2.46 15.40

i 1.90 2.54 0.27 8.77 1.18 6.17

oil 0.14 0.94 0.05 0.56 1.87 0.15

long 0.00 0.00 0.00 36.05 0.00 0.00

measurement error 2.89 0.19 0.02 0.32 0.21 0.02

inflation target 0.24 0.10 0.05 0.34 0.35 0.80

all shocks 100.00 100.00 100.00 100.00 100.00 100.00

MarkupBanking techCapital techMoney demandGovernment Permanent techGamma shockTemporary techMonetary policyRisk, contempSignals on riskRisk and signalsDiscount rateMarginal eff of IPrice of oilError in long rate

Signal matters!

Page 119: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Importance of Risk Signals

News Specification on Risk and Marginal Likelihood (EA data)

t 1 t 1 t 00 t 1

1 t 22 . . . t p

p

p log, marginal likelihood odds ( exp(difference in log likelihood from baseline))

8 (baseline) 4397.487 1

6 4394.025 31

1 4325.584

Page 120: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Why is Risk Shock so Important?• According to the model, external finance

premium is primarily risk shock.

• To look for evidence that risk might be important, look at dynamics of external finance premium and gdp.

• External finance premium is a negative leading indicator

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Page 122: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 123: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 124: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 125: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Why is Risk Shock so Important?:A second reason

• Our data set includes the stock market

– Output, stock market, investment all procyclical (surge together in late 1990s)

– This is predicted by risk shock.

Page 126: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 127: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 128: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Impact of Financial Frictions on Propagation

• Effects of monetary shocks on gdp amplified by BGG financial frictions because P and Y go in same direction.

• Effects of technology shocks on gdp mitigated by BGG financial frictions because P and Y go in opposite directions.

Page 129: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Baseline model

Blue line: baseline model with no financial frictions

Baseline model with no Fisher Effect

Page 130: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Out of Sample RMSEs

• There is not a loss of forecasting power with the additional complications of the model.

• The model does well on everything, except the risk premium.

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Page 132: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 133: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 134: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 135: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 136: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Disappointing!

Page 137: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 138: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Models with Financial Frictions Can be Used to Address Important Policy

Questions• When there is an increase in risk spreads, how should

monetary policy respond?

• How should monetary policy react to credit variables and the stock market?

• Does monetary policy cause excess asset price volatility?

– Taylor: deviations from Taylor rule may cause asset price volatility– Christiano-Ilut-Motto-Rostagno: Taylor rule may cause asset price

volatility

Page 139: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

How Should Policy Respond to the Risk Spread?

• Taylor’s recommendation:

• Evaluate this proposal by comparing performance of economy with and against Ramsey-optimal benchmark.

R t te yt Risky ratet Risk free ratet

1

1

0

Page 140: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 141: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Get a recession, just like in earlier graph

Page 142: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 143: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Taylor suggestion creates a boomIs it too much?

Page 144: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 145: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Taylor’s suggestion overstimulates

Page 146: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Conclusion of Empirical Analysis with Financial Frictions

• Incorporating financial frictions changes inference about the sources of shocks and of propagation

– risk shock.– Fisher debt deflation

• Opens a range of interesting questions that can be addressed

Page 147: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Extra Slides…

Page 148: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

50 basispoint jumpin nominal rate

Page 149: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Big drop in investmentand net worth

Page 150: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University
Page 151: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Note: the software for computing these charts may be found at http://faculty.wcas.northwestern.edu/~lchrist/course/financial.htm

Page 152: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

• Prediction of financial friction model appears to be consistent with empirical evidence.

• Chari-Christiano-Kehoe (2008) show:

– Financially constrained firms seem to be more affected by monetary shock than unconstrained (Gertler-Gilchrist)

– Financially constrained and unconstrained firms roughly equally affected over the business cycle.

Page 153: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

• Delivers new variables such as credit, risk spread

• Can ask interesting questions: – when risk in the economy increases, how should

monetary policy react.

– What role should data on credit and on the stock market (the price of capital) play in monetary policy?

Page 154: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Summary• We constructed a dynamic GE model of cyclical fluctuations.

• Given assumptions satisfied by our model, we identified dynamic response of key US economic aggregates to 3 shocks

– Monetary Policy Shocks– Neutral Technology Shocks– Capital Embodied Technology Shocks

• These shocks account for substantial cyclical variation in output.

• Estimated GE model does a good job of accounting for response functions (However, Misses on Inflation Response to Neutral Shock)

• Our point estimates suggest slope of Phillips curve steep, so there is no micro-macro price puzzle. However, large standard error.

• Described extensions of the model.

Page 155: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Summary…

• Calvo Sticky Prices and Wages Seems Like Good Reduced Form

– What is the Underlying Structure?

– Is it information frictions?

Page 156: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Modification of labor market• Mortensen-Pissarides search and matching frictions recently

introduced into DSGE models (Gertler-Sala-Trigari, Blanchard-Gali, Christiano-Ilut-Motto-Rostagno)

• Draw a distinction between hours (‘intensive margin’) and number of workers (‘extensive margin’)

• Intensive and extensive margins exhibit very different dynamics over business cycle

• Wage frictions thought to matter for extensive margin, not intensive margin.

• Extension to open economy (Christiano, Trabandt, Walentin)

Page 157: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Homogeneous Labor

EmploymentAgency

EmploymentAgency

EmploymentAgency Employment

Agency

unemployment

Firms

Page 158: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Homogeneous Labor

EmploymentAgency

EmploymentAgency

EmploymentAgency Employment

Agency

unemployment

FirmsEach period, employment agencies post vacancies to attract workers

Page 159: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Homogeneous Labor

EmploymentAgency

EmploymentAgency

EmploymentAgency Employment

Agency

unemployment

Firms

Efficient determination ofhours worked in employment agencymarginal benefit of one hour to agency = marginal cost to worker of one hour

Page 160: Recent Developments in Monetary Economics Lawrence Christiano Northwestern University

Homogeneous Labor

EmploymentAgency

EmploymentAgency

EmploymentAgency Employment

Agency

unemployment

Firms

Taylor wage contractingEmployment agencies equally divided between N cohorts. Each period one cohort negotiates an N-period wage with its workers.