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The Keynesian multiplier, news and fiscal policy rules in a DSGE model Authors: George Perendia and Chris Tsoukis artilogica@btconnect.com c.tsoukis@londonmet.ac.uk London Metropolitan University Abstract : We extend the standard


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SLIDE 1

The Keynesian multiplier, news and fiscal policy rules in a DSGE model

Authors:

George Perendia and Chris Tsoukis

artilogica@btconnect.com c.tsoukis@londonmet.ac.uk London Metropolitan University

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SLIDE 2

Abstract:

  • We extend the standard Smets-Wouters (2007) medium-

sized DSGE model in two directions, namely to analyse the effects of news and the Keynesian multiplier, and secondly to incorporate a fiscal policy rule.

  • We show that both the news channel and the government

spending fiscal policy rule significantly improve model fit to

  • data. We then simulate the effects of monetary and of fiscal

policy and particularly the role of the Keynesian vs. the neoclassical aspects of the model in driving the results.

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SLIDE 3

Motivation

Fiscal policy is again rising to prominence because:

  • Limited effectiveness of monetary policy (zero bound

effects, etc);

  • In Europe, because of the loss of monetary sovereignty.

But debate continues to surround the desirability and effectiveness of fiscal policy and the controversy surrounding the „Obama stimulus plan‟, the ARRA 2009*.

  • particularly government spending,
  • crystallised around the notion of the „Keynesian multiplier‟,

the notion of a virtuous circle of government spending generating incomes-consumption-output-further incomes, etc.,...

  • both providing a rationale for fiscal policy via government

spending.

*) American Recovery and Reinvestment Act, 2009

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SLIDE 4

Introduction – the multiplier (I):

Two strands in the static multiplier literature: 1) a static variety of models seeks to re-discover the Keynesian multiplier in static monopolistic set-up.

 The balanced-budget multiplier emerges in the short

run because of the virtuous circle:

 higher spending generating higher company profits

then feed on to higher spending

 the multiplier vanishes in the long run because free

entry eliminates all profits and breaks the virtuous circle.

(Mankiw, 1988; Starz, 1989; Dixon, 1987; Dixon and Lawler, 1996; Heijdra, 1998, Heijdra, Ligthart and van der Ploeg, 1998; Sylvestre, 1993;)

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SLIDE 5

Introduction – the multiplier (II):

  • 2) A second static strand of literature is purely neoclassical

(Hall, 2009, Woodford, 2011, Mulligan, 2011):

  • Rational agents realise that government spending increases

will be accompanied by tax increases;

  • Hence (rational consumer‟s) consumption declines

(„crowded out‟);

  • Output rises because a poorer consumer will work harder

(will „buy less leisure‟);

  • But the output rises is less than the government spending

increase.

  • Neoclassical conclusions are vigorously contested by the

latest of Summers and DeLong (2012).

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SLIDE 6

Introduction – the multiplier (III):

A 3rd strand builds on (Neoclassical) intertemporal

  • ptimisation

 include response of consumption to changing interest rates,  integrating fiscal policy with dynamic macroeconomics.

But due to their diversity they

 fail to reach uniform conclusions; e.g. on,  the magnitudes of short- relative to long-run multipliers,

and

 whether or not private consumption is crowded out or in  Mostly share with the static approaches the weakness that

fiscal policy is entirely wasteful!

(Aschauer, 1985, 1988; Barro, 1989; Aiyagari et al., 1990; Christiano and Eichenbaum, 1992; Baxter and King, 1993; Gali, Lopez-Salido and Valles, 2002)

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SLIDE 7

Introduction:

This paper seeks to enhance our understanding of of fiscal policy in the context of the

 business cycles and current crisis, and  its potential for stabilisation.

we utilise a standard medium-sized DSGE model as in Smets and Wouters (2007) (see also Drautzburg and Uhlig, 2010). Our innovation is twofold,

 to incorporate a Keynesian multiplier along the lines of the

first strand of literature summarised above; and

 to account for fiscal policy that is not a random exogenous

shock as usually modelled, but, instead: – may be endogenous, and, – may follow a fiscal policy rules akin to that of Taylor (1993) monetary policy rule.

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SLIDE 8

Model of the Keynesian multiplier:

To introduce the Keynesian multiplier, we employ a variant

  • f the Euler equation for consumption that accounts for

unexpected developments in output and the interest rate („news‟).

 Unexpected developments then adds up to output via

national income accounting, and then

 further affects consumption due to our formulation of

consumption with the news.

 a Keynesian multiplier structure arises around the

backbone of intertemporal evolution of the Euler equation.

 Such a structure is absent in standard formulations,

hampering a better understanding of the workings of fiscal policy.

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SLIDE 9

Model of the Keynesian multiplier:

 The standard Euler equation shows the time profile of

consumption and its response to incentives to save (the real interest rate) or consume now (rate of time preference);

 it is silent on how consumption responds to changes in

lifetime resources.

 it takes into consideration the anticipated lifetime

resources at the beginning of the planning period, but

 any subsequent revisions of those are not reflected in the

path of consumption.

 Schematically, the Euler equation determines the slope of the

consumption profile but not its position – see next slide.

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SLIDE 10

Consumption profile over the lifetime

Figure 1: Consumption and „news‟ logC to t1 t

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SLIDE 11

Model of the Keynesian multiplier:

In above figure

 the bold consumption profile is determined at t0.  Euler eq. determines the slope – can change at any time.  But, its position is determined only once, at t0 (and

implicitly), reflecting the lifetime resources anticipated then.

 However, if at t1, say, there is „news‟, a revision of

lifetime fortunes (unanticipated at t0) that might warrant a shift to a higher profile with the same slope (thinner line), this development will be lost in the Euler equation.

 This is a crucial omission, as at the core of the multiplier

is the virtuous circle fiscal expansion – higher incomes

  • ver the lifetime – higher consumption – higher output

and lifetime incomes, etc.

 (see Starz, Mankiw, and Dixon and others);

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SLIDE 12

Model of the Keynesian multiplier:

 Naturally, all estimable Euler equations contain error

terms, which may be interpreted as news about future resources (among other things), but

 these are entirely exogenous and random, hence

unrelated to the logic of the multiplier above.

 One may say that the interest rate also reflect the „news‟,

but

 this channel is much too indirect and uncertain to

support a Keynesian multiplier.

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SLIDE 13

Model of the Keynesian multiplier:

To re-instate the multiplier via the effect of news on consumption, we adopt a variant of the „permanent income theory of consumption‟, following Obstfeld and Rogoff (1996, Ch. 2, equation 2.16).

(1)

Where

,

is the inverse of the discount factor, At current wealth. Xt is labour earnings plus monopoly profits, and linearisation gives eq. (2):

           

  

/ ) 1 ( ~ 1 ~

s s t s t t t t

R X E A r r C   

 

 

s v v t s t

r R

1

) ~ 1 (

                        

 

         1 1

) ~ 1 ( ) ~ 1 /( ) 1 )( 1 ( ~ 1 1 ) ~ 1 ( ) 1 ( ~ 1 ~

s s s t s t t s s s t t t t

r y r r E r r x E a r r C X c       

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SLIDE 14

Model of the Keynesian multiplier:

Following Deaton (1990, Ch. 3), we use the period budget constraint in a beginning-of-period formulation in a linearised form (eq 3‟): and supplementing (3‟) into the consumption equation (2):

t t t t t

r c A C x A X a r a ) 1 ( ) 1 ( ) ~ 1 (

1 1 1

                

  

                                                      

 

            1 1 1 1 1

) ~ 1 ( ) ~ 1 /( ) 1 )( 1 ( 1 1 ) ~ 1 ( ) 1 ( ) 1 ( ) 1 ( ) ~ 1 ( ~ 1 ~

s s s t s t t s s s t t t t t t t

r y r r E r r x E r c A C x A X a r r r C X c          

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SLIDE 15

If we lag (2) and multiply result by (1+r-) and subtract from (4), we get (5): Where

  • The key is that the evolution of consumption is

attributed to „news‟, i.e, revisions of expectations due to the shocks hitting the system.

  • The relation to the multiplier is that when output

changes, so will profits and labour earnings, and

  • this will create „news‟ of higher future earnings,

Model of the Keynesian multiplier:

                                               

 

           1 1 1 1

) ~ 1 ( ) 1 /( ) ~ 1 /( ) 1 ( ) ( ~ 1 ) 1 /( ) ~ 1 /( ) 1 ( ) ~ 1 ( ) 1 )( ( ) 1 ( ~ 1 ~

s s s t s t t t t t s s s t t t t t

r y r r E E r y r r r x E E r r r C c           

s t t s t t s t t t

x E x E x E E

    

  

1 1)

(

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SLIDE 16

To close the model, we need:

(6)

where M

t: Real monopolistic (“supernormal”) profits,

in linearised form:

(6‟)

Introducing (6‟) into (5) we get consumption difference (7a) and present value of labour earnings+monopoly profits Wt:

(7b)

whose revision in expectations form the news effect.

Model of the Keynesian multiplier:

)) 1 /( 1 1 ( ) / 1 (

t t t t t t t t t M t t t t

m Y L W P MC Y L W L W X          

p t t t t t

l w lshare y x      ) (

              W           

      r y r r E E r r r C c

t t t t t t t

~ 1 ) 1 /( ) ~ 1 /( ) 1 ( ) ( ) 1 ( ~ 1 ~

1

) 1 ( ) ~ 1 ( ) 1 ( ) 1 ( ~ 1

1 1 1

              W  W

   t t t t t

y r r x r

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SLIDE 17

Fiscal policy and (un-)employment targeting rules

Our second innovation concerns the fiscal policy rule a la Taylor (1993). I.e. we explicitly recognise that:

 fiscal policy is NOT random exogenous shock as would

have been modelled customary, and,

 it shows endogenous association with the business cycle.

We tested several models based on S&W 2007 model‟s exogenous spending equation but with variations of the news and/or unemployment* (or the lag-differences of unemployment or labour force) added on the lines of:

  • r

*)when if used, the unemployment at time t was defined as a difference between the flexible (frictionless) and the rigid economy‟s labour forces: ut = lf,t - lt

at y gt t t u t g t

g u u g g g        

 

) (

1 1

at y gt t t t t t u t g t

g E E u u g g g       W     

  

) ( ) (

1 1 1

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SLIDE 18

Models:

As a benchmark we used Dynare estimation results of S&W‟07 model with the original US data and its Log data density* which is estimated to be -925.087641 M0: A standard Euler equation as in SW, with no news in either the Euler equation SW or the government spending „Taylor rule‟, but with the unemployment rate (lagged difference) defined as above. We achieved the estimated Log-Density* of -917 , i.e. substantially higher than for the original S&W 07 model!

*) We used Dynare for estimation of all models to Log data density [Laplace approximation] stage only at this stage of research.

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SLIDE 19

Models:

M1: Backward looking consumption with news; a government spending „Taylor rule‟ with news effect: this model failed the Blanchard-Kahn (1980) test due to an insufficient number of forward looking variables

t t t t t t

E E c c     W   

 

) (

1 1

, ) 1 ( ) ~ 1 ( ) 1 ( ) 1 ( ~ 1

1 1 1

              W  W

   t t t t t

y r r x r

at y gt t t t t u t g t

g E E u g g g       W    

 

) (

1 1

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SLIDE 20

Models:

M2: A standard Euler equation combined with Model 1, with two types of mutually exclusive (weighted) heterogeneous agents, one that follow the, the standard S&W NK forward looking consumption expectation and the other, backward looking but with the news effect: This model achieved estimated log-density -915 A similar model but with the forward looking unemployment difference in the fiscal rule: achieved even better fit to data with log-density -912!

t t t

c c c

2 1

) 1 (     

,

1   

) ( ) ( ) 1 (

3 1 2 1 1 1 1 1 1 1 bt t t t t t t t t

r c l E l c c E c c          

   t t t t t t

E E c c     W   

 

) (

1 1 2 2 2

, ) 1 ( ) ~ 1 ( ) 1 ( ) 1 ( ~ 1

1 1 1

              W  W

   t t t t t

y r r x r

at y gt t t t t u t g t

g E E u g g g       W    

 

) (

1 1

at y gt t t t t t u t g t

g E E u u g g g       W     

  

) ( ) (

1 1 1

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SLIDE 21

Models:

M3: An (SW07) Euler equation with news added, and a basic government spending rule (I.e. without news or unemployment targeting rule): Estimated LDD= -929.6 (which is worse than SW07‟s) M 4: A standard Euler equation (identical to SW), with a government spending rule featuring news but no unemployment targeting rule: The estimated LDD= -912.1 is indicating importance of endogenising so called “exogenous” government spending.

) ( ) ( ) ( ) 1 (

3 1 2 1 1 1 bt t t t t t t t t t t t

r c l E l c E E c E c c         W     

    at y gt t g t

g g g      

1

at y gt t t t t g t

g E E g g       W   

 

) (

1 1

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SLIDE 22

Models:

M5: As Model 4 with the addition of the change in the unemployment rate in the government spending rule, as follows: (usmodel_li1KM01_wgdu.mod ) Estimated LDD=-911.9. M 6: As model 3 (Euler equation with news) with the addition of news (but no unemployment) in the fiscal „Taylor rule‟: This effectively augments both the Euler equation and the fiscal rule with news. Estimated LDD=-912.

at y gt t t t t t u t g t

g E E u u g g g       W     

  

) ( ) (

1 1 1

) ( ) ( ) ( ) 1 (

3 1 2 1 1 1 bt t t t t t t t t t t t

r c l E l c E E c E c c         W     

    at y gt t t t t g t

g E E g g       W   

 

) (

1 1

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SLIDE 23

Models:

M 7: As Model 6 with the addition of the forward-looking difference in unemployment in the fiscal rule: Estimated LDD=-911.9 M8: As in model 7 Euler with backward-looking (instead

  • f forward-looking) change in unemployment in the fiscal

rule: Estimated LDD=-912.3; estimated 0.4395.

) ( ) ( ) ( ) 1 (

3 1 2 1 1 1 bt t t t t t t t t t t t

r c l E l c E E c E c c         W     

    at y gt t t t t t u t g t

g E E u u g g g       W     

  

) ( ) (

1 1 1

) ( ) ( ) ( ) 1 (

3 1 2 1 1 1 bt t t t t t t t t t t t

r c l E l c E E c E c c         W     

    at y gt t t t t t u t g t

g E E u u g g g       W     

  

) ( ) (

1 1 1

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SLIDE 24

Models:

M 9: As in models 8 and 9 with the simple unemployment rate (instead of its difference) in the fiscal unemployment targeting rule: Estimated LDD=-911.5, 0.45 M 11: As in model 9 but with backward-looking change in labour force instead of unemployment in the fiscal rule: Estimated LDD=-910.5; M 12: A similar model but with no news in either Euler or fiscal rule but only labour difference gives LLD=-913.1

) ( ) ( ) ( ) 1 (

3 1 2 1 1 1 bt t t t t t t t t t t t

r c l E l c E E c E c c         W     

    at y gt t t t t t u t g t

g E E u u g g g       W     

  

) ( ) (

1 1 1

at y gt t t t t t u t g t

g E E l l g g g       W     

  

) ( ) (

1 1 1

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SLIDE 25

Results:

Multiplier Fiscal policy Rank Model news in c news in g (un)emp rule used unempl

  • yment

params LDD MCMC 10000 Note 1 11 0.1463

  • 0.26 lab bk dif
  • 0.1732 -910.513

2 9 0.1634

  • 0.298 simple u

0.0265 -911.493 3 7 0.151

  • 0.281 u fwd dif

0.164 -911.918 4 5

  • 0.259 u bk dif

0.1592 -911.926 5 6 0.1569

  • 0.295
  • 912.057

6 4

  • 0.316
  • 912.079

7 8 0.1544

  • 0.265 u bk dif

0.1154 -912.331 8 10 0.269

  • 0.261 simple u

0.0257 -912.352 Heterogen ag 9 12 lab bk dif

  • 0.4711 -913.115 -917.586

10 2 0.4602

  • 0.318 simple u

0.0218 -915.805 Heterogen ag 11 u bk dif 0.4802 -917.623 -921.946 12 SW1

  • 924.956 -929.036 SW 07 li1

13 SW2

  • 925.088 -929.985

SW 07 li2, ORIGINAL 14 3

  • 0.024
  • 929.619
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SLIDE 26

Original S&W 2007 model responses to hg shock to g (I.e. g)

Results:

5 10 15 20

  • 1

1 dy 5 10 15 20 0.5 1 y 5 10 15 20 0.01 0.02 pinfobs 5 10 15 20 0.02 0.04 robs 5 10 15 20

  • 0.4
  • 0.2

c 5 10 15 20

  • 0.05

0.05 w 5 10 15 20 0.2 0.4 lab 5 10 15 20 0.5 1 g 5 10 15 20

  • 1
  • 0.5

inve

slide-27
SLIDE 27

Results:

The employment difference based fiscal rule only model 12 responses to hg shock to g (I.e. g)

slide-28
SLIDE 28

News and fiscal rule model 11 responses to hg shock to g (I.e. g)

Results:

slide-29
SLIDE 29

Results (I):

  • Experimenting with the models and data in the “linear

space” experimental laboratory of DSGE models estimation and simulation Dynare toolkit, we found that

  • our model behaves in a comparable manner to SW07.
  • Having, however, with a sizeably higher likelihood, our

models provide a much better fit to data than SW07.

  • Our estimation results show dramatic improvements

when either one or both factors,

– the news, and/or – the (un-) employment

targeting rules are added to the so called “exogenous” (government) spending and making it more endogenous.

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SLIDE 30

The Multipliers

  • Textbook multiplier: (Yt-Y0)/dG0
  • 2 adjustments to render meaningful:
  • As raw IRF of consumption gives a deviation of c from

its trend as a % of C, we multiply by the mean consumption-output ratio (0.6) to express deviations as % of output;

  • Question over „true‟ exogeneity: In our model it is the

shock (eg) but if government have a target of g, then the latter may be thought of as the exogenous variable with eg as residual (endogenous) adjustment – hence, take either as the true fiscal impulse.

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SLIDE 31

The Multipliers – Table 2

Table 2 presents the following multipliers: The models are organised in pairs, where, in each pair,

  • Model a is the version with news in the Euler equation,
  • Model b is the version of the same model without news*

*) Models 2a and 2b are not exact counterparts, in this respect, as 2a has unemployment in the fiscal rule, whereas 2b has the difference in unemployment in the fiscal rule; otherwise, they are exact counterparts, except that 2a has news in the Euler equation whereas 2b does not.)

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SLIDE 32

Table 2 – part i.

Quarter after shock 1 2 3 4 5 6 7 11 15 19

  • 1a. usmodel_li1KM01_wswgdl_1_ news in SW+ g + lab diff in g LDD -

910 BEST of all c_eg/eg 0.16 0.10 0.05 0.01

  • 0.03
  • 0.05
  • 0.08
  • 0.10
  • 0.14
  • 0.16
  • 0.17

y_eg/eg 0.80 0.69 0.60 0.53 0.47 0.41 0.37 0.33 0.23 0.18 0.15 g_eg/eg 0.60 0.60 0.59 0.59 0.58 0.57 0.56 0.55 0.51 0.46 0.42 c_eg/g0 0.26 0.17 0.08 0.01

  • 0.04
  • 0.09
  • 0.13
  • 0.16
  • 0.24
  • 0.27
  • 0.28

y_eg/g0 1.34 1.16 1.01 0.88 0.78 0.69 0.61 0.55 0.39 0.30 0.24 g_eg/g0 1.00 1.00 0.99 0.98 0.97 0.95 0.94 0.92 0.84 0.77 0.69

  • 1b. usmodel_lik1_gl_1 no news only diff lab in g LDD
  • 913

c_eg/eg

  • 0.03
  • 0.07
  • 0.10
  • 0.12
  • 0.14
  • 0.16
  • 0.17
  • 0.18
  • 0.20
  • 0.21
  • 0.20

y_eg/eg 0.74 0.66 0.59 0.54 0.48 0.44 0.40 0.37 0.27 0.21 0.17 g_eg/eg 0.74 0.74 0.74 0.74 0.73 0.72 0.71 0.70 0.63 0.57 0.51 c_eg/g0

  • 0.05
  • 0.09
  • 0.13
  • 0.16
  • 0.19
  • 0.21
  • 0.23
  • 0.24
  • 0.27
  • 0.28
  • 0.27

y_eg/g0 0.99 0.89 0.80 0.72 0.65 0.59 0.54 0.49 0.36 0.28 0.22 g_eg/g0 1.00 1.00 1.00 1.00 0.99 0.97 0.96 0.94 0.86 0.77 0.68

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SLIDE 33

Table 2 – part ii.

Quarter after shock 1 2 3 4 5 6 7 11 15 19

  • 2a. usmodel_li1KM01_swcy1gu_w1_rc1pi2_ news in SW+ g + u in g LL911

BEST with unemployment c_eg/eg 0.20 0.14 0.09 0.05 0.01

  • 0.02
  • 0.05
  • 0.07
  • 0.13
  • 0.15
  • 0.16

y_eg/eg 0.86 0.72 0.60 0.51 0.43 0.36 0.30 0.26 0.15 0.09 0.07 g_eg/eg 0.62 0.60 0.57 0.55 0.53 0.51 0.49 0.48 0.42 0.37 0.33 c_eg/g0 0.33 0.23 0.15 0.08 0.02

  • 0.03
  • 0.07
  • 0.11
  • 0.20
  • 0.24
  • 0.26

y_eg/g0 1.39 1.16 0.97 0.81 0.68 0.58 0.49 0.42 0.24 0.15 0.11 g_eg/g0 1.00 0.96 0.92 0.88 0.85 0.82 0.79 0.76 0.67 0.59 0.52

  • 2b. usmodel_li1KM01_wgdu _no news in SW but news and

du in g 911.9 c_eg/eg

  • 0.02
  • 0.05
  • 0.07
  • 0.09
  • 0.11
  • 0.12
  • 0.13
  • 0.14
  • 0.16
  • 0.16
  • 0.16

y_eg/eg 0.73 0.64 0.56 0.49 0.44 0.39 0.35 0.32 0.23 0.18 0.14 g_eg/eg 0.72 0.70 0.67 0.66 0.64 0.62 0.60 0.59 0.52 0.46 0.41 c_eg/g0

  • 0.03
  • 0.07
  • 0.10
  • 0.13
  • 0.15
  • 0.17
  • 0.19
  • 0.20
  • 0.22
  • 0.22
  • 0.22

y_eg/g0 1.02 0.89 0.78 0.68 0.61 0.54 0.49 0.45 0.32 0.25 0.20 g_eg/g0 1.00 0.96 0.93 0.91 0.88 0.86 0.84 0.82 0.73 0.64 0.57

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SLIDE 34

Table 2 – Model 1a: responses normalised by eg0

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SLIDE 35

Table 2 – Model 1a : responses normalised by g0

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SLIDE 36

Multipliers – cont’d.

  • Furthermore, the numerator of the multiplier, (Yt-Y0)/dG0,

can be decomposed as change along the trend plus deviation from it;

  • Only latter should be considered:
  • Trend is completely exogenous, unrelated to fiscal

policy (as that is not assumed productive);

  • Trend explodes asymptotically;
  • Hence, if output devs. (in levels) is and

it follows that .

  • Table 3 presents
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SLIDE 37

Table 3

Quarter after shock 1 2 3 4 5 6 7 11 15 19

  • 1a. usmodel_li1KM01_wswgdl_1_ news in SW+ g + lab diff in g LDD -

910 BEST of all c_eg/eg 0.16 0.10 0.05 0.01

  • 0.03
  • 0.06
  • 0.08
  • 0.10
  • 0.15
  • 0.17
  • 0.18

y_eg/eg 0.80 0.70 0.61 0.54 0.47 0.42 0.38 0.34 0.24 0.19 0.16 g_eg/eg 0.60 0.60 0.60 0.60 0.59 0.58 0.58 0.57 0.53 0.49 0.45 c_eg/g0 0.26 0.17 0.08 0.01

  • 0.04
  • 0.09
  • 0.13
  • 0.17
  • 0.25
  • 0.29
  • 0.31

y_eg/g0 1.34 1.16 1.02 0.89 0.79 0.70 0.63 0.57 0.41 0.32 0.26 g_eg/g0 1.00 1.00 1.00 0.99 0.98 0.97 0.96 0.95 0.88 0.82 0.75

  • 1b. usmodel_lik1_gl_1 no news only diff lab in g LDD
  • 913

c_eg/eg

  • 0.03
  • 0.07
  • 0.10
  • 0.12
  • 0.14
  • 0.16
  • 0.18
  • 0.19
  • 0.21
  • 0.22
  • 0.22

y_eg/eg 0.74 0.67 0.60 0.54 0.49 0.45 0.41 0.38 0.28 0.22 0.18 g_eg/eg 0.74 0.75 0.75 0.75 0.75 0.74 0.73 0.72 0.67 0.61 0.55 c_eg/g0

  • 0.05
  • 0.09
  • 0.13
  • 0.17
  • 0.20
  • 0.22
  • 0.24
  • 0.25
  • 0.28
  • 0.30
  • 0.30

y_eg/g0 0.99 0.90 0.81 0.73 0.66 0.60 0.55 0.51 0.38 0.30 0.24 g_eg/g0 1.00 1.01 1.01 1.01 1.00 0.99 0.98 0.97 0.90 0.82 0.74

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SLIDE 38

Table 3 – Model a: responses normalised by eg0

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SLIDE 39

Table 3 – Model a: responses normalised by g0

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SLIDE 40

Results (II):

  • 1. Models with news in the Euler equation consistently

show higher responses of both consumption and output to the fiscal shock.

  • 2. Choice of the scaling factor (one standard deviation of

the estimated exogenous spending shock or g0) matters a

  • lot. In the latter case, we get true Keynesian multipliers
  • f higher than unity, that last at least for a year.
  • 3. Incorporation of news is also critical in the sense that,

with it, consumption responds positively to the fiscal shock in both types of shock (eg0 and g0), whereas

  • 4. without it, the consumption response is lower, and

negative in the case of the former type of shock. This refutes the key criticism of the fiscal multiplier that it crowds out private consumption (if it actually does) view (see e.g. Barro, 2010)

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SLIDE 41

This paper seeks to enhance our understanding of fiscal policy in the context of the

 business cycles and current crisis, and  its potential for stabilisation.

We utilise a standard medium-sized DSGE model as in Smets and Wouters (2007) (see also Drautzburg and Uhlig, 2010). Our innovation is twofold,

 to incorporate a Keynesian multiplier by allowing for „news‟

(unexpected revisions in lifetime wealth) to augment the Euler equation, hence giving rise to an output news – consumption – further output changes virtuous circle; and

 to account for the evolution of fiscal policy that is not random

and exogenous, but may follow a rule akin to that of Taylor (1993) for monetary policy.

Conclusions (I):

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SLIDE 42

Conclusions (II):

  • Another (New) Keynesian feature is inclusion of change
  • f employment rates or of unemployment (as difference

between the employment rates of the actual and flexible- price economy) that affects the fiscal policy rule.

  • More neo-classical features include

– intertemporal optimisation, – elastic labour supply, – trend growth.

  • Our results show dramatic improvements in estimation

results over the standard SW specification.

 The „news‟ channel allows for a change in results

towards a more „keynesian‟ flavour – more prolonged

  • utput responses, positive consumption responses.
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SLIDE 43

Possible extensions in future work:

  • Extend the model towards heterogeneous framework,

e.g. add the non-Ricardian consumers a la Drautzburg and Uhlig,

  • optimistic and pessimistic (Animal spirit driven) agents

along the lines of DeGrauwe, (2009) and

  • the imperfect (partial) information solution framework

with the adaptive behaving agents on the lines of Levine, Pearlman, Perendia and Yung (2010).

  • Allow for beneficial effects of public debt on growth

(e.g., Traum and Yang, 2009) – e.g., due to a possible reduction in capital gains taxes or increase in business investment.

  • Allow for special nature of government spending:
  • production-enhancing, e.g. via infrastructure-building;
  • related to defence (see papers by Barro).
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SLIDE 44

Thank you for listening!

The Keynesian multiplier, news and fiscal policy rules in a DSGE model

Authors:

George Perendia and Dr Chris Tsoukis

artilogica@btconnect.com c.tsoukis@londonmet.ac.uk London Metropolitan University