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FISCAL MULTIPLIERS Arbresh MAMUDI, State University of Tetovo, Geoff PUGH, Staffordshire University Business School Theoretical approaches Far from consensus • The range of reported multipliers varies from negative to higher than one • Empirical evidence on the size of the multiplier cannot distinguish between the competing theories • Range 0<k<1 k >1 k <0 RBC • fully competitive labor and goods markets • ‘Ricardian consumers’ • complementarity of public and private consumption • distortional effects of taxation • ‘wage pressure’ effect of public employment NK-DSGE Inflation targeting monetary authority • Monopolistic competition • Sticky prices and wages Post crisis studies: • ‘non- Ricardian consumers’ • zero lower bound interest rate Post crisis studies: • risk premium on interest rates for high government debt The dataset • 65 empirical studies, 914 observations estimated by – single equation approaches (SEE) or – Vector autoregression (VAR) models; • Primary data for structural characteristics of the countries: o The indebtedness of the economy, (central government debt/ GDP) o Monetary policy reaction, (short term money market rates) o The degree of openness, (imports of goods and services/GDP) o Financial development, (domestic credit to private sector/ GDP) • NOVELTY- augment MRA with primary data on labour market variables • Why? Labour market characteristics important in both leading theories: o o o o Employment protection legislation indicator, EPL-(index scaled 0-5) Trade union density, TUD-(ratio) Benefit replacement rates, BRR-(ratio) Coordination of wage bargaining, COOR-(index scaled 1 to 5) Moderator variables: coding the literature • • • • • • • • • • • Type of model class Type of fiscal impulse Direction of the impulse The way fiscal shocks are financed The duration of the shock Type of the country Type of data Horizon of estimation Type of fiscal multiplier Controlling for country specific characteristics Controlling for the quality of the study MRA methodology ki= k0 + – – – – – – 𝑚 𝑚=1 𝛼 mZim + β1( 1 )+ N i ei ki is the multiplier value of observation i; k0 is the “underlying” or “reference” multiplier value to be estimated; Zim are m characteristics (“moderator variables”) of observation i; αm are m parameters to be estimated ( effects of Zim on ki); ej is the meta-regression disturbance term; 1 ( ) is a proxy for publication bias (N =sample size for observation i) N • Standardization is not necessary; multiplier is dimensionless • Multiple estimates per study used; – each estimate is weighted by the inverse of number of estimates in a given study • standard errors adjusted for data clustering, – using each study in our dataset as a distinct cluster 20 10 0 sqrsamsiz 30 40 Publication bias: Funnel plot & FAT-PET -5 0 5 k 10 • ‘Funnel plot’ –ambiguous: • slightly skewed to the right, but weight to the left • around a mean that is positive, • Cf. ‘FAT’: Ho:β1=0 ; no systematic variation of effect size with sample size • Ho rejected, β1=-2.37, (p-value=0.01) , negative coefficient indicates positive relationship between size of multiplier and sample size • No ‘classical’ reason for publication search • Competing theories with different predicted multipliers 15 Multivariate MRA: 2 models • Baseline model: – All MVs – 2 dummies for Japan studies • All Japan studies • Japan studies after 1990 • Preferred model: – Exclude DV controlling for the financial crisis • A few observations controlling for financial crisis during the sample period – Cures substantial multicollinearity effects • e.g. with Japan dummies – Cures diagnostic failure with respect to linearity Table 4: Total sample results- different specification (WLS and cluster-robust SEs) Variables Description k0 Constant Model class var VAR models Fiscal impulse see cons SEE models Public consumption invest Public Investments milita Military expenditure Tax shocks Group tax pubemp notspec • • Public employment expenditure General government expenditure Baseline model (1)a 1.198** (0.434) 0.887*** (0.232) Preferred model (2)b 1.010** (0.395) 0.873** (0.233) 0.609*** (0.145) 0.562*** (0.200) -0.276 (0.405) -0.474*** (0.141) -0.017 (0.421) 0.639*** (0.145) 0.584*** (0.197) -0.280 (0.406) -0.487*** (0.142) -0.008 (0.417) Diagnostic test: • Preferred model is well specified with respect to linear functional form ( 1% level) and normality • But may suffer from heteroscedasticity; so model is estimated with cluster robust standard errors Multivariate results : • Multipliers from the VAR model are significantly higher than estimates from SEE • Public investment and public consumption produce higher multiplier values • Tax shocks have lower impact compared to unspecific/general public spending Table 4: Total sample results- different specification (WLS and cluster-robust SEs) Group Variables Description Baseline model (1)a -0.247 (0.194) -0.925*** (0.331) Preferred model (2)b -0.266 (0.194) -0.902*** (0.330) Direction of impulse Duration of impulse incr Positive fiscal shock tempor Temporary shock Type of economy transit Transition countries 0.661** (0.268) 0.673** (0.263) Data characteristics quart Quarterly data horiz Horizon after shock -0.575** (0.239) 0.018* (0.010) -0.535** (0.241) 0.018* (0.009) • A longer horizon of measurement yields significantly higher multipliers • Studies using quarterly data report significantly lower multipliers compared to studies using annual data • Multipliers from a temporary shock are lower than multipliers from a permanent shock • Fiscal policy in transition countries appears to be more effective than in advanced economies although the results are not stable across different specifications Table 4: Total sample results- different specification (WLS and cluster-robust SEs) Group Variables indebt open er MV for augmented models employ lmi recc exp fincrisis Description Baseline model (1)a Indebtedness of the -0.159 country (0.102) Openness -0.470*** (0.162) Exchange rate 0.251* (0.153) Employment 0.063 (0.116) Labour market 0.595*** institutions (0.125) Multipliers estimated -0.198 assuming reccesion (0.332) Multipliers estimated -0.406** assuming expansion (0.209) Multipliers estimated 0.362 assuming financial crisis (0.331) Preferred model (2)b -0.171 (0.104) -0.499*** (0.163) 0.279* (0.133) 0.049 (0.116) 0.579*** (0.126) -0.273 (0.293) -0.484** (0.212) • Primary studies controlling for the degree of openness, type of exchange rate and labour market characteristics, yield significantly different estimates compared to conventional studies • The multipliers estimated for expansion periods are smaller Table 4: Total sample results- different specification (WLS and cluster-robust SEs) Group Primary data Variables Description epl tud Employment protection rate Trade union density brr Benefit replacement rate coor Wage coordination ir Interest rate impgdp Import/GDP credgdp Domestic credit/GDP debtgdp Debt/GDP Baseline model (1)a 0.029 (0.067) -0.001 (0.004) 0.566 (0.481) 0.058 (0.072) -0.002 (0.024) -0.013** (0.005) 0.000 (0.002) 0.002 (0.002) Preferred model (2)b 0.043 (0.066) -0.000 (0.004) 0.788* (0.440) 0.059 (0.077) -0.002 (0.023) -0.013** (0.005) 0.001 (0.002) 0.003 (0.002) • Primary (contextual) variables: • All models: • Openness channel is an important determinant of the multiplier • A difference between economies of 30pp implies a difference in multiplier of 0.39 • Preferred model: • The replacement ratio also affects the value of the multiplier • A difference between economies of 0.10 implies a difference in multiplier of 0.08 ‘True’ multiplier Study characteristics (other factors held constant) Study estimated by SEE (incr=0; tempor=0; transit=0; quart=0; horiz=mean; primary data=mean) Study estimated by VAR (incr=0; tempor=0; transit=0; quart=0; horiz=mean; primary data=mean) Fiscal impulse is CONSUMPTION (incr=1; tempor=0; transit=0; quart=0; horiz=mean; primary data=mean) Fiscal impulse is INVESTMENT (incr=0; tempor=0; transit=0; quart=0; horiz=mean; primary data=mean) Fiscal impulse is MILITARY SPENDING (incr=0; tempor=0; transit=0; quart=0; horiz=mean; primary data=mean) Fiscal impulse is TAX SHOCK (incr=0; tempor=0; transit=0; quart=0; horiz=mean; primary data=mean) Fiscal impulse is PUBLIC EMPLOYMENT (incr=0; tempor=0; transit=0; quart=0; horiz=mean; primary data=mean) Study estimated by SEE, fiscal impulse is NOTSPE, (incr=1; tempor=1; exp=1; quart=1; japan=1) Study estimated by SEE, fiscal impulse is TAX, (incr=1; tempor=1; exp=1; quart=1; japan=1) Study estimated by SEE, fiscal impulse is TAX, (incr=1; tempor=1; transit=0; quart=1; horiz=mean; primary data=mean) Study estimated by VAR, fiscal impulse is TAX, (incr=1; tempor=1; transit=0; quart=1; horiz=mean; primary data=mean) Study estimated by VAR, fiscal impulse is TAX, (incr=0; tempor=1; exp=1; quart=1; horiz=mean; primary data=mean) Combined effect t-stat p-value CI 1.549 3.67 0.001 0.70;2.39 2.423 4.75 0.000 1.4;3.44 3.041 6.09 0.000 2.03;4.04 2.995 5.83 0.000 1.96;4.02 2.294 3.81 0.000 1.08;3.5 1.934 4.17 0.000 1;2.86 2.508 3.98 0.000 1.24;3.76 -1.504 -2.64 0.011 -2.64;-0.36 -1.957 -3.38 0.001 -3.11;-0.79 -0.627 -2.41 0.02 -1.15;-0.10 0.25 2.01 0.049 0.001;0.49 -0.003 -0.02 0.459 -0.34;0.76 Main findings • The heterogeneity of the reported multipliers arises from many study characteristics • Structural characteristics: – Openness channel - very large – Replacement ratio - smaller but still substantial • There is no true multiplier – the multiplier is time and state dependent Thank you!