Government spending shocks, sovereign risk and the exchange rate regime

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Government spending shocks, sovereign risk and the exchange rate regime Dennis Bonam Jasper Lukkezen

Structure 1. Theoretical predictions 2. Empirical evidence 3. Our model SOE NK DSGE model (Galì and Monacelli, 28) + sovereign risk (á la Davig et al., 21) + sovereign risk pass-through (á la Corsetti et al., 212a) 4. Application: expansionary fiscal contractions 3/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Predictions (base case) Output effects of increase in government consumption: Mundell- Flemming New- Keynesian Mechanisms Crowding out of exports through RER and monetary accomodation. Country openness determines crowding out. Monetary accomodation. Wealth effects. Fix/Flex Flex: Zero output response. Fix: Positive output response. Flex: Positive output response. Fix: Larger positive output response. 4/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Predictions (+ sovereign risk) Government spending increases sovereign risk premium Output effects depend on the ERR: Flex: UIP-condition leads to ER depreciation, supports exports Fix: CB shields households from sovereign risk. No effect. (Corsetti et al., 211; Born et al., 212) 5/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Further insights: sovereign risk private risk Spain Italy Source: Michiel Bijlsma 6/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Predictions (+ sovereign risk + pass-through) Government spending increases sovereign risk premium Output effects depend on the ERR: Flex: UIP-condition leads to ER depreciation, supports exports Fix: CB shields households from sovereign risk. No effect (Corsetti et al., 211; Born et al., 212) Sovereign and private risk are now correlated. Output effects depend on the deterioration of private borrowing conditions: Flex: Reduction in private borrowing leads ER depreciation, higher borrowing cost reduce consumption. Effect on multiplier indeterminate. Fix: Reduction in private borrowing cost not off-set by ER depreciation. Multiplier reduces. (Bouakez and Eyquem, 211; Corsetti et al., 212b) 7/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Empirical strategy Corsetti et al. (212a) estimate effect of exogenous government spending shock of OECD sample using Perotti (1999) s two-step process: 1. Regress lagged economic variables on government consumption, identify the residuals as exogenous policy shocks 2. Regress exogenous policy shocks on economic variables, identify the coefficients as multipliers They find: Output multipliers higher under fix than float Output multipliers lower under sovereign risk We distinguish the effect of sovereign risk under fixed and flexible exchange rates and repeat their analysis Data: 19 OECD countries, 197 onwards 8/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Impulse responses to a government spending shock Unconditional Float versus fix Weak public finances Output Output Output.1.2.3.2.4.2.4.5 1.5 1.5 2 4 6 8 2 4 6 8 2 4 6 8.2.1.1.2 Consumption 2 4 6 8 1.5.5 Consumption 2 4 6 8 1.5.5 1 1.5 Consumption 2 4 6 8 1.5 1.5.5 Real exchange rate 2 4 6 8 3 2 1 1 2 Real exchange rate 2 4 6 8 4 2 2 4 Real exchange rate 2 4 6 8

Empirical results Float vs peg: Output responses of float and fix indistinguishable Consumption rises under float and falls under fix Appreciation of the RER under float Weak public finances: Output response bigger for float Consumption increases under float and decreases under fix Depreciation of the RER under a float 1/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Base case Small open economy New Keynesian model (Galì and Monacelli, 28): Households Firms Monetary policy - Consume domestic and foreign goods - Work domestically and enjoy leisure - Invest in domestic government and international risk free bonds - Intermediate good firms are monopolistically competitive and employ households - Final good firms are perfectly competitive and use intermediate goods - Uses a Taylor rule as a float or fixes the ER 11/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Base case: government Exogenous government consumption G t Financed through lump-sum taxation T t and debt b t Fiscal policy stance φ b given by a Laffer curve ( T 1 T t = φ b b t 1 1 ) b/π π t π b 12/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

+ Sovereign risk Government default mechanism á la Schabert and van Wijnbergen (211): Ex-ante, default is unknown to government and investors, but its probability distribution f is known (anticipation game) Ex-post default depends on a draw b from this distribution If the real debt burden 1 π t R t 1 b t 1 exceeds b default ensues Hence, ex-ante default probability is δ t = 1 πt R t 1 b t 1 f ( b)d b 13/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

+ sovereign risk pass-through Incomplete asset markets State contingent sec s unavailable, just safe foreign bonds Private borrowing conditions and thus consumption decision influenced by sovereign risk Consumption and RER untied now Foreigners lend f t to households with a risk premium Ξ t over the international risk free rate R Risk premium Ξ t depends on public and private debt: ( ) ( ) χ1 f t q t χ2 δ t b Ξ t = Ft exp exp Y Y χ 1 =.17 and χ 2 =.35 (such that 1% additional government debt yields identical risk to 1% additional private risk) 14/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Log-linearization, calibration Usual market clearing conditions Log-linearized around the non-stochastic steady state Calibrated at literature defaults + for a BB-rated sovereign: δ =.2 and Φ =.1 15/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Parameter Description Value η Elasticity between Foreign and Home goods 1.5 α Country openness.6 α Foreign openness with respect to Home.1 σ Inverse of the elasticity of intertemporal substitution 1. ϕ Inverse of the Frisch labour supply elasticity 3. θ Probability of non-price adjustment.75 β Subjective discount factor.99 φ π Monetary policy rule coefficient, flexible exchange rate 1.5 ρ r Nominal interest rate smoothing parameter.8 φ e Monetary policy rule coefficient, fixed exchange rate 1 bn. φ b Fiscal policy rule coefficient.1 ρ g Persistence in government spending innovations.9 b F /(4Y) Steady state real government debt held by Foreign to output ratio.6 f /(4Y) Steady state real household external debt to output ratio.25 G/Y Steady state government consumption to output ratio.25 T/Y Steady state taxes to output ratio.274 C/Y Steady state household consumption to output ratio.75 C /Y Steady state Foreign consumption to output ratio 2. Φ Sovereign default elasticity.1 δ Sovereign default probability.2

Responses to a government spending shock under incomplete asset markets Base case + sovereign risk + pass-through Output.15.15 Output Output.2.1.1.15.1.5.5.5 5 1 5 1 15 2 Consumption x 1 3 5.4.3.2.1 5 1 15 2 Consumption.5.1.15.2.25 5 1 15 2 Consumption 15 5 1 15 2 Real exchange rate.1 5 1 15 2 Real exchange rate.6 5 1 15 2 Real exchange rate.2.2.1.1.4.1.1.2.2.2.3 5 1 15 2.3 5 1 15 2 5 1 15 2

Results Base case Output response larger under fix Consumption declines eventually, but not initially under fixed (!) RER appreciates Base case + sovereign risk Output response larger under float Consumption increases under float Initial RER depreciation under float Base case + sovereign risk + pass-through Output differences widen Consumption decreases for both float and fix RER depreciates 18/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Robustness Does the NER appreciation drive the results? Yes, (peg - float) increases for higher elasticity between H and F Yes, (peg - float) increases for smaller home bias Yes, (peg - float) decreases for higher degree of intertemporal substitution Are expansionary fiscal contractions feasible? Effects become more pronounced with higher default elasticity Φ Effects become more pronounced with higher pass-through χ 2 19/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Expansionary fiscal contractions: Initially yes! Initial output response to fiscal contraction Flexible exchange rates Fixed exchange rates.14 Impact output response.16.18.2.22.1.2.3 Φ.4.25.3.35 χ 2.4.45 Impact output response.3.2.1.1.1 Φ.2.3.25.3.35 χ 2.4.45 2/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Expansionary fiscal contractions: Eventually no! Cumulative output response to fiscal contraction Flexible exchange rates Fixed exchange rates 21/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Conclusion With sovereign risk, output multipliers larger under float due to depreciation (De Grauwe, 212) Perfect capital markets shield households from sovereign risk under fix With pass-through household borrowing conditions are adversely affected by sovereign risk, increasing the output differences between pegs and floats This is an additional cost of a monetary union Expansionary fiscal contractions are possible under fixed ER with sufficient sovereign risk, however only initially. Data provides a poor match for consumption 22/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Thank you for your attention! 23/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Bibliography I Born, B., Jüßen, F., and Müller, G. (212). Exchange rate regimes and fiscal multipliers. CEPR Discussion Papers 8986, CEPR Discussion Papers. Bouakez, H. and Eyquem, A. (211). Government spending, monetary policy, and the real exchange rate. GATE Working Paper, 211. Corsetti, G., Kuester, K., Meier, A., and Müller, G. (212a). Sovereign risk, fiscal policy, and macroeconomic stability. IMF Working Paper, 212. Corsetti, G., Kuester, K., and Müller, G. (211). Floats, pegs and the transmission of fiscal policy. FRB of Philadelphia Working Paper, 211. 24/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Bibliography II Corsetti, G., Meier, A., and Müller, G. J. (212b). What determines government spending multipliers? Economic Policy, 27(72):521 565. Davig, T., Leeper, E. M., and Walker, T. B. (21). "unfunded liabilities" and uncertain fiscal financing. Journal of Monetary Economics, 57(5):6 619. De Grauwe, P. (212). The governance of a fragile eurozone. Australian Economic Review, 45(3):255 268. Galì, J. and Monacelli, T. (28). Optimal monetary and fiscal policy in a currency union. Journal of International Economics, 76(1):116 132. 25/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Bibliography III Perotti, R. (1999). Fiscal policy when things are going badly. Quarterly Journal of Economics, 114(4)(4):1399 1436. Schabert, A. and van Wijnbergen, S. (211). Sovereign default and the stability of inflation targeting regimes. Tinbergen Institute Discussion Papers 11-64/2/ DSF2. 26/23 Gov. spending shocks, sov. risk and the ERR May 24, 213

Float vs. peg: impulse and cumulative output multipliers under sovereign risk η α σ IM CM.7.6.5.4 1 1.5 2.15.14.13.12.11.1 1 1.5 2 IM CM.7.6.5.4.2.4.6.8.18.16.14.12.1.2.4.6.8 IM CM.64.62.6.58.56.54.14.135.13.5 1 1.5.125.5 1 1.5

.2 Complete asset markets, flexible exchange rates: effect of Φ Output Consumption Real exchange rate.6.6.15.1.5 5 1 15 2.4.2.2.4 5 1 15 2.4.2.2.4 5 1 15 2

.8 Φ = Output Incomplete asset markets: effect of Φ φ =.1 Output.4.2 Φ =.4 Output.6.15.2.4.1.2.5.2.1 5 1 15 2 Consumption.5 5 1 15 2 Consumption.4.5 5 1 15 2 Consumption.2.3.4.5 5 1 15 2 Real exchange rate x 1 3 5.1.15.2.25.6 5 1 15 2 Real exchange rate 1 1.5 2 2.5.5 5 1 15 2 Real exchange rate.4 5.4.3 1 15.2.2.1 2 5 1 15 2 5 1 15 2 5 1 15 2

.2 χ 2 =.5 Output Incomplete asset markets: effect of χ 2 χ 2 =.35 Output.2.2 χ 2 =.65 Output.15.1.15.1.15.1.5.5.5.1.1.2.3 5 1 15 2 Consumption.5.1.15.2.25 5 1 15 2 Consumption.5.2.4.6 5 1 15 2 Consumption.4 5 1 15 2 5 1 15 2.8 5 1 15 2.2 Real exchange rate.6 Real exchange rate.2 Real exchange rate.1.4.15.1.1.2.5.2 5 1 15 2 5 1 15 2 5 1 15 2

Parameter Description Value η Elasticity between Foreign and Home goods 1.5 α Country openness.6 α Foreign openness with respect to Home.1 σ Inverse of the elasticity of intertemporal substitution 1. ϕ Inverse of the Frisch labour supply elasticity 3. θ Probability of non-price adjustment.75 β Subjective discount factor.99 φ π Monetary policy rule coefficient, flexible exchange rate 1.5 ρ r Nominal interest rate smoothing parameter.8 φ e Monetary policy rule coefficient, fixed exchange rate 1 bn. φ b Fiscal policy rule coefficient.1 ρ g Persistence in government spending innovations.9 b F /(4Y) Steady state real government debt held by Foreign to output ratio.6 f /(4Y) Steady state real household external debt to output ratio.25 G/Y Steady state government consumption to output ratio.25 T/Y Steady state taxes to output ratio.274 C/Y Steady state household consumption to output ratio.75 C /Y Steady state Foreign consumption to output ratio 2. Φ Sovereign default elasticity.1 δ Sovereign default probability.2 χ 1 Risk premium elasticity w.r.t. household net foreign debt.17 χ 2 Risk premium elasticity w.r.t. sovereign default losses.35