Comparing Renewable Energy Policies in EU, US and China: A Bayesian DSGE Model

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Comparing Renewable Energy Policies in EU, US and China: A Bayesian DSGE Model Amedeo Argentiero, Tarek Atalla, Simona Bigerna, Carlo Andrea Bollino, Silvia Micheli, Paolo Polinori 1 st AIEE Energy Symposium Current and Future Challenges to Energy Security 30 November-2 December 2016 - The University of Milan-Bicocca

Goals of the paper Analyze the impact of renewable energy sources (RES) development policies and strategies in the European Union (EU), the United States (US) and China. Evaluate the occurrence of grid parity between RES and fossil fuels in the three economies.

Background How to improve design subsidy regimes that guarantee a proper RES development is a crucial and controversial issue. On the supply side, both organizational innovations and improvement of technological capabilities by research and development activities are determinant for the RES learning process (Horbach et al., 2012; Koseoglu et al., 2013). On the demand side, mechanisms such as subsidies are seen as key remove deployment barriers (Stokes, 2013).

Background Different regions of the world use a wide range of instruments, the most diffused of which is some form of the feed-in tariffs mechanism. Currently, RES in the energy mix for electricity generation account for : 23.2% in the EU 27% policy target by 2030 13.1% in the US 21% policy target by 2030 15% in China 30% policy target by 2030

The model We build a micro-founded dynamic stochastic general equilibrium (DSGE) model, explicitly focusing on the energy and environmental sectors. Structure: one final consumer good; three intermediate goods, i.e., energy, fossil fuels and RES; the Government that subsidizes the RES production through the fiscal revenues collected from environmental tax.

The model The firms University of Perugia Final output, Y t, is produced using inputs of labor, N fg t, private capital, K fg t 1, and energy services, E t (A t fg is total factor productivity ): Y t = A fg fg t N α t E γ fg t K t 1 1 α γ Energy services, E t, is: E t = η ER t ε + (1 η) EF t ε 1 ε with fossil fuels, EF t, RES, ER t, ε = 1 σ between RES and fossil fuels. σ, σ is the elasticity of substitution

The model The firms University of Perugia The fossil fuels sector EF t employs private capital, K ef t 1, labor, N ef t, the stock of fossil fuel S t 1, the total factor productivity A t ef : EF t = A ef ef t N θ t S ς ef t 1 K t 1 1 θ ς The RES sector depends on private capital, K er er t 1, labor, N t, the total factor productivity A t er : ER t = A er er t N ι er t K t 1 1 ι

The model The households and the government University of Perugia Households preferences depend on private consumption C t, labor services, N t that are allocated to final output production N t fg, fossil fuel sector N t ef and RES sector N t er : E 0 Σ t=0 ρ t U t C t, N fg t, N ef er t, N t For government's budget constraint, tax revenues on fossil fuels are equal to the entire amount of the subsidy: τ EF t = μ t ER t Then, optimal conditions that characterize decentralized equilibrium of firms and households is calculated.

Model estimation Method The model parameters have been calibrated on each country annual data from 1980 to 2012 The inferential procedure adopted for the parameters' estimation, the simulation of the time series for the variables and their dynamic responses in the presence of stochastic shocks are based on the Monte Carlo Markow Chains (MCMC) methods

Model estimation The dynamic response of the main variables to stochastic shocks on TFPs and taste shifter are represented by impulse response functions (IRFs) for each country For all of the IRFs, the size of the standard deviations of the stochastic shocks and the variables' responses relate to the posterior-average of the IRFs for each draw of the MCMC algorithm, together with 95% credible intervals

Simulation results A positive technology shock to final output (Figures 1b, 2b, 3b) generates an increase in production and consumption through a positive shift of final goods' supply curves (Figures 1a, 2a, 3a) and productive factors' demand curves in all three economies. In all countries, an increase in TFP generates different growth paths of energy demand (Figures 1c, 2c, 3c) and of both fossil fuel (Figures 1h, 2h, 3h) and RES prices (figures 1i, 2i, 3i). This induces different quantities responses: in the EU and China, the response of final output has almost the same shock size, whereas in the US, final output increases more than final output TFP.

Simulation results EU Impulse Response Functions for a Positive TFP Shocks on Final Output Sector

Simulation results US Impulse Response Functions for a Positive TFP Shocks on Final Output Sector

Simulation results China Impulse Response Functions for a Positive TFP Shocks on Final Output Sector

Simulation results Then, we analyze the price dynamics of RES and fossil fuels, with a 95% confidence interval, in order to estimate the grid parity. The huge variability of the RES price is linked to the high standard deviation of the exogenous shifts of TFP in the RES sector. The achievement of grid parity is endogenously determined. The grid parity is achieved earlier in the EU, then in China and lastly in the US.

1987 1989 1991 1993 1995 1997 1999 2001 2003 2005 2007 2009 2011 2013 2015 2017 2019 2021 2023 2025 2027 2029 2031 2033 2035 2037 2039 2041 2043 University of Perugia Simulation results EU Grid Parity Trends (prices are expressed in euro/kwh) 0,30 lb P oil ub lb P res ub 0,25 0,20 0,15 0,10 0,05 0,00

1987 1989 1991 1993 1995 1997 1999 2001 2003 2005 2007 2009 2011 2013 2015 2017 2019 2021 2023 2025 2027 2029 2031 2033 2035 2037 2039 2041 2043 University of Perugia Simulation results US Grid Parity Trends (prices are expressed in euro/kwh) 0,30 0,25 lb P oil ub lb P res ub 0,20 0,15 0,10 0,05 0,00

1987 1990 1993 1996 1999 2002 2005 2008 2011 2014 2017 2020 2023 2026 2029 2032 2035 2038 2041 2044 University of Perugia Simulation results China Grid Parity Trends (prices are expressed in euro/kwh) 0,30 0,25 lb P oil ub lb P res ub 0,20 0,15 0,10 0,05 0,00

Simulation results To appraise if our model fits real world we have performed several test using main moments and the full distributions. Moments and Distributions Tests (a) -Year 1987-2015 (Obs. = 28) Test oil oil CHN oil US oil EU mean 0.0243 0.0258 0.0232 0.0248 t-test t = -1.1930 t = 0.7461 t = -0.9634 --- P = 0.2429 (b) P = 0.4618 (b) P = 0.3436 (b) st. dev. 0.0118 0.0097 0.0095 0.0121 F-test f = 1.4918 f = 1.5549 f = 0.9501 --- Prob = 0.2959 (c) Prob = 0.2489 (c) Prob = 0.8932 (c) Kolmogorov-Smirnov test K-S = 0.3103 K-S = 0.1724 K-S = 0.2759 --- P-value = 0.079* P-value = 0.703 (d) P-value = 0.154 (d) (a) Simulated regional oil prices do not include regional taxes (euro/kwh), (b) We do not find a statistically significant difference in the means, (c) We do not find a statistically significant difference in the variances ratio, (d) We cannot reject that series do not have the same distribution function, * Significant at 10%; ** significant at 5%; *** significant at 1%.

Simulation results We have paired plotted quantiles of simulated series vs. actual data finding that they are very similar Quantile Quantile plot; Simulated Series vs. Actual Data

Conclusions The estimation results over the period 1995-2012 reveal that assuming an understanding that a carbon tax is required, monetary subsidy to RES producers have different effects for RES long-run development. A final output TFP shock generates a much stronger effect on the production in the US, where the share of energy is higher, than in China and the EU. A shock in RES, instead, produces a higher RES growth in the EU than in the US and China, confirming the validity of the favorable policy attitude towards RES in the EU. There is a noticeable anticipation of achieving grid parity in more flexible economies. Future applications of the model could include its implementation on a full world model, where trade and financial interactions among countries are better modeled, including developing countries.

Thank you for your attention 1 st AIEE Energy Symposium Current and Future Challenges to Energy Security 30 November-2 December 2016 - The University of Milan-Bicocca