Juan A. Rojas’s research while affiliated with Banco de España and other places

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Publications (16)


The crisis in Spain: Origins and developments
  • Article

October 2011

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51 Reads

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5 Citations

Angel Gavilán

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Juan A. Rojas

The financial crisis of 2007–10 has presented a number of key policy challenges for those concerned with the long-term stability of the euro area. It has shown that price stability as provided by the European Central Bank is not enough to guarantee financial stability, and exposed fault lines in governance and deficiencies in the architecture of the financial supervisory and regulatory framework. This book addresses these and other issues, including why the crisis affected some countries more than others, whether the euro is still attractive for new EU states, and what policy changes and structural reforms, both macro and micro, should be undertaken to ensure its future viability. Written by a team of leading academic and central bank economists, the book also includes chapters on the cross-country incidence of the crisis, the Irish crisis and ECB monetary policy during the crisis, and studies on Spain, the Baltics, Slovakia and Slovenia.


Figure 2. Interest rate scenarios. 
Table 4 : Role of fiscal policy Model (year 2008) Benchmark Fiscal Scenario #1 Fiscal Scenario #2
Figure 5. Dependency ratio. 
Fiscal Policy, Structural Reforms and External Imbalances: A Quantitative Evaluation for Spain
  • Article
  • Full-text available

April 2011

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114 Reads

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59 Citations

SSRN Electronic Journal

This paper builds a large overlapping generations model of a small open economy featuring imperfect competition in the labor and product markets to understand i) which were the main determinants of the large expansionary phase experienced in Spain from the mid-1990s until the arrival of the global financial crisis in 2007-2008, ii) what role fiscal policy and structural reforms could have played to avoid the build-up of large external imbalance over this period, and iii) how these policies could affect the recovery of economic activity in Spain after the crisis. Our results indicate that falling interest rates and demographic changes were the main drivers of the Spanish expansionary phase. As for the macroeconomic behavior of the Spanish economy after the crisis, our results suggest that a front-loading in fiscal consolidation together with structural reforms that eliminate distortions in the goods and labor markets could make the recovery of economic activity in Spain more successful.

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Solving Portfolio Problems with the Smolyak-Parameterized Expectations Algorithm

March 2009

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22 Reads

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44 Citations

SSRN Electronic Journal

We propose a new numerical method to solve stochastic models that combines the parameterized expectations (PEA) and the Smolyak algorithms. This method is especially convenient to address problems with occasionally binding constraints (a feature inherited from PEA) and/or a large number of state variables (a feature inherited from Smolyak), i.e. DSGE models that incorporate portfolio problems and incomplete markets. We describe the proposed Smolyak-PEA algorithm in the context of a one-country stochastic neoclassical growth model and compare its accuracy with that of a standard PEA collocation algorithm. Despite estimating fewer parameters, the former is able to reach the high accuracy levels of the latter. We further illustrate the working of this algorithm in a two-country neoclassical model with incomplete markets and portfolio choice. Again, the Smolyak-PEA algorithm approximates the solution of the problem with a high degree of accuracy. Finally, we show how this algorithm can efficiently incorporate both occasionally binding constraints and a partial information approach.


Social Security Reform with Imperfect Substitution between Less and More Experienced Workers

January 2009

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11 Reads

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28 Citations

SSRN Electronic Journal

We introduce a new hybrid approach to joint estimation of Value at Risk (VaR) and Expected Shortfall (ES) for high quantiles of return distributions. We investigate the relative performance of VaR and ES models using daily returns for sixteen stock market indices (eight from developed and eight from emerging markets) prior to and during the 2008 financial crisis. In addition to widely used VaR and ES models, we also study the behavior of conditional and unconditional extreme value (EV) models to generate 99 percent confidence level estimates as well as developing a new loss function that relates tail losses to ES forecasts. Backtesting results show that only our proposed new hybrid and Extreme Value (EV)-based VaR models provide adequate protection in both developed and emerging markets, but that the hybrid approach does this at a significantly lower cost in capital reserves. In ES estimation the hybrid model yields the smallest error statistics surpassing even the EV models, especially in the developed markets.


Foreign Direct Investment and Spillovers: Gradualism May Be Better

August 2008

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70 Reads

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12 Citations

Canadian Journal of Economics/Revue Canadienne d`Economique

The standard argument says that in the presence of positive spillovers foreign direct investment should be promoted and subsidized. In contrast, this paper claims that the very existence of spillovers may require temporarily restricting FDI. Our argument is based on two features of spillovers: they are limited by the economy's absorptive capacity and they take time to materialize. By letting in capital more gradually, initial investment has the time to create spillovers – and upgrade the economy's absorptive capacity – before further investment occurs. The economy converges to a steady state with a superior technology and a greater capital stock. L’argument conventionnel suggère que l’investissement direct de l’étranger (IDE) devrait être promu et subventionné si des effets de retombée positifs existent. A contrario, ce mémoire suggère que l’existence même de ces retombées peut nécessiter qu’on restreigne temporairement les IDE. Cette argumentation se fonde sur deux caractéristiques des retombées: ces retombées sont limitées par la capacité de l’économie réceptrice à les absorber, et elles prennent du temps à se matérialiser. En laissant entrer ce capital graduellement, l’investissement initial a le temps de créer des retombées – et d’améliorer la capacité d’absorption de l’économie nationale – avant que d’autres investissements se produisent. L’économie nationale converge alors vers un régime permanent doté d’une technologie supérieure et d’un stock de capital plus important.


Modelling the Impact of Ageing on Social Security Expenditures

March 2008

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141 Reads

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162 Citations

Economic Modelling

Chile has been at the forefront of pension reform, having switched in 1980 from a pay-as-you-go system to a fully funded privatized accounts system. The Chilean system served as a model for reform in many other Latin American countries and has also been considered by U.S. policy makers as a possible prototype for social security reform. Some of the criticisms of the Chilean system are low coverage rates and contributions rates among certain segments of the population. In 2006, the Chilean government proposed some reforms aimed at increasing coverage and contribution rates and expanding the safety net provided by the system to poor households. This study evaluates how changes in pension system rules affect working behavior and pension contribution patterns using data from a new Chilean household survey administered in 2002 and 2004 linked with administrative data from the pension regulatory agency. It develops and estimates a dynamic model of decision-making about working in the covered or uncovered sectors of the economy and studies implications for pension accumulations. The estimated model is used to simulate behavior under different pension system rules, such as a change in the number of years of contributions required for the minimum pension or a change in pension plan fees.


Social Security Reform with Uninsurable Income Risk and Endogenous Borrowing Constraints

January 2008

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147 Reads

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54 Citations

Review of Economic Dynamics

We study the effects of a social security reform in a large overlapping generations model where markets are incomplete and households face uninsurable idiosyncratic income shocks. We depart from the previous literature by assuming that, because of lack of commitment in the credit market, the borrowing constraint in the unique asset is endogenously determined by individuals' incentives to default on previous debts. In our model, after the reform the incentives to default are lower and consequently households face more relaxed borrowing limits, leading to an increase in debt and a reduction in the size of precautionary savings. However, the quantitative impact of this mechanism on stationary aggregate savings is small. Computing the transitional dynamics for the basic model following the social security reform we obtain important welfare gains for workers at the bottom of the income distribution (equivalent to 1.3% of consumption each period) associated to the relaxation of the endogenous borrowing constraints, which are missed in an environment with fixed borrowing limits. (Copyright: Elsevier)


On the Aggregate Effects of Immigration in Spain

January 2007

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49 Reads

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74 Citations

Journal of the Spanish Economic Association

Chile has been at the forefront of pension reform, having switched in 1980 from a pay-as-you-go system to a fully funded privatized accounts system. The Chilean system served as a model for reform in many other Latin American countries and has also been considered by U.S. policy makers as a possible prototype for social security reform. Some of the criticisms of the Chilean system are low coverage rates and contributions rates among certain segments of the population. In 2006, the Chilean government proposed some reforms aimed at increasing coverage and contribution rates and expanding the safety net provided by the system to poor households. This study evaluates how changes in pension system rules affect working behavior and pension contribution patterns using data from a new Chilean household survey administered in 2002 and 2004 linked with administrative data from the pension regulatory agency. It develops and estimates a dynamic model of decision-making about working in the covered or uncovered sectors of the economy and studies implications for pension accumulations. The estimated model is used to simulate behavior under different pension system rules, such as a change in the number of years of contributions required for the minimum pension or a change in pension plan fees.


Modeling the Impact of Aging on Social Security Expenditures

January 2006

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10 Reads

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7 Citations

SSRN Electronic Journal

In this paper we survey the features of different approaches available in the literature used to study the effects of the aging of the population on Social Security expenditures. We comment on the weaknesses and strengths of each of them, and perform a quantitative analysis by comparing the results they imply in the particular case of the Spanish economy. Finally, we highlight some elements of the modelling strategies on which more evidence is needed for a correct evaluation of the problem at hand.


Life-cycle earnings, cohort size effects and social security: A quantitative exploration

February 2005

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32 Reads

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47 Citations

Journal of Public Economics

We introduce a new hybrid approach to joint estimation of Value at Risk (VaR) and Expected Shortfall (ES) for high quantiles of return distributions. We investigate the relative performance of VaR and ES models using daily returns for sixteen stock market indices (eight from developed and eight from emerging markets) prior to and during the 2008 financial crisis. In addition to widely used VaR and ES models, we also study the behavior of conditional and unconditional extreme value (EV) models to generate 99 percent confidence level estimates as well as developing a new loss function that relates tail losses to ES forecasts. Backtesting results show that only our proposed new hybrid and Extreme Value (EV)-based VaR models provide adequate protection in both developed and emerging markets, but that the hybrid approach does this at a significantly lower cost in capital reserves. In ES estimation the hybrid model yields the smallest error statistics surpassing even the EV models, especially in the developed markets.


Citations (13)


... According to the same European Commission's projections, the ratio of contributors to pensioners will fall from 1.91 in 2015 to 1.2 in 2050. For these reasons, in recent years several studies have highlighted the need to implement reforms in the system (see for example Conde-Ruiz and Alonso (2004), Jimeno et al. (2008), Díaz-Giménez and Díaz-Saavedra (2009), Sánchez-Martín (2010)). ...

Reference:

A Revision of the revaluation Index of Spanish Pensions
Modeling the Impact of Aging on Social Security Expenditures
  • Citing Article
  • January 2006

SSRN Electronic Journal

... A political view thus predominates in the determination of interest rates. Interestingly, this analysis is found in authors of a varied ideological origin, both from neoclassical economics (Estrada et al. 2009;Gavilán et al. 2011), the Austrian school (Vara 2009), and even heterodox currents (Febrero and Bermejo 2013;Muñoz-de-Bustillo 2014). ...

The crisis in Spain: Origins and developments
  • Citing Article
  • October 2011

... .Izquierdo et al. (2010) analizan la contribución de la inmigración al crecimiento económico y al comportamiento del sistema de pensiones durante la primera década del siglo XXI con un modelo que incluye costes de ajuste del capital pero que es, en conjunto, algo más estilizado que el utilizado en este trabajo pues supone que la edad de jubilación es exógena y recoge en menor detalle el funcionamiento del sistema español de pensiones.Gavilan et al. (2008) descomponen el crecimiento en el intervalo 1998-2008 utilizando un modelo OLG de economía abierta con rasgos "Neo-Keynesianos" (competencia monopolística en los mercados de trabajo y de bienes).4. Díaz Giménez y Díaz consideran un decisor individual mientras que en este trabajo se modelizan hogares de dos miembros y su proceso de supervivencia. ...

ON THE AGGREGATE EFFECTS OF IMMIGRATION IN SPAIN 2007

... The method is well established and has been used to analyse reforms in a number of countries. The literature includes case studies of countries such as Italy by Magnani (2011), Brazil by Ferreira (2005), Germany by Fehr and Jess (2007), Spain by Rojas (2005), France by Legendre (2010) and USA by Fuster, İmrohoroğlu and İmrohoroğlu (2007) and De Nardi, İmrohoroğlu and Sargent (1999). Given the PAYG nature of the Turkish system, the method is appropriate for the analysis to be conducted. ...

Life-cycle Earnings, Cohort Size Eects and Social Security: A Quantitative Exploration
  • Citing Article

... In Aguiar and Gopinath (2007) a negative shock to trend growth leads to a fall in consumption and an increase in the trade balance. 4 TFP shocks are certainly important in emerging markets, but they do not seem to explain the dynamics of euro area countries during the great recession (see Gavilán et al. (2011) on this issue as well as the role of demographic factors in Spain). Countries hit by sudden stops (Greece, Ireland, Italy, Spain, Portugal) do not experience the largest reversals in trend TFP growth, and there is no correlation between changes in TFP growth and employment losses during the recession (see figure (15) in Appendix B.1). ...

Fiscal Policy, Structural Reforms and External Imbalances: A Quantitative Evaluation for Spain

SSRN Electronic Journal

... This can be explained by the nature of industrial technologies with larger fixed and lower marginal costs, which become more productive the larger the scale of production; however, more importantly, manufacturing also offers special conditions for capital accumulation, which can be more easily realized in a spatially concentrated industry than in spatially dispersed agriculture or labour-intensive services (Hopenhayn and Neumeyer, 2004). The recent dynamic general equilibrium literature provides a more nuanced view of the relationship between industrialization and economic growth (see Desmet et al., 2008). This literature emphasizes that the success of industrial policy depends on a variety of factors, including the level of human capital, technological progress, the quality of institutions, and the presence of market failures. ...

Foreign Direct Investment and Spillovers: Gradualism May Be Better
  • Citing Article
  • August 2008

Canadian Journal of Economics/Revue Canadienne d`Economique

... Still, the impacts of educational investment and social security expenditure on economic growth are both non-monotonicity. Rojas (2004) analyzed the relationship between education investment and social security expenditure. Qiu (2009) demonstrated that social security could narrow the income gap by means of numerical simulation. ...

On the interaction between education and social security
  • Citing Article
  • October 2004

Review of Economic Dynamics

... Further studies have introduced the role of old-age insurance. Scholars have argued that oldage insurance schemes can reduce future uncertainty from the micro perspective, thereby reducing households' precautionary savings and thus boosting current consumption [23][24][25][26][27][28]. Simultaneously, old-age insurance may also increase consumption from a macro perspective. ...

Social Security Reform with Uninsurable Income Risk and Endogenous Borrowing Constraints

Review of Economic Dynamics

... The Smolyak sparse grid method (see Smolyak (1963)) is an efficient method of integrating/interpolating multidimensional functions based on a univariate quadrature rule. This sparse grid method has been widely applied in various applications (see for instance, Garcke & Griebel (2013); Pflüger et al. (2010); John Burkardt (2012)), including numerical integration (see Gerstner & Griebel (1998)), partial differential equations (see Nobile et al. (2008)), economics (see Judd et al. (2014); Heiss & Winschel (2008)), stochastic natural convection problems (see Ganapathysubramanian & Zabaras (2007)), sensitivity analysis (see Buzzard & Xiu (2011)), portfolio problems (see Gavilan Gonzalez & Rojas (2009)) and high dimensional interpolation (see Barthelmann et al. (2000)). Recently, the sparse grid method has been applied to ROMs. ...

Solving Portfolio Problems with the Smolyak-Parameterized Expectations Algorithm
  • Citing Article
  • March 2009

SSRN Electronic Journal

... Hence, it is a country characterized by a significant amount of recent migratory flows in last two decades, when it became the destination of a significant portion of the overall recent immigration to the European Union (OECD 2018a). Immigrants to this country exhibit a high labour participation and immigration flows have had, in fact, very notable impacts on the Spanish economy, including an increase of the flexibility of its labour market and its potential economic growth (Izquierdo et al. 2010;Arce 2010). On the other hand, there is also evidence about the territorial and labour segregation of immigrants in Spain, as immigrants tend to concentrate in particular regions, types of cities and neighbourhoods (Fernández-Huertas et al. 2019;Maza et al. 2013;Pareja-Eastaway 2009). ...

On the Aggregate Effects of Immigration in Spain
  • Citing Article
  • January 2007

Journal of the Spanish Economic Association