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Time changing effects of external shocks on macroeconomic fluctuations in Peru: empirical application using regime-switching VAR models with stochastic volatility

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Abstract

This article quantifies and analyzes the evolving impact of external shocks on Peru’s macroeconomic fluctuations in 1994Q1–2019Q4. For this purpose, we use a group of models with regime-switching time-varying parameters and stochastic volatility (RS-VAR-SV), as proposed by Chan and Eisenstat (J Appl Econ 33(4):509–532, 2018. https://doi.org/10.1002/jae.2617). The data suggest a model with contemporaneous coefficients and constant lags and intercepts, but with regime-switching variances; and point to the existence of two regimes. The IRFs, FEVDs, and HDs show that: (i) China growth shocks have a higher impact on Peru’s output growth (around 0.8%); (ii) financial shocks contract domestic output growth by 0.3% and domestic monetary policy is synchronized with Fed rate movements; (iii) external shocks explain 35% and 70% of output fluctuations under regimes 1 and 2, respectively; and (iv) China growth shocks contributed 1.0 p.p. to the 1.1-p.p. increase (around 89%) in Peru’s output growth between regimes 1 and 2. Additionally, we validate these results by performing seven robustness exercises consisting in changing priors, reordering variables, changing variables, and using four different specifications for the baseline model.

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... It is important to note that all models include stochastic volatility as it is found to be empirically important: see, e.g., Clark (2011) and Chan and Eisenstat (2018b). For Peruvian evidence, see Ojeda Cunya and , Chávez and Rodríguez (2023) and Rodríguez and Vassallo (2022). ...
... For the 2000s, IPX shocks contribution to the FEVD of GDP increases for all models, passing from 10% to close to 60%. This increase can be explained by higher volatility in external variables before and after the global financial crisis, as argued in Ojeda Cunya and ; see also Chávez and Rodríguez (2023) and Rodríguez and Vassallo (2022). For this period, contribution of GC and GK shocks is reduced to 40%, especially for GK shocks in models 1 and 3 (around 10%), while the contribution of AD shocks is close to 1% and the contribution of TR shocks is close to zero. ...
... The fifth robustness exercise consists in changing growth rate of IPX with another external variable like the growth rate of the S&P GSCI used by Guevara (2018) and Ojeda Cunya and ; see also Chávez and Rodríguez (2023) and Rodríguez and Vassallo (2022). We find that our results for HDs and IRFs for GC and GK shocks are kept unchanged. ...
... The terms of trade play a crucial role in analyzing the evolution of shocks and resulting conditions in the Peruvian economy. Works by Chávez and Rodriguez (2021) and Rodríguez and Vassallo (2021) emphasize the significance of terms of trade for the Peruvian economy and the benefits generated by trade partnerships and connections with major commodity buyers, using Time-Varying Parameter Vector Autoregressive (TVP-VAR) models and stochastic volatility. The authors highlight the importance of investment as a driving and expansive force in the Peruvian economy. ...
... Refer toChávez and Rodriguez (2021) andRodríguez and Vassallo (2021). ...
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Welfare measures and their assessment involve a set of indicators that, as economic thought evolves, are subject to critique. Nonetheless, the ultimate debate focuses on the quality of life and the conditions fostered by each economy. Using data from the period 1993 to 2019, this paper presents an analysis of the current account and terms of trade, highlighting the significance of these variables, as they encompass important flows and contribute to shaping market conditions and the resulting benefits. The study employs both Vector Error Correction (VECM) and Structural Vector Error Correction (SVECM) models to explore the interplay between external dynamics and their effects on the economy. The findings reveal that an export price shock has an expansive effect on investment, yet its impact on savings becomes marginally significant over time. Unexpected shocks on investment are roughly 38% reliant on external factors, of which an average of 32% is attributable to export prices, underscoring the tight correlation between investment and international market dynamics. Notably, the results indicate that external dynamics primarily exert short-term effects. Consequently, despite periods of robust growth, reduced unemployment, and poverty reduction, these indicators have not proven to be sustainable in Peru.
... Moreover, they use a historical decomposition to show that external factors are the main component in output, consumption, private investment, and public expenditure growth (thereby explaining, for instance, the potential output fall in 2000, 2008, and 2013). Finally, Guevara et al. (2023), Chávez and Rodríguez (2023) and Rodríguez et al. (2023) use variations of the TVP-VAR-SV model to show that external shocks are important in Peru's economic activity. This document is part of this type of literature with the aim of providing evidence on the time-varying impact of external shocks on output growth, inflation and interest rate; as well as the role played by the volatility of these shocks. ...
... This indicates that a smooth and continuous change in the variance, the VAR coefficients, and the intercepts are preferable to an abrupt and discrete change, as in the RS models, and therefore we discard them in this study. Chávez and Rodríguez (2023) estimate an extension of the RS-VAR-SV models, with similar results as ours. ...
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This study uses a family of VAR models with time-varying parameters and stochastic volatility (TVP-VAR-SV) to analyze the impact of external shocks on output growth and inflation in Peru in 1992Q1-2017Q1. The statistical relevance of the models is assessed using the deviance information criterion (DIC) and the marginal log-likelihood calculated using the cross-entropy method. The results show that: (i) it is more relevant to introduce SV than TVP; i.e., the best fitting model admits only varying intercepts and SV; and TVP-VAR and CVAR are the least performing models; (ii) the models’ impulse response functions indicate that the impacts from external shocks are different under high inflation, economic crisis, and monetary policy change, with a greater impact in episodes of high uncertainty; (iii) the impact and importance of external shocks have increased over time; and (iv) the results are robust to changes in the priors, the lag structure, order of the variables, the choice of the external variable, and the selection of the variable for domestic economic activity.
... 24 and …nancial crises, both international (Asian crisis, Russian crisis, FX crises in Argentina and Brazil, and the dot-com crash) and domestic (sudden stop in capital ‡ows triggered by the Russian crisis), the local currency depreciated signi…cantly against the dollar. 25 However, the ERPT into import prices for other Latin American economies like Colombia (where transactions dollarization is almost nil) are similar to our …ndings. In this line, Rincón-Castro and Rodríguez-Niño (2018) indicate that ERPT endogeneity to the state of the economy and non-linear nature contribute to explaining its evolution. ...
... The latter are associated with commodities and external in ‡ation. In this regard, Rodríguez et al. (2018), Chávez and Rodríguez (2022), Ojeda Cunya and , and Rodríguez and Vassallo (2022) show evidence of the relevance of external shocks for the economic performance of Peru and Paci…c Alliance countries. In line with Miller (2003), we replace the XPI with the GPIAC, S&P GSCI, copper price, and terms of trade growth rates. ...
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Utilizamos un conjunto de modelos VAR con parámetros variables en el tiempo y volatilidad estocástica (TVP-VAR-SV) para estimar la evolución del efecto traspaso del tipo de cambio (ERPT) a precios para Perú en el periodo 1995Q2-2019Q4. Según dos criterios de selección de Bayesiana, los modelos que mejor se ajustan a los datos permiten que la mayoría de los parámetros y las varianzas evolucionen en el tiempo. Los resultados se dividen en dos partes: (i) los ERPTs a los precios de importación y producción disminuyen significativamente desde el final de la década de 1990 hasta 2008. Sin embargo, desde 2014, ambos ERPTs resurgen considerablemente debido a la depreciación del tipo de cambio asociada con el final de la flexibilización cuantitativa (QE), caída de los precios de las materias primas y eventos políticos globales. Estos hallazgos están en línea con la literatura reciente utilizando modelos TVP-VAR-SV y que enfatizan el resurgimiento del ERTP después de la crisis financiera mundial (GFC); (ii) el ERPT a los precios del consumidor ha declinado constantemente a lo largo de la muestra. Esto está en línea con la existente literatura y se explica por un contexto de baja inflación bajo un régimen de metas explícitas de inflación (IT) y por la fuerte credibilidad del Banco Central. Finalmente, los resultados son robustos a un conjunto de ejercicios de sensibilidad, incluyendo cambios en las variables asociadas con los choques externos y la actividad económica doméstica, así como en los valores de las priors; y una estimación del ERPT para Colombia.
... In recent years, there has been a growing uptake of advanced techniques to address these complex economic challenges. These techniques include modified traditional econometric models, such as vector autoregressive (VAR) with error correction models and co-integration analysis (see, for instance, Chávez and Rodríguez [1]). Bayesian models have also acquired relevance by allowing the incorporation of a priori information and the quantification of parameter uncertainty [2,3]. ...
... Fig. 6 depicts the evolution of GDP FEVDs for horizons 2, 12, and 20, disaggregating uncertainty by shock type. XPI shocks significantly contribute to GDP variability during the commodity price boom and the GFC (2004Q1-2010Q2) Chávez and Rodríguez, 2023;. However, their contribution declines substantially over the rest of the sample. ...
... There is abundant empirical evidence on the role of external shocks in the performance of emerging economies such as Peru, see for example, Rodríguez et al. (2018Rodríguez et al. ( , 2023Rodríguez et al. ( , 2024 and Chávez and Rodríguez (2023). Therefore, in line with Miller (2003), this robustness exercise consists of changing the variable associated with external demand in the baseline model (export prices inflation rate) for the Global Price of Metal Index growth rate. ...
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... This methodology implies revisiting the traditional view that external factors are the main source of macroeconomic fluctuations in EMEs (Calvo et al., 1993;Mendoza, 1995;Kose, 2002;Izquierdo et al., 2007;Rodríguez et al., 2018;Ojeda Cunya and Rodríguez, 2022;Chávez and Rodríguez, 2023;Guevara et al., 2023, among others) in contrast with a body of research that maintains that the impact of external factors on EMEs is overestimated (Lubik and Teo, 2005;Aguirre, 2011;Schmitt-Grohé and Uribe, 2018). We provide evidence to establish whether the impact of external shocks on GDP growth, inflation, and interest rates has evolved over time. ...
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We show that policy uncertainty about how the rising public debt will be stabilized accounts for the lack of deflation in the US economy at the zero lower bound. We first estimate a Markov-switching VAR to highlight that a zero-lower-bound regime captures most of the comovements during the Great Recession: a deep recession, no deflation, and large fiscal imbalances. We then show that a microfounded model that features policy uncertainty accounts for these stylized facts. Finally, we highlight that policy uncertainty arises at the zero lower bound because of a trade-off between mitigating the recession and preserving long-run macroeconomic stability.
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SVAR models that include a single world price (such as the terms-of-trade) predict that world shocks explain a small fraction of movements in domestic output (typically less than 10 percent). This paper presents an empirical framework in which multiple commodity prices transmit world disturbances. Estimates on a panel of 138 countries over the period 1960-2015 indicate that world shocks explain on average 33 percent of output fluctuations in individual economies. This figure doubles when the model is estimated on post 2000 data. The findings reported here suggest that one-world-price specifications significantly underestimate the importance of world shocks for domestic business cycles.
Article
Monetary policy and the private sector behaviour of the U.S. economy are modelled as a time varying structural vector autoregression, where the sources of time variation are both the coefficients and the variance covariance matrix of the innovations. The paper develops a new, simple modelling strategy for the law of motion of the variance covariance matrix and proposes an efficient Markov chain Monte Carlo algorithm for the model likelihood/posterior numerical evaluation. The main empirical conclusions are: (1) both systematic and non-systematic monetary policy have changed during the last 40 years - in particular, systematic responses of the interest rate to inflation and unemployment exhibit a trend toward a more aggressive behaviour, despite remarkable oscillations; (2) this has had a negligible effect on the rest of the economy. The role played by exogenous non-policy shocks seems more important than interest rate policy in explaining the high inflation and unemployment episodes in recent U.S. economic history.
Article
After skyrocketing over the past decade, commodity prices have remained stable or eased somewhat since mid-2011—and most projections suggest they are not likely to resume the upward trend observed in the last decade. This paper analyzes what this turn in the commodity price cycle may imply for output growth in Latin America and the Caribbean. The analysis suggests that growth in the years ahead for the average commodity exporter in the region could be significantly lower than during the commodity boom, even if commodity prices were to remain stable at their current still-high levels. Slower-than-expected growth in China represents a key downside risk. The results caution against trying to offset the current economic slowdown with demand-side stimulus and underscore the need for ambitious structural reforms to secure strong growth over the medium term.
Article
The sources of macroeconomic fluctuations in sub–Saharan African are examined by comparing the CFA franc countries with the non–CFA franc countries. External shocks, especially terms of trade shocks, appear to have a greater influence on fluctuations of output and the real exchange rate in CFA franc countries. This result does not appear to be associated with differences in the economic structure but may reflect the fixed exchange rate regime, which does not (partially) buffer these countries from external shocks. Macroeconomic fluctuations in non–CFA franc countries are similar to those in other developing countries, particularly in Latin America.
Article
This paper studies the macroeconomic impact of financial fragmentation in the euro area by analysing the role of credit supply shocks during the recent pre-crisis, bust, and post-crisis periods. We estimate a time-varying parameter vector autoregression (TVP-VAR) with stochastic volatility à la Primiceri (2005) for euro area countries, and we identify the structural shocks by imposing sign restrictions on impulse response functions based on the theoretical model by Gerali et al. (2010). The results suggest that credit supply shocks have been an important driver of business cycle fluctuations in euro area countries, and that their effects on the economy have generally increased since the recent crisis. More specifically, we find evidence that credit supply shocks contributed positively to output growth during the pre-crisis period and negatively during the downturn in economic activity in 2008-2009 in all the countries considered. In the post-crisis period, by contrast, we observe a strong rise in cross-country heterogeneity, reflecting financial fragmentation in the euro area associated with the sovereign debt crisis and weaker banks’ balance sheets. Although this heterogeneity across euro area countries started to decline around 2012, the contribution of credit supply shocks to GDP growth and credit growth remained negative in most euro area countries in mid-2013 (the end of our sample), suggesting that constraints in the supply of credit continued to weaken economic activity.
Article
This paper employs an approximation that makes a nonlinear term structure model extremely tractable for analysis of an economy operating near the zero lower bound for interest rates. We show that such a model offers an excellent description of the data compared to the benchmark model and can be used to summarize the macroeconomic effects of unconventional monetary policy. Our estimates imply that the efforts by the Federal Reserve to stimulate the economy since July 2009 succeeded in making the unemployment rate in December 2013 1% lower, which is 0.13% more compared to the historical behavior of the Fed.
Article
Shocks to aggregate activity in China have a significant and persistent short-run impact on the price of oil and some base metals. In contrast, shocks to apparent commodity-specific consumption (in part reflecting inventory demand) have no effect on commodity prices. China’s impact on world commodity markets is rising but, perhaps surprisingly, remains smaller than that of the United States. This is mainly due to the dynamics of real activity growth shocks in the U.S, which tend to be more persistent and have larger effects on the rest of the world.
Article
In the context of Bayes estimation via Gibbs sampling, with or without data augmentation, a simple approach is developed for computing the marginal density of the sample data (marginal likelihood) given parameter draws from the posterior distribution. Consequently, Bayes factors for model comparisons can be routinely computed as a by-product of the simulation. Hitherto, this calculation has proved extremely challenging. Our approach exploits the fact that the marginal density can be expressed as the prior times the likelihood function over the posterior density. This simple identity holds for any parameter value. An estimate of the posterior density is shown to be available if all complete conditional densities used in the Gibbs sampler have closed-form expressions. To improve accuracy, the posterior density is estimated at a high density point, and the numerical standard error of resulting estimate is derived. The ideas are applied to probit regression and finite mixture models.
Article
This paper presents a quarterly global model combining individual country vector error-correcting models in which the domestic variables are related to the country-specific foreign variables. The global VAR (GVAR) model is estimated for 26 countries, the euro area being treated as a single economy, over the period 1979–2003. It advances research in this area in a number of directions. In particular, it provides a theoretical framework where the GVAR is derived as an approximation to a global unobserved common factor model. Using average pair-wise cross-section error correlations, the GVAR approach is shown to be quite effective in dealing with the common factor interdependencies and international co-movements of business cycles. It develops a sieve bootstrap procedure for simulation of the GVAR as a whole, which is then used in testing the structural stability of the parameters, and for establishing bootstrap confidence bounds for the impulse responses. Finally, in addition to generalized impulse responses, the current paper considers the use of the GVAR for ‘structural’ impulse response analysis with focus on external shocks for the euro area economy, particularly in response to shocks to the US. Copyright © 2007 John Wiley & Sons, Ltd.
Article
It is argued that in structural vector autoregressive (SVAR) analysis a Markov regime switching (MS) property can be exploited to identify shocks if the reduced form error covariance matrix varies across states. The model setup is formulated and discussed and it is shown how it can be used to test restrictions which are just-identifying in a standard structural vector autoregressive analysis. The approach is illustrated by two SVAR examples which have been reported in the literature and which have features that can be accommodated by the MS structure.
Article
This paper studies the sources of economic fluctuations and their implications for exchange rate regime choice in key Latin American countries. In general, external shocks play a limited role in driving output fluctuations in these countries; this absence of common business cycles undermines the case for fixed exchange rates. On the other hand, although there is some evidence that real exchange rates depreciate in response to adverse external shocks, this depreciation, in turn, tends to contract output in the short run. This suggests that exchange rate rigidity may not be as costly for these economies as conventional economic theory predicts.
Article
We construct estimates of external assets and liabilities for 145 countries for 1970–2004. We describe our estimation methods and key features of the data at the country and global level. We focus on trends in net and gross external positions, and the composition of international portfolios. We document the increasing importance of equity financing and the improvement in the external position for emerging markets, and the differing pace of financial integration between advanced and developing economies. We also show the existence of a global discrepancy between estimated foreign assets and liabilities, and identify the asset categories accounting for this discrepancy.
Article
This paper develops a new and easily implementable necessary and sufficient condition for the exact identification of a Markov-switching SVAR model. The theorem applies to models with both linear and some nonlinear restrictions on the structural parameters. We also derive efficient MCMC algorithms to implement sign and long-run restrictions in Markov-switching SVARs. Using our methods, four well-known identification schemes are used to study whether monetary policy has changed in the euro area since the introduction of the European Monetary Union. We find that models restricted to only time-varying shock variances dominate other models. We find a persistent post-1993 regime that is associated with low volatility of shocks to output, prices, and interest rates. Finally, the output effects of monetary policy shocks are small and uncertain across regimes and models. These results are robust to the four identification schemes studied in this paper
Article
Financial institutions such as banks are ultimately exposed to macroeconomic fluctuations I the countries to which they have exposure, the most acute example being commercial lending to companies whose fortunes fluctuate with aggregate demand. This risk management need for financial institutions motivated us to build a compact global macroeconomic model capable of generating (point as well as density) forecasts for a core set of macroeconomic factors for a set of regions and countries which explicitly allows for interconnections and interdependencies that exist between national and international factors. This paper provides such a global modeling framework; making use of recent advances in the analysis of cointegrating systems. In an unrestricted VAR(p) model in k endogenous variables covering N countries, the number of unknown parameters will be unfeasibly large, of order p(kN-1), requiring a more parsimonious model specification. We first estimate individual country/region specific vector error correcting models, where the domestic macroeconomic variables are related to corresponding foreign variable constructed exclusively to match the international trade pattern of the country under consideration. The individual country models are then combined in a consistent and cohesive manner to generate forecasts for all the variables in the world economy simultaneously. We estimate the model for 26 countries grouped into 11 regions using quarterly data from 1970Q1 to 1999Q1 and shed light on the degree of regional interdependencies by investigating the time profile of the transmission of shocks to one variable in a given country/region to the rest of the world. We then use the estimated global model as the economic engine for generating a conditional loss distribution of a credit portfolio and illustrate the effects of various global risk scenarios on the loss distribution.
Article
This paper analyzes the relevance of external factors in average quarterly GDP growth for 1990-2006 in the seven largest Latin American countries (LAC7). Modeling the relationship between LAC7 GDP and several external factors, it is found that those factors account for a significant share of variance in LAC7 GDP growth, and that external shocks produce significant responses. Likewise, a significant share of recent LAC7 growth performance can be explained by an external factor “tailwind. ” Also evaluated is the impact of deterioration in external financial conditions. Finally, the relevance of these findings for policy evaluation is emphasized. Growth performance, the strength or weakness of macroeconomic fundamentals and the impact of domestic macro and micro policies on growth can only be properly appraised by first filtering out the effects of external factors.
Article
I study whether and how US shocks are transmitted to eight Latin American countries. US shocks are identified using sign restrictions and treated as exogenous with respect to Latin American economies. Posterior estimates for individual and average effects are constructed. US monetary shocks produce significant fluctuations in Latin America, but real demand and supply shocks do not. Floaters and currency boarders display similar output but different inflation and interest rate responses. The financial channel plays a crucial role in the transmission. US disturbances explain important portions of the variability of Latin American macrovariables, producing continental cyclical fluctuations and, in two episodes, destabilizing nominal exchange rate effects. Policy implications are discussed. Copyright © 2005 John Wiley & Sons, Ltd.