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Bayesian Analysis of a Structural Model with Switching Regime

Bayesian Analysis of a Structural Model with Switching Regime
Author: Roland Shami
Publisher: LAP Lambert Academic Publishing
Total Pages: 208
Release: 2010-05
Genre:
ISBN: 9783838363721

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A new class of models based on the innovations form of structural models underlying exponential smoothing methods and a latent Markov switching process is proposed. Firstly, the local level model with a switching drift is introduced where the drift is represented by a variable that evolves according to a Markov chain and describes the change between high and low growth rate periods. One drift coefficient represents the expected rate of growth during an expansion and the other drift coefficient represents the expected rate during a recession. The transition probabilities of the Markov chain are constant. Then, the model is extended to a drift that is dependent on a leading economic indicator which leads to varying transition probabilities. A new Bayesian procedure, using a mixture of forward and backward filtering iterations, is developed to produce exact Bayesian posterior parameter and forecast distributions. The two models are applied to quarterly real US GNP data, considered as the main (coincident) indicator of economic health, to infer and forecast the US business cycle.


Bayesian Analysis in Markov Regime-Switching Models

Bayesian Analysis in Markov Regime-Switching Models
Author: You Beng Koh
Publisher: Open Dissertation Press
Total Pages:
Release: 2017-01-26
Genre:
ISBN: 9781361301050

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This dissertation, "Bayesian Analysis in Markov Regime-switching Models" by You Beng, Koh, 辜有明, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: van Norden and Schaller (1996) develop a standard regime-switching model to study stock market crashes. In their seminal paper, they use the maximum likelihood estimation to estimate the model parameters and show that a two-regime speculative bubble model has significant explanatory power for stock market returns in some observed periods. However, it is well known that the maximum likelihood estimation can lead to bias if the model contains multiple local maximum points or the estimation starts with poor initial values. Therefore, a better approach to estimate the parameters in the regime-switching models is to be found. One possible way is the Bayesian Gibbs-sampling approach, where its advantages are well discussed in Albert and Chib (1993). In this thesis, the Bayesian Gibbs-sampling estimation is examined by using two U.S. stock datasets: CRSP monthly value-weighted index from Jan 1926 to Dec 2010 and S&P 500 index from Jan 1871 to Dec 2010. It is found that the Gibbs-sampling estimation explains the U.S. data better than the maximum likelihood estimation. Moreover, the existing standard regime-switching speculative behaviour model is extended by considering the time-varying transition probabilities which are governed by the first-order Markov chain. It is shown that the time-varying first-order transition probabilities of Markov regime-switching speculative rational bubbles can lead stock market returns to have a second-order Markov regime. In addition, a Bayesian Gibbs-sampling algorithm is developed to estimate the parameters in the second-order two-state Markov regime-switching model. DOI: 10.5353/th_b4852164 Subjects: Bayesian statistical decision theory Markov processes


Econometrics and Structural Change

Econometrics and Structural Change
Author: Lyle D. Broemeling
Publisher: CRC Press
Total Pages: 292
Release: 1986-10-29
Genre: Mathematics
ISBN: 9780824775001

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Bayesian Methods and Markov Switching Models for the Analysis of U.S. Postwar Business Cycle Fluctuations

Bayesian Methods and Markov Switching Models for the Analysis of U.S. Postwar Business Cycle Fluctuations
Author: Jie Li
Publisher:
Total Pages: 112
Release: 2010
Genre: Business cycles
ISBN: 9781124400280

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This dissertation consists of five chapters addressing analytically and empirically U.S. Postwar business cycle fluctuations. Markov Switching models and Bayesian estimation methods are used to investigate United States macroeconomic dynamics in the last 60 years. Chapter 1 introduces the structure of this dissertation. Chapter 2 proposes a dynamic stochastic general equilibrium (DSGE) model with Markov Switching and heteroskedastic shocks to examine the role of agents' beliefs separately from changes in monetary policy in explaining inflation fluctuations. Bayesian analysis is conducted with Markov Switching to support regime switches in the private sector, in the implementation of monetary policy and in the volatility of shocks in the U.S. Postwar economy, which are related to the "Great Inflation", the "Great Moderation" and the 2008 financial crisis. A counterfacutal analysis found that if agents maintained a weak response to macroeconomic dynamics over time, there would be lower inflation during the "Great Inflation". In addition, irrespectively to monetary policy regimes, supply shocks are the main driver of inflation fluctuations, while demand shocks are the main source of changes in the output gap. However, when agents maintain a higher risk aversion towards consumption with a higher slope in the Phillips curve, demand shocks also play a role in driving inflation, even though supply shocks are still the main driver of inflation. Chapter 3 emphasizes on the monetary policy with an investigation on the assumption that policymakers commit to a Taylor rule, using a time-varying inflation-unemployment dynamic model on U.S. economy. This chapter is based on the conjecture that potential policymakers' misperception may be originated from unobserved deviations of unemployment from its natural rate. Five processes are proposed for policymakers' belief under commitment to inflation and unemployment and compare them with a baseline autoregressive process without commitment. The models are estimated using Bayesian techniques. Empirical results are as follows: First, policymakers' belief is very persistent even when it commits to a Taylor-type policy rule. Second, the run-up of U.S. inflation around 1980 can be mostly attributed to policymakers' misperception while the peak surge of inflation in 1974 is possibly a result of non-policy shocks. Third, models with commitment dominate models without commitment, especially in periods of large oscillations in inflation. In particular, when policymakers are committed to respond to a Taylor-type policy rule, the average loss function is considerably reduced over time, thus effectively lessening potential misperceptions. Chapter 4 introduces a simple version of adaptive expectation to a dynamic stochastic general equilibrium (DSGE) model to evaluate the goodness of fitness and forecasting performance on U.S. macroeconomic indicators. Analytical maximum likelihood estimation results represent a DSGE model with adaptive expectation outperforms a DSGE model with rational expectation. In addition to providing a better fit of inflation and output gap in the U.S. Postwar macro economy, a DSGE model with adaptive expectation also leads to redundant lagged inflation in fitting inflation dynamics. Chapter 5 concludes and proposes future extension.