Econometrics

Download Handbook of Financial Econometrics, Volume 2: Applications by Yacine Ait-Sahalia, Lars Peter Hansen PDF

By Yacine Ait-Sahalia, Lars Peter Hansen

Utilized monetary econometrics matters are featured during this moment quantity, with papers that survey vital examine while they make distinct empirical contributions to the literature. those matters are known: portfolio selection, buying and selling quantity, the risk-return tradeoff, alternative pricing, bond yields, and the administration, supervision, and size of maximum and rare hazards. but their remedies are unparalleled, drawing on present facts and proof to mirror contemporary occasions and scholarship. A landmark in its insurance, this quantity should still propel monetary econometric examine for years. offers a large survey of present researchContributors are prime econometriciansOffers a readability of process and rationalization unavailable in different monetary econometrics collections

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3. Parameter Distribution 5. 1. 2. 3. Regime Switching Models 6. Conclusions and Future Directions Acknowledgments References 2 5 5 6 9 9 10 12 14 20 24 24 27 30 31 32 54 63 65 66 66 Abstract This chapter develops Markov Chain Monte Carlo (MCMC) methods for Bayesian inference in continuous-time asset pricing models. The Bayesian solution to the inference problem is the distribution of parameters and latent variables conditional on observed data, and MCMC methods provide a tool for exploring these high-dimensional, complex distributions.

V. All rights reserved. 1 2 Michael Johannes and Nicholas Polson for a range of continuous-time asset pricing models. We include detailed examples for equity price models, option pricing models, term structure models, and regime-switching models. Keywords: continuous-time; Markov Chain Monte Carlo; financial econometrics; Bayesian inference; derivative pricing; volatility; jump diffusions; stochastic volatility; option pricing 1. INTRODUCTION Dynamic asset pricing theory uses arbitrage and equilibrium arguments to derive the functional relationship between asset prices and the fundamentals of the economy: state variables, structural parameters, and market prices of risk.

Roberts and Polson (1994) prove that all Gibbs samplers are geometrically convergent under a minorization condition. For the Metropolis–Hastings algorithm, there are a number of results on the geometric convergence and the results rely on the tail behavior of the target and proposal density. Mengersen andTweedie (1996) show that a sufficient condition for the geometric ergodicity of independence Metropolis–Hastings algorithms is that the tails of the proposal density dominate the tails of the target, which requires that the proposal density q is such that q/π is bounded over the entire support.

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