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BOUNDING TAIL PROBABILITIES IN DYNAMIC ECONOMIC MODELS

Published online by Cambridge University Press:  30 December 2011

John Stachurski
John Stachurski*
Affiliation:
Australian National University
*
Address correspondence to: John Stachurski, Research School of Economics, Australian National University, ACT 0200, Australia; e-mail: john.stachurski@anu.edu.au.
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Abstract

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This paper provides conditions for bounding tail probabilities in stochastic economic models in terms of their transition laws and shock distributions. Particular attention is given to conditions under which the tails of stationary equilibria have exponential decay. By way of illustration, the technique is applied to a threshold autoregression model of exchange rates.

Keywords

Tail EventsErgodicityStationary Distributions
Type
Articles
Information
Macroeconomic Dynamics , Volume 16 , Supplement S1: Nonlinear Dynamics in Equilibrium Models , April 2012 , pp. 117 - 126
Copyright
Copyright © Cambridge University Press 2011

References

REFERENCES

Borovkov, Aleksandr A. (1998) Ergodicity and Stability of Stochastic Processes. New York: Wiley.Google Scholar
Duffie, Darrell and Singleton, Kenneth J. (1993) Simulated moments estimation of Markov models of asset prices. Econometrica 61 (4), 929–952.CrossRefGoogle Scholar
Hansen, Bruce (2001) Threshold autoregression with unit root. Econometrica 69 (6), 1555–1596.Google Scholar
Lux, Thomas (1998) The socio-economic dynamics of speculative markets: Interacting agents, chaos, and the fat tails of return distributions. Journal of Economic Behavior and Organization 33 (2), 143–165.CrossRefGoogle Scholar
Mandelbrot, Benoit B. (1963) The variation of certain speculative prices. Journal of Business 36, 394–419.CrossRefGoogle Scholar
Meyn, Sean and Tweedie, Richard L. (2009) Markov Chains and Stochastic Stability, 2nd ed.Cambridge, UK: Cambridge University Press.Google Scholar
Pellicer-Lostao, Carmen and López-Ruiz, Ricardo (2010) A chaotic gas-like model for trading markets. Journal of Computational Science 1 (1), 24–32.CrossRefGoogle Scholar
Rachev, Svetlozar T., ed. (2001) Handbook of Heavy Tailed Distributions in Finance. Elsevier, North-Holland.Google Scholar
Stokey, Nancy L., Lucas, Robert E., and Prescott, Edward C. (1989) Recursive Methods in Economic Dynamics. Cambridge, MA: Harvard University Press.CrossRefGoogle Scholar
Taylor, Alan M. (2001) Potential pitfalls for the purchasing power parity puzzle? Sampling and specification biases in mean-reversion tests of the law of one price. Econometrica 69 (2), 473–498.CrossRefGoogle Scholar