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The Limiting Distribution of Extremal Exchange Rate Returns

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  • Hols, Martien C A B
  • de Vries, Casper G

Abstract

Several nonnested fat-tailed distributions have been advocated for modeling exchange rate reurns. Instead of directly estimating these nonnested distributions the authors investigate the extremal distribution of the returns. The advantage is that the parameter which characterizes the amount of tail fatness can be estimated without maintaining a specific distribution, and hence enables one to test hypotheses. The parameter of the limit law is estimated by employing nonparametric procedures based on order statistics. The appropriateness of these procedures is assessed. Given this estimate one can derive bounds on the returns for very low probabilities on an excess. Such information is useful in evaluating the volatility of exchange rates. Copyright 1991 by John Wiley & Sons, Ltd.

Suggested Citation

  • Hols, Martien C A B & de Vries, Casper G, 1991. "The Limiting Distribution of Extremal Exchange Rate Returns," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(3), pages 287-302, July-Sept.
  • Handle: RePEc:jae:japmet:v:6:y:1991:i:3:p:287-302
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    1. Lluch, Constantino, 1973. "The extended linear expenditure system," European Economic Review, Elsevier, vol. 4(1), pages 21-32, April.
    2. Phlips, Louis, 1972. "A Dynamic Version of the Linear Expenditure Model," The Review of Economics and Statistics, MIT Press, vol. 54(4), pages 450-458, November.
    3. Bergstrom, A.R., 1984. "Continuous time stochastic models and issues of aggregation over time," Handbook of Econometrics,in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 20, pages 1145-1212 Elsevier.
    4. Anderson, G J & Blundell, R W, 1982. "Estimation and Hypothesis Testing in Dynamic Singular Equation Systems," Econometrica, Econometric Society, vol. 50(6), pages 1559-1571, November.
    5. Bergstrom, A. R., 1986. "The Estimation of Open Higher-Order Continuous Time Dynamic Models with Mixed Stock and Flow Data," Econometric Theory, Cambridge University Press, vol. 2(03), pages 350-373, December.
    6. Gordon Fisher & Michael McAleer & Diana Whistler, 1981. "Interest Rates and Durability in the Linear Expenditure Family," Canadian Journal of Economics, Canadian Economics Association, vol. 14(2), pages 331-341, May.
    7. Chambers, Marcus J., 1990. "Forecasting with demand systems : A comparative study," Journal of Econometrics, Elsevier, vol. 44(3), pages 363-376, June.
    8. Bergstrom, A. R., 1985. "The Estimation of Parameters in Nonstationary Higher Order Continuous-Time Dynamic Models," Econometric Theory, Cambridge University Press, vol. 1(03), pages 369-385, December.
    9. Bergstrom, A.R., 1987. "Optimal control in wide-sense stationary continuous-time stochastic models," Journal of Economic Dynamics and Control, Elsevier, vol. 11(3), pages 425-443, September.
    10. Peter B. Dixon & Constantino Lluch, 1977. "Durable Goods in the Extended Linear Expenditure System," Review of Economic Studies, Oxford University Press, vol. 44(2), pages 381-384.
    11. Hall, A D & McAleer, Michael, 1989. "A Monte Carlo Study of Some Tests of Model Adequacy in Time Series Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(1), pages 95-106, January.
    12. Anderson, Gordon & Blundell, Richard, 1984. "Consumer Non-Durables in the U.K. A Dynamic Demand System," Economic Journal, Royal Economic Society, vol. 94(376a), pages 35-44, Supplemen.
    13. Bergstrom, Albert Rex, 1983. "Gaussian Estimation of Structural Parameters in Higher Order Continuous Time Dynamic Models," Econometrica, Econometric Society, vol. 51(1), pages 117-152, January.
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