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Efectos del tipo de cambio sobre el déficit público: modelos de simulación Monte Carlo

Author

Listed:
  • Rodríguez Nava Abigail

    (Universidad Autónoma Metropolitana)

  • Francisco Venegas Martínez

    (Instituto Politécnico Nacional)

Abstract

This paper is aimed at studying the effects of the exchange-rate variations on the budget deficit. To do this, the available deterministic models of budget deficit are extended by assuming that the movements of the exchange rate are driven by stochastic processes, and that the extreme and sudden changes are governed by a Poisson process. The equation that describes the exchange-rate dynamics is building by using an analogy with both the Ornstein-Uhlenbeck and the square root processes. Under the above assumptions and by using Monte Carlo simulations the variations of the peso-dollar exchange rate and the public deficit are estimated for the Mexican economy, between 1990 and 2008. The obtained results are consistent with the empirical evidence found on such a period; this indicates that the suggested methodology can be useful as an ex-ante tool to establish the budget public.

Suggested Citation

  • Rodríguez Nava Abigail & Francisco Venegas Martínez, 2010. "Efectos del tipo de cambio sobre el déficit público: modelos de simulación Monte Carlo," Contaduría y Administración, Accounting and Management, vol. 55(3), pages 11-40, septiembr.
  • Handle: RePEc:nax:conyad:v:55:y:2010:i:3:p:11-40
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    References listed on IDEAS

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    1. Das, Sanjiv R., 2002. "The surprise element: jumps in interest rates," Journal of Econometrics, Elsevier, vol. 106(1), pages 27-65, January.
    2. S. G. Kou, 2002. "A Jump-Diffusion Model for Option Pricing," Management Science, INFORMS, vol. 48(8), pages 1086-1101, August.
    3. Fernando Martin, 2009. "A Positive Theory of Government Debt," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(4), pages 608-631, October.
    4. Domowitz, Ian & Hakkio, Craig S., 1985. "Conditional variance and the risk premium in the foreign exchange market," Journal of International Economics, Elsevier, vol. 19(1-2), pages 47-66, August.
    5. Hakkio, Craig S. & Leiderman, Leonardo, 1986. "Intertemporal asset pricing and the term structures of exchange rates and interest rates: The eurocurrency market," European Economic Review, Elsevier, vol. 30(2), pages 325-344, April.
    6. Blejer, Mario I & Cheasty, Adrienne, 1991. "The Measurement of Fiscal Deficits: Analytical and Methodological Issues," Journal of Economic Literature, American Economic Association, vol. 29(4), pages 1644-1678, December.
    7. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    8. Amin, Kaushik I, 1993. "Jump Diffusion Option Valuation in Discrete Time," Journal of Finance, American Finance Association, vol. 48(5), pages 1833-1863, December.
    9. Wang, Yiming & Tong, Hanfei, 2008. "Modeling and estimating the jump risk of exchange rates: Applications to RMB," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6575-6583.
    10. Alan Sutherland, 2006. "Currency Crises and the Term Structure of Interest Rates," Open Economies Review, Springer, vol. 17(1), pages 57-71, January.
    11. Ahn, Chang Mo & Thompson, Howard E, 1988. " Jump-Diffusion Processes and the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 43(1), pages 155-174, March.
    12. Henry Thompson, 2000. "Foreign Exchange," World Scientific Book Chapters, in: International Economics Global Markets and International Competition, chapter 11, pages 366-404, World Scientific Publishing Co. Pte. Ltd..
    13. Tanzi, Vito, 1980. "Inflationary Expectations, Economic Activity, Taxes, and Interest Rates," American Economic Review, American Economic Association, vol. 70(1), pages 12-21, March.
    14. Michael Johannes, 2004. "The Statistical and Economic Role of Jumps in Continuous-Time Interest Rate Models," Journal of Finance, American Finance Association, vol. 59(1), pages 227-260, February.
    15. Wing H. Chan, 2003. "A correlated bivariate Poisson jump model for foreign exchange," Empirical Economics, Springer, vol. 28(4), pages 669-685, November.
    16. Yoshiyasu Ono & Akihisa Shibata, 2001. "Government spending, interest rates, and capital accumulation in a two-sector model," Canadian Journal of Economics, Canadian Economics Association, vol. 34(4), pages 903-920, November.
    17. Mikhail Chernov & A. Ronald Gallant & Eric Ghysels & George Tauchen, 1999. "A New Class of Stochastic Volatility Models with Jumps: Theory and Estimation," CIRANO Working Papers 99s-48, CIRANO.
    18. Kiani, Khurshid M., 2009. "Federal budget deficits and long-term interest rates in USA," The Quarterly Review of Economics and Finance, Elsevier, vol. 49(1), pages 74-84, February.
    19. Darrell Duffie & Rui Kan, 1996. "A Yield‐Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406, October.
    20. Akgiray, Vedat & Booth, Geoffrey, 1986. "Stock Price Processes with Discontinuous Time Paths: An Empirical Examination," The Financial Review, Eastern Finance Association, vol. 21(2), pages 163-184, May.
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    More about this item

    Keywords

    tipo de cambio; déficit público; procesos estocásticos; simulación Monte Carlo;
    All these keywords.

    JEL classification:

    • E47 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Forecasting and Simulation: Models and Applications
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • E65 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Studies of Particular Policy Episodes

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