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On the existence and uniqueness of the optimal central bank intervention policy in a forex market with jumps

Author

Listed:
  • Sandun Perera

    (University of Michigan–Flint)

  • Winston Buckley

    (Bentley University)

Abstract

We study a central bank intervention (CBI) problem in the foreign exchange market when the exchange rate follows a jump-diffusion process and show that the optimal CBI policy is a control-band policy. Our main contribution is a rigorous proof of the existence and uniqueness of the optimal CBI policy.

Suggested Citation

  • Sandun Perera & Winston Buckley, 2017. "On the existence and uniqueness of the optimal central bank intervention policy in a forex market with jumps," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 877-885, August.
  • Handle: RePEc:pal:jorsoc:v:68:y:2017:i:8:d:10.1057_s41274-017-0208-5
    DOI: 10.1057/s41274-017-0208-5
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    1. Robert P. Flood & Peter M. Garber, 1991. "The Linkage Between Speculative Attack and Target Zone Models of Exchange Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(4), pages 1367-1372.
    2. Richard R. Lumley & Mihail Zervos, 2001. "A Model for Investments in the Natural Resource Industry with Switching Costs," Mathematics of Operations Research, INFORMS, vol. 26(4), pages 637-653, November.
    3. Ralf Korn, 1999. "Some applications of impulse control in mathematical finance," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 50(3), pages 493-518, December.
    4. Bekaert, Geert & Gray, Stephen F., 1998. "Target zones and exchange rates:: An empirical investigation," Journal of International Economics, Elsevier, vol. 45(1), pages 1-35, June.
    5. Paul R. Krugman, 1991. "Target Zones and Exchange Rate Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 669-682.
    6. Renzo G. Avesani & Giampiero M. Gallo, 1991. "Jumping in the Band: Undeclared Intervention Thresholds in a Target Zone," Department of Economics Working Papers 9104, Department of Economics, University of Trento, Italia.
    7. Yao, Dingjun & Yang, Hailiang & Wang, Rongming, 2011. "Optimal dividend and capital injection problem in the dual model with proportional and fixed transaction costs," European Journal of Operational Research, Elsevier, vol. 211(3), pages 568-576, June.
    8. Bertola, Giuseppe & Caballero, Ricardo J, 1992. "Target Zones and Realignments," American Economic Review, American Economic Association, vol. 82(3), pages 520-536, June.
    9. Philippe Jorion, 1988. "On Jump Processes in the Foreign Exchange and Stock Markets," The Review of Financial Studies, Society for Financial Studies, vol. 1(4), pages 427-445.
    10. Ohnishi, Masamitsu & Tsujimura, Motoh, 2006. "An impulse control of a geometric Brownian motion with quadratic costs," European Journal of Operational Research, Elsevier, vol. 168(2), pages 311-321, January.
    11. Froot, Kenneth A. & Obstfeld, Maurice, 1991. "Exchange-rate dynamics under stochastic regime shifts : A unified approach," Journal of International Economics, Elsevier, vol. 31(3-4), pages 203-229, November.
    12. Svensson, Lars E. O., 1991. "The term structure of interest rate differentials in a target zone : Theory and Swedish data," Journal of Monetary Economics, Elsevier, vol. 28(1), pages 87-116, August.
    13. Paul R. Krugman, 1987. "Trigger Strategies and Price Dynamics in Equity and Foreign Exchange Markets," NBER Working Papers 2459, National Bureau of Economic Research, Inc.
    14. Abel Cadenillas & Peter Lakner & Michael Pinedo, 2010. "Optimal Control of a Mean-Reverting Inventory," Operations Research, INFORMS, vol. 58(6), pages 1697-1710, December.
    15. Baccarin, Stefano, 2009. "Optimal impulse control for a multidimensional cash management system with generalized cost functions," European Journal of Operational Research, Elsevier, vol. 196(1), pages 198-206, July.
    16. Marcus Miller & Paul Weller, 1991. "Currency Bands, Target Zones, and Price Flexibility," IMF Staff Papers, Palgrave Macmillan, vol. 38(1), pages 184-215, March.
    17. Ralf Korn, 1997. "Optimal Impulse Control When Control Actions Have Random Consequences," Mathematics of Operations Research, INFORMS, vol. 22(3), pages 639-667, August.
    18. Cadenillas, Abel & Zapatero, Fernando, 1999. "Optimal Central Bank Intervention in the Foreign Exchange Market," Journal of Economic Theory, Elsevier, vol. 87(1), pages 218-242, July.
    19. Mundaca, Gabriela & Oksendal, Bernt, 1998. "Optimal stochastic intervention control with application to the exchange rate," Journal of Mathematical Economics, Elsevier, vol. 29(2), pages 225-243, March.
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