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A generalized impulse control model of cash management

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  • Bar-Ilan, Avner
  • Perry, David
  • Stadje, Wolfgang

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  • Bar-Ilan, Avner & Perry, David & Stadje, Wolfgang, 2004. "A generalized impulse control model of cash management," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1013-1033, March.
    • Handle: RePEc:eee:dyncon:v:28:y:2004:i:6:p:1013-1033
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    1. Merton H. Miller & Daniel Orr, 1966. "A Model of the Demand for Money by Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 80(3), pages 413-435.
    2. Grossman, Sanford J & Laroque, Guy, 1990. "Asset Pricing and Optimal Portfolio Choice in the Presence of Illiquid Durable Consumption Goods," Econometrica, Econometric Society, vol. 58(1), pages 25-51, January.
    3. J. Michael Harrison & Thomas M. Sellke & Allison J. Taylor, 1983. "Impulse Control of Brownian Motion," Mathematics of Operations Research, INFORMS, vol. 8(3), pages 454-466, August.
    4. Avner Bar-Ilan & Agnès Sulem, 1995. "Explicit Solution of Inventory Problems with Delivery Lags," Mathematics of Operations Research, INFORMS, vol. 20(3), pages 709-720, August.
    5. Bar-Ilan, Avner & Strange, William C, 1996. "Investment Lags," American Economic Review, American Economic Association, vol. 86(3), pages 610-622, June.
    6. Samuel Bentolila & Giuseppe Bertola, 1990. "Firing Costs and Labour Demand: How Bad is Eurosclerosis?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 381-402.
    7. Bar-Ilan, Avner, 1990. "Overdrafts and the Demand for Money," American Economic Review, American Economic Association, vol. 80(5), pages 1201-1216, December.
    8. 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.
    9. Jacob A. Frenkel & Boyan Jovanovic, 1980. "On Transactions and Precautionary Demand for Money," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(1), pages 25-43.
    10. Andrew Caplin & John Leahy, 1991. "State-Dependent Pricing and the Dynamics of Money and Output," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 683-708.
    11. Ben-Bassat, Avraham & Gottlieb, Daniel, 1992. "Optimal international reserves and sovereign risk," Journal of International Economics, Elsevier, vol. 33(3-4), pages 345-362, November.
    12. Bar-Ilan, A. & Sulem, A., 1991. "Explicit Solution in Inventory Problems with Delivery Lags," Papers 5-91, Tel Aviv - the Sackler Institute of Economic Studies.
    13. Frenkel, Jacob A & Jovanovic, Boyan, 1981. "Optimal International Reserves: A Stochastic Framework," Economic Journal, Royal Economic Society, vol. 91(362), pages 507-514, June.
    14. Chang, Fwu-Ranq, 1999. "Homogeneity and the Transactions Demand for Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(4), pages 720-730, November.
    15. Søren Asmussen & David Perry, 1998. "An Operational Calculus for Matrix-Exponential Distributions, with Applications to a Brownian (q, Q) Inventory Model," Mathematics of Operations Research, INFORMS, vol. 23(1), pages 166-176, February.
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    Cited by:

    1. Bar-Ilan, Avner & Marion, Nancy P. & Perry, David, 2007. "Drift control of international reserves," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 3110-3137, September.
    2. Alvarez, Fernando & Lippi, Francesco, 2013. "The demand of liquid assets with uncertain lumpy expenditures," Journal of Monetary Economics, Elsevier, vol. 60(7), pages 753-770.
    3. Haolin Feng & Kumar Muthuraman, 2010. "A Computational Method for Stochastic Impulse Control Problems," Mathematics of Operations Research, INFORMS, vol. 35(4), pages 830-850, November.
    4. W. Allard Bruinshoofd & Clemens Kool, 2009. "Nonlinear target adjustment in corporate liquidity management: an endogenous thresholds approach," Applied Economics, Taylor & Francis Journals, vol. 41(17), pages 2125-2131.
    5. Bar-Ilan, Avner & Marion, Nancy, 2013. "Demand for cash with intra-period endogenous consumption," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2668-2678.
    6. Fernando Alvarez & Francesco Lippi & Roberto Robatto, 2019. "Cost of Inflation in Inventory Theoretical Models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 32, pages 206-226, April.
    7. 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.
    8. Gupta, Sushil & Dutta, Kaushik, 2011. "Modeling of financial supply chain," European Journal of Operational Research, Elsevier, vol. 211(1), pages 47-56, May.
    9. Ning Cai & Xuewei Yang, 2021. "A Computational Approach to First Passage Problems of Reflected Hyperexponential Jump Diffusion Processes," INFORMS Journal on Computing, INFORMS, vol. 33(1), pages 216-229, January.
    10. Ágoston, Kolos Cs. & Benedek, Gábor & Gilányi, Zsolt, 2016. "Pareto improvement and joint cash management optimisation for banks and cash-in-transit firms," European Journal of Operational Research, Elsevier, vol. 254(3), pages 1074-1082.
    11. Tamas Briglevics & Scott Schuh, 2013. "U.S. consumer demand for cash in the era of low interest rates and electronic payments," Working Papers 13-23, Federal Reserve Bank of Boston.
    12. W. Allard Bruinshoofd & Clemens Kool, 2009. "Nonlinear target adjustment in corporate liquidity management: an endogenous thresholds approach," Applied Economics, Taylor & Francis Journals, vol. 41(17), pages 2125-2131.
    13. Luis Alvarez & Teppo Rakkolainen, 2009. "Optimal payout policy in presence of downside risk," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(1), pages 27-58, March.
    14. Zhengyan Wang & Guanghua Xu & Peibiao Zhao, 2019. "Optimal Uncertain Controls for Cash Holding Problems," Mathematics, MDPI, vol. 7(11), pages 1-12, November.
    15. Bayraktar, Erhan & Egami, Masahiko, 2007. "The effects of implementation delay on decision-making under uncertainty," Stochastic Processes and their Applications, Elsevier, vol. 117(3), pages 333-358, March.
    16. Stefano Baccarin, 2013. "Optimal Consumption of a Generalized Geometric Brownian Motion with Fixed and Variable Intervention Costs," Working papers 021, Department of Economics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    17. Luis H. R. Alvarez & Teppo A. Rakkolainen, 2007. "Optimal Dividend Control in Presence of Downside Risk," Discussion Papers 14, Aboa Centre for Economics.
    18. Greene, Clinton A., 2010. "Smooth-adjustment econometrics and inventory-theoretic money management," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1031-1047, June.
    19. Yonit Barron, 2022. "A probabilistic approach to the stochastic fluid cash management balance problem," Annals of Operations Research, Springer, vol. 312(2), pages 607-645, May.
    20. García Cabello, Julia, 2017. "The future of branch cash holdings management is here: New Markov chains," European Journal of Operational Research, Elsevier, vol. 259(2), pages 789-799.
    21. Alain Bensoussan & Benoît Chevalier-Roignant, 2019. "Sequential Capacity Expansion Options," Operations Research, INFORMS, vol. 67(1), pages 33-57, January.
    22. Barron, Yonit, 2023. "A stochastic card balance management problem with continuous and batch-type bilateral transactions," Operations Research Perspectives, Elsevier, vol. 10(C).
    23. Sandun Perera & Winston Buckley & Hongwei Long, 2018. "Market-reaction-adjusted optimal central bank intervention policy in a forex market with jumps," Annals of Operations Research, Springer, vol. 262(1), pages 213-238, March.

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