[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/eie/wpaper/1307.html
   My bibliography  Save this paper

The demand of liquid assets with uncertain lumpy expenditures

Author

Listed:
  • Fernando Alvarez

    (University of Chicago)

  • Francesco Lippi

    (University of Sassari and EIEF)

Abstract
We consider an inventory model for a liquid asset where the per-period net expenditures have two components: one that is frequent and small and another that is infrequent and large. We give a theoretical characterization of the optimal management of liquid asset as well as of the implied observable statistics. We use our characterization to interpret some aspects of households’ currency management in Austria, as well as the management of demand deposits by a large sample of Italian investors.

Suggested Citation

  • Fernando Alvarez & Francesco Lippi, 2013. "The demand of liquid assets with uncertain lumpy expenditures," EIEF Working Papers Series 1307, Einaudi Institute for Economics and Finance (EIEF), revised Mar 2013.
    • Handle: RePEc:eie:wpaper:1307
    as

    Download full text from publisher

    File URL: http://www.eief.it/files/2013/03/wp-07-the-demand-of-liquid-assets-with-uncertain-lumpy-expenditures.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. J. Michael Harrison & Michael I. Taksar, 1983. "Instantaneous Control of Brownian Motion," Mathematics of Operations Research, INFORMS, vol. 8(3), pages 439-453, August.
    2. 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.
    3. Orazio P. Attanasio & Luigi Guiso & Tullio Jappelli, 2002. "The Demand for Money, Financial Innovation, and the Welfare Cost of Inflation: An Analysis with Household Data," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 317-351, April.
    4. Lippi, Francesco & Secchi, Alessandro, 2009. "Technological change and the households' demand for currency," Journal of Monetary Economics, Elsevier, vol. 56(2), pages 222-230, March.
    5. Thomas W. Bates & Kathleen M. Kahle & René M. Stulz, 2009. "Why Do U.S. Firms Hold So Much More Cash than They Used To?," Journal of Finance, American Finance Association, vol. 64(5), pages 1985-2021, October.
    6. 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.
    7. Fernando Alvarez & Luigi Guiso & Francesco Lippi, 2012. "Durable Consumption and Asset Management with Transaction and Observation Costs," American Economic Review, American Economic Association, vol. 102(5), pages 2272-2300, August.
    8. 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.
    9. 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.
    10. Bensoussan, Alain & Chutani, Anshuman & Sethi, Suresh, 2009. "Optimal Cash Management Under Uncertainty," MPRA Paper 19896, University Library of Munich, Germany.
    11. Fernando Alvarez & Francesco Lippi, 2009. "Financial Innovation and the Transactions Demand for Cash," Econometrica, Econometric Society, vol. 77(2), pages 363-402, March.
    12. Bar-Ilan, Avner, 1990. "Overdrafts and the Demand for Money," American Economic Review, American Economic Association, vol. 80(5), pages 1201-1216, December.
    13. Blyth C. Archibald & Edward A. Silver, 1978. "(s, S) Policies Under Continuous Review and Discrete Compound Poisson Demand," Management Science, INFORMS, vol. 24(9), pages 899-909, May.
    14. Milbourne, Ross, 1983. "Optimal Money Holding under Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 685-698, October.
    15. Jovanovic, Boyan, 1982. "Inflation and Welfare in the Steady State," Journal of Political Economy, University of Chicago Press, vol. 90(3), pages 561-577, June.
    16. Edwin H. Neave, 1970. "The Stochastic Cash Balance Problem with Fixed Costs for Increases and Decreases," Management Science, INFORMS, vol. 16(7), pages 472-490, March.
    17. Jing-Sheng Song & Paul Zipkin, 1993. "Inventory Control in a Fluctuating Demand Environment," Operations Research, INFORMS, vol. 41(2), pages 351-370, April.
    18. Peter Mooslechner & Helmut Stix & Karin Wagner, 2006. "How Are Payments Made in Austria?," Monetary Policy & the Economy, Oesterreichische Nationalbank (Austrian Central Bank), issue 2, pages 111-134.
    19. George M. Constantinides & Scott F. Richard, 1978. "Existence of Optimal Simple Policies for Discounted-Cost Inventory and Cash Management in Continuous Time," Operations Research, INFORMS, vol. 26(4), pages 620-636, August.
    20. 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.
    21. Whitesell, William C, 1989. "The Demand for Currency versus Debitable Accounts: A Note," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 21(2), pages 246-257, May.
    22. Duffie, Darrell & Sun, Tong-sheng, 1990. "Transactions costs and portfolio choice in a discrete-continuous-time setting," Journal of Economic Dynamics and Control, Elsevier, vol. 14(1), pages 35-51, February.
    23. 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.
    24. Eppen, Gary D & Fama, Eugene F, 1969. "Cash Balance and Simple Dynamic Portfolio Problems with Proportional Costs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(2), pages 119-133, June.
    25. Andrew B. Abel & Janice C. Eberly & Stavros Panageas, 2007. "Optimal Inattention to the Stock Market," American Economic Review, American Economic Association, vol. 97(2), pages 244-249, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Rocheteau, Guillaume & Weill, Pierre-Olivier & Wong, Russell, 2018. "A tractable model of monetary exchange with ex-post heterogeneity," Theoretical Economics, Econometric Society, vol. 13(3), September.
    2. 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.
    3. Alvarez, Fernando & Lippi, Francesco, 2017. "Cash burns: An inventory model with a cash-credit choice," Journal of Monetary Economics, Elsevier, vol. 90(C), pages 99-112.
    4. Zeno Enders, 2020. "Heterogeneous Consumers, Segmented Asset Markets and the Real Effects of Monetary Policy," The Economic Journal, Royal Economic Society, vol. 130(628), pages 1031-1056.
    5. Heng Chen & Marie-Hélène Felt & Kim P. Huynh, 2017. "Retail payment innovations and cash usage: accounting for attrition by using refreshment samples," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 180(2), pages 503-530, February.
    6. Lin William Cong & Ye Li & Neng Wang, 2021. "Tokenomics: Dynamic Adoption and Valuation [The demand of liquid assets with uncertain lumpy expenditures]," The Review of Financial Studies, Society for Financial Studies, vol. 34(3), pages 1105-1155.
    7. Fernando Alvarez & Hervé Le Bihan & Francesco Lippi, 2013. "Small and Large Price Changes and the Propagation of Monetary Shocks," EIEF Working Papers Series 1318, Einaudi Institute for Economics and Finance (EIEF), revised Aug 2013.
    8. Rocheteau, Guillaume & Weill, Pierre-Olivier & Wong, Tsz-Nga, 2021. "An heterogeneous-agent New-Monetarist model with an application to unemployment," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 64-90.
    9. 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.
    10. Tamás Briglevics & Scott Schuh, 2020. "This Is What's in Your Wallet...and Here's How You Use It," Working Papers 20-04, Department of Economics, West Virginia University.
    11. Rocheteau, Guillaume & Rodriguez-Lopez, Antonio, 2014. "Liquidity provision, interest rates, and unemployment," Journal of Monetary Economics, Elsevier, vol. 65(C), pages 80-101.
    12. Herrenbrueck, Lucas, 2019. "Frictional asset markets and the liquidity channel of monetary policy," Journal of Economic Theory, Elsevier, vol. 181(C), pages 82-120.
    13. Barron, Yonit, 2023. "A stochastic card balance management problem with continuous and batch-type bilateral transactions," Operations Research Perspectives, Elsevier, vol. 10(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. Francisco Salas-Molina & Juan A. Rodríguez-Aguilar & Montserrat Guillen, 2023. "A multidimensional review of the cash management problem," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-35, December.
    5. 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.
    6. Francisco Salas-Molina & David Pla-Santamaria & Juan A. Rodriguez-Aguilar, 2018. "A multi-objective approach to the cash management problem," Annals of Operations Research, Springer, vol. 267(1), pages 515-529, August.
    7. Guiso, Luigi & Sodini, Paolo, 2013. "Household Finance: An Emerging Field," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1397-1532, Elsevier.
    8. Arango-Arango, Carlos A. & Bouhdaoui, Yassine & Bounie, David & Eschelbach, Martina & Hernandez, Lola, 2018. "Cash remains top-of-wallet! International evidence from payment diaries," Economic Modelling, Elsevier, vol. 69(C), pages 38-48.
    9. Sandun C. Perera & Suresh P. Sethi, 2023. "A survey of stochastic inventory models with fixed costs: Optimality of (s, S) and (s, S)‐type policies—Continuous‐time case," Production and Operations Management, Production and Operations Management Society, vol. 32(1), pages 154-169, January.
    10. Schmidt-Dengler, Philipp & Stix, Helmut & Huynh, Kim P., 2014. "The Role of Card Acceptance in the Transaction Demand for Money," CEPR Discussion Papers 10183, C.E.P.R. Discussion Papers.
    11. Fernando Alvarez & Luigi Guiso & Francesco Lippi, 2012. "Durable Consumption and Asset Management with Transaction and Observation Costs," American Economic Review, American Economic Association, vol. 102(5), pages 2272-2300, August.
    12. Hinderer, K. & Waldmann, K. -H., 2001. "Cash management in a randomly varying environment," European Journal of Operational Research, Elsevier, vol. 130(3), pages 468-485, May.
    13. 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.
    14. Andrew W. Lo & Harry Mamaysky & Jiang Wang, 2004. "Asset Prices and Trading Volume under Fixed Transactions Costs," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 1054-1090, October.
    15. 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.
    16. Marcos Melo & Feruccio Bilich, 2013. "Expectancy balance model for cash flow," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 37(2), pages 240-252, April.
    17. Huynh, Kim P. & Schmidt-Dengler, Philipp & Stix, Helmut, 2014. "Whenever and Wherever: The Role of Card Acceptance in the Transaction Demand for Money," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 472, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    18. repec:zbw:bofrdp:2015_022 is not listed on IDEAS
    19. Carlos Arango & Yassine Bouhdaoui & David Bounie & Martina Eschelbach & Lola Hernández, 2013. "Cash Management and Payment Choices: A Simulation Model with International Comparisons," Staff Working Papers 13-53, Bank of Canada.
    20. Ulf Von Kalckreuth & Tobias Schmidt & Helmut Stix, 2014. "Using Cash to Monitor Liquidity: Implications for Payments, Currency Demand, and Withdrawal Behavior," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 46(8), pages 1753-1786, December.
    21. Francisco Gomes & Michael Haliassos & Tarun Ramadorai, 2021. "Household Finance," Journal of Economic Literature, American Economic Association, vol. 59(3), pages 919-1000, September.

    More about this item

    JEL classification:

    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eie:wpaper:1307. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Facundo Piguillem (email available below). General contact details of provider: https://edirc.repec.org/data/einauit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.