IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/12549.html
   My bibliography  Save this paper

The optimal liquidity principle with restricted borrowing

Author

Listed:
  • Mierzejewski, Fernando

Abstract

A model is presented to characterise the (optimal) demand for cash balances in deregulated markets. After the model of James Tobin, 1958, net balances are determined in order to maximise the expected return of a certain portfolio combining risk and capital. Unlike the model of Tobin, however, the price of the underlying exposures are established in actuarial terms. Within this setting, the monetary equilibrium determines the rate at which a unit of capital is exchange by a unit of exposure to risk, or equivalently, it determines the market price of risk. In a Gaussian setting, such a price is expressed as a mean-to-volatility ratio and can then be regarded as an alternative measure to the Sharpe ratio. The effects of credit and monetary flows on money and security markets can be precisely described on these grounds. An alternative framework for the analysis of monetary policy is thus provided.

Suggested Citation

  • Mierzejewski, Fernando, 2008. "The optimal liquidity principle with restricted borrowing," MPRA Paper 12549, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:12549
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/12549/1/MPRA_paper_12549.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Holmstrom, Bengt & Tirole, Jean, 2000. "Liquidity and Risk Management," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(3), pages 295-319, August.
    2. Fama, Eugene F., 1998. "Market efficiency, long-term returns, and behavioral finance," Journal of Financial Economics, Elsevier, vol. 49(3), pages 283-306, September.
    3. Robert C. Merton, 1997. "A Model of Contract Guarantees for Credit-Sensitive, Opaque Financial Intermediaries," Review of Finance, European Finance Association, vol. 1(1), pages 1-13.
    4. Venter, Gary G., 1991. "Premium Calculation Implications of Reinsurance Without Arbitrage," ASTIN Bulletin, Cambridge University Press, vol. 21(2), pages 223-230, November.
    5. Kashyap, Anil K. & Stein, Jeremy C., 1995. "The impact of monetary policy on bank balance sheets," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 42(1), pages 151-195, June.
    6. Robert E. Lucas, 2001. "Inflation and Welfare," International Economic Association Series, in: Axel Leijonhufvud (ed.), Monetary Theory as a Basis for Monetary Policy, chapter 4, pages 96-142, Palgrave Macmillan.
    7. J. M. Keynes, 1937. "The General Theory of Employment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 51(2), pages 209-223.
    8. William F. Sharpe, 1965. "Mutual Fund Performance," The Journal of Business, University of Chicago Press, vol. 39, pages 119-119.
    9. Kenneth A. Froot, 2007. "Risk Management, Capital Budgeting, and Capital Structure Policy for Insurers and Reinsurers," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 74(2), pages 273-299, June.
    10. Mierzejewski, Fernando, 2006. "Economic capital allocation under liquidity constraints," MPRA Paper 2414, University Library of Munich, Germany.
    11. Milton Friedman, 1971. "A Theoretical Framework for Monetary Analysis," NBER Books, National Bureau of Economic Research, Inc, number frie71-1.
    12. Mierzejewski, Fernando, 2006. "Liquidity preference as rational behaviour under uncertainty," MPRA Paper 2771, University Library of Munich, Germany.
    13. Dhaene, J. & Denuit, M. & Goovaerts, M. J. & Kaas, R. & Vyncke, D., 2002. "The concept of comonotonicity in actuarial science and finance: theory," Insurance: Mathematics and Economics, Elsevier, vol. 31(1), pages 3-33, August.
    14. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    15. Jan Dhaene & Mark Goovaerts & Rob Kaas, 2003. "Economic Capital Allocation Derived from Risk Measures," North American Actuarial Journal, Taylor & Francis Journals, vol. 7(2), pages 44-56.
    16. Wang, Shaun, 1996. "Premium Calculation by Transforming the Layer Premium Density," ASTIN Bulletin, Cambridge University Press, vol. 26(1), pages 71-92, May.
    17. Jeremy C. Stein & Anil K. Kashyap, 2000. "What Do a Million Observations on Banks Say about the Transmission of Monetary Policy?," American Economic Review, American Economic Association, vol. 90(3), pages 407-428, June.
    18. Fernando MIERZEJEWSKI, 2008. "The Economic Capital Of Opaque Financial Institutions," Journal of Applied Economic Sciences, Spiru Haret University, Faculty of Financial Management and Accounting Craiova, vol. 3(3(5)_Fall), pages 232-245.
    19. Mierzejewski, Fernando, 2008. "The Allocation of Economic Capital in Opaque Financial Conglomerates," MPRA Paper 9432, University Library of Munich, Germany.
    20. Calza, Alessandro & Sousa, João, 2003. "Why has broad money demand been more stable in the euro area than in other economies? A literature review," Working Paper Series 261, European Central Bank.
    21. Andrea Gamba & Alexander Triantis, 2008. "The Value of Financial Flexibility," Journal of Finance, American Finance Association, vol. 63(5), pages 2263-2296, October.
    22. Cheryl L. Edwards, 1997. "Open market operations in the 1990s," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), vol. 83(Nov), pages 859-874, November.
    23. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    24. Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166.
    25. Merton, Robert C, 1978. "On the Cost of Deposit Insurance When There Are Surveillance Costs," The Journal of Business, University of Chicago Press, vol. 51(3), pages 439-452, July.
    26. Tobin, James, 1982. "Money and Finance in the Macroeconomic Process," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 14(2), pages 171-204, May.
    27. Darren J. Kisgen, 2006. "Credit Ratings and Capital Structure," Journal of Finance, American Finance Association, vol. 61(3), pages 1035-1072, June.
    28. Wang, Shaun S. & Young, Virginia R. & Panjer, Harry H., 1997. "Axiomatic characterization of insurance prices," Insurance: Mathematics and Economics, Elsevier, vol. 21(2), pages 173-183, November.
    29. Duca, John V, 2000. "Financial Technology Shocks and the Case of the Missing M2," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(4), pages 820-839, November.
    30. Stephen M. Goldfeld, 1976. "The Case of the Missing Money," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 7(3), pages 683-740.
    31. Merton, Robert C., 1977. "An analytic derivation of the cost of deposit insurance and loan guarantees An application of modern option pricing theory," Journal of Banking & Finance, Elsevier, vol. 1(1), pages 3-11, June.
    32. Choi, Woon Gyu & Oh, Seonghwan, 2003. "A Money Demand Function with Output Uncertainty, Monetary Uncertainty, and Financial Innovations," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(5), pages 685-709, October.
    33. Tobin, James, 1981. "The Monetarist Counter-Revolution Today-An Appraisal," Economic Journal, Royal Economic Society, vol. 91(361), pages 29-42, March.
    34. Marc Goovaerts & Eddy Van den Borre & Roger Laeven, 2005. "Managing Economic and Virtual Economic Capital Within Financial Conglomerates," North American Actuarial Journal, Taylor & Francis Journals, vol. 9(3), pages 77-89.
    35. Wang, Shaun S., 2002. "A Universal Framework for Pricing Financial and Insurance Risks," ASTIN Bulletin, Cambridge University Press, vol. 32(2), pages 213-234, November.
    36. Froot, Kenneth A. & Stein, Jeremy C., 1998. "Risk management, capital budgeting, and capital structure policy for financial institutions: an integrated approach," Journal of Financial Economics, Elsevier, vol. 47(1), pages 55-82, January.
    37. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    38. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    39. Billett, Matthew T & Garfinkel, Jon A, 2004. "Financial Flexibility and the Cost of External Finance for U.S. Bank Holding Companies," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(5), pages 827-852, October.
    40. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
    41. Froot, Kenneth A & Scharfstein, David S & Stein, Jeremy C, 1993. "Risk Management: Coordinating Corporate Investment and Financing Policies," Journal of Finance, American Finance Association, vol. 48(5), pages 1629-1658, December.
    42. Mierzejewski, Fernando, 2007. "An actuarial approach to short-run monetary equilibrium," MPRA Paper 2424, University Library of Munich, Germany.
    43. Benoit Mandelbrot, 2015. "The Variation of Certain Speculative Prices," World Scientific Book Chapters, in: Anastasios G Malliaris & William T Ziemba (ed.), THE WORLD SCIENTIFIC HANDBOOK OF FUTURES MARKETS, chapter 3, pages 39-78, World Scientific Publishing Co. Pte. Ltd..
    44. Shaun, Wang, 1995. "Insurance pricing and increased limits ratemaking by proportional hazards transforms," Insurance: Mathematics and Economics, Elsevier, vol. 17(1), pages 43-54, August.
    45. Pedro Teles & Ruilin Zhou, 2005. "A stable money demand: Looking for the right monetary aggregate," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 29(Q I), pages 50-63.
    Full references (including those not matched with items on IDEAS)

    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 MIERZEJEWSKI & Katholieke Universiteit, 2009. "Towards A General Theory Of Liquidity Preference," Journal of Applied Economic Sciences, Spiru Haret University, Faculty of Financial Management and Accounting Craiova, vol. 4(2(8)_ Sum).
    2. Mierzejewski, Fernando, 2006. "Liquidity preference as rational behaviour under uncertainty," MPRA Paper 2771, University Library of Munich, Germany.
    3. Mierzejewski, Fernando, 2007. "The Money Demand with Random Output and Limited Access to Debt," MPRA Paper 6688, University Library of Munich, Germany.
    4. Mierzejewski, Fernando, 2007. "An actuarial approach to short-run monetary equilibrium," MPRA Paper 2424, University Library of Munich, Germany.
    5. Mierzejewski, Fernando, 2008. "The Allocation of Economic Capital in Opaque Financial Conglomerates," MPRA Paper 9432, University Library of Munich, Germany.
    6. Mierzejewski, Fernando, 2007. "The Short-Run Monetary Equilibrium with Liquidity Constraints," MPRA Paper 6526, University Library of Munich, Germany.
    7. Mierzejewski, Fernando, 2008. "The cost of capital in markets with opaque intermediaries and the risk-structure of interest rates," MPRA Paper 9827, University Library of Munich, Germany.
    8. Mierzejewski, Fernando, 2006. "Economic capital allocation under liquidity constraints," MPRA Paper 2414, University Library of Munich, Germany.
    9. Jovanovic, Franck & Schinckus, Christophe, 2017. "Econophysics and Financial Economics: An Emerging Dialogue," OUP Catalogue, Oxford University Press, number 9780190205034.
    10. Radu Tunaru, 2015. "Model Risk in Financial Markets:From Financial Engineering to Risk Management," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 9524, August.
    11. Guillaume Vuillemey, 2015. "Derivatives markets : from bank risk management to financial stability [Les marchés de dérivés : gestion des risques bancaires et stabilité financière]," SciencePo Working papers Main tel-03507099, HAL.
    12. Robert A. Jarrow, 1999. "In Honor of the Nobel Laureates Robert C. Merton and Myron S. Scholes: A Partial Differential Equation That Changed the World," Journal of Economic Perspectives, American Economic Association, vol. 13(4), pages 229-248, Fall.
    13. Stijn Claessens & M Ayhan Kose, 2018. "Frontiers of macrofinancial linkages," BIS Papers, Bank for International Settlements, number 95.
    14. Denuit Michel & Dhaene Jan & Goovaerts Marc & Kaas Rob & Laeven Roger, 2006. "Risk measurement with equivalent utility principles," Statistics & Risk Modeling, De Gruyter, vol. 24(1), pages 1-25, July.
    15. Fernando MIERZEJEWSKI, 2008. "The Economic Capital Of Opaque Financial Institutions," Journal of Applied Economic Sciences, Spiru Haret University, Faculty of Financial Management and Accounting Craiova, vol. 3(3(5)_Fall), pages 232-245.
    16. Guillaume Vuillemey, 2015. "Derivatives markets : from bank risk management to financial stability [Les marchés de dérivés : gestion des risques bancaires et stabilité financière]," SciencePo Working papers tel-03507099, HAL.
    17. Furman, Edward & Landsman, Zinoviy, 2010. "Multivariate Tweedie distributions and some related capital-at-risk analyses," Insurance: Mathematics and Economics, Elsevier, vol. 46(2), pages 351-361, April.
    18. Carmen López-Martín & Sonia Benito Muela & Raquel Arguedas, 2021. "Efficiency in cryptocurrency markets: new evidence," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 11(3), pages 403-431, September.
    19. Gomez, Matthieu & Landier, Augustin & Sraer, David & Thesmar, David, 2021. "Banks’ exposure to interest rate risk and the transmission of monetary policy," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 543-570.
    20. John A. Major & Stephen J. Mildenhall, 2020. "Pricing and Capital Allocation for Multiline Insurance Firms With Finite Assets in an Imperfect Market," Papers 2008.12427, arXiv.org.

    More about this item

    Keywords

    Liquidity-preference; Money demand; Monetary equilibrium; Market price of risk; Sharpe ratio;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:12549. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.