IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v32y2008i3p709-756.html
   My bibliography  Save this article

On deposit volumes and the valuation of non-maturing liabilities

Author

Listed:
  • Nyström, Kaj

Abstract

In this paper we propose a framework for the modelling of non-maturing liabilities, the latter referring to deposits without a specific maturity or deposits whose actual time horizon significantly differs from their contractual maturity. The set of non-maturing liabilities include most of the traditional deposit accounts like demand deposits and savings accounts and form the basis of the funding for depository institutions. Our framework consists of three pieces: models for market rates, deposit rates and deposit volumes. For the market rate an extended one-factor Vasicek model is used but the framework developed is general and any other and potentially more sophisticated and accurate model for the market rate can be applied. Deposit rates are modelled using policy functions which are allowed to depend on the current market rate and the volume deposited. Concerning deposit volumes we develop a framework in which models for deposit volumes can be derived in theoretically sound way. This is done in two steps. In the first step we propose reasonable rules or strategies based on which we attempt to capture the behaviour of the individual customer. In the second step we then define notions of homogeneity in customer behaviour and use these to derive models for the behaviour of the 'average customer' and for the volumes deposited by the 'average customer'. Finally, the pieces of the framework are integrated in a valuation formula, we here use the approach of Jarrow and Van Deventer [1998. The arbitrage-free valuation and hedging of demand deposits and credit card loans. Journal of Banking and Finance 22, 249-272], and a value is assigned to a portfolio of demand deposits. This valuation formula also forms the basis for the risk management of the interest rate risk embedded in the demand deposits.

Suggested Citation

  • Nyström, Kaj, 2008. "On deposit volumes and the valuation of non-maturing liabilities," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 709-756, March.
    • Handle: RePEc:eee:dyncon:v:32:y:2008:i:3:p:709-756
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1889(07)00090-5
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    2. Kalkbrener, Michael & Willing, Jan, 2004. "Risk management of non-maturing liabilities," Journal of Banking & Finance, Elsevier, vol. 28(7), pages 1547-1568, July.
    3. 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.
    4. Hutchison, David E. & Pennacchi, George G., 1996. "Measuring Rents and Interest Rate Risk in Imperfect Financial Markets: The Case of Retail Bank Deposits," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 31(3), pages 399-417, September.
    5. Bianca Hilberink & L.C.G. Rogers, 2002. "Optimal capital structure and endogenous default," Finance and Stochastics, Springer, vol. 6(2), pages 237-263.
    6. Zhou, Chunsheng, 2001. "An Analysis of Default Correlations and Multiple Defaults," The Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 555-576.
    7. Jarrow, Robert A. & van Deventer, Donald R., 1998. "The arbitrage-free valuation and hedging of demand deposits and credit card loans," Journal of Banking & Finance, Elsevier, vol. 22(3), pages 249-272, March.
    8. 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..
    9. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    10. Hayne E. Leland., 1998. "Agency Costs, Risk Management, and Capital Structure," Research Program in Finance Working Papers RPF-278, University of California at Berkeley.
    11. Marie-Paule Laurent, 2004. "Non-maturity deposits with a fidelity premium," Working Papers CEB 04-016.RS, ULB -- Universite Libre de Bruxelles.
    12. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    13. de Jong, Frank & Wielhouwer, Jacco, 2003. "The Valuation and Hedging of Variable Rate Savings Accounts," ASTIN Bulletin, Cambridge University Press, vol. 33(2), pages 383-397, November.
    14. M. Kijima & T. Suzuki, 2001. "A jump-diffusion model for pricing corporate debt securities in a complex capital structure," Quantitative Finance, Taylor & Francis Journals, vol. 1(6), pages 611-620.
    15. Hayne E. Leland, 1998. "Agency Costs, Risk Management, and Capital Structure," Journal of Finance, American Finance Association, vol. 53(4), pages 1213-1243, August.
    16. Frauendorfer, Karl & Schurle, Michael, 2003. "Management of non-maturing deposits by multistage stochastic programming," European Journal of Operational Research, Elsevier, vol. 151(3), pages 602-616, December.
    17. Longstaff, Francis A & Schwartz, Eduardo S, 1995. "A Simple Approach to Valuing Risky Fixed and Floating Rate Debt," Journal of Finance, American Finance Association, vol. 50(3), pages 789-819, July.
    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. Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742, Elsevier.
    2. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    3. Hans Dewachter & Marco Lyrio & Konstantijn Maes, 2006. "A multi-factor model for the valuation and risk managment of demand deposits," Working Paper Research 83, National Bank of Belgium.
    4. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    5. Nystrom, Kaj & Skoglund, Jimmy, 2006. "A credit risk model for large dimensional portfolios with application to economic capital," Journal of Banking & Finance, Elsevier, vol. 30(8), pages 2163-2197, August.
    6. Samuel Chege Maina, 2011. "Credit Risk Modelling in Markovian HJM Term Structure Class of Models with Stochastic Volatility," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2011, March.
    7. Chi-Fai Lo & Cho-Hoi Hui, 2016. "Pricing Corporate Bonds With Interest Rates Following Double Square-root Process," Working Papers 112016, Hong Kong Institute for Monetary Research.
    8. Zhou, Chunsheng, 2001. "The term structure of credit spreads with jump risk," Journal of Banking & Finance, Elsevier, vol. 25(11), pages 2015-2040, November.
    9. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    10. Samuel Chege Maina, 2011. "Credit Risk Modelling in Markovian HJM Term Structure Class of Models with Stochastic Volatility," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 5, July-Dece.
    11. Chi-Fai Lo & Cho-Hoi Hui, 2016. "Pricing corporate bonds with interest rates following double square-root process," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 3(03), pages 1-31, September.
    12. Augusto Castillo, 2004. "Firm and Corporate Bond Valuation: A Simulation Dynamic Programming Approach," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 41(124), pages 345-360.
    13. Barbedo, Claudio Henrique da Silveira & Lemgruber, Eduardo Facó, 2009. "A down-and-out exchange option model with jumps to evaluate firms' default probabilities in Brazil," Emerging Markets Review, Elsevier, vol. 10(3), pages 179-190, September.
    14. Jing-Zhi Huang & Zhan Shi & Hao Zhou, 2020. "Specification Analysis of Structural Credit Risk Models [Corporate bond valuation and hedging with stochastic interest rates and endogenous bankruptcy]," Review of Finance, European Finance Association, vol. 24(1), pages 45-98.
    15. Viral V. Acharya & Jennifer N. Carpenter, 2002. "Corporate Bond Valuation and Hedging with Stochastic Interest Rates and Endogenous Bankruptcy," The Review of Financial Studies, Society for Financial Studies, vol. 15(5), pages 1355-1383.
    16. Ramaprasad Bhar, 2010. "Stochastic Filtering with Applications in Finance," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7736, June.
    17. Martellini, Lionel & Milhau, Vincent & Tarelli, Andrea, 2018. "Capital structure decisions and the optimal design of corporate market debt prograams," Journal of Corporate Finance, Elsevier, vol. 49(C), pages 141-167.
    18. Nan Chen & S. G. Kou, 2009. "Credit Spreads, Optimal Capital Structure, And Implied Volatility With Endogenous Default And Jump Risk," Mathematical Finance, Wiley Blackwell, vol. 19(3), pages 343-378, July.
    19. Abel Elizalde, 2006. "Credit Risk Models II: Structural Models," Working Papers wp2006_0606, CEMFI.
    20. Norbert Jobst & Stavros A. Zenios, 2001. "Extending Credit Risk (Pricing) Models for the Simulation of Portfolios of Interest Rate and Credit Risk Sensitive Securities," Center for Financial Institutions Working Papers 01-25, Wharton School Center for Financial Institutions, University of Pennsylvania.

    More about this item

    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:eee:dyncon:v:32:y:2008:i:3:p:709-756. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    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.