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Intertemporally non-separable monetary-asset risk adjustment and aggregation

Author

Listed:
  • William A. Barnett

    (University of Kansas)

  • Shu Wu

    (University of Kansas)

Abstract

Modern aggregation theory and index number theory were introduced into monetary economics by Barnett (1980). The widely used Divisia monetary aggregates were based upon that paper. A key result upon which the rest of the theory depended was Barnett’s derivation of the user-cost price of monetary assets. To make that critical part of Barnett’s results available prior to publication of that paper in the Journal of Econometrics, Barnett repeated that proof two years earlier in Economics Letters. Both papers have become seminal to the subsequent literature on monetary asset quantity and user cost aggregation. The extension of that literature to risk with intertemporally non-separable preferences now has become available in a working paper by Barnett and Wu (2004), and that paper will appear in volume 1, number 1 of the new journal, Annals of Finance. We are making available the key results from that paper below, without the proofs, which will be available in the longer paper.

Suggested Citation

  • William A. Barnett & Shu Wu, 2004. "Intertemporally non-separable monetary-asset risk adjustment and aggregation," Macroeconomics 0406010, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpma:0406010
    Note: Type of Document - pdf; pages: 9. This paper is a short form, without the proofs, of our paper, 'On User Costs of Risky Monetary Assets,' which is forthcoming in vol. 1, no. 1 of the new journal, the Annals of Finance, and is available as a working paper in the Economics Working Paper Archive at:
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    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/mac/papers/0406/0406010.pdf
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    References listed on IDEAS

    as
    1. William A. Barnett & Shu Wu, 2011. "On User Costs of Risky Monetary Assets," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 3, pages 85-105, World Scientific Publishing Co. Pte. Ltd..
    2. William Barnett & Apostolos Serletis & W. Erwin Diewert, 2005. "The Theory of Monetary Aggregation (book front matter)," Macroeconomics 0511008, University Library of Munich, Germany.
    3. Maurice Salles, 2016. "Social choice," Chapters, in: Gilbert Faccarello & Heinz D. Kurz (ed.), Handbook on the History of Economic Analysis Volume III, chapter 36, pages 518-537, Edward Elgar Publishing.
    4. William A. Barnett, 2000. "Economic Monetary Aggregates: An Application of Index Number and Aggregation Theory," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 11-48, Emerald Group Publishing Limited.
    5. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    6. William Barnett, 2005. "Monetary Aggregation," Macroeconomics 0503017, University Library of Munich, Germany.
    7. William A. Barnett & Yi Liu, 2000. "Beyond the Risk-neutral Utility Function," Palgrave Macmillan Books, in: Michael T. Belongia & Jane M. Binner (ed.), Divisia Monetary Aggregates, chapter 1, pages 11-27, Palgrave Macmillan.
    8. William A. Barnett & Melvin J. Hinich & Piyu Yue, 2011. "The Exact Theoretical Rational Expectations Monetary Aggregate," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 2, pages 53-84, World Scientific Publishing Co. Pte. Ltd..
    9. Barnett, William A. & Liu, Yi & Jensen, Mark, 1997. "Capm Risk Adjustment For Exact Aggregation Over Financial Assets," Macroeconomic Dynamics, Cambridge University Press, vol. 1(2), pages 485-512, June.
    10. William A. Barnett, 2000. "The User Cost of Money," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 6-10, Emerald Group Publishing Limited.
    11. William A. Barnett, 2003. "Aggregation-Theoretic Monetary Aggregation over the Euro Area, when Countries are Heterogeneous," Macroeconomics 0309018, University Library of Munich, Germany.
    12. Barnett,William A. & Moulin,Hervé & Salles,Maurice & Schofield,Norman J. (ed.), 1995. "Social Choice, Welfare, and Ethics," Cambridge Books, Cambridge University Press, number 9780521443401, September.
    13. William A. Barnett & Jane Binner & W. Erwin Diewert, 2005. "Functional Structure and Approximation in Econometrics (book front matter)," Econometrics 0511006, University Library of Munich, Germany.
    14. repec:cup:macdyn:v:4:y:2000:i:2:p:197-221 is not listed on IDEAS
    15. Michael T. Belongia & Jane M. Binner (ed.), 2000. "Divisia Monetary Aggregates," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-28823-2, March.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. William A. Barnett & Liting Su, 2016. "Joint aggregation over money and credit card services under risk," Economics Bulletin, AccessEcon, vol. 36(4), pages 2301-2310.
    2. Binner, Jane M. & Chaudhry, Sajid & Kelly, Logan & Swofford, James L., 2018. "“Risky” monetary aggregates for the UK and US," Journal of International Money and Finance, Elsevier, vol. 89(C), pages 127-138.

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    More about this item

    Keywords

    User costs; Monetary Aggregation; Risk; Pricing kernel; CAPM; Divisia;
    All these keywords.

    JEL classification:

    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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