IDEAS home Printed from https://ideas.repec.org/p/kan/wpaper/201215.html
   My bibliography  Save this paper

The CAPM Risk Adjustment Needed for Exact Aggregation over Financial Assets

Author

Listed:
  • William Barnett

    (Department of Economics, University of Kansas)

  • Yi Liu

    (Washington University in St.Louis)

  • Haiyang Xu

    (Washington University in St.Louis)

  • Mark Jensen

    (Southern Illinois University at Carbondale)

Abstract

This cumulative working paper contains the unified joint research completed so far on monetary aggregation under risk, including the extension of index number theory needed to incorporate adjustments for risk into the rate structure, experiments on tracking ability of the unadjusted index, and results on velocity instability when the risk adjustment is ignored and velocity instability is induced by overlooked stochastic volatility of interest rates. The paper was presented at the September 1995 Conference on Computation and Estimation in Finance and Economics, held at Washington University and organized by William Barnett, Lars Hansen, and George Tauchen. The conference proceedings will be published by Cambridge University Press.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • William Barnett & Yi Liu & Haiyang Xu & Mark Jensen, 2012. "The CAPM Risk Adjustment Needed for Exact Aggregation over Financial Assets," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201215, University of Kansas, Department of Economics, revised Sep 2012.
  • Handle: RePEc:kan:wpaper:201215
    as

    Download full text from publisher

    File URL: http://www2.ku.edu/~kuwpaper/2009Papers/201215.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fisher, Franklin M. & Shell, Karl, 1972. "The Economic Theory of Price Indices," Elsevier Monographs, Elsevier, edition 1, number 9780122577505 edited by Shell, Karl.
    2. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    3. William A. Barnett & Douglas Fisher & Apostolos Serletis, 2006. "Consumer Theory and the Demand for Money," World Scientific Book Chapters, in: Money And The Economy, chapter 1, pages 3-43, World Scientific Publishing Co. Pte. Ltd..
    4. Bordo, Michael David & Jonung, Lars, 1981. "The Long Run Behavior of the Income Velocity of Money in Five Advanced Countries, 1870-1975: An Institutional Approach," Economic Inquiry, Western Economic Association International, vol. 19(1), pages 96-116, January.
    5. Bansal, Ravi & Gallant, A. Ronald & Hussey, Robert & Tauchen, George, 1995. "Nonparametric estimation of structural models for high-frequency currency market data," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 251-287.
    6. Blackorby, Charles & Davidson, Russell & Schworm, William, 1991. "Implicit separability: Characterisation and implications for consumer demands," Journal of Economic Theory, Elsevier, vol. 55(2), pages 364-399, December.
    7. 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.
    8. Bordo, Michael D. & Jonung, Lars, 1990. "The long-run behavior of velocity: The institutional approach revisited," Journal of Policy Modeling, Elsevier, vol. 12(2), pages 165-197.
    9. Boyle, Glenn W, 1990. "Money Demand and the Stock Market in a General Equilibrium Model with Variable Velocity," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1039-1053, October.
    10. den Haan, Wouter J & Marcet, Albert, 1990. "Solving the Stochastic Growth Model by Parameterizing Expectations," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 31-34, January.
    11. Rotemberg, Julio J & Driscoll, John C & Poterba, James M, 1995. "Money, Output, and Prices: Evidence from a New Monetary Aggregate," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 67-83, January.
    12. Michael D. Bordo & Lars Jonung, 1990. "The long-run behavior of velocity: the institutional approach revisited: introduction," Proceedings, Federal Reserve Bank of Cleveland, pages 165-204.
    13. Albert Marcet & David A. Marshall, 1992. "Convergence of approximate model solutions to rational expectation equilibria using the method of parameterized expectations," Economics Working Papers 17, Department of Economics and Business, Universitat Pompeu Fabra.
    14. 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.
    15. Feenstra, Robert C., 1986. "Functional equivalence between liquidity costs and the utility of money," Journal of Monetary Economics, Elsevier, vol. 17(2), pages 271-291, March.
    16. Swamy, P. A. V. B. & Tinsley, P. A., 1980. "Linear prediction and estimation methods for regression models with stationary stochastic coefficients," Journal of Econometrics, Elsevier, vol. 12(2), pages 103-142, February.
    17. Feldstein, Martin & Stock, James H., 1996. "Measuring money growth when financial markets are changing," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 3-27, February.
    18. Labadie, Pamela, 1989. "Stochastic inflation and the equity premium," Journal of Monetary Economics, Elsevier, vol. 24(2), pages 277-298, September.
    19. LeRoy, Stephen F, 1984. "Nominal Prices and Interest Rates in General Equilibrium: Money Shocks," The Journal of Business, University of Chicago Press, vol. 57(2), pages 177-195, April.
    20. Baxter, Marianne & Crucini, Mario J & Rouwenhorst, K Geert, 1990. "Solving the Stochastic Growth Model by a Discrete-State-Space, Euler-Equation Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 19-21, January.
    21. William A. Barnett & Melvin Hinich & Piyu Yue, 2000. "Monitoring Monetary Aggregates Under Risk Aversion," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 217-244, Emerald Group Publishing Limited.
    22. Apostolos Serletis & David Krause, 2006. "Nominal Stylized Facts of U.S. Business Cycles," World Scientific Book Chapters, in: Money And The Economy, chapter 2, pages 47-56, World Scientific Publishing Co. Pte. Ltd..
    23. Marshall, David A, 1992. "Inflation and Asset Returns in a Monetary Economy," Journal of Finance, American Finance Association, vol. 47(4), pages 1315-1342, September.
    24. 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.
    25. Blackorby Charles & Russell R. Robert, 1994. "The Conjunction of Direct and Indirect Separability," Journal of Economic Theory, Elsevier, vol. 62(2), pages 480-498, April.
    26. Baxter, Marianne, 1991. "Approximating suboptimal dynamic equilibria : An Euler equation approach," Journal of Monetary Economics, Elsevier, vol. 28(2), pages 173-200, October.
    27. William A. Barnett & Edward K. Offenbacher & Paul A. Spindt, 2000. "The New Divisia Monetary Aggregates," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 360-388, Emerald Group Publishing Limited.
    28. Hall, Thomas E & Noble, Nicholas R, 1987. "Velocity and the Variability of Money Growth: Evidence from Granger-Causality Tests: A Note," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 19(1), pages 112-116, February.
    29. Courtenay C. Stone & Daniel L. Thornton, 1987. "Solving the 1980s' velocity puzzle: a progress report," Review, Federal Reserve Bank of St. Louis, issue Aug, pages 5-23.
    30. James B. Bullard, 1994. "Measures of money and the quantity theory," Review, Federal Reserve Bank of St. Louis, issue Jan, pages 19-30.
    31. Barnett, William A. & Jonas, Andrew B., 1983. "The Muntz-Szatz demand system : An application of a globally well behaved series expansion," Economics Letters, Elsevier, vol. 11(4), pages 337-342.
    32. Mark Rubinstein, 1976. "The Valuation of Uncertain Income Streams and the Pricing of Options," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 407-425, Autumn.
    33. Den Haan, Wouter J., 1990. "The optimal inflation path in a Sidrauski-type model with uncertainty," Journal of Monetary Economics, Elsevier, vol. 25(3), pages 389-409, June.
    34. 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.
    35. Fisher, Douglas & Serletis, Apostolos, 1989. "Velocity and the growth of money in the United States, 1970-1985," Journal of Macroeconomics, Elsevier, vol. 11(3), pages 323-332.
    36. Barnett,William A. & Moulin,Hervé & Salles,Maurice & Schofield,Norman J. (ed.), 1995. "Social Choice, Welfare, and Ethics," Cambridge Books, Cambridge University Press, number 9780521443401, November.
    37. Giovannini, Alberto & Labadie, Pamela, 1991. "Asset Prices and Interest Rates in Cash-in-Advance Models," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1215-1251, December.
    38. Jensen, Mark J, 1997. "A Homotopy Approach to Solving Nonlinear Rational Expectation Problems," Computational Economics, Springer;Society for Computational Economics, vol. 10(1), pages 47-65, February.
    39. Wouter J. Den Haan & Albert Marcet, 1994. "Accuracy in Simulations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(1), pages 3-17.
    40. Stahl, Dale O, II, 1983. "Quasi-Homothetic Preferences, the Generalized Divisia Quantity Index, and Aggregation," Economica, London School of Economics and Political Science, vol. 50(197), pages 87-93, February.
    41. Taylor, John B & Uhlig, Harald, 1990. "Solving Nonlinear Stochastic Growth Models: A Comparison of Alternative Solution Methods," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 1-17, January.
    42. PHLIPS, Louis & SPINNEWYN, Frans, 1982. "Rationality versus myopia in dynamic demand systems," LIDAM Reprints CORE 468, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    43. Hulten, Charles R, 1973. "Divisia Index Numbers," Econometrica, Econometric Society, vol. 41(6), pages 1017-1025, November.
    44. Lucas, Robert E, Jr & Stokey, Nancy L, 1987. "Money and Interest in a Cash-in-Advance Economy," Econometrica, Econometric Society, vol. 55(3), pages 491-513, May.
    45. Belongia, Michael T, 1996. "Measurement Matters: Recent Results from Monetary Economics Reexamined," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 1065-1083, October.
    46. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    47. Friedman, Milton, 1983. "Monetary Variability: United States and Japan," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 15(3), pages 339-343, August.
    48. Gallant, A. Ronald, 1982. "Unbiased determination of production technologies," Journal of Econometrics, Elsevier, vol. 20(2), pages 285-323, November.
    49. Coleman, Wilbur John, II, 1991. "Equilibrium in a Production Economy with an Income Tax," Econometrica, Econometric Society, vol. 59(4), pages 1091-1104, July.
    50. Thornton, John, 1995. "Friedman's Money Supply Volatility Hypothesis: Some International Evidence: Note," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(1), pages 288-292, February.
    51. Carl F. Christ, 1993. "Assessing applied econometric results," Review, Federal Reserve Bank of St. Louis, issue Mar, pages 71-94.
    52. Siklos, Pierre L, 1993. "Income Velocity and Institutional Change: Some New Time Series Evidence, 1870-1986," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 25(3), pages 377-392, August.
    53. Daniel L. Thornton, 1994. "Financial innovation, deregulation and the \\"credit view\\" of monetary policy," Review, Federal Reserve Bank of St. Louis, issue Jan, pages 31-49.
    54. Michael T. Belongia, 1984. "Money growth variability and GNP," Review, Federal Reserve Bank of St. Louis, vol. 66(Apr), pages 23-31.
    55. Svensson, Lars E O, 1985. "Money and Asset Prices in a Cash-in-Advance Economy," Journal of Political Economy, University of Chicago Press, vol. 93(5), pages 919-944, October.
    56. Charles Blackorby & William Schworm, 1984. "The Structure of Economies with Aggregate Measures of Capital: A Complete Characterization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(4), pages 633-650.
    57. Coleman, Wilbur John, II, 1990. "Solving the Stochastic Growth Model by Policy-Function Iteration," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 27-29, January.
    58. Fischer, Stanley, 1974. "Money and the Production Function," Economic Inquiry, Western Economic Association International, vol. 12(4), pages 517-533, December.
    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. William A. Barnett & Haiyang Xu, 1998. "Money Velocity with Interest Rate Stochastic Volatility and Exact Aggregation," Macroeconomics 9803004, University Library of Munich, Germany.
    2. William A. Barnett & Yi Liu, 1996. "The CAPM-Extended Divisia Monetary Aggregate with Exact Tracking under Risk," Finance 9602001, University Library of Munich, Germany.
    3. Christian Aubin & IBRAHIMA DIOUF & DOMINIQUE PEPIN, 2013. "Influence De La Politique Monetaire Sur Le Prix Des Actifs Financiers :Les Enseignements D’Un Modele Miu Applique A La Fed: Impact Of Monetary Policy On Asset Prices :Lessons From A Miu Model Applied ," Brussels Economic Review, ULB -- Universite Libre de Bruxelles, vol. 56(3-4), pages 313-333.
    4. William A. Barnett, 2000. "Which Road Leads to Stable Money Demand?," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 577-592, Emerald Group Publishing Limited.
    5. 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.
    6. William A. Barnett & Milka Kirova & Meenakshi Pasupathy, 1996. "Technology Modeling: Curvature is not Sufficient for Regularity," Econometrics 9602002, University Library of Munich, Germany, revised 24 Jun 1999.
    7. Sellin, Peter, 1998. "Monetary Policy and the Stock Market: Theory and Empirical Evidence," Working Paper Series 72, Sveriges Riksbank (Central Bank of Sweden).
    8. William Barnett & Liting Su, 2014. "The Joint Services of Money and Credit," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201407, University of Kansas, Department of Economics, revised Dec 2014.
    9. Barnett, William A. & Su, Liting, 2019. "Risk Adjustment Of The Credit-Card Augmented Divisia Monetary Aggregates," Macroeconomic Dynamics, Cambridge University Press, vol. 23(S1), pages 90-114, September.
    10. Barnett, William A. & Chauvet, Marcelle, 2011. "How better monetary statistics could have signaled the financial crisis," Journal of Econometrics, Elsevier, vol. 161(1), pages 6-23, March.
    11. Barnett, William & Chauvet, Marcelle & Leiva-Leon, Danilo & Su, Liting, 2016. "Nowcasting nominal gdp with the credit-card augmented Divisia monetary aggregates," MPRA Paper 73246, University Library of Munich, Germany.
    12. Albert Marcet & David A. Marshall, 1994. "Solving nonlinear rational expectations models by parameterized expectations: convergence to stationary solutions," Working Paper Series, Macroeconomic Issues 94-20, Federal Reserve Bank of Chicago.
    13. 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..
    14. Peter Sellin, 2001. "Monetary Policy and the Stock Market: Theory and Empirical Evidence," Journal of Economic Surveys, Wiley Blackwell, vol. 15(4), pages 491-541, September.
    15. William Barnett & Barry E. Jones & Milka Kirova & Travis D. Nesmith & Meenakshi Pasupathy1, 2004. "The Nonlinear Skeletons in the Closet," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200403, University of Kansas, Department of Economics, revised May 2004.
    16. Barnett, William & Chauvet, Marcelle & Leiva-Leon, Danilo & Su, Liting, 2016. "Nowcasting Nominal GDP with the Credit-Card Augmented Divisia Monetary," Studies in Applied Economics 59, The Johns Hopkins Institute for Applied Economics, Global Health, and the Study of Business Enterprise.
    17. Ralph Chami & Thomas F. Cosimano & Connel Fullenkamp, 2001. "Capital Trading, Stock Trading, and the Inflation Tax on Equity," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(3), pages 575-606, July.
    18. Ryan S. Mattson & Philippe de Peretti, 2014. "Investigating the Role of Real Divisia Money in Persistence-Robust Econometric Models," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00984827, HAL.
    19. William A. Barnett & Marcelle Chauvet, 2011. "International Financial Aggregation and Index Number Theory: A Chronological Half-Century Empirical Overview," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 1, pages 1-51, World Scientific Publishing Co. Pte. Ltd..
    20. Belongia, Michael T. & Ireland, Peter N., 2019. "The demand for Divisia Money: Theory and evidence," Journal of Macroeconomics, Elsevier, vol. 61(C), pages 1-1.

    More about this item

    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

    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:kan:wpaper:201215. 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: Professor Zongwu Cai (email available below). General contact details of provider: https://edirc.repec.org/data/deuksus.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.