IDEAS home Printed from https://ideas.repec.org/p/bcb/wpaper/22.html
   My bibliography  Save this paper

Decentralized Portfolio Management

Author

Listed:
  • Paulo Coutinho
  • Benjamin Miranda Tabak

Abstract

Within a mean-variance model we analyze the problem of decentralized portfolio management. We find the solution for the optimal portfolio allocation for a head trader operating in n different markets, which is called the optimal centralized portfolio. However, as there are many traders specialized in different markets, the solution to the problem of optimal decentralized allocation should be different from the centralized case. In this paper we derive conditions for the solutions to be equivalent. We use multivariate normal returns and a negative exponential function to solve the problem analytically. We generate the equivalence of solutions by assuming that different traders face different interest rates for borrowing and lending. This interest rate is dependent on the ratio of the degrees of risk aversion of the trader and the head trader, on the excess return, and on the correlation between asset returns.

Suggested Citation

  • Paulo Coutinho & Benjamin Miranda Tabak, 2001. "Decentralized Portfolio Management," Working Papers Series 22, Central Bank of Brazil, Research Department.
    • Handle: RePEc:bcb:wpaper:22
    as

    Download full text from publisher

    File URL: https://www.bcb.gov.br/content/publicacoes/WorkingPaperSeries/wps22.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Barry, Christopher B & Starks, Laura T, 1984. "Investment Management and Risk Sharing with Multiple Managers," Journal of Finance, American Finance Association, vol. 39(2), pages 477-491, June.
    2. Pedro H. Albuquerque, 2001. "Os Impactos Econômicos da CPMF: Teoria e Evidência," Working Papers Series 21, Central Bank of Brazil, Research Department.
    3. 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.
    4. repec:bla:jfinan:v:53:y:1998:i:5:p:1821-1827 is not listed on IDEAS
    5. 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.
    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. Charles Lima De Almeida & Marco Aur�LIO Peres & Geraldo Da Silva E Souza & Benjamin Miranda Tabak, 2003. "Optimal monetary rules: the case of Brazil," Applied Economics Letters, Taylor & Francis Journals, vol. 10(5), pages 299-302, April.
    2. Sergio R. S. Souza & Benjamin M. Tabak & Daniel O. Cajueiro, 2008. "Long-Range Dependence In Exchange Rates: The Case Of The European Monetary System," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 199-223.
    3. Tito Nícias Teixeira da Silva Filho, 2001. "Estimando o Produto Potencial Brasileiro: Uma Abordagem de Função de Produção," Working Papers Series 17, Central Bank of Brazil, Research Department.
    4. Benjamin Miranda Tabak, 2003. "Monetary Policy Surprises and the Brazilian Term Structure of Interest Rates," Working Papers Series 70, Central Bank of Brazil, Research Department.
    5. Araújo, Aloísio Pessoa de & Leon, Márcia Saraiva, 2003. "Speculative attacks on debts and optimum currency area: a welfare analysis," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 514, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    6. Alexandre A. Tombini & Sergio A. Lago Alves, 2006. "The Recent Brazilian Disinflation Process and Costs," Working Papers Series 109, Central Bank of Brazil, Research Department.
    7. Tarsila Segalla Afanasieff & Priscilla Maria Villa Lhacer & Márcio I. Nakane, 2002. "The Determinants of Bank Interest Spread in Brazil," Money Affairs, CEMLA, vol. 0(2), pages 183-207, July-Dece.
    8. Arminio Fraga & Ilan Goldfajn & André Minella, 2004. "Inflation Targeting in Emerging Market Economies," NBER Chapters, in: NBER Macroeconomics Annual 2003, Volume 18, pages 365-416, National Bureau of Economic Research, Inc.
    9. Paulo Coutinho & Benjamin Miranda Tabak, 2002. "Delegated Portfolio Management," Working Papers Series 60, Central Bank of Brazil, Research Department.
    10. Benjamin Miranda Tabak, 2003. "On the Information Content of Oil Future Prices," Working Papers Series 65, Central Bank of Brazil, Research Department.
    11. Minella, Andre & de Freitas, Paulo Springer & Goldfajn, Ilan & Muinhos, Marcelo Kfoury, 2003. "Inflation targeting in Brazil: constructing credibility under exchange rate volatility," Journal of International Money and Finance, Elsevier, vol. 22(7), pages 1015-1040, December.
    12. Marcelo Kfoury Muinhos & Márcio I. Nakane, 2006. "Comparing equilibrium real interest rates: different approaches to measure Brazilian rates," Working Papers Series 101, Central Bank of Brazil, Research Department.
    13. Leonardo Soriano de Alencar & Márcio I. Nakane, 2004. "Bank Competition, Agency Costs and the Performance of the Monetary Policy," Working Papers Series 81, Central Bank of Brazil, Research Department.
    14. Benjamin Miranda Tabak. Solange Maria Guerra, 2002. "Stock Returns and Volatility," Working Papers Series 54, Central Bank of Brazil, Research Department.
    15. André Soares Loureiro & Fernando de Holanda Barbosa, 2004. "Risk Premia for Emerging Markets Bonds: Evidence from Brazilian Government Debt, 1996-2002," Working Papers Series 85, Central Bank of Brazil, Research Department.
    16. Aloísio P. Araújo & José Valentim M. Vicente, 2006. "Contagion, Bankruptcy and Social Welfare Analysis in a Financial Economy with Risk Regulation Constraint," Working Papers Series 118, Central Bank of Brazil, Research Department.
    17. Victorio Yi Tson Chu, 2002. "Credit Channel with Sovereign Credit Risk: an Empirical Test," Working Papers Series 51, Central Bank of Brazil, Research Department.
    18. Eui Jung Chang & Marcelo Kfoury Muinhos & Joanílio Rodolpho Teixeira, 2002. "Macroeconomic Coordination and Inflation Targeting in a Two-Country Model," Working Papers Series 50, Central Bank of Brazil, Research Department.
    19. Leonardo Soriano de Alencar & Márcio I. Nakane, 2003. "Real Balances in the Utility Function: Evidence for Brazil," Working Papers Series 68, Central Bank of Brazil, Research Department.
    20. Angelo Marsiglia Fasolo, 2006. "Interdependence and Contagion: an Analysis of Information Transmission in Latin America's Stock Markets," Working Papers Series 112, Central Bank of Brazil, Research Department.
    21. Tito Nícias Teixeira da Silva Filho, 2001. "Uma Definição Operacional de Estabilidade de Preços," Working Papers Series 35, Central Bank of Brazil, Research Department.

    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. Dipankar Mondal & N. Selvaraju, 2022. "Convexity, two-fund separation and asset ranking in a mean-LPM portfolio selection framework," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(1), pages 225-248, March.
    2. Hany Shawky & Ronald Forbes & Alan Frankle, 1983. "Liquidity Services and Capital Market Equilibrium: The Case for Money Market Mutual Funds," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 6(2), pages 141-152, June.
    3. Zubanov, Nick & Cadsby, Bram & Song, Fei, 2017. "The," IZA Discussion Papers 10542, Institute of Labor Economics (IZA).
    4. Kanwal Iqbal Khan & Syed M. Waqar Azeem Naqvi & Muhammad Mudassar Ghafoor & Rana Shahid Imdad Akash, 2020. "Sustainable Portfolio Optimization with Higher-Order Moments of Risk," Sustainability, MDPI, vol. 12(5), pages 1-14, March.
    5. Douglas J. Hodgson & Oliver Linton & Keith Vorkink, 2002. "Testing the capital asset pricing model efficiently under elliptical symmetry: a semiparametric approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(6), pages 617-639, December.
    6. Lu, Xiaomeng & Guo, Jiaojiao & Gan, Li, 2020. "International comparison of household asset allocation: Micro-evidence from cross-country comparisons," Emerging Markets Review, Elsevier, vol. 43(C).
    7. Haim Levy & Enrico De Giorgi & Thorsten Hens, "undated". "Prospect Theory and the CAPM: A contradiction or coexistence?," IEW - Working Papers 157, Institute for Empirical Research in Economics - University of Zurich.
    8. Miller, Matthew Edward, 2003. "An economic perspective on Iowa farm diversification in the twentieth century," ISU General Staff Papers 2003010108000018194, Iowa State University, Department of Economics.
    9. Siriopoulos, Costas & Fassas, Athanasios, 2012. "An investor sentiment barometer — Greek Implied Volatility Index (GRIV)," Global Finance Journal, Elsevier, vol. 23(2), pages 77-93.
    10. Joseph R. Blasi & Douglas L. Kruse & Harry M. Markowitz, 2010. "Risk and Lack of Diversification under Employee Ownership and Shared Capitalism," NBER Chapters, in: Shared Capitalism at Work: Employee Ownership, Profit and Gain Sharing, and Broad-based Stock Options, pages 105-136, National Bureau of Economic Research, Inc.
    11. Wenzelburger, Jan, 2008. "A Note on the Two-fund Separation Theorem," MPRA Paper 11014, University Library of Munich, Germany, revised 31 Sep 2008.
    12. Benoît Carmichael & Gilles Boevi Koumou & Kevin Moran, 2021. "The RQE-CAPM : New insights about the pricing of idiosyncratic risk," CIRANO Working Papers 2021s-28, CIRANO.
    13. Jan Lennartsson & Claes Ekman, 2024. "Smart betas, return models and the tangency portfolio weights," PLOS ONE, Public Library of Science, vol. 19(6), pages 1-19, June.
    14. Thomas J. Brennan & Andrew W. Lo, 2010. "Impossible Frontiers," Management Science, INFORMS, vol. 56(6), pages 905-923, June.
    15. van den Bremer, Ton & van der Ploeg, Frederick & Wills, Samuel, 2016. "The Elephant In The Ground: Managing Oil And Sovereign Wealth," European Economic Review, Elsevier, vol. 82(C), pages 113-131.
    16. Arturo Lorenzo Valdés & Antonio Ruiz Porras, 2014. "Un modelo Tgarch con una distribución t de student asimétrica y las hipótesis de racionalidad de los inversionistas bursátiles en Latinoamérica," Archivos Revista Economía y Política., Facultad de Ciencias Económicas y Administrativas, Universidad de Cuenca., vol. 19, pages 66-97, Enero.
    17. David S. Jones & V. Vance Roley, 1981. "Bliss Points in Mean-Variance Portfolio Models," NBER Technical Working Papers 0019, National Bureau of Economic Research, Inc.
    18. Ahmad H. Juma’h & Yazan Alnsour, 2018. "Using Social Media Analytics: The Effect of President Trump’s Tweets On Companies’ Performance," Journal of Accounting and Management Information Systems, Faculty of Accounting and Management Information Systems, The Bucharest University of Economic Studies, vol. 17(1), pages 100-121, March.
    19. Nolan Alexander & William Scherer, 2024. "Using Machine Learning to Forecast Market Direction with Efficient Frontier Coefficients," Papers 2404.00825, arXiv.org.
    20. DeMarzo, Peter & Skiadas, Costis, 1998. "Aggregation, Determinacy, and Informational Efficiency for a Class of Economies with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 80(1), pages 123-152, May.

    More about this item

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    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:bcb:wpaper:22. 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: Rodrigo Barbone Gonzalez (email available below). General contact details of provider: https://www.bcb.gov.br/en .

    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.