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Defining Residual Risk-Sharing Opportunities: Pooling World Income Components

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Listed:
  • Stefano Athanasoulis

    (University of Notre Dame, Department of Finance)

  • Robert J. Shiller

    (Cowles Foundation)

Abstract

We construct a new method of decomposing the variance of national incomes into components in such a way as to indicate the most important 'residual' risk-sharing opportunities among peoples of the world. The risk-sharing opportunities we study are nonsystematic risk-sharing opportunities. These are the risk-sharing opportunities that remain if systematic risk were already shared, see Athanasoulis and Shiller (2000). The new method developed here uses a simpler approach to deriving the components based on pure variance reduction. With the new method, the income component securities are derived in terms of eigenvectors of a transformed variance matrix of world incomes, but with this method the transformation is to use the residuals when incomes are regressed on world income instead of deviations of incomes from average world income as in Athanasoulis and Shiller (2001). The method is applied using Summers-Heston (1991)data on national incomes for large countries 1950-1990, using two different methods of estimating variances.

Suggested Citation

  • Stefano Athanasoulis & Robert J. Shiller, 2001. "Defining Residual Risk-Sharing Opportunities: Pooling World Income Components," Yale School of Management Working Papers ysm209, Yale School of Management.
  • Handle: RePEc:ysm:somwrk:ysm209
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    References listed on IDEAS

    as
    1. Athanasoulis, Stefano G & Shiller, Robert J, 2000. "The Significance of the Market Portfolio," Review of Financial Studies, Society for Financial Studies, vol. 13(2), pages 301-329.
    2. van Wincoop, Eric, 1999. "How big are potential welfare gains from international risksharing?," Journal of International Economics, Elsevier, vol. 47(1), pages 109-135, February.
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    5. Stefano G. Athanasoulis & Robert J. Shiller, 2001. "World Income Components: Measuring and Exploiting Risk-Sharing Opportunities," American Economic Review, American Economic Association, vol. 91(4), pages 1031-1054, September.
    6. Cole, Harold L. & Obstfeld, Maurice, 1991. "Commodity trade and international risk sharing : How much do financial markets matter?," Journal of Monetary Economics, Elsevier, vol. 28(1), pages 3-24, August.
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    8. Tesar, Linda L., 1995. "Evaluating the gains from international risksharing," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 42(1), pages 95-143, June.
    9. Lewis, Karen K., 2000. "Why do stocks and consumption imply such different gains from international risk sharing?," Journal of International Economics, Elsevier, vol. 52(1), pages 1-35, October.
    10. Athanasoulis, Stefano G. & van Wincoop, Eric, 2000. "Growth uncertainty and risksharing," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 477-505, June.
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    More about this item

    Keywords

    Contract design; derivatives; hedging; diversification; macro markets; claims on linear income combinations (CLICs); Pooling World Income Components (pooling-WICs);
    All these keywords.

    JEL classification:

    • G00 - Financial Economics - - General - - - General
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • F00 - International Economics - - General - - - General

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