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Defining Residual Risk-Sharing Opportunities: Pooling World Income Components

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  • 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.

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Bibliographic Info

Paper provided by Yale School of Management in its series Yale School of Management Working Papers with number ysm209.

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Date of creation: 10 Jul 2001
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Handle: RePEc:ysm:somwrk:ysm209

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Web page: http://icf.som.yale.edu/
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Keywords: Contract design; derivatives; hedging; diversification; macro markets; claims on linear income combinations (CLICs); Pooling World Income Components (pooling-WICs);

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  1. Stefano Athanasoulis & Eric van Wincoop, 1997. "Growth uncertainty and risksharing," Staff Reports 30, Federal Reserve Bank of New York.
  2. Demange Gabrielle & Laroque Guy, 1995. "Optimality of Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 65(1), pages 218-232, February.
  3. Cuny, Charles J, 1993. "The Role of Liquidity in Futures Market Innovations," Review of Financial Studies, Society for Financial Studies, vol. 6(1), pages 57-78.
  4. 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 301-29.
  5. Summers, Robert & Heston, Alan, 1991. "The Penn World Table (Mark 5): An Expanded Set of International Comparisons, 1950-1988," The Quarterly Journal of Economics, MIT Press, vol. 106(2), pages 327-68, May.
  6. Eric van Wincoop, 1998. "How big are potential welfare gains from international risksharing?," Staff Reports 37, Federal Reserve Bank of New York.
  7. 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.
  8. 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.
  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. Shiller, Robert J, 1993. " Measuring Asset Values for Cash Settlement in Derivative Markets: Hedonic Repeated Measures Indices and Perpetual Futures," Journal of Finance, American Finance Association, vol. 48(3), pages 911-31, July.
  11. Wincoop, Eric van, 1994. "Welfare gains from international risksharing," Journal of Monetary Economics, Elsevier, vol. 34(2), pages 175-200, October.
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