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Limiting Differences Between Forward and Futures Prices in a Lucas Consumption Model


  • Zvi Wiener
  • Simon Benninga
  • Aris Protopapadakis


A recent paper (Benninga-Protopapadakis 1994) considered a Lucas asset pricing model and showed that the pricing of forward and futures contracts was expressible as a simple matrix function. In this paper we derive limiting conditions for these differences and relate them to the eigenvectors of the state price matrix. We show that except for a zero-measure set of state price matrices, the differences are always small.

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  • Zvi Wiener & Simon Benninga & Aris Protopapadakis, "undated". "Limiting Differences Between Forward and Futures Prices in a Lucas Consumption Model," Rodney L. White Center for Financial Research Working Papers 17-94, Wharton School Rodney L. White Center for Financial Research.
  • Handle: RePEc:fth:pennfi:17-94

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    References listed on IDEAS

    1. Richard, Scott F. & Sundaresan, M., 1981. "A continuous time equilibrium model of forward prices and futures prices in a multigood economy," Journal of Financial Economics, Elsevier, vol. 9(4), pages 347-371, December.
    2. Robert A. JARROW & George S. OLDFIELD, 2008. "Forward Contracts And Futures Contracts," World Scientific Book Chapters,in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 11, pages 237-246 World Scientific Publishing Co. Pte. Ltd..
    3. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    4. Benninga, Simon & Protopapadakis, Aris, 1994. "Forward and Futures Prices with Markovian Interest-Rate Processes," The Journal of Business, University of Chicago Press, vol. 67(3), pages 401-421, July.
    5. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    6. Benninga, Simon & Protopapadakis, Aris, 1983. "Real and Nominal Interest Rates under Uncertainty: The Fisher Theorem and the Term Structure," Journal of Political Economy, University of Chicago Press, vol. 91(5), pages 856-867, October.
    7. Cox, John C. & Ingersoll, Jonathan Jr. & Ross, Stephen A., 1981. "The relation between forward prices and futures prices," Journal of Financial Economics, Elsevier, vol. 9(4), pages 321-346, December.
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