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

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  • Zvi Wiener
  • Simon Benninga
  • Aris Protopapadakis

Abstract

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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Paper provided by Wharton School Rodney L. White Center for Financial Research in its series Rodney L. White Center for Financial Research Working Papers with number 17-94.

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Handle: RePEc:fth:pennfi:17-94

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  1. 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 401-21, July.
  2. Jarrow, Robert A. & Oldfield, George S., 1981. "Forward contracts and futures contracts," Journal of Financial Economics, Elsevier, vol. 9(4), pages 373-382, December.
  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. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  5. 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.
  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 856-67, 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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