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Finite element method for pricing European contingent claims on multiple assets. Part I: semigroup approach and regularity estimates


  • Fausto Gozzi
  • Simona Sanfelici


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Suggested Citation

  • Fausto Gozzi & Simona Sanfelici, 2002. "Finite element method for pricing European contingent claims on multiple assets. Part I: semigroup approach and regularity estimates," Computing in Economics and Finance 2002 129, Society for Computational Economics.
  • Handle: RePEc:sce:scecf2:129

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    References listed on IDEAS

    1. Budd, Alan & Dicks, Geoffrey & Holly, Sean & Keating, Giles & Robinson, Bill, 1984. "The London Business School econometric model of the UK," Economic Modelling, Elsevier, vol. 1(4), pages 355-420, October.
    2. S.G. Hall & S.G.B. Henry, 1985. "Rational Expectations in an Econometric Model: Niesr Model 8," National Institute Economic Review, National Institute of Economic and Social Research, vol. 114(1), pages 58-68, November.
    3. Lucas, Robert E, Jr, 1973. "Some International Evidence on Output-Inflation Tradeoffs," American Economic Review, American Economic Association, vol. 63(3), pages 326-334, June.
    4. Sargent, Thomas J., 1991. "Equilibrium with signal extraction from endogenous variables," Journal of Economic Dynamics and Control, Elsevier, vol. 15(2), pages 245-273, April.
    5. Minford, A P L & Peel, D A, 1983. "Some Implications of Partial Current Information Sets in Macroeconomic Models Embodying Rational Expectations," The Manchester School of Economic & Social Studies, University of Manchester, vol. 51(3), pages 235-249, September.
    6. Jean-Pascal Benassy, 2001. "The Phillips Curve and Optimal Policy in a Structural Signal Extraction Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(1), pages 58-74, January.
    7. repec:sae:niesru:v:114:y::i:1:p:58-68 is not listed on IDEAS
    8. Pearlman, Joseph & Currie, David & Levine, Paul, 1986. "Rational expectations models with partial information," Economic Modelling, Elsevier, vol. 3(2), pages 90-105, April.
    9. Barro, Robert J, 1980. "A Capital Market in an Equilibrium Business Cycle Model," Econometrica, Econometric Society, vol. 48(6), pages 1393-1417, September.
    10. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    11. Benassy, Jean-Pascal, 1999. "Analytical solutions to a structural signal extraction model: Lucas 1972 revisited," Journal of Monetary Economics, Elsevier, vol. 44(3), pages 509-521, December.
    12. Minford, Patrick & Webb, Bruce, 2005. "Estimating large rational expectations models by FIML--some experiments using a new algorithm with bootstrap confidence limits," Economic Modelling, Elsevier, vol. 22(1), pages 187-205, January.
    13. Matthews, K. G. P. & Minford, A. P. L. & Blackman, S. C., 1994. "An algorithm for the solution of non-linear forward rational expectations models with current partial information," Economic Modelling, Elsevier, vol. 11(3), pages 351-358, July.
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    More about this item


    contingent claim pricing; finite element method; semigroup approach; energy method; degenerate parabolic equations; discontinuous data.;

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General


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