Skip to main content
Log in

Asset Pricing under Progressive Taxes and Existence of General Equilibrium

  • Published:
Journal of Global Optimization Aims and scope Submit manuscript

Abstract

This paper shows that the existence of general equilibrium in a two-period economy with financial markets and progressive anonymous tax system is not at all problematic, provided securities are purely financial. We explore the concepts of weakly and strongly arbitrage-free security price for return and tax system, and prove arbitrage-free asset pricing theorems without short-sale restrictions. A general equilibrium is a set of current and future prices (contingent on uncertain events) and a set of individual plans such that all markets are cleared. The existence of such an equilibrium is proved under the following conditions: continuous, weakly convex, strictly monotone, complete preferences and strictly positive endowments.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C.D. Aliprantis D.J. Brown O. Burkinshaw (1989) Existence and Optimality of Competitive Equilibria Springer-Verlag Berlin, Heidelberg

    Google Scholar 

  2. S. Basak B. Croitoru (2001) ArticleTitleNon-linear taxation, tax-arbitrage and equilibrium asset prices Journal of Mathematical Economics 35 347–382 Occurrence Handle10.1016/S0304-4068(00)00071-9

    Article  Google Scholar 

  3. Z. Chen (1995) ArticleTitleFinancial innovation and arbitrage pricing in frictional economics Journal of Economic Theory 65 117–135 Occurrence Handle10.1006/jeth.1995.1004

    Article  Google Scholar 

  4. S.A. Clark (1993) ArticleTitleThe valuation problem in arbitrage pricing theory Journal of Mathematical Economics 22 463–478 Occurrence Handle10.1016/0304-4068(93)90037-L

    Article  Google Scholar 

  5. Clark S.A., (1994), Vector space methods in additive theory. Journal of Mathematical Economics, conditionally accepted.

  6. R.M. Dammon R.C. Green (1987) ArticleTitleTax arbitrage and the existence of equilibrium prices for financial assets Journal of Finance 42 1143–1166

    Google Scholar 

  7. D. Duffie (1987) ArticleTitleStochastic equilibria with incomplete financial markets Journal of Economic Theory 41 405–416 Occurrence Handle10.1016/0022-0531(87)90027-5

    Article  Google Scholar 

  8. D. Duffie (2001) Dynamic Asset Pricing Theory EditionNumber3 Princeton University Press Princeton, NJ

    Google Scholar 

  9. M. Florenzano P. Gourdel (1994) ArticleTitleT-period economies with incomplete markets Economics Letters 44 91–97 Occurrence Handle10.1016/0165-1765(93)00308-B

    Article  Google Scholar 

  10. J.M. Harrison D.M. Kreps (1979) ArticleTitleMartingales and arbitrage in multi-period security markets Journal of Economic Theory 20 381–408 Occurrence Handle10.1016/0022-0531(79)90043-7

    Article  Google Scholar 

  11. W. Hildenbrand (1974) Core and Equilibria of A Large Economy Princeton University Press Princeton, NJ

    Google Scholar 

  12. C. Jones F. Milne (1992) ArticleTitleTax arbitrage, existence of equilibrium, and bounded tax rebates Mathematical Finance 2 189–196

    Google Scholar 

  13. E. Jouini (2001) ArticleTitleArbitrage and control problems in finance. A presentation Journal of Mathematical Economics 35 167–183 Occurrence Handle10.1016/S0304-4068(00)00063-X Occurrence HandleMR1822342

    Article  MathSciNet  Google Scholar 

  14. E. Jouini H. Kallal (1995a) ArticleTitleMartingales and arbitrage in securities markets with transaction costs Journal of Economic Theory 66 178–197 Occurrence Handle10.1006/jeth.1995.1037

    Article  Google Scholar 

  15. E. Jouini H. Kallal (1995b) ArticleTitleArbitrage in securities markets with short-sales constraints Mathematical Finance 5 197–232

    Google Scholar 

  16. E. Jouini H. Kallal C. Napp (2001) ArticleTitleArbitrage and viability in securities markets with fixed trading costs Journal of Mathematical Economics 35 197–221 Occurrence Handle10.1016/S0304-4068(00)00065-3

    Article  Google Scholar 

  17. Y.M. Kabanov C. Stricker (2001) ArticleTitleThe Harrison–Pliska arbitrage pricing theorem under transaction costs Journal of Mathematical Economics 35 185–196 Occurrence Handle10.1016/S0304-4068(00)00064-1

    Article  Google Scholar 

  18. D.M. Kreps (1981) ArticleTitleArbitrage and equilibrium in economies with infinitely many commodities Journal of Mathematical Economics 8 15–35 Occurrence Handle10.1016/0304-4068(81)90010-0

    Article  Google Scholar 

  19. M. Magill W. Shafer (1991) Incomplete markets W. Hildenbrand H. Sonnenschein (Eds) Handbook of Mathematical Economics, Vol. IV. Elsevier Science Publisher Amsterdam 1523–1614

    Google Scholar 

  20. H. Pham N. Touzi (1999) ArticleTitleThe fundamental theorem of asset pricing with cone constraints Journal of Mathematical Economics 31 265–279 Occurrence Handle10.1016/S0304-4068(97)00059-1

    Article  Google Scholar 

  21. J. Werner (1985) ArticleTitleEquilibrium in economies with incomplete financial markets Journal of Economic Theory 36 110–119 Occurrence Handle10.1016/0022-0531(85)90081-X

    Article  Google Scholar 

  22. S. Zhang C. Xu X. Deng (2002) ArticleTitleDynamic arbitrage-free asset pricing with proportional transaction costs Mathematical Finance 12 89–97 Occurrence Handle10.1111/1467-9965.00006

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hui Huang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Huang, H. Asset Pricing under Progressive Taxes and Existence of General Equilibrium. J Glob Optim 31, 471–491 (2005). https://doi.org/10.1007/s10898-004-1322-x

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10898-004-1322-x

Keywords

Navigation