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Arbitrage and Martingales with Taxation


  • Ross, Stephen A


This paper extends the martingale analysis of no arbitrage pricing to worlds with taxation. The absence of arbitrage is shown to imply the existence of different shadow prices for income streams that are subject to differing tax treatments. For example , no arbitrage implies the existence of different martingale measures for capita l gains and for ordinary income when they are differentially taxed, andfor item s such as depreciation expenses that influence only after- tax cash flows. The analysis is applied to several topics in finance including the debt/equity decision, tax options, and the taxation of dividends and pensions. Copyright 1987 by University of Chicago Press.

Suggested Citation

  • Ross, Stephen A, 1987. "Arbitrage and Martingales with Taxation," Journal of Political Economy, University of Chicago Press, vol. 95(2), pages 371-393, April.
  • Handle: RePEc:ucp:jpolec:v:95:y:1987:i:2:p:371-93

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    References listed on IDEAS

    1. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    2. B. Douglas Bernheim & Andrei Shleifer & Lawrence H. Summers, 1984. "Bequests as a Means of Payment," NBER Working Papers 1303, National Bureau of Economic Research, Inc.
    3. Kotlikoff, Laurence J & Spivak, Avia, 1981. "The Family as an Incomplete Annuities Market," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 372-391, April.
    4. Diamond, P. A. & Hausman, J. A., 1984. "Individual retirement and savings behavior," Journal of Public Economics, Elsevier, vol. 23(1-2), pages 81-114.
    5. Mervyn A. King & Louis Dicks-Mireaux, 1981. "Asset Holdings and the Life Cycle," NBER Working Papers 0614, National Bureau of Economic Research, Inc.
    6. Barro, Robert J & Friedman, James W, 1977. "On Uncertain Lifetimes," Journal of Political Economy, University of Chicago Press, vol. 85(4), pages 843-849, August.
    7. Eytan Sheshinski & Yoram Weiss, 1981. "Uncertainty and Optimal Social Security Systems," The Quarterly Journal of Economics, Oxford University Press, vol. 96(2), pages 189-206.
    8. B. Douglas Bernheim, 1987. "Dissaving after Retirement: Testing the Pure Life Cycle Hypothesis," NBER Chapters,in: Issues in Pension Economics, pages 237-280 National Bureau of Economic Research, Inc.
    9. Wilson, Charles, 1977. "A model of insurance markets with incomplete information," Journal of Economic Theory, Elsevier, vol. 16(2), pages 167-207, December.
    10. Zvi Eckstein & Martin S. Eichenbaum & Dan Peled, 1985. "The Distribution of Wealth and Welfare in the Presence of Incomplete Annuity Markets," The Quarterly Journal of Economics, Oxford University Press, vol. 100(3), pages 789-806.
    11. Abel, Andrew B, 1985. "Precautionary Saving and Accidental Bequests," American Economic Review, American Economic Association, vol. 75(4), pages 777-791, September.
    12. King, M A & Dicks-Mireaux, L-D L, 1982. "Asset Holdings and the Life-Cycle," Economic Journal, Royal Economic Society, vol. 92(366), pages 247-267, June.
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