On Computation of Arbitrage for Markets with Friction

1. Allingham, M., 1991. Arbitrage, St. Martin’s Press, New York.

   Google Scholar 

2. Ardalan, K., The no-arbitrage condition and financial markets with transaction costs and heterogeneous information: the bid-ask spread, Global Finance Journal, 1999, 10(1): 83.

   Article  MathSciNet  Google Scholar 

3. Arrow, K. J., Debreu, G., Existence of an equilibrium for a competitive economy, Econometrica, 1954, 22: 265.

   Article  MATH  MathSciNet  Google Scholar 

4. Black, F., Sholes, M., The pricing of options and corporate liabilities, Journal of Political Economy, 1973, 81: 637.

   Article  Google Scholar 

5. Borwein, J.M., 1977. Proper Efficient Points for Maximizations with Respect to Cones. SIAM Journal on Control and Optimization 15, 1977, pp. 57–63.

   Article  MATH  MathSciNet  Google Scholar 

6. J. C. Cox and C. F. Huang, Optimal consumption and portfolio policies when asset prices follow a diffusion process, Journal of Economic Theory 49 (1989), 33–83.

   Article  MATH  MathSciNet  Google Scholar 

7. Dermody, J. C., Prisman, E.Z., No arbitrage and valuation in market with realistic transaction costs, Journal of Financial and Quantitative Analysis 1993, 28(1): 65.

   Article  Google Scholar 

8. J. B. Detemple and F. Zapatero, Optimal consumption-portfolio policies with habit formation, Mathematical Finance2 (1992), no. 4, 251–274.

   Article  MATH  Google Scholar 

9. Duffie, D., Dynamic asset pricing theory, 2nd ed., Princeton University Press, New Jersey, 1996.

   Google Scholar 

10. P. Dybvig and S. Ross, Arbitrage, in The New Palgrave: A Dictionary of Economics, 1, J. Eatwell, M. Milgate and P. Newman, eds., London: McMillan, 1987,, pp. 100–106.

    Google Scholar 

11. Garey, M. R., Johnson, D.S., Computers and Intractability: a Guide to the Theory of NP-completeness, New York: W.H. Freeman, 1979.

    MATH  Google Scholar 

12. Garman, M. B., Ohlson, J.A., Valuation of risky assets in arbitrage-free economies with transactions costs, Journal of Financial Economics, 1981, 9: 271.

    Article  Google Scholar 

13. R. C. Green, and S. Srivastava, “Risk Aversion and Arbitrage”, The Journal of Finance, Vol. 40, pp. 257–268, 1985.

    Article  MathSciNet  Google Scholar 

14. N. H. Hakansson, Optimal investment and consumption strategies under risk for a class of utility functions, Econometrica38 (1970), no. 5, 587–607.

    Article  MATH  Google Scholar 

15. H. He and N. D. Pearson, Consumption and portfolio policies with incomplete markets and short-sale constrains: the infinite dimensional case, Journal of Economic Theory 54 (1991), 259–304.

    Article  MATH  MathSciNet  Google Scholar 

16. H. He and N. D. Pearson, Consumption and portfolio policies with incomplete markets and short-sale constrains: the finite dimensional case, Mathematical Finance 1(1991), no. 3, 1–10.

    Article  MATH  MathSciNet  Google Scholar 

17. Hirsch, M. D., Papadimitriou, C. H., Vavasis, S. A., Exponential lower bounds for finding brouwer fixed points, Journal of Complexity, 1979, 5: 379.

    Article  MathSciNet  Google Scholar 

18. I. Karatzas, J. P. Lehoczky, and S. E. Shreve, Optimal portfolio and consumption decisions for a “small investor” on a finite horizon, SIAM Journal on Control and Optimization25 (1987), no. 6, 1557–1586.

    Article  MATH  MathSciNet  Google Scholar 

19. Merton, R.C., 1973. Theory of Rational Option Pricing. Bell Journal of Economics and Management Science 4, 141–183.

    Article  MathSciNet  Google Scholar 

20. R. C. Merton, Optimum consumption and portfolio rules in a continuous-time model, Journal of Economic Theory 3 (1971), 373–413.

    Article  MathSciNet  Google Scholar 

21. H. Pham and N. Touzi, The fundamental theorem of asset pricing with cone constraints, Journal of Mathematical Economics, 31, 265–279, 1999.

    Article  MATH  MathSciNet  Google Scholar 

22. R. T. Rockafellar, Convex AnalysisPrinceton, New Jersey, Princeton University Press, 1970.

    MATH  Google Scholar 

23. Ross, S.A., The arbitrage theory of capital asset pricing, Journal of Economic Theory, 1976, 13: 341.

    Article  MathSciNet  Google Scholar 

24. S. A. Ross, “Return, Risk and Arbitrage”, Risk and Return in Finance, Friend and Bicksler (eds.), Cambridge, Mass., Ballinger, pp. 189–218, 1977.

    Google Scholar 

25. Scarf, H., The Computation of Economic Equilibria, New Haven: Yale University Press, 1973.

    Google Scholar 

26. S. P. Sethi, Optimal consumption and investment with bankruptcy, Kluwer, Boston, 1997.

    Google Scholar 

27. H. Shirakawa, Optimal consumption and portfolio selection with incomplete markets and upper and lower bound constaints, Mathematical Finance 4 (1994), no. 1, 1–24.

    Article  MATH  MathSciNet  Google Scholar 

28. H. Shirakawa and H. Kassai, Optimal consumption and arbitrage in incomplete, finite state security markets, Journal of Operations Research 45 (1993), 349–372.

    Article  MATH  MathSciNet  Google Scholar 

29. S. E. Shreve, H. M. Soner, and G.-L. Xu, Optimal investment and consumption with two bounds and transaction costs, tMathematical Finance 1 (1991), no. 3, 53–84.

    Article  MATH  Google Scholar 

30. Smith, A., An Inquiry into the Nature and Causes of the Wealth of Nations, Modern Library, 1937.

    Google Scholar 

31. Spremann, K., The simple analytics of arbitrage, Capital Market Equilibria(ed.Bamberg, G., Spremann, K.), New York: Springer-Verlag, 1986, pp. 189–207.

    Google Scholar 

32. Wilhelm, J., Arbitrage Theory, Berlin: Springer-Verlag, 1985.

    MATH  Google Scholar 

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