Dynamic Portfolio Optimization with Transaction Costs: Heuristics and Dual Bounds

References

• Akian M., Menaldi J. L., Sulem A. On an investment-consumption model with transaction costs. SIAM J. Control Optim. (1996) 34(1):329–364Crossref, Google Scholar
• Andersen L., Broadie M. Primal-dual simulation algorithm for pricing multidimensional American options. Management Sci. (2004) 50(9):1222–1234Link, Google Scholar
• Brandt M. W., Aït-Sahalia Y., Hansen L. P. Portfolio choice problems. Handbook of Financial Econometrics (2010) (Elsevier, Oxford, UK) 269–336Crossref, Google Scholar
• Brown D. B., Smith J. E., Sun P. Information relaxations and duality in stochastic dynamic programs. Oper. Res. (2009) 58(4):785–801Google Scholar
• Casella G., Berger R. L.Statistical Inference (2002) 2nd ed.(Duxbury Press, Pacific Grove, CA) Google Scholar
• Chryssikou E. Multiperiod portfolio optimization in the presence of transaction costs. (1998) . Ph.D. dissertation, Sloan School of Management, Massachusetts Institute of Technology, BostonGoogle Scholar
• Constantinides G. Multiperiod consumption and investment behavior with convex transaction costs. Management Sci. (1979) 25(11):1127–1137Link, Google Scholar
• Cvitanić J., Karatzas I. Convex duality in constrained portfolio optimization. Ann. Appl. Probab. (1992) 2(4):767–818Crossref, Google Scholar
• Davis M. H. A., Karatzas I., Kelly F. P. A deterministic approach to optimal stopping. Probability, Statistics and Optimization: A Tribute to Peter Whittle (1994) (John Wiley & Sons, Chichester, UK) 455–466Google Scholar
• Davis M. H. A., Norman A. Portfolio selection with transaction costs. Math. Oper. Res. (1990) 15(4):676–713Link, Google Scholar
• Gârleanu N., Pedersen L. Dynamic trading with predictable returns and transaction costs. (2009) . Working paper, Haas School of Business, University of California, Berkeley, BerkeleyGoogle Scholar
• Glasserman P.Monte Carlo Methods in Financial Engineering (2004) (Springer-Verlag, New York) Crossref, Google Scholar
• Haugh M. B., Jain A. The dual approach to portfolio evaluation: A comparison of the static, myopic and generalized buy-and-hold strategies. Quant. Finance (2011) 11(1):81–99Crossref, Google Scholar
• Haugh M. B., Kogan L. Pricing American options: A duality approach. Oper. Res. (2004) 52(2):258–270Link, Google Scholar
• Haugh M. B., Kogan L., Wang J. Evaluating portfolio policies: A duality approach. Oper. Res. (2006) 54(3):405–418Link, Google Scholar
• Judd K. L.Numerical Methods in Economics (1998) (MIT Press, Cambridge, MA) Google Scholar
• Leland H. E. Optimal portfolio management with transaction costs and capital gains taxes. (2000) . Technical report, Haas School of Business, University of California, Berkeley, BerkeleyGoogle Scholar
• Lynch A. W. Portfolio choice and equity characteristics: Characterizing the hedging demands induced by return predictability. J. Financial Econom. (2001) 62(1):67–130Crossref, Google Scholar
• Lynch A. W., Tan S. Multiple risky assets, transaction costs and return predictability: Allocation rules and implications for U.S. investors. J. Financial Quant. Anal. (2010) 45(4):1015–1053Crossref, Google Scholar
• Merton R. C. Lifetime portfolio selection under uncertainty: The continuous time case. Rev. Econom. Statist. (1969) 51(3):247–257Crossref, Google Scholar
• Merton R. C. Optimum consumption and portfolio rules in a continuous time model. J. Econom. Theory (1971) 3(4):373–413Crossref, Google Scholar
• Mossin J. Optimal multiperiod portfolio policies. J. Bus. (1968) 41(2):215–229Crossref, Google Scholar
• Muthuraman K. A computational scheme for optimal investment-consumption with proportional transaction costs. J. Econom. Dynam. Control (2007) 31(4):1132–1159Crossref, Google Scholar
• Muthuraman K., Kumar S. Multi-dimensional portfolio optimization with proportional transaction costs. Math. Finance (2006) 16(2):301–335Crossref, Google Scholar
• Muthuraman K., Zha H. Simulation based portfolio optimization for large portfolios with transaction costs. Math. Finance (2008) 18(1):115–134Crossref, Google Scholar
• Rogers L. C. G. Monte Carlo valuation of American options. Math. Finance (2002) 12(3):271–286Crossref, Google Scholar
• Rogers L. C. G., Bank P., Baudoin F., Föllmer H., Rogers L. C. G., Soner M., Touzi N. Duality in constrained optimal investment and consumption problems: A synthesis. Paris-Princeton Lectures on Mathematical Finance 2002 (2003) 1814(Springer, Berlin) 95–131Lecture Notes in MathematicsCrossref, Google Scholar
• Samuelson P. Lifetime portfolio selection by dynamic stochastic programming. Rev. Econom. Statist. (1969) 51(3):239–246Crossref, Google Scholar
• Shreve S. E., Soner H. M. Optimal investment and consumption with transaction costs. Ann. Appl. Probab. (1994) 4(3):609–692Crossref, Google Scholar
• Stroud A. H.Approximate Calculation of Multiple Integrals (1971) (Prentice-Hall, Englewood Cliffs, NJ) Google Scholar