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Consumption and portfolio policies with incomplete markets and short-sale constraints: The infinite dimensional case

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Cited by:

  1. Christoph Czichowsky & Rémi Peyre & Walter Schachermayer & Junjian Yang, 2018. "Shadow prices, fractional Brownian motion, and portfolio optimisation under transaction costs," Post-Print hal-02373296, HAL.
  2. YiLi Chien & Hanno Lustig, 2010. "The Market Price of Aggregate Risk and the Wealth Distribution," The Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1596-1650, April.
  3. Vila, Jean-Luc & Zariphopoulou, Thaleia, 1997. "Optimal Consumption and Portfolio Choice with Borrowing Constraints," Journal of Economic Theory, Elsevier, vol. 77(2), pages 402-431, December.
  4. Jin, Xing & Zhang, Kun, 2013. "Dynamic optimal portfolio choice in a jump-diffusion model with investment constraints," Journal of Banking & Finance, Elsevier, vol. 37(5), pages 1733-1746.
  5. Kristopher Gerardi & Adam Hale Shapiro & Paul S. Willen, 2007. "Subprime outcomes: risky mortgages, homeownership experiences, and foreclosures," Working Papers 07-15, Federal Reserve Bank of Boston.
  6. Du Du & Heng-fu Zou, 2008. "Intertemporal Portfolio Choice under Multiple Types of Event Risks," CEMA Working Papers 332, China Economics and Management Academy, Central University of Finance and Economics.
  7. Jouini, Elyes & Kallal, Hedi, 2001. "Efficient Trading Strategies in the Presence of Market Frictions," The Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 343-369.
  8. John H. Cochrane, 2014. "A Mean-Variance Benchmark for Intertemporal Portfolio Theory," Journal of Finance, American Finance Association, vol. 69(1), pages 1-49, February.
  9. Romain Deguest & Lionel Martellini & Vincent Milhau, 2018. "A Reinterpretation of the Optimal Demand for Risky Assets in Fund Separation Theorems," Management Science, INFORMS, vol. 64(9), pages 4333-4347, September.
  10. Ioannis Karatzas & Gordan Zitkovic, 2007. "Optimal consumption from investment and random endowment in incomplete semimartingale markets," Papers 0706.0051, arXiv.org.
  11. Bäuerle Nicole & Chen An, 2019. "Optimal retirement planning under partial information," Statistics & Risk Modeling, De Gruyter, vol. 36(1-4), pages 37-55, December.
  12. Jérôme Detemple & Angel Serrat, 2003. "Dynamic Equilibrium with Liquidity Constraints," The Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 597-629.
  13. Ma, Qingyin & Stachurski, John & Toda, Alexis Akira, 2022. "Unbounded dynamic programming via the Q-transform," Journal of Mathematical Economics, Elsevier, vol. 100(C).
  14. Cuoco, Domenico & Cvitanic, Jaksa, 1998. "Optimal consumption choices for a 'large' investor," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 401-436, March.
  15. Oleksii Mostovyi, 2015. "Necessary and sufficient conditions in the problem of optimal investment with intermediate consumption," Finance and Stochastics, Springer, vol. 19(1), pages 135-159, January.
  16. Michael J. Stutzer, 1989. "Duality and arbitrage with transactions costs: theory and applications," Staff Report 128, Federal Reserve Bank of Minneapolis.
  17. Bernard Dumas & Andrew Lyasoff, 2012. "Incomplete-Market Equilibria Solved Recursively on an Event Tree," Journal of Finance, American Finance Association, vol. 67(5), pages 1897-1941, October.
  18. Paul Willen & Felix Kubler, 2006. "Collateralized Borrowing and Life-Cycle Portfolio Choice," NBER Working Papers 12309, National Bureau of Economic Research, Inc.
  19. Larsen, Kasper & Zitkovic, Gordan, 2007. "Stability of utility-maximization in incomplete markets," Stochastic Processes and their Applications, Elsevier, vol. 117(11), pages 1642-1662, November.
  20. Christoph Czichowsky & Walter Schachermayer, 2015. "Portfolio optimisation beyond semimartingales: shadow prices and fractional Brownian motion," Papers 1505.02416, arXiv.org, revised Aug 2016.
  21. A. Cadenillas & S. P. Sethi, 1997. "Consumption-Investment Problem with Subsistence Consumption, Bankruptcy, and Random Market Coefficients," Journal of Optimization Theory and Applications, Springer, vol. 93(2), pages 243-272, May.
  22. Christian Gourieroux & Jean Paul Laurent & Huyên Pham, 1998. "Mean‐Variance Hedging and Numéraire," Mathematical Finance, Wiley Blackwell, vol. 8(3), pages 179-200, July.
  23. Loewenstein, Mark & Willard, Gregory A., 2000. "Rational Equilibrium Asset-Pricing Bubbles in Continuous Trading Models," Journal of Economic Theory, Elsevier, vol. 91(1), pages 17-58, March.
  24. Wiesemann, Thomas, 1996. "Managing a value-preserving portfolio over time," European Journal of Operational Research, Elsevier, vol. 91(2), pages 274-283, June.
  25. Oleksii Mostovyi, 2011. "Necessary and sufficient conditions in the problem of optimal investment with intermediate consumption," Papers 1107.5852, arXiv.org, revised Jul 2012.
  26. David Criens & Lars Niemann, 2022. "Robust utility maximization with nonlinear continuous semimartingales," Papers 2206.14015, arXiv.org, revised Aug 2023.
  27. X. Chao & K. Lai & Shou-Yang Wang & Mei Yu, 2005. "Optimal Consumption Portfolio and No-Arbitrage with Nonproportional Transaction Costs," Annals of Operations Research, Springer, vol. 135(1), pages 211-221, March.
  28. Schwartz, Eduardo S & Tebaldi, Claudio, 2004. "Illiquid Assets and Optimal Portfolio Choice," University of California at Los Angeles, Anderson Graduate School of Management qt7q65t12x, Anderson Graduate School of Management, UCLA.
  29. Bardhan, Indrajit, 1995. "Synthetic replication of American contingent claims when portfolios are constrained," Stochastic Processes and their Applications, Elsevier, vol. 57(1), pages 149-165, May.
  30. repec:dau:papers:123456789/5593 is not listed on IDEAS
  31. John Y. Campbell & Luis M. Viceira, 1999. "Consumption and Portfolio Decisions when Expected Returns are Time Varying," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 433-495.
  32. Jessica A. Wachter, 2010. "Asset Allocation," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 175-206, December.
  33. David Criens & Lars Niemann, 2023. "Robust utility maximization with nonlinear continuous semimartingales," Mathematics and Financial Economics, Springer, volume 17, number 5, June.
  34. Jouini, Elyes, 2001. "Arbitrage and control problems in finance: A presentation," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 167-183, April.
  35. Christoph Czichowsky & Walter Schachermayer, 2014. "Duality Theory for Portfolio Optimisation under Transaction Costs," Papers 1408.5989, arXiv.org.
  36. repec:dau:papers:123456789/5374 is not listed on IDEAS
  37. Dimitris Bertsimas & Leonid Kogan & Andrew W. Lo, 1997. "Pricing and Hedging Derivative Securities in Incomplete Markets: An E-Aritrage Model," NBER Working Papers 6250, National Bureau of Economic Research, Inc.
  38. Dimitris Bertsimas & Leonid Kogan & Andrew W. Lo, 2001. "Hedging Derivative Securities and Incomplete Markets: An (epsilon)-Arbitrage Approach," Operations Research, INFORMS, vol. 49(3), pages 372-397, June.
  39. Wang, Yuanrong & Aste, Tomaso, 2023. "Dynamic portfolio optimization with inverse covariance clustering," LSE Research Online Documents on Economics 117701, London School of Economics and Political Science, LSE Library.
  40. Lakner, Peter, 1998. "Optimal trading strategy for an investor: the case of partial information," Stochastic Processes and their Applications, Elsevier, vol. 76(1), pages 77-97, August.
  41. Andreas Fuster & Paul S. Willen, 2011. "Insuring Consumption Using Income-Linked Assets," Review of Finance, European Finance Association, vol. 15(4), pages 835-873.
  42. Elyès Jouini & Hédi Kallal, 1999. "Viability and Equilibrium in Securities Markets with Frictions," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 275-292, July.
  43. André Palma & Jean-Luc Prigent, 2009. "Standardized versus customized portfolio: a compensating variation approach," Annals of Operations Research, Springer, vol. 165(1), pages 161-185, January.
  44. Carole Bernard & Franck Moraux & Ludger R�schendorf & Steven Vanduffel, 2015. "Optimal payoffs under state-dependent preferences," Quantitative Finance, Taylor & Francis Journals, vol. 15(7), pages 1157-1173, July.
  45. Michail Anthropelos, 2011. "Forward Exponential Performances: Pricing and Optimal Risk Sharing," Papers 1109.3908, arXiv.org, revised Mar 2013.
  46. Czichowsky, Christoph Johannes & Peyre, Rémi & Schachermayer, Walter & Yang, Junjian, 2018. "Shadow prices, fractional Brownian motion, and portfolio optimisation under transaction costs," LSE Research Online Documents on Economics 85230, London School of Economics and Political Science, LSE Library.
  47. Ryle Perera, 2013. "Optimal investment, consumption–leisure, insurance and retirement choice," Annals of Finance, Springer, vol. 9(4), pages 689-723, November.
  48. Thai Nguyen & Mitja Stadje, 2020. "Utility maximization under endogenous pricing," Papers 2005.04312, arXiv.org, revised Mar 2024.
  49. Barbachan, José Santiago Fajardo, 2003. "Optimal Consumption and Investment with Lévy Processes," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 57(4), October.
  50. Thijs Kamma & Antoon Pelsser, 2019. "Near-Optimal Dynamic Asset Allocation in Financial Markets with Trading Constraints," Papers 1906.12317, arXiv.org, revised Oct 2019.
  51. Ziehaus Christina, 2012. "A note on optimal consumption and investment in a geometric Ornstein–Uhlenbeck market," Statistics & Risk Modeling, De Gruyter, vol. 29(3), pages 269-280, August.
  52. Martin B. Haugh & Leonid Kogan & Jiang Wang, 2006. "Evaluating Portfolio Policies: A Duality Approach," Operations Research, INFORMS, vol. 54(3), pages 405-418, June.
  53. Goll, Thomas & Kallsen, Jan, 2000. "Optimal portfolios for logarithmic utility," Stochastic Processes and their Applications, Elsevier, vol. 89(1), pages 31-48, September.
  54. Shige Peng, 2006. "Modelling Derivatives Pricing Mechanisms with Their Generating Functions," Papers math/0605599, arXiv.org.
  55. Gundel, Anne & Weber, Stefan, 2008. "Utility maximization under a shortfall risk constraint," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1126-1151, December.
  56. Jér^me Detemple & Marcel Rindisbacher, 2005. "Closed‐Form Solutions For Optimal Portfolio Selection With Stochastic Interest Rate And Investment Constraints," Mathematical Finance, Wiley Blackwell, vol. 15(4), pages 539-568, October.
  57. Czichowsky, Christoph & Schachermayer, Walter, 2017. "Portfolio optimisation beyond semimartingales: shadowprices and fractional Brownian motion," LSE Research Online Documents on Economics 67689, London School of Economics and Political Science, LSE Library.
  58. Barbachan, José Fajardo, 2000. "Optimal Consumption and Investment with Hyperbolic Lévy Motion," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 20(1), May.
  59. Christoph Czichowsky & R'emi Peyre & Walter Schachermayer & Junjian Yang, 2016. "Shadow prices, fractional Brownian motion, and portfolio optimisation under transaction costs," Papers 1608.01415, arXiv.org.
  60. Zhao, Yonggan, 2007. "A dynamic model of active portfolio management with benchmark orientation," Journal of Banking & Finance, Elsevier, vol. 31(11), pages 3336-3356, November.
  61. Jouini, Elyes & Kallal, Hedi & Napp, Clotilde, 2001. "Arbitrage and viability in securities markets with fixed trading costs," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 197-221, April.
  62. Feyzullah Egriboyun & H. Soner, 2010. "Optimal investment strategies with a reallocation constraint," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(3), pages 551-585, June.
  63. Constantinos Kardaras & Gordan Zitkovic, 2007. "Stability of the utility maximization problem with random endowment in incomplete markets," Papers 0706.0482, arXiv.org, revised Mar 2010.
  64. Czichowsky, Christoph & Schachermayer, Walter, 2016. "Duality theory for portfolio optimisation under transaction costs," LSE Research Online Documents on Economics 63362, London School of Economics and Political Science, LSE Library.
  65. Melenberg, B. & Werker, B.J.M., 1996. "On the Pricing of Options in Incomplete Markets," Other publications TiSEM 3531d5d5-d0a6-4d54-9d8a-9, Tilburg University, School of Economics and Management.
  66. Yan Li & Baimin Yu, 2012. "Portfolio selection of a closed-end mutual fund," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(3), pages 245-272, June.
  67. Marcet, Albert & Singleton, Kenneth J., 1999. "Equilibrium Asset Prices And Savings Of Heterogeneous Agents In The Presence Of Incomplete Markets And Portfolio Constraints," Macroeconomic Dynamics, Cambridge University Press, vol. 3(2), pages 243-277, June.
  68. Chenxu Li & Olivier Scaillet & Yiwen Shen, 2020. "Wealth Effect on Portfolio Allocation in Incomplete Markets," Papers 2004.10096, arXiv.org, revised Aug 2021.
  69. Chenxu Li & O. Scaillet & Yiwen Shen, 2020. "Decomposition of Optimal Dynamic Portfolio Choice with Wealth-Dependent Utilities in Incomplete Markets," Swiss Finance Institute Research Paper Series 20-22, Swiss Finance Institute.
  70. Yingting Miao & Qiang Zhang, 2023. "Optimal Investment and Consumption Strategies with General and Linear Transaction Costs under CRRA Utility," Papers 2304.07672, arXiv.org.
  71. Zapatero, Fernando, 1998. "Effects of financial innovations on market volatility when beliefs are heterogeneous," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 597-626, April.
  72. Katia Colaneri & Stefano Herzel & Marco Nicolosi, 2021. "The value of knowing the market price of risk," Annals of Operations Research, Springer, vol. 299(1), pages 101-131, April.
  73. Luca Benzoni & Pierre Collin‐Dufresne & Robert S. Goldstein, 2007. "Portfolio Choice over the Life‐Cycle when the Stock and Labor Markets Are Cointegrated," Journal of Finance, American Finance Association, vol. 62(5), pages 2123-2167, October.
  74. John H. Cochrane & Jesus Saa-Requejo, 2000. "Beyond Arbitrage: Good-Deal Asset Price Bounds in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 79-119, February.
  75. Christoph Belak & An Chen & Carla Mereu & Robert Stelzer, 2014. "Optimal investment with time-varying stochastic endowments," Papers 1406.6245, arXiv.org, revised Feb 2022.
  76. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
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  78. D. G. Luenberger, 2004. "Pricing a Nontradeable Asset and Its Derivatives," Journal of Optimization Theory and Applications, Springer, vol. 121(3), pages 465-487, June.
  79. S. Gerhold & J. Muhle-Karbe & W. Schachermayer, 2013. "The dual optimizer for the growth-optimal portfolio under transaction costs," Finance and Stochastics, Springer, vol. 17(2), pages 325-354, April.
  80. Lioui, Abraham & Tarelli, Andrea, 2019. "Macroeconomic environment, money demand and portfolio choice," European Journal of Operational Research, Elsevier, vol. 274(1), pages 357-374.
  81. Melenberg, B. & Werker, B.J.M., 1996. "On the Pricing of Options in Incomplete Markets," Discussion Paper 1996-19, Tilburg University, Center for Economic Research.
  82. Dmitry Kramkov & Kim Weston, 2015. "Muckenhoupt's $(A_p)$ condition and the existence of the optimal martingale measure," Papers 1507.05865, arXiv.org.
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  87. Oleksii Mostovyi, 2011. "Optimal investment with intermediate consumption and random endowment," Papers 1110.2573, arXiv.org, revised Oct 2012.
  88. Brennan, Michael J. & Xia, Yihong, 2000. "Dynamic Asset Allocation under Inflation," University of California at Los Angeles, Anderson Graduate School of Management qt8p95456t, Anderson Graduate School of Management, UCLA.
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  91. Marcos Escobar-Anel & Yevhen Havrylenko & Rudi Zagst, 2022. "Value-at-Risk constrained portfolios in incomplete markets: a dynamic programming approach to Heston's model," Papers 2208.14152, arXiv.org, revised Oct 2023.
  92. Wahid Faidi & Hanen Mezghanni & Mohamed Mnif, 2019. "Expected Utility Maximization Problem Under State Constraints and Model Uncertainty," Journal of Optimization Theory and Applications, Springer, vol. 183(3), pages 1123-1152, December.
  93. Luca Benzon & Olena Chyruk, 2015. "The Value and Risk of Human Capital," Annual Review of Financial Economics, Annual Reviews, vol. 7(1), pages 179-200, December.
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  95. Marina Santacroce & Paola Siri & Barbara Trivellato, 2023. "Forward Backward SDEs Systems for Utility Maximization in Jump Diffusion Models," Papers 2302.08253, arXiv.org.
  96. Lakner, Peter, 1995. "Utility maximization with partial information," Stochastic Processes and their Applications, Elsevier, vol. 56(2), pages 247-273, April.
  97. Ralf Korn, 1997. "Value preserving portfolio strategies in continuous-time models," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(1), pages 1-43, February.
  98. Kramkov, Dmitry & Weston, Kim, 2016. "Muckenhoupt’s (Ap) condition and the existence of the optimal martingale measure," Stochastic Processes and their Applications, Elsevier, vol. 126(9), pages 2615-2633.
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