Dynamic Asset Allocation with Uncertain Jump Risks: A Pathwise Optimization Approach

Published Online:https://doi.org/10.1287/moor.2017.0854

References

  • Aït-Sahalia Y, Cacho-Diaz J, Hurd T (2009) Portfolio choice with jumps: A closed-form solution. Ann. Appl. Probab. 19(2):556–584.CrossrefGoogle Scholar
  • Anderson E, Hansen L, Sargent T (2003) A quartet of semigroups for model specification, robustness, prices of risk and model detection. J. Eur. Econom. Assoc. 1(1):68–123.CrossrefGoogle Scholar
  • Bajeux-Besnainou I, Jordan J, Portait R (2003) Dynamic asset allocation for stocks, bonds and cash. J. Bus. 76(2):263–287.CrossrefGoogle Scholar
  • Bardhan I, Chao X (1996) On martingale measures when asset returns have unpredictable jumps. Stochastic Processes and Their Appl. 63(1):35–54.CrossrefGoogle Scholar
  • Bellini F, Frittelli M (2002) On the existence of minimax martingale measures. Math. Finance 12(1):1–21.CrossrefGoogle Scholar
  • Borwein J, Zhuang D (1986) On Fan’s minimax theorem. Math. Programming 34(2):232–234.CrossrefGoogle Scholar
  • Branger N, Larsen L (2013) Robust portfolio choice with uncertainty about jump and diffusion risk. J. Banking and Finance 37(12):5036–5047.CrossrefGoogle Scholar
  • Bremaud P (1981) Point Processes and Queues: Martingale Dynamics (Springer, Berlin).CrossrefGoogle Scholar
  • Cvitanić J, Karatzas I (1992) Convex duality in constrained portfolio optimization. Ann. Appl. Probab. 2(4):767–818.CrossrefGoogle Scholar
  • Das S, Uppal R (2004) Systemic risk and international portfolio choice. J. Finance 59(6):2809–2834.CrossrefGoogle Scholar
  • Delbaen F, Schachermayer W (1994) Arbitrage and free lunch with bounded risk for unbounded continuous processes. Math. Finance 4(4):343–348.CrossrefGoogle Scholar
  • Drechsler I (2013) Uncertainty, time-varying fear, and asset prices. J. Finance 68(5):1843–1889.CrossrefGoogle Scholar
  • Epstein L, Schneider M (2003) Recursive multiple priors. J. Econom. Theory 113(1):32–50.CrossrefGoogle Scholar
  • Flor C, Larsen L (2014) Robust portfolio choice with stochastic interest rates. Ann. Finance 10(2):243–265.CrossrefGoogle Scholar
  • Goldfarb D, Iyengar G (2003) Robust portfolio selection problems. Math. Oper. Res. 28(1):1–38.LinkGoogle Scholar
  • Hansen LP, Sargent T (2001) Robust control and model uncertainty. Amer. Econom. Rev 91(2):60–66.CrossrefGoogle Scholar
  • Hansen LP, Sargent T (2007) Robustness (Princeton University Press, Princeton, NJ).CrossrefGoogle Scholar
  • Jin X, Zhang A (2012) Decomposition of optimal portfolio weights in a jump-diffusion model and its applications. Rev. Financial Stud. 25(9):2877–2919.CrossrefGoogle Scholar
  • Karatzas I, Lehoczky J, Shreve S (1987) Optimal portfolio and consumption decisions for a small investor on a finite horizon. SIAM J. Control Optim. 25(6):1557–1586.CrossrefGoogle Scholar
  • Kramkov D, Schachermayer W (1999) The asymptotic elasticity of utility functions and optimal investment in incomplete markets. Ann. Appl. Probab. 9(3):904–950.CrossrefGoogle Scholar
  • Kramkov D, Schachermayer W (2003) Necessary and sufficient condition in the problem of optimal investment in incomplete markets. Ann. Appl. Probab. 13(4):1504–1516.CrossrefGoogle Scholar
  • Laeven R, Stadje M (2014) Robust portfolio choice and indifference valuation. Math. Oper. Res. 39(4):1109–1141.LinkGoogle Scholar
  • Liu J, Longstaff F, Pan J (2003) Dynamic asset allocation with event risk. J. Finance 58(1):231–259.CrossrefGoogle Scholar
  • Liu J, Pan J, Wang T (2005) An equilibrium model of rare-event premia and its implication for option smirks. Rev. Financial Stud. 18(1):131–164.CrossrefGoogle Scholar
  • Luenberger D (1969) Optimization by Vector Space Methods (John Wiley & Sons, New York).Google Scholar
  • Maenhout P (2004) Robust portfolio rules and asset pricing. Rev. Financial Stud. 17(4):951–983.CrossrefGoogle Scholar
  • Pennanen T (2011) Convex duality in stochastic optimization and mathematical finance. Math. Oper. Res. 36(2):340–362.LinkGoogle Scholar
  • Ruszczyński A, Shapiro A (2006) Conditional risk mappings. Math. Oper. Res. 31(3):544–561.LinkGoogle Scholar
  • Schied A, Wu C (2005) Duality theory for optimal investments under model uncertainty. Statist. Decisions 23(3):199–217.Google Scholar
  • Seifried F (2010) Optimal investment for worst-case crash scenarios: A martingale approach. Math. Oper. Res. 35(3):559–579.LinkGoogle Scholar
  • Wang T (2003) Conditional preferences and updating. J. Econom. Theory 108(2):286–321.CrossrefGoogle Scholar
  • Yan J (1988) Measure and Integration (Shanxi Normal University Press, Shanxi, China).Google Scholar
  • Zhao Y, Ziemba W (2001) A stochastic programming model using an endogenously determined worst case risk measure for dynamic asset allocation. Math. Program. Ser. B 89(2):293–309.CrossrefGoogle Scholar
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