Equilibrium Pricing in Incomplete Markets Under Translation Invariant Preferences

References

• Anthropelos M, Žitković G (2010) Partial equilibria with convex capital requirements: Existence, uniqueness and stability. Ann. Finance 6(1):107–135.Crossref, Google Scholar
• Avellaneda M, Lipkin M (2009) A dynamic model for hard-to-borrow stocks. Risk Magazine (June).Google Scholar
• Bakshi GN, Kapadia N, Madan D (2003) Stock return characteristics, skew laws, and the differential pricing of individual equity options. Rev. Financial Stud. 16:101–143.Crossref, Google Scholar
• Ben-Tal A, Teboulle M (1986) Expected utility, penalty functions, and duality in stochastic nonlinear programming. Management Sci. 32(11):1445–1466.Link, Google Scholar
• Ben-Tal A, Teboulle M (1987) Penalty functions and duality in stochastic programming via ϕ-divergence functionals. Math. Oper. Res. 12(2):224–240.Link, Google Scholar
• Bollen NP, Whaley RE (2004) Does net buying pressure affect the shape of implied volatility functions? J. Finance 59:711–753.Crossref, Google Scholar
• Brown DJ, Werner J (1995) Arbitrage and the existence of equilibrium in infinite asset markets. Rev. Econom. Stud. 62:101–114.Crossref, Google Scholar
• Cheng H (1991) Asset market equilibrium in infinite dimensional complete markets. J. Math. Econom. 20:137–152.Crossref, Google Scholar
• Cheridito P, Li T (2008) Dual characterization of properties of risk measures on Orlicz hearts. Math. Financial Econom. 2(1):29–55.Crossref, Google Scholar
• Cheridito P, Li T (2009) Risk measures on Orlicz hearts. Math. Finance 19(2):189–214.Crossref, Google Scholar
• Cheridito P, Kupper M (2009) Recursiveness of indifference prices and translation-invariant preferences. Math. Financial Econom. 2(3):173–188.Crossref, Google Scholar
• Cheridito P, Kupper M (2011) Composition of time-consistent dynamic monetary risk measures in discrete time. Internat. J. Theoret. Appl. Finance 14(1):137–162.Crossref, Google Scholar
• Cheridito P, Delbaen F, Kupper M (2006) Coherent and convex monetary risk measures for unbounded càdlàg processes. Finance Stochastics 10(3):427–448.Crossref, Google Scholar
• Cheridito P, Kupper M, Vogelpoth N (2015) Conditional analyis on ℝd. Set Optimization—State of the Art and Applications in Finance (Springer).Crossref, Google Scholar
• Cherny AS, Kupper M (2007) Divergence utilities. SSRN Preprint.Google Scholar
• Csiszar I (1967) On topological properties of f-divergence. Studia Sci. Math. Hungarica 2:329–339.Google Scholar
• Cuoco D, He H (2001) Dynamic aggregation and computation of equilibria in finite-dimensional economies with incomplete financial markets. Ann. Econ. Fin. 2:265–296.Google Scholar
• Dalang RC, Morton A, Willinger W (1990) Equivalent martingale measures and no-arbitrage in stochastic securities market model. Stochastics Stochastics Rep. 29:185–201.Crossref, Google Scholar
• Dana RA, Le Van C, Magnien F (1997) General equilibrium in asset markets with or without short-selling. J. Math. Analysis Appl. 206:567–588.Crossref, Google Scholar
• Dana RA, Le Van C, Magnien F (1999) On different notions of arbitrage and existence of equilibrium. J. Econom. Theory 87:169–193.Crossref, Google Scholar
• Dana RA, Le Van C (2010) Overlapping sets of priors and the existence of efficient allocations and equilibria for risk measures. Math. Finance 20(3):327–339.Crossref, Google Scholar
• Delbaen F, Schachermayer W (1996) The variance-optimal martingale measure for continuous processes. Bernoulli 2:81–105.Crossref, Google Scholar
• Duffie D (1987) Stochastic equilibria with incomplete financial markets. J. Econom. Theory 41:405–416.Crossref, Google Scholar
• Filipović D, Kupper M (2008) Equilibrium prices for monetary utility functions. Internat. J. Theoret. Appl. Finance 11:325–343.Crossref, Google Scholar
• Föllmer H, Schied A (2004) Stochastic Finance, an Introduction in Discrete Time, Second ed., de Gruyter Studies in Mathematics 27 (Walter de Gruyter, Berlin).Crossref, Google Scholar
• Föllmer H, Schweizer M (1991) Hedging of contingent claims under incomplete information. Davis MHA, Elliott RJ, eds. Applied Stochastic Analysis, Stochastics Monographs, Vol. 5 (Gordon and Breach, London/New York), 389–414.Google Scholar
• Frittelli M (2000) The minimal entropy martingale measure and the valuation problem in incomplete markets. Math. Finance 10:39–52.Crossref, Google Scholar
• Gârleanu N, Pedersen LH, Poteshman AM (2009) Demand-based option pricing. Rev. Financial Stud. 22:4259–4299.Crossref, Google Scholar
• Geanakoplos J (1990) An introduction to general equilibrium with incomplete asset markets. J. Math. Econom. 19:1–38.Crossref, Google Scholar
• Gerber HU, Shiu ESW (1994) Option pricing by Esscher transforms. Trans. Soc. Actuaries XLVI 99–191.Google Scholar
• Hart O (1975) On the optimality of equilibrium when the market structure is incomplete. J. Econom. Theory 11:418–443.Crossref, Google Scholar
• Henderson V, Hobson D (2009) Utility indifference pricing—An overview. Carmona R, ed. Indifference Pricing: Theory and Applications (Princeton University Press, Princeton, NJ).Google Scholar
• Hugonnier J (2012) Rational asset pricing bubbles and portfolio constraints. J. Econom. Theory 147(6):2260–2302.Crossref, Google Scholar
• Lipton A (2002) The vol smile problem. Risk Magazine 15(2):61–65.Google Scholar
• Maccheroni F, Marinacci M, Rustichini A, Taboga M (2009) Portfolio selection with monotone mean-variance preferences. Math. Finance 19:587–521.Crossref, Google Scholar
• Magill M, Shafer W (1991) Incomplete markets. Hildebrand W, Sonnenschein H, eds. Handbook of Mathematical Economics, Vol. IV (Elsevier, New York).Google Scholar
• Magill M, Quinzii M (1996) Theory of Incomplete Markets, Vol. 1 (MIT Press, Cambridge, MA).Google Scholar
• Negishi T (1960) Welfare economics and existence of an equilibrium for a competitive economy. Metroeconomica 12:92–97.Crossref, Google Scholar
• Neveu J (1975) Discrete-Parameter Martingales (North-Holland , Amsterdam).Google Scholar
• Radner R (1972) Existence of equilibrium of plans, prices, and price expectations in a sequence of markets. Econometrica 40(2): 289–303.Crossref, Google Scholar
• Schweizer M (1995) Variance-optimal hedging in discrete time. Math. Oper. Res. 20(1):1–32.Link, Google Scholar
• Schweizer M (1996) Approximation pricing and the variance-optimal martingale measure. Ann. Proba. 24:206–236.Crossref, Google Scholar
• Werner J (1987) Arbitrage and the existence of competitive equilibrium. Econometrica 55:1403–1418.Crossref, Google Scholar
• Wu M (2013) Farkas lemma in random locally convex modules and Minkowsky–Weyl type results in L0(ℱ, ℝn). J. Math. Anal. Appl. 404:300–309.Crossref, Google Scholar