On the Spanning Property of Risk Bonds Priced by Equilibrium

References

• Barrieu P., El Karoui N. Optimal design of derivatives in illiquid framework. Quant. Finance (2002) 2:1–8Crossref, Google Scholar
• Barrieu P., El Karoui N. Inf-convolution of risk measures and optimal risk transfer. Finance and Stochastics (2005) 9:269–298Crossref, Google Scholar
• Becherer D. Utility indifference hedging and valuation via reaction diffusion systems. Proc. Roy. Soc., Ser. A (2004) 460:27–51Crossref, Google Scholar
• Becherer D. Bounded solutions to backward SDE's with jumps for utility optimization and indifference hedging. Ann. Appl. Probab. (2006) 16(4):2027–2054Crossref, Google Scholar
• Bouchard B., Touzi N. Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations. Stochastic Processes and Their Appl. (2004) 111(2):175–206Crossref, Google Scholar
• Briant P., Hu Y. BSDE with quadratic growth and unbounded terminal value. Probab. Theory Related Fields (2006) 136(4):604–618Crossref, Google Scholar
• Chaumont S., Imkeller P., Müller M. Equilibrium trading of climate and weather risk and numerical simulation in a Markovian framework. Stochastic Environ. Res. Risk Assessment (2004) 20:184–205Crossref, Google Scholar
• Chaumont S., Horst U., Imkeller P., Müller M. A simple model of trading climate risk. Vierteljahrshefte zur Wirtschaftsforschung (2005) 74:175–195Crossref, Google Scholar
• Cheridito P., Soner M., Touzi N., Victoir N. Second order backward stochastic differential equations and fully non-linear parabolic PDEs. Comm. Pure Appl. Math. (2005) 60(7):1081–1110Crossref, Google Scholar
• Davis M., Dempster M. A. H., Pliska S. R. Option pricing in incomplete markets. Mathematics of Derivative Securities (1998) (Cambridge University Press, Cambridge, UK) Google Scholar
• Davis M. Optimal hedging with basic risk. (2000) . Working paper, Technical University, Vienna, AustriaGoogle Scholar
• Davis M. Pricing weather derivatives by marginal value. Quant. Finance (2001) 1:305–308Crossref, Google Scholar
• Duffie D., Richardson H. Mean-variance hegding in continuous time. Ann. Appl. Probab. (1991) 1:1–15Crossref, Google Scholar
• El Karoui N., Quenez S. Dynamic programming and pricing in incomplete markets. SIAM J. Control Optim. (1995) 33:29–66Crossref, Google Scholar
• El Karoui N., Peng N., Quenez S. Backward stochastic differential equations in finance. Math. Finance (1997) 7:1–71Crossref, Google Scholar
• Föllmer H., Leukert P. Quantile hedging. Finance and Stochastics (1999) 3:251–273Crossref, Google Scholar
• Föllmer H., Leukert P. Efficient hedges: Cost versus shortfall risk. Finance and Stochastics (2000) 4:117–146Crossref, Google Scholar
• Föllmer H., Sondermann D., Hildenbrand W., Mas-Colell A. Hedging of nonredundant contingent claims. Contributions to Mathematical Economics, in Honor of G. Debreu (1986) (Elsevier Science Publ., North-Holland) 205–223Google Scholar
• Gaol J. L., Manurung D. El Nino Southern Oscillation impact on sea surface temperature derived from satellite and its relationships on tuna fishing ground in the South Java seawaters. (2000) . AARSGoogle Scholar
• Henderson V., Hobson D., Carmona R. Utility indifference pricing: An overview. Volume on Indifference Pricing (2007) (Princeton University Press, Princeton, NJ) . To appearGoogle Scholar
• Hu Y. P., Imkeller P., Müller M. Market completion and partial equilibrium. Internat. J. Theoret. Appl. Finance (2005) 8(4):483–508Crossref, Google Scholar
• Jakobsen E. R., Karlsen K. H. Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate parabolic equations. J. Differential Equations (2002) 183:497–525Crossref, Google Scholar
• Karatzas I., Lehoczky J. P., Shreve S. E. Existence and uniqueness of multi-agent equilibrium in a stochastic, dynamic consumption/investment model. Math. Oper. Res. (1990) 15:80–128Link, Google Scholar
• Kazamaki N. Continuous exponential martingales and BMO. Lecture Notes in Mathematics (1994) 1579(Springer, Berlin, Germany) Google Scholar
• Kobylanski M. Backward stochastic differential equations and partial differential equations with quadratic growth. Ann. Probab. (2000) 28:558–602Crossref, Google Scholar
• Ladyzenskaja O. A., Solonnikov V. A., Ural'ceva N. N.Linear and Quasi-Linear Equations of Parabolic Type (1968) (American Mathematical Society, Providence, RI) Crossref, Google Scholar
• Lazrak A. Generalized stochastic differential utility and preference for information. Ann. Appl. Probab. (2004) 14(4):2149–2175Crossref, Google Scholar
• Mania M., Schweizer M. Dynamic exponential utility indifference valuation. Ann. Appl. Probab. (2005) 15(3):2113–2143Crossref, Google Scholar
• Moeller T. Indifference pricing of insurance contracts in a product space model. Finance and Stochastics (2003) 7:197–217Crossref, Google Scholar
• Müller M. Market completion and robust utility maximization. (2005) . Ph.D. dissertation, Humboldt University, Berlin, GermanyGoogle Scholar
• Musiela M., Zariphopoulou T. An example of indifference prices under exponential preferences. Finance and Stochastics (2004a) 8:229–239Crossref, Google Scholar
• Musiela M., Zariphopoulou T. A valuation algorithm for indifference prices in incomplete markets. Finance and Stochastics (2004b) 8:399–414Crossref, Google Scholar
• Nualart D.The Malliavin Calculus and Related Topics (1995) (Springer, Berlin, Germany) Crossref, Google Scholar
• Pardoux E., Peng S. G. Adapted solution of a backward stochastic differential equation. Systems and Control Lett. (1990) 14:55–61Crossref, Google Scholar
• Revuz D., Yor M.Continuous Martingales and Brownian Motion (1994) (Springer, Berlin, Germany) Google Scholar
• Schweizer M. Mean-variance hedging for general claims. Ann. Appl. Probab. (1992) 2:171–176Crossref, Google Scholar
• Schweizer M. From actuarial to financial valuation principles. Insurance: Math. Econom. (2001) 28:31–47Crossref, Google Scholar
• Swiss Re (1998) . Sigma No. 3 Technical report, Zurich, SwitzerlandGoogle Scholar
• Taylor M. E.Partial Differential Equations III, Applied Mathematical Sciences (1996) 117(Springer-Verlag, Berlin, Germany) Crossref, Google Scholar
• World Bank, The Managing agricultural production risk. (2005) . Report 32727-GLB, Washington, D.C.Google Scholar