Simulating Confidence Intervals for Conditional Value-at-Risk via Least-Squares Metamodels

Published Online:https://doi.org/10.1287/ijoc.2023.0394

References

  • Andersen L, Broadie M (2004) Primal-dual simulation algorithm for pricing multidimensional American options. Management Sci. 50(9):1222–1234.LinkGoogle Scholar
  • Ankenman BE, Nelson BL, Staum J (2010) Stochastic kriging for simulation metamodeling. Oper. Res. 58:371–382.LinkGoogle Scholar
  • Artzner P, Delbaen F, Eber J-M, Heath D (1999) Coherent measures of risk. Math. Finance 9(3):203–228.CrossrefGoogle Scholar
  • Bank for International Settlement (2012) Fundamental review of the trading book (October), http://www.bis.org/publ/bcbs219.pdf.Google Scholar
  • Belomestny D, Bender C, Schoenmakers J (2009) True upper bounds for Bermudan products via non-nested Monte Carlo. Math. Finance 19:53–71.CrossrefGoogle Scholar
  • Broadie M, Du Y, Moallemi CC (2011) Efficient risk estimation via nested sequential simulation. Management Sci. 57(6):1172–1194.LinkGoogle Scholar
  • Broadie M, Du Y, Moallemi CC (2015) Risk estimation via regression. Oper. Res. 63(5):1077–1097.LinkGoogle Scholar
  • Desai VV, Farias VF, Moallemi CC (2012) Pathwise optimization for optimal stopping problems. Management Sci. 58(12):2292–2308.LinkGoogle Scholar
  • Duchi JC, Glynn PW, Namkoong H (2021) Statistics of robust optimization: A generalized empirical likelihood approach. Math. Oper. Res. 46(3):946–969.LinkGoogle Scholar
  • Fort G, Gobet E, Moulines E (2017) MCMC design-based non-parametric regression for rare event. Application to nested risk computation. Monte Carlo Methods Appl. 23(1):21–42.CrossrefGoogle Scholar
  • Glasserman P (2004) Monte Carlo Methods in Financial Engineering (Springer, New York).CrossrefGoogle Scholar
  • Gordy MB, Juneja S (2010) Nested simulation in portfolio risk measurement. Management Sci. 56(10):1833–1848.LinkGoogle Scholar
  • Haugh MB, Kogan L (2004) Pricing American options: A duality approach. Oper. Res. 52(2):258–270.LinkGoogle Scholar
  • Hong LJ, Liu G (2009) Simulating sensitivities of conditional value-at-risk. Management Sci. 55(2):281–293.LinkGoogle Scholar
  • Hong LJ, Juneja S, Liu G (2017) Kernel smoothing for nested estimation with application to portfolio risk measurement. Oper. Res. 65(3):657–673.LinkGoogle Scholar
  • Lai Q, Liu G, Zhang B, Zhang K (2024) GitHub repository: Simulating confidence intervals for conditional value-at-risk via least-squares metamodels. https://dx.doi.org/10.1287/ijoc.2023.0394.cd, https://github.com/INFORMSJoC/2023.0394.Google Scholar
  • Lan H, Nelson BL, Staum J (2010) A confidence interval procedure for expected shortfall risk measurement via two-level simulation. Oper. Res. 58(5):1481–1490.LinkGoogle Scholar
  • Lee S-H (1998) Monte Carlo expectation of conditional quantiles. PhD thesis, Department of Operations Research, Stanford University, Stanford, CA.Google Scholar
  • Lee S-H, Glynn PW (2003) Computing the distribution function of a conditional expectation via Monte Carlo: Discrete conditioning space. ACM Trans. Modeling Comput. Simulations 13:238–258.CrossrefGoogle Scholar
  • Liu M, Staum J (2010) Stochastic kriging for efficient nested simulation of expected shortfall. J. Risk 12(3):3–27.CrossrefGoogle Scholar
  • Liu M, Nelson BL, Staum J (2010) An efficient procedure for point estimation of expected shortfall. Proc. Winter Simulation Conf. (IEEE Press, Piscataway, NJ), 2782–2789.Google Scholar
  • Pflug G (2000) Some remarks on the value-at-risk and the conditional value-at-risk. Uryasev S, ed. Probabilistic Constrained Optimization: Methodology and Application (Kluwer, Dordrecht, Netherlands), 272–281.CrossrefGoogle Scholar
  • Rogers LCG (2002) Monte Carlo valuation of American options. Math. Finance 12:271–286.CrossrefGoogle Scholar
  • Schoenmakers J, Zhang J, Huang J (2013) Optimal dual martingales, their analysis and application to new algorithms for Bermudan products. SIAM J. Financial Math. 4:86–116.CrossrefGoogle Scholar
  • Shapiro A, Dentcheva D, Ruszczynski A (2009) Lectures on Stochastic Programming: Modeling and Theory (SIAM, Philadelphia).CrossrefGoogle Scholar
  • Sun Y, Apley DW, Staum J (2011) Efficient nested simulation for estimating the variance of a conditional expectation. Oper. Res. 59(4):998–1007.LinkGoogle Scholar
  • Trindade AA, Uryasev S, Shapiro A, Zrazhevsky G (2007) Financial prediction with constrained tail risk. J. Bank. Finance 31:3524–3538.CrossrefGoogle Scholar
  • Zhang K, Liu G, Wang S (2022) Bootstrap-based budget allocation for nested simulation. Oper. Res. 70(2):1128–1142.LinkGoogle Scholar
  • Zhu H, Ye F, Zhou E (2015) Fast estimation of true bounds on Bermudan option prices under jump-diffusion process. Quant. Finance 15:1885–1900.CrossrefGoogle Scholar
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