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Research Papers

Pricing high-dimensional American options by kernel ridge regression

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Pages 851-865 | Received 12 Oct 2018, Accepted 05 Jan 2020, Published online: 19 Feb 2020

References

  • Andersen, L. and Broadie, M., A primal–dual simulation algorithm for pricing multidimensional American options. Manage. Sci., 2004, 50, 1222–1234. doi: 10.1287/mnsc.1040.0258
  • Barraquand, J. and Martineau, D., Numerical valuation of high dimensional multivariate American securities. J. Financ. Quant. Anal., 1995, 30, 383–405. doi: 10.2307/2331347
  • Broadie, M. and Glasserman, P., Pricing American-style securities using simulation. J. Econ. Dyn. Control, 1997, 21, 1323–1352. doi: 10.1016/S0165-1889(97)00029-8
  • Broadie, M. and Glasserman, P., A stochastic mesh method for pricing high-dimensional American options. J. Comput. Financ., 2004, 7, 35–72. doi: 10.21314/JCF.2004.117
  • Broadie, M. and Yamamoto, Y., Application of the fast Gauss transform to option pricing. Manage. Sci., 2003, 49, 1071–1088. doi: 10.1287/mnsc.49.8.1071.16405
  • Carriere, J.F., Valuation of the early-exercise price for options using simulations and nonparametric regression. Ins. Math. Econ., 1996, 19, 19–30. doi: 10.1016/S0167-6687(96)00004-2
  • Exterkate, P., Model selection in kernel ridge regression. Comput. Stat. Data Anal., 2013, 68, 1–16. doi: 10.1016/j.csda.2013.06.006
  • Glasserman, P., Monte Carlo Methods in Financial Engineering, Vol. 53, 2003 (Springer: New York).
  • Glasserman, P. and Yu, B., Simulation for American options: Regression now or regression later? In Monte Carlo and Quasi-Monte Carlo Methods 2002, edited by H. Niederreiter, pp. 213–226, 2004 (Springer: Berlin, Heidelberg).
  • Han, G.S., Kim, B.H. and Lee, J., Kernel-based Monte Carlo simulation for American option pricing. Expert Syst. Appl., 2009, 36, 4431–4436. doi: 10.1016/j.eswa.2008.05.004
  • Jain, S. and Oosterlee, C.W., The stochastic grid bundling method: Efficient pricing of Bermudan options and their Greeks. Appl. Math. Comput., 2015, 269, 412–431.
  • Jonen, C., Efficient pricing of high-dimensional American-style derivatives: A robust regression Monte Carlo method. PhD Thesis, Universität zu Köln, 2011.
  • Kohler, M., A review on regression-based Monte Carlo methods for pricing American options. In Recent Developments in Applied Probability and Statistics, edited by L. Devroye, B. Karaszen, M. Kohler and R. Korn, pp. 37–58, 2010 (Physica-Verlag HD: Heidelberg).
  • Kung, S.Y., Kernel Methods and Machine Learning, 2014 (Cambridge University Press: Cambridge).
  • Longstaff, F.A. and Schwartz, E.S., Valuing American options by simulation: A simple least-squares approach. Rev. Financ. Stud., 2001, 14, 113–147. doi: 10.1093/rfs/14.1.113
  • Spiegeleer, J.D., Madan, D.B., Reyners, S. and Schoutens, W., Machine learning for quantitative finance: Fast derivative pricing, hedging and fitting. Quant. Finance, 2018, 18, 1635–1643. doi: 10.1080/14697688.2018.1495335
  • Tsitsiklis, J.N. and Van Roy, B., Regression methods for pricing complex American-style options. IEEE Trans. Neural Netw., 2001, 12, 694–703. doi: 10.1109/72.935083
  • Wang, Y. and Caflisch, R., Pricing and hedging American-style options: A simple simulation-based approach. J. Comput. Financ., 2010, 13, 95–125. doi: 10.21314/JCF.2010.220
  • Zhang, Y., Duchi, J.C. and Wainwright, M.J., Divide and conquer kernel ridge regression: A distributed algorithm with minimax optimal rates. J. Mach. Learn. Res., 2013, 30, 592–617.

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