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Articles

Hedging With Linear Regressions and Neural Networks

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References

  • Alexander, C., Rubinov, A., Kalepky, M., and Leontsinis, S. (2012), “Regime-Dependent Smile-Adjusted Delta Hedging,” Journal of Futures Markets, 32, 203–229. DOI: 10.1002/fut.20517.
  • Bakshi, G., Cao, C., and Chen, Z. (1997), “Empirical Performance of Alternative Option Pricing Models,” The Journal of Finance, 52, 2003–2049. DOI: 10.1111/j.1540-6261.1997.tb02749.x.
  • Bakshi, G., Cao, C., and Chen, Z. (2000), “Do Call Prices and the Underlying Stock Always Move in the Same Direction?,” The Review of Financial Studies, 13, 549–584.
  • Bengio, Y. (1997), “Using a Financial Training Criterion Rather than a Prediction Criterion,” International Journal of Neural Systems, 8, 433–443. DOI: 10.1142/S0129065797000422.
  • Bergomi, L. (2009), “Smile Dynamics IV,” Risk, 22, 94–100.
  • Bertsimas, D., Kogan, L., and Lo, A. W. (2000), “When is Time Continuous?,” Journal of Financial Economics, 55, 173–204. DOI: 10.1016/S0304-405X(99)00049-5.
  • Black, F. (1976), “Studies of Stock Market Volatility Changes,” Proceedings of the American Statistical Association Business and Economic Statistics Section, pp. 177–181.
  • Boyle, P. P., and Emanuel, D. (1980), “Discretely Adjusted Option Hedges,” Journal of Financial Economics, 8, 259–282. DOI: 10.1016/0304-405X(80)90003-3.
  • Buehler, H., Gonon, L., Teichmann, J., and Wood, B. (2019), “Deep Hedging,” Quantitative Finance, 19, 1271–1291. DOI: 10.1080/14697688.2019.1571683.
  • Carr, P., and Wu, L. (2020), “Option Profit and Loss Attribution and Pricing: A New Framework,” The Journal of Finance, 75, 2271–2316. DOI: 10.1111/jofi.12894.
  • Carverhill, A. P., and Cheuk, T. H. (2003), “Alternative Neural Network Approach for Option Pricing and Hedging,” SSRN 480562.
  • Claeskens, G., and Hjort, N. L. (2003), “The Focused Information Criterion,” Journal of the American Statistical Association, 98, 900–916. DOI: 10.1198/016214503000000819.
  • Cont, R., and Da Fonseca, J. (2002), “Dynamics of Implied Volatility Surfaces,” Quantitative Finance, 2, 45–60. DOI: 10.1088/1469-7688/2/1/304.
  • Cont, R., and Kan, Y. H. (2011), “Dynamic Hedging of Portfolio Credit Derivatives,” SIAM Journal on Financial Mathematics, 2, 112–140. DOI: 10.1137/090750937.
  • Crépey, S. (2004), “Delta-Hedging Vega Risk?,” Quantitative Finance, 4, 559–579. DOI: 10.1080/14697680400000038.
  • Denkl, S., Goy, M., Kallsen, J., Muhle-Karbe, J., and Pauwels, A. (2013), “On the Performance of Delta Hedging Strategies in Exponential Lévy Models,” Quantitative Finance, 13, 1173–1184. DOI: 10.1080/14697688.2013.779742.
  • Dugas, C., Bengio, Y., Bélisle, F., Nadeau, C., and Garcia, R. (2009), “Incorporating Functional Knowledge in Neural Networks,” Journal of Machine Learning Research, 10, 1239–1262.
  • Garcia, R., and Gençay, R. (2000), “Pricing and Hedging Derivative Securities with Neural Networks and a Homogeneity Hint,” Journal of Econometrics, 94, 93–115. DOI: 10.1016/S0304-4076(99)00018-4.
  • Ghysels, E., Patilea, V́., Renault, E., and Torrès, O. (1998), “Nonparametric Methods and Option Pricing,” in Statistics in Finance, eds. D. Hand and S. Jacka, Chapter 13, London: Wiley, pp. 261–282.
  • Glorot, X., and Bengio, Y. (2010), “Understanding the Difficulty of Training Deep Feedforward Neural Networks,” in Proceedings of the Thirteenth International Conference on Artificial Intelligence and Statistics, pp. 249–256.
  • Glorot, X., Bordes, A., and Bengio, Y. (2011), “Deep Sparse Rectifier Neural Networks,” in Proceedings of the Fourteenth International Conference on Artificial Intelligence and Statistics, pp. 315–323.
  • Hull, J., and White, A. (2017), “Optimal Delta Hedging for Options,” Journal of Banking & Finance, 82, 180–190.
  • Hutchinson, J. M., Lo, A. W., and Poggio, T. (1994), “A Nonparametric Approach to Pricing and Hedging Derivative Securities Via Learning Networks,” The Journal of Finance, 49, 851–889. DOI: 10.1111/j.1540-6261.1994.tb00081.x.
  • Kingma, D. P., and Ba, J. (2015), “Adam: A Method for Stochastic Optimization,” in International Conference on Learning Representations, San Diego, CA.
  • Krizhevsky, A., Sutskever, I., and Hinton, G. E. (2012), “ImageNet Classification With Deep Convolutional Neural Networks,” in Advances in Neural Information Processing Systems, Proceedings of the 25th International Conference on Neural Information Processing Systems—Volume 1, pp. 1097–1105.
  • Lyons, T. J. (1995), “Uncertain Volatility and the Risk-Free Synthesis of Derivatives,” Applied Mathematical Finance, 2, 117–133. DOI: 10.1080/13504869500000007.
  • Malliaris, M., and Salchenberger, L. (1993), “A Neural Network Model for Estimating Option Prices,” Journal of Applied Intelligence, 3, 193–206. DOI: 10.1007/BF00871937.
  • O’Hara, M. (1997), Market Microstructure Theory. Cambridge, MA: Wiley.
  • Pérignon, C. (2006), “Testing the Monotonicity Property of Option Prices,” The Journal of Derivatives, 14, 61–76. DOI: 10.3905/jod.2006.667551.
  • Ruf, J., and Wang, W. (2020), “Neural Networks for Option Pricing and Hedging: A Literature Review,” Journal of Computational Finance, 24, 1–46.
  • Ruf, J., and Wang, W. (2021),“Information Leakage in Backtesting,” SSRN 3836631.
  • Stoll, H. R. (1978), “The Supply of Dealer Services in Securities Markets,” The Journal of Finance, 33, 1133–1151. DOI: 10.1111/j.1540-6261.1978.tb02053.x.
  • Tankov, P., and Voltchkova, E. (2009), “Asymptotic Analysis of Hedging Errors in Models With Jumps,” Stochastic Processes and Their Applications, 119, 2004–2027. DOI: 10.1016/j.spa.2008.10.002.
  • Vähämaa, S. (2004), “Delta Hedging With The Smile,” Financial Markets and Portfolio Management, 18, 241–255. DOI: 10.1007/s11408-004-0302-y.
  • Yarotsky, D. (2017), “Error Bounds for Approximations With Deep ReLU Networks,” Neural Networks, 94, 103–114. DOI: 10.1016/j.neunet.2017.07.002.