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A Hybrid Model Based on Stochastic Volatility and Machine Learning to Forecast Log Returns of a Risky Asset

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Mathematical and Statistical Methods for Actuarial Sciences and Finance (MAF 2022)

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Abstract

A hybrid model that combines a stochastic volatility model [2] and the K Nearest Neighbors (KNN) model [1] is proposed to obtain precision forecasts of log returns of a risky asset traded in the financial market. The precision forecasts are the sum of the forecasts obtained with the stochastic volatility model and a correction term produced by the KNN model. Numerical experiments based on real data are performed to investigate the accuracy of the precision forecasts.

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References

  1. Altman, N.S.: An introduction to kernel and nearest-neighbor nonparametric regression. Am. Stat. 46(3), 75–185 (1992). https://doi.org/10.1080/00031305.1992.10475879

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  2. Fatone, L., Mariani, F., Zirilli, F.: Calibration in the “real world” of a partially specified stochastic volatility model (2021, to be published)

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  3. Heston, S.: A closed-form solutions for options with stochastic volatility with applications to bond and currency options. Rev. Financ. Stud. 6, 327–343 (1993). https://doi.org/10.1093/rfs/6.2.327

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Correspondence to Francesca Mariani .

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Fatone, L., Mariani, F., Zirilli, F. (2022). A Hybrid Model Based on Stochastic Volatility and Machine Learning to Forecast Log Returns of a Risky Asset. In: Corazza, M., Perna, C., Pizzi, C., Sibillo, M. (eds) Mathematical and Statistical Methods for Actuarial Sciences and Finance. MAF 2022. Springer, Cham. https://doi.org/10.1007/978-3-030-99638-3_38

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