Machine-learning regression methods for American-style path-dependent contracts

Matteo Gambara, Giulia Livieri and Andrea Pallavicini

LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library

Abstract: Evaluating financial products with early-termination clauses, particularly those with path-dependent structures, is challenging. This paper focuses on Asian options, look-back options, and callable certificates. We will compare regression methods for pricing and computing sensitivities, highlighting modern machine learning techniques against traditional polynomial basis functions. Specifically, we will analyze randomized recurrent and feed-forward neural networks, along with a novel approach using signatures of the underlying price process. For option sensitivities like Delta and Gamma, we will incorporate Chebyshev interpolation. Our findings show that machine learning algorithms often match the accuracy and efficiency of traditional methods for Asian and look-back options, while randomized neural networks are best for callable certificates. Furthermore, we apply Chebyshev interpolation for Delta and Gamma calculations for the first time in Asian options and callable certificates.

Keywords: amerasian options; callable certificates; random networks; Chebyshev Greeks; early termination; signature methods (search for similar items in EconPapers)
JEL-codes: C63 G13 (search for similar items in EconPapers)
Pages: 24 pages
Date: 2025-06-30
New Economics Papers: this item is included in nep-big and nep-cmp
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Published in Quantitative Finance, 30, June, 2025, 25(6), pp. 895 - 918. ISSN: 1469-7688

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