Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Validation of machine learning based scenario generators

Machine learning (ML) methods are becoming increasingly important in the design economic scenario generators for internal models. Validation of data-driven models differs from classical theory-based models. We discuss two novel aspects of such a validation: first, checking dependencies between risk

Holy Grail Math 6 Rigor 6.5 ·  January 30, 2023

Enhancing Fourier pricing with machine learning

Fourier pricing methods such as the Carr-Madan formula or the COS method are classic tools for pricing European options for advanced models such as the Heston model. These methods require tuning parameters such as a damping factor, a truncation range, a number of terms, etc. Estimating these tuning

Holy Grail Math 6.5 Rigor 6 ·  December 6, 2024

On the number of terms in the COS method for European option pricing

The Fourier-cosine expansion (COS) method is used to price European options numerically in a very efficient way. To apply the COS method, one has to specify two parameters: a truncation range for the density of the log-returns and a number of terms N to approximate the truncated density by a cosine

Holy Grail Math 7.5 Rigor 5 ·  March 28, 2023

Profit and loss decomposition in continuous time and approximations

Financial institutions and insurance companies that analyze the evolution and sources of profits and losses often look at risk factors only at discrete reporting dates, ignoring the detailed paths. Continuous-time decompositions avoid this weakness and also make decompositions consistent across diff

Lab Rats Math 8.5 Rigor 3 ·  December 13, 2022

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