Search Results for author: Janka Möller

Found 2 papers, 2 papers with code

Signature Methods in Stochastic Portfolio Theory

1 code implementation3 Oct 2023 Christa Cuchiero, Janka Möller

We prove that these portfolios are universal in the sense that every continuous, possibly path-dependent, portfolio function of the market weights can be uniformly approximated by signature portfolios.

Joint calibration to SPX and VIX options with signature-based models

1 code implementation30 Jan 2023 Christa Cuchiero, Guido Gazzani, Janka Möller, Sara Svaluto-Ferro

Adding to such a primary process the Brownian motion driving the stock price, allows then to express both the log-price and the VIX squared as linear functions of the signature of the corresponding augmented process.

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