This paper presents a tractable model of non-linear dynamics of market returns using a Langevin approach.Due to non-linearity of an interaction potential, the model admits regimes of both small and large return fluctuations. Langevin dynamics are mapped onto an equivalent quantum mechanical (QM)...

Measuring the performance of stock portfolios that include options is challenging due to options' nonlinearity in the underlying, their exposure to volatility risk, and their time decay. Our contribution to the literature is twofold: First, we provide a theoretically rigorous derivation of the...

Classical quantitative finance models such as the Geometric Brownian Motion or its later extensions such as local or stochastic volatility models do not make sense when seen from a physics-based perspective, as they are all equivalent to a negative mass oscillator with a noise. This paper...

This manuscript reviews standard classes of Libor Market models and discusses their numerical approximation machinery. It gives introduction to non-defaultable, defaultable models, Levy-forced models and affine Libor models

This paper introduces a structural credit default model that is based on a hyper-exponential jump diffusion process for the value of the firm. For credit default swap prices and other quantities of interest, explicit expressions for the corresponding Laplace transforms are derived. As an...

Asset price processes are completely described by information processes and investors´ preferences. In this paper we derive the relationship between the process of investors´ expectations of the terminal stock price and asset prices in a general continous time pricing kernel framework. To...

Asset price processes are completely described by information processes and investors' preferences. In this paper we derive the relationship between the process of investors ́expectations of the terminal stock price and asset prices in a general continous time pricing kernel framework. To...

The aim of this work is to offer for the first time an application in finance of a new tool that appears to have a great potential in terms of derivative pricing. Non Uniform Discrete Fourier Transforms are innovative, precious tools in the fields of Signals Theory and Images Reconstruction...

This paper explores the impact of volatility estimation methods on theoretical option values based upon the Black-Scholes-Merton (BSM) model. Volatility is the only input used in the BSM model that cannot be observed in the market or a priori determined in a contract. Thus, properly calculating...

This work analyses the common industry practice used to evaluate financial options written on with-profit policies issued by European insurance companies.In the last years regulators introduced, with the Solvency II directive, a market consistent valuation framework for determining the fair...