Discrete-time option pricing with stochastic liquidity

M Leippold, S Schärer - Journal of Banking & Finance, 2017 - Elsevier
Classical option pricing theories are usually built on the law of one price, neglecting the
impact of market liquidity that may contribute to significant bid-ask spreads. Within the …

A survey of time consistency of dynamic risk measures and dynamic performance measures in discrete time: LM-measure perspective

TR Bielecki, I Cialenco, M Pitera - Probability, Uncertainty and Quantitative …, 2017 - Springer
In this work we give a comprehensive overview of the time consistency property of dynamic
risk and performance measures, focusing on a the discrete time setup. The two key …

Dynamic conic finance via backward stochastic difference equations

TR Bielecki, I Cialenco, T Chen - SIAM Journal on Financial Mathematics, 2015 - SIAM
We present an arbitrage free theoretical framework for modeling bid and ask prices of
dividend paying securities in a discrete time setup using the theory of dynamic acceptability …

Dynamic assessment indices

TR Bielecki, I Cialenco, S Drapeau, M Karliczek - Stochastics, 2016 - Taylor & Francis
This paper provides a unified framework, which allows, in particular, to study the structure of
dynamic monetary risk measures and dynamic acceptability indices. The main mathematical …

Star-shaped acceptability indexes

MB Righi - Insurance: Mathematics and Economics, 2024 - Elsevier
We propose the star-shaped acceptability indexes as generalizations of both the
approaches of Cherny and Madan (2009) and Rosazza Gianin and Sgarra (2013) in the …

A unified approach to time consistency of dynamic risk measures and dynamic performance measures in discrete time

TR Bielecki, I Cialenco, M Pitera - Mathematics of Operations …, 2018 - pubsonline.informs.org
In this paper, we provide a flexible framework allowing for a unified study of time consistency
of risk measures and performance measures (also known as acceptability indices). The …

Time consistency of dynamic risk measures and dynamic performance measures generated by distortion functions

TR Bielecki, I Cialenco, H Liu - Stochastic Models, 2024 - Taylor & Francis
The aim of this work is to study risk measures generated by distortion functions in a dynamic
discrete time setup and to investigate the corresponding dynamic coherent acceptability …

Acceptability maximization

G Kováčová, B Rudloff, I Cialenco - arxiv preprint arxiv:2012.11972, 2020 - arxiv.org
The aim of this paper is to study the optimal investment problem by using coherent
acceptability indices (CAIs) as a tool to measure the portfolio performance. We call this …

Risk-and ambiguity-averse portfolio optimization with quasiconcave utility functionals

S Källblad - Finance and Stochastics, 2017 - Springer
Motivated by recent axiomatic developments, we study the risk-and ambiguity-averse
investment problem where trading takes place in continuous time over a fixed finite horizon …

From bid-ask credit default swap quotes to risk-neutral default probabilities using distorted expectations

M Michielon, A Khedher, P Spreij - International Journal of …, 2021 - World Scientific
Risk-neutral default probabilities can be implied from credit default swap (CDS) market
quotes. In practice, mid-CDS quotes are used as inputs, as their risk-neutral counterparts are …