Comparative and qualitative robustness for law-invariant risk measures

V Krätschmer, A Schied, H Zähle - Finance and Stochastics, 2014 - Springer
When estimating the risk of a P&L from historical data or Monte Carlo simulation, the
robustness of the estimate is important. We argue here that Hampel's classical notion of …

[图书][B] Mathematical finance

E Eberlein, J Kallsen - 2019 - Springer
Ernst Eberlein Jan Kallsen Page 1 Springer Finance Ernst Eberlein Jan Kallsen Mathematical
Finance Page 2 Springer Finance Editorial Board Marco Avellaneda Giovanni Barone-Adesi …

On the extension of the Namioka-Klee theorem and on the Fatou property for risk measures

S Biagini, M Frittelli - Optimality and Risk-Modern Trends in Mathematical …, 2010 - Springer
This paper has been motivated by general considerations on the topic of Risk Measures,
which essentially are convex monotone maps defined on spaces of random variables …

[HTML][HTML] Law-invariant return and star-shaped risk measures

RJA Laeven, ER Gianin, M Zullino - Insurance: Mathematics and …, 2024 - Elsevier
This paper presents novel characterization results for classes of law-invariant star-shaped
functionals. We begin by establishing characterizations for positively homogeneous and star …

Multivariate shortfall risk allocation and systemic risk

Y Armenti, S Crépey, S Drapeau… - SIAM Journal on Financial …, 2018 - SIAM
The ongoing concern about systemic risk since the outburst of the global financial crisis has
highlighted the need for risk measures at the level of sets of interconnected financial …

Multivariate risk measures: a constructive approach based on selections

I Molchanov, I Cascos - Mathematical Finance, 2016 - Wiley Online Library
Since risky positions in multivariate portfolios can be offset by various choices of capital
requirements that depend on the exchange rules and related transaction costs, it is natural …

Robust portfolio choice and indifference valuation

RJA Laeven, M Stadje - Mathematics of Operations …, 2014 - pubsonline.informs.org
We solve, theoretically and numerically, the problems of optimal portfolio choice and
indifference valuation in a general continuous-time setting. The setting features (i) ambiguity …

Beyond cash-additive risk measures: when changing the numéraire fails

W Farkas, P Koch-Medina, C Munari - Finance and Stochastics, 2014 - Springer
We discuss risk measures representing the minimum amount of capital a financial institution
needs to raise and invest in a pre-specified eligible asset to ensure it is adequately …

Convex duality in stochastic optimization and mathematical finance

T Pennanen - Mathematics of Operations Research, 2011 - pubsonline.informs.org
This paper proposes a general duality framework for the problem of minimizing a convex
integral functional over a space of stochastic processes adapted to a given filtration. The …

Optimal investment with an unbounded random endowment and utility‐based pricing

MP Owen, G Žitković - Mathematical Finance: An International …, 2009 - Wiley Online Library
This paper studies the problem of maximizing the expected utility of terminal wealth for a
financial agent with an unbounded random endowment, and with a utility function which …