Departement Mathematik

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Talks in financial and insurance mathematics

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Frühjahrssemester 2015

Datum / Zeit Referent:in Titel Ort
5. Februar 2015
17:15-18:15 		Johannes Ruf
Oxford-Man Institute of Quantitative Finance
Details

Talks in Financial and Insurance Mathematics

Titel A Numeraire-Independent Version of the Fundamental Theorem of Asset Pricing
Referent:in, Affiliation Johannes Ruf, Oxford-Man Institute of Quantitative Finance
Datum, Zeit 5. Februar 2015, 17:15-18:15
Ort HG G 43
Abstract The Fundamental Theorems of Asset Pricing are aptly-named results that show the relationship between absence of arbitrage and the martingale property. These theorems are fundamental to mathematical finance in that they provide the bridge between the mathematics and the finance: on the one side, the mathematical objects of stochastic processes and martingale measures; on the other the financial ideas of trading strategies and arbitrage. We aim to widen the bridge to cover cleanly the case when there are multiple financial assets, any of which may potentially lose all value relative to the others. To do this we shift away from having a pre-determined numeraire to a more symmetrical point of view where all assets have equal priority. Joint work with Travis Fisher and Sergio Pulido.
Unterlagen Slidesfile_download
A Numeraire-Independent Version of the Fundamental Theorem of Asset Pricingread_more
HG G 43
19. Februar 2015
17:15-18:15 		Edward Furman
York University, Canada
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Talks in Financial and Insurance Mathematics

Titel Paths and indices of maximal tail-dependence
Referent:in, Affiliation Edward Furman, York University, Canada
Datum, Zeit 19. Februar 2015, 17:15-18:15
Ort HG G 43
Abstract I will hint that the existing methods for measuring tail dependence in copulas may sometimes underestimate the extent of extreme co-movements of dependent risks and, therefore, may not always comply with the new paradigm of prudent risk management. This phenomenon holds in the context of both symmetric and asymmetric copulas with and without singularities. As a remedy, I will introduce a notion of paths of maximal (tail) dependence and utilize it to propose several new indices of tail dependence. The suggested new indices are conservative, conform with the basic concepts of modern quantitative risk management, and are able to distinguish between distinct risky positions in situations when the existing indices fail to do so. This is a joint work with Jianxi Su of York University and Ricardas Zitikis of the University of Western Ontario.
Paths and indices of maximal tail-dependenceread_more
HG G 43
* 24. Februar 2015
17:15-18:15 		Jan Kallsen
Universität Kiel
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Talks in Financial and Insurance Mathematics

Titel On portfolio optimization with small transaction costs: some recent results
Referent:in, Affiliation Jan Kallsen, Universität Kiel
Datum, Zeit 24. Februar 2015, 17:15-18:15
Ort HG G 43
Abstract Portfolio optimization problems with frictions as e.g. transaction costs are hard to solve explicitly. In the limit of small costs, solutions are often of much simpler structure. In the last twenty years, considerable progress has been made both in order to derive formal asymptotics as well as rigorous proofs. In this talk we discuss some recent results, in particular on fixed costs.
On portfolio optimization with small transaction costs: some recent resultsread_more
HG G 43
* 25. Februar 2015
17:15-18:15 		Ben Berckmoes
University of Antwerp
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Talks in Financial and Insurance Mathematics

Titel Approach theory in mathematical statistics
Referent:in, Affiliation Ben Berckmoes, University of Antwerp
Datum, Zeit 25. Februar 2015, 17:15-18:15
Ort HG G 43
Abstract Approach theory is a topological theory which constitutes the canonical framework for the development of indices which measure up to what extent topological properties are valid. The theory has in the last years reached a degree of maturity allowing it to be applied in various branches of mathematical analysis, including probability theory and mathematical statistics. In this talk we give an introduction to approach theory and explain how it is connected to probability theory through so-called quantitative central limit theory. We also give a first statistical application by looking at the asymptotic behavior of the sample mean with contaminated observations.
Approach theory in mathematical statisticsread_more
HG G 43
16. April 2015
17:15-18:15 		Artem Neklyudov
Université de Lausanne
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Talks in Financial and Insurance Mathematics

Titel Bid-Ask Spreads and the Over-the-Counter Interdealer Markets: Core and Peripheral Dealers
Referent:in, Affiliation Artem Neklyudov, Université de Lausanne
Datum, Zeit 16. April 2015, 17:15-18:15
Ort HG G 43
Abstract This paper studies how the coexistance of dealers with different search technologies on an over-the-counter (OTC) market affects asset pricing, customer bid-ask spreads, interdealer trade volumes, and efficiency of asset allocation. Empirical evidence suggests that dealer networks on OTC markets for corporate bonds, municipal bonds, and securitizations have a core-peripheral structure, and that terms of trade for customers depend on whether customers trade with core dealers or peripheral dealers. The paper shows that, on OTC markets, differences in the trade execution efficiency between core dealers and peripheral dealers can explain the observed differences in customer pricing and the observed interdealer trade patterns.
Unterlagen Preprintfile_download
Bid-Ask Spreads and the Over-the-Counter Interdealer Markets: Core and Peripheral Dealersread_more
HG G 43
23. April 2015
17:15-18:15 		Jonathan Donier
Université Paris 6 & CFM
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Talks in Financial and Insurance Mathematics

Titel How agents' decisions impact prices: Empirical evidence, theory and implications
Referent:in, Affiliation Jonathan Donier, Université Paris 6 & CFM
Datum, Zeit 23. April 2015, 17:15-18:15
Ort HG G 43
Abstract The non linear impact of agents' decisions on market prices is arguably one of the main puzzles that arise when it comes to unraveling the price formation mechanism on (non-)financial markets. Supported by strong evidence from the Bitcoin market, we develop a reaction-diffusion model that consistently accounts for most empirical facts known so far on price impact, thus resolving the apparent "square root impact law" paradox and laying new foundations for addressing common impact-related problems (among which, agent-based modelling, trading costs minimization and monitoring of market liquidity and stability).
How agents' decisions impact prices: Empirical evidence, theory and implicationsread_more
HG G 43
30. April 2015
17:15-18:15 		Christa Cuchiero
Universität Wien
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Talks in Financial and Insurance Mathematics

Titel A General HJM Framework for Multiple Yield Curve Modeling
Referent:in, Affiliation Christa Cuchiero, Universität Wien
Datum, Zeit 30. April 2015, 17:15-18:15
Ort HG G 43
Abstract We propose a general framework for modeling multiple yield curves which have emerged after the last financial crisis. In a general semimartingale setting, we provide an HJM approach to model the term structure of multiplicative spreads between FRA rates and simply compounded OIS forward rates, which also have an interpretation in terms of a foreign exchange analogy. We derive an HJM drift and consistency condition ensuring absence of arbitrage and, in addition, we show how to construct models such that multiplicative spreads are greater than one and ordered with respect to the tenor’s length. When the driving semimartingale is an affine process, we obtain a flexible and tractable Markovian structure. Finally, we show that the proposed framework allows to unify and extend several recent approaches to multiple yield curve modeling. The talk is based on joint work with Claudio Fontana and Alessandro Gnoatto.
A General HJM Framework for Multiple Yield Curve Modelingread_more
HG G 43
7. Mai 2015
17:15-18:15 		Fred Espen Benth
University of Oslo
Details

Talks in Financial and Insurance Mathematics

Titel Stochastic volatility in energy forward prices
Referent:in, Affiliation Fred Espen Benth, University of Oslo
Datum, Zeit 7. Mai 2015, 17:15-18:15
Ort HG G 43
Abstract We propose an infinite-dimensional version of the Barndorff-Nielsen and Shephard stochastic volatility model, and apply it to forward pricing in energy markets. Some properties of Hilbert space valued Ornstein-Uhlenbeck processes are studied, like the characteristic functional.
Stochastic volatility in energy forward pricesread_more
HG G 43
* 12. Mai 2015
17:15-18:15 		Yavor Stoev
London School of Economics
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Talks in Financial and Insurance Mathematics

Titel Equilibrium with imbalance of the derivative market
Referent:in, Affiliation Yavor Stoev, London School of Economics
Datum, Zeit 12. Mai 2015, 17:15-18:15
Ort HG G 43
Abstract We investigate the impact of imbalanced derivative markets - markets in which not all agents hedge - on the underlying stock market. The availability of a closed-form representation for the equilibrium stock price in the context of a complete (imbalanced) market with terminal consumption allows us to study how this equilibrium outcome is affected by the risk aversion of agents and the degree of imbalance. In particular, it is shown that the derivative imbalance leads to significant changes in the equilibrium stock price process: volatility changes from constant to local, while risk premia increase or decrease depending on the replicated contingent claim, and become stochastic processes. Moreover, the model produces implied volatility smile consistent with empirical observations.
Equilibrium with imbalance of the derivative marketread_more
HG G 43
14. Mai 2015
17:15-18:15
Details

Talks in Financial and Insurance Mathematics

Titel Ascension day
Referent:in, Affiliation
Datum, Zeit 14. Mai 2015, 17:15-18:15
Ort
Ascension day
* 21. Mai 2015
13:00-14:00 		Marcel Nutz
Columbia University
Details

Talks in Financial and Insurance Mathematics

Titel Optimal Transport and Robust Finance
Referent:in, Affiliation Marcel Nutz, Columbia University
Datum, Zeit 21. Mai 2015, 13:00-14:00
Ort HG G 19.2
Abstract After a brief introduction to classical optimal transport, we shall focus on the so-called martingale optimal transport and its connection to finance, the problem of robust semi-static hedging. Some differences with the classical transport problem will be highlighted, in particular the failure of duality in the usual sense. We explain how to obtain a complete duality theory using notions related to Knightian uncertainty about pricing models. Based on joint work with Mathias Beiglböck and Nizar Touzi.
Optimal Transport and Robust Financeread_more
HG G 19.2
21. Mai 2015
17:15-18:15 		Adrian Buss
INSEAD
Details

Talks in Financial and Insurance Mathematics

Titel Trading Fees and Slow-Moving Capital
Referent:in, Affiliation Adrian Buss, INSEAD
Datum, Zeit 21. Mai 2015, 17:15-18:15
Ort HG G 43
Abstract In some situations, investment capital seems to move slowly towards profitable trades. We develop a model of a financial market in which capital moves slowly simply because there is a proportional cost to moving capital. We incorporate trading fees in an infinite-horizon dynamic general-equilibrium model in which investors optimally and endogenously decide when and how much to trade. We determine the steady-state equilibrium no-trade zone, study the dynamics of equilibrium trades and prices and compare, for the same shocks, the impulse responses of this model to those of a model in which trading is infrequent because of investor inattention.
Trading Fees and Slow-Moving Capitalread_more
HG G 43
28. Mai 2015
17:15-18:15 		Claude Martini
Zeliade Systems
Details

Talks in Financial and Insurance Mathematics

Titel Martingale measures with given marginals: extremal points and perturbations
Referent:in, Affiliation Claude Martini, Zeliade Systems
Datum, Zeit 28. Mai 2015, 17:15-18:15
Ort HG G 43
Abstract The extremal points in the set of all measures with pre-specified marginals, without the martingale constraint, have been extensively studied by many authors in the past (e.g. Douglas, Letac, Denny, Klopotowski to cite only a few). In this talk, we will focus on the characterization provided by Denny in the countable case: a key property is that the support of the probability Q has no “cycle”, otherwise a perturbation of Q can be constructed so that Q can not be extremal. In the context of the 2 marginals martingale problem we give an analogous "cycle-like" property that corresponds to martingale perturbations and investigate in detail the support of extremal points in the countable case.
Martingale measures with given marginals: extremal points and perturbationsread_more
HG G 43
11. Juni 2015
17:15-18:15 		Tony Ware
University of Calgary
Details

Talks in Financial and Insurance Mathematics

Titel Splitting methods and energy derivative pricing
Referent:in, Affiliation Tony Ware, University of Calgary
Datum, Zeit 11. Juni 2015, 17:15-18:15
Ort HG G 43
Abstract Operator splitting methods form a staple part of our arsenal of approaches to the numerical solution of PDEs. They work by a `divide and conquer' approach, reducing a complex problem to a sequence of simpler problems, which confers advantages when it comes to designing, coding and analyzing algorithms. We discuss some uses of operator splitting methods for certain types of Hamilton-Jacobi-Bellman equations arising in energy derivative pricing, and describe in detail an example relating to gas storage valuation. We will also illustrate how operator splitting can be used to extend the applicability of existing methods to more complex settings; for example, we show how, through the use of splitting, Fourier methods can be applied to valuation problems with non-constant coefficients or in high dimensional settings.
Splitting methods and energy derivative pricingread_more
HG G 43
* 15. Juni 2015
17:15-18:15 		Hansjoerg Albrecher
Université de Lausanne
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Talks in Financial and Insurance Mathematics

Titel On Optimal Dividend Strategies for Two Collaborating Insurance Companies
Referent:in, Affiliation Hansjoerg Albrecher, Université de Lausanne
Datum, Zeit 15. Juni 2015, 17:15-18:15
Ort HG G 43
Abstract In this talk a two-dimensional optimal dividend problem in the context of two insurance companies is considered. The companies collaborate by paying each other’s deficit when possible. Extending results of univariate optimal control theory, the problem of maximizing the weighted sum of expected discounted dividend payments until ruin of both companies is studied. Comparisons of the optimal solution to the alternative of merging the two companies or to optimize dividends on a stand-alone basis are illustrated by way of example (based on joint work with P. Azcue and N. Muler).
On Optimal Dividend Strategies for Two Collaborating Insurance Companiesread_more
HG G 43
18. Juni 2015
17:15-18:15 		Antoine Jacquier
Imperial College London
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Talks in Financial and Insurance Mathematics

Titel Variations on the Heston Theme
Referent:in, Affiliation Antoine Jacquier, Imperial College London
Datum, Zeit 18. Juni 2015, 17:15-18:15
Ort HG G 43
Abstract The Heston model is one of the most popular stochastic volatility models used in mathematical finance, both in academia and by practitioners. Calibration on (Equity) implied volatility surfaces usually exhibit a good fit and the affine structure of the model makes it very amenable to option pricing. However, both the short-term smile and the VIX smile are notoriously mis-calibrated. We propose here variations of the Heston model, which we call "randomised (Heston) volatility models"; these variations, still with continuous paths, preserve the affine structure while allowing for better small-maturity asymptotic behaviour and are more consistent with the behaviour of the VIX smile.
Variations on the Heston Themeread_more
HG G 43
* 25. Juni 2015
11:00-12:00 		Andrew Lo
MIT
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Talks in Financial and Insurance Mathematics

Titel Evolutionary Foundations of Economic Behavior, Bounded Rationality, and Intelligence
Referent:in, Affiliation Andrew Lo, MIT
Datum, Zeit 25. Juni 2015, 11:00-12:00
Ort HG E 1.1
Abstract In a simple evolutionary model with one-period agents that make binary choices which determine their reproductive success, we show that natural selection is capable of generating several behaviors that have been observed in organisms ranging from ants to human subjects, including risk-sensitive foraging, risk aversion, loss aversion, probability matching, randomization, and diversification. Given an initial population of individuals, each assigned a purely arbitrary behavior with respect to a binary choice problem, and assuming that offspring behave identically to their parents, only those behaviors linked to reproductive success will survive, and less reproductively successful behaviors will disappear at exponential rates. When the uncertainty in reproductive success is systematic, natural selection yields behaviors that may be individually sub-optimal but are optimal from the population perspective; when reproductive uncertainty is idiosyncratic, the individual and population perspectives coincide. The simplicity and generality of our model imply that these derived behaviors are primitive and universal within and across species. This framework also suggests a natural definition of intelligence---any behavior positively correlated with reproductive success---and links physiological and environmental constraints to the degree of intelligence that emerges, i.e., bounded rationality.
Evolutionary Foundations of Economic Behavior, Bounded Rationality, and Intelligenceread_more
HG E 1.1
2. Juli 2015
17:15-18:15 		Stefan Waldenberger
TU Graz
Details

Talks in Financial and Insurance Mathematics

Titel Extension of affine market models
Referent:in, Affiliation Stefan Waldenberger, TU Graz
Datum, Zeit 2. Juli 2015, 17:15-18:15
Ort HG G 43
Abstract The class of affine LIBOR models is appealing since it satisfies three central requirements of interest rate modeling. It is arbitrage-free, interest rates are nonnegative and caplet and swaption prices can be calculated analytically. In order to guarantee nonnegative interest rates affine LIBOR models are driven by nonnegative affine processes, a restriction, which makes it hard to produce volatility smiles. The first part of the talk presents a modification of the affine LIBOR models, so that real-valued affine processes can be used without destroying the nonnegativity of interest rates. Numerical examples show that in this class of models pronounced volatility smiles are possible. The second part then extends the affine LIBOR models to inflation markets. Due to the highly tractable structure of the model prices for all standard inflation derivatives can be calculated analytically. A calibration example shows that the model can reproduce market-observed prices very accurately.
Extension of affine market modelsread_more
HG G 43

Hinweise: mit einem Stern gekennzeichnete Ereignisse (*) zeigen an, dass die Zeit und/oder der Ort von der üblichen Zeit und/oder dem üblichen Ort abweichen.

Organisatoren:innen: Paul Embrechts, Martin Schweizer, Halil Mete Soner, Josef Teichmann, Mario Valentin Wüthrich

Archiv: HS 24 FS 24 HS 23 FS 23 HS 22 FS 22 HS 21 FS 21 FS 20 HS 19 FS 19 HS 18 FS 18 HS 17 FS 17 HS 16 FS 16 HS 15 FS 15 HS 14 FS 14 HS 13 FS 13 HS 12 FS 12 HS 11 FS 11 HS 10 FS 10 HS 09

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