Building bridges between Mathematics, Insurance and Finance

Fabrizio Durante; Giovanni Puccetti; Matthias Scherer

Dependence Modeling (2015)

  • Volume: 3, Issue: 1, page 17-28, electronic only
  • ISSN: 2300-2298

Abstract

top
Paul Embrechts is Professor of Mathematics at the ETH Zurich specializing in Actuarial Mathematics and Quantitative Risk Management. Previous academic positions include the Universities of Leuven, Limburg and London (Imperial College). Dr. Embrechts has held visiting professorships at several universities, including the Scuola Normale in Pisa (Cattedra Galileiana), the London School of Economics (Centennial Professor of Finance), the University of Vienna, Paris 1 (Panthéon-Sorbonne), theNationalUniversity of Singapore, KyotoUniversity,was Visiting Man Chair 2014 at the Oxford-Man Institute of Oxford University and has an Honorary Doctorate from the University of Waterloo, Heriot-Watt University, Edinburgh, and the Université Catholique de Louvain. He is an Elected Fellow of the Institute of Mathematical Statistics and the American Statistical Association, Honorary Fellow of the Institute and the Faculty of Actuaries, Actuary-SAA, Member Honoris Causa of the Belgian Institute of Actuaries and is on the editorial board of numerous scientific journals.He belongs to various national and international research and academic advisory committees. He co-authored the influential books Modelling of Extremal Events for Insurance and Finance, Springer, 1997 [8] andQuantitative RiskManagement: Concepts, Techniques and Tools, Princeton UP, 2005, 2015 [14] and published over 180 scientific papers. Dr. Embrechts consults on issues in Quantitative Risk Management for financial institutions, insurance companies and international regulatory authorities.

How to cite

top

Fabrizio Durante, Giovanni Puccetti, and Matthias Scherer. "Building bridges between Mathematics, Insurance and Finance." Dependence Modeling 3.1 (2015): 17-28, electronic only. <http://eudml.org/doc/270822>.

@article{FabrizioDurante2015,
abstract = {Paul Embrechts is Professor of Mathematics at the ETH Zurich specializing in Actuarial Mathematics and Quantitative Risk Management. Previous academic positions include the Universities of Leuven, Limburg and London (Imperial College). Dr. Embrechts has held visiting professorships at several universities, including the Scuola Normale in Pisa (Cattedra Galileiana), the London School of Economics (Centennial Professor of Finance), the University of Vienna, Paris 1 (Panthéon-Sorbonne), theNationalUniversity of Singapore, KyotoUniversity,was Visiting Man Chair 2014 at the Oxford-Man Institute of Oxford University and has an Honorary Doctorate from the University of Waterloo, Heriot-Watt University, Edinburgh, and the Université Catholique de Louvain. He is an Elected Fellow of the Institute of Mathematical Statistics and the American Statistical Association, Honorary Fellow of the Institute and the Faculty of Actuaries, Actuary-SAA, Member Honoris Causa of the Belgian Institute of Actuaries and is on the editorial board of numerous scientific journals.He belongs to various national and international research and academic advisory committees. He co-authored the influential books Modelling of Extremal Events for Insurance and Finance, Springer, 1997 [8] andQuantitative RiskManagement: Concepts, Techniques and Tools, Princeton UP, 2005, 2015 [14] and published over 180 scientific papers. Dr. Embrechts consults on issues in Quantitative Risk Management for financial institutions, insurance companies and international regulatory authorities.},
author = {Fabrizio Durante, Giovanni Puccetti, Matthias Scherer},
journal = {Dependence Modeling},
language = {eng},
number = {1},
pages = {17-28, electronic only},
title = {Building bridges between Mathematics, Insurance and Finance},
url = {http://eudml.org/doc/270822},
volume = {3},
year = {2015},
}

TY - JOUR
AU - Fabrizio Durante
AU - Giovanni Puccetti
AU - Matthias Scherer
TI - Building bridges between Mathematics, Insurance and Finance
JO - Dependence Modeling
PY - 2015
VL - 3
IS - 1
SP - 17
EP - 28, electronic only
AB - Paul Embrechts is Professor of Mathematics at the ETH Zurich specializing in Actuarial Mathematics and Quantitative Risk Management. Previous academic positions include the Universities of Leuven, Limburg and London (Imperial College). Dr. Embrechts has held visiting professorships at several universities, including the Scuola Normale in Pisa (Cattedra Galileiana), the London School of Economics (Centennial Professor of Finance), the University of Vienna, Paris 1 (Panthéon-Sorbonne), theNationalUniversity of Singapore, KyotoUniversity,was Visiting Man Chair 2014 at the Oxford-Man Institute of Oxford University and has an Honorary Doctorate from the University of Waterloo, Heriot-Watt University, Edinburgh, and the Université Catholique de Louvain. He is an Elected Fellow of the Institute of Mathematical Statistics and the American Statistical Association, Honorary Fellow of the Institute and the Faculty of Actuaries, Actuary-SAA, Member Honoris Causa of the Belgian Institute of Actuaries and is on the editorial board of numerous scientific journals.He belongs to various national and international research and academic advisory committees. He co-authored the influential books Modelling of Extremal Events for Insurance and Finance, Springer, 1997 [8] andQuantitative RiskManagement: Concepts, Techniques and Tools, Princeton UP, 2005, 2015 [14] and published over 180 scientific papers. Dr. Embrechts consults on issues in Quantitative Risk Management for financial institutions, insurance companies and international regulatory authorities.
LA - eng
UR - http://eudml.org/doc/270822
ER -

References

top
  1. [1] Bedford, T. and R. Cooke (2001). Probabilistic Risk Analysis: Foundations and Methods. Cambridge University Press, Cambridge. Zbl0977.60002
  2. [2] Breiman, L. (1965). On some limit theorems similar to the arc-sin law. Theory Probab. Appl., 10(2), 323–331. Zbl0147.37004
  3. [3] De Vylder, F. (1982). Best upper bounds for integrals with respect to measures allowed to vary under conical and integral constraints. Insurance Math. Econom., 1(2), 109–130. Zbl0488.49030
  4. [4] Donnelly, C. and P. Embrechts (2010). The devil is in the tails: actuarial mathematics and the subprime mortgage crisis. Astin Bull., 40(1), 1–33. [WoS] Zbl1230.91181
  5. [5] Embrechts, P. (2006). Discussion of “Copulas: Tales and facts”, by Thomas Mikosch. Extremes, 9(1), 45–47. 
  6. [6] Embrechts, P. (2009). Copulas: a personal view. J. Risk Insurance, 76(4), 639–650. [WoS] 
  7. [7] Embrechts, P., C. M. Goldie, and N. Veraverbeke (1979). Subexponentiality and infinite divisibility. Z. Wahrsch. verw. Gebiete, 49(3), 335–347. Zbl0397.60024
  8. [8] Embrechts, P., C. Klüppelberg, and T. Mikosch (1997). Modelling Extremal Events for Insurance and Finance. Springer, Berlin. Zbl0873.62116
  9. [9] Embrechts, P., A. J. McNeil, and D. Straumann (2002). Correlation and dependence in risk management: properties and pitfalls. In Risk Management: Value at Risk and Beyond, pp. 176–223. Cambridge University Press, Cambridge. 
  10. [10] Feller, W. (1971). An Introduction to Probability Theory and its Applications. Vol. II. Second edition. John Wiley & Sons, New York, NY. Zbl0219.60003
  11. [11] Joe, H. (1997). Multivariate Models and Dependence Concepts. Chapman & Hall, London. Zbl0990.62517
  12. [12] Joe, H. (2014). Dependence Modeling with Copulas. CRC Press, Boca Raton, FL. Zbl06345338
  13. [13] Lindvall, T. (1977). A probabilistic proof of Blackwell’s renewal theorem. Ann. Probability, 5(3), 482–485. Zbl0363.60075
  14. [14] McNeil, A. J., R. Frey, and P. Embrechts (2015). Quantitative Risk Management: Concepts, Techniques and Tools - revised edition. Princeton University Press, Princeton, NJ. Zbl1337.91003
  15. [15] Mikosch, T. (2006). Copulas: Tales and facts. Extremes, 9(1), 3–20. 
  16. [16] Nelsen, R. B. (1999). An Introduction to Copulas. Springer-Verlag, New York, NY. Zbl0909.62052
  17. [17] Pitman, J. W. (1974). Uniform rates of convergence for Markov chain transition probabilities. Z. Wahrsch. verw. Gebiete, 29, 193–227. Zbl0373.60077
  18. [18] Prohorov, Y. V. (1956). Convergence of random processes and limit theorems in probability theory. Theory Probab. Appl., 1(2), 157–214. 
  19. [19] Rüschendorf, L. (2013). Mathematical Risk Analysis. Dependence, Risk Bounds, Optimal Allocations and Portfolios. Springer, Heidelberg. Zbl1266.91001
  20. [20] Salmon, F. (2009). Recipe for disaster: the formula that killed Wall Street. Wired Magazine, 17(3). 
  21. [21] Salmon, F. (2012). The formula that killed Wall Street. Significance, 9(1), 16–20. 
  22. [22] Skorohod, A. V. (1956). Limit theorems for stochastic processes. Theory Probab. Appl., 1(3), 261–290. 
  23. [23] Zhang, Y. (2014). Bounded gaps between primes. Ann. of Math., 179(3), 1121–1174. Zbl1290.11128

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.