Financial Planning problems are eminently suited for analysis using the efficient risk & return frontiers. There are in general two schools of modellers who practice Portfolio analytics.(i) continuous time finance specialists and (ii) those specialising in the application of discrete optimisation techniques to portfolio models. In this workshop both these modelling approaches are covered in depth. The continuous time specialists use stochastic differential equations and martingale theory; the applications focus mainly on optimal investment with derivatives, and take into consideration stochastic interest rates, as well as suitable benchmarks. The class of discrete models emanating from Markowitz’s classical Mean-Variance approach are successfully processed as quadratic optimisation problems. Rather belatedly quadratic programs in the form of mean-variance analysis have become the tool of choice when it comes to financial planning, be it portfolio selection, asset liability management models, or index tracking. Further, integer quadratic optimisation is one of the most valuable extensions that make the portfolio selection realistic and applicable by introducing threshold values, numbers to be chosen, and transaction costs. This special two-day course is designed to successfully demonstrate and transfer the skills needed for developing these two classes of portfolio problems.
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- Standard Models and settings in Continuous-Time Portfolio Optimisation
- Discrete Trading with Continuously Optimal Strategies
- Optimal Investment with Derivatives, Benchmarks and Stochastic Interest Rates
- Mean-Variance Portfolio theory: a critique
- Post modern Portfolio theory: upside potential and downside risk
- Mean-Variance CVAR model for long short portfolio construction
- Second order Stochastic dominance (SSD) criterion for Portfolio choice and enhanced indexation.
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At the end of the workshop, the participants will be able to develop their own models for portfolio construction and
- Learn about latest results in continuous-time portfolio optimisation
- Understand how to apply continuous-time results in application
- Get ideas for using continuous-time methods as a benchmark
- Build discrete portfolio choice models with risk-return trade off
- Learn about post-modern portfolio theory with downside risk control
- Learn how downside risk measures and concepts of stochastic dominance are introduced in portfolio choice models
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This workshop is targeted at
- Quantitative and technical analysts,
- Risk analysts,
- Fund managers,
- Academic Researchers
For Quantitative Analysts/Risk Analysts: This workshop give you an overview of the wide range of evolving economic and computational models for portfolio construction.
For Academics and Students: take advantage of our special academic prices to view Portfolio Optimisation from a business perspective. |
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Day 1
TIME |
TOPIC |
PRESENTER |
9.00 |
REGISTRATION AND COFFEE |
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9.15 |
Ice Breaker session |
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9.30 |
Standard Methods and Settings in Continuous-Time Portfolio Optimisation
The Martingale method
Stochastic Control and the HJB-equation |
Ralf Korn |
10.30 |
COFFEE BREAK |
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11.00 |
How to Apply Continuous-Time Methods in Reality? Discrete Trading with Continuously Optimal Strategies |
Ralf Korn |
12.00 |
Optimal Investment in View of a Crash: Worst-Case Portfolio Optimisation |
Ralf Korn |
13.00 |
LUNCH |
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14.00 |
Optimal Investment with Transaction Costs: Theory and Application |
Ralf Korn |
15.00 |
TEA BREAK |
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15.30 |
More Advanced Aspects
Optimal Investment with Derivatives
Optimal Investment with Benchmarks
Optimal Investment with Stochastic Interest Rates |
Ralf Korn |
16.30 |
Discussion and Feedback |
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Day 2
TIME |
TOPIC |
PRESENTER |
9.00 |
REGISTRATION AND COFFEE |
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9.30 |
Introduction and overview |
Gautam Mitra |
9.35 |
Classical Mean-Variance Portfolio theory: a review and a critique |
Gautam Mitra |
10.45 |
COFFEE BREAK |
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11.15 |
Post modern Portfolio theory achieving superior upside potential and controlling downside risk |
Gautam Mitra |
12.30 |
LUNCH |
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13.30 |
Prototype Mean-Variance model with threshold and cardinality constraints; AMPL based models with example datasets |
Diana Roman |
14.45 |
Mean-Variance CVAR model for long short portfolio construction |
Gautam Mitra |
15.30 |
TEA BREAK |
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16.00 |
Use of second order stochastic dominance (SSD) criterion for Portfolio choice : a case study in its application to enhanced indexation strategy |
Diana Roman |
16.45-
17.15 |
Discussion and Feedback |
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Prof. Dr. Ralf Korn is Professor of Financial Mathematics at the University of Kaiserslautern (Germany). He is also heading the Financial Mathematics group at the Fraunhofer Institute for Industrial Mathematics ITWM in Kaiserslautern which collaborates in numerous projects with the finance and the insurance industry. He has written five books (the most recent one on “Monte Carlo Methods and Models in Finance and Insurance”) and has published over 60 papers in refereed journals.
Professor Gautam Mitra is an internationally renowned research scientist in the field of Operational Research especially in computational optimisation and modelling. He is the director of OptiRisk Systems UK (with its subsidiary in India) where he has been instrumental in developing optimisation and modelling products used in Asset Management, Supply Chain Management as well as other sectors. He has developed a world class research group in his area of specialisation with researchers from Europe, UK & USA. He has published three books and over hundred refereed research articles. He was Head of the Department of Mathematical Sciences, Brunel University between 1990 and 2001. In 2001 he has established CARISMA: The Centre for the Analysis of Risk and Optimisation Modelling Applications. CARISMA specialises in the research of Risk and Optimisation and their combined paradigm in decision modelling.
Dr. Diana Roman has a PhD in Models for Choice under Risk, from the School of Information Systems, Computing and Mathematics, Brunel University, UK; MSc in Applied Statistics and Optimisation, and BSc in Mathematics, from University of Bucharest, Romania. Dr Roman is now a faculty member of CARISMA, a lecturer in the school of The School of Information Systems, Computing & Mathematics at Brunel University. Formerly she was a software developer at OptiRisk Systems (KTP associate in a partnership between OptiRisk systems and Brunel University), tasked with designing a software library of scenario generators to be integrated within the SPInE system. Her work experience comprises several years as a teaching assistant in the Department of Mathematics, Technical University of Civil Engineering, Bucharest. Her research interests include Risk decisions in finance (portfolio optimisation), financial risk measurement and modelling, scenario generation, stochastic programming. Dr Roman speaks Romanian and English.
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2 days: £1025 + VAT
Thanks to our sponsors, there are a limited number of bursaries available for academics and research students.
For more information regarding bursaries, please contact us on + 44 (0) 1895 819 488 or email info@optirisk-systems.com
Discounted rates for group bookings can be also arranged on request.
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