|
Financial mathematical background
|
|
Modern (continuous-time) financial mathematics has repeatedly attracted
public attention by its spectacular results, some of which have even been
awarded with Nobel prizes.
Most parts of this modern mathematics is successfully applied daily
in numerous banks.
Many theoretical results of modern financial mathematics
still have to be examined with regard to their practical applicability
and with regard to their transformation to the industry.
The crisis of the financial market in 2007/2008 made clear
that risks were underestimated and methods of financial mathematics were
insufficiently or wrongly applied.
The crisis was triggered by an uncontrolled credit allocation
and that banks over the world entered into the default risks.
This is particular irritating given the intensive recent discussions
on managing the risks at financial markets in the light of the new
Basel capital accord („Basel II“).
The financial market faces right now liquidity problems,
because the banks do not trust each other due to the (almost) bankrupts
(Lehman Brothers, Merrill Lynch,
Hypo Real Estate, IKB,
HBOS, Brandford & Bingley, Fortis)
and therefore do not lean money between each other.
|
|
Aims of Cooperation
|
|
We see a big necessity for the development of further theoretical models
for fundamental aspects of risk management and modelling in the finance
business
(among others also within neglected areas such as liquidity planning),
as well as the concrete application of so far only theoretically relevant
results
(e.g. results in continuous-time portfolio optimization under practically
relevant constraints such as transaction costs),
and finally the development of simulation software which could be used
for asset liability management in banks and insurance companies.
|