Quantitative finance has become these last years a extraordinary field
of research and interest as well from an academic point of view as for
practical applications.
At the same time, pension issue is clearly a major economical and
financial topic for the next decades in the context of the well-known
longevity risk. Surprisingly few books are devoted to application of
modern stochastic calculus to pension analysis.
The aim of this book is to fill this gap and to show how recent methods
of stochastic finance can be useful for to the risk management of
pension funds. Methods of optimal control will be especially developed
and applied to fundamental problems such as the optimal asset allocation
of the fund or the cost spreading of a pension scheme. In these various
problems, financial as well as demographic risks will be addressed and
modelled.