國家理論科學研究中心學術演講
NCTS Seminar in Probability Theory

 

 

Topic    :       Risk measures and corresponding optimization 

                     problems (I), (II)

 

Speaker :      Professor Alexander Schied
                     (Technical University Berlin, Germany)

 

Time     :       March 31, 2004 (Wednesday) 

                    (I) 11:00~12:15 

                    (II) 13:30~14:45

 

Abstract:

    A monetary measure of risk is defined as the minimal requirement that, if added to a risky position, makes this position acceptable from the point of view of a regulatory agency. In this lecture, we will review some recent advances in the mathematical analysis of monetary measures of risk, with special focus on law-invariant risk measures. In the first part, we will discuss their axiomatic foundation and general structure theory. In the second part, we will focus on optimization problems in the framework of a financial market model, an example being the optimal design of a contingent claim.
    Here, we study some of the effects that arise when optimality criteria are formulated in terms of risk measures rather than in terms of classical functionals such as the variance or expected utility.

 

Place     :

Lecture Room B,

National Center for Theoretical Sciences
4th Floor, The 3rd General Building,

National Tsing Hua University, Hsin Chu