For more information about this meeting, contact Leonid Berlyand, Mark Levi, Alexei Novikov.
|Title:||A model for price impact|
|Seminar:||Applied Analysis Seminar|
|Speaker:||Dmitry Kramkov, Mathematics Department, Carnegue Mellon University|
|A typical financial model presumes that the prices of traded
securities are not affected by an investor's buy and sell orders.
From a practical viewpoint this assumption is justified as long as his
trading volume remains small enough to be easily covered by market
liquidity. An opposite situation occurs, for instance, when an
economic agent has to sell a large block of shares over a short period
of time; this is an "optimal liquidation" problem.
I present results of our joint work with Peter Bank from Humboldt University of Berlin. We develop a continuous-time model for a large investor trading at market indifference prices. In analogy to the construction of stochastic integrals, we investigate the transition from simple to general predictable strategies. A key role is played by a stochastic differential equation for the market makers' utility process. The analysis of this equation relies on conjugacy relationships between the stochastic processes with values in the spaces of saddle functions associated with the representative agent's utility. Two preprints on the subject are available on
Room Reservation Information
|Date:||04 / 12 / 2011|
|Time:||04:00pm - 05:00pm|