Mathematical Finance and Probability Seminars (Since covid these events are taking place online.)

Oleksii Mostovyi, University of Connecticut: We study the sensitivity of the expected utility maximization problem in a continuous semimartingale market with respect to small changes in the market  price of risk. Assuming that the preferences of a rational economic agent are modeled with a general utility function, we obtain a second-order expansion of the value function, a first-order approximation of the terminal wealth, and construct trading strategies that match the indirect utility function up to the second order. If a risk-tolerance wealth process exists, using it as a numeraire and under an appropriate change of measure, we reduce the approximation problem to a Kunita-Watanabe decomposition. This talk is based on the joint work with Mihai Sirbu.