We consider agent trading futures on a market with small transaction costs. Her capital is deposited on a money market account, where compounding is possible. Arithmetic Brownian motion with random coefficients is considered as a model for futures strike price. The coefficients are assumed to be bounded Itô processes with bounded coefficients. Under these assumptions, an almost optimal interval strategy is derived, which almost maximizes expected utility in certain stopping times under hyperbolic absolute risk aversion utility function. Furthermore, under logarithmic utility function the derived strategy almost maximizes expected utility in wide class of (integrable) stopping times.
| Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:300258 |
| Date | January 2011 |
| Creators | Jusko, Martin |
| Contributors | Dostál, Petr, Štěpán, Josef |
| Source Sets | Czech ETDs |
| Language | Czech |
| Detected Language | English |
| Type | info:eu-repo/semantics/masterThesis |
| Rights | info:eu-repo/semantics/restrictedAccess |
Page generated in 0.0018 seconds