Abstract: In this talk, we present an optimal consumption and investment problem for an investor with liquidity constraints who has isoelastic recursive Epstein-Zin utility preferences and receives a stochastic stream of income. We characterise the optimal consumption strategy as well as the terminal wealth for recursive utility under dynamic liquidity constraints, which prevent the investor to borrow against his stochastic future income. Using duality and backward SDE methods in a possibly non-Markovian diffusion model for the financial market, this gives rise to an interplay of singular control and optimal stopping problems. This talk is based on a joint work with D. Becherer and W. D. Kuissi Kamdem.

Unless otherwise specified, in Term 2 and Term 3, the Stochastic Finance seminar takes place on Wednesdays, starting at 11:00 am. In Term 2, the seminar takes place in Room B2.02 (Chemistry and Science Concourse)Link opens in a new window.

While the seminars will run in person, there is also the possibility to join via MS Teams. If you wish to be added to the respective Team, please contact the seminar organiser Miryana GrigorovaLink opens in a new window.

All are welcome.