Long-run risk-sensitive portfolio optimisation with proportional transaction costs and log L\'{e}vy asset prices
We study a long-run risk-sensitive portfolio problem with proportional transaction costs in a continuous-time market whose log-prices are given as a L\'{e}vy process, and rebalancing is possible only at random moments of investment opportunities. Using a Schauder fixed-point argument, we solve the ergodic Bellman equat...