By applying stochastic dominance arguments, upper bounds on the reservation write price of European calls and puts and lower bounds on the reservation purchase price of these derivatives are derived in the presence of proportional transaction costs incurred in trading the underlying security....

Appendix A demonstrates an error in the Genotte and Jung (1994) solution; Appendix B presents the Hamilton-Bellman-Jacoby equation in continuous time; Appendix C presents the exact solution in discrete time; Appendix D presents a numerical solution to the Liu and Loewenstein (2007) problem

By applying stochastic dominance arguments, upper bounds on the reservation write price of European calls and puts and lower bounds on the reservation purchase price of these derivatives are derived in the presence of proportional transaction costs incurred in trading the underlying security....

We derive allocation rules under isoelastic utility for a mixed jump-diffusion process in a two-asset portfolio selection problem with finite horizon in the presence of proportional transaction costs; we allow cash dividends on the risky asset. The allocation shifts toward the riskless asset...