We study optimal contracts when R\&D is outsourced to another company. We find that, when a realistic assumption holds, the optimal contract always leads in equilibrium to the lowest acceptable chance of having a successful technical innovation, given announced compensations. This assumption is...

We study optimal investment with multiple assets in the presence of small proportional transaction costs. Rather than computing an asymptotically optimal no-trade region, we optimize over suitable trading frequencies. We derive explicit formulas for these and the associated welfare losses due to...