The German Energiewende envisages achieving a climate-neutral building stock in 2050 by means of two major pillars of regulation. First, residential buildings should consume 80% less primary energy and second; the remaining energy demand should be covered primarily with renewables. This paper simulates the future German heating market under different policy scenarios in order to evaluate the impact and limits of recent and conceivable policies. The investigation is based upon a dual model approach, linking a residential heating model to a discrete choice model. The major finding is that current regulations are not suitable for the achievement of governmental targets. Scenario calculations show that additional carbon emission reductions, triggered by the current regulatory regime, are falling short of expectations. In terms of economic efficiency, all calculated policy alternatives outperform the regulation currently in place. This allows to draw the conclusion that carbon emission reductions can be achieved without a major increase in cost. The model results highlight two policy implications. First, a rising mandatory share of renewables in the heating market is needed for target achievement and can be cost effectively. Second, renewable obligations for heating systems must include the existing building stock to achieve the postulated political targets. (C) 2016 Elsevier Ltd. All rights reserved.