Time preferences are a dominant influence in cost-benefit analyses of long-term issues such as climate change. FUND, a model for optimal emission control, is used to spell out this influence. Classic discounting at various rates is contrasted with Heal discounting where the discount factor depends logarithmically on the time distance (it does linearly in the classic case), and Rabl discounting where the discount rate is set to zero at a certain point in the future. The choice of the discount rate has a strong influence on total and short-term emission reduction. The effect of Rabl and Heal discounting is like lowering the classic discount rate. International cooperation has a larger effect on optimal emission reduction, however, than does the discount rate. Larger still is the influence of explicitly taking up long-term goals for atmospheric concentrations in the welfare function, using a modification of the Chichilnisky criterion.