We introduce permanently shifting income shares into a growth model with workers and capital owners. The model exactly replicates the US time paths of the top quintile income share, capital's share of income and key macroeconomic variables from 1970 to 2014. Welfare effects depend on changes in the time pattern of agents' consumption relative to a counterfactual scenario that holds income shares and the transfer-output ratio constant. Short-run declines in workers' consumption are only partially offset by longer-term gains from higher transfers and more capital per worker. The baseline simulation delivers large welfare gains for capital owners and significant welfare losses for workers.