Governments use redistributive policies to favor relatively unproductive economic sectors. Traditional economic wisdom teaches that the government should instead buy out the agents in these sectors, and let them relocate to more productive sectors. We showthat redistribution to a sector whose agents have highly correlated incomes generates an insurance value. Taking this insurance value into account, a buy-out is not sufficient to compensate the agents in the sector for relocating. In fact, it may be efficient for the government to sustain agents in an activity that, while less productive, is subject to correlated income shocks. US data suggests that indeed, sectors that receive transfers are subject to more correlated income shocks than others.