We discuss the redistribution effects of transfer using a conditional-choice general equilibrium model. We calibrate it to UK data for the early 2000s. Results indicate that a money-metric measure of the welfare value of transfer received by the bottom decile of UK households equals 17% of the cash transfer.
INTRODUCTIONMost empirical work that seeks to assess the redistributive effects of transfers paid to lower-income households (AFDC in the United States; income and housing benefit in the United Kingdom) assumes that recipient households are made better off by the full amount of net cash transfers received (net of any tax-back), with wage and other behavioural responses largely ignored. 1 Considerable energy is devoted in some of this literature to calculating and modelling the complex tax-back schemes that accompany these transfers, with implicit tax rates varying by household and income characteristics, discontinuities and spikes appearing in tax rate profiles, and other complex institutional features captured. However, as an extensive older review of the then available work on transfer programmes by Danziger et al. (1981) says, 'the redistributive effect of transfers is generally measured by comparing pre-transfer and post transfer income distributions. This comparison assumes that transfers elicit no behavioral response that would cause income without transfers to deviate from observed pre-transfer income'.2 Subsequent and more recent work in this area, e.g. Dickert et al. (1995), Moffitt (1992) and Hoynes (1993), have focused on partial equilibrium labour supply impacts of transfer programmes, but with only limited attention to impacts on other endogenous variables, including welfare and wage rates. (See Creedy and Kalb 2005 for a more recent review of partial equilibrium literature, including some attempts to compare changes in disposable incomes to changes in ability.)The point of departure in this paper is the observation, which seems not to have appeared in the literature, 3 that, with voluntary participation in transfer programmes (with tax-back or withdrawal provisions), the utility, or real income, value of transfers to participants is typically less than the cash transfers received. If impacts on wage rates are ignored for the moment, individuals (or households) compare utility across two regimes: one with benefits and tax-back arrangements, and the other with no benefits and no taxback, choosing the higher-utility regime. A money-metric utility comparison between the regimes (the real income difference) bears no direct relation to the net of tax-back cash transfer actually received. Indeed, in the extreme case where an individual (or household) is indifferent between participating and not participating, if they were recorded as a benefit programme participant, the real income gain to them from participation in the transfer programme would be zero, despite the disbursement of public funds to the recipient. We therefore argue that in general, and ignoring wage rate effects, the real income rec...