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Guide to COST-BENEFIT ANALYSIS of investment projects - Ramiri

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The first component <strong>of</strong> the STPR formula is a utilitarian preference; the second one (p) is a pure time preference.The pure inter-temporal preference reflects consumer’s impatience or, more generally, the present value attributed <strong>to</strong>a future marginal utility. The utilitarian part measures the utility reduction <strong>of</strong> a marginal Euro caused by increases inreal income. This means that in a developing economy where future consumption will be plentiful compared <strong>to</strong> thepresent level, individuals will require more compensation for postponing consumption. The social rate <strong>of</strong> timepreference represents, in fact, the minimum return that individuals demand for giving up some <strong>of</strong> their currentconsumption in exchange for additional consumption in the future.All the values in the formula are country specific, especially those <strong>of</strong> consumption growth (g) that depend directly onGDP, which is quite different across the 27 Member States. Social and individual preferences affect the marginalutility parameter (e); life expectancy and other individual characteristics influence the time preference parameter (p).If we consider mortality-based statistics, a consistent proxy for the utility discount rate (p), we can observe a deathrate very close <strong>to</strong> 1% for the majority <strong>of</strong> countries.Estimation <strong>of</strong> the elasticity <strong>of</strong> the marginal utility <strong>of</strong> consumption, e, is less direct and proves <strong>to</strong> be lesshomogeneous. A range <strong>of</strong> values between 1 and 2 is consistent with the evidence provided by behaviouralapproaches and revealed social preferences based on tax-based data. 110Assuming that income tax structures are at least loosely based on the principle <strong>of</strong> equal absolute sacrifice <strong>of</strong>satisfaction, then the extent <strong>of</strong> progressiveness in the tax structure provides a measure <strong>of</strong> e. 111 The more progressivethe tax structure, and thus the greater the extent <strong>of</strong> social aversion <strong>to</strong> income inequality, then the larger the value <strong>of</strong> e.For the real annual per capita growth rate the best approach would be <strong>to</strong> estimate a long-term development path foreach economy, based on an appropriate growth model. Our estimates are based, however, on past annual growthrates.In Table B.2, where all these values are summarized, we show a purely indicative SDR for some countries.The presence <strong>of</strong> two different groups clearly emerges. As suggested before, the discriminating fac<strong>to</strong>r is the growthrate. It alone justifies the presence <strong>of</strong> different social discount rates for at least two macro-areas: the matureeconomies, on one hand, and the fast-growing ones, on the other. In the EU context this difference can beexpressed in terms <strong>of</strong> eligibility or non-eligibility for the Cohesion Fund.Table B.2 Indicative social discount rates for selected EU Countries based on the STPRapproachNon CF countries G e P SDRAustria 1.9 1.63 1.0 4.1Denmark 1.9 1.28 1.1 3.5France 2.0 1.26 0.9 3.4Italy 1.3 1.79 1.0 3.3Germany 1.3 1.61 1.0 3.1Netherlands 1.3 1.44 0.9 2.8Sweden 2.5 1.20 1.1 4.1CF countries G E P SDRCzech Rep. 3.5 1.31 1.1 5.7Hungary 4.0 1.68 1.4 8.1Poland 3.8 1.12 1.0 5.3Slovakia 4.5 1.48 1.0 7.7Source: Our estimates based on World Bank, European Commission and OECD data 112110Evans (2007) fully develops the STPR method and he studies in detail every parameter <strong>of</strong> the formula and the ways <strong>of</strong> estimating them; amethod that was also mainly used for our assessments.111The formula is the following: e = Log(1-t) / Log(1-T/Y)where t is the marginal rate <strong>of</strong> income tax; T is the <strong>to</strong>tal income tax liability and Y the <strong>to</strong>tal taxable income.112Data from 2000 <strong>to</strong> 2006 are mainly taken from the 2005 spring economic forecast <strong>of</strong> the European Commission (DG ECFIN (2005).‘European Economy’, No 2/2005). Where the OECD Economic Outlook 77 database reported different values from those <strong>of</strong> the EuropeanCommission, they have been replaced. Forecasts for the period 2007-2008 (2009-2010) are taken from the Stability or Convergence Programme <strong>of</strong>member countries, respectively for former European countries and for 2004 entrants. Data for elasticities (e) are taken from the OECD Tax207

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