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Guide to COST-BENEFIT ANALYSIS of investment projects - Ramiri

Guide to COST-BENEFIT ANALYSIS of investment projects - Ramiri

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This <strong>Guide</strong> supports a unique reference FDR value based on the assumption that the funds are drawn from the EUmedian taxpayer. This means that even if the project is region- or beneficiary-specific, the relevant opportunity cos<strong>to</strong>f capital should be based on a European portfolio. Moreover, the integration <strong>of</strong> financial markets should lead <strong>to</strong> aunique value as long as convergence <strong>of</strong> both inflation and interest rates across EU countries is expected in the longterm.This may not, however, be true <strong>of</strong> IPA countries and, under specific circumstances, <strong>of</strong> some EU MemberStates.It should be noted that as long as the FDR is taken as a real discount rate, the analysis should be carried out atconstant prices. If current prices are used throughout the financial analysis, a nominal discount rate (which includesinflation) must be employed.The social discount rateThe discount rate in the economic analysis <strong>of</strong> <strong>investment</strong> <strong>projects</strong> - the social discount rate (SDR) – should reflectthe social view on how future benefits and costs are <strong>to</strong> be valued against present ones. It may differ from thefinancial rate <strong>of</strong> return because <strong>of</strong> market failures in financial markets.The main theoretical approaches are the following:- a traditional view proposes that marginal public <strong>investment</strong> should have the same return as the private one, aspublic <strong>projects</strong> can displace private <strong>projects</strong>;- another approach is <strong>to</strong> derive the social discount rate from the predicted long-term growth in the economy, asfurther explained below in the social time preference approach;- a third, more recent approach, and one that is especially relevant in the appraisal <strong>of</strong> very long-term <strong>projects</strong>, isbased on the application <strong>of</strong> variable rates over time. This approach involves decreasing marginal discount ratesover time and is designed <strong>to</strong> give more weight <strong>to</strong> project impacts on future generations. These decreasing rateshelp mitigate the so-called ‘exponential effect’ from the structure <strong>of</strong> discount fac<strong>to</strong>rs, which almost cancels moredistant economic flows when discounted in a standard way.In practice a shortcut solution is <strong>to</strong> consider a standard cut-<strong>of</strong>f benchmark rate. The aim here is <strong>to</strong> set a required rate<strong>of</strong> return that broadly reflects the social planner’s objectives.Still, consensus is growing around the social time preference rate (STPR) approach. This approach is based on thelong term rate <strong>of</strong> growth in the economy and considers the preference for benefits over time, taking in<strong>to</strong> account theexpectation <strong>of</strong> increased income, or consumption, or public expenditure. An approximate and generally used formulafor estimating the social discount rate from the growth rate can be expressed as follows:r = eg + pwhere r is the real social discount rate <strong>of</strong> public funds expressed in an appropriate currency (e.g. Euro); g is thegrowth rate <strong>of</strong> public expenditure; e is the elasticity <strong>of</strong> marginal social welfare with respect <strong>to</strong> public expenditure, andp is a rate <strong>of</strong> pure time preference.On the basis <strong>of</strong> social time preference, France set a 4% real discount rate in 2005 (formerly fixed at 8%); in 2004Germany reduced its social discount rate from 4% <strong>to</strong> 3%. The HM Treasury Green Book <strong>of</strong> 2003 was actually theprecursor <strong>of</strong> these reductions: the real discount rate in the UK was reduced from 6% <strong>to</strong> 3.5% 108 .The EC, DG Regio, has suggested a 5.5% SDR for the Cohesion countries and 3.5% for the others (EC WorkingDocument 4) 109. Every Member State should assess its country-specific social discount rate. In any case, there may begood arguments in favour <strong>of</strong> using these two benchmark values for broad macro-areas in terms <strong>of</strong> their potential foreconomic growth (see below).For our practical purposes, it may be useful <strong>to</strong> reinterpret the STRP formula in terms <strong>of</strong> consumption. Let ussuppose g is the growth rate <strong>of</strong> consumption, e is the elasticity <strong>of</strong> marginal utility with respect <strong>to</strong> consumption, and pis the inter-temporal preference rate.108The application <strong>of</strong> declining discount rates, and the associated hyperbolic path for the present value weights or discount fac<strong>to</strong>rs attached <strong>to</strong>future benefits and costs, merits a fuller consideration, especially as some <strong>of</strong> the <strong>projects</strong> considered in the <strong>Guide</strong> have <strong>investment</strong> horizonsexceeding 50 years. The HM Treasury Green Book (2003) includes a schedule <strong>of</strong> declining long-term discount rates for very long-term <strong>projects</strong>based on a starting STPR <strong>of</strong> 3.5% (the standard discount rate for normal long-term <strong>projects</strong> with <strong>investment</strong> horizons <strong>of</strong> up <strong>to</strong> 30 years). TheGreen Book also includes a table showing the marginal discount fac<strong>to</strong>rs up <strong>to</strong> 500 years ahead. The Stern Report (2006) on Climate Change uses a0.1% per year, and discusses declining social discount rates.109See also Florio (2006) for a non-technical discussion206

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