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1 Evaluation of CBA Evaluation of CBA Experienc e and Key Issues Experienc e and Key Issues  Ministry of Environ ment and Water Ma nagem ent  Ministry of Environ ment and Water Ma nagem ent  Mana ging Authority fo r SOP En vironment  Mana ging Authority fo r SOP En vironment Venera Ven era VLAD VLAD  Bucharest, 10  Bucharest, 10  th  th October 2008 October 2008 Content Content CBA Objective and Context CBA Objective and Context  Key issue s of CBA  Key issue s of CBA  Demand Analysis  Demand Analysis Selection of the preferred Selection of the preferred option  option Alternatives Considered Alternatives Considered Cost Benefit Cost Benefit Analysis  Analysis Incremental Approach Incremental Approach Investment Plan Investment Plan Sustainability Analysis Sustainability Analysis Affordability Affordability  Institutional  Institutional and Environmental Analysis  and Environmental Analysis Sensitivity Sensitivity and Risk Analysis  and Risk Analysis  Application Form  Application Form  EU Grant Calculation  EU Grant Calculation  Financial & Economic Indicators  Financial & Economic Indicators 2  Managing Authority for SOP Environment  Managing Authority for SOP Environment  Managing Authority for SOP Environment  Managing Authority for SOP Environment Objectives of Objectives of CBA CBA To To e nsur e ensur e that that the the optimal opti mal opti on op ti on is is selected selected (economical economical  analysis  analysis ) the theproject project meets meetsaa real real demand demand optimum optimumuse use is is mad e mad e of of scar ce scarceresource s resources the theproject proje ct is is desig ned desig nedin in a a cost costeffective effective manner manner the theproject proje ct will wil l be be sustain able sustain ableover overtime time To To dete rmine det er mine the the funding funding gap gap of  of the the se le ct ed sel ect ed opt ion opti on an d and to to calculate calcu late the the eligib le eligib le expe nditur e expe nditur e ( (  financ ial  financ ial analys is  analys is) according accordingto to articl e articl e 55 55( (2 2) ) of of regu lation regu lation1083 1083/  /2006 2006 To To assess assess the the robust nes s robus tnes s of  of the the se lect ed se lec ted pro jec t pro jec t opt ion op ti on (  risk  risk  analysis  analysis ) To To ide nt ify ide nt ify the the ri sks ri sk s at at an an ear ly ear ly stag e stag e wi th wit h avie w vi ew t o t o t ake t ak e m mitigation itigation measures measures 3  Managing Authority for SOP Environment  Managing Authority for SOP Environment  Managing Authority for SOP Environment  Managing Authority for SOP Environment

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Evaluation of CBAEvaluation of CBAExperience and Key IssuesExperience and Key Issues

 Ministry of Environment and Water Management Ministry of Environment and Water Management

 Managing Authority for SOP Environment Managing Authority for SOP Environment

VeneraVenera VLADVLAD

 Bucharest, 10 Bucharest, 10 th th October 2008October 2008

ContentContent CBA Objective and ContextCBA Objective and Context

 Key issues of CBA Key issues of CBA  Demand Analysis Demand Analysis

Selection of the preferredSelection of the preferred option option Alternatives ConsideredAlternatives Considered

Cost BenefitCost Benefit Analysis Analysis Incremental ApproachIncremental Approach

Investment PlanInvestment Plan

Sustainability AnalysisSustainability Analysis AffordabilityAffordability

 Institutional Institutional and Environmental Analysis and Environmental Analysis

SensitivitySensitivity and Risk Analysis and Risk Analysis

 Application Form Application Form

 EU Grant Calculation EU Grant Calculation

 Financial & Economic Indicators Financial & Economic Indicators

22 Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment

Objectives ofObjectives of CBACBA

•• ToTo ensureensure thatthat thethe optimaloptimal optionoption isis selectedselected ((economical economical  analysis analysis))

•• thetheprojectproject meetsmeetsaa realreal demanddemand

•• optimumoptimumuseuse isis mademade of of scarcescarceresourcesresources

•• thetheprojectproject isis designeddesignedinin aa costcosteffectiveeffectivemannermanner

•• thetheprojectproject willwill bebe sustainablesustainableoverovertimetime

•• ToTo determinedetermine thethe fundingfunding gapgap of  of thethe selectedselected optionoption andand toto

calculatecalculate thethe eligibleeligible expenditureexpenditure (( financial  financial analysis analysis))

•• accordingaccordingtoto articlearticle 5555((22)) of of regulationregulation10831083/  /20062006

•• ToTo assessassess thethe robustnessrobustness of of thethe selectedselected projectproject optionoption (( risk risk

 analysis analysis))

•• ToTo identifyidentify thethe risksrisks atat anan earlyearly stagestage withwith aa viewview toto taketake mmitigationitigation

measuresmeasures

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Context: CBAContext: CBA –– Part of ProjectPart of Project PreparationPreparation

Project SelectionProject Selection

Project IdentificationProject Identification

Project FeasibilityProject Feasibility

Project AppraisalProject Appraisal

44 Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment

CBACBA –– Part of the ProjectPart of the Project FeasibilityFeasibility

DemandDemand

ForecastingForecasting

EnvironmentalEnvironmental

Impact AnalysisImpact Analysis

Define the Gap:Define the Gap:

Project ObjectiveProject Objective

InstitutionalInstitutional

AnalysisAnalysis

Select theSelect the

Preferred OptionPreferred Option

SustainabilitySustainability

AnalysisAnalysis

Financial and EconomicFinancial and Economic

Cost B enefit AnalysisCost B enefit Analysis

CBA ReportCBA Report

AssessAssess

Current FacilitiesCurrent Facilities

Define theDefine the

(technical) Options(technical) Options

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Demand AnalysisDemand Analysis

Variables thatdetermine

effective demand

• The price customers have topay (price elasticity)

• Service levels that areprovided

• Alternatives for households

• Legal requirements

• Levels of income (incomeelasticity)

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DefineDefine OptionsOptions andand LeastLeast CostCost AnalysisAnalysis

FirstFirstensureensureoptimumoptimum useuse of of existingexistingfacilities!facilities!

ThenThen definedefine thethe gapgap betweenbetween demanddemand andand (potential)(potential) currentcurrent outputoutputof ofthethe facilitiesfacilities

DefineDefine technicaltechnicalandandnonnon--technicaltechnicaloptionsoptions (conceptual(conceptualdesigndesign level)level)

NormallyNormallybasedbasedonon alternativealternative wayswaystoto produceproducethethe samesameoutputoutput

TypeType of  of alternativesalternatives consideredconsidered (growth/do(growth/do nothing,nothing, one/severalone/severaltreatmenttreatment sites,sites, treatmenttreatment locations,locations, dischargedischarge locations,locations, treatmenttreatmenttechnologies)technologies)

FinancialFinancial assessmentassessment modemode forfor comparisoncomparison (Investment,(Investment, O&M,O&M, NPV)NPV)andand

EconomicEconomiccomparisoncomparison;;environmentalenvironmentalandandsocialsocialbenefitsbenefits77

 Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment

Financial and Economic AnalysisFinancial and Economic Analysis

•• BasedBased onon IncrementalIncremental DemandDemand andand PreferredPreferred TechnicalTechnical OptionOption

(Base(Base Case)Case)

•• PurposePurpose isis toto estimateestimate thethe netnet benefitsbenefits of of aa projectproject basedbased onon thethe

differencedifferencebetweenbetween thethe “with“with”” andand “without”“without” projectproject situationsituation

•• InIn financialfinancial pricesprices:: fromfromthethe entity’sentity’s pointpoint of of viewview

•• InIn economiceconomic pricesprices:: fromfromaa nations’nations’ pointpoint of of viewview

•• StepsSteps includeinclude

•• IdentifyIdentifythethe costscostsandand revenuesrevenuesof of aa projectproject

•• CalculateCalculate thethenetnet benefitsbenefits

•• CalculateCalculate thethe NetNet PresentPresent ValueValue(NPV)(NPV)oror InternalInternalRateRate of of ReturnReturn (IRR)(IRR)

•• CompareComparewithwith Financial/EconomicFinancial/Economic OpportunityOpportunityCostCostof of CapitalCapital

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Incremental ApproachIncremental Approach

•• SituationSituation withoutwithout ProjectProject ScenarioScenario

•• RealisticRealistichypotheticalhypotheticaldemanddemand

•• O&MO&Mcosts,costs,tariff tariff && revenuesrevenues

•• workingworkingcapitalcapital•• cashcash--flowflow

•• possiblepossible improvement,improvement,etcetc..•• SituationSituation withwith ProjectProject ScenarioScenario

•• ExpandedExpanded serviceservice andand enhancedenhanced performanceperformance duedue toto investmentinvestment andand

capacitycapacitybuilding,building,etcetc..

•• TabularTabular comparisoncomparison of of indicatorsindicators withwith && withoutwithoutprojectproject showingshowing “positive”“positive” oror “negative”“negative” impactimpact

•• demanddemand

•• O&MO&Mfixedfixed andand variablevariable costscosts

•• losseslosses

•• collectioncollectionratesratesetcetc..

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Assess Project SustainabilityAssess Project Sustainability

nsurensure thatthat projectproject benefitsbenefits willwill sustainsustain throughoutthroughout thethe

lifetimelifetime of of thethe projectproject•• AreAre thethe costscosts of of thethe servicesservices affordableaffordable forforthethe beneficiaries?beneficiaries?

•• IsIs thethe enterpriseenterprise ableable toto generategenerate sufficientsufficient revenuesrevenues toto covercover forfor

allall costscosts (including(including debtdebt servicingservicing)?)?

•• If If therethere areare subsidies,subsidies, cancan thethe governmentgovernment sustainsustain thesethese overover

time?time?

•• IsIs thethe entityentity ableable toto properlyproperly operateoperate andand maintainmaintain thethe projectproject

facilities?facilities?

•• AssessAssess institutionalinstitutional sustainabilitysustainability

•• AssessAssess environmentalenvironmental sustainabilitysustainability

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Institutional and Environmental AnalysisInstitutional and Environmental Analysis

Institutional AnalysisInstitutional Analysis

•• Is the project entityIs the project entity ableable to manage the project and to operateto manage the project and to operate

and maintain theand maintain the facilities?facilities?

•• Is the project entityIs the project entity willingwilling to take the necessary measures toto take the necessary measures to

ensure the succesful implementation of the project (e.g. tariffensure the succesful implementation of the project (e.g. tariff

increases, legal measuresincreases, legal measures)?)?

•• Does the project entity have theDoes the project entity have the necessary authoritynecessary authority toto

successfully complete the projectsuccessfully complete the project ??

EnvironmentalEnvironmental AssessmentAssessment

•• Assess the environmental impact and risks of the project andAssess the environmental impact and risks of the project and

propose possible mitigativepropose possible mitigative measuresmeasures

•• Ensure that potential problems are identified, early addressedEnsure that potential problems are identified, early addressed

and dealt with (e.g. MIMBY syndrome, Natura 2000)and dealt with (e.g. MIMBY syndrome, Natura 2000)1111

 Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment

Risk and Sensitivity AnalysisRisk and Sensitivity Analysis

•• DefineDefine howhow toto measuremeasure thethe successsuccess of of thethe projectproject (often(often byby takingtaking(E)NPV(E)NPVoror (E)IRR)(E)IRR)

•• SensitivitySensitivity analysisanalysis:: identif iesidentifies quantitativelyquantitatively thosethose keykey

parametersparameters withwith thethe greatestgreatest impactimpact onon thethe projectproject viabilityviability andand

resultsresults (must(must bebe quantitative)quantitative)

•• RiskRisk analysisanalysis:: estimatesestimates thethe probabilityprobability of of changeschanges inin keykey inputinput

variablesvariables andand theirtheir impactimpact onon thethe mainmain financialfinancial indicatorsindicators

(should(should ideallyideally bebe quantitative)quantitative)

•• CalculateCalculate whetherwhether oror notnot thethe projectproject remainsremains successfullsuccessfull underunder

adverseadverse conditions,conditions,and/orand/or

•• CalculateCalculate thethe “switching“switching value”value”

•• ProposePropose measuresmeasures toto mitigatemitigate thethe riskrisk..

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13131313

Affordability

1.1. PricePrice of of waterwater serviceservice:: perper mm33 (investment,(investment,

O&M)O&M)2.2. AffordabilityAffordability ((%%)):: (price(price xx volume)volume) /   / 

householdhousehold netnet incomeincome forfor thethe wholewhole countycountyandand prioritypriority municipalitiesmunicipalities

3.3. KeepKeep priceprice belowbelow 44%% of of thethe lowestlowest incomeincomedecilesdeciles

•• mitigationmitigation strategystrategy:: reducedreduced quantity,quantity,crosscross--subsidisation,subsidisation, governmentgovernment subsidy,subsidy,others)others)

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Investment PlanInvestment Plan

1.1. InvestmentInvestment byby typetype of  of investment,investment,agglomeration,agglomeration, andand phasephase includingincluding rere--

investmentinvestment [real[real andand nominalnominal terms]terms]

2.2. ForeignForeign andand locallocal costcost elementselements

3.3. OverallOverall O&MO&M costcost profileprofile (unit(unit costcost tables)tables)

4.4. NPVNPV (entire(entire systemsystem upup toto targettarget horizonhorizon of of 3030years)years)

 Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment

15151515

Key Issues of Application FormsKey Issues of Application Forms

1. Overall presentation (style, clarity)

2. Completeness of information and details

provided

3. Accuracy of financing calculation & financial& economic indicators

4. Sensitivity and risk documentation

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16 16 16 16 

Funding Gap CalculationFunding Gap Calculation

30 years30 years5 %5 %

based on total eli gible investmentbased on total eli gible investment

about 93about 93 –– 80 % of 3)80 % of 3)

about 25% of 5)about 25% of 5)

preferably but not necessarilypreferably but not necessarily

higher than O&M costhigher than O&M cost

about 70about 70–– 90 % of 7)90 % of 7)

calculated with two digits after the commacalculated with two digits after the comma

All costs calculated with twoAll costs calculated with two

digits after the commadigits after the comma

 Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment

Total Investment CostsTotal Investment Costs Eligible Investment Eligible Investment

Costs =EC Costs =EC 

Operating revenuesOperating revenues

 Residual value Residual value

ConstructionConstruction OperationOperation

Operating costsOperating costs

 Net Netrevenues revenues Net Net

 revenue revenue

 Eligible Expenditure Eligible Expenditure

OperatorOperator

 co co--

 finance finance

 Eligible Expenditure Calculation Eligible Expenditure Calculation

1717 Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment

Construction Operation

Calculation of Funding Gap

“R”EligibleInvestment

Costs =

EC

Operator

co-finance

DNR

DIC

DIC

DNR

DIC

DIC

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ConstructionConstruction OperationOperation

Calculation of EU GrantCalculation of EU Grant

DNRDNRDICDIC

DICDIC

EligibleEligible

(Investment)(Investment)

Costs (EC)Costs (EC)CRpaCRpa1)1)

Grant =Grant =

1)1) CRpaCRpa= Co= Co--Financing Rate per priority axisFinancing Rate per priority axis

85 % for CF (water); 80 % for ERDF (waste)85 % for CF (water); 80 % for ERDF (waste)

1919 Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment

Funding Gap ExampleFunding Gap Example

Questions: What is unusual about this example?

Is it possible to raise the funding gap to 100%?

1 30

2 5.0%

3 61,649,998

4 46,828,502

5 12,279,417

6 2,841,180

7 41,030,621

8 41,030,621

9 2,841,180

10 43,987,322

11 93.9%

Operating costs (in euro, discounted)

Net revenue (in euro, discounted) = (7) - (8) + (6)

Eligible expenditure [Art 55 (2)] (in euro, discounted) = (4) - (9)

Funding gap rate (%) = (10) / (4)

Total investment cost (in euro, discounted)

Residual value (in euro, not discounted)

Residual value (in euro, discounted)

Revenues (in euro, discounted)

Reference period (years)

Main Elements and Parameters

Financial discount rate (%) - real

Total investment cost (in euro, not discounted)

Value

Not discounted

Value

Discounted (NPV)

E.1.2 Main elements and parameters used for financial analysis

2020 Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment

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a e or oca u ge anno on r u e oa e or oca u ge anno on r u e o

NonNon--Funding GapFunding Gap

Item Initial Revised

Total Eligible Investmentfor Cluj-Salaj (€ million)

194.8 194.8

Funding gap (%) 83.1 88

ROC Contribution(€ million)

25.2(12.9%)

23.5(12.1%)

Grant (€ million) 137.5 145.6

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Financial Net Present Value (FNPV) Financial Net Present Value (FNPV) ::discounted value of project cashdiscounted value of project cash--flowsflows(costs and revenues) over time(costs and revenues) over time

Financial (Internal) Rate of Return (FRR) Financial (Internal) Rate of Return (FRR) ::discount rate for which the PV of projectdiscount rate for which the PV of projectrevenues equals the PV of investmentrevenues equals the PV of investmentcosts (FNPV=0)costs (FNPV=0)

Main Financial Indicators

 Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment

Financial Indicators in Application FormFinancial Indicators in Application Form

 / / C means: looking at the project as a wholeC means: looking at the project as a whole

 / K means: looking at the project from the / K means: looking at the project from the

perspective of the Member State (or the “nationalperspective of the Member State (or the “national

capital”, i.e. ignoring the EU grant)capital”, i.e. ignoring the EU grant)

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Recommended valuesRecommended values

FNPV/CFNPV/C:: mustmust bebe negativenegative forfor infrastructureinfrastructure

(i(i..ee.. nonnon statestate--aid)aid) projectsprojects FRR/CFRR/C:: mustmust bebe lessless thanthan discountdiscount raterate ((55%%

realreal discountdiscount raterate requestedrequested inin WDWD44))

FNPV/KFNPV/K:: mustmust bebe higherhigher thanthan FNPV/CFNPV/C (by(bydefinition)definition) butbut maymay stillstill bebe negativenegative

FRR/KFRR/K:: mustmust bebe higherhigher thanthan FRR/CFRR/C (by(by

definition)definition) butbut notnot excessiveexcessive (not(not higherhigherthanthan 66%%))

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ExampleExample

Questions: Would you accept an application form with these values?

Why / why not?

1 -4.6% (FRR/C) 31.9% (FRR/K)

2 -41,196,032 (FNPV/C) 3,787,558 (FNPV/K)

E.1.3 Main results of the financial analysis

Main Elements and ParametersWithout Community assistance

FRR/C

With Community assistance

FRR/K

Financial rate of return (%)

Net present value (euro)

2525 Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment

More ExamplesMore Examples

Which of the following public infrastructureWhich of the following public infrastructure

projects would you reject for EU support?projects would you reject for EU support?

1.1. FNPV =FNPV = -- €€20m, FRR/C =20m, FRR/C = --1.8%, FRR/K = 3.1%1.8%, FRR/K = 3.1%

2.2. FNPV =FNPV = -- €€15m, FRR/C = 2.5%, FRR/K = 5.2%15m, FRR/C = 2.5%, FRR/K = 5.2%

3.3. FNPV =FNPV = €€0.5 m, FRR/C = 5.2%, FRR/K = 15%0.5 m, FRR/C = 5.2%, FRR/K = 15%

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ObjectiveObjective:: TestTest whetherwhether aa projectproject yieldsyields aa greatergreaternetnet economiceconomic outputoutput thanthan otherother nextnext bestbestinvestmentinvestment opportunitiesopportunities inin thethe nationalnationaleconomyeconomy representedrepresented byby thethe socialsocial discountdiscount raterateCriteriaCriteria::Net Net Present Present Value Value :: discounteddiscounted valuevalue ofof economiceconomicnetnet benefitsbenefits isis positivepositive (ENPV>(ENPV>00))Economic Economic Internal Internal Rate Rate of  of Return  Return :: project’sproject’seconomiceconomic internalinternal raterate ofof returnreturn exceedsexceeds raterate ofofnextnext bestbest alternativealternative(EIRR(EIRR >> SocialSocial DiscountDiscount RateRate == 55..55%%)) ( (12 12% % - - 18 18% %)  ) 

Benefit / Cost ratio:Benefit / Cost ratio: economic benefits to costseconomic benefits to costsratio of the project is clearly above oneratio of the project is clearly above one (B/C>1)(B/C>1)(1.2(1.2 – – 1.8) 1.8) 

Objective and Criteria of Economic Analysis

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EC Guide to CBA of investment project, 2002EC Guide to CBA of investment project, 2002

Approach of Economic Analysis

Phase 1: correct taxes,subsidies, and other

transfers;

Phase 2: addexternalities;

Phase 3: conversion ofmarket prices intoaccounting prices.

Document the net economicoutput of the project by

adjusting its financial netvalue to (i) add the cost andbenefit of social externalities

and (ii) correct to “accountingvalues” market prices

distorted by taxes, socialtransfer and subsidies

 Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment Managing Authority for SOP Environment

Which of the following public infrastructure projectsWhich of the following public infrastructure projectswould you accept for EU support?would you accept for EU support?

A.A. FNPV =FNPV = -- €€20m, FRR/C =20m, FRR/C = --3.5%, FRR/K = 3.1%,3.5%, FRR/K = 3.1%,ENPV =ENPV = -- €€0.5m, ERR = 5.0%0.5m, ERR = 5.0%

B.B. FNPV =FNPV = -- €€14m, FRR/C =14m, FRR/C = --1.9%, FRR/K = 5.2%,1.9%, FRR/K = 5.2%,

ENPV =ENPV = €€18m, ERR = 7.5%18m, ERR = 7.5%

C.C. FNPV =FNPV = €€0.5m, FRR/C = 5.5%, FRR/K = 15%,0.5m, FRR/C = 5.5%, FRR/K = 15%,ENPV =ENPV = €€35m, ERR = 9.8%35m, ERR = 9.8%

More Examples

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Sensitivity Analysis Approach (WD4)Sensitivity Analysis Approach (WD4)

TestingTesting thethe impactimpact ofof aa 11%% changechange inininputinput parametersparameters onon keykey indicatorsindicators(FRR/C,(FRR/C, FNPV/C,FNPV/C, ERR,ERR, ENPV)ENPV)

MinimalMinimal scopescope ofof inputinput parametersparameters toto bebetestedtested:: investmentinvestment costs,costs, operatingoperatingcosts,costs, operatingoperating revenues,revenues, externalexternalprojectproject benefitsbenefits

ThoseThose thatthat leadlead toto aa moremore thanthan 55%%changechange areare consideredconsidered “critical“criticalvariables”variables”

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IdentificationIdentification ofof ““switchingswitching valuesvalues”,”,whichwhich areare thethe valuesvalues ofof thethe testedtested inputinputvariablesvariables thatthat wouldwould leadlead toto ananeconomiceconomic and/orand/or financialfinancial NPVNPV ofof 00

IntendedIntended toto provideprovide additionaladditionalinformationinformation toto clarifyclarify whatwhat inputinputvariablesvariables havehave thethe mostmost criticalcriticalinfluenceinfluence onon thethe project’sproject’s financialfinancialparametersparameters

Sensitivity Analysis Approach (WD4)

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Risk AnalysisRisk Analysis

ProvideProvide aa frameworkframework forfor contingencycontingencyallocationallocation

DetermineDetermine thethe probabilityprobability ofof individualindividualinputsinputs havinghaving givengiven valuesvalues

CalculateCalculate thethe probabilityprobability thatthat keykey outputsoutputs

willwill havehave givengiven valuesvaluesLinkLink thisthis calculationcalculation toto thethe calculationcalculation ofofthethe grantgrant

ListList allall thethe keykey variablesvariables andand assumptionsassumptions

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3333

Thank you for your kind attention! Thank you for your kind attention! 

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