PRINCIPLES OF FINANCIAL APPRAISAL

Similar documents
Project Appraisal and Selection

PROJECT CRITERIA: ECONOMIC VIABILITY AND PROJECT ALTERNATIVES

Session 2.2 Project Alternatives, Least Cost and Cost Effectiveness Analyses

Session 1.2 Discounting and Project Alternatives. Introductory Course on Economic Analysis of Investment Projects

Global Financial Management

Chapter 7. Net Present Value and Other Investment Rules

Chapter 10 The Basics of Capital Budgeting: Evaluating Cash Flows ANSWERS TO SELECTED END-OF-CHAPTER QUESTIONS

Project Economic and Financial Appraisal & Risk Analysis: A focus on GCF Funding Proposal

CA. Sonali Jagath Prasad ACA, ACMA, CGMA, B.Com.

LO 1: Cash Flow. Cash Payback Technique. Equal Annual Cash Flows: Cost of Capital Investment / Net Annual Cash Flow = Cash Payback Period

Investment Decision Criteria. Principles Applied in This Chapter. Learning Objectives

Investment Analysis and Project Assessment

Chapter 7: Investment Decision Rules

Net Present Value Q: Suppose we can invest $50 today & receive $60 later today. What is our increase in value? Net Present Value Suppose we can invest

Capital Budgeting CFA Exam Level-I Corporate Finance Module Dr. Bulent Aybar

Lecture 6 Capital Budgeting Decision

CHAPTER 2 LITERATURE REVIEW

CMA Part 2. Financial Decision Making

Investment Decision Criteria. Principles Applied in This Chapter. Disney s Capital Budgeting Decision

Capital investment decisions: 1

The Capital Expenditure Decision

WEEK 7 Investment Appraisal -1

Cost Benefit Analysis (CBA) Economic Analysis (EA)

Capital Budgeting Process and Techniques 93. Chapter 7: Capital Budgeting Process and Techniques

WHAT IS CAPITAL BUDGETING?

2. Basic Concepts In Project Appraisal [DoF Ch. 4; FP Ch. 3, 4, 5]

Chapter 7: Investment Decision Rules

ECONOMIC TOOLS FOR EVALUATING FISH BUSINESS. S.K.Pandey and Shyam.S.Salim

Chapter 9 Net Present Value and Other Investment Criteria. Net Present Value (NPV) Net Present Value (NPV) Konan Chan. Financial Management, Fall 2018

Chapter 6 Making Capital Investment Decisions

The nature of investment decision

University 18 Lessons Financial Management. Unit 2: Capital Budgeting Decisions

INVESTMENT CRITERIA. Net Present Value (NPV)

Chapter 11: Capital Budgeting: Decision Criteria

Session 02. Investment Decisions

Performance Pillar. P1 Performance Operations. 24 November 2010 Wednesday Morning Session

Chapter 6 Capital Budgeting

Principles of Managerial Finance Solution Lawrence J. Gitman CHAPTER 10. Risk and Refinements In Capital Budgeting

Chapter 9. Capital Budgeting Decision Models

Review of Financial Analysis Terms

Investment Appraisal

2, , , , ,220.21

FINANCIAL MANAGEMENT ( PART-2 ) NET PRESENT VALUE

Describe the importance of capital investments and the capital budgeting process

CAPITAL BUDGETING AND THE INVESTMENT DECISION

6 Calculating the Net Benefits to the Referent Group

MBF1223 Financial Management Prepared by Dr Khairul Anuar

Financial Management Masters of Business Administration Study Notes & Tutorial Questions Chapter 3: Investment Decisions

5. Risk in capital budgeting implies that the decision maker knows of the cash flows. A. Probability B. Variability C. Certainity D.

11. Large versus small decisions: long run

Time and Agricultural Production Processes

INVESTMENT APPRAISAL TECHNIQUES FOR SMALL AND MEDIUM SCALE ENTERPRISES

Engineering Economics and Financial Accounting

ACCA. Paper F9. Financial Management. December 2014 to June Interim Assessment Answers

The Basics of Capital Budgeting

Aswath Damodaran. Value Trade Off. Cash flow benefits - Tax benefits - Better project choices. What is the cost to the firm of hedging this risk?

MGT201 Lecture No. 11

Question: Insurance doesn t have much depreciation or inventory. What accounting methods affect return on book equity for insurance?

FARM MANAGEMENT CAPITAL INVESTMENT DECISIONS: METHODS OF ANALYSIS*

A Refresher on Engineering Economics

Corporate Finance, Module 4: Net Present Value vs Other Valuation Models

Lesson 7 and 8 THE TIME VALUE OF MONEY. ACTUALIZATION AND CAPITALIZATION. CAPITAL BUDGETING TECHNIQUES

CHAPTER 9 NET PRESENT VALUE AND OTHER INVESTMENT CRITERIA

Sensitivity = NPV / PV of key input

Copyright Disclaimer under Section 107 of the Copyright Act 1976, allowance is made for "fair use" for purposes such as criticism, comment, news

Chapter 14 Solutions Solution 14.1

Benefit-Cost Analysis: Introduction and Overview

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Financial Management Practices of New York Dairy Farms

BFC2140: Corporate Finance 1

6.1 CAPITAL PROJECTS 6.2 CAPITAL BUDGETING PROCESS 6.3 CAPITAL PROJECT ANALYSIS 6.4 BUSINESS EXPANSION STRATEGIES

DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO. Performance Pillar. P1 Performance Operations. 20 November 2013 Wednesday Morning Session

What s next? Chapter 7. Topic Overview. Net Present Value & Other Investment Criteria

COST-BENEFIT ANALYSIS Economics 437 / Economics 837 Spring 2014

7 Analyzing the Results 57

Topic 1 (Week 1): Capital Budgeting

Session 1, Monday, April 8 th (9:45-10:45)

Finance 303 Financial Management Review Notes for Final. Chapters 11&12

Feasibility study. Lecture 4. 7/15/2014 Dr. Joshua Onono

P1 Performance Operations

Distractor B: Candidate gets it wrong way round. Distractors C & D: Candidate only compares admin fee to cost without factor.

The May 2012 examination produced the highest pass rate so far achieved on the P1, Performance Operations paper within the Russian Diploma at 78%.

Chapter Five. Scale, Timing, Length, and Interdependencies in Project Selection

Introduction to Discounted Cash Flow

AFP Financial Planning & Analysis Learning System Session 1, Monday, April 3 rd (9:45-10:45) Time Value of Money and Capital Budgeting

Topic 2: Define Key Inputs and Input-to-Output Logic

Impairment of Assets IAS 36 IAS 36. IFRS Foundation

Paper P1 Performance Operations Post Exam Guide November 2012 Exam. General Comments

Capital Budgeting Decisions

Impairment of Assets. Contents. Accounting Standard (AS) 28 (issued 2002)

8: Economic Criteria

Web Extension: The ARR Method, the EAA Approach, and the Marginal WACC

OVERVIEW OF ECONOMIC ANALYSIS IN ADB OPERATIONS

Financial planning. Kirt C. Butler Department of Finance Broad College of Business Michigan State University February 3, 2015

FI3300 Corporate Finance

Corporate Finance: Introduction to Capital Budgeting

Performance Pillar. P1 Performance Operations. 25 May 2011 Wednesday Morning Session

F3 Financial Strategy

1 INVESTMENT DECISIONS,

Tools and Techniques for Economic/Financial Analysis of Projects

Transcription:

LOWER MEKONG PUBLIC POLICY INITIATIVE Technical Training in Project Appraisal for the Lower Mekong Basin PRINCIPLES OF FINANCIAL APPRAISAL Ho Chi Minh City Nov 28 - Dec 09, 2016

Financial Analysis: Basic Principles Appraisal done in a sequence: Financial, Economic, Stakeholder (social), Risk analyses Cash flow approach to project / program appraisal: any sales (receipts) creates is cash inflow, any purchase (payment) cash outflow Starting point for project appraisal is construction of cash flows over the project life cycle whether: New investments Replacements, expansions, mergers -- use of existing assets or resources Issue of opportunity cost in case of existing resources Cash flows from different perspectives

Construction of the Cash Flow Statement for a Project/Program Investment projects can be simple or complex, programs are generally complex Simple investment: single capital purchase (asset) with a simple benefit stream such as Purchase farmland and rent to tenant farmers Purchase motor vehicle to operate as a taxi Complex investment: most public sector projects Agricultural processing plant, fertilizer factory, hydro power plant, public utility, rural development program Investment and operating phases over many years with multiple revenue and expenditure items Requires detailed investment and operating plans

(+) Complex investment: Cash Flow Profile of Project Benefits Less Costs 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Initial Investment Period Operating Stage Year of Project Life (-) 4

Components of project cash flows A. Investment Plan Construction phase that reconciles technical plans with financing plan and manpower availability B. Operating Plan Operating phase that reconciles market demand or sales with costs for operation of project C. Treatment of prices levels over project time horizon Cash flows capture complex pattern of all revenues and costs over life of project discounting future flows allows consolidation at a particular point of time for decision making Changes in real prices, inflation and exchange rate are relevant D. Cash flow vs. balance sheet and profit-loss account Data from profit-loss account and balance sheet often helpful in making cash flows 5

Key Variables in Cash Flow Statement a. Issue of the opportunity cost All resources used in a project should be charged as the project cost since public or private investor is forgoing value that could be earned in alternative uses concept of opportunity cost While most cash flows are actual flows of cash, some cost items don t show as cash. Where existing resources are used, opportunity cost or the forgone cash flows are charged as costs to the project for using these resources Existing land, building and machinery Time of owner-manager of business 6

Key Variables in Cash Flow Statement (2) b. Interest During Construction Opportunity cost of investment funds when construction extends over more than one period Is it an investment cost? It increases cost of investment but it is accounted for as a cash outflow when it is paid. c. Depreciation expense Not a cash flow item as it is not paid. So how is depreciation accounted for? Use of depreciation expense in cash flow profile: To estimate taxes (tax depreciation) To estimate residual values of assets when the project is terminated (economic depreciation) 7

Measuring Investment Costs: What Is The Total Cost of a Three Year Investment? B t - C t t 0 t 1 t 2 t 3 Time 50 100 50 8

Compounding and Discounting We compound capital using the market interest rate as opportunity cost of funds e.g: $ 0 100 deposited now at 10% for one year, becomes $ 1 110 next year. Alternatively, we can discount the $ 1 110 received next year back to year 0 values by discounting with the discount factor of [1/(1+i) = 1/(1+0.10) = 0.909] Multiplying $ 1 110*[1/(1.10)] = $ 0 100. We have discounted the 110 of year one, to a present value of 100 in year 0. 9

What Is the Total Cost of a Three Year Investment? (Cont d) B t - C t t 0 t 1 t 2 t 3 50 100 50 15.5 Time 5 Opportunity Cost of Funds = 10% Investment Costs: a. Simple Sum = $200 b. At t 0 = 50/1.1 + 100/(1.1) 2 + 50/(1.1) 3 =45.45 + 82.64 + 37.57 =$165.66 c. At t 3 = 50 + 100(1.1) + 50(1.1) 2 = $220.50 Interest during construction is equal to $20.50 10

d. Cash Receipts Versus Sales Sales for Period + Accounts Receivable for Beginning of Period - Accounts Receivable for End of Period Cash Receipts for Period (Inflow) For Example: Sales 1 = 10,000 Accounts Receivable 0 = 5,000 Accounts Receivable 1 = 8,000 Receipts = 10,000+(5,000-8,000) = 7,000 11

e. Cash Expenditures Versus Purchases Purchases for Period + Accounts Payable at Beginning of Period - Accounts Payable at End of Period = Cash Expenditures for Period (Outflow) For Example: Purchases 1 = 11,000 Accounts Payable 0 = 6,000 Accounts Payable 1 = 4,000 Expenditures = 11,000+(6,000-4,000) = 13,000 12

f. Cash Held to Carry Out Transactions Cash held to carry out transactions is a use of cash Increases in cash holdings is a cash outflow Decreases in cash holdings is a cash inflow For Example: Desired stock of cash = 20% of sales Year 0 1 2 3 4 Sales 2000 2500 3200 5000 0 Desired Cash 400 500 640 1000 0 Impact on Net Cash Flow -400-100 -140-360 +1000 13

g. Accounting for Working Capital Working Capital= Cash + Accounts Receivables - Accounts Payables + Inventories + Prepaid Expenses - Accrued Liabilities No further calculation needed to determine cash flow impact of working capital except for cash Important to properly plan for adequate financing and accounting for working capital for survival of projects Often need for working capital understated in project proposals 14

VALUATION OF EXISTING ASSETS Seldom start with green field : usually some existing assets Need to determine opportunity cost of existing assets being employed in activity Opportunity cost of particular use of assets is highest value in alternative uses. It could be either in-use value by estimating present value of future cash flows or market value if sold in operating condition or liquidated and then sold. 15

Evaluation of Incremental Project Improvements t H A Continue Old Investment (without project) Now Benefit from Continuation of Old Project Historical Investment Opportunity Cost of Historical Investments t H B Old and New Investment Combined (With Project) Benefit from Old and New N New Investment Incremental Benefits Incremental B - A New Investment Cost (New + Loss in Output) t n 16

Land Costs Land cost to project is its opportunity cost as paid by project, either annual rental value or capital cost to project for time that it uses land Analysis needs to separate investment in land versus investment in project (one potential use of land) Need to treat land as a separate investment. Never include capital gains or losses on land as a benefit or cost to investment placed on land unless direct land improvement or development (for, example, new landscaping or utilities by property developer) or destruction caused by project (such as with some mining projects) Land can be held undeveloped as separate investment project from development or use of land 17

Alternative Ways of Including Cost of Land in Cash Flow of Project A. Preferred Method: Rental Charge Approach Levy implicit rental charge each period as a cost. For example, if the annual rental value is 8% of current market value then: Year 0 1 2 3 4 5 Land Rental -8-8 -8-8 -8 If anticipated real capital gains, then market rental rate (which will be lower to begin with) will increase overtime as real value of land increases. If this approach is used, then need to include value of land improvement or damage in final year of cash flow. B. Alternative Method: Capital Charge Approach: Assume no anticipated real capital gains and 100 is the initial purchase price of land. Year 0 5 Land Investment -100 +100 Final year benefit should be different than 100 only if land physically improved or damaged. 18

Determination of End Year Values Usually end of project appraisal period does not mean end of life of business Often the life of the project extends beyond our ability to forecast future The problem is solved if we estimate values for assets in final year of analysis of cash flows Use same estimation procedures just as for initial values of historical assets in-use value or market sale price 19

Analysis of Financial Profiles from Alternative Points of View Critical to evaluate financial outcome of project from the point of view of each interested party Conventional financial analysis considers: a. Point of view of owner or equity holder b. Point of view of all investors combined (Banker s point of view or total investment point of view) Other Perspectives Point of view of government budget Point of view of suppliers of inputs Point of view of downstream processors Point of view of competitors Point of view of economy as a whole 20

Cash Flows to Equity and Total Investment Cash flows to equity holders are important since equity holders are owners and bearers of the residual risk in the projects as such are the ultimate decision makers Cash flows are Net of interest charges and debt flows Net of taxes Cash flows to equity need to be discounted by the required rate of return of the equity holders reflecting the risks of the project Cash flows to total investment are before (or excluding) cash flows to debt holders. They represent the free cash flows out of which the combined financiers (debt and equity holders) have to be paid. Bankers (debt holders) analyze cash flows to check how well these flows will cover the debt service payments. 21

Analyses of Investment Decisions From Different Viewpoints Type of Analysis Financial Economic Stakeholder Basic Needs Viewpoint: (I) (II) (III) (IV) Banker (Total Investment) Yes No/Yes Yes No Owner Yes No/Yes Yes No Government Budget Office Yes No Yes No Country/economy No Yes Yes Yes 22

Analyses of Investment Decisions from Different Viewpoints Note: Exchange premium=10%;receipts & Equipment 100% tradeable; Tradeable Operating cost =100 Analysis Financial Economic Budget Banker s (Total Viewpoints: Investment) (A) Owner (B) Country (C) Govt. Budget (D) Year: 0 1 0 1 0 1 0 1 Receipts 400 400 440 40 Operating Cost -140-140 -150-10 Equipment -1000 950-1000 950-1100 1045-100 95 Operating Subsidy 50 50 0-50 Taxes -100-100 0 100 Loan 500-500 0 Interest -50 0 Environ. Externality -190 Opp. Cost of Land -30-30 -30-30 -30-30 Net Resource Flow -1030 1130-530 580-1130 1115-100 -175

Figure 1: Project Parameters Project Parameters, and Real Investment Table Inflation and Exchange Rate Projections Unit Cost of Production (End of Table 5) Production and Sales Working Capital Financial Analysis Tax and Economic Depreciation Schedule Loan Schedule (Cost of Good Sold) (Depreciation Expense) (Interest Expense) Income Tax Statement (Taxes) Total Investment Cash Flow (Nominal) Total Investment Cash Flow (Real) Debt Service Capacity (Loan) Equity Holder s Cash Flow (Nominal) (Loan) Equity Holder s Cash Flow (Real) 24

Step One: Figure 2: a. Economic Opportunity Cost of Capital b. Foreign Exchange Premium Step Two: a. Project Output(s) b. Project Inputs, including Investments Operating Expenses Labor c. Working Capital d. Taxes, Tariffs, Subsidies, and Loans Economic Analysis National Economic Parameters: + Economic Conversion Factors for: (Applied to Real Financial Cash Flow Statement) Statement of Economic Costs and Benefits 25

Figure 3: Distribution Analysis A. Economic Real Net Resource Flow - (Minus) B. Financial Real Net Resource Flow (Yields) C. Net Resource Flow of Externalities D. Present Value E. Allocation of Externalities 26

Figure 3: Distribution Analysis (Continued) F. Summary of Distribution Project s Net Benefits G. Reconciliation of Economic and Financial Analyses: Economic NPV = Financial NPV + sum(pv Externalities) 27

Figure 4: Risk Analysis A. Sensitivity Analysis B. Risk Variables C. Results 28

Alternative Investment Criteria Net Present Value Internal Rate of Return Cost-Benefit Ratio Pay-Back Period Cost-effectiveness 29

Alternative Investment Criteria Basic Concepts: A. Discounting Recognizes time value of money a. Funds when invested yield a return b. Future consumption worth less than present consumption NPV o= (B o -C o )/(1+r) o +(B 1 -C 1 )/(1+r) 1 +..+(B n -C n )/(1+r) n r B. Cumulative Values The calendar year to which all projects are discounted to is important All mutually exclusive projects need to be compared as of same calendar year 1 r If NPV = (B o -C o )(1+r) 1 +(B 1 -C 1 ) +..+..+(B n -C n )/(1+r) n-1 and 3 r NPV = (B o -C o )(1+r) 3 +(B 1 -C 1 )(1+r) 2 +(B 2 -C 2 )(1+r)+(B 3 -C 3 )+...(B n -C n )/(1+r) n-3 3 r Then NPV = (1+r) 2 NPV 1 r 30

Alternative Investment Criteria: Basic Concepts (Cont d) C. Variable Discount Rates Adjustment of Cost of Funds Through Time r 0 r 1 r 2 r 3 r 4 r 5 r * 4 r * 3 r * 2 r * 1 r * 0 0 1 2 3 4 5 If funds currently are abnormally scarce Normal or historical average cost of funds If funds currently are abnormally abundant Years from present period For variable discount rates r 1, r 2, & r 3 in years 1, 2, and 3, the discount factors are, respectively, as follows: 1/(1+r 1 ), 1/[(1+r 1 )(1+r 2 )] & 1/[(1+r 1 )(1+r 2 )(1+r 3 )] 31

Alternative Investment Criteria First Criterion: Net Present Value (NPV) What does net present value mean? Measures change in wealth or net worth or value of equity: NPV > 0 means increase in value of firm Basic aim of increasing shareholder value Used as a decision criterion to answer following: a. When to reject projects? b. When you have a budget constraint? c. When you need to compare mutually exclusive projects? 32

Net Present Value Criterion a. When to Reject Projects? Rule: Do not accept any project unless it generates a positive net present value when discounted by the opportunity cost of funds Examples: Project A: Present Value Costs $1 million, NPV + $70,000 Project B: Present Value Costs $5 million, NPV - $50,000 Project C: Present Value Costs $2 million, NPV + $100,000 Project D: Present Value Costs $3 million, NPV - $25,000 Result: Only projects A and C are acceptable. The investor or the country is made worse off if projects B and D are undertaken. 33

Net Present Value Criterion (Cont d) b. When there is a Budget Constraint? Rule: Within the limit of a fixed budget, choose that subset of the available projects which maximizes net present value Example: If budget constraint is $4 million and 4 projects with positive NPV: Project E: Costs $1 million, NPV + $60,000 Project F: Costs $3 million, NPV + $400,000 Project G: Costs $2 million, NPV + $150,000 Project H: Costs $2 million, NPV + $225,000 Result: Combinations FG and FH are impossible, as they cost too much. EG and EH are within the budget, but are dominated by the combination EF, which has a total NPV of $460,000. GH is also possible, but its NPV of $375,000 is not as high as EF. What to do if project E has NPV of - $60,000? 34

c. When You Need to Compare Mutually Exclusive Projects? Rule: In a situation where there is no budget constraint but a project must be chosen from mutually exclusive alternatives, we should always choose the alternative that generates the largest net present value Example: Assume that we must make a choice between the following three mutually exclusive projects: Project I: PV costs $1.0 million, NPV $300,000 Project J: PV costs $4.0 million, NPV $700,000 Projects K: PV costs $1.5 million, NPV $600,000 Result: Net Present Value Criterion (Cont d) Projects J should be chosen because it has the largest NPV. 35

Alternative Investment Criteria Second Criterion: Internal Rate of Return (IRR) IRR is the discount rate (K) at which the present value of benefits are just equal to the present value of costs for the particular project t i=0 B t - C t (1 + K) t = 0 Note: the IRR is a mathematical concept, not an economic or financial criterion Common uses of IRR: (a). If the IRR is larger than the cost of funds then the project should be undertaken (b). Often the IRR is used to rank mutually exclusive projects. The highest IRR project should be chosen An advantage of the IRR is that it only uses information from the project 36

NPV Criterion: IRR > discount rate NPV 0 0 r 0 Discount rate, r K = IRR 37

Difficulties With The Internal Rate of Return Criterion It is often difficult to correctly rank projects using IRR criterion, specially in the following situations: The project may has multiple IRRs With projects of different sizes and also strict alternatives: higher IRR but lower NPV is possible Projects of different lengths of life and strict alternatives: again higher IRR but lower NPV possible Same project but started at different times IRR can be used to compare investments when they have the same: Scale/size; Timing; and Length

Alternative Investment Criteria Third Criterion: Benefit-Cost Ratio Benefit-Cost Ratio (R) = Present Value Benefits/Present Value Costs Basic rule: If benefit-cost ratio (R) >1, then the project should be undertaken. Problems? Sometimes it is not possible to rank projects with the Benefit-Cost Ratio Mutually exclusive projects of different sizes Not necessarily true that R A >R B that project A is better 39

Alternative Investment Criteria Fourth Criterion: Pay-Out or Pay-Back Period The number of years before the benefits (discounted) are sufficient to repay the cumulative costs (discounted) Project with shortest payback period is preferred by this criteria Can reject high NPV projects with delayed pay-out; commonly used in unstable economic environments; useful in determining length of lease or contract periods in private participation Comparison of Two Projects With Differing Lives Using Pay-Out Period Bt - Ct B a B b t a C a = C b Payout period for project a tb Payout period for project b 40

Cost Effectiveness Approach An appraisal and program monitoring technique used primarily in social sector programs/ projects (health, nutrition, education) where identification and quantification of benefits in money terms is not straightforward but, at the same time, the desirability of the activity is not in question. The objective is to compare costs per unit of outcome of two or more programs for purposes of capital budgeting. This approach also very useful where aim is to choose from a set of alternative technologies/approaches that will provide the same service; e.g. two school systems that impart the same education benefits (centralized schools that require bus transportation and more expensive smaller schools to which students can walk), two systems of electricity generation (thermal versus hydro), two types of court systems with same disposal of cases (more court rooms at the headquarters or mobile courts) etc. Analysis considers only the costs of two or more alternatives treating benefits as identical. The selection criterion is choose the alternative that has the lowest present value of costs (PVC).

EXAMPLE 1 COST OF HEALTH PROJECT: IMMUNIZATION AGAINST DPT-BCG (All figures in ' 000 of US$) Discount rate: 8% Year 2000 2001 2002 2003 2004 2005 Premature Deaths Prevented - 8,000 12,000 18,000 25,000 30,000 Capital Costs Facilities 2,500 Equipments 8,500 Vechicles 5,000 Training 2,000 Technical Assistance 6,000 Recurrent Costs Personnel 10,000 16,000 25,000 36,000 42,500 Supplies 15,000 24,000 37,500 55,000 64,000 Training 500 800 1,250 1,800 2,100 Maintanance 2,000 3,200 4,500 7,200 8,000 Others 3,300 5,500 8,200 12,000 14,500 Total Costs 24,000 30,800 49,500 76,450 112,000 131,100 Discount Rate Present value of Total Benefits 8.0% 70,778 [Premature Deaths Prevented] Present Value of Total Costs 8.0% 327,193 Cost per unit of Premature Deaths Prevented 4.62 $/Death Prevented

Discount rate: 8% EXAMPLE 2 COST OF HEALTH PROJECT: AIDS PROGRAM (All figures in ' 000 of US$) Year 2000 2001 2002 2003 2004 2005 Deaths Prevented - 500 750 1,000 1,400 1,750 Capital Costs Facilities 200 Equipments 1,000 Vechicles 300 Training 500 Technical Assistance 1,500 Recurrent Costs Personnel 2,000 2,500 4,000 5,000 6,000 Supplies 40,000 65,000 90,000 120,000 150,000 Training 100 100 100 100 100 Maintanance 250 300 450 600 800 Others 300 500 800 1,250 1,500 Total Costs 3,500 42,650 68,400 95,350 126,950 158,400 Discount Rate Present value of Total Benefits 8.0% 4,120 Present Value of Total Costs 8.0% 378,441 Cost per unit of Deaths Prevented 91.86 $/Death Prevented