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    Infrastructure Planning and

    ManagementInfrastructure Economics and Finance

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    Agenda

    Principles of Finance Infrastructure Economics

    Developing Financial Models forInfrastructure

    Introduction to Project Finance

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    Present Value

    Present value is the value today of moneytomorrow. It is denoted by the formula below,where C is the future cash flow, r is the discountrate and n is the number of years in the future

    when this cash flow will present itself

    PV = C / (1+r)n

    Selecting the discount rate is often a difficult taskand is determined by the riskiness of theinvestment

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    Net Present Value

    NPV = PV Required Investment

    NPV = C0 + Cn/(1+r)n

    Cash Outflow is negative

    Cash Inflow is positive

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    IRR, Risk and Opportunity Cost IRR is the Internal Rate of Return

    The rate of return where the NPV is zero

    The rate of return on an investment What is the risk free rate?

    Typically it is the bank interest rate

    Why cant I use the risk free rate always todiscount cash flows? The risk facing your project might be larger. You may

    be supporting an infeasible project

    So how do I decide what r to use? r represents the risk in the venture not the risk of

    the venture Use the same r you use for a venture of comparable

    risk use the Opportunity Cost of Capital

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    Discounted Cash Flows

    NPV = Ct / (1+r)t The time period t for which the NPV is zero is

    often called the break-even point

    The rates of return can vary over different timeperiods. If this is so, the above formula shouldbe broken down into a sequential stream of cashflows.

    Generally you should invest in a project whenthe NPV is positive or the IRR is greater than theopportunity cost of capital.

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    Perpetuities

    What are they?Cash-flows over an infinite time period

    What equation governs static perpetuity?PV = C/r

    What equation governs growingperpetuities?

    PV = C / (r-g), where g is the rate of growth

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    Annuities

    What are they?Cash-flows for a certain period of time

    Whats the present value of an annuity?

    PV = C [ 1/r 1/r(1+r)t ]

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    Funding

    2 major componentsDebt

    Equity

    Weighted Average Cost of Capital

    WACC = Kd (D/D+E) + Ke (E/D+E)

    D and E are the relative proportion of Debtand Equity respectively

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    Infrastructure Economics

    The concepts in the previous slides areoften used to evaluate the viability of aninfrastructure project or to compare

    infrastructure alternatives. This analysis is a key part of the project

    preparation and analysis process

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    Problem 1 Adapted fromInfrastructure Planning Handbook2007

    An agency obtains Rs, 2,00,00,000 in order to constructa project by borrowing five equal beginning-of-yearamounts. The project is then operated for 20 years. Atthe end of the first year of operation, the project iscredited with Rs, 50,00,000 of revenues and therevenues increase by Rs. 1,00,000 per year for eachyear of operation. Estimate the present worth of therevenues and costs, and the average net revenues (withthe effect of interest) over the twenty-five years ofconstruction and operation. Take 7 percent interest intoaccount for all calculations

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    Assumptions

    Costs are incurred at the beginning of theyear while revenues are realized at theend of the year

    Standard NPV formula is used to discountcash flows

    NPV = Ct / (1+r)t

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    580000014

    570000013

    560000012

    550000011

    540000010

    53000009

    52000008

    51000007

    50000006

    040000005

    040000004

    040000003

    040000002

    040000001

    RevenuesCostsYear

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    Rs.25,744,372.53Net Revenues

    Rs. 43,293,217.56Rs. 17,548,845.03NPV

    690000025

    680000024

    670000023

    660000022

    650000021

    640000020

    630000019

    620000018

    610000017

    600000016

    590000015

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    Problem 2 Adapted fromInfrastructure Planning Handbook2007

    1. A new pipeline is to be installed. Alternativesizes considered are 8, 12 and 16 diameter.For 8, the construction cost is Rs. 20,000 and

    the annual OMR including pumping cost is Rs.5,000. For 12 the costs are Rs. 25,000 and Rs.800 respectively and for 6 they are Rs. 40,000and Rs. 200. What is the most economic size ofpipeline if it is needed for 10 years and there isno salvage value at the end of that time? Theapplicable discount rate is 10%.

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    O tion 2 is the best o tion

    Rs.41,228.91

    Rs.29,915.65

    Rs.50,722.84Total NPV

    Rs.1,228.9140000$4,915.6525000

    Rs.30,722.8420000NPV

    11

    200800500010

    20080050009

    20080050008

    20080050007

    20080050006

    20080050005

    20080050004

    20080050003

    20080050002

    20040000800250005000200001

    VariableFixedVariableFixedVariableFixed

    Option 3 - 16"Option 2 - 12"Option 1 - 8"Year

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    Problem 3 Adapted from

    Infrastructure Planning Handbook2007 Projects A and B are to be compared in terms of the

    present worth of their net benefits. Project A requiresone year for construction and costs Rs. 1,00,000. Itinvolves an annual O&M cost of Rs. 10,000 per year of

    operation and provides benefits for five years afterconstruction. These benefits start from Rs. 20,000 andincrease by Rs. 20,000 annually. Project B requires twoyears for construction and costs Rs. 2,00,000. It involvesan annual O&M cost of Rs. 20,000 per year of operation

    and provides benefits for ten years after construction.These benefits start from Rs. 40,000 and increase byRs. 20,000 annually, capping out at Rs. 2,00,000. Allamounts are end-of-year values. Which project is better?

    Assume a discount rate of 10%

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    Rs. 300,006.05 Better ProjectRs. 68,312.64Overall NPV

    Rs.

    575,122.86

    Rs.

    101,563.09

    Rs.

    173,553.72

    Rs.

    193,683.42

    Rs.

    34,461.70

    Rs.

    90,909.09NPV

    2000002000012

    20000020000111800002000010

    160000200009

    140000200008

    120000200007

    10000020000100000100006

    800002000080000100005

    600002000060000100004

    400002000040000100003

    0010000020000100002

    00100000001000001

    RevenuesOMR CostConst CostRevenuesOMR CostConstCost

    Project BProject AYear

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    Problem 4 Adapted from

    Infrastructure Planning Handbook2007 A municipal agency is considering building an exhibition

    hall. Its feasibility will depend on whether the averagecost per visitor is reasonable. Investment cost includinginterest during construction is Rs 5,00,00,000;

    repayment is done by 5 percent bonds over a 20 yearoperating period. Annual OMR is Rs. 2,50,000. Annualvisitors are projected to be 500,000 the first year andincreasing by 50,000 per year. Perform an analysis todetermine the annual cost of the facility for each year

    over a twenty-year period of operation, the unadjustedcost per visitor for each year, and the levelized cost pervisitor over the operating period based on a discount rateof 5 percent

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    $53,115,552.68($3,115,552.59)($50,000,000.00)NPV6903982.152.941,450,000-250000($4,012,129.36)20

    6665913.83.041,400,000-250000($4,012,129.36)19

    6427845.453.161,350,000-250000($4,012,129.36)18

    6189777.13.281,300,000-250000($4,012,129.36)17

    5951708.753.411,250,000-250000($4,012,129.36)165713640.43.551,200,000-250000($4,012,129.36)15

    5475572.053.711,150,000-250000($4,012,129.36)14

    5237503.73.871,100,000-250000($4,012,129.36)13

    4999435.354.061,050,000-250000($4,012,129.36)12

    47613674.261,000,000-250000($4,012,129.36)114523298.654.49950,000-250000($4,012,129.36)10

    4285230.34.74900,000-250000($4,012,129.36)9

    4047161.955.01850,000-250000($4,012,129.36)8

    3809093.65.33800,000-250000($4,012,129.36)7

    3571025.255.68750,000-250000($4,012,129.36)63332956.96.09700,000-250000($4,012,129.36)5

    3094888.556.56650,000-250000($4,012,129.36)4

    2856820.27.10600,000-250000($4,012,129.36)3

    2618751.857.75550,000-250000($4,012,129.36)2

    2380683.58.52500,000-250000($4,012,129.36)1

    Levelized Cost Per

    YearCost Per Visitor per yearAnnual VisitorsOMRConst CostYear

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    Methodology

    Rs 5,00,00,000 is paid back over 20 years at 5%leading to an annuity payment of Rs.40,12,129.36 per year

    Cost per visitor per year is calculated such thatin every year the costs equal the revenues

    The levelized tariff is calculated such that the

    overall NPV of the project is 0 and comes to Rs.4.76 per person

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    Infrastructure Finance Models

    When preparing a detailed report and study of aninfrastructure project, the earlier economic analysismight not suffice.

    Detailed models have to be built that identify cash

    inflows and outflows over every year of the project, therates of interest and discount for each item etc

    A comprehensive NPV calculation can then beperformed to determine the feasibility of the project.

    Sensitivity analysis can be performed by changinginterest rates, loan payment schedules etc to see if theproject can be structured differently

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    Problem Adapted from

    Infrastructure Planning Handbook20071. A project for Water Supply was envisaged in city A. Constructioncosts totalled Rs. 33,250.94, to be paid back over 8 years starting

    one year after the start of the project, with the majority of thepayments backloaded. Operations costs were set at Rs 1058 inthe first year and were set to increase by 10% per year.Distribution costs were estimated at 20% of the total water tariff.The analysis estimated that of the total capacity of 5.98 billiongallons per year, 0.84 billion would be needed to meet theincremental demand in the first year and six additional yearswould be needed before the full capability of the scheme isrealized. There was expected to be a loss in efficiency of supply

    of 16%. Tariffs started at Rs. 1.88 and increased by Rs. 0.12every year, with an increase of 0.16 every third year. The netoperating income each year is used to meet the loan paymentdue, and if this is inadequate the water utilitys income from othersources could be utilized.

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    Cost Model

    5341.281261020075220.8114642006

    5100.32104222005

    ......

    3493.9233211993

    3333.2830191992

    3212.827441991

    3092.3224951990

    2931.6822681989

    2811.2206219882690.7218741987

    2363.7617041986

    1852.815491985

    1395.3614081984

    945.5212801983

    60011641982

    263.210581981

    Distribution CostsOMR & TreatmentYear

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    Revenue Model

    267065.325.025.982007

    261045.25.025.982006

    255025.085.025.982005

    ........

    174703.485.025.981993

    166663.325.025.981992

    160643.25.025.981991

    154623.085.025.981990

    146582.925.025.981989

    140562.85.025.981988

    134542.685.025.981987

    118192.524.695.581986

    92642.43.864.591985

    69772.283.063.65198447282.122.232.661983

    300021.51.781982

    13161.880.70.841981

    IncrementalAnnual Revenue

    Water Tariffper 1000 gal

    Incremental WaterSold (billion gal/yr)

    Incremental Prod.(billion gal/yr)Year

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    Overall Model

    87558755875520079420942094202006

    9980998099802005

    ......

    1065510655106551993

    1031410314103141992

    1010710107101071991

    9874987498741990

    9459945994591989

    5904260094-105210,235918319885617157518-134710,23588881987

    5160054084-248410,23577511986

    4713651509-437310,23558621985

    4287148933-606210,23541731984

    4290945499-2590509225021983

    438274292490333312361982

    4034440,349-50-51981

    Cash Flow

    Income fromother

    sourcesProject

    BalanceLoan

    RepaymentNet Operating

    IncomeYear

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    Project Finance

    A project Company or a Special PurposeVehicle is created to execute a projectProject Company makes limited guarantees

    Also known as non-recourse financingLenders have recourse only to the project

    vehicle and not to the parent companies

    Typically the asset being financed has alimited life

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    Project Finance

    Adapted from Project Finance Manual, January 2001

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    Public Finance

    Adapted from Project Finance Manual, January 2001

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    Corporate Finance

    Adapted from Project Finance Manual, January 2001

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    The evolution of project finance Is it a recent phenomenon?

    No it isn't! It has been around since medieval times. Became very popular in mining and oil

    exploration projects in the 70s

    Adopted by the power industry in the US in the80s

    PPPs in other sectors now use it extensively

    Volume of project financed projects is growingrapidly

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    Key Terms

    Loan Amount Total value of the loan Drawdown conditions

    Loan Pricing rate at which the loan is given

    Term of Loan duration over which the loanmust be repaid

    Debt Service Coverage Ratio (DSCR)

    (Earnings before Income Tax)/(Loan amount to berepaid)

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    Is Low DSCR good?

    For lenders?Yes. They get their money back quickly

    For borrowers?No. They have lesser returns on Equity since

    a lot of money is spent paying the loan

    Borrowers prefer to pay lesser over longerperiods

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    Why Project Finance?

    From the borrowers perspective

    Less risk as their other assets are not at stake

    Comparatively fewer covenants

    Large transaction costs in putting the deal together

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    The lenders perspective Pros

    More transparencyGreater project-based incentivesGuaranteed and high returns? But there are risks

    What criteria do lenders consider? Technological risks Strength of sponsors, financial credibilities?Government backing/ Guarantees, expropriation

    risks? Project economics Social and Environmental Risks? Equity invested by sponsorsAbsence of competition

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    Thank You