SlideShare a Scribd company logo
1 of 52
B.Tech Admission in IndiaB.Tech Admission in India
By:By:
admission.edhole.comadmission.edhole.com
1.040/1.4011.040/1.401
Project ManagementProject Management
Spring 2007Spring 2007
Project Financing & EvaluationProject Financing & Evaluation
Dr. SangHyun Lee
lsh@mit.edulsh@mit.edu
Department of Civil and Environmental EngineeringDepartment of Civil and Environmental Engineering
Massachusetts Institute of TechnologyMassachusetts Institute of Technology
admission.edhole.com
PreliminariesPreliminaries
 STELLAR access: to be announcedSTELLAR access: to be announced
 AS1 Survey due by tonight 12 pmAS1 Survey due by tonight 12 pm
 TP1 and AS2 are outTP1 and AS2 are out
admission.edhole.com
AS 2: Student PresentationAS 2: Student Presentation
 10 minute presentation followed by 5 minute discussion10 minute presentation followed by 5 minute discussion
 1 or 2 presentations from Feb. 20 to Mar. 191 or 2 presentations from Feb. 20 to Mar. 19
 TopicsTopics
 Your past project experience (strongly recommended if you have any)Your past project experience (strongly recommended if you have any)
 Size of project is not important!Size of project is not important!
 Project main figuresProject main figures
 Main managerial aspectsMain managerial aspects
 Project management practicesProject management practices
 Problems, strengths, weaknesses, risksProblems, strengths, weaknesses, risks
 Your learningYour learning
 Emerging construction technologies (e.g., 4D CAD, Virtual Reality, Sensing, …)Emerging construction technologies (e.g., 4D CAD, Virtual Reality, Sensing, …)
 Volunteers for next week?Volunteers for next week?
admission.edhole.com
PreliminariesPreliminaries
 STELLAR access: to be announcedSTELLAR access: to be announced
 AS1 Survey due by tonight 12 pmAS1 Survey due by tonight 12 pm
 TP1 and AS2 are outTP1 and AS2 are out
 Pictures will be taken before you leavePictures will be taken before you leave
 Who we areWho we are
 Don’t memorize course content. Understand it.Don’t memorize course content. Understand it.
admission.edhole.com
OutlineOutline
 Session Objective & ContextSession Objective & Context
 Project FinancingProject Financing
 OwnerOwner
 ProjectProject
 ContractorContractor
 Additional IssuesAdditional Issues
 Financial EvaluationFinancial Evaluation
 Time value of moneyTime value of money
 Present valuePresent value
 RatesRates
 Interest FormulasInterest Formulas
 NPVNPV
 IRR & payback periodIRR & payback period
 Missing factorsMissing factorsadmission.edhole.com
Session ObjectiveSession Objective
 The role of project financingThe role of project financing
 Mechanisms for project financingMechanisms for project financing
 Measures of project profitabilityMeasures of project profitability
admission.edhole.com
Project Management PhaseProject Management Phase
FEASIBILITY
DESIGN
PLANNING
CLOSEOUTDEVELOPMENT OPERATIONS
Financing & Evaluation
Risk
admission.edhole.com
Context: Feasibility PhasesContext: Feasibility Phases
 Project ConceptProject Concept
 Land Purchase & Sale ReviewLand Purchase & Sale Review
 Evaluation (scope, size, etc.)Evaluation (scope, size, etc.)
 Constraint surveyConstraint survey
 Site constraintsSite constraints
 Cost modelsCost models
 Site infrastructural issuesSite infrastructural issues
 Permit requirementsPermit requirements
 Summary ReportSummary Report
 Decision to proceedDecision to proceed
 Regulatory process (obtain permits, etc)Regulatory process (obtain permits, etc)
 Design PhaseDesign Phaseadmission.edhole.com
Lecture 2 - ReferencesLecture 2 - References
More details on:More details on:
 Hendrickson PM for Construction on-line textbookHendrickson PM for Construction on-line textbook
 Chapter 7Chapter 7
admission.edhole.com
OutlineOutline
 Session Objective & ContextSession Objective & Context
 Project FinancingProject Financing
 OwnerOwner
 ProjectProject
 ContractorContractor
 Additional IssuesAdditional Issues
 Financial EvaluationFinancial Evaluation
 Time value of moneyTime value of money
 Present valuePresent value
 RatesRates
 Interest FormulasInterest Formulas
 NPVNPV
 IRR & payback periodIRR & payback period
 Missing factorsMissing factorsadmission.edhole.com
Financing – Gross CashflowsFinancing – Gross Cashflows
($35,000,000)
($30,000,000)
($25,000,000)
($20,000,000)
($15,000,000)
($10,000,000)
($5,000,000)
$0
$5,000,000
$10,000,000
1 2 3 4 5 6 7 8 9 10 11
owner cum cashflow
contractor cum cashflow
years 1 2 3 4 5 6 7 8 9 10
OWNER
investment ($10,000,000) ($20,000,000)
operation incomes $2,000,000 $4,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000
owner cashflow $0 ($10,000,000) ($20,000,000) $2,000,000 $4,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000
owner cum cashflow $0 ($10,000,000) ($30,000,000) ($28,000,000) ($24,000,000) ($18,000,000) ($12,000,000) ($6,000,000) $0 $6,000,000
CONTRACTOR
costs ($4,000,000) ($7,000,000) ($14,000,000) $0 $0 $0 $0 $0 $0 $0
revenues $0 $10,000,000 $20,000,000 $0 $0 $0 $0 $0 $0 $0
contractor cashflow ($4,000,000) $3,000,000 $6,000,000 $0 $0 $0 $0 $0 $0 $0
contractor cum cashflow($4,000,000) ($1,000,000) $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000
Owner investment = contractor revenue
admission.edhole.com
Financing – Gross CashflowsFinancing – Gross Cashflows
($35,000,000)
($30,000,000)
($25,000,000)
($20,000,000)
($15,000,000)
($10,000,000)
($5,000,000)
$0
$5,000,000
$10,000,000
1 2 3 4 5 6 7 8 9 10 11
owner cum cashflow
contractor cum cashflow
years 1 2 3 4 5 6 7 8 9 10
OWNER
investment ($10,000,000) ($20,000,000)
operation incomes $2,000,000 $4,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000
owner cashflow $0 ($10,000,000) ($20,000,000) $2,000,000 $4,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000
owner cum cashflow $0 ($10,000,000) ($30,000,000) ($28,000,000) ($24,000,000) ($18,000,000) ($12,000,000) ($6,000,000) $0 $6,000,000
CONTRACTOR
costs ($4,000,000) ($7,000,000) ($14,000,000) $0 $0 $0 $0 $0 $0 $0
revenues $0 $10,000,000 $20,000,000 $0 $0 $0 $0 $0 $0 $0
contractor cashflow ($4,000,000) $3,000,000 $6,000,000 $0 $0 $0 $0 $0 $0 $0
contractor cum cashflow($4,000,000) ($1,000,000) $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000
Owner investment = contractor revenue
Design/Preliminary Construction
admission.edhole.com
Financing – Gross CashflowsFinancing – Gross Cashflows
($35,000,000)
($30,000,000)
($25,000,000)
($20,000,000)
($15,000,000)
($10,000,000)
($5,000,000)
$0
$5,000,000
$10,000,000
1 2 3 4 5 6 7 8 9 10 11
owner cum cashflow
contractor cum cashflow
years 1 2 3 4 5 6 7 8 9 10
OWNER
investment ($10,000,000) ($20,000,000)
operation incomes $2,000,000 $4,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000
owner cashflow $0 ($10,000,000) ($20,000,000) $2,000,000 $4,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000
owner cum cashflow $0 ($10,000,000) ($30,000,000) ($28,000,000) ($24,000,000) ($18,000,000) ($12,000,000) ($6,000,000) $0 $6,000,000
CONTRACTOR
costs ($4,000,000) ($7,000,000) ($14,000,000) $0 $0 $0 $0 $0 $0 $0
revenues $0 $10,000,000 $20,000,000 $0 $0 $0 $0 $0 $0 $0
contractor cashflow ($4,000,000) $3,000,000 $6,000,000 $0 $0 $0 $0 $0 $0 $0
contractor cum cashflow($4,000,000) ($1,000,000) $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000
Owner investment = contractor revenue
• Early expenditure
• Takes time to get revenue
Design/Preliminary Construction
admission.edhole.com
Project FinancingProject Financing
Aims to bridge this gap in the most beneficial way!Aims to bridge this gap in the most beneficial way!
admission.edhole.com
Critical Role of FinancingCritical Role of Financing
 Makes projects possibleMakes projects possible
 Has major impact onHas major impact on
 Riskiness of constructionRiskiness of construction
 ClaimsClaims
 Prices offered by contractors (e.g., high bid price for latePrices offered by contractors (e.g., high bid price for late
payment)payment)
 Difficulty of Financing is a major driver towards alternateDifficulty of Financing is a major driver towards alternate
delivery methods (e.g., Build-Operate-Transfer)delivery methods (e.g., Build-Operate-Transfer)
admission.edhole.com
How Does Owner Finance a Project?How Does Owner Finance a Project?
 PublicPublic
 PrivatePrivate
 ““Project” financingProject” financing
admission.edhole.com
OutlineOutline
 Session Objective & ContextSession Objective & Context
 Project FinancingProject Financing
 OwnerOwner
 ProjectProject
 ContractorContractor
 Additional IssuesAdditional Issues
 Financial EvaluationFinancial Evaluation
 Time value of moneyTime value of money
 Present valuePresent value
 RatesRates
 Interest FormulasInterest Formulas
 NPVNPV
 IRR & payback periodIRR & payback period
 Missing factorsMissing factorsadmission.edhole.com
Public FinancingPublic Financing
 Sources of fundsSources of funds
 General purpose or special-purpose bondsGeneral purpose or special-purpose bonds
 Tax revenuesTax revenues
 Capital grants subsidiesCapital grants subsidies
 International subsidized loansInternational subsidized loans
 Social benefits important justificationSocial benefits important justification
 Benefits to region, quality of life, unemployment relief, etc.Benefits to region, quality of life, unemployment relief, etc.
 Important consideration: exemption from taxesImportant consideration: exemption from taxes
 Public owners face restrictions (e.g. bonding caps)Public owners face restrictions (e.g. bonding caps)
 Major motivation for public/private partnershipsMajor motivation for public/private partnerships
 MARR (Minimum Attractive Rate of Return) much lower (e.g. 8-MARR (Minimum Attractive Rate of Return) much lower (e.g. 8-
10%), often standardized10%), often standardized
admission.edhole.com
Private FinancingPrivate Financing
 Major mechanismsMajor mechanisms
 EquityEquity
 Invest corporate equity and retained earningsInvest corporate equity and retained earnings
 Offering equity sharesOffering equity shares
 Stock Issuance (e.g. in capital markets)Stock Issuance (e.g. in capital markets)
 Must entice investors with sufficiently high rate of returnMust entice investors with sufficiently high rate of return
 May be too limited to support the full investmentMay be too limited to support the full investment
 May be strategically wrong (e.g., source of money, ownership)May be strategically wrong (e.g., source of money, ownership)
 DebtDebt
 Borrow moneyBorrow money
 BondsBonds
 Because higher costs and risks, require higher returnsBecause higher costs and risks, require higher returns
 MARR varies per firm, often high (e.g. 20%)MARR varies per firm, often high (e.g. 20%)
admission.edhole.com
Private FinancingPrivate Financing
 Major mechanismsMajor mechanisms
 EquityEquity
 Invest corporate equity and retained earningsInvest corporate equity and retained earnings
 Offering equity sharesOffering equity shares
 Stock Issuance (e.g. in capital markets)Stock Issuance (e.g. in capital markets)
 Must entice investors with sufficiently high rate of returnMust entice investors with sufficiently high rate of return
 May be too limited to support the full investmentMay be too limited to support the full investment
 May be strategically wrong (e.g., source of money, ownership)May be strategically wrong (e.g., source of money, ownership)
 DebtDebt
 Borrow moneyBorrow money
 BondsBonds
 Because higher costs and risks, require higher returnsBecause higher costs and risks, require higher returns
 MARR varies per firm, often high (e.g. 20%)MARR varies per firm, often high (e.g. 20%)
admission.edhole.com
Private Owners w/Collateral FacilityPrivate Owners w/Collateral Facility
Distinct Financing PeriodsDistinct Financing Periods
 Short-term construction loanShort-term construction loan
 Bridge DebtBridge Debt
 Risky (and hence expensive!)Risky (and hence expensive!)
 Borrowed so owner can pay for construction (cost)Borrowed so owner can pay for construction (cost)
 Long-term mortgageLong-term mortgage
 Senior DebtSenior Debt
 Typically facility is collateralTypically facility is collateral
 Pays for operations and Construction financing debtsPays for operations and Construction financing debts
 Typically much lower interestTypically much lower interest
 Loans often negotiated as a packageLoans often negotiated as a package
timeconstruction
w/o tangible
operation
w/ tangibleadmission.edhole.com
OutlineOutline
 Session Objective & ContextSession Objective & Context
 Project FinancingProject Financing
 OwnerOwner
 ProjectProject
 ContractorContractor
 Additional IssuesAdditional Issues
 Financial EvaluationFinancial Evaluation
 Time value of moneyTime value of money
 Present valuePresent value
 RatesRates
 Interest FormulasInterest Formulas
 NPVNPV
 IRR & payback periodIRR & payback period
 Missing factorsMissing factorsadmission.edhole.com
““Project” FinancingProject” Financing
 Investment is paid back from the project profit rather than theInvestment is paid back from the project profit rather than the
general assets or creditworthiness of the project ownersgeneral assets or creditworthiness of the project owners
 For larger projects due to fixed cost to establishFor larger projects due to fixed cost to establish
 Small projects not much benefitSmall projects not much benefit
 Investment in project through special purpose corporationsInvestment in project through special purpose corporations
 Often joint venture between several partiesOften joint venture between several parties
 Need capacity for independent operationNeed capacity for independent operation
 BenefitsBenefits
 Off balance sheet (liabilities do not belong to parent)Off balance sheet (liabilities do not belong to parent)
 Limits riskLimits risk
 External investors: reduced agency cost (direct investment in project)External investors: reduced agency cost (direct investment in project)
 DrawbackDrawback
 Tensions among stakeholdersTensions among stakeholders
admission.edhole.com
OutlineOutline
 Session Objective & ContextSession Objective & Context
 Project FinancingProject Financing
 OwnerOwner
 ProjectProject
 ContractorContractor
 Additional IssuesAdditional Issues
 Financial EvaluationFinancial Evaluation
 Time value of moneyTime value of money
 Present valuePresent value
 RatesRates
 Interest FormulasInterest Formulas
 NPVNPV
 IRR & payback periodIRR & payback period
 Missing factorsMissing factorsadmission.edhole.com
Contractor Financing IContractor Financing I
 Payment schedulePayment schedule
 Break out payments into componentsBreak out payments into components
 Advance paymentAdvance payment
 Periodic/monthly progress payment (itemized breakdown structure)Periodic/monthly progress payment (itemized breakdown structure)
 Milestone paymentsMilestone payments
 Often some compromise between contractor and ownerOften some compromise between contractor and owner
 Architect certifies progressArchitect certifies progress
 Agreed-upon payments
 retention on payments (usually, about 10%)retention on payments (usually, about 10%)
 Often must cover deficit during constructionOften must cover deficit during construction
 Can be many months before payment receivedCan be many months before payment received
admission.edhole.com
S-curve WorkS-curve Work
Man-hours
months
admission.edhole.com
S-curve CostS-curve Cost
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Working days
$K
0
10
20
30
40
50
60
70
80
90
100
Cumulativecosts$K
Daily cost
Cum. costs
admission.edhole.com
Expense & PaymentExpense & Payment
admission.edhole.com
Contractor Financing IIContractor Financing II
 Owner keeps an eye out forOwner keeps an eye out for
 Front-end loaded bids (discounting)Front-end loaded bids (discounting)
 Unbalanced bidsUnbalanced bids
Contractor Revenue Projection
0
20
40
60
80
100
120
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Month
Revenue
Contractor Revenue Projection
0
20
40
60
80
100
120
140
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Month
Revenue
admission.edhole.com
Contractor Financing IIContractor Financing II
 Owner keeps an eye out forOwner keeps an eye out for
 Front-end loaded bids (discounting)Front-end loaded bids (discounting)
 Unbalanced bidsUnbalanced bids
 Contractors frequently borrow fromContractors frequently borrow from
 Banks (Need to demonstrate low risk)Banks (Need to demonstrate low risk)
 Interaction with ownersInteraction with owners
 Some owners may assist in fundingSome owners may assist in funding
 Help secure lower-priced loan for contractorHelp secure lower-priced loan for contractor
 Sometimes assist owners in funding!Sometimes assist owners in funding!
 Big construction company, small municipalityBig construction company, small municipality
 BOTBOT
admission.edhole.com
 Agreed upon in contractAgreed upon in contract
 Often structure proposed by ownerOften structure proposed by owner
 Should be checked by owner (fair-cost estimate)Should be checked by owner (fair-cost estimate)
 Often based on “Masterformat” Cost Breakdown StructureOften based on “Masterformat” Cost Breakdown Structure
(Owner standard CBS)(Owner standard CBS)
 Certified by third party (Architect/engineer)Certified by third party (Architect/engineer)
Contractor Financing IIIContractor Financing III
admission.edhole.com
OutlineOutline
 Session Objective & ContextSession Objective & Context
 Project FinancingProject Financing
 OwnerOwner
 ProjectProject
 ContractorContractor
 Additional IssuesAdditional Issues
 Financial EvaluationFinancial Evaluation
 Time value of moneyTime value of money
 Present valuePresent value
 RatesRates
 Interest FormulasInterest Formulas
 NPVNPV
 IRR & payback periodIRR & payback period
 Missing factorsMissing factorsadmission.edhole.com
Latent CreditLatent Credit
 Many people forced to serve as lenders to owner dueMany people forced to serve as lenders to owner due
to delays in paymentsto delays in payments
 DesignersDesigners
 ContractorsContractors
 ConsultantsConsultants
 CMCM
 SuppliersSuppliers
 ImplicationsImplications
 Good in the short-termGood in the short-term
 Major concern on long run effectsMajor concern on long run effects
admission.edhole.com
Role of TaxesRole of Taxes
 Tax deductions forTax deductions for
 Depreciation -Depreciation - LinkLink
 the process of recognizing the using up of an asset throughthe process of recognizing the using up of an asset through
wear and obsolescence and of subtracting capital expenseswear and obsolescence and of subtracting capital expenses
from the revenues that the asset generates over time infrom the revenues that the asset generates over time in
computing taxable incomecomputing taxable income
 OthersOthers
admission.edhole.com
OutlineOutline
 Session Objective & ContextSession Objective & Context
 Project FinancingProject Financing
 Owner
 Project
 Contractor
 Additional Issues
 Financial EvaluationFinancial Evaluation
 Time value of moneyTime value of money
 Present valuePresent value
 RatesRates
 Interest FormulasInterest Formulas
 NPVNPV
 IRR & payback periodIRR & payback period
 Missing factorsMissing factorsadmission.edhole.com
Develop or Not DevelopDevelop or Not Develop
 Is any individual project worthwhile?Is any individual project worthwhile?
 Given a list of feasible projects, which one is the best?Given a list of feasible projects, which one is the best?
 How does each project rank compared to the others onHow does each project rank compared to the others on
the list?the list?
admission.edhole.com
Project Evaluation Example:Project Evaluation Example:
 Project AProject A
 Construction=3 yearsConstruction=3 years
 Cost = $1M/yearCost = $1M/year
 Sale Value=$4MSale Value=$4M
 Total Cost?Total Cost?
 Profit?Profit?
 Project BProject B
 Construction=6 yearsConstruction=6 years
 Cost=$1M/yearCost=$1M/year
 Sale Value=$8.5MSale Value=$8.5M
 Total Cost?Total Cost?
 Profit?Profit?
admission.edhole.com
Quantitative MethodQuantitative Method
 ProfitabilityProfitability
 Create value for the companyCreate value for the company
admission.edhole.com
ProfitProfit
TOTALTOTAL
EQUIVAL. $EQUIVAL. $
REVENUESREVENUES 5,500,000.005,500,000.00
COSTSCOSTS 4,600,000.004,600,000.00
Project managementProject management 400,000.00400,000.00
EngineeringEngineering 800,000.00800,000.00
Material & transportMaterial & transport 2,200,000.002,200,000.00
Construction/commissioningConstruction/commissioning 1,300,000.001,300,000.00
ContingenciesContingencies 200,000.00200,000.00
GROSS MARGINGROSS MARGIN 900,000.00900,000.00
Time factor?Time factor?admission.edhole.com
Quantitative MethodQuantitative Method
 ProfitabilityProfitability
 Create value for the companyCreate value for the company
 Opportunity CostOpportunity Cost
 Time Value of MoneyTime Value of Money
 A dollar today is worth more than a dollar tomorrowA dollar today is worth more than a dollar tomorrow
 Investment relative to best-case scenarioInvestment relative to best-case scenario
 E.g. Project A - 8% profit, Project B - 10% profitE.g. Project A - 8% profit, Project B - 10% profit
admission.edhole.com
Money Is Not EverythingMoney Is Not Everything
 Social BenefitsSocial Benefits
 HospitalHospital
 SchoolSchool
 Highway built into a remote villageHighway built into a remote village
 Intangible Benefits (E.g, operating and competitiveIntangible Benefits (E.g, operating and competitive
necessity)necessity)
 New warehouseNew warehouse
 New cafeteriaNew cafeteria
admission.edhole.com
OutlineOutline
 Session Objective & ContextSession Objective & Context
 Project FinancingProject Financing
 Owner
 Project
 Contractor
 Additional issues
 Financial EvaluationFinancial Evaluation
 Time value of moneyTime value of money
 Present valuePresent value
 RatesRates
 Interest FormulasInterest Formulas
 NPVNPV
 IRR & payback periodIRR & payback period
 Missing factorsMissing factorsadmission.edhole.com
Basic CompoundingBasic Compounding
 Suppose we invest $x in a bank offering interest rate iSuppose we invest $x in a bank offering interest rate i
 If interest is compounded annually, asset will be worthIf interest is compounded annually, asset will be worth
 $x(1+i) after 1 year$x(1+i) after 1 year
 $x(1+i)$x(1+i)22
after 2 yearsafter 2 years
 $x(1+i)$x(1+i)33
after 3 years ….after 3 years ….
 $x(1+i)$x(1+i)nn
after n yearsafter n years
$x
0 1 $x(1+i) 2 $x(1+i)22
n $x(1+i)nn
…
admission.edhole.com
Time Value of MoneyTime Value of Money
 If we assumeIf we assume
 That money can always be invested in the bank (or someThat money can always be invested in the bank (or some
other reliable source) now to gain a return with interest laterother reliable source) now to gain a return with interest later
 That as rational actors, we never make an investment whichThat as rational actors, we never make an investment which
we know to offer less money than we could get in the bankwe know to offer less money than we could get in the bank
 ThenThen
 Money in theMoney in the presentpresent can be thought as of “equal worth” tocan be thought as of “equal worth” to
a larger amount of money in the futurea larger amount of money in the future
 Money in theMoney in the futurefuture can be thought of as having an equalcan be thought of as having an equal
worth to a lesser “present value” of moneyworth to a lesser “present value” of money
admission.edhole.com
Equivalence of Present ValuesEquivalence of Present Values
 Given a source of reliable investments, we areGiven a source of reliable investments, we are
indifferent between any cash flows with theindifferent between any cash flows with the
same present value – they have “equal worth”same present value – they have “equal worth”
 This indifferences arises because we can convertThis indifferences arises because we can convert
one to the other with no extra expenseone to the other with no extra expense
admission.edhole.com
PreliminariesPreliminaries
 STELLAR access:STELLAR access:
http://stellar.mit.edu/S/course/1/sp07/1.040/http://stellar.mit.edu/S/course/1/sp07/1.040/
 Next Tuesday Recitation: Skyscraper Part INext Tuesday Recitation: Skyscraper Part I
 Please set up an appointment to discuss your AS2 ifPlease set up an appointment to discuss your AS2 if
you choose emerging technologies (MF preferred)you choose emerging technologies (MF preferred)
 Office: 1-174Office: 1-174
 TA (50%) for our classTA (50%) for our class
 Send your resume (or brief your experience) by this SundaySend your resume (or brief your experience) by this Sunday
admission.edhole.com
OutlineOutline
 Session Objective & ContextSession Objective & Context
 Project FinancingProject Financing
 Owner
 Project
 Contractor
 Additional issues
 Financial EvaluationFinancial Evaluation
 Time value of money
 Present valuePresent value
 RatesRates
 Interest FormulasInterest Formulas
 NPVNPV
 IRR & payback periodIRR & payback period
 Missing factorsMissing factorsadmission.edhole.com
Time Value of Money: RevisitTime Value of Money: Revisit
 If we assumeIf we assume
 That money can always be invested in the bank (or someThat money can always be invested in the bank (or some
other reliable source) now to gain a return with interest laterother reliable source) now to gain a return with interest later
 That as rational actors, we never make an investment whichThat as rational actors, we never make an investment which
we know to offer less money than we could get in the bankwe know to offer less money than we could get in the bank
 ThenThen
 Money in theMoney in the presentpresent can be thought as of “equal worth” tocan be thought as of “equal worth” to
a larger amount of money in the futurea larger amount of money in the future
 Money in theMoney in the futurefuture can be thought of as having an equalcan be thought of as having an equal
worth to a lesser “present value” of moneyworth to a lesser “present value” of money
admission.edhole.com
Present Value (Revenue)Present Value (Revenue)
 How is it that some future revenueHow is it that some future revenue rr at timeat time tt has a “presenthas a “present
value”?value”?
 Answer: Given that we are sure that we will be gaining revenueAnswer: Given that we are sure that we will be gaining revenue rr
at timeat time tt, we can take and spend an immediate loan from the, we can take and spend an immediate loan from the
bankbank
 We choose size of this loanWe choose size of this loan ll so that at timeso that at time tt, the total size of the loan, the total size of the loan
(including accrued interest) is(including accrued interest) is rr
 The loanThe loan ll is the present value ofis the present value of rr
 ll = PV(= PV(rr))
admission.edhole.com
Future to Present RevenueFuture to Present Revenue
x
t
-x
tPV(x)
0 I’ll pay this back to the bank later
I can borrow this from the bank now
tPV(x)
If I know this is coming…
The net result is that I can convert a sure x at time t
into a (smaller) PV(x) now!
admission.edhole.com
Present Value (Cost)Present Value (Cost)
 How is it that some future costHow is it that some future cost cc at timeat time tt has a “present value”?has a “present value”?
 Answer: Given that we areAnswer: Given that we are suresure that we will bear costthat we will bear cost cc at timeat time tt,,
we immediately deposit a sum of moneywe immediately deposit a sum of money xx into the bank yieldinginto the bank yielding
a known returna known return
 We choose size of depositWe choose size of deposit xx so that at timeso that at time tt, the total size of the, the total size of the
investment (including accrued interest) isinvestment (including accrued interest) is cc
 We can then pay offWe can then pay off cc at timeat time tt by retrieving this money from the bankby retrieving this money from the bank
 The size of the deposit (immediate cost)The size of the deposit (immediate cost) xx is theis the present valuepresent value ofof cc..
admission.edhole.com

More Related Content

Similar to B.tech admission in india

Tech City Launchpad Campaign Review v2.1
Tech City Launchpad Campaign Review v2.1Tech City Launchpad Campaign Review v2.1
Tech City Launchpad Campaign Review v2.1Huw_J
 
iNewtrition Financial Analysis for the Food Industry
iNewtrition Financial Analysis for the Food IndustryiNewtrition Financial Analysis for the Food Industry
iNewtrition Financial Analysis for the Food Industryinewtrition
 
Fundamental Skills for Real Estate Development Professionals I. Financial An...
Fundamental Skills for Real Estate Development Professionals I.  Financial An...Fundamental Skills for Real Estate Development Professionals I.  Financial An...
Fundamental Skills for Real Estate Development Professionals I. Financial An...Virtual ULI
 
Investment criteria modified npv,irr
Investment criteria modified npv,irrInvestment criteria modified npv,irr
Investment criteria modified npv,irrTanvi Gupta
 
Prospectus vcssgoc
Prospectus  vcssgocProspectus  vcssgoc
Prospectus vcssgocvinay verma
 
Capital Budgeting (TITTO SUNNY)
Capital Budgeting   (TITTO SUNNY)Capital Budgeting   (TITTO SUNNY)
Capital Budgeting (TITTO SUNNY)Traum Academy
 
Capital budgeting
Capital budgetingCapital budgeting
Capital budgetingankyta89
 
IEDC Real Estate Training Course Financial Feasibility - 2018
IEDC Real Estate Training Course Financial Feasibility - 2018IEDC Real Estate Training Course Financial Feasibility - 2018
IEDC Real Estate Training Course Financial Feasibility - 2018Economic Development Navigator
 
What is the business value of my project?
What is the business value of my project?What is the business value of my project?
What is the business value of my project?Joe Raynus
 
If you fail to plan, will your plan fail? Developing a financial plan for you...
If you fail to plan, will your plan fail? Developing a financial plan for you...If you fail to plan, will your plan fail? Developing a financial plan for you...
If you fail to plan, will your plan fail? Developing a financial plan for you...MaRS Discovery District
 
Financial Tools for Product Managers
Financial Tools for Product ManagersFinancial Tools for Product Managers
Financial Tools for Product ManagersSVPMA
 
Business Proposal PowerPoint Presentation Slides
Business Proposal PowerPoint Presentation SlidesBusiness Proposal PowerPoint Presentation Slides
Business Proposal PowerPoint Presentation SlidesSlideTeam
 
ON TIME | ON TARGET: Leasing for Army Transportation Battalion
ON TIME | ON TARGET: Leasing for Army Transportation BattalionON TIME | ON TARGET: Leasing for Army Transportation Battalion
ON TIME | ON TARGET: Leasing for Army Transportation BattalionCurt Cooper
 
Business Proposal Powerpoint Presentation Slides
Business Proposal Powerpoint Presentation SlidesBusiness Proposal Powerpoint Presentation Slides
Business Proposal Powerpoint Presentation SlidesSlideTeam
 
Future Ready Commercial Banking
Future Ready Commercial BankingFuture Ready Commercial Banking
Future Ready Commercial BankingBaker Hill
 
Capital Investment Decision or Capital Budgeting
Capital Investment Decision or Capital BudgetingCapital Investment Decision or Capital Budgeting
Capital Investment Decision or Capital Budgetingssuserb4bc81
 
present worth analysis.ppt
present worth analysis.pptpresent worth analysis.ppt
present worth analysis.pptashwinigupta38
 
Capital budgeting
Capital budgetingCapital budgeting
Capital budgetingKhalid Aziz
 

Similar to B.tech admission in india (20)

Tech City Launchpad Campaign Review v2.1
Tech City Launchpad Campaign Review v2.1Tech City Launchpad Campaign Review v2.1
Tech City Launchpad Campaign Review v2.1
 
iNewtrition Financial Analysis for the Food Industry
iNewtrition Financial Analysis for the Food IndustryiNewtrition Financial Analysis for the Food Industry
iNewtrition Financial Analysis for the Food Industry
 
Financial appraisal techniques
Financial appraisal techniquesFinancial appraisal techniques
Financial appraisal techniques
 
Fundamental Skills for Real Estate Development Professionals I. Financial An...
Fundamental Skills for Real Estate Development Professionals I.  Financial An...Fundamental Skills for Real Estate Development Professionals I.  Financial An...
Fundamental Skills for Real Estate Development Professionals I. Financial An...
 
Investment criteria modified npv,irr
Investment criteria modified npv,irrInvestment criteria modified npv,irr
Investment criteria modified npv,irr
 
Prospectus vcssgoc
Prospectus  vcssgocProspectus  vcssgoc
Prospectus vcssgoc
 
Capital Budgeting (TITTO SUNNY)
Capital Budgeting   (TITTO SUNNY)Capital Budgeting   (TITTO SUNNY)
Capital Budgeting (TITTO SUNNY)
 
Capital budgeting
Capital budgetingCapital budgeting
Capital budgeting
 
IEDC Real Estate Training Course Financial Feasibility - 2018
IEDC Real Estate Training Course Financial Feasibility - 2018IEDC Real Estate Training Course Financial Feasibility - 2018
IEDC Real Estate Training Course Financial Feasibility - 2018
 
What is the business value of my project?
What is the business value of my project?What is the business value of my project?
What is the business value of my project?
 
Capital budgeting
Capital budgetingCapital budgeting
Capital budgeting
 
If you fail to plan, will your plan fail? Developing a financial plan for you...
If you fail to plan, will your plan fail? Developing a financial plan for you...If you fail to plan, will your plan fail? Developing a financial plan for you...
If you fail to plan, will your plan fail? Developing a financial plan for you...
 
Financial Tools for Product Managers
Financial Tools for Product ManagersFinancial Tools for Product Managers
Financial Tools for Product Managers
 
Business Proposal PowerPoint Presentation Slides
Business Proposal PowerPoint Presentation SlidesBusiness Proposal PowerPoint Presentation Slides
Business Proposal PowerPoint Presentation Slides
 
ON TIME | ON TARGET: Leasing for Army Transportation Battalion
ON TIME | ON TARGET: Leasing for Army Transportation BattalionON TIME | ON TARGET: Leasing for Army Transportation Battalion
ON TIME | ON TARGET: Leasing for Army Transportation Battalion
 
Business Proposal Powerpoint Presentation Slides
Business Proposal Powerpoint Presentation SlidesBusiness Proposal Powerpoint Presentation Slides
Business Proposal Powerpoint Presentation Slides
 
Future Ready Commercial Banking
Future Ready Commercial BankingFuture Ready Commercial Banking
Future Ready Commercial Banking
 
Capital Investment Decision or Capital Budgeting
Capital Investment Decision or Capital BudgetingCapital Investment Decision or Capital Budgeting
Capital Investment Decision or Capital Budgeting
 
present worth analysis.ppt
present worth analysis.pptpresent worth analysis.ppt
present worth analysis.ppt
 
Capital budgeting
Capital budgetingCapital budgeting
Capital budgeting
 

More from Edhole.com

Chartered accountant in dwarka
Chartered accountant in dwarkaChartered accountant in dwarka
Chartered accountant in dwarkaEdhole.com
 
Ca firm in dwarka
Ca firm in dwarkaCa firm in dwarka
Ca firm in dwarkaEdhole.com
 
Website development company surat
Website development company suratWebsite development company surat
Website development company suratEdhole.com
 
Website designing company in surat
Website designing company in suratWebsite designing company in surat
Website designing company in suratEdhole.com
 
Website dsigning company in india
Website dsigning company in indiaWebsite dsigning company in india
Website dsigning company in indiaEdhole.com
 
Website designing company in delhi
Website designing company in delhiWebsite designing company in delhi
Website designing company in delhiEdhole.com
 
Chartered accountant in dwarka
Chartered accountant in dwarkaChartered accountant in dwarka
Chartered accountant in dwarkaEdhole.com
 
Ca firm in dwarka
Ca firm in dwarkaCa firm in dwarka
Ca firm in dwarkaEdhole.com
 
Website development company surat
Website development company suratWebsite development company surat
Website development company suratEdhole.com
 
Website designing company in surat
Website designing company in suratWebsite designing company in surat
Website designing company in suratEdhole.com
 
Website designing company in india
Website designing company in indiaWebsite designing company in india
Website designing company in indiaEdhole.com
 
Website designing company in delhi
Website designing company in delhiWebsite designing company in delhi
Website designing company in delhiEdhole.com
 
Website designing company in mumbai
Website designing company in mumbaiWebsite designing company in mumbai
Website designing company in mumbaiEdhole.com
 
Website development company surat
Website development company suratWebsite development company surat
Website development company suratEdhole.com
 
Website desinging company in surat
Website desinging company in suratWebsite desinging company in surat
Website desinging company in suratEdhole.com
 
Website designing company in india
Website designing company in indiaWebsite designing company in india
Website designing company in indiaEdhole.com
 

More from Edhole.com (20)

Ca in patna
Ca in patnaCa in patna
Ca in patna
 
Chartered accountant in dwarka
Chartered accountant in dwarkaChartered accountant in dwarka
Chartered accountant in dwarka
 
Ca in dwarka
Ca in dwarkaCa in dwarka
Ca in dwarka
 
Ca firm in dwarka
Ca firm in dwarkaCa firm in dwarka
Ca firm in dwarka
 
Website development company surat
Website development company suratWebsite development company surat
Website development company surat
 
Website designing company in surat
Website designing company in suratWebsite designing company in surat
Website designing company in surat
 
Website dsigning company in india
Website dsigning company in indiaWebsite dsigning company in india
Website dsigning company in india
 
Website designing company in delhi
Website designing company in delhiWebsite designing company in delhi
Website designing company in delhi
 
Ca in patna
Ca in patnaCa in patna
Ca in patna
 
Chartered accountant in dwarka
Chartered accountant in dwarkaChartered accountant in dwarka
Chartered accountant in dwarka
 
Ca firm in dwarka
Ca firm in dwarkaCa firm in dwarka
Ca firm in dwarka
 
Ca in dwarka
Ca in dwarkaCa in dwarka
Ca in dwarka
 
Website development company surat
Website development company suratWebsite development company surat
Website development company surat
 
Website designing company in surat
Website designing company in suratWebsite designing company in surat
Website designing company in surat
 
Website designing company in india
Website designing company in indiaWebsite designing company in india
Website designing company in india
 
Website designing company in delhi
Website designing company in delhiWebsite designing company in delhi
Website designing company in delhi
 
Website designing company in mumbai
Website designing company in mumbaiWebsite designing company in mumbai
Website designing company in mumbai
 
Website development company surat
Website development company suratWebsite development company surat
Website development company surat
 
Website desinging company in surat
Website desinging company in suratWebsite desinging company in surat
Website desinging company in surat
 
Website designing company in india
Website designing company in indiaWebsite designing company in india
Website designing company in india
 

Recently uploaded

Enzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdf
Enzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdfEnzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdf
Enzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdfSumit Tiwari
 
Presiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsPresiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsanshu789521
 
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTiammrhaywood
 
URLs and Routing in the Odoo 17 Website App
URLs and Routing in the Odoo 17 Website AppURLs and Routing in the Odoo 17 Website App
URLs and Routing in the Odoo 17 Website AppCeline George
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfsanyamsingh5019
 
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...M56BOOKSTORE PRODUCT/SERVICE
 
Introduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxIntroduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxpboyjonauth
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxheathfieldcps1
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...EduSkills OECD
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptxVS Mahajan Coaching Centre
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdfSoniaTolstoy
 
How to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxHow to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxmanuelaromero2013
 
_Math 4-Q4 Week 5.pptx Steps in Collecting Data
_Math 4-Q4 Week 5.pptx Steps in Collecting Data_Math 4-Q4 Week 5.pptx Steps in Collecting Data
_Math 4-Q4 Week 5.pptx Steps in Collecting DataJhengPantaleon
 
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Sapana Sha
 
Alper Gobel In Media Res Media Component
Alper Gobel In Media Res Media ComponentAlper Gobel In Media Res Media Component
Alper Gobel In Media Res Media ComponentInMediaRes1
 
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...Marc Dusseiller Dusjagr
 
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdfssuser54595a
 
MENTAL STATUS EXAMINATION format.docx
MENTAL     STATUS EXAMINATION format.docxMENTAL     STATUS EXAMINATION format.docx
MENTAL STATUS EXAMINATION format.docxPoojaSen20
 

Recently uploaded (20)

Enzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdf
Enzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdfEnzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdf
Enzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdf
 
Presiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsPresiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha elections
 
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
 
URLs and Routing in the Odoo 17 Website App
URLs and Routing in the Odoo 17 Website AppURLs and Routing in the Odoo 17 Website App
URLs and Routing in the Odoo 17 Website App
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdf
 
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
 
Introduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxIntroduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptx
 
Model Call Girl in Bikash Puri Delhi reach out to us at 🔝9953056974🔝
Model Call Girl in Bikash Puri  Delhi reach out to us at 🔝9953056974🔝Model Call Girl in Bikash Puri  Delhi reach out to us at 🔝9953056974🔝
Model Call Girl in Bikash Puri Delhi reach out to us at 🔝9953056974🔝
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptx
 
Staff of Color (SOC) Retention Efforts DDSD
Staff of Color (SOC) Retention Efforts DDSDStaff of Color (SOC) Retention Efforts DDSD
Staff of Color (SOC) Retention Efforts DDSD
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
 
How to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxHow to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptx
 
_Math 4-Q4 Week 5.pptx Steps in Collecting Data
_Math 4-Q4 Week 5.pptx Steps in Collecting Data_Math 4-Q4 Week 5.pptx Steps in Collecting Data
_Math 4-Q4 Week 5.pptx Steps in Collecting Data
 
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
 
Alper Gobel In Media Res Media Component
Alper Gobel In Media Res Media ComponentAlper Gobel In Media Res Media Component
Alper Gobel In Media Res Media Component
 
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
 
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
 
MENTAL STATUS EXAMINATION format.docx
MENTAL     STATUS EXAMINATION format.docxMENTAL     STATUS EXAMINATION format.docx
MENTAL STATUS EXAMINATION format.docx
 

B.tech admission in india

  • 1. B.Tech Admission in IndiaB.Tech Admission in India By:By: admission.edhole.comadmission.edhole.com
  • 2. 1.040/1.4011.040/1.401 Project ManagementProject Management Spring 2007Spring 2007 Project Financing & EvaluationProject Financing & Evaluation Dr. SangHyun Lee lsh@mit.edulsh@mit.edu Department of Civil and Environmental EngineeringDepartment of Civil and Environmental Engineering Massachusetts Institute of TechnologyMassachusetts Institute of Technology admission.edhole.com
  • 3. PreliminariesPreliminaries  STELLAR access: to be announcedSTELLAR access: to be announced  AS1 Survey due by tonight 12 pmAS1 Survey due by tonight 12 pm  TP1 and AS2 are outTP1 and AS2 are out admission.edhole.com
  • 4. AS 2: Student PresentationAS 2: Student Presentation  10 minute presentation followed by 5 minute discussion10 minute presentation followed by 5 minute discussion  1 or 2 presentations from Feb. 20 to Mar. 191 or 2 presentations from Feb. 20 to Mar. 19  TopicsTopics  Your past project experience (strongly recommended if you have any)Your past project experience (strongly recommended if you have any)  Size of project is not important!Size of project is not important!  Project main figuresProject main figures  Main managerial aspectsMain managerial aspects  Project management practicesProject management practices  Problems, strengths, weaknesses, risksProblems, strengths, weaknesses, risks  Your learningYour learning  Emerging construction technologies (e.g., 4D CAD, Virtual Reality, Sensing, …)Emerging construction technologies (e.g., 4D CAD, Virtual Reality, Sensing, …)  Volunteers for next week?Volunteers for next week? admission.edhole.com
  • 5. PreliminariesPreliminaries  STELLAR access: to be announcedSTELLAR access: to be announced  AS1 Survey due by tonight 12 pmAS1 Survey due by tonight 12 pm  TP1 and AS2 are outTP1 and AS2 are out  Pictures will be taken before you leavePictures will be taken before you leave  Who we areWho we are  Don’t memorize course content. Understand it.Don’t memorize course content. Understand it. admission.edhole.com
  • 6. OutlineOutline  Session Objective & ContextSession Objective & Context  Project FinancingProject Financing  OwnerOwner  ProjectProject  ContractorContractor  Additional IssuesAdditional Issues  Financial EvaluationFinancial Evaluation  Time value of moneyTime value of money  Present valuePresent value  RatesRates  Interest FormulasInterest Formulas  NPVNPV  IRR & payback periodIRR & payback period  Missing factorsMissing factorsadmission.edhole.com
  • 7. Session ObjectiveSession Objective  The role of project financingThe role of project financing  Mechanisms for project financingMechanisms for project financing  Measures of project profitabilityMeasures of project profitability admission.edhole.com
  • 8. Project Management PhaseProject Management Phase FEASIBILITY DESIGN PLANNING CLOSEOUTDEVELOPMENT OPERATIONS Financing & Evaluation Risk admission.edhole.com
  • 9. Context: Feasibility PhasesContext: Feasibility Phases  Project ConceptProject Concept  Land Purchase & Sale ReviewLand Purchase & Sale Review  Evaluation (scope, size, etc.)Evaluation (scope, size, etc.)  Constraint surveyConstraint survey  Site constraintsSite constraints  Cost modelsCost models  Site infrastructural issuesSite infrastructural issues  Permit requirementsPermit requirements  Summary ReportSummary Report  Decision to proceedDecision to proceed  Regulatory process (obtain permits, etc)Regulatory process (obtain permits, etc)  Design PhaseDesign Phaseadmission.edhole.com
  • 10. Lecture 2 - ReferencesLecture 2 - References More details on:More details on:  Hendrickson PM for Construction on-line textbookHendrickson PM for Construction on-line textbook  Chapter 7Chapter 7 admission.edhole.com
  • 11. OutlineOutline  Session Objective & ContextSession Objective & Context  Project FinancingProject Financing  OwnerOwner  ProjectProject  ContractorContractor  Additional IssuesAdditional Issues  Financial EvaluationFinancial Evaluation  Time value of moneyTime value of money  Present valuePresent value  RatesRates  Interest FormulasInterest Formulas  NPVNPV  IRR & payback periodIRR & payback period  Missing factorsMissing factorsadmission.edhole.com
  • 12. Financing – Gross CashflowsFinancing – Gross Cashflows ($35,000,000) ($30,000,000) ($25,000,000) ($20,000,000) ($15,000,000) ($10,000,000) ($5,000,000) $0 $5,000,000 $10,000,000 1 2 3 4 5 6 7 8 9 10 11 owner cum cashflow contractor cum cashflow years 1 2 3 4 5 6 7 8 9 10 OWNER investment ($10,000,000) ($20,000,000) operation incomes $2,000,000 $4,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 owner cashflow $0 ($10,000,000) ($20,000,000) $2,000,000 $4,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 owner cum cashflow $0 ($10,000,000) ($30,000,000) ($28,000,000) ($24,000,000) ($18,000,000) ($12,000,000) ($6,000,000) $0 $6,000,000 CONTRACTOR costs ($4,000,000) ($7,000,000) ($14,000,000) $0 $0 $0 $0 $0 $0 $0 revenues $0 $10,000,000 $20,000,000 $0 $0 $0 $0 $0 $0 $0 contractor cashflow ($4,000,000) $3,000,000 $6,000,000 $0 $0 $0 $0 $0 $0 $0 contractor cum cashflow($4,000,000) ($1,000,000) $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 Owner investment = contractor revenue admission.edhole.com
  • 13. Financing – Gross CashflowsFinancing – Gross Cashflows ($35,000,000) ($30,000,000) ($25,000,000) ($20,000,000) ($15,000,000) ($10,000,000) ($5,000,000) $0 $5,000,000 $10,000,000 1 2 3 4 5 6 7 8 9 10 11 owner cum cashflow contractor cum cashflow years 1 2 3 4 5 6 7 8 9 10 OWNER investment ($10,000,000) ($20,000,000) operation incomes $2,000,000 $4,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 owner cashflow $0 ($10,000,000) ($20,000,000) $2,000,000 $4,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 owner cum cashflow $0 ($10,000,000) ($30,000,000) ($28,000,000) ($24,000,000) ($18,000,000) ($12,000,000) ($6,000,000) $0 $6,000,000 CONTRACTOR costs ($4,000,000) ($7,000,000) ($14,000,000) $0 $0 $0 $0 $0 $0 $0 revenues $0 $10,000,000 $20,000,000 $0 $0 $0 $0 $0 $0 $0 contractor cashflow ($4,000,000) $3,000,000 $6,000,000 $0 $0 $0 $0 $0 $0 $0 contractor cum cashflow($4,000,000) ($1,000,000) $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 Owner investment = contractor revenue Design/Preliminary Construction admission.edhole.com
  • 14. Financing – Gross CashflowsFinancing – Gross Cashflows ($35,000,000) ($30,000,000) ($25,000,000) ($20,000,000) ($15,000,000) ($10,000,000) ($5,000,000) $0 $5,000,000 $10,000,000 1 2 3 4 5 6 7 8 9 10 11 owner cum cashflow contractor cum cashflow years 1 2 3 4 5 6 7 8 9 10 OWNER investment ($10,000,000) ($20,000,000) operation incomes $2,000,000 $4,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 owner cashflow $0 ($10,000,000) ($20,000,000) $2,000,000 $4,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 $6,000,000 owner cum cashflow $0 ($10,000,000) ($30,000,000) ($28,000,000) ($24,000,000) ($18,000,000) ($12,000,000) ($6,000,000) $0 $6,000,000 CONTRACTOR costs ($4,000,000) ($7,000,000) ($14,000,000) $0 $0 $0 $0 $0 $0 $0 revenues $0 $10,000,000 $20,000,000 $0 $0 $0 $0 $0 $0 $0 contractor cashflow ($4,000,000) $3,000,000 $6,000,000 $0 $0 $0 $0 $0 $0 $0 contractor cum cashflow($4,000,000) ($1,000,000) $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 $5,000,000 Owner investment = contractor revenue • Early expenditure • Takes time to get revenue Design/Preliminary Construction admission.edhole.com
  • 15. Project FinancingProject Financing Aims to bridge this gap in the most beneficial way!Aims to bridge this gap in the most beneficial way! admission.edhole.com
  • 16. Critical Role of FinancingCritical Role of Financing  Makes projects possibleMakes projects possible  Has major impact onHas major impact on  Riskiness of constructionRiskiness of construction  ClaimsClaims  Prices offered by contractors (e.g., high bid price for latePrices offered by contractors (e.g., high bid price for late payment)payment)  Difficulty of Financing is a major driver towards alternateDifficulty of Financing is a major driver towards alternate delivery methods (e.g., Build-Operate-Transfer)delivery methods (e.g., Build-Operate-Transfer) admission.edhole.com
  • 17. How Does Owner Finance a Project?How Does Owner Finance a Project?  PublicPublic  PrivatePrivate  ““Project” financingProject” financing admission.edhole.com
  • 18. OutlineOutline  Session Objective & ContextSession Objective & Context  Project FinancingProject Financing  OwnerOwner  ProjectProject  ContractorContractor  Additional IssuesAdditional Issues  Financial EvaluationFinancial Evaluation  Time value of moneyTime value of money  Present valuePresent value  RatesRates  Interest FormulasInterest Formulas  NPVNPV  IRR & payback periodIRR & payback period  Missing factorsMissing factorsadmission.edhole.com
  • 19. Public FinancingPublic Financing  Sources of fundsSources of funds  General purpose or special-purpose bondsGeneral purpose or special-purpose bonds  Tax revenuesTax revenues  Capital grants subsidiesCapital grants subsidies  International subsidized loansInternational subsidized loans  Social benefits important justificationSocial benefits important justification  Benefits to region, quality of life, unemployment relief, etc.Benefits to region, quality of life, unemployment relief, etc.  Important consideration: exemption from taxesImportant consideration: exemption from taxes  Public owners face restrictions (e.g. bonding caps)Public owners face restrictions (e.g. bonding caps)  Major motivation for public/private partnershipsMajor motivation for public/private partnerships  MARR (Minimum Attractive Rate of Return) much lower (e.g. 8-MARR (Minimum Attractive Rate of Return) much lower (e.g. 8- 10%), often standardized10%), often standardized admission.edhole.com
  • 20. Private FinancingPrivate Financing  Major mechanismsMajor mechanisms  EquityEquity  Invest corporate equity and retained earningsInvest corporate equity and retained earnings  Offering equity sharesOffering equity shares  Stock Issuance (e.g. in capital markets)Stock Issuance (e.g. in capital markets)  Must entice investors with sufficiently high rate of returnMust entice investors with sufficiently high rate of return  May be too limited to support the full investmentMay be too limited to support the full investment  May be strategically wrong (e.g., source of money, ownership)May be strategically wrong (e.g., source of money, ownership)  DebtDebt  Borrow moneyBorrow money  BondsBonds  Because higher costs and risks, require higher returnsBecause higher costs and risks, require higher returns  MARR varies per firm, often high (e.g. 20%)MARR varies per firm, often high (e.g. 20%) admission.edhole.com
  • 21. Private FinancingPrivate Financing  Major mechanismsMajor mechanisms  EquityEquity  Invest corporate equity and retained earningsInvest corporate equity and retained earnings  Offering equity sharesOffering equity shares  Stock Issuance (e.g. in capital markets)Stock Issuance (e.g. in capital markets)  Must entice investors with sufficiently high rate of returnMust entice investors with sufficiently high rate of return  May be too limited to support the full investmentMay be too limited to support the full investment  May be strategically wrong (e.g., source of money, ownership)May be strategically wrong (e.g., source of money, ownership)  DebtDebt  Borrow moneyBorrow money  BondsBonds  Because higher costs and risks, require higher returnsBecause higher costs and risks, require higher returns  MARR varies per firm, often high (e.g. 20%)MARR varies per firm, often high (e.g. 20%) admission.edhole.com
  • 22. Private Owners w/Collateral FacilityPrivate Owners w/Collateral Facility Distinct Financing PeriodsDistinct Financing Periods  Short-term construction loanShort-term construction loan  Bridge DebtBridge Debt  Risky (and hence expensive!)Risky (and hence expensive!)  Borrowed so owner can pay for construction (cost)Borrowed so owner can pay for construction (cost)  Long-term mortgageLong-term mortgage  Senior DebtSenior Debt  Typically facility is collateralTypically facility is collateral  Pays for operations and Construction financing debtsPays for operations and Construction financing debts  Typically much lower interestTypically much lower interest  Loans often negotiated as a packageLoans often negotiated as a package timeconstruction w/o tangible operation w/ tangibleadmission.edhole.com
  • 23. OutlineOutline  Session Objective & ContextSession Objective & Context  Project FinancingProject Financing  OwnerOwner  ProjectProject  ContractorContractor  Additional IssuesAdditional Issues  Financial EvaluationFinancial Evaluation  Time value of moneyTime value of money  Present valuePresent value  RatesRates  Interest FormulasInterest Formulas  NPVNPV  IRR & payback periodIRR & payback period  Missing factorsMissing factorsadmission.edhole.com
  • 24. ““Project” FinancingProject” Financing  Investment is paid back from the project profit rather than theInvestment is paid back from the project profit rather than the general assets or creditworthiness of the project ownersgeneral assets or creditworthiness of the project owners  For larger projects due to fixed cost to establishFor larger projects due to fixed cost to establish  Small projects not much benefitSmall projects not much benefit  Investment in project through special purpose corporationsInvestment in project through special purpose corporations  Often joint venture between several partiesOften joint venture between several parties  Need capacity for independent operationNeed capacity for independent operation  BenefitsBenefits  Off balance sheet (liabilities do not belong to parent)Off balance sheet (liabilities do not belong to parent)  Limits riskLimits risk  External investors: reduced agency cost (direct investment in project)External investors: reduced agency cost (direct investment in project)  DrawbackDrawback  Tensions among stakeholdersTensions among stakeholders admission.edhole.com
  • 25. OutlineOutline  Session Objective & ContextSession Objective & Context  Project FinancingProject Financing  OwnerOwner  ProjectProject  ContractorContractor  Additional IssuesAdditional Issues  Financial EvaluationFinancial Evaluation  Time value of moneyTime value of money  Present valuePresent value  RatesRates  Interest FormulasInterest Formulas  NPVNPV  IRR & payback periodIRR & payback period  Missing factorsMissing factorsadmission.edhole.com
  • 26. Contractor Financing IContractor Financing I  Payment schedulePayment schedule  Break out payments into componentsBreak out payments into components  Advance paymentAdvance payment  Periodic/monthly progress payment (itemized breakdown structure)Periodic/monthly progress payment (itemized breakdown structure)  Milestone paymentsMilestone payments  Often some compromise between contractor and ownerOften some compromise between contractor and owner  Architect certifies progressArchitect certifies progress  Agreed-upon payments  retention on payments (usually, about 10%)retention on payments (usually, about 10%)  Often must cover deficit during constructionOften must cover deficit during construction  Can be many months before payment receivedCan be many months before payment received admission.edhole.com
  • 28. S-curve CostS-curve Cost 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Working days $K 0 10 20 30 40 50 60 70 80 90 100 Cumulativecosts$K Daily cost Cum. costs admission.edhole.com
  • 29. Expense & PaymentExpense & Payment admission.edhole.com
  • 30. Contractor Financing IIContractor Financing II  Owner keeps an eye out forOwner keeps an eye out for  Front-end loaded bids (discounting)Front-end loaded bids (discounting)  Unbalanced bidsUnbalanced bids Contractor Revenue Projection 0 20 40 60 80 100 120 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Month Revenue Contractor Revenue Projection 0 20 40 60 80 100 120 140 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Month Revenue admission.edhole.com
  • 31. Contractor Financing IIContractor Financing II  Owner keeps an eye out forOwner keeps an eye out for  Front-end loaded bids (discounting)Front-end loaded bids (discounting)  Unbalanced bidsUnbalanced bids  Contractors frequently borrow fromContractors frequently borrow from  Banks (Need to demonstrate low risk)Banks (Need to demonstrate low risk)  Interaction with ownersInteraction with owners  Some owners may assist in fundingSome owners may assist in funding  Help secure lower-priced loan for contractorHelp secure lower-priced loan for contractor  Sometimes assist owners in funding!Sometimes assist owners in funding!  Big construction company, small municipalityBig construction company, small municipality  BOTBOT admission.edhole.com
  • 32.  Agreed upon in contractAgreed upon in contract  Often structure proposed by ownerOften structure proposed by owner  Should be checked by owner (fair-cost estimate)Should be checked by owner (fair-cost estimate)  Often based on “Masterformat” Cost Breakdown StructureOften based on “Masterformat” Cost Breakdown Structure (Owner standard CBS)(Owner standard CBS)  Certified by third party (Architect/engineer)Certified by third party (Architect/engineer) Contractor Financing IIIContractor Financing III admission.edhole.com
  • 33. OutlineOutline  Session Objective & ContextSession Objective & Context  Project FinancingProject Financing  OwnerOwner  ProjectProject  ContractorContractor  Additional IssuesAdditional Issues  Financial EvaluationFinancial Evaluation  Time value of moneyTime value of money  Present valuePresent value  RatesRates  Interest FormulasInterest Formulas  NPVNPV  IRR & payback periodIRR & payback period  Missing factorsMissing factorsadmission.edhole.com
  • 34. Latent CreditLatent Credit  Many people forced to serve as lenders to owner dueMany people forced to serve as lenders to owner due to delays in paymentsto delays in payments  DesignersDesigners  ContractorsContractors  ConsultantsConsultants  CMCM  SuppliersSuppliers  ImplicationsImplications  Good in the short-termGood in the short-term  Major concern on long run effectsMajor concern on long run effects admission.edhole.com
  • 35. Role of TaxesRole of Taxes  Tax deductions forTax deductions for  Depreciation -Depreciation - LinkLink  the process of recognizing the using up of an asset throughthe process of recognizing the using up of an asset through wear and obsolescence and of subtracting capital expenseswear and obsolescence and of subtracting capital expenses from the revenues that the asset generates over time infrom the revenues that the asset generates over time in computing taxable incomecomputing taxable income  OthersOthers admission.edhole.com
  • 36. OutlineOutline  Session Objective & ContextSession Objective & Context  Project FinancingProject Financing  Owner  Project  Contractor  Additional Issues  Financial EvaluationFinancial Evaluation  Time value of moneyTime value of money  Present valuePresent value  RatesRates  Interest FormulasInterest Formulas  NPVNPV  IRR & payback periodIRR & payback period  Missing factorsMissing factorsadmission.edhole.com
  • 37. Develop or Not DevelopDevelop or Not Develop  Is any individual project worthwhile?Is any individual project worthwhile?  Given a list of feasible projects, which one is the best?Given a list of feasible projects, which one is the best?  How does each project rank compared to the others onHow does each project rank compared to the others on the list?the list? admission.edhole.com
  • 38. Project Evaluation Example:Project Evaluation Example:  Project AProject A  Construction=3 yearsConstruction=3 years  Cost = $1M/yearCost = $1M/year  Sale Value=$4MSale Value=$4M  Total Cost?Total Cost?  Profit?Profit?  Project BProject B  Construction=6 yearsConstruction=6 years  Cost=$1M/yearCost=$1M/year  Sale Value=$8.5MSale Value=$8.5M  Total Cost?Total Cost?  Profit?Profit? admission.edhole.com
  • 39. Quantitative MethodQuantitative Method  ProfitabilityProfitability  Create value for the companyCreate value for the company admission.edhole.com
  • 40. ProfitProfit TOTALTOTAL EQUIVAL. $EQUIVAL. $ REVENUESREVENUES 5,500,000.005,500,000.00 COSTSCOSTS 4,600,000.004,600,000.00 Project managementProject management 400,000.00400,000.00 EngineeringEngineering 800,000.00800,000.00 Material & transportMaterial & transport 2,200,000.002,200,000.00 Construction/commissioningConstruction/commissioning 1,300,000.001,300,000.00 ContingenciesContingencies 200,000.00200,000.00 GROSS MARGINGROSS MARGIN 900,000.00900,000.00 Time factor?Time factor?admission.edhole.com
  • 41. Quantitative MethodQuantitative Method  ProfitabilityProfitability  Create value for the companyCreate value for the company  Opportunity CostOpportunity Cost  Time Value of MoneyTime Value of Money  A dollar today is worth more than a dollar tomorrowA dollar today is worth more than a dollar tomorrow  Investment relative to best-case scenarioInvestment relative to best-case scenario  E.g. Project A - 8% profit, Project B - 10% profitE.g. Project A - 8% profit, Project B - 10% profit admission.edhole.com
  • 42. Money Is Not EverythingMoney Is Not Everything  Social BenefitsSocial Benefits  HospitalHospital  SchoolSchool  Highway built into a remote villageHighway built into a remote village  Intangible Benefits (E.g, operating and competitiveIntangible Benefits (E.g, operating and competitive necessity)necessity)  New warehouseNew warehouse  New cafeteriaNew cafeteria admission.edhole.com
  • 43. OutlineOutline  Session Objective & ContextSession Objective & Context  Project FinancingProject Financing  Owner  Project  Contractor  Additional issues  Financial EvaluationFinancial Evaluation  Time value of moneyTime value of money  Present valuePresent value  RatesRates  Interest FormulasInterest Formulas  NPVNPV  IRR & payback periodIRR & payback period  Missing factorsMissing factorsadmission.edhole.com
  • 44. Basic CompoundingBasic Compounding  Suppose we invest $x in a bank offering interest rate iSuppose we invest $x in a bank offering interest rate i  If interest is compounded annually, asset will be worthIf interest is compounded annually, asset will be worth  $x(1+i) after 1 year$x(1+i) after 1 year  $x(1+i)$x(1+i)22 after 2 yearsafter 2 years  $x(1+i)$x(1+i)33 after 3 years ….after 3 years ….  $x(1+i)$x(1+i)nn after n yearsafter n years $x 0 1 $x(1+i) 2 $x(1+i)22 n $x(1+i)nn … admission.edhole.com
  • 45. Time Value of MoneyTime Value of Money  If we assumeIf we assume  That money can always be invested in the bank (or someThat money can always be invested in the bank (or some other reliable source) now to gain a return with interest laterother reliable source) now to gain a return with interest later  That as rational actors, we never make an investment whichThat as rational actors, we never make an investment which we know to offer less money than we could get in the bankwe know to offer less money than we could get in the bank  ThenThen  Money in theMoney in the presentpresent can be thought as of “equal worth” tocan be thought as of “equal worth” to a larger amount of money in the futurea larger amount of money in the future  Money in theMoney in the futurefuture can be thought of as having an equalcan be thought of as having an equal worth to a lesser “present value” of moneyworth to a lesser “present value” of money admission.edhole.com
  • 46. Equivalence of Present ValuesEquivalence of Present Values  Given a source of reliable investments, we areGiven a source of reliable investments, we are indifferent between any cash flows with theindifferent between any cash flows with the same present value – they have “equal worth”same present value – they have “equal worth”  This indifferences arises because we can convertThis indifferences arises because we can convert one to the other with no extra expenseone to the other with no extra expense admission.edhole.com
  • 47. PreliminariesPreliminaries  STELLAR access:STELLAR access: http://stellar.mit.edu/S/course/1/sp07/1.040/http://stellar.mit.edu/S/course/1/sp07/1.040/  Next Tuesday Recitation: Skyscraper Part INext Tuesday Recitation: Skyscraper Part I  Please set up an appointment to discuss your AS2 ifPlease set up an appointment to discuss your AS2 if you choose emerging technologies (MF preferred)you choose emerging technologies (MF preferred)  Office: 1-174Office: 1-174  TA (50%) for our classTA (50%) for our class  Send your resume (or brief your experience) by this SundaySend your resume (or brief your experience) by this Sunday admission.edhole.com
  • 48. OutlineOutline  Session Objective & ContextSession Objective & Context  Project FinancingProject Financing  Owner  Project  Contractor  Additional issues  Financial EvaluationFinancial Evaluation  Time value of money  Present valuePresent value  RatesRates  Interest FormulasInterest Formulas  NPVNPV  IRR & payback periodIRR & payback period  Missing factorsMissing factorsadmission.edhole.com
  • 49. Time Value of Money: RevisitTime Value of Money: Revisit  If we assumeIf we assume  That money can always be invested in the bank (or someThat money can always be invested in the bank (or some other reliable source) now to gain a return with interest laterother reliable source) now to gain a return with interest later  That as rational actors, we never make an investment whichThat as rational actors, we never make an investment which we know to offer less money than we could get in the bankwe know to offer less money than we could get in the bank  ThenThen  Money in theMoney in the presentpresent can be thought as of “equal worth” tocan be thought as of “equal worth” to a larger amount of money in the futurea larger amount of money in the future  Money in theMoney in the futurefuture can be thought of as having an equalcan be thought of as having an equal worth to a lesser “present value” of moneyworth to a lesser “present value” of money admission.edhole.com
  • 50. Present Value (Revenue)Present Value (Revenue)  How is it that some future revenueHow is it that some future revenue rr at timeat time tt has a “presenthas a “present value”?value”?  Answer: Given that we are sure that we will be gaining revenueAnswer: Given that we are sure that we will be gaining revenue rr at timeat time tt, we can take and spend an immediate loan from the, we can take and spend an immediate loan from the bankbank  We choose size of this loanWe choose size of this loan ll so that at timeso that at time tt, the total size of the loan, the total size of the loan (including accrued interest) is(including accrued interest) is rr  The loanThe loan ll is the present value ofis the present value of rr  ll = PV(= PV(rr)) admission.edhole.com
  • 51. Future to Present RevenueFuture to Present Revenue x t -x tPV(x) 0 I’ll pay this back to the bank later I can borrow this from the bank now tPV(x) If I know this is coming… The net result is that I can convert a sure x at time t into a (smaller) PV(x) now! admission.edhole.com
  • 52. Present Value (Cost)Present Value (Cost)  How is it that some future costHow is it that some future cost cc at timeat time tt has a “present value”?has a “present value”?  Answer: Given that we areAnswer: Given that we are suresure that we will bear costthat we will bear cost cc at timeat time tt,, we immediately deposit a sum of moneywe immediately deposit a sum of money xx into the bank yieldinginto the bank yielding a known returna known return  We choose size of depositWe choose size of deposit xx so that at timeso that at time tt, the total size of the, the total size of the investment (including accrued interest) isinvestment (including accrued interest) is cc  We can then pay offWe can then pay off cc at timeat time tt by retrieving this money from the bankby retrieving this money from the bank  The size of the deposit (immediate cost)The size of the deposit (immediate cost) xx is theis the present valuepresent value ofof cc.. admission.edhole.com