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1.040/1.401
Project Management
Spring 2007 Project Financing & Evaluation
Dr SangHyun Lee
lsh@mit.edu
Department of Civil and Environmental Engineering
Massachusetts Institute of Technology
Trang 2 STELLAR access: to be announced
AS1 Survey due by tonight 12 pm
TP1 and AS2 are out
Trang 3AS 2: Student Presentation
10 minute presentation followed by 5 minute discussion
1 or 2 presentations from Feb 20 to Mar 19
Topics
Size of project is not important!
Project main figures
Main managerial aspects
Project management practices
Problems, strengths, weaknesses, risks
Your learning
Volunteers for next week?
Trang 4 STELLAR access: to be announced
AS1 Survey due by tonight 12 pm
TP1 and AS2 are out
Pictures will be taken before you leave
Who we are
Don’t memorize course content Understand it.
Trang 6Session Objective
Trang 7Project Management Phase
FEASIBILITY PLANNING DESIGN DEVELOPMENT CLOSEOUT OPERATIONS
Financing & Evaluation
Risk
Trang 8Context: Feasibility Phases
Project Concept
Land Purchase & Sale Review
Evaluation (scope, size, etc.)
Trang 9Lecture 2 - References
More details on:
Hendrickson PM for Construction on-line textbook
Chapter 7
Trang 11Financing – Gross Cashflows
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
Trang 12Financing – Gross Cashflows
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
Trang 13Financing – Gross Cashflows
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
Trang 14Project Financing
Aims to bridge this gap in the most beneficial way!
Trang 15Critical Role of Financing
Makes projects possible
Has major impact on
Trang 16How Does Owner Finance a Project?
Trang 18Public Financing
Sources of funds
Capital grants subsidies
International subsidized loans
Social benefits important justification
Benefits to region, quality of life, unemployment relief, etc.
Important consideration: exemption from taxes
Public owners face restrictions (e.g bonding caps)
Major motivation for public/private partnerships
often standardized
Trang 19Private Financing
Major mechanisms
Equity
Stock Issuance (e.g in capital markets)
Debt
Because higher costs and risks, require higher returns
MARR varies per firm, often high (e.g 20%)
Trang 20Private Owners w/Collateral Facility
Distinct Financing Periods
Short-term construction loan
Risky (and hence expensive!)
Borrowed so owner can pay for construction (cost)
Typically facility is collateral
Pays for operations and Construction financing debts
Typically much lower interest
Loans often negotiated as a package
time
construction w/o tangible
operation w/ tangible
Trang 22“Project” Financing
Investment is paid back from the project profit rather than the general assets or creditworthiness of the project owners
For larger projects due to fixed cost to establish
Small projects not much benefit
Investment in project through special purpose corporations
Often joint venture between several parties
Need capacity for independent operation
Trang 24 Often some compromise between contractor and owner
Architect certifies progress
Agreed-upon payments
Often must cover deficit during construction
Can be many months before payment received
Trang 25S-curve Work
Man-hours
months
Trang 27Expense & Payment
Trang 28Contractor Financing II
Owner keeps an eye out for
Front-end loaded bids (discounting)
Unbalanced bids
Trang 29Contractor Financing II
Owner keeps an eye out for
Front-end loaded bids (discounting)
Unbalanced bids
Contractors frequently borrow from
Banks (Need to demonstrate low risk)
Interaction with owners
Some owners may assist in funding
Sometimes assist owners in funding!
BOT
Trang 30 Agreed upon in contract
Often structure proposed by owner
Should be checked by owner (fair-cost estimate)
Often based on “Masterformat” Cost Breakdown Structure (Owner standard CBS)
Certified by third party (Architect/engineer)
Contractor Financing III
Trang 33computing taxable income
Others
Trang 35Develop or Not Develop
Is any individual project worthwhile?
Given a list of feasible projects, which one is the best?
How does each project rank compared to the others on the list?
Trang 36Project Evaluation Example:
Trang 37Quantitative Method
Profitability
Create value for the company
Trang 38TOTAL EQUIVAL $
Trang 39Quantitative Method
Profitability
Create value for the company
Opportunity Cost
Time Value of Money
Investment relative to best-case scenario
Trang 40Money Is Not Everything
Social Benefits
Hospital
School
Highway built into a remote village
Intangible Benefits (E.g, operating and competitive necessity)
New warehouse
New cafeteria New cafeteria
Trang 42Basic Compounding
Suppose we invest $x in a bank offering interest rate i
If interest is compounded annually, asset will be worth
$x(1+i) after 1 year
$x(1+i) 2 after 2 years
$x(1+i) 3 after 3 years ….
$x(1+i) n after n years
$x
Trang 43Time Value of Money
If we assume
That money can always be invested in the bank (or
some other reliable source) now to gain a return with interest later
That as rational actors, we never make an investment which we know to offer less money than we could get in the bank
Then
Money in the present can be thought as of “equal
worth” to a larger amount of money in the future
Money in the future can be thought of as having an
equal worth to a lesser “present value” of money
Trang 44Equivalence of Present Values
between any cash flows with the same present value – they have
“equal worth”
other with no extra expense
Trang 45 STELLAR access:
http://stellar.mit.edu/S/course/1/sp07/1.040/
Next Tuesday Recitation: Skyscraper Part I
Please set up an appointment to discuss your AS2 if you choose emerging technologies (MF preferred)
Office: 1-174
TA (50%) for our class
Send your resume (or brief your experience) by this Sunday
Trang 47Time Value of Money: Revisit
If we assume
That money can always be invested in the bank (or
some other reliable source) now to gain a return with interest later
That as rational actors, we never make an investment which we know to offer less money than we could get in the bank
Then
Money in the present can be thought as of “equal
worth” to a larger amount of money in the future
Money in the future can be thought of as having an
equal worth to a lesser “present value” of money
Trang 48Present Value (Revenue)
How is it that some future revenue r at time t has a “present value”?
Answer: Given that we are sure that we will be gaining revenue r at time t,
we can take and spend an immediate loan from the bank
We choose size of this loan l so that at time t, the total size of the loan (including accrued interest) is r
The loan l is the present value of r
Trang 49Future to Present Revenue
x
t
-x
t PV(x)
0 I’ll pay this back to the bank later
I can borrow this from the bank now
t PV(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!
Trang 50Present Value (Cost)
How is it that some future cost c at time t has a “present value”?
Answer: Given that we are sure that we will bear cost c at time t, we immediately deposit a sum of money x into the bank yielding a known return
We choose size of deposit x so that at time t, the total size of the investment (including accrued interest) is c
We can then pay off c at time t by retrieving this money from the bank
The size of the deposit (immediate cost) x is the present value of c.
Trang 51Future to Present Cost
x
t PV(x)
I retrieve this back from the bank later
I can deposit this in the bank now
If I know this cost is coming…
Trang 52 Because we can flexibly switch from one such value to another without cost,
we can view these values as equivalent
FV
t v
v’
0
PV
Trang 53 Because we can flexibly switch from one such value to another without cost,
we can view these values as equivalent
FV
t v
Trang 55 Difference between PV (v) and FV ( =v(1+i) t ) depends on i and t.
Trang 56 Difference between PV (v) and FV ( =v(1+i) t ) depends on i and t.
Interest Rate
Discount Rate (real change in value to a person or group)
Discount Rate > Interest Rate
risks of a project (i.e., minimum standard of desirability)
Trang 57Choice of Discount Rate
r = rf + ri + rr Where:
r is the discount rate
rf the risk free interest rate Normally government bond
ri Rate of inflation It is measured by either by consumer price
index or GDP deflator
rr Risk factor consisting of market risk, industry risk, firm
specific risk and project risk
Trang 59Interest Formulas
i = Effective interest rate per interest period (discount rate or MARR)
A = Annuity (i.e., a series of payments of set size) at end-of-period
Trang 60Interest Formulas: Payment
Factor that will make your present value future value in single payment
(F/P, i, n) = (1 + i ) n
P
n 0
F
Trang 61Interest Formulas: Payment
Single Payment Present Value Factor (P=F×Factor)
Factor that will make your future value present value in single payment
(P/F, i, n) = 1/ (1 + i ) n = 1/ (F/P, i, n)
P
n 0
F
Trang 62Interest Formulas: Payment
- Example
If you wish to have $100,000 at the end of five years in an account that pays 12 percent annually, how much would you need to deposit now?
Trang 63Interest Formulas: Payment
- Example
If you wish to have $100,000 at the end of five years in an account that pays 12 percent annually, how much would you need to deposit now?
(P/F, 0.12, 5) or (F/P, 0.12, 5)?
P=?
n 0
F=$100,000
Trang 64Interest Formulas: Payment
- Example
If you wish to have $100,000 at the end of five years in an account that pays 12 percent annually, how much would you need to deposit now?
P = F×(P/F, 0.12, 5)
P = 100,000 × (P/F, 0.12, 5)
P = 100,000 × 0.5674 = $56,740
Trang 65Interest Formulas: Series
Factor that will make your annuity value future value in series payment
Trang 66Interest Formulas: Series
Factor that will make your annuity value future value in series payment
Trang 67Interest Formulas: Series
Factor that will make your annuity value future value in series payment
Trang 68Interest Formulas: Series
Factor that will make your annuity value future value in series payment
Trang 69Interest Formulas: Series
Factor that will make your future value annuity value in series payment
Trang 70Interest Formulas: Series
n
P
Uniform Series Present Value Factor (P=A×Factor)
(P/A, i, n) = [ (1 + i ) n -1 ] / [ i (1 + i ) n ]
Trang 71Interest Formulas: Series
n
Uniform Series Present Value Factor (P=A×Factor)
(P/A, i, n) = [ (1 + i ) n -1 ] / [ i (1 + i ) n ]
Trang 72Interest Formulas: Series
n
Uniform Series Present Value Factor (P=A×Factor)
(P/A, i, n) = [ (1 + i ) n -1 ] / [ i (1 + i ) n ]
Trang 73Interest Formulas: Series
n
Uniform Series Present Value Factor (P=A×Factor)
(P/A, i, n) = [ (1 + i ) n -1 ] / [ i (1 + i ) n ]
Verify it!
Trang 74Interest Formulas: Series
Uniform Series Capital Recovery Factor (A=P×Factor)
Trang 75Interest Formulas: Series
Trang 76Interest Formulas: Series
Trang 77Interest Formulas: Series
Trang 78Equipment Example
$ 20,000 equipment expected to last 5 years
$ 4,000 salvage value
Minimum attractive rate of return 15%
What are the?
A - Annual Equivalent
P - Present Equivalent
Trang 79Equipment Example
Trang 82Net Present Value
Suppose we had a collection (or stream, flow) of costs and
revenues in the future
The net present value (NPV) is the sum of the present values for all of these costs and revenues
Treat revenues as positive and costs as negative
Trang 83Calculation of Net Present Value
Total Revenue (R) (+) Various Costs (C) (-)
Calculate Gross Return
Calculate Net Return
Trang 84Net Present Value Decision Rule
Accept a project which has 0 or positive NPV
Trang 85Project Evaluation Example Revisit: Which one is better?
Trang 86Drawing out the examples
Trang 87Or Using Interest Formulas
Trang 88Four Independent Projects
The cash flow profiles of four independent projects are shown below Using a MARR of 20%, determine the acceptability of each of the projects on the basis of the net present value criterion for accepting independent projects
Trang 92Discount Rate in NPV
(opportunity cost)
profitable can be rejected If too low, the firm will accept projects that are too risky without proper compensation.
Trang 93Selection of Discount Rate: Example
2 pieces of equipment: one needs a human operator (initial cost $10,000, annual $4,200 for labor); the second is fully automated (initial cost $18,000, annual #3,000 for power) n=10years.
Is the additional $8,000 in the initial investment of the second equipment worthy the $1,200 annual savings? (discount rate: 5 or 10%)
Link
Trang 94Selection of Discount Rate: Example
2 pieces of equipment: one needs a human operator (initial cost $10,000, annual $4,200 for labor); the second is fully automated (initial cost $18,000, annual #3,000 for power) n=10years.
Is the additional $8,000 in the initial investment of the second equipment worthy the $1,200 annual savings? (discount rate: 5 or 10%)
There is a critical value of i that changes the equipment choice (approximately 8.15%)
Example: The US Federal Highway Administration promulgated a regulation in the early 1970s that the discount rate for all federally funded highways would be zero This was widely interpreted as a victory for the cement industry over asphalt industry Roads made of concrete cost significantly more than those of made of asphalt while requiring less maintenance and less replacement [Shtub et al., 1994] - Link