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Under supervision of Dr. Sadeghi 
By: 
Ali Bayani 
Ali Heydari 
Elnaz mahmoodi 
Kooshan Gholami 
Spring 2011
Financial Tools 
Three tools for Economic Justification: 
Cost Estimating 
Economic Measures 
Of Merit 
Setting Project Priorities
Financial Tools 
Cost Estimating: 
Materials 
Labor 
Utilities 
Maintenance 
Plant overheads 
Depreciation, taxes, and insurance 
General and administrative
Financial Tools 
Materials: 
The equation for estimating material is material price times 
quantity produced (units) divided by yield: 
Price * (units/yield)
Financial Tools 
Case Study: Total Materials Used 
Improvement Probe 
Probe sells 600$ 
Calculate 
material costs
Financial Tools 
Case Study: Total Materials Used 
So they set a target for improvement Probe’s materials
Financial Tools 
Labor: 
1) Total number of people directly working on the 
product 
2) Average wage rate
Financial Tools 
Labor cost: 
Vacation factor: 1.11 
(Hours per year – vacation/holiday = Total hours worked) 
Relief factor = 1.23 
Benefits factor = 1.3 
Supervision factor = 1.3
Financial Tools 
Annual labors cost: 
Number of operation * $ wages rate * 
2080*(1.11*1.23*1.3*1.3)
Financial Tools 
Case Study: Estimating Labor to 
Produce Scanning Instruments 
Analyze two suppliers 
Calculate the labor cost
Financial Tools 
Case Study: Estimating Labor to Produce Scanning Instruments 
The labor costs for the scanning machines were considerable. 
Of its $5,400 price tag, Supplier A’s labor costs were $2,184 
per unit ($436,800 divided by 200 instruments). 
Supplier B was indeed more automated so Mark was a little 
puzzled at this point as to why its price was $5,150 when its 
labor costs were only $1,613 per unit ($322,560 divided by 
200 instruments). 
Because of his efforts, he was able to secure a quote 
for the 200 instruments from Supplier B at a cost of 
$4,650.
Financial Tools 
Utilities: 
Include all the power associated with running the equipment 
used to produced the product. 
Annual utilities costs 
are 2 percent of 
investment
Financial Tools 
Utilities: 
We must estimate not only what it would cost to buy the equipment new, but 
multiply it by three to include installation, project management, and facilities 
associated with getting the equipment ready to run. 
Utilities = Total investment (TI) × .02
Financial Tools 
Maintenance: 
Maintenance includes both labor and materials to keep the process 
that is making the product or service, such as a mainframe computer, 
maintained and producing in an efficient manner. The estimate of 
annual maintenance cost is calculated at 6 percent of the total 
investment. 
Maintenance = .06 × total investment
Financial Tools 
Plant Overheads: 
General plant burden 
 Overtime 
 Plant administration (management and staff) 
 Employee relations 
 Medical 
 Fire and plant protection 
 Internal transportation (shipping and receiving) 
 Carrying and acquisition costs 
 Communications 
 Computers and telephone systems 
 Engineering assistance to operations 
Grounds upkeep 
 Cafeteria
Financial Tools 
Plant Overheads: 
The problem with assigning or allocating overhead costs to a 
product or service when there is more than one product or service 
produced at a given location is defining the costs to be distributed 
correctly. A good formula for estimating for overheads is .75 times 
labor: 
Overhead = .75 × labor
Financial Tools 
Depreciation, Taxes, and Insurance: 
Depreciation is one of the most misunderstood concepts associated with 
cost sheet and cash flow analysis. Depreciation is an accounting element, a 
noncash cost in total costs. Basically it is an investment incentive that the 
government gives to corporations to encourage them to continue to invest. 
Investment depreciation = 10% × total capital investment
Financial Tools 
Depreciation, Taxes, and Insurance: 
To this calculation add property taxes and insurance on the facility at 
1 percent and the final equation will be: 
Depreciation, taxes, and insurance = 
11% × total investment
Financial Tools 
General and Administrative Costs: 
Selling expenses (personal selling expenses such as travel, salaries, 
commissions, sales office rental, service, advertising, promotions, and 
other marketing functions) 
 Executive compensation 
 Staff departments 
 Legal 
 Finance 
 Purchasing
Financial Tools 
General and Administrative Costs: 
 Accounting 
Central engineering 
 Office space 
 Insurance 
 Property taxes 
 Clerical 
General and administrative expenses = 
15% × total expenses
Economic Measures of Merit 
• net present value (NPV) 
• discounted payback period (DPP) 
• Internal rate of return (IRR)
NPV
Performing a Cash Flow Analysis 
• Step 1: Estimate the cash flow streams produced by the 
project for 10 years. 
• Step 2: Discount the streams by the cost of capital, so that all 
streams are in today’s dollars. 
• Step 3: Cumulate the discounted cash flow streams and plot.
Step 1: Estimate the Cash Flow 
Streams. 
Revenue 
-cash expenses 
-depreciation 
=Before Tax Operating Income 
- taxes 
= Net Income 
+ depreciation 
- capital investment 
= Year-End Cash Flow
Step 1: Estimate the Cash Flow 
Streams.
Step 2: Discount the Streams by the Cost of Capital 
• Next year:
Step 2: Discount the Streams by the Cost of Capital 
• Weighted Average cost of capital 
Equity 15% × 2/3 = 10% 
Debt 7% × 1/3 = 2% 
Weighted average cost of capital = 12%
Step 3: Cumulate the Discounted 
Cash Flow Streams and Plot.
Step 3: Cumulate the Discounted 
Cash Flow Streams and Plot.
Setting Project Priorities
Case study 
• Company XYZ has $800,000 in its capital forecast for next year and 
must prioritize from the projects shown below
Case study
LIFE CYCLE ECONOMIC 
• A quest for a comprehensive life cycle economic model has been 
launched 
• Classical manufacturing cost models, cost and management 
accounting models, and microeconomic models are not adequate 
• A comprehensive life cycle economic model is needed for 
evaluation of the costs of 'doing' and 'not doing' the right things 
to make products and processes environmentally safe.
LIFE CYCLE ECONOMIC 
• The pace of product and process innovation in the intensely 
competitive world market is accelerating 
• Everyone has realized that bringing products rapidly to 
market by listening to the voice of the customer 
• by deploying concurrent (or simultaneous) engineering can 
be accomplished only if all issues including economics are 
considered up front before the first production run is made
CLASSICAL COST MODELS 
Taylor's Cost Model 
• Metal cutting economics began with the introduction of the now 
classical Taylor time and cost models: 
Cutting time per cut, tt = (ts + tc + td) = ts + Ic/V + (lc/VT)td (1) 
Cost per cut, cc = ts Cr+ lc Cr/V+ (lc/VT)td Cr + (Ic/VT)Y (2) 
Taylor tool life equation: logT = a constant - m 1ogV (3) 
• By differentiating equations (1 ) and (2) with respect to V and 
substituting the value of T from equation (3), Taylor obtained 
optimum speeds for minimum cutting time and minimum cost
CLASSICAL COST MODELS 
Traditional Accounting cost model 
• who introduced 'Scientific Management' that the efficiency and 
utilization of labor, material and equipment began to be measured 
against 'one best way of doing work’: 
Total Cost= Fixed Cost + Variable Cost 
Fixed Cost=Overhead; Variable Cost=Material Cost + Labor Cost 
Microeconomics of Firm 
• The classical microeconomic concepts deal with the theory of firm in 
pursuit of maximizing its profits and the theory of consumer behavior 
during maximization of satisfaction 
• Although the classical microeconomic theory provides a much needed 
firm foundation, cost models have not resulted from the theory because 
it is difficult to establish a production function in practice.
RECENT DEVELOPMENTS 
Macro- and Micro- economic Models 
• The Taylor tool life relationship and its subsequent 
refinements mentioned above treated speed or feed or 
depth of cut one variable at a time during the 
determination of the time and cost optima. 
• variables simultaneously leading to a truer optima for 
machining tinie and cost; this culminated in the form of 
cutting Rate-Tool Life-Functions (R-T-F) which describe 
the basic trade-off between tool life and cutting rate and 
consequently, machining time and cost.
Economic Models for New Process 
Development 
• Traditionally, the economics of new process development 
is investigated only after the technological feasibility of 
the process has been established and in most cases. 
• The introduction of the conditions for economic 
feasibility of a process provided a measure of how much 
improvement is necessary and sufficient to justify 
investment in the new process and the desirable working 
regions where the process should prove economically 
feasible, while the technological feasibility is being 
established.
The necessary condition of economic 
feasibility 
• states that the cost savings and the value of time 
savings by switching to the new process should 
be greater than zero. 
Δ cc+ Δ tc(oc) > 0 
where tc = [(Vr) + (v+va)/R + (v/RT)td 
cc = [(l/r) + (v+va)/R + (v/RT)td]Cr + (v/RT)Y 
Δ tC=tC-td ; Δ ==cc-cd 
tc=time per cut (oc)=opponunity cost (money/hour) 
cc=cost per cut (money/cut) l=rapid traverse distance Y=tool cost per usage (money/usage); Cs 
V=cutting speed (distance/time); v D=depth of cut (AD=Axial; RD=Radial); a. R=cutting rate (volume/time); CIRP equi., 2 
td=tool indedchange time (time); Is..
The necessary condition of economic 
feasibility 
• The time saved at a processing unit can be utilized for processing additional parts 
of the same kind or of a different kind, and hence, the opportunity cost (oc) of 
time savings is recognize by valuing these savings at the rate it costs to farm out 
work done by the machine. 
• The above equations apply to the individual cut or a sequence of cuts within a 
single setup on a machine tool, and, hence, these equations are called micro-economic 
models.
The necessary condition of economic 
feasibility 
• Since a corporation exists in a competitive environment, the 
frame work for a life cycle economic model must start from the 
competitive strategy that a corporation must employ. 
• Often employed successful strategy emphasizes capturing a 
desired portion of the market share by the timely introduction 
of a product with features and quality desired by the potential 
users at a competitive price.
COST AND SHARE 
• A target cost is determined by subtracting the desired profit 
from the competitive price. 
• By concurrently designing the products, processes, and 
systems that can be continually improved, the actual cost is 
brought closer and closer to the target cost. 
• Many Japanese companies are known to sacrifice initial 
profitability to gain the desired portion of the market share 
and subsequently harvest profits as volume increases with the 
increase in market share.
RISK AND OPPORTUNITY COST 
• On the other hand, the actual cost of the product must 
include not only the cost of materials, labor, consumables, 
and all support functions, but also, the potential penalty costs 
resulting from the environmental risks while the product is 
being manufactured, stored, in use, disposed or recycled. 
• There are also potential opportunity costs, which allow 
advantageous positions to be secured by timely competitive 
actions, including environmental and ecological 
responsiveness, which must be recognized.
LIFE CYCLE ECONOMIC MODEL 
• Therefore, the life cycle economic model must take the 
following form: 
(Actual Costs + Penalty Costs - Opportunity Costs) ≥ Target Cost 
• Implicit in the costs is the question of timing. Timing can be 
deployed only if the strategies are correctly formulated, the 
necessary resources deployed, and the logistics executed so 
as to achieve competitive introduction of the product: 
(Actual Time-to-Market + Penalty Lags - Opportunity Leads) ≥ Target Timing
HINTS 
• It is well known that over 80% of the costs of a 
product are committed before a first production run 
is made. 
• The opportunities for influencing the costs are few 
once the production begins. 
• The more successful the concurrent engineering 
process is the larger the portion of costs that will be 
committed prior to the production run.
Economic Justification of 
Advanced Manufacturing 
Technology
Advanced Manufacturing 
Technology(AMT) 
Technologies for increasing competitiveness of manufacturing 
firms.
Justification of AMT
AMT Justification 
Organizational 
decision making 
analysis 
Justification of the 
proposal 
Economic 
analysis 
Strategic 
analysis
Framework for the financial justification of AMT 
Level Ι 
DCF analysis with refinements NPV=V1 
Level ΙΙ 
Value of flexibilities mathematical 
programming models PV=V2 
Level ΙΙΙ 
Value of time series linkages learning 
curve models PV=V3 
Level ΙV 
Residual strategic benefits qualitative 
analysis 
V1≥0 
Gap G1=V1 
V2≥G2 
Gap G2=G1-V2 
V3≥G2 
Gap G3=G2-V3 
Benefits <G3 Benefits ≥G3 
Economically not OK Economically justified
Level 1 
Analyze the easily quantifiable costs and costs using the 
traditional discounted cash flow(DCF) models. 
Examine the limitations of the traditional DCF analysis and 
discuss some refinements.
Mechanics of the DCF analysis 
Assumption of the status quo of the current cash flows 
Terminal Value of the project 
Treatment of inflation
Level 2 
a stochastic mathematical programming model to quantify the 
strategic benefits such as flexibility and quality 
Analysis at Level2 becomes necessary if the Level1 analysis 
results in a negative NPV.
Level 3 
Quantify the benefits of the time series linkages between the 
project currently being justified and a related future project 
using a learning curve model
Level 4 
A qualitative assessment of the benefits which were not 
included in the evaluation at the first three levels.
Economic justification of npd project and financial tools

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Economic justification of npd project and financial tools

  • 1. Under supervision of Dr. Sadeghi By: Ali Bayani Ali Heydari Elnaz mahmoodi Kooshan Gholami Spring 2011
  • 2. Financial Tools Three tools for Economic Justification: Cost Estimating Economic Measures Of Merit Setting Project Priorities
  • 3. Financial Tools Cost Estimating: Materials Labor Utilities Maintenance Plant overheads Depreciation, taxes, and insurance General and administrative
  • 4. Financial Tools Materials: The equation for estimating material is material price times quantity produced (units) divided by yield: Price * (units/yield)
  • 5. Financial Tools Case Study: Total Materials Used Improvement Probe Probe sells 600$ Calculate material costs
  • 6. Financial Tools Case Study: Total Materials Used So they set a target for improvement Probe’s materials
  • 7. Financial Tools Labor: 1) Total number of people directly working on the product 2) Average wage rate
  • 8. Financial Tools Labor cost: Vacation factor: 1.11 (Hours per year – vacation/holiday = Total hours worked) Relief factor = 1.23 Benefits factor = 1.3 Supervision factor = 1.3
  • 9. Financial Tools Annual labors cost: Number of operation * $ wages rate * 2080*(1.11*1.23*1.3*1.3)
  • 10. Financial Tools Case Study: Estimating Labor to Produce Scanning Instruments Analyze two suppliers Calculate the labor cost
  • 11. Financial Tools Case Study: Estimating Labor to Produce Scanning Instruments The labor costs for the scanning machines were considerable. Of its $5,400 price tag, Supplier A’s labor costs were $2,184 per unit ($436,800 divided by 200 instruments). Supplier B was indeed more automated so Mark was a little puzzled at this point as to why its price was $5,150 when its labor costs were only $1,613 per unit ($322,560 divided by 200 instruments). Because of his efforts, he was able to secure a quote for the 200 instruments from Supplier B at a cost of $4,650.
  • 12. Financial Tools Utilities: Include all the power associated with running the equipment used to produced the product. Annual utilities costs are 2 percent of investment
  • 13. Financial Tools Utilities: We must estimate not only what it would cost to buy the equipment new, but multiply it by three to include installation, project management, and facilities associated with getting the equipment ready to run. Utilities = Total investment (TI) × .02
  • 14. Financial Tools Maintenance: Maintenance includes both labor and materials to keep the process that is making the product or service, such as a mainframe computer, maintained and producing in an efficient manner. The estimate of annual maintenance cost is calculated at 6 percent of the total investment. Maintenance = .06 × total investment
  • 15. Financial Tools Plant Overheads: General plant burden  Overtime  Plant administration (management and staff)  Employee relations  Medical  Fire and plant protection  Internal transportation (shipping and receiving)  Carrying and acquisition costs  Communications  Computers and telephone systems  Engineering assistance to operations Grounds upkeep  Cafeteria
  • 16. Financial Tools Plant Overheads: The problem with assigning or allocating overhead costs to a product or service when there is more than one product or service produced at a given location is defining the costs to be distributed correctly. A good formula for estimating for overheads is .75 times labor: Overhead = .75 × labor
  • 17. Financial Tools Depreciation, Taxes, and Insurance: Depreciation is one of the most misunderstood concepts associated with cost sheet and cash flow analysis. Depreciation is an accounting element, a noncash cost in total costs. Basically it is an investment incentive that the government gives to corporations to encourage them to continue to invest. Investment depreciation = 10% × total capital investment
  • 18. Financial Tools Depreciation, Taxes, and Insurance: To this calculation add property taxes and insurance on the facility at 1 percent and the final equation will be: Depreciation, taxes, and insurance = 11% × total investment
  • 19. Financial Tools General and Administrative Costs: Selling expenses (personal selling expenses such as travel, salaries, commissions, sales office rental, service, advertising, promotions, and other marketing functions)  Executive compensation  Staff departments  Legal  Finance  Purchasing
  • 20. Financial Tools General and Administrative Costs:  Accounting Central engineering  Office space  Insurance  Property taxes  Clerical General and administrative expenses = 15% × total expenses
  • 21. Economic Measures of Merit • net present value (NPV) • discounted payback period (DPP) • Internal rate of return (IRR)
  • 22. NPV
  • 23. Performing a Cash Flow Analysis • Step 1: Estimate the cash flow streams produced by the project for 10 years. • Step 2: Discount the streams by the cost of capital, so that all streams are in today’s dollars. • Step 3: Cumulate the discounted cash flow streams and plot.
  • 24. Step 1: Estimate the Cash Flow Streams. Revenue -cash expenses -depreciation =Before Tax Operating Income - taxes = Net Income + depreciation - capital investment = Year-End Cash Flow
  • 25. Step 1: Estimate the Cash Flow Streams.
  • 26. Step 2: Discount the Streams by the Cost of Capital • Next year:
  • 27.
  • 28. Step 2: Discount the Streams by the Cost of Capital • Weighted Average cost of capital Equity 15% × 2/3 = 10% Debt 7% × 1/3 = 2% Weighted average cost of capital = 12%
  • 29. Step 3: Cumulate the Discounted Cash Flow Streams and Plot.
  • 30. Step 3: Cumulate the Discounted Cash Flow Streams and Plot.
  • 32. Case study • Company XYZ has $800,000 in its capital forecast for next year and must prioritize from the projects shown below
  • 34. LIFE CYCLE ECONOMIC • A quest for a comprehensive life cycle economic model has been launched • Classical manufacturing cost models, cost and management accounting models, and microeconomic models are not adequate • A comprehensive life cycle economic model is needed for evaluation of the costs of 'doing' and 'not doing' the right things to make products and processes environmentally safe.
  • 35. LIFE CYCLE ECONOMIC • The pace of product and process innovation in the intensely competitive world market is accelerating • Everyone has realized that bringing products rapidly to market by listening to the voice of the customer • by deploying concurrent (or simultaneous) engineering can be accomplished only if all issues including economics are considered up front before the first production run is made
  • 36. CLASSICAL COST MODELS Taylor's Cost Model • Metal cutting economics began with the introduction of the now classical Taylor time and cost models: Cutting time per cut, tt = (ts + tc + td) = ts + Ic/V + (lc/VT)td (1) Cost per cut, cc = ts Cr+ lc Cr/V+ (lc/VT)td Cr + (Ic/VT)Y (2) Taylor tool life equation: logT = a constant - m 1ogV (3) • By differentiating equations (1 ) and (2) with respect to V and substituting the value of T from equation (3), Taylor obtained optimum speeds for minimum cutting time and minimum cost
  • 37. CLASSICAL COST MODELS Traditional Accounting cost model • who introduced 'Scientific Management' that the efficiency and utilization of labor, material and equipment began to be measured against 'one best way of doing work’: Total Cost= Fixed Cost + Variable Cost Fixed Cost=Overhead; Variable Cost=Material Cost + Labor Cost Microeconomics of Firm • The classical microeconomic concepts deal with the theory of firm in pursuit of maximizing its profits and the theory of consumer behavior during maximization of satisfaction • Although the classical microeconomic theory provides a much needed firm foundation, cost models have not resulted from the theory because it is difficult to establish a production function in practice.
  • 38. RECENT DEVELOPMENTS Macro- and Micro- economic Models • The Taylor tool life relationship and its subsequent refinements mentioned above treated speed or feed or depth of cut one variable at a time during the determination of the time and cost optima. • variables simultaneously leading to a truer optima for machining tinie and cost; this culminated in the form of cutting Rate-Tool Life-Functions (R-T-F) which describe the basic trade-off between tool life and cutting rate and consequently, machining time and cost.
  • 39. Economic Models for New Process Development • Traditionally, the economics of new process development is investigated only after the technological feasibility of the process has been established and in most cases. • The introduction of the conditions for economic feasibility of a process provided a measure of how much improvement is necessary and sufficient to justify investment in the new process and the desirable working regions where the process should prove economically feasible, while the technological feasibility is being established.
  • 40. The necessary condition of economic feasibility • states that the cost savings and the value of time savings by switching to the new process should be greater than zero. Δ cc+ Δ tc(oc) > 0 where tc = [(Vr) + (v+va)/R + (v/RT)td cc = [(l/r) + (v+va)/R + (v/RT)td]Cr + (v/RT)Y Δ tC=tC-td ; Δ ==cc-cd tc=time per cut (oc)=opponunity cost (money/hour) cc=cost per cut (money/cut) l=rapid traverse distance Y=tool cost per usage (money/usage); Cs V=cutting speed (distance/time); v D=depth of cut (AD=Axial; RD=Radial); a. R=cutting rate (volume/time); CIRP equi., 2 td=tool indedchange time (time); Is..
  • 41. The necessary condition of economic feasibility • The time saved at a processing unit can be utilized for processing additional parts of the same kind or of a different kind, and hence, the opportunity cost (oc) of time savings is recognize by valuing these savings at the rate it costs to farm out work done by the machine. • The above equations apply to the individual cut or a sequence of cuts within a single setup on a machine tool, and, hence, these equations are called micro-economic models.
  • 42. The necessary condition of economic feasibility • Since a corporation exists in a competitive environment, the frame work for a life cycle economic model must start from the competitive strategy that a corporation must employ. • Often employed successful strategy emphasizes capturing a desired portion of the market share by the timely introduction of a product with features and quality desired by the potential users at a competitive price.
  • 43. COST AND SHARE • A target cost is determined by subtracting the desired profit from the competitive price. • By concurrently designing the products, processes, and systems that can be continually improved, the actual cost is brought closer and closer to the target cost. • Many Japanese companies are known to sacrifice initial profitability to gain the desired portion of the market share and subsequently harvest profits as volume increases with the increase in market share.
  • 44. RISK AND OPPORTUNITY COST • On the other hand, the actual cost of the product must include not only the cost of materials, labor, consumables, and all support functions, but also, the potential penalty costs resulting from the environmental risks while the product is being manufactured, stored, in use, disposed or recycled. • There are also potential opportunity costs, which allow advantageous positions to be secured by timely competitive actions, including environmental and ecological responsiveness, which must be recognized.
  • 45. LIFE CYCLE ECONOMIC MODEL • Therefore, the life cycle economic model must take the following form: (Actual Costs + Penalty Costs - Opportunity Costs) ≥ Target Cost • Implicit in the costs is the question of timing. Timing can be deployed only if the strategies are correctly formulated, the necessary resources deployed, and the logistics executed so as to achieve competitive introduction of the product: (Actual Time-to-Market + Penalty Lags - Opportunity Leads) ≥ Target Timing
  • 46. HINTS • It is well known that over 80% of the costs of a product are committed before a first production run is made. • The opportunities for influencing the costs are few once the production begins. • The more successful the concurrent engineering process is the larger the portion of costs that will be committed prior to the production run.
  • 47. Economic Justification of Advanced Manufacturing Technology
  • 48. Advanced Manufacturing Technology(AMT) Technologies for increasing competitiveness of manufacturing firms.
  • 50. AMT Justification Organizational decision making analysis Justification of the proposal Economic analysis Strategic analysis
  • 51. Framework for the financial justification of AMT Level Ι DCF analysis with refinements NPV=V1 Level ΙΙ Value of flexibilities mathematical programming models PV=V2 Level ΙΙΙ Value of time series linkages learning curve models PV=V3 Level ΙV Residual strategic benefits qualitative analysis V1≥0 Gap G1=V1 V2≥G2 Gap G2=G1-V2 V3≥G2 Gap G3=G2-V3 Benefits <G3 Benefits ≥G3 Economically not OK Economically justified
  • 52. Level 1 Analyze the easily quantifiable costs and costs using the traditional discounted cash flow(DCF) models. Examine the limitations of the traditional DCF analysis and discuss some refinements.
  • 53. Mechanics of the DCF analysis Assumption of the status quo of the current cash flows Terminal Value of the project Treatment of inflation
  • 54. Level 2 a stochastic mathematical programming model to quantify the strategic benefits such as flexibility and quality Analysis at Level2 becomes necessary if the Level1 analysis results in a negative NPV.
  • 55. Level 3 Quantify the benefits of the time series linkages between the project currently being justified and a related future project using a learning curve model
  • 56. Level 4 A qualitative assessment of the benefits which were not included in the evaluation at the first three levels.