Project Costing and Finance (DUT Module) Exam Prep Notes

Project Costing and Finance is a core topic in project management curricula at the Durban University of Technology (DUT), especially for students doing modules aligned with project planning, budgeting, cost control, financial evaluation, and risk-aware decision-making. A strong exam performance depends not only on remembering formulas, but on understanding how costing information flows into budgeting, how finance informs feasibility, and how cost variance analysis guides corrective actions. These study notes are structured to mirror how exam questions in South African universities (including DUT-style applied problems) typically test conceptual understanding plus step-by-step calculations.

Section 1: Fundamentals of Project Costing and the Cost Model for Exam Calculations (DUT Project Costing & Budgeting)

Project costing is the process of estimating, aggregating, and controlling costs throughout a project’s life cycle. In an exam context, you are expected to (1) identify the relevant cost types and cost behaviours, (2) build a basic cost model for a project, and (3) explain how the budget links to the project schedule and work packages.

Core meaning of “project cost” and why it matters

A project cost is the total value of resources consumed or committed to deliver project outputs (deliverables, milestones, or outcomes). In finance terms, project cost is not only “what you spend,” but also “what it costs to use capital” and “what you forgo” (opportunity cost). However, most DUT module exam problems focus first on operational costing: labour, materials, equipment, subcontractors, overheads, and contingency.

A key exam concept is that project costing must reflect work scope. If you fail to map cost items to activities (or work packages), your “budget” becomes unrealistic, and your later variance analysis (Actual Cost vs Budget) becomes meaningless.

Cost classification: direct vs indirect and fixed vs variable

Exams commonly test whether you can classify costs correctly. Use the following framework.

1) Direct costs (usually traceable to a cost object)

Direct labour (e.g., technicians assembling components)
Direct materials (e.g., cement, steel, electrical components)
Equipment usage attributable to the activity
Subcontractor costs tied to deliverables

2) Indirect costs (allocated, not directly traceable)

Site supervision overhead
Admin/office costs
Utilities and security overhead
Depreciation of shared facilities
General management overhead

3) Fixed costs (constant over a relevant range)

Rent for site premises (if fixed)
Salaried staff not varying with volume
Insurance premiums
Fixed lease payments

4) Variable costs (change with activity level)

Materials that scale with quantity installed
Overtime costs that vary with hours worked
Fuel/equipment consumables based on machine-hours

Exam tip: When you see wording like “per unit,” “per metre,” “per hour,” treat it as variable. When you see “monthly salary,” “lease,” “insurance,” treat it as fixed.

The typical cost estimation hierarchy: from rough order to detailed estimates

Project costing evolves. A good exam answer shows the logic of increasing estimate accuracy:

Rough Order of Magnitude (ROM)
Used early when scope is uncertain; often based on historical benchmarks.
Budgetary estimate
Based on preliminary designs; suitable for funding request.
Definitive estimate
Based on detailed work packages, quantities, specifications.
Control estimate (cost baseline)
Finalised for controlling performance during execution.

In DUT-style applied questions, you often see a scenario like:

“We have an initial estimate; later we have updated quantities and labour rates. Build the budget and compute the total cost.”

Building a basic project cost model (with a worked example)

Consider a hypothetical DUT student case aligned with practical project management planning:

Project: Installation of a small solar power system

Duration planned: 6 weeks
Work packages:
1. Site preparation
2. Component installation
3. Electrical connection
4. Testing and commissioning

Assume the following cost data:

Work Package	Labour Hours	Labour Rate (ZAR/hour)	Materials (ZAR)	Subcontractor (ZAR)	Equipment (ZAR)
Site preparation	120	350	6,000	0	1,200
Component installation	180	350	18,000	0	2,000
Electrical connection	140	350	10,000	12,000	1,500
Testing & commissioning	60	350	2,500	4,000	800

Step 1: Compute labour cost per work package

Site preparation labour = 120 × 350 = 42,000
Component installation labour = 180 × 350 = 63,000
Electrical connection labour = 140 × 350 = 49,000
Testing & commissioning labour = 60 × 350 = 21,000

Step 2: Compute total cost per work package

Site prep total = 42,000 + 6,000 + 0 + 1,200 = 49,200
Component install total = 63,000 + 18,000 + 0 + 2,000 = 83,000
Electrical connection total = 49,000 + 10,000 + 12,000 + 1,500 = 72,500
Testing & commissioning total = 21,000 + 2,500 + 4,000 + 800 = 28,300

Step 3: Sum to obtain direct project cost
Direct total = 49,200 + 83,000 + 72,500 + 28,300 = 233,000

Adding overheads and contingency: the exam-friendly budget build

Most exam problems require adding overhead and contingency to convert from direct costs to a project cost baseline.

Assume:

Overheads = 10% of direct costs
Contingency reserve = 8% of (direct costs + overheads)
Taxes are ignored for simplicity (if a question includes VAT, you must follow the question wording).

Overhead calculation
Overhead = 10% × 233,000 = 23,300

Subtotal before contingency
233,000 + 23,300 = 256,300

Contingency reserve
Contingency = 8% × 256,300 = 0.08 × 256,300 = 20,504

Total project cost baseline
256,300 + 20,504 = 276,804

If an exam asks for “total budget including contingency,” that final figure (ZAR 276,804) is what you report.

Linking budget to schedule: why the timing of costs can appear in exams

Some problems extend beyond totaling costs by requiring time-phased budgets (cash flow). The idea: you budget not only how much, but when spending happens.

Example approach:

If Site preparation takes 2 weeks and you assign costs across weeks based on labour hours or milestone progress, you create a time-phased cash plan.
If equipment rental is paid weekly, then equipment costs appear in specific weeks.

Simple method for exams
If you’re given proportional completion by work package:

Allocate each work package cost across project weeks using the fraction of progress.

For example, if Electrical connection (72,500) is planned with 50% completion in week 4 and 50% in week 5, then:

Week 4 cost = 0.5 × 72,500 = 36,250
Week 5 cost = 36,250

Cost baseline vs budget vs forecast: exam clarity

DUT exam questions can blur terms. Keep them clear:

Budget: approved cost plan for the work (may include overhead/contingency depending on how the course defines it).
Cost baseline: approved time-phased budget used as the reference for measuring performance.
Forecast: predicted total cost at completion based on current performance and trends.

A high-mark answer distinguishes:

Baseline = “what we planned.”
Forecast = “what we expect now.”

Section 2: Project Budgeting, Cost Control, and Variance Analysis (Earned Value, CV/SV) for DUT-Style Exam Questions

Cost control is the process of monitoring and comparing actual performance against the cost baseline and taking corrective action. In many South African project management modules, especially those aligned with project costing and finance, Earned Value Management (EVM) is central for quantitative exam questions.

The logic of cost performance measurement

Project performance is multidimensional:

Schedule performance: are we doing the work on time?
Cost performance: are we spending money efficiently for the work completed?

Traditional controls like “variance = actual − budget” can be misleading because they ignore work progress. EVM solves this by incorporating scope progress.

Earned Value Management (EVM): EV, PV, AC

EVM uses three main values:

PV (Planned Value)
The budgeted cost of work planned for a given time.
EV (Earned Value)
The budgeted cost of work actually performed (earned by progress).
AC (Actual Cost)
The real costs incurred for the work performed.

From these, compute:

Cost Variance (CV) = EV − AC
- CV > 0: cost under budget (good)
- CV < 0: over budget (bad)
Schedule Variance (SV) = EV − PV
- SV > 0: ahead of schedule (earned more value than planned)
- SV < 0: behind schedule
Cost Performance Index (CPI) = EV / AC
- CPI > 1: efficient cost performance
- CPI < 1: inefficient
Schedule Performance Index (SPI) = EV / PV
- SPI > 1: efficient schedule performance

Worked EVM example with full calculations

Use a scenario suitable for an exam:

Project: Upgrade of a campus computer lab

Total planned budget (BAC): ZAR 500,000
Time-phased plan: by week 6, PV = ZAR 280,000
Actual work completed by week 6 corresponds to EV = ZAR 240,000
Actual costs incurred to date AC = ZAR 270,000

Now compute:

Cost Variance (CV)
CV = EV − AC = 240,000 − 270,000 = −30,000

Schedule Variance (SV)
SV = EV − PV = 240,000 − 280,000 = −40,000

CPI
CPI = EV / AC = 240,000 / 270,000 = 0.8889 (approx. 0.89)

SPI
SPI = EV / PV = 240,000 / 280,000 = 0.8571 (approx. 0.86)

Interpretation

CPI = 0.89 means: for every rand spent, only 0.89 rand of value is earned—cost performance is poor.
SPI = 0.86 means: less work is completed than planned—schedule performance is behind.

A strong exam response adds:
Possible reasons for CPI<1 and SPI<1 could be rework, inefficient procurement, delays in labour availability, or scope creep not matched by budget.

Forecasting with EVM: ETC and EAC (exam essentials)

EVM not only diagnoses variances; it also forecasts the final cost.

Common formulas:

Estimate to Complete (ETC) depends on assumed future performance trend.
Estimate at Completion (EAC) is the predicted total cost.

A standard exam assumption is “same CPI for the remainder.” If CPI is used:

EAC = BAC / CPI
Given:
BAC = 500,000
CPI = 0.8889

EAC = 500,000 / 0.8889 ≈ 562,500 (approx.)

So the forecast suggests the project may end at about ZAR 562,500, exceeding BAC by ZAR 62,500.

If the exam uses a different assumption (e.g., “future performance will match planned costs,” or “ETC uses remaining budget”), follow the exact formula requested.

Budget at Completion (BAC) and how it connects to control

BAC is the total planned budget for the project scope. In EVM:

PV grows over time as planned work progresses.
EV grows as work is completed.
AC grows as spending occurs.

If a question gives a BAC, and PV/EV/AC at some date, you can always compute:

CV, SV, CPI, SPI, and often EAC using CPI.

Cost control processes: what exam answers should include

Quantitative calculations get marks, but qualitative explanation also matters. Typical cost control activities include:

Monitor actual costs
- Use invoices, timesheets, purchase orders, payroll systems.
Measure earned value
- Use progress measurement rules (milestones, % complete, unit method).
Compare with baseline
- Compute CV/SV or simple budget variance.
Analyse causes
- Identify root causes: pricing changes, inefficiencies, rework, delay impacts.
Update forecasts
- Revise ETC/EAC based on new information.
Implement corrective actions
- Re-plan resources, renegotiate supplier contracts, adjust sequencing, or request change control.

Example of “incorrect variance reasoning” (common exam trap)

A common trap is to use only AC − PV and claim everything is fine. Example:

PV = 280,000
AC = 270,000
So AC − PV = −10,000 suggests “under budget.”

But if EV = 240,000:

The project is not only under budget compared to plan spending—it has also earned less value than planned (behind schedule).
The correct cost variance CV = EV − AC = −30,000 indicates over budget for the work actually done.

Therefore, the exam expects that you emphasize:

AC vs PV is schedule spending comparison, not cost performance.
EV vs AC (CV) measures cost efficiency for earned work.

Progress measurement rules: why they can affect EV

EVM depends heavily on how progress is measured. Common rules:

Milestone method
Assign earned value when a milestone is completed (e.g., “foundation completed”).
% complete method
Estimate percent completion for a task (e.g., 40% complete).
Unit method
Earn value based on quantity completed (e.g., metres of cable installed).

In exams, if a question gives progress percentages, you should reflect that those percentages determine EV.

Section 3: Time Value of Money and Project Finance Techniques (NPV, IRR, Payback) for Project Costing & Finance Exam Prep

Project costing does not end with building a budget. Finance evaluates whether the project’s benefits justify the cost and the time pattern of cash flows. Many DUT exam questions blend project costing with financial evaluation, testing your ability to compute and interpret Net Present Value (NPV), Internal Rate of Return (IRR), and payback.

Cash flow basics: timing is everything

Financial metrics assume:

Cash flows occur at specific times (e.g., end of each year).
Future cash flows are discounted to present value using a discount rate (often the cost of capital).

If the exam gives a year-by-year cash flow table, you must treat timing carefully:

A cash inflow in Year 1 is discounted once.
A cash inflow in Year 2 is discounted twice, etc.

Present value (PV) and discount factor

Basic discounting:

PV = FV / (1 + r)^t

Where:

FV = future cash flow
r = discount rate (e.g., 12%)
t = year number (e.g., 1, 2, 3…)

Example (single cash flow)
If a project expects ZAR 50,000 in 3 years, at r = 12%:

PV = 50,000 / (1.12)^3
(1.12)^3 = 1.404928
PV ≈ 50,000 / 1.404928 ≈ 35,600 (approx.)

Net Present Value (NPV): definition and decision rule

NPV = Present value of inflows − Present value of outflows

Decision rule (typical):

If NPV > 0, accept the project (benefits exceed costs at the discount rate).
If NPV < 0, reject.

Worked NPV example aligned to project costs and benefits

Assume a project with:

Initial investment at Year 0: ZAR 300,000 (outflow)
Net cash inflows:
- Year 1: 90,000
- Year 2: 110,000
- Year 3: 130,000
Discount rate r = 10%

Compute PV of each inflow:

Year 1
PV1 = 90,000 / 1.1 = 81,818.18

Year 2
PV2 = 110,000 / (1.1)^2 = 110,000 / 1.21 = 90,909.09

Year 3
PV3 = 130,000 / (1.1)^3 = 130,000 / 1.331 = 97,650.27 (approx.)

Sum PV inflows:
PV inflows ≈ 81,818.18 + 90,909.09 + 97,650.27 = 270,377.54

NPV = PV inflows − initial outflow
NPV = 270,377.54 − 300,000 = −29,622.46

Interpretation
NPV is negative; at 10% discount rate, the project does not meet the required return threshold.

Payback period: simpler but less complete

Payback period is the time needed to recover the initial investment from net cash inflows.

If cash inflows are uneven, you often calculate by cumulative totals until you pass the initial investment.

Using the same example:

Year 0 outflow: 300,000
Cumulative inflows:
- End of Year 1: 90,000
- End of Year 2: 90,000 + 110,000 = 200,000
- End of Year 3: 330,000 (exceeds 300,000)

So payback occurs during Year 3.

Amount needed after Year 2:
300,000 − 200,000 = 100,000

Year 3 inflow = 130,000
Fraction of Year 3 needed = 100,000 / 130,000 = 0.7692

Payback ≈ 2 + 0.7692 = 2.77 years

Exams usually ask:

“Calculate payback period” and “explain its limitation.”

Limitations:

It ignores cash flows after the payback point.
It ignores the time value of money unless “discounted payback” is requested.

IRR (Internal Rate of Return): when NPV becomes zero

IRR is the discount rate r* that makes NPV = 0.

For the NPV equation:
0 = −300,000 + 90,000/(1+r) + 110,000/(1+r)^2 + 130,000/(1+r)^3

In many exam contexts, you may need:

A calculator/financial table method, or
Trial-and-error with approximate discount rates.

How to do trial-and-error quickly in exams

Compute NPV at r = 10% (we already found NPV ≈ −29,622).
Try a lower discount rate (e.g., 8%) because lower discount increases PV inflows, raising NPV.
Try a higher rate (e.g., 12%) because higher discount lowers PV inflows, making NPV more negative.
Narrow down to the IRR range.

Let’s estimate at r = 8%:

Discount factors:

1.08 = 1.08
1.08^2 = 1.1664
1.08^3 = 1.259712

PV inflows:

PV1 = 90,000 / 1.08 = 83,333.33
PV2 = 110,000 / 1.1664 ≈ 94,318.18
PV3 = 130,000 / 1.259712 ≈ 103,210.23

Sum = 83,333.33 + 94,318.18 + 103,210.23 = 280,861.74

NPV = 280,861.74 − 300,000 = −19,138.26 (still negative)

Now try r = 6%:

1.06^2 = 1.1236
1.06^3 = 1.191016

PV inflows:

PV1 = 90,000 / 1.06 = 84,905.66
PV2 = 110,000 / 1.1236 ≈ 97,910.45
PV3 = 130,000 / 1.191016 ≈ 109,143.78

Sum = 84,905.66 + 97,910.45 + 109,143.78 = 291,959.89

NPV = 291,959.89 − 300,000 = −8,040.11 (still negative)

Try r = 4%:

1.04^2 = 1.0816
1.04^3 = 1.124864

PV inflows:

PV1 = 90,000 / 1.04 = 86,538.46
PV2 = 110,000 / 1.0816 ≈ 101,680.30
PV3 = 130,000 / 1.124864 ≈ 115,598.00

Sum = 86,538.46 + 101,680.30 + 115,598.00 = 303,816.76

NPV = 303,816.76 − 300,000 = +3,816.76 (positive)

So IRR is between 4% and 6%. A rough interpolation:

At 4%: +3,816.76
At 6%: −8,040.11
Total range = 2% and NPV changes by 11,856.87 across 2%.

Linear interpolation to zero:
Fraction from 4% to IRR = 3,816.76 / (3,816.76 + 8,040.11) = 3,816.76 / 11,856.87 ≈ 0.322

IRR ≈ 4% + 0.322 × 2% = 4.64% (approx.)

In exam answers, this level of approximation is often sufficient if exact IRR is not required.

Interpreting financial metrics in relation to cost risk

A project can have:

A positive NPV at a certain discount rate but high sensitivity to risk.
An IRR just above the required return but with uncertain cash inflows.

Therefore, financial metrics should be interpreted alongside:

Cost escalation risk (materials/labour cost increases)
Schedule risk (delayed revenue)
Demand risk (lower than expected cash inflows)

A good exam response includes a short qualitative link:

EVM and cost variance address operational cost performance.
NPV/IRR address whether overall cash flows justify investment considering time value of money.

Section 4: Risk-Adjusted Costing, Contingencies, and Funding Structures in Project Finance (DUT Finance for Projects)

Exams often test your ability to handle uncertainty. “Contingency” is the direct link between risk and project costing. Meanwhile, “funding structure” addresses how the project is financed and how that financing cost (discount rate, interest, opportunity cost) affects project evaluation.

Contingency vs escalation: not the same thing

In project cost budgeting, you may see:

Contingency reserve
Money set aside for identifiable risks and uncertainty in estimating costs.
Escalation (price escalation allowance)
Provision for expected changes in prices over time (inflation, labour rate increases, commodity price changes).

A key point for exams:

Contingency is about uncertainty beyond base estimate assumptions.
Escalation is about expected changes that are forecastable.

If a question asks for “contingency,” use the given contingency percentage, not an escalation index (unless the question explicitly adds escalation separately).

Risk categories and how they influence the costing approach

Common risk categories:

Cost risks
- Supplier price increases
- Labour productivity shortfalls
- Rework due to quality issues
Schedule risks
- Delays in approvals
- Weather impacts on construction
Technical risks
- Design changes
- Equipment underperformance
External risks
- Regulatory delays
- Community impact

Exam link: Risks that affect cost should increase contingency or revise estimates; risks that affect time affect cash flow and may reduce NPV by delaying inflows or increasing overhead.

Sensitivity analysis: an exam favourite

Sensitivity analysis tests how NPV changes if key variables change (e.g., cash inflows, discount rate, cost estimate).

If you’ve computed NPV at r = 10% as −29,622.46 in the earlier example, you can test a variable.

Example sensitivity: increase Year 2 inflow
Suppose Year 2 inflow rises from 110,000 to 120,000 (increase of 10,000). The additional PV at Year 2 using 10% discount:

Incremental PV = 10,000 / 1.1^2 = 10,000 / 1.21 = 8,264.46

Revised NPV = −29,622.46 + 8,264.46 = −21,358.00 (approx.)

So NPV becomes less negative but remains negative.

In exam terms:

If NPV is sensitive to inflow assumptions, you should prioritize risk mitigation on those cash drivers.
If NPV is robust, the project is less risky financially.

Financing cost of capital: linking to discount rate

In project evaluation:

The discount rate often reflects the opportunity cost of capital or weighted average cost of capital (WACC).
If the project is financed by loans, interest affects cash flows; if financed by equity, the required return is linked to risk.

In simplified exams:

They give you a discount rate directly (e.g., 10% or 12%).
Your job is to use it consistently across all PV calculations.

Funding structures: debt vs equity and risk implications

A project might be funded with a mix of:

Debt: bank loan, bonds. Pros: tax shields; cons: repayment obligations and interest rate risk.
Equity: investor capital. Pros: no required repayments; cons: investors expect higher returns.

In exam writing, you do not need deep capital structure modelling, but you should connect:

Higher debt increases financial risk.
Higher risk increases required return/discount rate, reducing NPV if cash flows are fixed.

Controlling cost escalation with indices (how it appears in exams)

Some questions give:

Base cost at time 0
Expected escalation rate (e.g., 6% per year)
Project spans multiple years

If equipment is purchased in year 2, you may need to escalate the base cost:

Escalated cost = base cost × (1 + g)^t

For example, if base material cost is 50,000 at time 0 and escalation g = 6%, purchase in year 2:

Escalated = 50,000 × 1.06^2
1.06^2 = 1.1236
Escalated ≈ 50,000 × 1.1236 = 56,180

If the exam instead provides escalation as an allowance percentage integrated into the budget, follow that structure rather than re-escalating.

Risk response strategies: mitigation, contingency release, and governance

Costing and finance should align with risk response:

Mitigation: improve processes to reduce probability of cost overruns
- Procurement planning
- Quality assurance to reduce rework
- Contractor performance monitoring
Contingency governance
- Contingency isn’t “free money.”
- Release should follow change control and evidence.
Insurance
- For external risks like property damage.
Contractual risk transfer
- Fixed-price contracts transfer cost risk to contractors (but may increase price).

In a written exam question, you might be asked:

“Explain how you would manage a cost overrun risk.”
A high-quality answer mentions:
early warning indicators,
variance thresholds,
escalation/contingency rules,
and corrective action steps.

Section 5: Integrated Exam Practice—From Cost Estimation to Budget Baseline to EVM and Financial Feasibility (DUT Project Costing & Finance Synthesis)

This final section provides integrated exam-style practice that combines:

costing estimation,
budget baseline creation,
earned value variance analysis,
and financial evaluation using NPV/IRR logic.

Integrated questions are where students lose marks if they treat topics separately. The correct approach is to show that the project management “cost baseline” feeds operational control (EVM), while the financial analysis evaluates overall investment viability (NPV/IRR).

Full integrated worked scenario: budgeting, EVM, and NPV

Scenario: Community water project

A municipality plans a project to upgrade the water filtration system.

You have:

Planned direct work budget computed from work packages and hours.
Overhead and contingency added for the cost baseline.
Benefits (cash inflows) come from service cost savings and reduced operational losses.
Discount rate is given for NPV.

Step A: Cost baseline from work packages
Use the earlier solar installation cost baseline as a template of methodology, but we will keep the project’s numbers consistent within this section.

Assume the following total costs were calculated:

Direct costs: ZAR 233,000
Overhead: 10% of direct = ZAR 23,300
Subtotal = 233,000 + 23,300 = ZAR 256,300
Contingency = 8% of 256,300 = ZAR 20,504
Total cost baseline (including contingency) = ZAR 276,804

So BAC (Budget at Completion) for operational scope monitoring is often set to the total baseline cost. For the EVM part, we treat BAC = 276,804.

Step B: EVM at a specific reporting date

At week 3 (midpoint reporting), you are given:

PV (Planned Value) at week 3: ZAR 138,000
EV (Earned Value) at week 3 based on progress: ZAR 120,000
AC (Actual Cost) incurred by week 3: ZAR 130,000

Compute variances and indices:

CV = EV − AC
CV = 120,000 − 130,000 = −10,000

SV = EV − PV
SV = 120,000 − 138,000 = −18,000

CPI = EV / AC
CPI = 120,000 / 130,000 = 0.9231 (approx.)

SPI = EV / PV
SPI = 120,000 / 138,000 = 0.8696 (approx.)

Interpretation

CV negative: over budget for work performed (spending too much relative to earned value).
SV negative: behind schedule (less value earned than planned).
CPI below 1: inefficient cost performance.
SPI below 1: schedule is slipping.

Step C: Forecasting EAC using CPI assumption

Assume future cost performance continues at the current CPI and future schedule effects are captured only through cash timing rather than cost efficiency. Then:

EAC = BAC / CPI
BAC = 276,804
CPI ≈ 0.9231

EAC ≈ 276,804 / 0.9231 ≈ 299,700 (approx.)

So the forecast cost at completion is about ZAR 299,700, implying a potential overrun:
Overrun forecast ≈ 299,700 − 276,804 = ZAR 22,896

A high-mark exam answer then links this to likely causes:

inefficient labour productivity,
rework,
delayed procurement causing standby costs,
or scope changes not captured.

Step D: Financial evaluation using NPV

Now evaluate whether the project is worth investing financially. Assume:

Discount rate r = 10%
Initial cost outflow occurs at Year 0 equal to the planned total baseline at time of investment decision. For consistency with the cost baseline concept, use ZAR 276,804 as Year 0 outflow.
Net cash inflows from service savings start Year 1 through Year 3:
- Year 1 inflow: ZAR 100,000
- Year 2 inflow: ZAR 110,000
- Year 3 inflow: ZAR 120,000

Compute NPV:

PV inflows:

PV1 = 100,000 / 1.1 = 90,909.09
PV2 = 110,000 / 1.21 = 90,909.09
PV3 = 120,000 / 1.331 = 90,165.41 (approx.)

Sum PV inflows ≈ 90,909.09 + 90,909.09 + 90,165.41 = 271,983.59

NPV = PV inflows − initial outflow
NPV = 271,983.59 − 276,804 = −4,820.41 (approx.)

Financial interpretation
NPV is slightly negative at 10% discount rate, suggesting:

under current assumptions, the project barely fails the required return threshold,
and small improvements in cash inflows or cost reductions could flip it to positive.

Step E: How operational EVM findings should influence financial decisions

Your EVM forecast indicates potential cost overrun (EAC ≈ 299,700). If costs rise, effective cash outflows increase, reducing NPV further.

A correct exam narrative might include:

Operational inefficiency (CPI < 1) threatens the financial viability.
Therefore, corrective action should prioritize cost drivers that most influence cash flows and total cost.
If you mitigate overrun, NPV could move closer to zero or positive.

Key exam scoring principle: You should connect EVM diagnosis to finance implications logically, even if the exam does not require recalculating NPV with the updated forecast.

Common exam question patterns and how to answer them

Pattern 1: “Compute total project cost”

What to show:

Direct costs calculation (labour + materials + equipment + subcontractors)
Add overhead
Add contingency
Produce total baseline

Pattern 2: “Use EVM to compute CV/SV and interpret”

What to show:

Identify PV, EV, AC from the question
Compute CV and SV, CPI and SPI
Interpret each index/variance
Mention likely corrective actions

Pattern 3: “Calculate NPV and advise”

What to show:

Discount each inflow correctly to present value
Sum PV inflows and subtract initial outflow
Provide decision rule (NPV sign)
Give one or two sensitivity/risk remarks if asked

Pattern 4: “Discuss contingency and escalation”

What to show:

Distinguish contingency vs escalation
Provide at least two examples of each
Explain why contingency release should be governed

Quick calculation toolbox (write these in your exam brain)

Cost baseline

Direct = labour + materials + equipment + subcontractors
Overhead = direct × overhead %
Subtotal = direct + overhead
Contingency = subtotal × contingency %
Total baseline = subtotal + contingency

EVM

CV = EV − AC
SV = EV − PV
CPI = EV / AC
SPI = EV / PV
EAC (simple) = BAC / CPI (if future CPI assumed constant)

NPV

PV of each inflow = CF_t / (1 + r)^t
NPV = ΣPV(inflows) − initial outflow

High-scoring written answers: structure you can repeat

When the exam includes discussion questions (not only calculations), use this structure:

Define the concept (1–2 sentences)
State the purpose (why it’s used in projects)
Give a process (steps or how it is done)
Give an interpretation or decision rule
Mention at least one risk/control action

Example: “Explain how you would respond to negative cost variance.”
A strong answer:

define CV negative means costs are higher than earned value,
state possible causes (inefficiency, rework, over-ordering),
recommend corrective action (resource reallocation, vendor renegotiation, change control),
and mention updating forecast.

Tailoring to DUT-style exam expectations (without guessing the syllabus text)

DUT project management exam papers typically reward:

correct identification of quantities (PV/EV/AC, inflows/discount factors),
careful arithmetic,
clear interpretation in words,
and consistent use of project context (scope, baseline, cash flow timing).

To prepare, practice converting scenario wording into your chosen variables:

“Planned by week X” → PV
“Work completed” → EV
“Spent so far” → AC
“Discount rate” → use in PV calculations
“Initial investment” → subtract as Year 0 outflow

University Course Relevance and Keyword Alignment for DUT and South African Exam Preparation

Because South African students often search using actual module codes and course keywords from university syllabi, exam prep should align with common terms used in Project Management, Financial Management, and Costing sections across institutions. At DUT, where Project Management study materials are used in modules focusing on budgeting, cost control, and project finance, these notes reflect typical question phrasing such as:

“Project costing and budgeting” (cost baseline, contingency, time-phased budgeting)
“Cost control using earned value” (CV, SV, CPI, SPI, forecasting EAC)
“Project finance evaluation” (NPV, IRR, payback period)
“Risk and contingency management” (contingency vs escalation; risk response)
“Time value of money” (discounting cash flows; present value)

Students at DUT often cross-reference learning resources from other South African universities (e.g., Unisa and CUT) that use similar financial evaluation and costing language, including terms like cash flow discounting, cost variance analysis, and earned value interpretation. While each university labels modules differently, the calculation logic remains the same in standard project management finance questions.

Final Revision Checklist (Turn These into Last-Minute Exam Steps)

Before you submit your exam scripts, run this checklist:

Units and currency
Are all costs in the same currency (e.g., ZAR) and in consistent time periods?
Cost baseline components
Did you include overhead and contingency if required by the question?
EVM variable matching
Did you correctly assign PV, EV, AC based on wording?
Variance signs and interpretation
Did you interpret CV and SV correctly (negative vs positive)?
Discounting correctness
Did you discount each cash inflow using the correct year exponent?
Decision rule clarity
Did you state what NPV sign implies, or what CPI/SPI indicates?
Consistency across parts
If the question ties costing to finance, did you logically connect operational overrun risk to reduced NPV/EAC outcomes?

These are the exact points that typically distinguish a “pass with correct formulas” from a “high mark with correct reasoning and clean presentation.”