9.2 Earned Value Management (EVM) & Project Control

Earned Value Management (EVM) & Project Control

Traditional financial reporting monitors capital expenditure by comparing actual costs incurred against phased financial budget disbursements. In strategic management accounting, this conventional approach is recognized as fundamentally defective: comparing actual expenditure solely against budgeted expenditure creates a dangerous blind spot regarding physical work delivered.

For example, if an enterprise has spent $600,000 against a Year-to-Date budget of $800,000, a traditional accounting report displays an apparently "favorable" variance of $200,000. However, if the project has accomplished only $300,000 worth of actual deliverables, the project is severely delayed and experiencing massive cost overruns. Earned Value Management (EVM) resolves this distortion by integrating scope, schedule, and cost into a unified Performance Measurement Baseline (PMB).

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The Core EVM Building Blocks

Percent-complete figures must reflect the approved budget-weighted scope, rather than an unweighted count of tasks. Apply a consistent earned-value measurement method and recognise incurred costs, including accruals, so uninvoiced work does not falsely improve CPI.

All EVM performance diagnostics originate from three foundational data points and the baseline budget:

1. Budget at Completion ($BAC$): The total approved baseline budget allocated for completing the entire project scope.
2. Planned Value ($PV$) / Budgeted Cost of Work Scheduled ($BCWS$): The authorized budget allocated to scheduled work expected to be completed up to a specific measurement date.

$$PV = \text{Planned \% Complete} \times BAC$$

1. Earned Value ($EV$) / Budgeted Cost of Work Performed ($BCWP$): The budgeted value of work physically and verifiable completed up to the measurement date.

$$EV = \text{Actual \% Complete} \times BAC$$

1. Actual Cost ($AC$) / Actual Cost of Work Performed ($ACWP$): The total direct and allocated costs incurred and recorded on the general ledger in executing the work completed up to the measurement date.

Rules for Crediting Earned Value

To eliminate managerial subjectivity, organizations establish formal rules of credit to compute $EV$:

• 0/100 Rule: No earned value is credited until the work package is 100% complete and verified (appropriate for short-duration tasks under 80 hours).
• 50/50 Rule: 50% of the budget is credited upon task commencement, and the remaining 50% is credited upon formal completion.
• Milestone Gates: Earned value is recognized only upon reaching verified, objective intermediate deliverables (e.g., 20% on design freeze, 50% on prototype assembly, 100% on safety certification).

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Variance Analysis: Schedule Variance and Cost Variance

Variances in EVM express performance deviations in monetary units:

Schedule Variance ($SV$)

$$SV = EV - PV$$

• $SV > 0$ (Positive): Favorable; the project has completed more work than scheduled (ahead of schedule).
• $SV < 0$ (Negative): Unfavorable; the project has delivered less work than scheduled (behind schedule).
• $SV = 0$: Exactly on schedule.

Cost Variance ($CV$)

$$CV = EV - AC$$

• $CV > 0$ (Positive): Favorable; work completed cost less than budgeted (under budget).
• $CV < 0$ (Negative): Unfavorable; work completed cost more than budgeted (over budget).
• $CV = 0$: Exactly on budget.

Notice that in EVM, a negative variance is unfavorable, which reverses some traditional management accounting variance sign conventions.

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Performance Indices: SPI, CPI, and Critical Ratio

Efficiency ratios provide dimensionless indicators that allow comparisons across projects of disparate scales:

Schedule Performance Index ($SPI$)

$$SPI = \frac{EV}{PV}$$

• $SPI > 1.0$: Progressing at a faster rate than planned (e.g., $1.15$ indicates 115% of scheduled progress accomplished per unit time).
• $SPI < 1.0$: Progressing slower than planned ($0.80$ indicates accomplishing only 80 cents of scheduled work per dollar of time).

Cost Performance Index ($CPI$)

$$CPI = \frac{EV}{AC}$$

• $CPI > 1.0$: Performing with superior cost efficiency (e.g., $1.20$ indicates $1.20 of earned value generated per $1.00 spent).
• $CPI < 1.0$: Experiencing cost inefficiency (e.g., $0.85$ indicates $0.85 of value generated per $1.00 spent).

Cumulative CPI provides a useful trend, but its stability and the feasibility of recovery depend on the work remaining. A particular completion percentage or CPI threshold does not establish a universal forecast.

Critical Ratio ($CR$)

$$CR = CPI \times SPI$$

The Critical Ratio provides an aggregate index of overall project health. Review CPI and SPI separately: their product can equal 1.0 even when cost and schedule deviations offset. Escalation thresholds are project-specific; no universal 0.80 emergency rule applies.

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Forecasting Project Completion: EAC, ETC, and VAC

Strategic management accountants use EVM trends to project final project financial outcomes:

Estimate to Complete ($ETC$) and Variance at Completion ($VAC$)

• Estimate to Complete ($ETC$): Expected additional capital outlay required to complete all remaining work:

$$ETC = EAC - AC$$

• Variance at Completion ($VAC$): Projected final budget surplus or overrun:

$$VAC = BAC - EAC$$

($VAC < 0$ denotes a forecasted budget blowout).

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To-Complete Performance Index (TCPI)

The To-Complete Performance Index (TCPI) evaluates the cost efficiency the remaining project team must achieve to hit a specified financial target. It represents the ratio of remaining work to remaining available budget:

TCPI to achieve original budget ($BAC$)

$$TCPI_{BAC} = \frac{\text{Remaining Work}}{\text{Remaining Budget}} = \frac{BAC - EV}{BAC - AC}$$

TCPI to achieve revised forecast ($EAC$)

$$TCPI_{EAC} = \frac{\text{Remaining Work}}{\text{Remaining Revised Budget}} = \frac{BAC - EV}{EAC - AC}$$

Strategic Governance Interpretation

• If $TCPI_{BAC} > 1.0$: Remaining work must earn more budgeted value per dollar than the baseline rate of 1.0. Compare the required rate with the actual CPI to assess the change needed.
• If $TCPI_{BAC} > 1.10$: This may be challenging, but 1.10 is not a universal feasibility boundary. Review the remaining work and a bottom-up forecast. Authorise any baseline change formally and preserve the original baseline and variance history; an EAC forecast does not automatically change BAC.

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Corporate Application: Queensland Health Systems Ltd

Queensland Health Systems Ltd is undertaking Project Horizon—a 12-month, $2,400,000 digital patient record transformation (baseline spend linear at $200,000 per month). At the end of Month 6, the strategic management accountant conducted an EVM audit and compiled the following data:

• Baseline budget: BAC = $2,400,000.
• Scheduled progress at Month 6: 50% (PV = 0.50 × $2,400,000 = $1,200,000).
• Verified deliverables complete: 40% (EV = 0.40 × $2,400,000 = $960,000).
• Actual costs recorded on ledger: AC = $1,120,000.

Core Metric Calculations

$$\text{Schedule Variance: } SV = EV - PV = \text{\textdollar}960,000 - \text{\textdollar}1,200,000 = -\text{\textdollar}240,000\text{ (Behind Schedule)}$$ $$\text{Cost Variance: } CV = EV - AC = \text{\textdollar}960,000 - \text{\textdollar}1,120,000 = -\text{\textdollar}160,000\text{ (Over Budget)}$$ $$\text{Schedule Performance Index: } SPI = \frac{EV}{PV} = \frac{\text{\textdollar}960,000}{\text{\textdollar}1,200,000} = 0.80$$ $$\text{Cost Performance Index: } CPI = \frac{EV}{AC} = \frac{\text{\textdollar}960,000}{\text{\textdollar}1,120,000} \approx 0.8571$$ $$\text{Critical Ratio: } CR = CPI \times SPI = 0.8571 \times 0.80 \approx 0.6857$$

Operational Interpretation: The project is accomplishing only 80% of scheduled progress per month and generating only 85.71 cents of verified deliverable value for every dollar expended. The Critical Ratio of 0.6857 signals severe program distress.

Completion Forecasting

1. Forecast 1 (Typical Performance Continues):

$$EAC_1 = \frac{BAC}{CPI} = \frac{\text{\textdollar}2,400,000}{0.857143} = \text{\textdollar}2,800,000$$ $$VAC_1 = BAC - EAC_1 = \text{\textdollar}2,400,000 - \text{\textdollar}2,800,000 = -\text{\textdollar}400,000\text{ overrun}$$ $$ETC_1 = EAC_1 - AC = \text{\textdollar}2,800,000 - \text{\textdollar}1,120,000 = \text{\textdollar}1,680,000$$

1. Forecast 2 (Atypical Anomaly):

$$EAC_2 = AC + (BAC - EV) = \text{\textdollar}1,120,000 + (\text{\textdollar}2,400,000 - \text{\textdollar}960,000) = \text{\textdollar}2,560,000$$ $$VAC_2 = \text{\textdollar}2,400,000 - \text{\textdollar}2,560,000 = -\text{\textdollar}160,000\text{ overrun}$$

1. Forecast 3 (Schedule Delay Drives Escalating Costs):

$$EAC_3 = AC + \frac{BAC - EV}{CPI \times SPI} = \text{\textdollar}1,120,000 + \frac{\text{\textdollar}1,440,000}{0.685714} = \text{\textdollar}1,120,000 + \text{\textdollar}2,100,000 = \text{\textdollar}3,220,000$$ $$VAC_3 = \text{\textdollar}2,400,000 - \text{\textdollar}3,220,000 = -\text{\textdollar}820,000\text{ overrun}$$

1. Projected Completion Time:

$$\text{Estimated Duration} = \frac{\text{Planned Duration}}{SPI} = \frac{12 \text{ months}}{0.80} = 15 \text{ months (3-month delay)}$$

TCPI Feasibility Assessment

To achieve the original $2,400,000 budget:

$$TCPI_{BAC} = \frac{BAC - EV}{BAC - AC} = \frac{\text{\textdollar}2,400,000 - \text{\textdollar}960,000}{\text{\textdollar}2,400,000 - \text{\textdollar}1,120,000} = \frac{\text{\textdollar}1,440,000}{\text{\textdollar}1,280,000} = 1.125$$

To achieve the revised EAC of $2,800,000:

$$TCPI_{EAC} = \frac{BAC - EV}{EAC - AC} = \frac{\text{\textdollar}1,440,000}{\text{\textdollar}2,800,000 - \text{\textdollar}1,120,000} = \frac{\text{\textdollar}1,440,000}{\text{\textdollar}1,680,000} \approx 0.857$$

Strategic Recommendation: To hit the original $2,400,000 budget, the team must improve cost efficiency from $0.857 to $1.125 per dollar spent—a 31.3% leap in operational productivity while managing complex healthcare data. The management accountant advised the board that $TCPI_{BAC} = 1.125$ requires evidence of a credible recovery plan. The accountant recommends a $2,800,000 forecast and a schedule review. The 15-month duration is only a rough SPI extrapolation, not a critical-path forecast; any scope or baseline change requires separate approval.

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Exam Traps to Avoid