4.4 After-Tax Cash Flow Analysis & Life Cycle Costing

AACE Certified Cost Technician CCT

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1 Chapter 1: AACE Certification, Ethics & Total Cost Management Framework

1.1 About the AACE CCT Exam & Certification Pathway 1.2 AACE Canons of Ethics & Professional Practice 1.3 Total Cost Management (TCM) Framework Architecture 1.4 Cost Engineering Terminology & Core Concepts 1.5 Strategic Asset Management: Asset Performance, Assessment & Configuration Control

2 Chapter 2: Elements of Cost, Labor, Materials & Indirects

2.1 Cost Classification & Cost Behavior 2.2 Labor Costs, Craft Rates & Labor Burden 2.3 Materials & Equipment Cost Fundamentals 2.4 Job-Site Indirects & Home Office Overhead Allocation 2.5 Cost Dimensions: Life Cycles, Perspective, Influence & the Legal Dimension

3 Chapter 3: Engineering Economics: Time Value of Money & Depreciation

3.1 Time Value of Money & Cash Flow Diagrams 3.2 Uniform Series & Equivalence Factors 3.3 Nominal vs. Effective Interest Rates & Inflation 3.4 Depreciation Methods & Asset Write-Down

4 Chapter 4: Capital Budgeting, NPV, IRR & Life Cycle Costing

4.1 Net Present Value (NPV) & Present Worth Analysis 4.2 Internal Rate of Return (IRR) & MARR 4.3 Payback Period & Benefit-Cost Ratio Analysis 4.4 After-Tax Cash Flow Analysis & Life Cycle Costing

5 Chapter 5: Statistics, Probability & Decision Models

5.1 Descriptive Statistics & Measures of Dispersion 5.2 Probability Concepts & Distributions 5.3 Decision Trees & Expected Monetary Value (EMV) 5.4 Linear Programming & Optimization Models 5.5 Physical Measurement, Unit Systems & Quantity Conversions

6 Chapter 6: Organization, Communications & Project Management Basics

6.1 Organizational Structures & Project Roles 6.2 Communications Management & Project Reporting 6.3 Cost Data Management & Historical Normalization

7 Chapter 7: Cost Estimating Principles & Classification Systems

7.1 Estimating Fundamentals & Basis of Estimate 7.2 AACE 18R-97 Cost Estimate Classification System 7.3 Conceptual & Parametric Estimating Methods 7.4 Detailed Estimating & Estimate Closeout

8 Chapter 8: Allowances, Escalation, Location Factors & Contingency

8.1 Allowances vs. Contingency vs. Management Reserve 8.2 Location Factors & Escalation Analysis 8.3 Contingency Determination & Risk Analysis

9 Chapter 9: Project Planning, WBS & CPM Scheduling

9.1 Work Breakdown Structure (WBS) & Scope Definition 9.2 Activity Definition, Precedence & Dependencies 9.3 Critical Path Method (CPM) Forward & Backward Pass 9.4 Float Calculations & Schedule Compression 9.5 Requirements Elicitation, Plan Implementation & Plan Validation

10 Chapter 10: PERT Estimating, Progress Measurement & Schedule Control

10.1 PERT Three-Point Estimating & Network Variance 10.2 Progress Measurement & Rules of Credit 10.3 Schedule Baseline Maintenance & Change Control

11 Chapter 11: Earned Value Management (EVM): Variances, Indices & Forecasting

11.1 EVM Foundations & Core Parameters 11.2 Cost & Schedule Variances 11.3 Performance Indices 11.4 Forecasting: EAC, ETC, VAC & TCPI

12 Chapter 12: Procurement, Contract Types & Administration

12.1 Contract Types & Risk Allocation Spectrum 12.2 Procurement Process, Solicitation & Bidding 12.3 Surety Bonds & Project Insurance 12.4 Contract Administration, Changes & Claims

13 Chapter 13: Project Risk Management: Identification, Analysis & Response

13.1 Risk Management Planning & Identification 13.2 Qualitative & Quantitative Risk Analysis 13.3 Risk Response Strategies & Risk Control

14 Chapter 14: Quality Management, Value Engineering & Resource Management

14.1 Quality Concepts & Cost of Quality (COQ) 14.2 Quality Control Tools & Continuous Improvement 14.3 Value Engineering & Value Methodology 14.4 Resource Management, Leveling & Learning Curve Theory 14.5 Environmental, Health & Safety (EHS) Cost Management

4.4 After-Tax Cash Flow Analysis & Life Cycle Costing

Key Takeaways Explain This Topic AI

Depreciation is a non-cash tax-deductible expense that shields taxable income, generating an annual cash savings known as the depreciation tax shield (D_t * t).

After-Tax Cash Flow (ATCF) is calculated as ATCF = (Revenues - Expenses)(1 - t) + Depreciation * t, where t is the effective marginal corporate income tax rate.

When depreciable assets are sold, taxable gain or loss equals the selling price minus the asset's current book value; any excess over book value triggers tax liability, reducing net salvage cash proceeds.

Total Life Cycle Costing (LCC) quantifies all direct and indirect expenditures across an asset's complete lifespan, encompassing acquisition (CapEx), operations (OpEx), maintenance, overhauls, decommissioning, and terminal salvage.

Governed by standards such as ISO 15686-5 and ASTM E917, Total Cost of Ownership (TCO) demonstrates that initial capital expenditure typically represents only 15% to 30% of total lifetime facility costs, preventing sub-optimal low-bid procurement.

Last updated: September 2026

4.4 After-Tax Cash Flow Analysis & Life Cycle Costing

Quick Answer: Corporate income taxes exert a massive impact on capital investment viability. Because depreciation ( D t D_t D t ​ ) is a non-cash deductible expense, it creates an annual Depreciation Tax Shield ( D t ⋅ t D_t \cdot t D t ​ ⋅ t ) that reduces tax liabilities. The standard working formula for After-Tax Cash Flow (ATCF) is ATCF t = ( R t − E t ) ( 1 − t ) + D t ⋅ t \text{ATCF}_t = (R_t - E_t)(1 - t) + D_t \cdot t ATCF t ​ = ( R t ​ − E t ​ ) ( 1 − t ) + D t ​ ⋅ t . When an asset is sold, taxes apply to the gain over current Book Value : Gain = S n − B V n \text{Gain} = S_n - BV_n Gain = S n ​ − B V n ​ . Beyond annual cash flow analysis, Life Cycle Costing (LCC) and Total Cost of Ownership (TCO) (governed by ISO 15686-5 and ASTM E917 ) aggregate all costs from acquisition (CapEx) through operations (OpEx), maintenance, and decommissioning. In industrial facilities, initial CapEx typically accounts for merely 15% to 30% of total life cycle costs.

The Mechanics of Corporate Income Taxes & Taxable Income

In engineering economics, Before-Tax Cash Flow ( B T C F BTCF BTCF ) reflects actual physical operational transactions, whereas taxable income incorporates non-cash accounting allowances permitted by statutory tax authorities (e.g., IRS MACRS).

Core Accounting Formulations

Before-Tax Cash Flow ( B T C F BTCF BTCF ): B T C F t = R t − E t BTCF_t = R_t - E_t BTC F t ​ = R t ​ − E t ​ Where R t R_t R t ​ represents gross revenues (or cost savings) and E t E_t E t ​ represents out-of-pocket cash operating and maintenance expenses.

Taxable Income ( T I TI T I ): T I t = R t − E t − D t = B T C F t − D t TI_t = R_t - E_t - D_t = BTCF_t - D_t T I t ​ = R t ​ − E t ​ − D t ​ = BTC F t ​ − D t ​ Where D t D_t D t ​ represents the allowable tax depreciation deduction in period t t t .

Corporate Income Tax Liability ( T t T_t T t ​ ): T t = T I t ⋅ t = ( R t − E t − D t ) ⋅ t T_t = TI_t \cdot t = (R_t - E_t - D_t) \cdot t T t ​ = T I t ​ ⋅ t = ( R t ​ − E t ​ − D t ​ ) ⋅ t Where t t t represents the effective marginal corporate income tax rate (typically combining federal, state, and local statutory rates).

Derivation of After-Tax Cash Flow (ATCF)

After-Tax Cash Flow represents the actual net transactional liquid currency remaining in the enterprise's bank account after satisfying all operational obligations and tax liabilities.

The Fundamental Derivation ATCF t = B T C F t − T t \text{ATCF}_t = BTCF_t - T_t ATCF t ​ = BTC F t ​ − T t ​

Substitute the tax liability expression: ATCF t = ( R t − E t ) − ( R t − E t − D t ) ⋅ t \text{ATCF}_t = (R_t - E_t) - (R_t - E_t - D_t) \cdot t ATCF t ​ = ( R t ​ − E t ​ ) − ( R t ​ − E t ​ − D t ​ ) ⋅ t ATCF t = ( R t − E t ) − ( R t − E t ) ⋅ t + D t ⋅ t \text{ATCF}_t = (R_t - E_t) - (R_t - E_t) \cdot t + D_t \cdot t ATCF t ​ = ( R t ​ − E t ​ ) − ( R t ​ − E t ​ ) ⋅ t + D t ​ ⋅ t

Factoring ( R t − E t ) (R_t - E_t) ( R t ​ − E t ​ ) yields the celebrated Depreciation Tax Shield Formula : ATCF t = ( R t − E t ) ( 1 − t ) + D t ⋅ t \mathbf{\text{ATCF}_t = (R_t - E_t)(1 - t) + D_t \cdot t} ATCF t ​ = ( R t ​ − E t ​ ) ( 1 − t ) + D t ​ ⋅ t ATCF t = B T C F t ( 1 − t ) + D t ⋅ t \mathbf{\text{ATCF}_t = BTCF_t(1 - t) + D_t \cdot t} ATCF t ​ = BTC F t ​ ( 1 − t ) + D t ​ ⋅ t

Conceptual Breakdown of the ATCF Components

( R t − E t ) ( 1 − t ) (R_t - E_t)(1 - t) ( R t ​ − E t ​ ) ( 1 − t ) : The after-tax operational net earnings. For every dollar of net operating revenue generated, the firm retains ( 1 − t ) (1 - t) ( 1 − t ) dollars after paying income taxes.

D t ⋅ t D_t \cdot t D t ​ ⋅ t (The Depreciation Tax Shield): Because depreciation is deducted on the tax return before computing tax liability, every dollar of depreciation shields one dollar of income from taxation, saving t t t dollars in cash tax disbursements. Even though depreciation is a non-cash paper deduction, the tax shield is 100% real cash savings!

Cash Flow at Project Inception ( t = 0 t = 0 t = 0 )

Under standard corporate tax law, capital expenditures for long-lived assets cannot be expensed immediately against ordinary operating income; they must be capitalized onto the balance sheet and recovered over time through statutory depreciation schedules: ATCF 0 = − C a p E x 0 \mathbf{\text{ATCF}_0 = -CapEx_0} ATCF 0 ​ = − CapE x 0 ​

Tax Consequences of Asset Disposal & Salvage Value

When a capital asset is decommissioned, retired, or sold at the end of its service life ( t = n t = n t = n ), its market salvage value ( S n S_n S n ​ ) triggers tax consequences depending on the asset's residual Book Value ( B V n BV_n B V n ​ ) .

1. Calculation of Book Value B V n = Original Cost Basis ( I 0 ) − ∑ k = 1 n D k \mathbf{BV_n = \text{Original Cost Basis } (I_0) - \sum_{k=1}^n D_k} B V n ​ = Original Cost Basis ( I 0 ​ ) − k = 1 ∑ n ​ D k ​

2. Taxable Gain or Loss on Disposal Taxable Gain / (Loss) = S n − B V n \mathbf{\text{Taxable Gain / (Loss)} = S_n - BV_n} Taxable Gain / (Loss) = S n ​ − B V n ​

3. Net After-Tax Cash Proceeds from Disposal

Three distinct tax scenarios occur on capital retirement:

Disposal Condition Economic Reality Tax Implication Net After-Tax Cash Flow at Disposal

S n > B V n S_n > BV_n S n ​ > B V n ​ Sold above book value Taxable Gain (Depreciation Recapture): Owe additional tax of ( S n − B V n ) ⋅ t (S_n - BV_n) \cdot t ( S n ​ − B V n ​ ) ⋅ t A T C F salvage = S n − ( S n − B V n ) ⋅ t ATCF_{\text{salvage}} = S_n - (S_n - BV_n) \cdot t A TC F salvage ​ = S n ​ − ( S n ​ − B V n ​ ) ⋅ t

S n = B V n S_n = BV_n S n ​ = B V n ​ Sold exactly at book value No Gain or Loss: Zero incremental tax liability A T C F salvage = S n ATCF_{\text{salvage}} = S_n A TC F salvage ​ = S n ​

S n < B V n S_n < BV_n S n ​ < B V n ​ Sold below book value Ordinary Loss on Disposal: Tax deduction generating a cash tax credit of ( B V n − S n ) ⋅ t (BV_n - S_n) \cdot t ( B V n ​ − S n ​ ) ⋅ t A T C F salvage = S n + ( B V n − S n ) ⋅ t ATCF_{\text{salvage}} = S_n + (BV_n - S_n) \cdot t A TC F salvage ​ = S n ​ + ( B V n ​ − S n ​ ) ⋅ t

Fully Depreciated Asset Case: If an asset is depreciated to zero book value ( B V n = $ 0 BV_n = \text{\textdollar}0 B V n ​ = $ 0 ), any salvage value realized is 100% taxable as depreciation recapture, yielding: A T C F salvage = S n ( 1 − t ) ATCF_{\text{salvage}} = S_n(1 - t) A TC F salvage ​ = S n ​ ( 1 − t ) .

Total Life Cycle Cost (LCC) & Total Cost of Ownership (TCO)

In heavy industrial engineering, construction, and infrastructure management, evaluating procurement decisions solely on the basis of initial purchase price (low-bid bias) frequently results in disastrous economic outcomes. Life Cycle Costing (LCC) and Total Cost of Ownership (TCO) provide a comprehensive multi-decade framework codified by ISO 15686-5 ( Buildings and constructed assets — Service life planning — Part 5: Life-cycle costing ) and ASTM E917 ( Standard Practice for Measuring Life-Cycle Costs of Buildings and Building Systems ). +-----------------------------------------------------------------------------------+

• | THE LIFE CYCLE COST "ICEBERG EFFECT" |
• +-----------------------------------------------------------------------------------+
• | /\ |
• | INITIAL ACQUISITION (CapEx) / \ <--- 15% to 30% of Total LCC |
• | Purchase, Design, Construction /____\ (Visible Above the Surface) |
• | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
• | OPERATING COSTS (OpEx) | | |
• | Energy, Power, Fuel, Utilities | | |
• | MAINTENANCE & RELIABILITY | | <--- 70% to 85% of Total LCC |
• | Routine PM, Overhauls, Spares | | (Hidden Below the Surface) |
• | DOWNTIME & PRODUCTION LOSSES | | |
• | DECOMMISSIONING & DISPOSAL | | |
• | Abatement, Demolition, Remediation | |
• +-----------------------------------------------------------------------------------+
• The Mathematical Formulation of Life Cycle Cost

Total Life Cycle Cost aggregates the present worth of all costs incurred across every life cycle phase, credited by residual salvage value: LCC = C a p E x 0 + ∑ t = 1 n O p E x t ( 1 + i ) t + ∑ t = 1 n M t ( 1 + i ) t + ∑ k O v e r h a u l k ( 1 + i ) k + D e c o m n ( 1 + i ) n − S a l v a g e n ( 1 + i ) n \mathbf{\text{LCC} = CapEx_0 + \sum_{t=1}^n \frac{OpEx_t}{(1 + i)^t} + \sum_{t=1}^n \frac{M_t}{(1 + i)^t} + \sum_{k} \frac{Overhaul_k}{(1 + i)^k} + \frac{Decom_n}{(1 + i)^n} - \frac{Salvage_n}{(1 + i)^n}} LCC = CapE x 0 ​ + t = 1 ∑ n ​ ( 1 + i ) t OpE x t ​ ​ + t = 1 ∑ n ​ ( 1 + i ) t M t ​ ​ + k ∑ ​ ( 1 + i ) k Overhau l k ​ ​ + ( 1 + i ) n Deco m n ​ ​ − ( 1 + i ) n Salvag e n ​ ​

Where:

C a p E x 0 CapEx_0 C a pE x 0 ​ = Initial acquisition, permitting, engineering, procurement, construction, and commissioning costs

O p E x t OpEx_t OpE x t ​ = Recurring annual energy, power, fuel, chemical feedstocks, and operating labor expenses

M t M_t M t ​ = Routine preventive, predictive, and corrective maintenance expenses

O v e r h a u l k Overhaul_k O v er ha u l k ​ = Periodic non-annual capital overhauls, refractory re-linings, or major component replacements occurring at specific intervals k k k

D e c o m n Decom_n Deco m n ​ = End-of-life facility retirement, asbestos/lead abatement, hazardous waste remediation, and demolition costs

S a l v a g e n Salvage_n S a l v a g e n ​ = Net resale, residual equipment value, or scrap metal recovery credit

The Engineering Economics Trade-Off in LCC

Cost engineers utilize LCC to justify higher initial capital expenditures that yield dramatic multi-decade operating efficiencies:

Spending an extra $ 50 , 000 \text{\textdollar}50,000 $ 50 , 000 at t = 0 t = 0 t = 0 on premium high-efficiency electric motors and variable-frequency drives (VFDs) often generates $ 20 , 000 \text{\textdollar}20,000 $ 20 , 000 in annual power savings over a 20-year service life (saving over $ 170 , 000 \text{\textdollar}170,000 $ 170 , 000 in net present value).

Utilizing corrosion-resistant duplex stainless steel piping instead of carbon steel increases initial material costs by 40% but eliminates routine pipe re-tubing and unplanned refinery shutdown costs, driving down total life cycle cost.

• Step-by-Step Worked Problem: Industrial Cogeneration Facility Evaluation
• Problem Scenario

A process plant evaluates a natural gas-fired cogeneration turbine to generate on-site electrical power and steam. Financial and operational parameters are as follows:

• Initial Turnkey Capital Investment ( C a p E x 0 CapEx_0 C a pE x 0 ​ ): $500,000 at t = 0 t = 0 t = 0
• Operational Service Life ( n n n ): 5 years
• Gross Annual Power & Steam Savings ( R t R_t R t ​ ): $220,000/year (Years 1 to 5)
• Annual Operating & Maintenance Expenses ( E t E_t E t ​ ): $50,000/year (Years 1 to 5)

Depreciation Method: Straight-Line Depreciation over 5 years with zero tax salvage assumption ( D = $ 500 , 000 / 5 = $ 100 , 000 / y e a r D = \text{\textdollar}500,000 / 5 = \mathbf{\text{\textdollar}100,000/year} D = $ 500 , 000/5 = $ 100 , 000/year )

• Terminal Market Salvage Value ( S 5 S_5 S 5 ​ ): $80,000 at end of Year 5
• Corporate Marginal Tax Rate ( t t t ): 25.0%
• After-Tax Corporate MARR ( i after-tax i_{\text{after-tax}} i after-tax ​ ): 8.0% compounded annually
• Required Calculations

Develop the complete year-by-year After-Tax Cash Flow (ATCF) schedule.

Compute the taxable gain and net after-tax cash proceeds from the terminal salvage sale at Year 5.

Calculate the project's After-Tax Net Present Value ( NPV after-tax \text{NPV}_{\text{after-tax}} NPV after-tax ​ ) .

• Step-by-Step Numerical Solution
• Step 1: Annual Operating Cash Flows (Years 1 to 4)

For each operating year t = 1 , 2 , 3 , 4 t = 1, 2, 3, 4 t = 1 , 2 , 3 , 4 :

Before-Tax Cash Flow: B T C F t = R t − E t = $ 220 , 000 − $ 50 , 000 = $ 170 , 000 BTCF_t = R_t - E_t = \text{\textdollar}220,000 - \text{\textdollar}50,000 = \mathbf{\text{\textdollar}170,000} BTC F t ​ = R t ​ − E t ​ = $ 220 , 000 − $ 50 , 000 = $ 170 , 000

Allowable Depreciation: D t = $ 100 , 000 D_t = \mathbf{\text{\textdollar}100,000} D t ​ = $ 100 , 000

Taxable Income: T I t = B T C F t − D t = $ 170 , 000 − $ 100 , 000 = $ 70 , 000 TI_t = BTCF_t - D_t = \text{\textdollar}170,000 - \text{\textdollar}100,000 = \mathbf{\text{\textdollar}70,000} T I t ​ = BTC F t ​ − D t ​ = $ 170 , 000 − $ 100 , 000 = $ 70 , 000

Income Tax Liability: T t = T I t ⋅ t = $ 70 , 000 × 0.25 = $ 17 , 500 T_t = TI_t \cdot t = \text{\textdollar}70,000 \times 0.25 = \mathbf{\text{\textdollar}17,500} T t ​ = T I t ​ ⋅ t = $ 70 , 000 × 0.25 = $ 17 , 500

After-Tax Cash Flow: ATCF t = B T C F t − T t = $ 170 , 000 − $ 17 , 500 = $ 152 , 500 \text{ATCF}_t = BTCF_t - T_t = \$170,000 - \$17,500 = \mathbf{\$152,500} ATCF t ​ = BTC F t ​ − T t ​ = $170 , 000 − $17 , 500 = $152 , 500

Check via Depreciation Tax Shield Formula: ATCF t = ( R t − E t ) ( 1 − t ) + D t ⋅ t = $ 170 , 000 ( 1 − 0.25 ) + $ 100 , 000 ( 0.25 ) \text{ATCF}_t = (R_t - E_t)(1 - t) + D_t \cdot t = \$170,000(1 - 0.25) + \$100,000(0.25) ATCF t ​ = ( R t ​ − E t ​ ) ( 1 − t ) + D t ​ ⋅ t = $170 , 000 ( 1 − 0.25 ) + $100 , 000 ( 0.25 )

ATCF t = $ 127 , 500 + $ 25 , 000 = $ 152 , 500 \text{ATCF}_t = \$127,500 + \$25,000 = \mathbf{\$152,500} ATCF t ​ = $127 , 500 + $25 , 000 = $152 , 500 (Matches perfectly! Notice the $25,000 annual cash boost from the depreciation tax shield).

• Step 2: Year 5 Cash Flow and Salvage Tax Consequences
• Year 5 Operating ATCF = $ 152 , 500 \text{\textdollar}152,500 $ 152 , 500

Terminal Asset Disposal at t = 5 t = 5 t = 5 :

Initial Cost Basis = $ 500 , 000 \text{\textdollar}500,000 $ 500 , 000

Accumulated Depreciation (5 years @ $ 100 , 000 / y r \text{\textdollar}100,000/yr $ 100 , 000/ yr ) = $ 500 , 000 \text{\textdollar}500,000 $ 500 , 000

Book Value at disposal: B V 5 = $ 500 , 000 − $ 500 , 000 = $ 0 BV_5 = \text{\textdollar}500,000 - \text{\textdollar}500,000 = \mathbf{\text{\textdollar}0} B V 5 ​ = $ 500 , 000 − $ 500 , 000 = $ 0

Actual Market Salvage Value: S 5 = $ 80 , 000 S_5 = \mathbf{\text{\textdollar}80,000} S 5 ​ = $ 80 , 000

Taxable Gain on Disposal: Gain = S 5 − B V 5 = $ 80 , 000 − $ 0 = $ 80 , 000 \text{Gain} = S_5 - BV_5 = \text{\textdollar}80,000 - \text{\textdollar}0 = \mathbf{\text{\textdollar}80,000} Gain = S 5 ​ − B V 5 ​ = $ 80 , 000 − $ 0 = $ 80 , 000

Tax Liability on Disposal: T salvage = $ 80 , 000 × 0.25 = $ 20 , 000 T_{\text{salvage}} = \text{\textdollar}80,000 \times 0.25 = \mathbf{\text{\textdollar}20,000} T salvage ​ = $ 80 , 000 × 0.25 = $ 20 , 000

Net After-Tax Salvage Proceeds: A T C F salvage = S 5 − T salvage = $ 80 , 000 − $ 20 , 000 = $ 60 , 000 ATCF_{\text{salvage}} = S_5 - T_{\text{salvage}} = \$80,000 - \$20,000 = \mathbf{\$60,000} A TC F salvage ​ = S 5 ​ − T salvage ​ = $80 , 000 − $20 , 000 = $60 , 000

Total Year 5 ATCF: ATCF 5 = $ 152 , 500 + $ 60 , 000 = $ 212 , 500 \text{ATCF}_5 = \text{\textdollar}152,500 + \text{\textdollar}60,000 = \mathbf{\text{\textdollar}212,500} ATCF 5 ​ = $ 152 , 500 + $ 60 , 000 = $ 212 , 500

Complete After-Tax Cash Flow Summary Schedule

Period ( t t t ) Gross Revenue ( R R R ) Operating Exp ( E E E ) Deprec ( D D D ) Taxable Income ( T I TI T I ) Tax @ 25% ( T T T ) Net ATCF ($)

• 0 $0 $0 $0 $0 $0 -$500,000
• 1 $220,000 $50,000 $100,000 $70,000 $17,500 +$152,500
• 2 $220,000 $50,000 $100,000 $70,000 $17,500 +$152,500
• 3 $220,000 $50,000 $100,000 $70,000 $17,500 +$152,500
• 4 $220,000 $50,000 $100,000 $70,000 $17,500 +$152,500
• 5 (Ops) $220,000 $50,000 $100,000 $70,000 $17,500 +$152,500
• 5 (Sale) $80,000 (Salvage) $0 $0 $80,000 (Gain) $20,000 +$60,000
• Total 5 — — — — — +$212,500
• Step 3: Compute After-Tax Net Present Value ( NPV after-tax \text{NPV}_{\text{after-tax}} NPV after-tax ​ )

Discount the cash flows at the after-tax MARR of i = 8.0 % i = 8.0\% i = 8.0% :

Factor for 5-year uniform operating stream: ( P / A , 8 % , 5 ) = ( 1.08 ) 5 − 1 0.08 ( 1.08 ) 5 = 1.469328 − 1 0.08 × 1.469328 = 0.469328 0.117546 = 3.992710 (P/A, 8\%, 5) = \frac{(1.08)^5 - 1}{0.08(1.08)^5} = \frac{1.469328 - 1}{0.08 \times 1.469328} = \frac{0.469328}{0.117546} = \mathbf{3.992710} ( P / A , 8% , 5 ) = 0.08 ( 1.08 ) 5 ( 1.08 ) 5 − 1 ​ = 0.08 × 1.469328 1.469328 − 1 ​ = 0.117546 0.469328 ​ = 3.992710

Single payment present-worth factor for Year 5: ( P / F , 8 % , 5 ) = ( 1.08 ) − 5 = 0.680583 (P/F, 8\%, 5) = (1.08)^{-5} = \mathbf{0.680583} ( P / F , 8% , 5 ) = ( 1.08 ) − 5 = 0.680583 PW ( Operating ATCF ) = $ 152 , 500 × 3.992710 = $ 608 , 888.28 \text{PW}(\text{Operating ATCF}) = \$152,500 \times 3.992710 = \mathbf{\$608,888.28} PW ( Operating ATCF ) = $152 , 500 × 3.992710 = $608 , 888.28 PW ( After-Tax Salvage ) = $ 60 , 000 × 0.680583 = $ 40 , 834.98 \text{PW}(\text{After-Tax Salvage}) = \$60,000 \times 0.680583 = \mathbf{\$40,834.98} PW ( After-Tax Salvage ) = $60 , 000 × 0.680583 = $40 , 834.98 NPV after-tax = − $ 500 , 000 + $ 608 , 888.28 + $ 40 , 834.98 = + $ 149 , 723.26 \text{NPV}_{\text{after-tax}} = -\$500,000 + \$608,888.28 + \$40,834.98 = \mathbf{+\$149,723.26} NPV after-tax ​ = − $500 , 000 + $608 , 888.28 + $40 , 834.98 = + $149 , 723.26

Economic Decision: Because the project generates an after-tax Net Present Value of +$149,723 , it exceeds the after-tax hurdle rate of 8.0% and should be approved for implementation.

CCT Exam Pitfalls & Calculation Guidelines

Treating Depreciation as a Direct Cash Outflow: Depreciation is an accounting allocation, not a check written to a vendor. It never appears directly as a cash outflow. Its sole cash impact is the tax shield ( D t ⋅ t D_t \cdot t D t ​ ⋅ t ) that reduces cash tax disbursements.

Forgetting Tax on Salvage Value (Depreciation Recapture): If an asset has been depreciated below its market resale price, the difference ( S − B V S - BV S − B V ) is taxable income. Entering raw salvage value into cash flows without deducting the resulting tax liability is a frequent exam error.

Discount Rate / Cash Flow Tax Inconsistency: Never discount after-tax cash flows using a before-tax MARR, and never discount before-tax cash flows using an after-tax MARR. As a general approximation: i after-tax ≈ i before-tax ( 1 − t ) i_{\text{after-tax}} \approx i_{\text{before-tax}}(1 - t) i after-tax ​ ≈ i before-tax ​ ( 1 − t ) .

Ignoring Decommissioning & Remediation in LCC: Industrial facilities face substantial environmental closure liabilities. Omitting decontamination, demolition, and site restoration understates true life cycle cost and violates ISO 15686 / ASTM E917 principles.

Loading diagram... After-Tax Cash Flow Architecture & Life Cycle Cost Breakdown