Learning Module 5
Capital Investments and Capital Allocation
What you must be able to do
Curriculum Year: 2026
Describe types of capital investments made by companies.
Describe the capital allocation process and the investment decision criteria used.
Describe principles of capital allocation and common capital allocation pitfalls.
Describe types of real options relevant to capital investments.
1 · Types of Capital Investments
Capital investments are long-term commitments of capital to generate future returns. The four main categories differ in risk level and strategic purpose.
Replace aging or obsolete assets; improve efficiency; maintain IT infrastructure. Funding typically matched to asset life. Essential for day-to-day operations.
Imposed by governments, regulators, or third parties. Often negative NPV but required to continue operations. Example: Danske Bank anti-money laundering systems.
Scale up or broaden existing products/services; enter adjacent markets. Example: Sony's acquisition of Bungie to expand gaming portfolio.
Enter entirely new markets or industries outside current operations. High uncertainty; requires different capabilities. Example: Kirin Holdings' investment in Fancl cosmetics.
2 · Capital Allocation Process & Decision Metrics
The Four-Step Capital Allocation Process
Step | Activity | Key Focus |
|---|---|---|
1. Idea Generation | Identify potential investment opportunities from operations, R&D, strategy, or market observation | Broad sourcing; senior management involvement |
2. Investment Analysis | Quantify costs, benefits, risks; model cash flows; apply NPV/IRR/ROIC | After-tax incremental cash flows; risk-adjusted rates |
3. Planning & Prioritization | Rank projects; allocate budget; consider strategic fit and constraints | Capital budget; mutually exclusive decisions |
4. Post-Investment Review | Monitor results vs. forecasts; learn from outcomes; improve future decisions | Accountability; feedback loop; detect biases |
Net Present Value (NPV)
NPV = CF₀ + CF₁/(1+r)¹ + CF₂/(1+r)² + ... + CFₜ/(1+r)ᵀ
Decision Rule: Invest if NPV ≥ 0
Maximize NPV among mutually exclusive projects
NPV measures value added in absolute currency terms. It is the preferred decision metric when comparing mutually exclusive projects because it reflects total value created.
Internal Rate of Return (IRR)
Solve for IRR such that:
Σ CFₜ / (1 + IRR)ᵗ = 0 for t = 0 to T
Decision Rule: Invest if IRR ≥ required rate of return (hurdle rate)
Key assumption: Cash flows reinvested at IRR
Limitation: Multiple IRRs if cash flow signs change more than once
Caution: NPV preferred over IRR for mutually exclusive projects
Example — Gerhardt project (CF₀ = –50, CFs = 16,16,16,16,20 at r=10%): NPV = +13.136, IRR = 19.52%
Return on Invested Capital (ROIC)
ROIC = After-tax Operating Profit / Average Invested Capital
= (1 − Tax rate) × Operating Profit
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Average (LT Debt + Equity) [prior + current ÷ 2]
Decomposition:
ROIC = After-tax Operating Profit Margin × Asset Turnover
Advantages: Uses public data; accounts for capital base; comparable to required rate of return. Limitations: Accounting-based (not cash flows); backward-looking; aggregated across projects.
NPV vs. IRR Comparison
Criterion | NPV | IRR |
|---|---|---|
Output | Absolute value added ($) | Percentage return (%) |
Reinvestment assumption | Reinvest at cost of capital (r) | Reinvest at IRR — often unrealistic |
Mutually exclusive projects | ✔ Preferred — pick highest NPV | ⚠ Can give wrong ranking |
Multiple sign changes in CF | Unique answer always | May produce multiple IRRs |
Decision rule | NPV ≥ 0 → invest | IRR ≥ hurdle rate → invest |
3 · Capital Allocation Principles & Pitfalls
Core Principles
After-tax cash flows only: Capital allocation decisions must be based on after-tax cash flows, not pre-tax. Depreciation is included only to the extent it reduces taxes (tax shield), not as a cash outflow. Apply: After-tax CF = Gross CF × (1 − tax rate).
Incremental cash flows only: Include only cash flows that change because of the investment. Exclude sunk costs (already incurred). Include opportunity costs (what is forgone). Include cannibalization of existing product revenues.
Timing matters: Cash flows received sooner have higher present values. Delaying future cash flows reduces both NPV and IRR.
Internal funds are NOT free: Cash flow from operations is equity financing — it could be returned to shareholders. Using internally generated funds does NOT justify a lower required rate of return.
Consistent inflation treatment: Use nominal cash flows with nominal discount rates, OR real cash flows with real discount rates. Never mix the two frameworks.
Common Pitfalls
Incorrect cost or rate inputs; overlooking overhead (IT, management time); failing to model competitor responses to planned investments.
Treating operating cash flows as "free" capital. Internally generated capital is equity; using it has an opportunity cost equal to shareholders' required return.
Mixing nominal cash flows with real discount rates (or vice versa) distorts NPV. Inflation also affects cost inputs unevenly — oil price rises benefit producers but hurt refiners.
McKinsey study: 0.92 correlation in capital spending between years. Management anchors budgets to prior-year amounts even as ROIC declines in those segments.
Managers incentivized by EPS/ROE may reject high-NPV investments that temporarily depress near-term earnings. Cost cuts and buybacks boost EPS but may reduce long-run value.
Favored projects bypass rigorous analysis or use inflated projections. Warning signs: concentrated ownership, weak board oversight, misaligned executive pay.
Many viable alternatives are never generated. Firms also fail to model different scenarios (breakeven, sensitivity, simulation). Often linked to limited M&A or divestiture experience.
4 · Real Options
Real options grant a firm the right, but not the obligation, to take an action in the future. Like financial options, they have value when future outcomes are uncertain. Including real options can convert a negative-NPV project into a positive-NPV investment.
Delay an investment to obtain better information. Sequential investments create a ladder of future options. Cost: foregone near-term returns while waiting.
Abandonment: Exit if cash flows from stopping exceed PV of continuing. Growth/Expansion: Scale up if results exceed expectations. Both are sizing options.
Scale up or broaden existing products/services; enter adjacent markets. Example: Sony's acquisition of Bungie to expand gaming Operational flexibility after investment: price-setting (raise prices when demand exceeds capacity) or production flexibility (overtime, extra shifts). Alter outputs without new capital..
Project value depends on external factors (commodity prices). Oil wells, refineries, gold mines, R&D projects are all examples. Exercise only when the external factor is favorable.
Valuing Real Options
Project NPV = NPV (without options) − Option cost + Option value
Example — XYZ Timing Option:
NPV without option = $8.9m
Option cost = $1.8m
Project NPV = $9.7m
→ Option value = $9.7 − $8.9 + $1.8 = $2.6m
Three approaches: (1) Ignore options — if NPV > 0 anyway, options are upside. (2) NPV with options using formula above. (3) Decision trees or option pricing models with probability weights.
Decision Tree Example (Gerhardt Corporation)
CF₀ = −€500m; t=1: 60% × €750m = €450m probability-weighted cash flow
NPV = −500 + 450/1.10 = −€90.91 → below zero, should not invest.
Adding alternative uses at t=2 (alternative product launch: 12% × €600 = €72; facility sale: 12% × €400 = €48):
NPV = −500 + 450/1.10 + 120/1.10² = +€8.26 → invest when real options are included.