How do real options change capital budgeting decisions? I keep getting the wrong answer on NPV-with-options problems.

Question

AcadiFi · Accepted Answer

Real options recognize that managers have flexibility — they're not locked into a static 'invest or don't invest' decision. This flexibility has value, and ignoring it means standard NPV analysis systematically undervalues projects.

**The Core Formula:**

Expanded NPV = Static NPV + Value of Real Option(s)

A project with a negative static NPV might actually be worth pursuing if the embedded real options are valuable enough.

**Types of Real Options:**

```mermaid
flowchart TD
    A[Real Options in Capital Budgeting] --> B[Timing Option]
    A --> C[Expansion Option]
    A --> D[Abandonment Option]
    A --> E[Flexibility Option]
    B --> F[Wait for better information before investing]
    C --> G[Scale up if demand is strong]
    D --> H[Exit and recover salvage value if project fails]
    E --> I[Switch inputs or outputs based on market conditions]
```

**Worked Example — Abandonment Option:**
Silverbrook Mining evaluates a copper extraction project:
- Initial investment: $12 million
- Expected cash flows: $2.8 million/year for 6 years
- Required return: 11%
- Static NPV = $2.8M x PVIFA(11%, 6) - $12M = $2.8M x 4.2305 - $12M = $11.845M - $12M = **-$155,000**

Static NPV is negative — reject the project under traditional analysis.

But Silverbrook can sell the mining equipment and land rights for $7 million after year 2 if copper prices collapse. Using a binomial model, suppose there's a 40% probability that copper falls, making the project worth only $1.5 million in year 2 (continuing). Abandonment value in year 2 is $7 million.

- Value of abandonment option in bad state = $7.0M - $1.5M = $5.5M (exercise is optimal)
- PV of option value = 0.40 x $5.5M / (1.11)^2 = $2.2M / 1.2321 = **$1.785M**

Expanded NPV = -$155,000 + $1,785,000 = **+$1,630,000**

The project should be accepted once the abandonment option is included.

**Common Exam Pitfalls:**
1. Don't add option value to projects that already have positive NPV in the question — the option value is already embedded in the static analysis if the question says so.
2. Timing options are most valuable when uncertainty is high and the project is close to breakeven. If static NPV is deeply positive, waiting has opportunity cost.
3. Expansion options are most valuable for platform investments — initial entry into a new market even at a small loss can be justified if it creates future growth opportunities.

Practice real options problems in our CFA Level II question bank.

How do real options change capital budgeting decisions? I keep getting the wrong answer on NPV-with-options problems.

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