CFA Level I Exam · Capital Investments and Capital Allocation

Real Options in Capital Budgeting and Their Effect on Project NPV

Updated 7 October 2026 · Fact-checked

Real options are choices management keeps after a project starts, such as delaying, expanding, abandoning or switching inputs. Standard NPV ignores them. To value a project with them, use: project NPV = base NPV − cost of options + value of options. Option value itself is never negative, but net value can fall if the cost exceeds it.

Understand Real Options in Capital Budgeting

A standard NPV analysis assumes you commit today and then follow a fixed plan. Real managers do not behave that way. If a project goes badly, they stop it. If it goes well, they grow it. These choices have value, and they are called real options.

Real options exist on real assets such as plants, projects and products, not on financial securities. Like a financial option, a real option gives the right but not the obligation to act. You use it only when it helps you. That asymmetry is why it has value: you keep the upside and limit the downside.

The curriculum groups real options into four families:

Timing options: the choice of when to invest. A firm can wait for more information before committing.
Sizing options: the choice to change the scale of the project. These include the abandonment option (a put-like right to shut down and recover salvage value) and the growth or expansion option (a call-like right to invest more if conditions are good).
Flexibility options: the choice to adjust operations once the project runs. A price-setting option lets a firm raise prices when demand is strong. A production-flexibility option lets it switch inputs or outputs.
Fundamental options: here the whole project is itself an option, because its payoff depends on an underlying uncertain variable. An oil field or a gold mine is a good example. It is worth developing only if the commodity price is high enough.

The link to NPV is simple. Project NPV with options = base NPV (without options) − cost of options + value of options. Because an option is a right, its value is zero or positive. But acquiring an option can cost something, so net value can fall if that cost exceeds the option's value. A project with a negative base NPV can still be worth accepting if its options are valuable enough. Greater uncertainty (volatility) of the underlying makes an option more valuable, which is the opposite of what discounting alone suggests.

Do not confuse two different costs. The cost of options term is the up-front cost of acquiring or creating the option. The exercise cost is the later outlay you pay if you use the option, such as the cost of expanding. The exercise cost is already built into the option's value, so you do not subtract it again.

Real options can be valued with option pricing models, such as the Black-Scholes-Merton model or the binomial model, or with decision trees. At Level I you mainly need to identify the option type, say which way it moves value, and do simple NPV arithmetic.

Key formulas to remember

NPV including real options: Project NPV = NPV (based on DCF, no options) − cost of options + value of options; Option value is never negative. The cost of options is the up-front cost of acquiring or creating the option, not the later exercise cost of expansion, which is already inside the option value. If no separate cost of acquiring the option is given, the formula reduces to base NPV plus option value.
Abandonment option (put-like): Payoff at decision date = max(salvage value, value of continuing cash flows); It sets a floor on project value. Worth more when salvage value is high and future cash flows are uncertain.
Expansion option (call-like): Payoff = max(0, value of expanded project − cost of expansion); Management expands only if the expansion NPV is positive at the decision date.
Timing option rule: Invest now only if NPV now ≥ value of waiting; Waiting has value when information will arrive. It is costly if competitors can enter or cash flows are lost.
Effect of volatility: Higher volatility of the underlying → higher option value; Because the holder can ignore bad outcomes, more uncertainty raises the value of the right.

How to solve Real Options in Capital Budgeting questions

Use this routine for any real options question, whether it asks for a type, a direction of value or a number.

1Read the stem and find the managerial choice: wait, grow, shrink, stop, switch, or the project itself depending on a price.
2Name the family: timing, sizing (abandonment or expansion), flexibility (price-setting or production) or fundamental.
3Decide whether it is call-like (right to buy more exposure, such as expand or delay start) or put-like (right to sell or exit, such as abandon).
4Compute the base NPV without the option if numbers are given.
5Compute the option payoff at the decision date: choose the better of exercising or not exercising.
6Add the option value to the base NPV and deduct any stated cost of acquiring the option, discounting if the decision occurs later and outcomes are probability-weighted.
7Check the sign logic: option value is zero or positive, and it rises with uncertainty.
8Eliminate the two options that break these rules and choose the remaining one.

Quickest way: Name the option, then check direction

When to use it: For conceptual questions where you must match a scenario to an option type or say how it affects NPV.

Underline the verb in the stem: wait or delay means timing; expand or add capacity means growth; shut or sell means abandonment; adjust price or switch inputs means flexibility.
If the whole project depends on a commodity price or similar variable, think fundamental option.
Remember that option value is never negative. Net value falls only if a stated cost of acquiring the option exceeds that value.
If the question asks how uncertainty matters, pick higher volatility means higher option value.
For numbers, compute only the better of two outcomes at the decision date, add it to base NPV, and deduct any stated cost of the option.

Common mistakes in Real Options in Capital Budgeting

Saying the value of a real option can be negative.
Students confuse the cost of acquiring an option with its value.
Fix: Option value is zero or positive because the holder is not obliged to exercise. Any cost of acquiring it is separate and deducted from the total, so net value can fall only if that cost exceeds the option value.
Treating abandonment as a call-like option.
Stopping a project feels like an action to gain something.
Fix: Abandonment is a right to sell the project for salvage value, so it is put-like. Expansion is call-like.
Mixing up sizing and flexibility options.
Both involve changing the project after launch.
Fix: Sizing options change the scale (abandon, expand, contract). Flexibility options change how it operates (pricing, production inputs or outputs).
Assuming higher risk always lowers value when options exist.
Habit from discounted cash flow, where a higher discount rate cuts NPV.
Fix: For the option component, higher volatility raises value because downside is limited by the right not to exercise.
Using the expansion cost as the payoff instead of the net gain.
Students forget that exercise needs a further outlay.
Fix: Expansion payoff = max(0, value of expanded project − cost of expansion). Compare the net result with doing nothing.
Calling a delay always beneficial.
The timing option sounds free.
Fix: Waiting gives information but may lose early cash flows or let competitors in. Wait only if the value of waiting exceeds NPV now.

Worked examples

Example 1

A company evaluates a project with a base NPV of −€2.0 million, ignoring options. The project gives the firm the right, after year 2, to expand at a cost of €6.0 million. Management estimates the expansion option is worth €3.5 million today. What is the project NPV including the option, and should the company accept? A. −€1.5 million, reject. B. +€1.5 million, accept. C. +€5.5 million, accept.

Show the solution

Identify the option: expansion, a sizing option, call-like.
Apply: NPV with options = base NPV − cost of options + value of options.
No up-front cost of acquiring the option is given, so the cost of options term is zero.
The €6.0 million expansion cost is the later exercise cost, not the cost of options. It is already reflected in the option value of €3.5 million, so do not subtract it again.
Compute: −2.0 + 3.5 = +1.5 million.
Positive NPV, so accept.
Eliminate A and C. A (−1.5) reverses the sign of the correct answer. C (+5.5) comes from ignoring the sign of the base NPV, which gives 2.0 + 3.5 = 5.5.

Answer: B. NPV including the option is +€1.5 million, so accept.

Example 2

An analyst values a plant at $40 million if operated. After year 3, the owner can shut it and sell the equipment for $30 million. In a bad scenario, the present value of continuing cash flows at that date falls to $22 million. Which statement is correct? A. The abandonment option is worthless because $40 million exceeds $30 million. B. In the bad scenario, abandoning adds $8 million of value versus continuing. C. The abandonment option is call-like and rises in value when salvage value falls.

Show the solution

Abandonment is a right to sell for salvage value, so it is put-like. This rules out C, which also gets the salvage direction wrong.
Payoff = max(salvage value, value of continuing) at the decision date in the bad scenario.
Salvage $30 million versus continuing $22 million: the owner abandons.
Gain from the option in this scenario = 30 − 22 = $8 million.
This $8 million gain applies only in the bad scenario. In any scenario where continuing value exceeds $30 million, the owner keeps operating and the option pays nothing.
A is wrong because the option is judged at the decision date in each scenario, not against the original $40 million. It is worthless only in scenarios where continuing value is above $30 million, and the bad scenario is not one of them.

Answer: B. In the bad scenario, abandoning adds $8 million of value. In scenarios where continuing is worth more than $30 million, the option adds nothing.

Exam tips

Match the scenario verb to the option name first. Most questions are won or lost on classification.
Remember the direction rules: option value is never negative, and volatility raises option value.
With three options and no penalty, eliminate any choice saying the option itself has negative value or that high uncertainty lowers option value.
In number questions, use max(exercise, not exercise) at the decision date, add it to the base NPV once, and deduct any stated cost of acquiring the option.
Be ready to separate sizing (abandon, expand) from flexibility (price-setting, production) and to spot a fundamental option from a commodity-price link.

Practice questions from Capital Investments and Capital Allocation

Real Options in Capital Budgeting in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Real Options in Capital Budgeting: frequently asked questions

What are the main types of real options in the CFA Level I curriculum?

They are timing options, sizing options (abandonment and expansion), flexibility options (price-setting and production-flexibility) and fundamental options. Each gives management a right, not an obligation, to act after more information arrives.

How do real options affect project NPV?

Project NPV with options equals base NPV minus the cost of options plus the value of the options. Option value is zero or positive, so ignoring options usually understates a project, and a negative base NPV project may still be worth taking. Net value can fall only if the cost of acquiring an option exceeds its value.

What is the difference between an expansion option and an abandonment option?

An expansion option is call-like. It lets the firm invest more if conditions turn out good. An abandonment option is put-like. It lets the firm exit and recover salvage value if conditions turn out bad.

Do I need to price real options with Black-Scholes at Level I?

You should know that option pricing models and decision trees can value real options. Exam items mostly test identifying the option, its direction of value and simple NPV arithmetic rather than full model calculations.