Real Options Valuation: Binomial Trees for Expand, Delay & Abandon Decisions
Value managerial flexibility like a corporate-finance pro: static vs expanded NPV, CRR binomial parameters, the underlying value tree, and the options to delay, expand, abandon and invest in stages, with a volatility sensitivity and summary charts, in 8 graded labs on one fictional copper mine.
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What you'll build
What you will be able to do
Each lab ends with a concrete result that you build yourself and the checker confirms, cell by cell.
- Value the Glenmora mine with a classic NPV, then add the right to walk away after year 1 and measure what that flexibility is worth.
- Turn the volatility of the mine value into the up and down factors and the risk-neutral probability of a binomial tree.
- Build the four-year binomial tree of the Glenmora mine value, the risk-neutral probability of every end node and two checks on the tree.
- Value Tarrow's right to wait up to four years before building the mine by rolling an option tree back from year 4 to today.
- Value Tarrow's right to add a second processing line to Glenmora and see how it turns a negative static NPV into a positive expanded NPV.
- Value Tarrow's right to close Glenmora and sell the equipment, and decide whether the mine is worth its asking price.
- Value Glenmora as a two-phase programme, where paying for phase 1 buys the option to build in phase 2, and compare it with committing to everything today.
- Value the delay option for six volatilities in one row-by-row formula, chart how the option value rises with σ, and summarise all four real options.
About this course
Static NPV assumes you commit today and never adjust, which undervalues projects with room to manoeuvre. This course puts a price on that flexibility. You set up binomial parameters for up and down moves and the risk-neutral probability, then build the underlying project value tree. On top of it you value an option to delay as an American call, an option to expand by paying to scale up and an option to abandon with salvage value as a put. A two-phase staged investment introduces compound options. A sensitivity lab shows how volatility drives option value and summarises the results in a chart. Designed for corporate finance students, strategy analysts and project evaluators.
Curriculum
Course content
8 lessons · 8 labs · 2.1 h · final exam
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Final exam
Certificate
Finish with a certificate you can verify
Complete every lesson and pass the final exam to receive a certificate of completion for this course, with a unique credential ID and a public verification page.
- Names the course, your score and the date of issue
- A verification link for your CV or LinkedIn profile
- 12 questions, 75% to pass, unlimited retries.
A Tutorvo certificate confirms that you completed a course. It is not an official or professional qualification.
Before you buy
Questions about this course
Is this a subscription?
No. You pay $9.99 once for this course. There is no subscription and nothing renews automatically. Prices are in US dollars; taxes may be added where required.
What exactly do I get?
All lessons and labs of this course, the final exam and the certificate, including later updates to the course, for as long as Tutorvo offers it. Access is personal and tied to your account.
Can I get a refund?
Yes. If you are not satisfied, email hello@tutorvo.com within 14 days of buying and we refund the course in full via Stripe. The guarantee does not apply once a certificate for the course has been issued to you, or where there are signs of abuse.
When can I start?
Right after payment. Access starts immediately at your request; for consumers in the EU/EEA the statutory right of withdrawal therefore ends once access has begun, while our 14-day money-back guarantee applies regardless.
Do I need Excel or other software?
No. The labs run in a spreadsheet inside your browser on a laptop, tablet or phone. Function names and syntax follow Excel.
Is the certificate an official qualification?
No. It confirms that you completed all lessons of the course and passed its final exam. It is not an official, state-recognised or professional qualification. The name is taken from your profile when the certificate is issued.
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