Preview
Investment Appraisal: Net Present Value (NPV)
IB DP Business Management — Unit 3: Finance and Accounts | HL | 3.8 Investment Appraisal (HL Extension)
📋 What You Will Learn
- Explain why money received in the future is worth less than money received today — the concept of the time value of money
- Define net present value (NPV) and state its formula using discount factors
- Calculate NPV from a table of cash flows and discount factors, and interpret the result as an investment decision
- Compare NPV with payback period and ARR, identifying when each method is most appropriate
- Evaluate the strengths and limitations of NPV as a tool for investment decision-making
- Apply NPV analysis to a real business scenario and produce a justified recommendation
📊 Topic Importance
| Paper | Relevance | Common Question Types |
|---|---|---|
| Paper 1 | High (HL) | Calculate NPV for the pre-seen company's investment; "Recommend" whether to proceed using NPV alongside other appraisal methods |
| Paper 2 | High (HL) | Section B: calculate NPV from a discount-factor table; Section C: evaluate NPV as a decision-making tool, linked to a concept (e.g. change, ethics) |
| Paper 3 (HL) | High | Use NPV to justify a capital investment recommendation for a social enterprise; weigh financial return against social mission |
🔍 Guiding Question When a business invests capital today in exchange for cash flows spread over several years, how can it determine whether the investment truly creates value — and is a positive NPV always enough reason to proceed?
🌍 Why This Matters In 2023, Tesla committed over $3.6 billion to expand its Nevada Gigafactory — a decision whose financial logic rests entirely on whether future revenues, discounted back to today's value, exceed the upfront cost. Without a tool like NPV, managers are comparing today's dollars with tomorrow's dollars as if they were equal — a fundamental error that can destroy shareholder value.
The Time Value of Money: Why Future Cash Flows Are Worth Less
Every investment appraisal method covered at SL — payback period and ARR — treats a dollar received in year 5 as identical to a dollar received today. This is a significant flaw. NPV corrects it by recognising the time value of money .
📘 Time Value of Money The principle that a sum of money available today is worth more than the same sum available in the future, because money available now can be invested to earn a return. Equivalently, future cash flows must be "discounted" to express them in today's terms.
Three reasons explain why future money is worth less than present money:
- Opportunity cost: money received today can be invested immediately to earn interest or returns elsewhere.
- Inflation: rising prices erode the purchasing power of a future sum.
- Risk: the further into the future a cash flow lies, the less certain it is to materialise.
🍎 Analogy: The Apple Today vs. Tomorrow Would you rather receive £1,000 today or £1,000 in three years? Most people prefer today — because they could deposit it at 5% and have £1,157.63 in three years. NPV