What is the primary difference between NPV and rNPV methodologies?

Question

BlackTom AI · Accepted Answer

rNPV explicitly adjusts each future cash flow by the probability of success for the stage in which that cash flow is realized, whereas traditional NPV embeds risk implicitly through the choice of a higher discount rate (or by adjusting cash flows indirectly).

Relevant concepts:
- NPV (Net Present Value): sum of expected future cash flows discounted to present value using a chosen discount rate: NPV = Σ (CFt / (1 + r)^t) − initial investment. Risk is typically handled by increasing r (risk-adjusted discount rate) or by using scenario-weighted cash flows.
- rNPV (risk-adjusted NPV): explicitly multiplies each future cash flow by the probability of technical/clinical/commercial success up to that point, then discounts: rNPV = Σ (CFt × PoS_t / (1 + r)^t) − initial investment. This makes the cash flows themselves probabilistic before discounting.

Step-by-step reasoning and a simple numeric illustration:
1. Suppose a project would generate $100M in year 3 if successful. Probability of success (PoS) = 50%. Choose discount rate r = 12%.
2. NPV approach (risk via discount rate): NPV = 100 / (1.12^3) = 100 / 1.4049 ≈ $71.2M (ignores explicit PoS).
3. rNPV approach (explicit PoS): expected CF = 100 × 0.5 = $50M; rNPV = 50 / (1.12^3) = 50 / 1.4049 ≈ $35.6M.
4. The rNPV result is lower because it reflects the chance of failure directly in the cash flows.

Why the correct answer is correct:
- It states that NPV incorporates risk through the discount rate only, while rNPV explicitly multiplies cash flows by probability of success—this captures the fundamental methodological difference: implicit risk adjustment via r versus explicit probability weighting of CFs.

Why other options are incorrect:
- “NPV uses a lower discount rate than rNPV”: Not generally true; the discount rate choice depends on analyst judgment, not a rule comparing NPV vs rNPV.
- “NPV and rNPV always produce identical valuations”: False, because explicit probability weighting changes expected cash flows and typically yields different results.
- “rNPV is only used for late-stage assets”: Incorrect; rNPV is commonly used for early-stage assets (e.g., biotech) where stage-specific failure probabilities are important.

Conclusion: The correct answer is “NPV incorporates risk through the discount rate only, while rNPV explicitly multiplies cash flows by probability of success at each stage,” which matches the provided answer.

What is the primary difference between NPV and rNPV methodologies?单项选择题

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