Valuation

How to Present a Valuation Range Instead of a Single Fair Value

A valuation range should reflect assumptions rather than arbitrary upper and lower bounds. Learn to distinguish sensitivity from scenarios and explain the limits of probabilities and medians.

A valuation range shows how reasonable changes in growth, margins, discount rates, and other assumptions affect estimated value. It is useful only when the business conditions corresponding to the lower and upper bounds are explained. Distinguish it from a forecast band in which the stock must trade or a statistically validated confidence interval.

Distinguish the questions answered by sensitivity and scenarios

Sensitivity analysis examines changes in a particular variable while holding other conditions constant. Scenario analysis groups the ways revenue, prices, margins, and working capital move together under conditions such as weaker demand or greater competition. An upper bound combining only favorable inputs may be impossible to achieve simultaneously. Conversely, stacking every worst-case input into a lower bound can create the contradiction of perpetuating conditions under which the business would already have shut down. A few internally consistent situations are more helpful to interpret than simply widening the range.

Focus on the key variables driving the range

Varying every small cost item, including those with little effect on value, can obscure the important uncertainties. First identify the variables among revenue growth, normalized margins, reinvestment, and discount rates that materially change the result. For relative valuation, show the earnings range and applied multiple range separately, and explain why they are combined. Check whether a simple averaging approach involving low earnings and high multiples makes sense, and whether a multiple discount counts risk already included in earnings again. Record the reference date of the data used so comparisons on the same basis remain possible over time.

Provide a basis and interpretation when assigning probabilities

Labels such as optimistic, base, and pessimistic do not determine the likelihood of each situation. If you assign probabilities, check that they total 100% and that the situations are mutually exclusive; disclose that they are assumptions when evidence is weak. A probability-weighted value can differ from both the most likely realized value and a loss limit. A wide range does not necessarily indicate poor analysis; it may signal substantial uncertainty in the information and the business. When new results are released, record which conditions have become more or less likely rather than simply changing all the numbers. This helps improve the valuation.

Worked example

Hypothetical example: Values per share at the same date are KRW 6,000 in a pessimistic case, KRW 10,000 in a base case, and KRW 14,000 in an optimistic case. Assigning illustrative assumed probabilities of 25%, 50%, and 25%, respectively, gives a weighted average of KRW 10,000. This does not mean KRW 10,000 will necessarily be realized or that KRW 6,000 is a guaranteed floor. When comparing with a current price of KRW 9,000, consider both the gap to the average and the causes of the pessimistic case and potential further losses.

What to check

  • Are the business conditions corresponding to the lower and upper bounds clear?
  • Have you distinguished sensitivity from scenarios in which several variables change together?
  • Have you avoided counting the same risk in both earnings and multiples?
  • Have you stated the basis and total of the probabilities and the limits of interpreting the range?

Sources and primary materials

This is educational material about research methods. For an actual company decision, verify the filings and primary sources for the relevant period.

  1. NYU Stern — Probabilistic Approaches in Valuation ↗
  2. NYU Stern — Discounted Cashflow Valuation ↗