The Analyst's Path

Discount for lack of control

A discount for lack of control (DLOC) is the amount taken off the value of a controlling stake to reach a minority stake, whose holder can't direct the company's cash flows. It is the reciprocal of a control premium: DLOC = 1 − 1 / (1 + control premium). A 30% control premium therefore gives a DLOC of about 23.08%, and on a controlling value of 100 the minority figure is 76.92.

4 min readPart of Private Markets II: Private Debt, Real Assets/Infra & Private-Company ValuationOpen in course mode

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Every private-company valuation adjustment in this module answers exactly one of two questions: whose cash flows can this interest direct, and can the holder convert this interest to cash on demand? Stack the possible answers into a ladder, from most to least valuable per dollar of underlying earnings:

LevelCan direct the cash flows?Ready market?What it is
Controlling, marketableYesYesRare in practice, a control stake that also has a ready buyer, e.g., an actual announced public-company acquisition
Marketable minorityNoYesA public trading price / guideline-public-company multiple: what M3.06's comps machinery hands you directly
Nonmarketable controllingYesNoA private company's controlling stake, no forced buyer, no public market
Nonmarketable minorityNoNoA private company's minority stake, cannot direct cash flows and cannot force a sale or a dividend; the worst-off position, and correctly the deepest discount

Which adjustment applies at each level of value?

The two adjustments this module teaches move independently, in different directions, answering different questions. A control premium (or its reciprocal, a discount for lack of control, DLOC) moves you between "marketable minority" and "controlling", a question of whose cash flows you can direct. A discount for lack of marketability (DLOM) moves you down from "marketable" to "nonmarketable", a question of whether you can convert the stake to cash on your own timeline. Getting a private-company valuation right requires identifying exactly which corner of this table you have been asked to value, applying only the adjustment(s) that corner actually requires, in the right order, exactly once each. The most common failure in the entire discipline (flagged again in Common Mistakes and drilled in Practice P16) is stacking a DLOM on top of a value that was already built from private-transaction comparables (which themselves already embed a market's illiquidity discount in the price paid), silently double-counting the same adjustment under two different names.

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Control premium and DLOC

E11.02 measured a control premium off a public target's unaffected trading price in an announced deal, empirically often in the 20–40% range. A private company has no trading price at all, unaffected or otherwise, so the premium instead applies multiplicatively to a marketable-minority value you have already built (from guideline public comparables, per M3.06), converting "what a diversified portfolio investor would pay for a small, powerless slice" into "what a strategic buyer who can redirect 100% of the cash flows and strip out redundant costs would pay for the whole thing."

The reverse move (DLOC) converts a value built on a controlling assumption (say, a DCF that presumes the buyer sets capex, compensation, and dividend policy freely) back down to what a powerless minority holder's pro-rata slice is genuinely worth. The relationship is a reciprocal, not a subtraction, and this is the single most common numerical error in the whole discipline:

DLOC = 1 − 1 / (1 + control premium)

What happens if you subtract the control premium?

A 30% control premium implies a DLOC of roughly 23.08%, not 30%, worked exactly in Worked Example 6 and drilled again in Practice P12. Subtracting the control-premium percentage directly, as if the two moves were symmetric, applies a 30% discount where 23.08% is correct, so it overstates the discount and understates what the minority holder's stake is worth. On a controlling value of 100 the correct minority figure is 76.92 and the naive one is 70.00, a shortfall of 6.92, or 9.00% of the right answer, which is the wrong direction to be wrong in when the number is going into a family settlement or a tax filing. Check it by hand every time you use it.

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Part of the course

This page is part of Private Markets II: Private Debt, Real Assets/Infra & Private-Company Valuation (PW1.03), in Phase 12: Finance Plus, AI and the quant-code track. The module's flashcards and its quiz are in the app.