At the end of the fifth bridge, a business pays its owners under a written policy. Its reserves are funded and its maintenance floor is met, and the cash it keeps for growth earns more than its owners could earn elsewhere. A board with an independent member declares each distribution with its tests attached. Coverage has held through a downturn, on audited statements, and the payout has survived a change of owner or leader. Cash available for distribution is the figure that sums all of this up.
It is free cash flow to equity, less reserve contributions and growth reinvestment under a stated policy, sustained through a cycle. Free cash flow to equity is already after capital spending, working capital and debt service, so nothing is taken off twice: the maintenance floor, debt service and tax distributions are checks that the figure was computed correctly, not further subtractions. Some valuation writers call it potential dividends: what the business could pay every period while keeping its reserves and its reinvestment, evidenced by having paid it through a cycle.
The four valuations before this one could only defer a question this one has to answer: did the whole crossing create value for the person who holds the stake? This is also where a minority interest met at any earlier anchor gets valued. The earlier valuations were written for a controlling holder, and a minority stake in a private business is priced on what its holder will receive and when, which nothing before this anchor builds.
The story and the numbers it lands on
A yield buyer is asked to believe that the business can pay out a stated share of its cash every period, under written rules, after its reserves and reinvestment are funded, and that it has come through a bad year and a change of hands. If that is true, the payout belongs to a policy the board enforces and no longer to whatever the owner chooses.
As at every anchor, the story is tested at three strengths. The audited statements, the distribution history and the reconciled tax distributions show that the cash exists and the payout came from it. The coverage record, the reserves, the maintenance floor and the continuity provisions show that the payout survives a bad year and a change of owner. And the policy, the board, the owners' agreement, the growth stance, the return on retained cash and the maturity year show that the payout and its growth persist under rules no single owner can override.
Then the story becomes numbers. The payout ratio and the stress case set the expected distribution, the retention rate and the return on retained cash set its growth, the maturity year sets how long that growth lasts, and the buy-sell's triggers set how long a holder can expect to hold. One downturn and one change survived are evidence the business can come through each, so the forecast carries the base rate for both, and the business's own record adds weight only as it lengthens.
Whose value, and at what level
The standard is fair market value, for a sale to a yield buyer or between owners by agreement. Wherever the number goes to a court, statutory fair value is used, and the discounts for illiquidity and for a minority position apply only where the governing law permits them. Investment value to a family holder is computed beside it when the family's required return, tax position or intention never to sell changes the answer.
The business is valued as a going concern, with the liquidation alternative computed at the level of the equity: what the assets would fetch in an orderly sale, less the costs of selling and winding down, the facility payoff and the taxes the sale triggers. The file carries both figures every year, because a payout funded while the two are converging is being drawn from the liquidation value.
Level of value matters more at this anchor than anywhere else in the framework, because this is where minority stakes change hands: under the buy-sell, between family members, or to a passive investor. Every number names one of three levels. Marketable minority is the base, the capitalized distributions at the cost of equity before any discount for the holder's inability to sell. Control adds any control value that has a named source, and is valued on the owners' cash flow carried forward from the previous anchor. Nonmarketable minority subtracts the computed discount for illiquidity.
Buy-sell, estate and divorce valuations are decided here, so the file follows the applicable appraisal standard in full, and the buy-sell fixes in advance the level, mechanism and procedure by which a departing owner is paid.
Two stages, never one perpetuity
A minority holder's payout is capitalized in two stages.
Two stages, not one perpetuity
Illustrative, with a first stage that ends at the policy's maturity year, five years out to start. Each year's distribution grows at the sustainable rate and is discounted at the cost of equity; after the maturity year the payout grows at a mature rate no higher than the economy's, capitalized at the cost of equity less that rate. Move the maturity year to see how much the length of the growth is worth.
The first stage runs from the next payout to the maturity year the policy states. Each year's distribution grows at the sustainable rate and is discounted at the holder's cost of equity. The second stage is the value, at the maturity year, of everything after it: the next year's distribution, growing at a mature rate no higher than the long-run growth of the economy, capitalized at the cost of equity less that rate, and discounted back. In the illustration, a payout of $400,000 growing at 2.8 percent for five years and 2 percent after, at an 11 percent cost of equity, is worth about $4.56 million. Assume the early growth lasts forever and the figure becomes $4.88 million. That gap is the overstatement a single perpetuity produces, and the framework records it as a finding. In the illustration, ending the early growth at year three instead of year five gives about $4.51 million, and at year ten about $4.66 million.
For a controlling holder, the value is the discounted owners' cash from the previous anchor, reconciled to the enterprise valuation beside it. The control and minority values are then reconciled to each other, and only matters of level may explain the difference: the cash a controller could redirect, the holding period a minority holder cannot shorten, and the discount for illiquidity. A difference that traces to none of them is an error in one of the two valuations. Yield comparables, the yields at which comparable income vehicles trade, are kept as pricing evidence with their drivers stated, and they never govern.
The lowest required return in the framework
The marginal investor is fully diversified and passive. Its cost of equity is the sector's market beta, relevered in each period to the actual leverage the debt schedule shows as the facility amortizes. The earlier anchors traced a convergence from the return a concentrated owner requires toward the return a diversified holder requires, and it finishes here.
No premium is added for size or for the business's particular risks, because each of those risks is already counted somewhere. The risk that the payout starves the business sits in the reserve and reinvestment deductions, a bad-year cut in the downturn scenario, a holder's inability to exit in the holding-period premium, and a governance failure in its own scenario. None is put in the rate as well. The required return is lower here because of the investor's diversification, not because of the debt.
Whether growth counts
Growth has to pass two tests. The return on invested capital must clear the weighted cost of capital, on the framework's one definition, and the levered return on retained cash must clear the cost of equity in every year of the recent record. The second test is there because the growth a yield buyer capitalizes is paid for with retained cash, so it has to clear the holder's own rate. The barrier to competition is read from a current competitor map that records competitors entering and leaving as well as their shares, since a market that competitors enter and leave freely has no barrier, whatever the shares show. If either return fails, or no barrier can be read, distribution growth is valued at zero, and the policy is treated as a no-growth payout for valuation whatever its growth stance says.
Growth that passes is the retention rate times the incremental levered return on retained cash, shrunk toward the base rate for income-producing private businesses of this size. It lasts for an advantage period no longer than the base rate allows and ending no later than the policy's maturity year, then fades to the cost of equity. After the convergence year, retention neither adds value nor destroys it, and the payout ratio rises as the policy says it will. Growth by acquisition is tested separately at its own return, so that a payout grown by acquisitions earning their cost of equity is not capitalized as though it came from retained cash earning more.
Three layers
The three layers are compared at one level, never one of each: the equity level on the minority side, the enterprise level on the control side. Reproduction value now includes one more intangible, the governance itself (the board, the policies and the audit relationship), at what it costs to establish. Earnings power value is the no-growth payout capitalized at the cost of equity. The value of growth is whatever passes the tests. At this anchor, earnings power below reproduction value means the payout is being funded by assets the business is not reproducing, and the file reports it as such.
A discount that is computed
The discount for illiquidity here is computed from the holder's position, and it cannot come out at zero. The holder's cash flows, meaning the distributions expected during the holding period and the value of the interest at its end, are discounted at a holding-period return: the cost of equity plus a premium for owning a stake that cannot be sold at will.
The price of not being able to sell
Illustrative, and simplified to a single perpetuity; the file discounts the holding period's distributions and the value at exit. A holder who cannot sell at will requires a premium over the cost of equity, built from four components, and the discount is how much that premium lowers the value of the same payout.
Four things build the premium. The first is how uncertain the holding period is, estimated from the buy-sell's triggers, the owners' ages and circumstances, and the written liquidity route. The others are how much the payout varies, read from the coverage record, what an exit will cost at the end, and how many buyers exist for an interest of this kind and size. A funded buy-sell with a fixed procedure narrows the first, a steady coverage record narrows the second, and fixed terms lower the third, which is how Continuity, Coverage Management and the policy move value. A controller chooses the holding period and the distributions, so for a controlling interest only the last two apply.
The result is checked against published studies of restricted stock and pre-public-offering sales. Which figure governs depends on who relies on it: the computed figure for a buyer or the board, a benchmark where a court or tax authority will rely on it. A control premium is applied only where a source of control value has been identified and sized.
Reconciliation, the margin, and the holder's return
The approaches are weighted by the strength of their evidence, and with audited statements and a quarterly record that runs through a downturn, the income approach governs. The value is built before anyone sees an offer, appraisal or yield quote. Every price the business then meets, including the buy-sell appraisal and any offer for a minority stake, is reversed into what it implies, one input at a time: the yield, then the growth, then the holding period. A price that implies growth above the base rate, or a holding period shorter than the buy-sell supports, is a bet the buyer is making.
Scenarios sit beside the base case: a downturn that takes coverage below one, with the cut and restore rules applied; a governance failure that leaves the independent seat empty; a forced buy-sell of a controlling owner at the funded value; and the same events for each co-owner. One rule computes the margin of safety, so two people with the same file reach the same number, and for a minority interest the uncertainty of the holding period widens it. Every expectation the value rests on has a signpost, from quarterly coverage to the independent member's attendance, and a signpost that fires reopens the valuation before the annual review.
The last computation, the holder's realized return, is the test of the whole crossing. It is the distributions received plus the change in value over the period, on the same level of value at both ends, set against the required return for that level, with what the business paid and what it could have paid beside it. A holder who earned less than the required return was not served by the bridges, however much the business earned.
Who underwrites it
The underwriter is an income investor, a holding company, or a family that never sells. It will not pay for a payout that starves the business or for a policy that exists only on paper. Because it is fully diversified and passive, holding this business as one yield among many, its required return is the lowest at any anchor.
The last checkpoint
There is no sixth bridge to inspect what this one produced, so the framework's last checkpoint stands on its own. A yield buyer, an appraiser under the buy-sell or a court will apply it, and the board can apply it to itself every year.
It starts with the record. The statements are audited, year after year, with unqualified opinions and the management letters closed. Every quarter in the distribution history has a distribution computed on the policy's worksheet and paid as computed, reserves at their rule in separate accounts, and coverage at or above the policy level and never below one, through at least one downturn or a stress test that stands in for one. Tax distributions reconcile in every year of the record, and an asset register carries current quotes, with maintenance at the floor in each recent year.
Then come the rules and the people who keep them. The board has adopted a distribution policy whose ratio is sized to a stress case, with cut and restore rules and an amendment rule that needs the independent member, and that member has held the seat for some years. Every distribution was approved with its tests, followed the owners' agreement and has a legality test in its file, and the owners receive a quarterly report. The policy states a growth stance and a maturity year, and the return on retained cash is above the cost of equity. A funded buy-sell covers every owner and every trigger, every senior seat has a successor, and a change of owner or leader has already been survived.
Last is the valuation file: the reconciliation between levels of value, the holder's cash flows and return, the cost of equity, the scenarios, the log of reversed prices, the competitor map, and a transfer plan for each route by which ownership might pass.
Does the business hold the last checkpoint?
The framework's last checkpoint, in the order the record, the rules and the file are read. There is no sixth bridge, so the first check that fails sends the business back to the span of this bridge that builds it.
A business slips off this anchor when the fifth bridge's disciplines lapse, and they lapse in recognisable ways. Reserves are drawn and not refilled, maintenance is deferred to protect the payout, or distributions grow faster than retained cash can earn. The ratio drifts up and the policy is amended to fit. Family pressure overrides the policy outside the board, the independent seat sits empty, a distribution is paid in breach of a test, or the audit slips back to a review. A death or exit arrives with the buy-sell unfunded, or a transfer is improvised when it comes. The growth stance is dropped without anyone saying so, or growth is assumed to run past its maturity year. And the file goes stale: a stake is priced with its level of value unstated, the holder's cash flows are not updated when an owner's circumstances change, and a paid distribution is taken for value created.
A business that holds this checkpoint has done what the framework regards as complete. Its owners can keep it and take the income. They can sell a stake to whichever buyer pays most for a reliable yield, or sell the whole business to a buyer at any earlier anchor, with a record every one of those buyers would read as proof. Or they can stop running it and keep being paid.