The Bridge from Free Cash Flow to the Firm to Free Cash Flow to Equity

The fourth bridge brings in a lender. Until now the business has been valued as a whole, its cash belonging to everyone who might finance it, with no view on how that financing is split. Here the split is made. A senior lender takes the first claim on the cash, and the owners keep what is left after interest, principal and any new borrowing. Every measure on the bridge is one a lender computes before an equity buyer does, and the bridge ends at the figure the equity buyer cares about: free cash flow to equity.

It starts at free cash flow to the firm, priced on an enterprise discounted cash flow. It ends at free cash flow to equity, valued on a discounted cash flow of the owners' own cash. The framework allows that valuation only because the business's leverage is stable and its debt has been serviced, and it always reconciles the result to the enterprise valuation carried forward from the previous anchor.

A lender between the business and its value

From here on, a lender's credit committee stands between the business and its equity value. The cash flow is judged first on whether it can carry debt through a downside, and only then on what it leaves over. The buyer is now an equity investor underwriting alongside a senior lender. That buyer will pay for cash flow that has been seen to service its own debt through a bad quarter, and nothing at all for borrowing that rests on the owner's personal guarantee or on the owner's friendship with a bank manager.

So the owner has something new to prove. On the third bridge the business showed that its cash was real and could be forecast. On this one it has to show that the cash survives a claim that ranks ahead of the owners, is tested every month and does not forgive a bad quarter.

Debt creates no value by itself

Many owners believe that borrowing makes a business more valuable. It does not. A business is worth the value of its cash flows, and dividing those cash flows between a lender and the owners leaves them the same size. The weighted cost of the business's capital stays where it was however the claims are split, because the owners' claim gets riskier as debt is added and its required return rises to match.

Two exceptions pull in opposite directions. Interest is deductible for tax, so debt lowers the tax the business pays, and that saving is the tax shield. Debt also brings the risk of distress: a covenant breached, a refinancing that fails, a rise in rates the cash flow cannot absorb, each followed by fees, forced sales and growth abandoned. A sensible amount of debt earns the shield at a small risk of distress. Too much earns a larger shield and a much larger risk.

That leaves four sources of value this bridge can honestly claim. The first is the tax shield itself: the entity's tax rate applied to the interest on the facility actually obtained, valued year by year for as long as the debt is carried, and counted once on the bridge, on the driver that sizes the facility. The second is distress avoided, which is the fall in the probability of a breach, a failed refinancing, a rate shock or a soft quarter the business cannot carry, multiplied by what that event would cost the owners. The third is growth protected under the debt: reinvestment that keeps going through a soft quarter instead of being cut to pay the lender, valued at the spread of its return over the cost of capital for the years the structure lets the plan run. The fourth is a narrower discount for illiquidity. A released personal guarantee removes a consent a buyer would otherwise have to obtain, and so lowers the cost of selling the business.

Everything else on the bridge moves the price, or the certainty of the number, and leaves the value where it was, however real it feels on the day of a sale.

That covers a good deal of what owners count as gains. The basis points a lender leaves off the margin because the reporting is reconciled, the basis points a second term sheet shaves off, the depth of the pool of lenders or of leveraged buyers, a buyer's haircut removed by better evidence, and the right to use the equity valuation at all are each recorded separately as price. So is a debt-like item found before closing instead of during it. All of them change what a buyer offers, and none of them changes what the business is worth.

The risks the valuation handles as scenarios get the same treatment on the tree. A breach, a failed refinancing, a rate move, or the owner's death while a guarantee is still in place is sized only as a change in that scenario's probability or its cost, and never as a lower required return. Each risk is then counted once, and the ranking of the drivers and the valuation of the business come out of one model.

Four levers

The tree carries the same four levers as every bridge: operating improvement, growth investment, portfolio moves and capital structure. Each row names the one it works. Most of the drivers here work the capital structure, as you would expect when the subject is a lender. One works growth investment, by making sure the debt does not stop the business reinvesting. The portfolio lever, acquiring or divesting, is ranked beside the operating drivers as one more reinvestment decision. An acquisition funded from an allowance in the loan agreement, or a line sold to repay debt, is a reinvestment decision like any other, and is valued at the spread of its return over the cost of capital.

The order of the work

The ranking rule is value moved per unit of effort and capital, with one correction: a driver whose only effect is on price ranks below every driver that moves one of the four sources of value, however much it does for the price obtained.

Growth Capacity ranks first because it is the only driver on the bridge that moves growth. Reinvestment the structure protects in a soft quarter earns the full spread of the return on new capital over the cost of capital for every year of the advantage period, and that spread compounds, while every other driver's effect is a one-time sum. It is also cheap, because the allowances and the undrawn line it needs are negotiated into documents the business is signing anyway.

Covenant Management is second, because the distress it avoids is the largest single loss the bridge can suffer. A breach puts the tax shield, the growth plan and the right to the equity valuation at risk all at once, and the work itself is a monthly test the finance lead already runs for the lender pack.

Facility Sizing is third. It fixes the size of the tax shield the bridge will ever earn, and once the facility closes the shield is the one source of value that is certain. It sits below the first two because its value is a sum that does not compound, and because the facility is worth its shield only while Covenant Management keeps it in place.

Levered Forecast comes next, as the work the sizing depends on. Then the portfolio lever, which can outrank everything above it for a business with an evidenced acquisition return or a line earning below its cost of capital, and sits fifth only where neither is on the register. Facility Close follows and carries no rank of its own. Its value is mostly permission and price, though the guarantee it releases is where the cost of selling the business falls. After it come Rate Risk, Lender Reporting, Capital Structure File, Seasoning, Lender Relationships and the Equity Value File. The last five are price effects, or files that remove error. Their value is real but indirect, and they are worked in the order the lender requires them, which is not the order value would choose.

The ranking sets the incentives. Each ranked driver's seat is paid against its own measure, on a curve written into the seat's agreement, under two rules. Nothing is paid for a result that moves only a price effect. And no curve pays more for beating a target when beating it would raise a risk another seat is paid to hold down. So the finance lead is paid in full for a facility of the size the downside case supports and nothing extra for a larger one, because more debt raises the breach probability the same lead is paid, under Covenant Management, to keep low. An acquisition is paid for only once its return has been measured on its own capital, at the return it was approved on, and never for its size.

The destination: free cash flow to equity

Free cash flow to equity is free cash flow to the firm, less interest after tax, less principal repaid, plus net new borrowing. It is the cash the owners could take out of the business in a year once the lenders have been paid what they are owed.

The underwriter is an equity buyer working alongside a senior lender's credit committee. It refuses to pay for cash flow that cannot carry its own debt, for debt that has never been seen through a bad quarter, or for borrowing that rests on the owner. The lender prices its claim at a cost of debt. The equity holder prices the residual at a cost of equity relevered for that debt, which is higher than the unlevered cost because the residual is riskier. Between them they leave the weighted cost of capital where it was, apart from the tax shield, so what this anchor changes is which buyers can bid and what they pay.

The essay on what free cash flow to equity is worth sets out the valuation at this anchor, which values the owners' cash directly and reconciles it to the enterprise valuation. The deliverables follow the four spans. The first leaves lender packs and a capital structure file. The second leaves a levered forecast with its record, a facility sized to the downside and a structure that funds growth. The third leaves executed documents, covenant certificates, a rate policy and the guarantees released, and the fourth a seasoning memo, a second lender's indication, and the file that reconciles the two equity values.

The starting point: inspecting free cash flow to the firm

The bridge opens by inspecting the third bridge's deliverables line by line, against the bar a lender's analyst would set. The inspection asks whether the cash is real, which covers the classified capital spending and the asset register, the working-capital definition and peg, the balance sheet, the schedule of debt-like items, the cash flow statements and the forecast's accuracy record. It asks what the business is and what tax it bears, through the tax memo and the perimeter of sale. It asks whether the future can be forecast, which means the budget record, the integrated model, the reinvestment register, the incremental margin and the growth-period statement. It asks what the business is worth, reading the valuation file from the return on capital and the competitor map to the cost of capital, the scenarios and the price reversal log. And it asks whether the last crossing paid the owner. A business that fails a line goes back to the first span of the third bridge whose measure it cannot show.

The same inspection lists the ways a business slips off free cash flow to the firm, and they read as the third bridge's discipline lapsing: maintenance deferred, the capitalization policy bent to flatter a year, working capital ballooning, debt-like items piling up off the schedule, the cash forecast going stale, forecasts missing without explanation, growth spending no longer tracked to what it earned, and the valuation file left unrefreshed until the rate and the scenarios drift.

Four spans

The first span runs from free cash flow to the firm to cash flow available for debt service, the lender's own definition of the business's cash. Lender Reporting produces that figure every month on the loan agreement's definition, reconciled to the statements, so the number a credit analyst computes is one the business already reports. Capital Structure File puts every claim that ranks ahead of the owners on one schedule, so the cash a lender counts is not cut later by obligations found in diligence. The span is crossed when lender-grade reporting exists and reconciles, and every debt and debt-like obligation sits on one schedule.

The second span runs to debt capacity: a coverage ratio and a leverage ratio a lender will put on a term sheet. Levered Forecast shows how much debt the cash flow carries in a downside, which is the case a credit committee sizes on. Facility Sizing turns the computed capacity into a facility sized to that downside, with no maturity crowding another, tested with more than one lender. Growth Capacity redefines capacity as the largest debt the cash flow carries while still funding its own growth, with the reinvestment plan protected in the documents. The span is crossed when a lender has issued, or would issue, a term sheet on the business's own cash flow, sized against the downside, with the reinvestment plan funded inside the structure instead of cut to fit it.

The third span runs to levered cash flow, with the debt in place and interest and principal deducted. Facility Close puts the debt in place on documented terms, with the security and guarantees given by the company and no longer by the owner. Covenant Management keeps it there, testing every covenant monthly, ahead of the lender, with headroom held. Rate Risk limits how much of the interest line can move, so levered cash flow can be forecast even though interest rates cannot. The span is crossed when covenants are met with headroom and managed by a finance function, the owner's guarantees are released or on a written path to release, and rate exposure sits within a written policy.

The fourth span runs to free cash flow to equity. Seasoning proves that levered cash flow survives stress: debt serviced on schedule through a soft quarter or a refinancing, with no breach and none of the owner's money. Lender Relationships turns net borrowing into a decision the company makes, where it used to be the owner's, with a second lender ready and every maturity planned. The Equity Value File produces the inputs the valuation consumes: the reconciliation of the two equity values, the cost of equity relevered year by year as the debt amortizes, the scenarios under leverage, and the holder's return since the facility closed. The span is crossed when net borrowing is in the number, the business has serviced its debt through a soft period or a refinancing, and a second lender has shown it would refinance.

Who stops here

A business whose exit is a leveraged sale or a recapitalization should stop at free cash flow to equity. A private equity buyer financing the purchase with senior debt, or an owner taking money out through a recapitalization while keeping the business, needs what this bridge produces: cash flow shown to carry debt, a facility on documented terms, and an equity value computed behind the lender.

The fifth bridge, to cash available for distribution, is for a business that will be held for income, by the owner's family or by a buyer who wants yield. It builds the governance that makes distributions reliable: reserves, a policy, a board, an audit. Those cost money every year, and only a holder who keeps the business long enough recovers them. A business about to be sold to a leveraged buyer would be paying for governance the buyer will replace with its own.