Email exchanges in March 2019 among:

Joseph Tham

Carlo Alberto Magni

Rauf Ibragimov




FCF is easier to sell than CCF to corporate audience. People love tp hear “free cash flows”. I guess it might be the reason it is so popular and Stern was the big sponsor in their book The Quest of Value.

FCF is the project cash flows..without concerning too much on TS. Many finance decisions at corporate life, they are more focused on whether ROA is higher than Kd when the financing decision comes up. TS becomes limited now since the tax authority limit debt to equity for max 4x. So we cannot exploit lnterest TS too much.



Dear all,

I see FCF as unnatural for the following reasons:

1) It is not the cash flow which is distributed to capital providers. It is only a part of the distributed cash flow (the one which does not depend on the capital structure)

2) the textboook WACC method assumes that a firm rebalances its leverage ratio. This is a strong assumption, most firms do not rebalance the leverage ratio (even more so if one is evaluating a single project rather than a firm).

Best regards

Carlo Alberto Magni

Rauf Ibragimov <> wrote:

The next moment a firm engages in the external financing transactions or retains cash, the FCF (as it is basically defined) becomes an artificial construct. CCF (as defined by Ruback) incorporates the tax advantage of debt, so it is an improvement (though, limited, as it builds on the FCF) in measuring cash available to satisfy existing claims. An advantage of the CCF approach in valuation could be no circularity and absent need to periodically recalculate the discount rate, however, forecasting CCF requires an explicit financing plan. The latter could be advantage as well, since implicit in the FCF-WACC approach is a generally unrealistic assumption of a constant leverage (market values) financing policy

As with the daily goods, consumer preferences follow the size of the marketing budgets for competing offers

Carlo Alberto MAGNI <> wrote:

Hi Mattia, thanks for your comments.

The FCF is one “part” of the CCF,  the TS being the other part:


Obviously, as you imply, either part of CCF may be positive or negative.

I agree that APV creates no confusion: both parts are discounted at the respective risk-adjusted rates of returns, and there is consistency in the both ratios in the following sense: The unlevered cost of assets (denominator) reflects the risk of FCF (numerator), and the discount rate for TS (denominator) reflects the risk of TS.

Precisely for this reason I do not like FCF-WACC method: it does not preserve consistency between numerator and denominator and turns an unlevered cash flow into a levered value. I see the WACC as a plug which is necessary to make the leap from unlevered perspective to levered perspective. While mathematically correct, it is conceptually unsatisfying and difficult to digest.

In contrast, CCF is discounted at a rate which is significant, because it is the mean of the discount rate for FCF and the discount rate for TS. This is rather natural, given that CCF may be viewed as a portfolio of FCF and TS. Further, since the discount rate for CCF is also equal to the average of cost of equity and cost of debt, we have two different perspectives for conceptualizing it: investment perspective and financing perspective, respectively. This reinforces its significance.

Best regards



Apparently simple,

May be difficult to apply,

Used for matching,

Effective as a check on consistency,

Potentially useful,

Practically difficult to estimate

Joseph Tham

Apparently simplistic,

Practically unknown,

Totally ignored and neglected,

Definitely simple,

Superior to the FCF,

Poorly marketed

Usefulness is underestimated

May be confusing for accountants


Indeed, one may  view the CCF method as a reframing of the APV method, where the two components, FCF and TS, are merged together into one single cash flow (the CCF) which represents is the cash flow which is distributed to investors. For this reason, It is also called “compressed APV”.

Investment perspective

VL = CCF/x = Vu+VTS = FCF/ku+TS/k^T


x=(ku Vu+ kT *VTS)/(Vu+VTS)

Financing perspective

VL = CCF/x = E+D = CFE/ke+ CFD/kd


x=(ke E+ kd D)/(E+D)

In finance textbooks the expression “CCF method” is mainly used with alongside the assumption kT=ku. This implies

x=ku=(ke E+ kd D)/(E+D)

so that V=CCF/ku.

The latter version has been introduced by Ruback.

Best regards

Carlo Alberto

Hmm. The disadvantages of CCF do not readily come to mind. However, in the spirit of full disclosure, we must confess that we not unbiased assessors since we have been unsuccessfully peddling the CCF over two decades!!!


I prefer CCF as intuitively much simpler than APV. I explain CCF in my lectures, not APV.


Carlo Alberto Magni

Dear Carlo,

Would you have a detailed financial example that would demonstrate clearly the superiority of CCF? I fully support Mattia’s skepticism. He is not happy with my hand waving and nontechnical explanations, understandably.




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