Toward a New Theory of the Cost of Equity Capital

From David Merkel, Aleph Blog

I have never liked using MPT [Modern Portfolio Theory] for calculating the cost of equity capital for two reasons:

  • Beta is not a stable parameter; also, it does not measure risk well.
  • Company-specific risk is significant, and varies a great deal.  The effects on a company with a large amount of debt financing is significant.

What did they do in the old days?  They added a few percent on to where the company’s long debt traded, less for financially stable companies, more for those that took significant risks.  If less scientific, it was probably more accurate than MPT.  Science is often ill-applied to what may be an art.  Neoclassical economics is a beautiful shining edifice of mathematical complexity and practical uselessness.

I’ve also never been a fan of the Modigliani-Miller irrelevance theorems.  They are true in fair weather, but not in foul weather.  The costs of getting in financial stress are high, much less when a firm is teetering on the edge of insolvency.  The cost of financing assets goes up dramatically when a company needs financing in bad times.

But the fair weather use of the M-M theorems is still useful, in my opinion.  The cost of the combination of debt, equity and other instruments used to finance depends on the assets involved, and not the composition of the financing.  If one finances with equity only, the equityholders will demand less of a return, because the stock is less risky.  If there is a significant, but not prohibitively large slug of debt, the equity will be more risky, and will sell at a higher prospective return, or, a lower P/E or P/Free Cash Flow.

Securitization is another example of this.  I will use a securitization of commercial mortgages [CMBS], to serve as my example here.  There are often tranches rated AAA, AA+, AA, AA-, A+, A, A-, BBB+, BBB, BBB-, and junk-rated tranches, before ending with the residual tranche, which has the equity interest.

That is what the equity interest is – the party that gets the leftovers after all of the more senior capital interests get paid.  In many securitizations, that equity tranche is small, because the underlying assets are high quality.  The smaller the equity tranche, the greater percentage reward for success, and the greater possibility of a total wipeout if things go wrong.  That is the same calculus that lies behind highly levered corporations, and private equity.

All of this follows the contingent claims model that Merton posited regarding how debt should be priced, since the equityholders have the put option of giving the debtholders the firm if things go bad, but the equityholders have all of the upside if things go well.

So, using the M-M model, Merton’s model, and securitization, which are really all the same model, I can potentially develop estimates for where equities and debts should trade.  But for average investors, what does that mean?  How does that instruct us in how to value stock and bonds of the same company against each other?

There is a hierarchy of yields across the instruments that finance a corporation.  The driving rule should be that riskier instruments deserve higher yields.  Senior bonds trade with low yields, junior bonds at higher yields, and preferred stock at higher yields yet.  As for common stocks, they should trade at an earnings or FCF yield greater than that of the highest after-tax yield on debts and other instruments.

Thus, and application of contingent claims theory to the firm, much as Merton did it, should serve as a replacement for MPT in order to estimate the cost of capital for a firm, and for the equity itself.  Now, there are quantitative debt raters like Egan-Jones and the quantitative side of Moody’s – the part that bought KMV).  If they are not doing this already, this is another use for the model, to be able to consult with corporations over the cost of capital for a firm, and for the equity itself.  This can replace the use of beta in calculations of the cost of equity, and lead to a more sane measure of the weighted average cost of capital.

Values could then be used by private equity for a more accurate measurement of the cost of capital, and estimates of where a portfolio company could do and IPO.  The answer varies with the assets financed, and the degree of leverage already employed.  Beyond that, CFOs could use the data to see whether Wall Street was giving them fair financing options, and take advantage of finance when it is favorable.

Explore posts in the same categories: Investment, risk assessment, Trading


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