{"id":79,"date":"2021-05-14T02:13:02","date_gmt":"2021-05-14T02:13:02","guid":{"rendered":"http:\/\/mclelland-financial-economics.com\/?p=79"},"modified":"2022-02-18T04:03:57","modified_gmt":"2022-02-18T04:03:57","slug":"avast-are-we-not-valuation-analysts-no-we-are-valuation-assumers","status":"publish","type":"post","link":"https:\/\/mclelland-financial-economics.com\/?p=79","title":{"rendered":"Avast! Are we not valuation analysts? No. We are valuation assumers."},"content":{"rendered":"\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Happy-Guy-Fawkes-Day.jpg\" alt=\"\" class=\"wp-image-80\" width=\"694\" height=\"358\" srcset=\"https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Happy-Guy-Fawkes-Day.jpg 313w, https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Happy-Guy-Fawkes-Day-300x154.jpg 300w\" sizes=\"auto, (max-width: 694px) 100vw, 694px\" \/><figcaption>Guy Fawkes Night<\/figcaption><\/figure>\n\n\n\n<p><em>Those in the sub-discipline of the finance profession employed in estimating values of privately-held and -traded capital assets refer to themselves by a fascinating array of\u2013sometimes dyseuphonic\u2013titles including business appraisers, valuers, valuators, valuation advisors, valuation consultants, valuation specialists, and valuation analysts. A potential title not yet used\u2013for obvious reasons\u2013would be&nbsp;<\/em>\u201cvaluation assumers\u201d;<em>&nbsp;though, as will be seen, it would seem appropriate in many cases.&nbsp;<\/em>:- )<\/p>\n\n\n\n<p><em>Let\u2019s focus on the title&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.nacva.com\/cva\" target=\"_blank\">valuation analyst<\/a>&nbsp;because it is (1) used by&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.nacva.com\/\" target=\"_blank\">NACVA (National Association of Certified Valuators and Analysts)<\/a>, which is one of the largest professional associations related to capital asset valuation in the world in recent years, and (2)&nbsp;<\/em>analysis<em>&nbsp;is the most descriptive explanation of what valuation professionals are actually supposed to do. Consider the following definition:<\/em><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p><strong>anal\u00b7\u200by\u00b7\u200bsis \\ \u0259-\u02c8na-l\u0259-s\u0259s \\<\/strong>&nbsp;1a<strong>:&nbsp;<\/strong>a detailed examination of anything complex in order to understand its nature or to determine its essential features<strong>&nbsp;\/\/&nbsp;<\/strong>a thorough study doing a careful analysis of the problem; 1b<strong>:&nbsp;<\/strong>a statement of such an examination. 2<strong>:&nbsp;<\/strong>separation of a whole into its component parts. 3a<strong>:&nbsp;<\/strong>the identification or separation of ingredients of a substance \/\/ a chemical analysis of the soil; 3b<strong>:&nbsp;<\/strong>a statement of the constituents of a mixture.<\/p><cite>https:\/\/www.merriam-webster.com\/dictionary\/analysis<\/cite><\/blockquote>\n\n\n\n<p>.<br><em>I\u2019ve asserted that valuation professionals often might be more accurately called valuation assumers, but according to the most descriptive title they call themselves valuation analysts. So, which is it: Are valuation professionals more like analysts or more like assumers? And why does this matter?<\/em><\/p>\n\n\n\n<p><em>A caveat before we begin: I want to say that I personally find NACVA to be a serious professional association that does its best to certify and develop competent valuation professionals; and to my knowledge provides the only valuation profession credential accredited by the&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.credentialingexcellence.org\/ncca\" target=\"_blank\">National Commission for Certifying Agencies<\/a>&nbsp;in the US. So, this article is not a criticism of NACVA; it is an observation about the valuation profession taken as a whole. With this caveat, let\u2019s begin \u2026<\/em><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"1-what-does-it-mean-to-analyze-value\">1. What does it mean to analyze value?<\/h3>\n\n\n\n<p><span style=\"text-decoration: underline;\">Business valuation professionals value capital assets.<\/span>&nbsp;This article is about what professionals call \u201cbusiness valuation\u201d and what academics call \u201casset pricing.\u201d There are important reasons why the terminology matters\u2013which I will avoid for the sake of brevity\u2013but to be clear this article is about estimating the value of&nbsp;<em>capital assets<\/em>; assets that provide pay-offs in terms of cash flows rather than assets that provide service flows (e.g., human capital, natural resources, etc.).<\/p>\n\n\n\n<p><span style=\"text-decoration: underline;\">Capital asset values depend on expected future cash flows<\/span>, which is to say that the \u201c<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.investopedia.com\/terms\/m\/market-approach.asp\" target=\"_blank\">market approach<\/a>\u201d to valuation is often irrelevant or inappropriate for many capital assets. But many professionals in corporate finance, equity analysis, and valuation believe that the value of equity interests can be estimated using&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/en.wikipedia.org\/wiki\/Valuation_using_multiples\" target=\"_blank\">equity pricing multiples<\/a>&nbsp;of \u201ccomparable companies.\u201d It can be shown that using equity pricing multiple results in high variance and, therefore, unreliable value estimates \u2026 and we know why: No company is exactly comparable to the equity interest being valued, particularly in terms of the risk exposures and the sensitivity of cash flows to such risks (cf.&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.amazon.com\/International-cost-capital-estimation-Methods\/dp\/179695943X\" target=\"_blank\">McLelland<\/a>).<\/p>\n\n\n\n<p>So using equity pricing multiples to estimate equity value will provide, at best, a (usually broad) range of valuation estimates. Why would anyone engage a valuation professional for estimating a broad range of values, when they could do the same thing themselves in about 30 minutes? (They wouldn\u2019t and they don\u2019t, which is why in some respects the valuation profession is presently in a minor state of crisis.) Moreover, not all capital assets are equity interests. We need general methods for estimating value and the most general method, upon which all modern asset pricing theory is based, is what is informally known as the discounted cash flow (DCF) method: The value of any capital asset, including derivatives, can be estimated using the DCF method; not just equity interests.<\/p>\n\n\n\n<p><span style=\"text-decoration: underline;\">Capital markets price risks.<\/span>&nbsp;We know from asset pricing theory and empirical evidence that buyers and sellers in the capital market&nbsp;<em>price, hedge, and diversify risks<\/em>; this is not a hypothesis. The capital market does not price assets or even cash flows per se; the market prices risks and such pricing is accomplished through the aggregate buying, selling, hedging, and diversification activities of traders; their aggregate activities all influence, and result in, the market prices of risks (cf.&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.amazon.com\/International-cost-capital-estimation-Methods\/dp\/179695943X\" target=\"_blank\">McLelland<\/a>).<\/p>\n\n\n\n<p>For those who believe capital markets price either capital assets or cash flow streams directly, consider the following question: How do you determine the&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/en.wikipedia.org\/wiki\/Opportunity_cost\" target=\"_blank\">opportunity cost<\/a>&nbsp;of investing in a particular asset or cash flow stream? The answer is that there is only one, optimal way to do this according to all modern asset pricing theories (<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/en.wikipedia.org\/wiki\/Capital_asset_pricing_model\" target=\"_blank\">CAPM<\/a>,&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/en.wikipedia.org\/wiki\/Arbitrage_pricing_theory\" target=\"_blank\">APT<\/a>,&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/en.wikipedia.org\/wiki\/Risk_premium\" target=\"_blank\">certainty-equivalent (risk-neutral) pricing theory<\/a>): determine the sensitivity of the asset\u2019s cash flows stream to various risk factors; estimate the way the capital market prices those risk factors; and, then, derive a risk-adjusted expected market rate of return for the particular set of risk sensitivities of the asset and the market prices of the risk factors (cf.&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.amazon.com\/International-cost-capital-estimation-Methods\/dp\/179695943X\" target=\"_blank\">McLelland<\/a>). This&nbsp;<em>opportunity cost of capital<\/em>&nbsp;is the risk-adjusted discount rate that, when used in the DCF method, results in expected opportunity cost of the asset; hence it\u2019s estimated \u201cvalue.\u201d This opportunity cost of capital does not depend on the magnitude of the asset or its cash flows; it depends only on risk sensitivities.<\/p>\n\n\n\n<p><span style=\"text-decoration: underline;\">Analyzing cash flow risks, risk sensitivities, and market prices of risks.<\/span>&nbsp;It follows from this discussion that there are just a few things to be analyzed when analyzing the expected value of a capital asset:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"734\" height=\"226\" src=\"https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-1.gif\" alt=\"\" class=\"wp-image-82\"\/><\/figure>\n\n\n\n<p>So,&nbsp;<em>analyzing value<\/em>&nbsp;means (1) analyzing the expected risk sensitivities of future cash flows (i.e., the sensitivity of the expected future cash flows of the asset to all significant risk factors priced in the capital market), (2) analyzing the way the capital market prices the risks, and (3) analyzing how market risk prices determine the opportunity cost of capital for the asset based on the risk factor sensitivities of the asset\u2019s cash flows (cf.&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.amazon.com\/International-cost-capital-estimation-Methods\/dp\/179695943X\" target=\"_blank\">McLelland<\/a>). It really is as simple\u2013or as complex, depending on one\u2019s perspective\u2013as that; there\u2019s nothing more to capital asset valuation than this.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"2-what-do-valuation-analysts-actually-do\">2. What do valuation analysts actually do?<\/h3>\n\n\n\n<p><span style=\"text-decoration: underline;\">Considering versus analyzing.<\/span>&nbsp;At this point the interested reader is likely saying something like \u201cSo what? What you describe in Steps (1), (2), and (3) is exactly what valuation professionals do!\u201d Well, yes and no \u2026 but mainly no. It\u2019s true that valuation professionals always&nbsp;<em>consider<\/em>&nbsp;risk sensitivities, market risk prices (premiums), and base risk-adjusted discount rates on those considerations. But&nbsp;<em>considering<\/em>&nbsp;is not at all the same thing as&nbsp;<em>analyzing<\/em>. To&nbsp;<em><a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.merriam-webster.com\/dictionary\/consider\" target=\"_blank\">consider<\/a><\/em>&nbsp;something is an informal, subjective thinking exercise, mainly used to develop a subjective opinion;&nbsp;<em>analysis<\/em>&nbsp;is a more formal, objective exercise usually intended to make an objective statement about a particular subject; in this case the value of a capital asset. In most real world applications of valuation methods I\u2019m familiar with,&nbsp;<em>considering<\/em>&nbsp;something is a great starting point for&nbsp;<em>analysis<\/em>&nbsp;but it is certainly not a substitute.<\/p>\n\n\n\n<p><span style=\"text-decoration: underline;\">Lack of analysis necessarily leads to assumptions.<\/span>&nbsp;What, more precisely, is the difference between&nbsp;<em>considering<\/em>&nbsp;valuation factors and&nbsp;<em>analyzing<\/em>&nbsp;valuation factors? To answer the question, I want to share with you an actual real world example of an estimated&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.myaccountingcourse.com\/accounting-dictionary\/risk-adjusted-discount-rate\" target=\"_blank\">risk-adjusted discount rate<\/a>&nbsp;developed by a well-known and respected international financial advisory firm with over 1,000 employees worldwide to estimate the&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/en.wikipedia.org\/wiki\/Fair_market_value\" target=\"_blank\">fair market value<\/a>&nbsp;of a 100% equity interest in a company involved in commercial litigation in a&nbsp;<a href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/en.wikipedia.org\/wiki\/United_States_district_court\" target=\"_blank\" rel=\"noreferrer noopener\">US Federal District Court<\/a>:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"942\" height=\"272\" src=\"https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-2.gif\" alt=\"\" class=\"wp-image-84\"\/><\/figure>\n\n\n\n<p>The .185 (18.5%) estimated risk-adjusted discount rate\u2013what the valuation experts assert is the opportunity cost of capital for the 100% equity interest in a a small closely-held enterprise in the communications technology industry\u2013was the average of two estimates; one based on&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/en.wikipedia.org\/wiki\/Capital_asset_pricing_model\" target=\"_blank\">CAPM<\/a>&nbsp;and one based on the \u201c<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/gyf.com\/costofcap-discount-rates\/\" target=\"_blank\">build-up method<\/a>\u201d (BUM). On the surface, it certainly&nbsp;<em>looks<\/em>&nbsp;like the valuation experts analyzed the discount rate: they (seemingly) analyzed some components of cost of capital suggested by asset pricing theory and by common valuation practice to develop estimates of each component risk premium. But on closer examination of their valuation report it could be seen that what they did can barely be considered&nbsp;<em>analysis<\/em>; they basically just&nbsp;<em>considered<\/em>&nbsp;things and then made assumptions:<\/p>\n\n\n\n<p><strong>Risk free rate<\/strong>&nbsp;\u2014 The&nbsp;<em>risk-free rate<\/em>&nbsp;component of .035 (3.5%) was obtained not from&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.treasury.gov\/resource-center\/data-chart-center\/interest-rates\/Pages\/TextView.aspx?data=realyield\" target=\"_blank\">observable market yields-to-maturity available<\/a>&nbsp;at the 31 March 2019 valuation date, but from the&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.duffandphelps.com\/-\/media\/assets\/pdfs\/publications\/valuation\/valuation-insights\/valuation-insights-q1-2019.ashx?la=en\" target=\"_blank\">apparently subjective<\/a><a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.duffandphelps.com\/-\/media\/assets\/pdfs\/publications\/valuation\/coc\/erp-risk-free-rates-jan-2008-present.ashx?la=en\" target=\"_blank\">&nbsp;opinions<\/a>&nbsp;of other valuation professionals. Hence the valuation experts made the counterfactual&nbsp;<strong>assumption<\/strong>&nbsp;that the subjective opinions of other valuation professionals were equivalent to the risk-free rates actually available in the capital market.<\/p>\n\n\n\n<p><strong>CAPM risk premium<\/strong>&nbsp;\u2014 The CAPM-based risk premium was again based on the same&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.duffandphelps.com\/-\/media\/assets\/pdfs\/publications\/valuation\/coc\/erp-risk-free-rates-jan-2008-present.ashx?la=en\" target=\"_blank\">subjective opinions of other valuation professionals<\/a>&nbsp;with respect to the expected aggregate equity market rate of return of .09 (9.0%) and the .035 risk-free rate, which resulted in an equity market risk premium of .055 (5.5%). The sensitivity of the subject equity interest\u2019s cash flows to aggregate equity market risk is&nbsp;<strong>assumed<\/strong>&nbsp;by the valuation experts to be equivalent to the average sensitivity of 5 \u201ccomparable companies\u201d to aggregate equity market returns in excess of risk-free rates. I say&nbsp;<em>assumed<\/em>&nbsp;here because later their report, the valuation experts say that the subject equity interest is in a company that \u201ccurrently generates less revenue than all of the [comparable] companies, competes in different geographic and product \/ service markets, and exhibits different growth and profitability prospects.\u201d In short, the so-called comparable companies are in no meaningful sense comparable.<\/p>\n\n\n\n<p><strong>Company-specific risk premium<\/strong>&nbsp;\u2014 A careful reading of the valuation report shows that the&nbsp;<em>company-specific risk premium<\/em>&nbsp;(<em>CSRP<\/em>) of .05 (5.0%) is a subjective opinion of the valuation experts, which they do not support with any any direct analysis; only indirect analysis based on the equity pricing multiples of comparable publicly-traded equities, for which they again admit \u201ccomparability was limited.\u201d A reasonable observer would conclude that the CSRP used in developing the discount rate was an&nbsp;<strong>assumption<\/strong>.<\/p>\n\n\n\n<p><strong>Other BUM risk premiums (discount)<\/strong>&nbsp;\u2014 The&nbsp;<em>equity risk premium<\/em>&nbsp;(<em>ERP<\/em>),&nbsp;<em>industry risk premium<\/em>&nbsp;(<em>IRP<\/em>), and&nbsp;<em>small stock premium<\/em>&nbsp;(<em>SSP<\/em>) were also not estimated by direct analysis of the cash flow streams underlying the subject equity interest; they were obtained by\u2013contrary to factual evidence\u2013<strong>assuming<\/strong>&nbsp;the subject equity interest had (i) a sensitivity of 1 to aggregate equity capital market returns, (ii) a sensitivity of 1 to the aggregate computer semiconductor industry equity market returns, and (iii) a sensitivity of 1 to the aggregate equity market returns of \u201csmall stocks.\u201d The other rate premiums (discount) were obtained from the (other valuation professionals) source that the risk-free rate component was obtained.<\/p>\n\n\n\n<p><span style=\"text-decoration: underline;\">Expected cash flows: Analyzed or assumed?<\/span>&nbsp;Turning now to expected cash flows, I will simply point out that\u2013in the large majority of the valuation reports that I\u2019ve read, including the valuation report example I reference above\u2013valuation professionals usually&nbsp;<strong>assume<\/strong>&nbsp;that projected financial statements provided by the subject company\u2019s management represent unbiased estimates of expected future profits and cash flows, although there are usually minor adjustments made to things like executive compensation, related party lease contracts, etc. to better reflect expenses at their fair market values. In the example valuation report referenced above, the valuation experts used the range of selected profitability ratios as support for their assumption; ultimately concluding \u201d \u2026 the subject company\u2019s [expected] profitability falls within the range of comparable company profitability ratios \u2026 [which] indicates the expected profits and value conclusion from the [discounted cash flow method] is not unreasonable.\u201d Again, to the extent the valuation experts effectively state the the comparable companies are not comparable, a reasonable observer would rationally conclude expected profits and cash flows were assumed rather estimated based on careful analysis.<\/p>\n\n\n\n<p>(Lest you think I selected this example to support a desired conclusion, I can assure you that this is an example of the norm in valuation practice rather than the exception.)<\/p>\n\n\n\n<p><span style=\"text-decoration: underline;\">Valuation professionals are usually just assuming value.<\/span>&nbsp;So, looking back over the above paragraphs in this section, it can be seen that valuation professionals are usually&nbsp;<em>considering<\/em>&nbsp;many or most of the right things but rarely&nbsp;<em>analyzing<\/em>. It follows that, ultimately, valuation professionals are arriving at&nbsp;<em>assumed values<\/em>&nbsp;rather than&nbsp;<em>estimated values<\/em>&nbsp;based on careful analysis; they are more like valuation assumers than valuation analysts.<\/p>\n\n\n\n<p>Notice what happens when valuation professionals develop assumed values based on informal considerations rather than estimates based on careful analyses: In the terminology of&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.iasplus.com\/en\/standards\/ifrs\/ifrs13\" target=\"_blank\">IFRS 13<\/a>,&nbsp;<strong>assumptions represent&nbsp;<\/strong><a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.iasplus.com\/en\/standards\/ifrs\/ifrs13#hierarchy_level3\" target=\"_blank\"><strong>Level 3 valuation inputs<\/strong><\/a><strong>&nbsp;(i.e., unobservable inputs)<\/strong>, in contrast to&nbsp;<strong>analysis of actual market data leading to&nbsp;<\/strong><a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.iasplus.com\/en\/standards\/ifrs\/ifrs13#hierarchy_level2\" target=\"_blank\"><strong>Level 2 valuation inputs<\/strong><\/a>&nbsp;(i.e., inputs derived from the market prices and returns of similar capital assets):<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"446\" src=\"https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-9-1024x446.gif\" alt=\"\" class=\"wp-image-85\" srcset=\"https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-9-1024x446.gif 1024w, https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-9-300x131.gif 300w, https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-9-768x334.gif 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><span style=\"text-decoration: underline;\">Valuation professionals usually accept being valuation assumers.<\/span>&nbsp;Not only do valuation analysts seem to be more like valuation assumers, many valuation professionals I\u2019ve spoken with about these things are not worried about it either. \u201cSo what? \u201d they say, \u201cEverybody does it this way and unless there is another way to do valuations\u2013which there isn\u2019t\u2013there\u2019s no point in this discussion. And, after all&nbsp;<em>we<\/em>&nbsp;are the valuation experts, which is why we are getting paid to give our [subjective] opinions.\u201d Au contraire: Valuation professionals are getting paid to estimate what is in the collective mind of the capital market, not tell people what is in their own minds. And it\u2019s not true that there\u2019s no other way to do valuations either. Read on \u2026<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"3-what-should-valuation-analysts-do\">3. What should valuation analysts do?<\/h3>\n\n\n\n<p>If, as I claim, simply considering risks and making assumptions isn\u2019t adequate for estimating capital asset values, then what is the alternative? Confining the discussion to risk-adjusted discount rates, accepted theory and methods have existed for at least 40 years as I\u2019ve discussed in a number of&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/http:\/\/www.mclelland-palazzi.com.br\/wp\/?cat=5\" target=\"_blank\">my other articles<\/a>. I will adapt an example from my recent&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.amazon.com\/International-cost-capital-estimation-Methods\/dp\/179695943X\" target=\"_blank\">book<\/a>, outlining in a rough way the theory and method for estimating the risk-adjusted expected market rate of return for the equity of a privately-held Brazilian jet aircraft components manufacturer, \u201cCAB\u201d:<\/p>\n\n\n\n<p><strong>(1) Analyze and estimate risk sensitivities of subject interest \u2014<\/strong><\/p>\n\n\n\n<p>Using 16 years of monthly operating profit data from CAB financial statements and related publicly-available data on monthly&nbsp;<em>aircraft deliveries<\/em>&nbsp;(<em>AD<\/em>) in the US, the&nbsp;<em>USDBRL<\/em>&nbsp;foreign exchange rate, and the monthly return on the NYSE Composite Equity Index (<em>NYA<\/em>), the sensitivities of CAB\u2019s profits and cash flows to such risk factors were estimated and tested using econometric methods:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"722\" height=\"376\" src=\"https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-3.gif\" alt=\"\" class=\"wp-image-86\"\/><\/figure>\n\n\n\n<p>Supposing the three risk factors represent all significant risks influencing CAB\u2019s profits and cash flows, it is necessary to estimate the prices of such risk factors in the (international) capital market to estimate the risk-adjusted expected market rate of return on the risks CAB\u2019s equity returns.<\/p>\n\n\n\n<p><strong>(2) Analyze and estimate market prices of risk factors \u2014<\/strong><\/p>\n\n\n\n<p>Using (i) historical estimates of expected monthly returns on Embraer equity shares (<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/finance.yahoo.com\/quote\/EMBR3.SA?p=EMBR3.SA&amp;.tsrc=fin-srch\" target=\"_blank\">EMBR3.SA<\/a>), Boeing equity shares (<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/finance.yahoo.com\/quote\/BA?p=BA&amp;.tsrc=fin-srch\" target=\"_blank\">BA<\/a>), SPDR S&amp;P 500 Index ETF (<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/finance.yahoo.com\/quote\/SPY?p=SPY&amp;.tsrc=fin-srch\" target=\"_blank\">SPY<\/a>), and&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.cnbc.com\/quotes\/?symbol=US5Y\" target=\"_blank\">US Treasury 5-year notes<\/a>, and (ii) estimated risk sensitivities of such publicly-traded securities to the&nbsp;<em>AD<\/em>,&nbsp;<em>USDBRL<\/em>, and&nbsp;<em>NYA<\/em>&nbsp;risk factors, over the same 192 month period, the estimated market prices of the risk factors can be extracted from the market return data:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"392\" src=\"https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-4-1024x392.gif\" alt=\"\" class=\"wp-image-87\" srcset=\"https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-4-1024x392.gif 1024w, https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-4-300x115.gif 300w, https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-4-768x294.gif 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>Setting aside some details of econometric tests and the construction of the no-arbitrage portfolio (shown below by the weights summing to 1), it can be shown that there is a no-arbitrage portfolio that is\u2013in expectation\u2013free from all risks aggregated in the risk factors&nbsp;<em>AD<\/em>,<em>&nbsp;USDBRL<\/em>, and&nbsp;<em>NYA<\/em>&nbsp;and has an expected monthly return of .0057 (.57%):<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"886\" height=\"196\" src=\"https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-5.gif\" alt=\"\" class=\"wp-image-88\"\/><\/figure>\n\n\n\n<p><strong>(3) Derive estimate of opportunity cost of capital \u2014<\/strong><\/p>\n\n\n\n<p>Using the estimated (i) no-arbitrage portfolio return, (ii) CAB risk factor sensitivities, and (iii) international market prices of the risk factors, the estimated, annualized, risk-adjusted expected market rate of return on CAB\u2019s risk exposures (it\u2019s&nbsp;<em>international cost of capital<\/em>, ICC) is \u2026<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1002\" height=\"252\" src=\"https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-6.gif\" alt=\"\" class=\"wp-image-89\"\/><\/figure>\n\n\n\n<p>Note that&nbsp;<em>the risk factor sensitivities and risk factor prices were estimated, not assumed<\/em>&nbsp;as was the case in the example shown in Section 2. There are, of course, some assumptions underlying the theory and method presented above as I discuss in my book, but the assumptions are explicit and empirically testable; not implicit and untestable as was the case with the assumptions made in the example in Section 2.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"4-valuation-assumers-versus-valuation-analysts\">4. Valuation assumers versus valuation analysts<\/h3>\n\n\n\n<p>We can now see very clearly what the difference is between a valuation assumer and a valuation analyst based on the above examples. Again confining the discussion to the estimation of discount rates, we can summarize it like this:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"416\" src=\"https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-8-1024x416.gif\" alt=\"\" class=\"wp-image-90\" srcset=\"https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-8-1024x416.gif 1024w, https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-8-300x122.gif 300w, https:\/\/mclelland-financial-economics.com\/wp-content\/uploads\/2021\/05\/Valuation-assumptors-Equation-8-768x312.gif 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>I suppose those of us with adequate reputations as valuation experts take some pride in providing subjective opinions, but I think most of us who chose to be valuation professionals tend toward a more scientific, objective approach to our work. I think we actually want to be worthy of the title&nbsp;<em>valuation analyst<\/em>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"5-yes-we-can-actually-be-valuation-analysts\">5. Yes, we can \u2026 actually be valuation analysts.<\/h3>\n\n\n\n<p>So, there we have it: We don\u2019t need to be valuation assumers; we can be valuation analysts \u2026 and we can do it by applying asset pricing theory and methods existing for at least 40 years. The only remaining question is, Why do many valuation professionals seemingly prefer to be assumers rather than analysts?<\/p>\n\n\n\n<p>I\u2019ve conducted informal surveys on this and the answer seems to be valuation professionals are humans, and we&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/en.wikipedia.org\/wiki\/Herd_behavior#In_human_societies\" target=\"_blank\">humans are essentially herd animals<\/a>.&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/en.wikipedia.org\/wiki\/Herd_behavior\" target=\"_blank\">Herd animals follow the herd<\/a>. Further, because the valuation profession herd seems to have a consensus view that there is no coherent asset pricing theory for privately-held and -traded assets, they simply need to follow their intuition and exercise their subjective professional judgment. But, as I showed above, the consensus view of the valuation herd is wrong on this.<\/p>\n\n\n\n<p>I think we can all agree that as long as the valuation herd is committed to mainly using subjective judgment in developing \u201cvaluation conclusions\u201d (opinions), the profession will remain largely stagnant. So, we have a choice: To be or not to be valuation assumers. To be or not to be valuation analysts! Remember the inimitable words of Steve Coogan, \u201c<a href=\"https:\/\/web.archive.org\/web\/20201022024404\/https:\/\/www.youtube.com\/watch?v=K8BPP4ASQWo\" target=\"_blank\" rel=\"noreferrer noopener\" title=\"https:\/\/www.youtube.com\/watch?v=K8BPP4ASQWo&amp;t=126s\">Death is but a moment \u2026 Cowardice is a lifetime of affliction.<\/a>\u201d :- )<\/p>\n\n\n\n<p>MMc<br>S\u00e3o Paulo<\/p>\n\n\n\n<p><em><strong>Caveats.<\/strong>&nbsp; Please note: (i) views presented above are my own and do not reflect those of others; (ii) like anyone, I\u2019m not infallible and am responsible for any errors; (iii) I greatly appreciate being informed of any significant errors in facts, logic, or inferences and am happy to give credit to anyone doing so; (iv) the above article is subject to revision and correction; and, (v) the article cannot be construed as investment or financial advice and is intended merely for educational purposes.&nbsp; MMc<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Those in the sub-discipline of the finance profession employed in estimating values of privately-held and -traded capital assets refer to themselves by a fascinating array of\u2013sometimes dyseuphonic\u2013titles including business appraisers, valuers, valuators, valuation advisors, valuation&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[4,1],"tags":[],"class_list":["post-79","post","type-post","status-publish","format-standard","hentry","category-1-asset-pricing-and-valuation","category-9-other"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/mclelland-financial-economics.com\/index.php?rest_route=\/wp\/v2\/posts\/79","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mclelland-financial-economics.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mclelland-financial-economics.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mclelland-financial-economics.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mclelland-financial-economics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=79"}],"version-history":[{"count":6,"href":"https:\/\/mclelland-financial-economics.com\/index.php?rest_route=\/wp\/v2\/posts\/79\/revisions"}],"predecessor-version":[{"id":223,"href":"https:\/\/mclelland-financial-economics.com\/index.php?rest_route=\/wp\/v2\/posts\/79\/revisions\/223"}],"wp:attachment":[{"href":"https:\/\/mclelland-financial-economics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=79"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mclelland-financial-economics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=79"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mclelland-financial-economics.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=79"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}