elements Of Finance.netÓ 
Shareable Resources for Teaching & Learning
for Arts & Sciences, Technology, Engineering, Mathematics, and Financial Economics (aSTEMfe)

Writings by prof-td@elementsOfFinance.net

The elements Of Finance book: http://elementsoffinance.net/elements.pdf

   Preview of active project:    http://elementsoffinance.net/palette.pdf

1.  This study “Tax Policy and Stock Prices” is co-authored with Dr Patric Hendershott, Head of my dissertation Committee at Purdue University (1978-82; other Committee members: Profs Gary Schlarbaum, James Moore, and (Minister) Hu Sheng Cheng). This study introduces the intrinsic value model in order to measure the effects from tax law changes nonfinancial corporate fixed capital stocks in the USA.

http://elementsoffinance.net/support/ntj_tax_policy.pdf

An early draft of the study was presented by me [1986a Presentation to the NBER ] at the National Bureau of Economic Summer Institute Research Series. Distinguished profs seated around the table included moderator David Bradford (Princeton U), Martin Feldstein (Harvard U), Mervyn King (London School of Economics), Jonathan Leape (also LSE), Alan Auerbach (HarvardU), Pat Hendershott (Ohio State U), a few others, each holding a study similar to the NBER working paper [1986b NBER WP #2094 ] that went public 2 months later. Room discussion by Prof Leape clarified that the risk premia for tax shields vary and that the cash flows to equity capitalize at the residual equity financing rate. Prof Feldstein saw the gap between intrinsic value and current replacement cost as problematic. he asked for me to meet later with capital stock specialist Charles Hulten (UMaryland) for discussion. Finishing and exiting to the hallway revealed the next presenters were Lawrence Summers (Harvard U) and David Cutler (MIT). That gave opportunity for me to offer thanks for the fantastic discussions on economic income in Feldstein and Summers (1979) that for me was pivotal developing my dissertation proposal, opportunity to confess confusion seeing those trajectories in those Q-trajectories (Brookings Papers on Economic Activity).

    Three months after the presentation my home phone rang about 8:30am. Though answering the phone with a poopy baby diaper in-hand before heading to my BC office, I hear “Hello, this is Fischer Black,” then a Goldman-Sachs VP and forevermore the MIT prof that laid a firm foundation for standardized option markets. The 45-minute conversation about intrinsic value remains a cherished & inspirational event in my half century with universities of higher learning. “Tax Policy and Stock Prices” was published in 1987 by editor Daniel Holland (also at Massachusetts Institute of Technology) at the National Tax Journal. The text labels the “intrinsic value” object as the “fundamental value of capital.”

 

2.  This study “Using the User Cost” appears in the Journal of Economics and Business [1986b].  This is my only writing with continuous time math (calculus).

http://elementsoffinance.net/support/jecb_user_cost.pdf

    Nearly all studies on fixed asset capital stocks employ a user cost derived under assumptions inconsistent with the assumptions used to derive their capital stock estimates. This study examines the significance of this inconsistency and, more importantly, presents the intrinsic value model that eliminates it. The user cost accounts for phenomena besides the financial cost of money such as physical depreciation in productive capacity and the effects of inflation and taxation. The user cost of capital is akin to the gross profit margin ratio of financial accounting with a numerator of EBITDA (earnings before interest, taxes, and depreciation or amortization charges).  Synonyms for “user cost of capital” include the rental price or shadow price or time cost of capital. This study refers to the product of the user cost times the quantity of real capital as “the NOIs” (net operating income, synonym for EBITDA).

    John Keynes writes in The General Theory of Employment, Interest, and Money [1936a] that “the user cost constitutes a link between the present and future.” Finance is all about time as often it’s heard that time is money for the many that put their mind on their money and their money on their mind!

 

 

1.  Read how penny stocks and extreme outcomes provide evidence for the share market lottery premium.

http://elementsoffinance.net/support/jpm_lottery.pdf

This article with then Ph.D. Finance student coauthor Quan Wen at the University of Alabama shows that 1-in-4 of extreme positive stock returns occur for stocks priced under $7 a share whereas 1-in-20 occur for medium and higher priced stocks. Expectations are that rates of returns distribute independently of any specific share price level. Those investors seeking extreme returns behaviorally respond to a low stock price by perceiving a chance to own the winning ticket, however remote, and willingly accept lower than average outcomes. The lottery premium is larger in up markets than down markets and has become more costly as decades roll on.

 

2.  Learn that the ex ante rate of return required to induce investment generally equals the risk free rate of return plus a risk premium whereas the expected rate of return depends on information and information alone. The expected value of future flows sustains the expected rate of return in a model of capitalized economic value described centuries ago, never abandoned, made stronger ever since.

http://elementsoffinance.net/support/average_period_user_cost_and_term_structure.pdf .

 


3.  Learn that the shape of the intrinsic yield curve depends on the degree of risk-sharing and risk-aversion between creditors and shareholders.

http://elementsoffinance.net/support/neoclassical_term_structure.pdf

This paper introduces diversification benefits from investment as a source of wealth for the risk premium that sustains the growth of financial markets.


4.  See that a complex modeling and measuring of the intrinsic value for a balance sheet enables mapping intrinsic value to public policy in general and to tax policy in particular.

http://elementsoffinance.net/support/aer_stock_prices.pdf

A fundamental finding is that the responsiveness of balance sheet intrinsic value to a change in the financial cost of capital may be positive or negative and depends on a ratio of percentage changes, that is an interest elasticity (“duration”) of the return streams for marginal investments relative to that for total assets. When the ratio of elasticities exceeds unity, a plausible scenario in some scenarios, then intrinsic value rises with a rising cost of capital and falls with a falling cost of capital. An increase in the cost of capital is commonly thought to unidirectionally depress intrinsic value – wrong! Thanks to Boston College co-author colleague Hassan Tehranian that comparing the excess stock return numbers from his FORTRAN program with my predicted changes of intrinsic value for 3 industries selected a priori  while stating “but how did you know” – priceless. Besides lucky stats, I am even more grateful to HT for the introduction outside my BC office door to Professor Billy Helms visiting momentarily from the University of Alabama who, unbeknownst at the time, would very soon offer guidance and growth opportunities for my family and me in sweet home Tuscaloosa at the Department of Economics, Finance, & Legal Studies.



6.  Three financial accounting methods for valuing fixed asset stocks extend like a telescope through different information sets.  The historical replacement cost method measures historical investment flows net of accumulated depreciation.  The current replacement cost method extends the measurements to account for incremental information on cumulative class specific price inflation.  The intrinsic value method in this article accounts for general inflation, taxes, capital accumulation histories, and capacity depreciation schedules.

http://elementsoffinance.net/support/jar_fundamental_value.pdf

Thanks to co-author Keith Shriver for questioning how my intrinsic value computations might compare to his dataset with actual used fixed corporate asset prices. I presented our findings at the University of Chicago Graduate School of Business annual conference hosted by the Institute for Professional Accounting. Actual used corporate fixed asset prices track intrinsic valuations better than historical cost or current cost measurements. A happy learning moment occurred when discussant prof Ralph Sansing (Yale) having said that the intrinsic valuation method “lacks a decision making context” received a reply from Editor Katherine Schipper (UChicago) that the method is immune to this criticism because the intrinsic value specification “has a dimension of timelessness.” That dimension of timelessness forms the concrete bond between the number and the real underlier! An uncertain learning moment occurred when audience member Richard Leftwich (UChicago) requested from me clarification for the effects on intrinsic value of asset specific price inflation versus class or general inflation. I knew not the answer but only its event horizon. The answer forms the overlapping equatorial meridian between (a) consumer theory of utility specifications by Chipman and Moore (1983) that in the absence of polymorphic household wants and needs, domestic tranquility begins at home and accumulates into the wealth of a nation, and (b) producer theory of value specifications from Dale Jorgenson (1983) that measure flow of funds matrices, capacity utilization rates, and gross profit margins that accumulate into the wealth of the nation. Sadly, domestic tranquility figures none to nil in Gross National Product measurements.


7.  Learn that the demand price for real capital embodies expected returns based upon economic information about discounted cash flows.

http://elementsoffinance.net/support/producer_theory_of_value_and_equilibrium_stock_returns.pdf

When properly discounted expected cash flows provide an intrinsic value measurement then market competition assures that required risk premia measurements from the consumer theory of value vibrate randomly and unpredictably around the information-based expected returns (Bachelier 1893, 1906 and Paul Samuelson 1965). Burton Malkiel (Princeton U) writes wrongly in A Random Walk Down Wall Street (1968) that risk and risk alone determines the level of equilibrium rates of return.  Correction: Risk and risk alone determine the required risk premium added to the risk-free rate, a societal rate with concrete components independent of preferences. Risk determines only the required rate of return and not its dual, the expected rate of return. Information and information alone determines expected rates of return. With well functioning markets and wise public policy, competitive rates of returns vibrate randomly around an idiosyncratic, asset specific intrinsic value.


8.  This study incorporates debt maturity structure into intrinsic value by focusing on the zero net present value equilibrium condition in the market for real assets. Market equilibria implies that the net present value of the marginal investment is independent of the financing method therefore user costs for alternative debt contracts equilibrate. The user cost specification therefore implies a determinate relationship between interest rates on alternative debt contracts.

http://elementsoffinance.net/support/embodied_equity_theory_of_term_structure.pdf

Analysis of the user cost specification reveals that the equilibrium interest rate is an increasing function of the debt contract's loan-to-value ratio and debt duration (its elasticity , average period). The basic reason why the interest rate increases with average period is this: the equity financing rate exceeds the interest rate, a lengthening debt average period reduces to equity the discounted cost of debt and the financing rate increases to re-establish equilibrium. The “embodied equity” hypothesis advanced herein joins the expectations hypothesis, the liquidity preference hypothesis, and the market segmentation hypothesis as fundamental explanations for the normal upward slope on the yield curve.


9.  This study models and measures industry level intrinsic values, an approach that focuses on the asset side of the balance sheet.  The ratio of industry market capitalization to intrinsic value, dubbed the overvalue ratio in the study, leverages rates of return independently of required risk premia for liability side commitments.  Namely, for a $1 change in intrinsic value the resultant shareholder rate of return is smaller for an overvalued industry (or company) and bigger for an undervalued company irrespective of risk factors or preferences.

http://elementsoffinance.net/support/jpm_asset_valuation.pdf

This invited presentation (2017.1017) of an article from the Journal of Portfolio Management (Editor Frank Fabozzi) at the Institutional Investor Institute Quantitative Research Roundtable, a 1-day annual gathering of securities market specialists. During the 75 minute opening session at 8:30am Dr. Martin Leibowitz, then at TIAA-CREF, presented “Asset allocation under shortfall constraints.”

grateful to praise his book Investing (1992) for its enduring lessons, especially the “riding the yield curve” and the “barbell” investment strategies, that I used in class and for cognition. Two profs presented to the attendees, say 400 diverse workers in finance, already seated for lunch in this 1-day program at the then famous Helmsley Hotel. Prof Ken French (Dartmouth) was the keynote speaker presenting the Fama-French (1991) seminal work on Book-to-Market ratios and multi-factor risk models. Then I spoke and sat back down for lunch beside In a brief back-stage chat after lunch before attendees went to break-out sessions and speakers skedaddled i conjectured to Ken French that the explanatory power of the Book-to-Market ratio (=Stockholders’ equity divided by market cap) likely has little to do with being a risk factor and more with being mechanically connected by concrete numeracy to the Overprice ratio (=market cap divided by intrinsic value).


10.  This unpublished paper analyzes a specification for the user cost of capital that reveals fundamental implications for interpretation and measurement of marginal effective income tax rates.

http://elementsoffinance.net/support/marginal_effective_tax_rates.pdf

A novel and surprising finding is that the marginal effective income tax rate is invariant to asset characteristics such as service life and capacity depreciation through equilibration by the user cost of capital that maintains a zero net present value for marginal investments.  Maybe the findings echo Paul Samuelson (1963) regarding the invariance of asset intrinsic value to the marginal income tax rate.


11.  This study, inspired and coauthored with the then Head of the UA School of Accountancy Robert Ingram replicates the Fama-French research relating the cross-section of stock returns to firm size, beta, and total risk. Fama-French find that size relates positively with average returns, and beta doesn’t, a result we replicate. Extending the analysis, however, finds that as the extreme 2% of stock returns are censored with trimmed least squares that the explanatory power of firm size persists only in flat to falling markets. Systematic risk relates positively in up-markets and negatively in down-markets, an outcome consistent with the Sharpe-Lintner-Black capital asset pricing model for beta. We also find that average returns relate negatively with total risk. The reduction in average return associated with an increase in total risk presumably reflects the tradeoff that investors willingly sacrifice for a chance at an extreme albeit unlikely return.

http://elementsoffinance.net/support/jfr_risk_return.pdf

The 43 associate editors at Journal of Financial Research selected this article as the Best of the Year and kindly sent us two a $5,000 prize to share.


12.  This study is one of just a handful in the literature that model the economic value of nonfinancial corporate assets to establish that the well-known Tobin’s Q-ratio (= market cap to current replacement cost) may systematically and routinely deviate from unity due to differences in the timing of expected after-tax cash flows.  Still, empirical evidence shows little incremental explanatory power from using tax-adjusted Q-ratios instead of standard unadjusted Q-ratios.

http://elementsoffinance.net/support/jpub_tax_bias.pdf


13.  This unpublished paper, coauthored with then Ph.D. student Cűneyt Demirgűreş, examines country funds trading on the NYSE or AMEX comprised of common stocks trading on foreign exchanges.  We find high positive correlation among premiums for country funds and conclude a "foreign-fund investor sentiment" is systematic to all country funds.  Premiums and domestic market indexes correlate positively for funds investing in developed-economies (which largely concentrate in the hands of individual investors) and negatively for funds investing in developing-economies (which primarily are held by institutions).  Returns on country funds and domestic indexes correlate positive irrespective of ownership structure.  These results suggest that foreign and domestic investors use different information in setting asset prices thus giving support to the investor sentiment hypothesis.

http://elementsoffinance.net/support/investor_sentiment_closed_end_country_funds.pdf


14.  Learn how market capitalizations for public utility industries relate to measurements of underlying asset values.  Current replacement cost measurements (CC) of those assets contain specifiable biases of economic value that depend on capital accumulation histories, capacity depreciation schedules, tax depreciation schedules, and cost of capital components.  An intrinsic value model provides estimates that show the bias contains incremental information beyond that inherent with the CC measurements.

http://elementsoffinance.net/support/ntj_utility_valuation.pdf

This study was awarded the $5,000 prize sponsored by the National Tax Association and the Public Utility and Railroad Workshop at Wichita State University for the annual Distinguished Award in Applied Research.


15.  Another unpublished nonclassical study that endogenizes debt maturity into the intrinsic value of a hypothetical balance sheet shows different recognizable formulations therein for the financial cost of capital.

http://elementsoffinance.net/support/debt_maturity_and_cost_of_capital.pdf


16.  My first publication in a journal that has “Finance” in the journal title is pedagogic, maybe useful for teachers or students alike.

http://elementsoffinance.net/support/tfr_capital_budgeting.pdf


17.  The study below extends the sample from item #4 in this list, the AER paper on stock prices and tax policy changes tracking intrinsic value, to 10 industries (2-digit SIC code) rather than the 3 industries (2-digit SIC code) in the former study. The time required for collecting the information on price to book ratios for debt securities compelled settling on 3 heavily capitalized industries for the AER study. No other industries were examined as we lacked key data. The additional evidence for all 10 industries showed quite a bit of noise in the conclusions which was little disheartening, for sure.

http://elementsoffinance.net/support/tfr_tax_reform.pdf


18.  The important issue of government tax shields squeezing out private investment is significant.

http://elementsoffinance.net/support/tfr_tax_shields.pdf

 

20.  My doctoral dissertation from Purdue University approved December 1982, “The Effects of Inflation and Taxation on the Value of Capital” is item=8310819 at ProQuest. Therein the differential effect of LIFO versus FIFO inventory accounting method on intrinsic value is specified and accounted for though no later manuscripts utilize that particular reality check! Committee members included Prof Patric Hendershott (Head), eventual Minister without Portfolio for the Republic of China (Taiwan) Prof Hu Sheng Cheng, Prof Gary Schlarbaum, and Prof James Moore.

 The Effects of Inflation and Taxation on the Value of Capital

 

 

References and Additional Readings

 

[1986a] Downs, Thomas W; Text of the presentation read by me that introduces the intrinsic value model at the NBER Summer Research Institute, Cambridge MA; 2026.0731

  Presentation to the NBER 

 

[1986b]  Downs, Thomas W and Hendershott, Patric H; NBER Working Paper #2094 is the presentation paper with few exceptions.

  NBER WP #2094 

 

[1986c]  Downs, Thomas W; “Using the User Cost”; Journal of Economics and Business vol 38, pp 297-305; Fall 1986.

 

[1987a]  Downs, Thomas W and Hendershott, Patric H; “Tax Policy and Stock Prices”; National Tax Journal vol 40(2), pp 183-190; June 1987.

 

[1936a] Keynes, J. M. (1936). The General Theory of Employment, Interest and Money. London: Macmillan  (1936).

 

 

21. 

http://elementsoffinance.net/AlgorithmicDocumentGenerator.pdf

 

The free add-in below for Microsoft Excel can create a new algorithmic document in MS Word useful for nearly any topic or purpose.  Package personalized learning content into algorithmic setups embodying random redraws of worksheet cells.  Cells might contain a number, word, or an alphanumeric phrase/sentence/paragraph made from other cells!  Endless options to uniquely redraw algorithmic scenario setups give teachers and students alike lots of choices.

 

Click http://elementsoffinance.net/Algogen.xla to download the add-in for Excel.

Better yet, first peruse this documentation below then download the add-in! http://elementsoffinance.net/AlgorithmicDocumentGenerator.pdf


Installation Instruction #3 in the above
pdf describes how to activate two Excel add-ins – the free Algogen add-in above and the Analysis Tool-Pak add-in from Microsoft.  Completing that step (only) empowers Word & Excel with Algogen wizards that help package your content into algorithmic scenario setups, a potentially high return on invested time that enhances teaching and learning effectiveness and efficiency.  Find examples, hints, and more in the documentation.  For example, the first pages present an analysis of student learning outcomes with multiple attempt algorithmic online quizzes, multiple attempt algorithmic paper exams submitted in class and/or online.  The sample includes thousands of students with varied teachers and course formats (traditional, hybrid & online registrants).  All students populated one common undergraduate core course learning community.  All were challenged by the same set of algorithmic assessments.


All software resources listed herein are authored by prof-td@elementsOfFinance.net and are available “as-is” subject to terms in the End User License agreement (EULA).  No liability nor benefit accrues to prof-td or elementsOfFinance.net LLC by your use of these resources.  No harm is intended, either.  Hopefully you find unbelievably huge reductions in exam preparation time  –  for me the 18 hours per exam dropped down to 2 hours, a savings that accrued 4 times a semester (more than a complete workweek)!  The Algogen app that prof-td uses even analyzes scantron results, transfers course data, and makes a Standings page showing all student scores, publicly viewable and anonymous, from 1st rank to last.  Everyone knows the performance outcomes of everyone else, anonymously.  With a handful of clicks Algogen made the prof a complete 25-question exam with 4 unique versions ready for duplication onto paper for classroom use.  The procedure also transfers the 25 answers for the 4 exam versions into the gradebook.xlsx ready for the eventual Algogen click that processes the scantron data, no matter how large or small the class.  One semester more than 1,200 students populated one common core course learning community with prof-td.

                        Not every teacher wants to make easy tests

                        but every teacher wants to easily make tests.

 

Get the free Algogen app that allows you to select finance scenario setups from documents in an algorithmic content collection and make countless new versions for purposes like quizzes, exams, assignments, presentation examples, or for making algorithmic online practice scenarios or assessments, at http://elementsOfFinance.net/Algogen.zip  

Documentation provides installation instructions and more: http://elementsoffinance.net/AlgorithmicDocumentGenerator.pdf .

Get the free algorithmic content collection written for the elements Of Finance book at http://elementsoffinance.net/elements.zip



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