Financial accounting return on investment and financial leverage

This note presents a method for teaching the concept of financial leverage and its relationship to accounting rates of return. Typically, financial leverage is only briefly mentioned in introductory accounting textbooks, and it is rarely related explicitly to rates of return on total assets and on common stockholders' equity. Yet the concept is an important one for financial managers. We have developed and class tested a numerical illustration to explain in a conceptually sound manner why the two rates of return differ. Accounting instructors who share our view that financial leverage should be covered more thoroughly in the introductory accounting course will find this example to be a useful supplement. The example can also be used as a way to develop critical thinking skills or to enhance a user orientation.     

Estimates of economic rates of return for the U.S. pharmaceutical industry, 1976–1987

Estimation procedures are designed to consider features of publicly-available financial accounting information which allegedly compromise its use to estimate economic internal rates of return. These procedures, which focus on cashflows rather than conventional accounting income measures, are used to investigate the relative profitability of the U.S. pharamaceutical industry. Results indicate that pharmceutical returns exceed returns for comparable U.S. industrial firms during the period encompassed by the study. Differences for these comparisons are substantially less than what is implied by an uniformed use of accounting information, however. In particular, differences in implied internal rates of return of 2.1% to 3.8%, whereas differences in accounting rates of return are 4.0% to 5.6%. Results are robust for a wide variety of assumptions about industry growth rates and investment payout profiles, characteristics which potentially cause accounting-based return measures to differ from underlying internal rates of return.     

Annuitization and aggregate mortality risk

It is well established that annuities can fully diversify idiosyncratic mortality risks. However, survival rates at the cohort level are changing, raising the question what is the scope of annuities in the presence of aggregate mortality risk? In an overlapping generations setting, we show that risk free annuities exist, but offer a return below the (fair) certainty equivalent return, and agents do not fully annuitize their savings. Higher aggregate mortality risk increases savings and thus the mean level of the capital stock. This lowers the mean rate of return on capital, the survival premium on annuities and the share of individual savings in annuities.     

SOME FORMAL CONNECTIONS BETWEEN ECONOMIC VALUES AND YIELDS AND ACCOUNTING NUMBERS

This paper reports a number of results concerning the relationship between accounting numbers and economic values and yields. Some of the results have appeared previously in the literature and some are new. They have been collected together in a common analytical framework in order to demonstrate their formal, mathematical character. It is shown that present value can be obtained by discounting almost any profit numbers; that accounting rates of return define a discount function directly analagous to the term structure and the internal rate of return; and that the internal rate of return can be expressed as a linear weighted sum of accounting rates of return.     

SIGN TESTS FOR ACTUAL INVESTMENTS WITH LATTER PERIOD NET CASH OUTFLOWS

Easily calculated sign tests are presented for analyzing the net present value characteristics and the number of internal rates of return of two important practical cases of cash flow patterns with multiple sign changes. Using two tables which summarize the test procedures, it is possible for a decision maker to economically proceed from simple to more advanced procedures (as needed) when analyzing these cash flow patterns. Also considered is a deceptive feature of certain investment projects which have cash flows with multiple sign changes and a unique internal rate of return. A sign test is presented for ruling out this potential problem.     

Accounting of the German Statutory Pension Scheme: Balance Sheet,Cross‐Sectional Internal Rate of Return and Implicit Tax Rate

We present a framework for accounting of the German statutory pension scheme and calculate a balance sheet for the period 2005–14. Estimating a funding ratio of about 90 per cent, we present some policy recommendations in order to restore balancing of assets and liabilities. Extending and applying the methodology proposed by Settergren and Mikula (2005), we additionally estimate the aggregate cross‐sectional internal rate of return of the German pension scheme over this period. We are able to show that these internal rates of return are mainly financed by increasing contributions and by increasing unfunded liabilities. Additionally, our analysis reveals that from an expenditure perspective, the major part of the internal rate of return results from changing longevity rather than other changes. We also estimate the implicit tax rates from a cross‐sectional perspective and find that they can mainly be interpreted as an ‘implicit wealth tax’ on pension wealth. Finally, we analyse the impact of demographic change on the balance sheet employing a population projection. While the pure demographic effect leads to a decreasing funding ratio during population ageing, the automatic balancing mechanisms of the German pension scheme lead to a significant overfunding in the long run from the accounting perspective adopted in the Swedish pension system.     

THE EX-POST INTERNAL RATE OF RETURN: WHO NEEDS IT?*

The relationship between the accounting rate of return and the internal rate of return has been the subject of quite a number of articles. In many of these, it has been assumed that the ex post internal rate of return represents a desirable measure of performance, and efforts have been made to deduce its value from accounting rates of return. The present paper draws attention to some limitations of the ex post internal rate of return and throws doubt on its usefulness as a measure of performance.     

The Impact of Irreversibility,Uncertainty and Timing Options on Deprival Valuations and the Detection of Monopoly Profits

This paper has two purposes. The first is to derive rules identifying the deprival value of an asset (i) which is irreversible to one extent or another; (ii) the benefit stream of which is subject to continuing uncertainty; and (iii) for which an option to wait exists as to when to reacquire should the owner be deprived of it. The second is to consider whether accounting rates of return employing these deprival value rules can be developed to help in the detection of monopoly profits in circumstances where investment decision-making takes place in the presence of irreversibility, uncertainty and the existence of timing options. The ‘new’ deprival value rules for an asset differ from the ‘conventional’ ones in that present value less the value of the option to reinvest in the asset appears in the ‘new’ rules wherever present value appears in the ‘conventional’ rules. Examples are provided which suggest that ‘new’ and ‘conventional’ deprival value rules can differ materially. A further result is that accounting rates of return can be developed using the ‘new’ deprival value rules that are, in principle, useful in the detection of monopoly profits. Nonetheless, in practice such use requires a level of information that renders the result superfluous in the sense that the provision of replacement cost balance sheet data, combined with the level of information needed, is sufficient to reveal the presence of monopoly profits directly.     

Intergenerational Effects of Guaranteed Pension Contracts

In this paper we show that there exist intergenerational cross-subsidization effects in guaranteed interest rate life and pension contracts as the different generations partially share the same reserves. Early generations build up bonus reserves, which are left with the company at expiry of the contract. These bonus reserves function partly as a subsidy of later generations, such that the latter earn a risk-adjusted return above the risk-free rate. Furthermore, we show that this subsidy may be large enough to explain why late generations buy guaranteed interest rate products, which otherwise would not have been part of the optimal portfolio allocation.     

TRADING TIME EFFECTS IN FINANCIAL AND COMMODITY FUTURES MARKETS

Through the examination of one commodity contract, soybeans, and one financial contract, U.S. Treasury bonds, the authors test to determine (1) whether mean rates of return during trading times differ from mean rates of return during nontrading times; (2) whether mean returns during trading times and nontrading times differ by day of the week; (3) whether trading time returns differ significantly from previous nontrading time returns; and (4) the extent to which trading and previous nontrading returns are correlated. In addition, the authors empirically examine a possible explanation for the results obtained.     

Student perceptions of the profession and its effect on decisions to major in accounting

Changes in the business environment have created a perceived need for more creative individuals in the accounting profession. This study asserts that to attract these people, we will have to change existing perceptions of the profession. To test this assertion, we examine the relationship between students' inherent creativity, perceptions of the accounting profession, and decisions to major in accounting. We also examine the extent to which experience in an introductory accounting course changed students' perceptions and major choices. Findings indicate that students hold traditional views of the profession and this deters interest. Business and accounting students tend to be less creative than the general university population. Experience in introductory accounting drew less creative students to the major despite changing perceptions toward more modern views. Overall, the results indicate that perceptions of precision and thoroughness in the profession and the heavy work load in the introductory course discouraged creative personalities from pursuing an accounting major.     

Corporate bond default risk: A 150-year perspective

We study corporate bond default rates using an extensive new data set spanning the 1866-2008 period. We find that the corporate bond market has repeatedly suffered clustered default events much worse than those experienced during the Great Depression. For example, during the railroad crisis of 1873-1875, total defaults amounted to 36% of the par value of the entire corporate bond market. Using a regime-switching model, we examine the extent to which default rates can be forecast by financial and macroeconomic variables. We find that stock returns, stock return volatility, and changes in GDP are strong predictors of default rates. Surprisingly, however, credit spreads are not. Over the long term, credit spreads are roughly twice as large as default losses, resulting in an average credit risk premium of about 80 basis points. We also find that credit spreads do not adjust in response to realized default rates.     

What Cost of Capital Should You Use? The Market Has an Answer

The most widely used means of estimating a company's cost of equity capital is the Capital Asset Pricing Model (CAPM). But as a growing number of academics and practitioners have suggested, use of the CAPM produces estimates that often fail to reflect the risks of the companies as perceived by current and potential investors. The authors' work, together with other research, also suggests that the cost of equity produced by the CAPM is often too high. To the extent this is so, companies are discounting investment projects at rates of return that may be leading them to pass up value‐adding opportunities. The authors advocate the use of a simple and practical alternative to the CAPM that does not use either an assumed market risk premium or a beta. It uses instead an equity premium that is implied by the current market price of a company's stock and, as such, is implicitly derived from investors' assessments of the firm's risk that are reflected in that price. More specifically, the alternative approach solves for the internal rate of return that equates the present value of expected future cash flows to the current market price. In support of this approach, studies have shown that such market‐implied measures are better predictors than CAPM‐based estimates of future stock returns, both at the individual‐firm and aggregate market levels.     

A note on net present value and internal rate of return functions in electronic spreadsheets

Academic accountants are increasing their use of electronic spreadsheets in teaching. The net present value functions of some popular spreadsheets make incorrect calculations. The internal rate of return functions do not handle multiple rates in a standard way.     

On the validity of accounting rates of return in cross-sectional analysis: Theory, evidence, and implications

This paper reports the results of an empirical examination of the relationship between firm accounting rate of return (ARR) and firm internal rate of return (IRR). The evidence presented shows that some of the analytically derived properties of the ARR-IRR relationship hold in a sample of U.S. manufacturing firms. This evidence can be interpreted as documenting the existence of a potentially important degree of measurement error in the ARR for a sample of actual firms and increases the credibility of those who have questioned the use of accounting rates of return as the dependent variable in cross-sectional studies of firm profitability.     

Portfolio analysis of asset and liability management in small-, medium- and large-sized banks

The paper presents an analysis of the commercial banking firm based on Markowitz portfolio analysis. A bank is treated as a portfolio of five banking assets and three banking liabilities. The average rate of return and risk of each asset and liability is estimated empirically for groups of banks categorized by size — small, medium and large. Banks' rates return on equity are defined as the weighted average of the assets' rates of return less the liabilities' rates of return. Quadratic programming is used to delineate the set of banking portfolios which have the maximum rate of return on equity at each level of risk.     

Preparer versus user introductory sequence: the impact on performance in Intermediate Accounting I

The normal subject matter in the first semester of a traditional introductory accounting course closely parallels the content in Intermediate Accounting I. Because research shows that student performance in college accounting courses is influenced by prerequisite courses, one would expect that those who take a user-approach introductory sequence will not perform as well in later courses. The research reported in this paper compares the performance of students in a traditional Intermediate Accounting I course who took either a preparer-or-user approach introductory sequence. Of the 150 accounting majors in the sample, 53 (97) took a user-approach (preparer-approach) introductory sequence. Of the 97 preparer-approach students, 47 (50) were four-year (transfer) students. The results are consistent with prior research and indicate that SAT scores and student effort are significant for each of the individual tests and for the overall average in course examinations. Gender is not consistent a factor in performance, which also supports prior research. The data indicate that students who took a preparer-approach sequence did not score higher in Intermediate Accounting I and that entry status is not a factor in this performance. This finding leads to the question of whether or not a user-approach would better service those students in our introductory accounting courses who are not accounting majors.     

On Testing the Assumptions of the Cash Recovery Rate Approach to the Estimation of Economic Performance

The first purpose of this paper is to investigate the necessary (as opposed to sufficient) assumptions underlying the CRR approach to the estimation of corporate economic performance. By so doing, the general circumstances in which an estimate of corporate economic performance based on CRRs will exactly equal a firm's IRR are identified. It is pointed out that these necessary assumptions are related to the concept of corporate economic performance being invoked (within the general idea that we are trying to estimate a firm's internal rate of return). Second, there is a drawing out of the empirical implications, as to the behaviour of corporate cash flows and CRRs, of the necessary assumptions for the CRR approach to produce an estimate of economic performance equal to a firm's IRR for each of these definitions of corporate economic performance. In particular, it is argued that these empirical implications depend upon the specific manner in which the CRR approach is applied in practice. A third purpose of the paper is to provide some empirical evidence as to whether an example of the practice of using the CRR approach employs data consistent with the necessary assumptions for this particular approach to be valid outlined in the paper. In fact, it turns out that this might not be the case. The evidence casts light on the extent to which CRR-based estimates of corporate economic performance are likely to be reasonable proxies of firms' IRRs.     

Using Pacioli’s pedagogy and medieval text in today’s introductory accounting course

Students today see little relevance in learning double-entry bookkeeping and find it difficult to learn how to prepare journal entries correctly. In particular, they struggle with the first stage of the double-entry process: identifying which accounts are to be debited and which are to be credited for each transaction. This paper reports on an attempt to overcome this situation by using the first printed instructional text on the subject (Pacioli, 1494) as the principal textbook on a 20-hour component of the introductory financial accounting course in an undergraduate accounting degree program. Instruction followed the pedagogy presented by Pacioli and only minimal additional costs to faculty were incurred.     

Alternatives for addressing major challenges in teaching introductory auditing courses

Due to the numerous and extensive recent changes in business, regulatory, and auditing environments, instructors are faced with difficult choices when designing an introductory auditing course that sufficiently meets the needs of students and the firms that will employ them. Instructors whose students are primarily hired by firms that audit SEC registered companies, for example, might allocate significant class time to PCAOB Auditing Standard No. 5 [Public Company Accounting Oversight Board (2007). Board proposes new standard on internal control over financial reporting. www.pcaob.com]. On the other hand, instructors whose students are primarily hired by firms that audit non-SEC registered companies, might allocate significant class time to reviews and agreed-upon procedure services. This paper presents four alternatives for designing introductory auditing courses, and discusses some of the major issues and constraints that instructors should consider in choosing which alternative best suits their needs. Finally, the paper provides an example that illustrates the differences among the four alternatives by discussing how each might incorporate one such specific regulatory change—PCAOB Auditing Standard No. 5.