Abstract
The present paper addresses the following questions: Is non-arbitrary goodwill impairment testing possible? Would amortization be a better alternative than the impairment-only approach and, if so, should there be case-specific amortization periods or should accounting standards require a uniform amortization period? Empirical evidence suggests that non-arbitrary goodwill impairment testing is not feasible. However, academic literature provides very little in terms of a theoretical debate. To fill this gap, the present paper theoretically substantiates these empirically inspired concerns regarding arbitrariness of goodwill impairment testing and illustrates this substantiation with simple examples. Referring to the question whether an amortization approach is less arbitrary, it theoretically substantiates concerns regarding the arbitrariness of determining case-specific amortization periods. On the basis of this analysis, the paper recommends replacing the impairment-only approach by an amortization approach with uniform amortization periods.
1 Introduction
Because of recent changes in accounting standards for business combinations, the balance sheets of many companies include acquired goodwill. Based on data from 2019, Table 1 illustrates that listed companies in major stock indices around the world recognize a large amount of acquired goodwill in relation to their total equity (CFA Institute 2021).[1] A potential reason for these material amounts of goodwill could be that a periodical amortization of goodwill does not take place: In order to measure acquired goodwill, IFRS[2] as well as U.S. FAS follow the impairment-only approach.[3] Accordingly, an impairment write-off is only required if the recoverable amount of goodwill has fallen below its outstanding value according to an impairment test. This test is supposed to be taken regularly.
Goodwill as percentage of total equity for major stock indices across the globe in 2019 (CFA Institute 2021, 6)a.
| Americas | Europe, Middle East, and Africa | Asia Pacific | |||
|---|---|---|---|---|---|
| S&P 500 (New York Stock Exchange) | 42.21 % | CAC 40 (Euronext Paris) | 40.63 % | ASX (Australian Securities Exchange) | 16.64 % |
| RUSSEL 2000 (New York Stock Exchange) | 33.10 % | DAX (Deutsche Börse Group) | 38.53 % | JAPAN NIKKEI 225 (Tokyo Stock Exchange) | 9.39 % |
| TSX (Toronto Stock Exchange) | 25.06 % | EURO STOXX 50 (STOXX) | 38.17 % | KOREA KOSPI (Korea Stock Exchange) | 5.10 % |
| MEXICO IPC (Bolsa Mexicana de Valores) | 25.06 % | FTSE 100 (London Stock Exchange) | 24.15 % | HANG SENG (Hong Kong Stock Exchange) | 5.03 % |
| BOVESPA INDEX (Brasil Bolsa Balcão) | 11.42 % | AEX (Euronext Amsterdam) | 20.97 % | INDIA SENSEX (Bombay Stock Exchange) | 4.68 % |
| SHANGHAI COMPOSITE INDEX (Shanghai Stock Exchange) | 1.75 % | ||||
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aFor constructing these percentages, the CFA Institute sums up the net goodwill assets of all companies belonging to the index and divides this sum by the sum of all equities of the index. For example, the CFA Institute reports 659,370 million Euros net goodwill for the 50 companies of the Euro Stoxx 50, divides this by 1,727,504 million Euros total equities, and receives a goodwill percentage of 38.17 % (CFA Institute 2021, 6).
Proponents of the impairment-only approach claim that it provides a more faithful representation of economic properties of goodwill than a periodical amortization mechanism (Chalmers, Godfrey, and Webster 2011; Financial Accounting Standards Board 2001; Hayn and Hughes 2006; International Accounting Standards Board 2020; Montgomery 1912):
“The Board reaffirmed its decision that nonamortization of goodwill combined with an adequate impairment test will provide financial information that more faithfully reflects the economic impact of acquired goodwill on the value of an entity than does amortization of goodwill. The Board concluded that the goodwill impairment test prescribed by this Statement will adequately capture goodwill impairment. It thus concluded that nonamortization of goodwill will result in the most useful financial information within the constraints of the current accounting model and available valuation techniques.” (Financial Accounting Standards Board 2001, 54).
“Proponents of retaining the impairment-only model generally give one or more of the following arguments:
the impairment-only model provides more useful information than amortization […]
if applied well, the impairment test achieves its purpose. The PIR of IFRS 3 and the Board’s subsequent research have not found new evidence that the test is not sufficiently robust […]
acquired goodwill is not a wasting asset with a finite useful life, nor is it separable from goodwill subsequently generated internally […]
reintroducing amortisation would not save significant cost […]”
However, empirical evidence suggests that without periodical amortization, managers have incentives to manage earnings through goodwill measurement and that the impairment-only approach goes hand in hand with aggressive accounting practices (Caruso, Ferrari, and Pisano 2016; Giner and Pardo 2015; Glaum, Landsman, and Wyrwa 2018; Li and Sloan 2017; Ramanna and Watts 2012).[4] Ramanna and Watts’s (2012) findings suggest, for example, that goodwill impairment tests do not notably disclose information that was not yet reflected by market prices. However, their findings also suggest that goodwill non-impairment depends on whether managers have an interest in shielding their reputation. Whether they have an interest to do so is measured via their tenure (long-time CEOs are more likely to have been involved in the acquisitions that generated the goodwill) and via the dependence of their bonusses on goodwill impairment. Also, Glaum, Landsman, and Wyrwa’s (2018) findings indicate that managers’ reputational costs have a strong influence on impairment decisions: New CEOs who were less likely involved in former acquisitions write off acquired goodwill far more often than established CEOs who were more likely involved. Li and Sloan’s (2017) study suggests that the impairment-only approach usually leads to inflated goodwill balances and untimely impairments. In turn, when a firm already performs relatively poorly, their findings indicate that managers underreport earnings through maximum goodwill impairment to reduce the precision and to increase reported earnings in the future. Further empirical evidence shows that reporting companies hardly recognize any impairment losses (Duff & Phelps Corporation 2018, 2021; IASB International Accounting Standards Board 2020, 3.60).
All this evidence appears to suggest that non-arbitrary goodwill impairment testing is impossible. However, the literature provides very little in terms of a theoretical debate: The empirical studies mentioned above do not relate to any theory. To close this gap, the present paper addresses the following questions and asks for theoretically substantiated answers: Is non-arbitrary goodwill impairment testing feasible? Would amortization be a better alternative than the impairment-only approach and, if so, should there be individual, case-specific amortization periods or should accounting standards require a uniform amortization period? To answer these questions, section 2 first summarizes the known problems of measuring goodwill. Section 2.1 sketches how goodwill accounting and goodwill impairment are done according to current IFRS 3 and IAS 36. Section 2.2 summarizes the central arguments of the discussion of impairment-only approach versus amortization approach according to my literature review. Section 3.1 assigns the impairment-only approach to a neoclassical economic framework and reconstructs goodwill measurement in the neoclassical model where goodwill impairment testing is unproblematic and where the results can be interpreted as indifference prices shared by all market participants. Section 3.2 just drops two of the most unrealistic assumptions of the neoclassical economic framework, i.e. the assumption of a uniform, risk-free interest rate for lending and borrowing and the assumption of homogeneous expectations. By releasing these two assumptions which are factually unrealistic, my analysis shows that goodwill impairment testing outside the model is arbitrary and illustrates with two simple examples that dropping the assumptions can lead to very diverse results, paving the way to aggressive accounting through goodwill measurement. Section 4 investigates whether an amortization approach can reduce arbitrariness. It discusses whether it is adequate to spread extra-payments made for goodwill over the individual planning horizons that managers considered before deciding on the business combination. The central problem is that there are incentives to claim planning horizons that are far longer than the planning horizons that managers would seriously consider for decision-making. Thus, the paper analyses whether an amortization approach with a uniform amortization period is an adequate alternative. It comes to the result that it is because it satisfies the idea of assigning extra-payments for goodwill to future revenues in a transparent manner and it is hard to manipulate. On the basis of this analysis, the paper recommends replacing the impairment-only approach by an amortization approach with uniform amortization periods. The reasoning of this paper is in line with a historical cost approach to goodwill recognition and measurement. On the contrary, the impairment-only approach is compatible with a current value approach, which is the focus of this paper’s critique.
Beyond goodwill measurement as such, the present paper contributes to critical discussions of current value accounting (Biondi 2011a; Biondi 2017; Braun 2019; Fukui and Saito 2022; Haslam et al. 2016; Haslam 2017; Laux and Leuz 2010; Richard 2017; Yuan and Liu 2011): The impairment-only approach is just one expression of current value accounting as a general phenomenon (Martins, Sá, and Taborda 2023).[5] Furthermore, the present paper indirectly contributes to critical discussions on the shareholder value concept (Clarke 2013; Robé 2012, 2020; Stout 2012): Estimating a current value of the whole business unit is the starting point of any goodwill impairment test, and the impairment-only approach emphasizes goodwill impairment tests.
2 Problems of Measuring Goodwill
2.1 Goodwill Accounting and Impairment according to Current IFRS
The International Accounting Standards Board defines goodwill as “an asset representing the future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized” (IFRS 3, Appendix A: Defined terms). Hence, the IFRS concept of goodwill is based on the idea that an entire business unit is worth more than the sum of its parts in terms of netting its revaluated individual assets against its revaluated individual liabilities. As the following Table 2 visualizes, goodwill can, for example, come from excellent staff, high managerial ability, market power, a valuable customer or supplier base, or a good name and reputation (Gynther 1969, 247).
Examples for sources of goodwill (Gynther 1969, 247).
| Examples: various sources of goodwill | ||||||
|---|---|---|---|---|---|---|
| Excellent staff | High managerial ability | Market power | Valuable customer base | Valuable supplier base | Reputation | (Further sources of goodwill) |
Not only financial accounting standards like IFRS as well as U.S. FAS, but also the International Valuation Standards incorporate the idea of a synergistic value that is the result of combining assets “where the combined value is more than the sum of the separate values” (IVSC 2022, 26). Because of, e.g. synergies, we can usually assume that the buyer of a whole business unit is willing to pay more than for all revaluated individual assets minus revaluated individual liabilities. This difference in the consideration transferred represents the phenomenon ‘goodwill’. Finance literature refers to a control premium to justify a premium price paid by the acquirer in view to obtain control over a target company (Roach 1998; Schwert 1996).
In principle, there are many different possibilities how accounting standard setters could deal with the phenomenon of ‘goodwill’ (Ding, Richard, and Stolowy 2008). On the most abstract level, they could completely ignore it, they could require that every goodwill shall be recognized as an asset, or they could choose a way in between. The International Accounting Standards Board opts for prohibiting the recognition of any internally generated, i.e. any non-purchased goodwill[6] while requiring the recognition of every acquired goodwill, i.e. every goodwill that is purchased in a business combination (IFRS 3.32). This means, after a business combination where an acquirer has paid a consideration for acquiring a whole business, the residual payment made beyond the total value of revaluated net assets acquired in that acquisition has to be recognized in the balance sheet as acquired goodwill.
According to IFRS, after a business combination, the acquirer shall initially measure acquired goodwill as the difference between the consideration transferred and the amount of all identifiable individual assets transferred less liabilities assumed (IFRS 3.32). Both, the consideration transferred as well as the individual assets and liabilities, have to be measured at their acquisition-date fair values (IFRS 3.18, 3.32 b, 3.37). This also applies to assets and liabilities that the acquiree had not previously recognized but that, nevertheless, meet the definition of assets and liabilities in the Conceptional Framework for Financial Reporting (IFRS 3.11-3.13). If applicable, the consideration transferred has to be completed by the amounts of non-controlling interests in the acquiree and by the amounts of the acquirer’s previously held equity interests (IFRS 3.32).
For subsequent measurement, there are, again, different possibilities how accounting standard setters could treat goodwill: They could treat it as an asset that has an indefinite life and just require impairment testing; i.e. reporting entities would write-off goodwill only if there is a permanent decrease in its value (Black and Zyla 2018; Garcia, Katsuo, and Mourik 2018; Grinyer, Russel, and Walker 1990; McKinnon 1983). Alternatively, they could require that goodwill is amortized, i.e. treated like an intangible asset with a limited useful life and progressively written down over a convenient time span (Black and Zyla 2018; Garcia, Katsuo, and Mourik 2018; Grinyer, Russel, and Walker 1990; McKinnon 1983). They might also require the reporting entity to write-off it immediately at the time of the business combination. The International Accounting Standards Board has chosen the first option, i.e. they follow the so-called impairment-only approach: They prohibit amortizing goodwill but require annual impairment testing for every recognized goodwill, whether there is indication for impairment or not (IAS 36.10 b; IASB 2020). In result, the approach retained by both the IASB and also the FASB is the acquisition method, i.e. an acquired goodwill is recognized but not amortized. Instead, it is tested for impairment (Baker, Biondi, and Zhang 2009; IFRS 3.4-3.5).[7]
For the impairment test, IAS 36 requires that goodwill is allocated to all cash-generating units of the acquirer that are expected to benefit from the synergies of the business combination (IAS 36.80). Hence, IFRS do not require further allocation to different elements of the cash-generating unit. According to IAS 36, a cash-generating unit is the smallest identifiable group of assets that generates cash inflows that are largely independent of the cash inflows from other assets or groups of assets (IAS 36.6). An impairment loss shall be recognized if, and only if, the recoverable amount of the cash-generating unit is less than its carrying amount (IAS 36.104). The recoverable amount of a cash-generating unit is, by definition, the higher amount of its fair value less costs of disposal on the one hand and its value in use on the other hand (IAS 36.18, 36.105; IASB 2020). The fair value of a cash-generating unit is the price that would be received to sell the whole unit in an orderly transaction at the date of the impairment test (IASB 2020, 28). The value in use of a cash-generating unit is the present value of the future cash flows expected from the whole cash-generating unit (IASB 2020, 28). Flow Chart 1 visualizes this valuation process for impairment testing.

Goodwill impairment test according to IAS 36.
Goodwill cannot be measured directly, but only as a residual (IASB 2020). The way the current IAS 36 has chosen to deal with this is firstly, to allocate an eventual impairment loss to goodwill and secondly, after the carrying amount of the goodwill is used up, to allocate the remaining impairment loss to the other assets of the unit (IAS 36.104). The impairment loss is recognized in the income statement (IAS 36.60, 36.104). If, in subsequent reporting periods, the recoverable amount of the cash-generating unit increases again, IAS 36 prohibits reversing any previous goodwill impairment loss.
Unless goodwill is impaired, a write-down of an acquired goodwill does not take place. The International Accounting Standards Board (2020) as the standard setter of the IFRS has recently confirmed its choice to follow the impairment-only approach: “A small majority (eight out of 14 Board members) reached a preliminary view that the Board should retain the impairment-only model” (IASB 2020, 3.89).
2.2 Impairment Versus Amortization in Literature
In principle, from a standard setters’ point of view, there are three general options how to treat an acquired goodwill: They could require that it is written off immediately, they could follow an impairment-only approach, or they could follow an amortization approach, i.e. they could require that an acquired goodwill is written down over a suitable time called amortization period. Historically, where standard setters chose the amortization approach, amortization periods ranged from zero to 40 years (Biondi et al. 2012).
The first option to treat an acquired goodwill, i.e. an immediate goodwill write-off after the business combination, relates to a static view on accounting that sees the determination of a liquidation market value as the central purpose of a balance sheet (Dicksee and Tillyard 1920; also see Ding, Richard, and Stolowy 2008; Garcia, Katsuo, and Mourik 2018). Ding, Richard, and Stolowy (2008) distinguish four historical phases of accounting for goodwill; a static phase or non-recognition phase, a weakened static phase, a dynamic phase, and an actuarial phase. Dicksee and Tillyard (1920) are not pure static authors, but regarding goodwill, “Dicksee thought that goodwill should be excluded from accounts whenever practicable, and that it should be written off as quickly as possible in other cases” (Carsberg 1966, 4) which relates to a static view on goodwill accounting. From this view, protecting creditors is central if the company becomes insolvent: A static balance sheet should give an indication whether the company can repay its debts also in case of insolvency (Garcia, Katsuo, and Mourik 2018). From this perspective, goodwill, whether acquired or internally generated, is not eligible for recognition in a balance sheet because it cannot be disposed in case of liquidation and, thus, does not protect creditors in such case. The option of an immediate write-off will not be explored further in this paper.
The second option to treat an acquired goodwill, i.e. an impairment-only approach, relates to an asset-liability view (also called actuarial view) that sees the determination of an economic value of equity from the shareholders’ perspective as the central purpose of the balance sheet (Ding, Richard, and Stolowy 2008; Garcia, Katsuo, and Mourik 2018; May 1957; Saito and Fukui 2016). An asset-liability view is the perspective that the International Accounting Standards Board (IASB) takes and that is incorporated in the IFRS (Saito and Fukui 2016). Goodwill is then a genuine part of this understanding of economic value of equity. In this view, goodwill is a permanent asset that can merely be affected by impairment and that is not consumed over time (Montgomery 1912). From this perspective, every amortization or even non-recognition of goodwill underestimates the economic value of the business from a shareholders’ perspective. An eventual reduction in this economic value has to be recognized in the form of impairment.
The third option to treat an acquired goodwill, i.e. an amortization approach, relates to a revenue-expense view (also called dynamic view) that sees the determination of shareholders’ periodical income as the central purpose of a balance sheet (Braun 2019; Ding, Richard, and Stolowy 2008; Garcia, Katsuo, and Mourik 2018; Richard 2017; Saito and Fukui 2016). From this view, revenues shall be matched with their costs; otherwise, a net income for a given reporting period is not determinable. The maximum distributable income has to be determined thus that, despite its distribution to shareholders, capital maintenance of the on-going concern is ensured (Ding, Richard, and Stolowy 2008). A consideration – paid to perform a business combination – that exceeds the costs of the net assets of a business is part of the costs paid to acquire the whole business. Conclusively, goodwill has to be amortized in order to match these costs with future revenues which are expected to be earned from the acquired business (Garcia, Katsuo, and Mourik 2018; Hatfield 1918; IASB 2020). From this perspective, an impairment-only approach is not adequate because it does not relate the capitalized cost that an acquired goodwill represents to future revenues.
Beyond these purpose-related arguments, prior discussion provides arguments that focus on the feasibility of these purposes. An argument against the impairment-only approach is that estimating a present value in use as well as a fair value of a whole business is all too subjective and arbitrary (Caruso, Ferrari, and Pisano 2016; Giner and Pardo 2015; Glaum, Landsman, and Wyrwa 2018; IASB 2020; Li and Sloan 2017; Ramanna and Watts 2012). As these are looking-forward values, they depend on many unobservable variables and forecasts (Martins, Sá, and Taborda 2023). This means, on the one hand, that management over-optimism can lead to an overestimation of the businesses’ economic value for the shareholders (IASB 2020). On the other hand, apart from unintended over-optimism, managers could utilize this subjectivity for deliberate overestimations. However, the IASB did not follow such arguments in its final ruling: “If estimates of cash flows are sometimes too optimistic in practice, the Board considers that this is best addressed by auditors and regulators, not by changing IFRS Standards” (IASB 2020, 3.29).
An argument for the impairment-only approach and against amortization is that, in case of amortization, the useful lifetime of goodwill is hard to estimate (Giner and Pardo 2015; Henning and Shaw 2003; IASB 2020). Thus, such an estimation is subjective and, therefore, it is arbitrary, too. Estimating the useful lifetime of goodwill can also be affected by unintended over-optimism or deliberate overestimations. In both cases, i.e. when the useful lifetime of an acquired goodwill is overestimated, annual amortization is too little and, thus, annual income as the excess of revenues over costs is overestimated. This misses the purpose of the revenue-expense view, i.e. to adequately determine periodical income.
An argument for amortization and against the impairment-only approach that the IASB (2020) mentions is the proposition that the impairment-only approach can lead to a replacement of acquired goodwill by internally generated goodwill, because “the future costs that maintain a company’s reputation and competitiveness would generate new goodwill internally rather than maintain the acquired goodwill. The acquired goodwill is continually consumed and replaced by internally generated goodwill” (IASB 2020, 3.63 c). A goodwill impairment test according to IAS 36 does not differentiate between internally generated and acquired goodwill. This is also a potential argument for quick amortization because the less annual amortization charge, the larger the probability of replacing acquired goodwill by internally generated goodwill.
A further argument for amortization and against the impairment-only approach that the IASB (2020) mentions is that amortization could reduce the costs of accounting. They relate to feedback from stakeholders who describe goodwill impairment tests as complex, time-consuming, and expensive (IASB 2020). An amortization approach could be a simple mechanism and would take pressure from expensive impairment tests.
An argument against the impairment-only approach in the current version of IAS 36 is that it leads to shielding (IASB 2020). Shielding happens when an acquired goodwill decreases but impairment does not take place because a reduction in the recoverable amount of the business is assigned not to acquired goodwill, but to unrecognized ‘headroom’. This could be unrecognized individual assets, differences between carrying amounts and recoverable amounts of recognized assets other than goodwill, and internally generated goodwill (IASB 2020). According to IAS 36, an impairment loss shall be recognized if, and only if, the recoverable amount of the whole cash-generating unit is less than its carrying amount (IAS 36.104). If the economic value of the acquired goodwill decreases but the unrecognized headroom is so large that the recoverable amount of the whole cash-generating unit does not fall below its carrying amount, no impairment takes place (IASB 2020). This problem is generally solvable by replacing the impairment test of current IAS 36 with a headroom approach that partly assigns a decrease in the recoverable amount of the whole cash-generating unit to the unrecognized headroom (IASB 2020). However, the IASB did not retain a headroom approach: “The Board concluded that the ‘headroom approach’ would reduce shielding but not eliminate it, because: (a) as discussed in paragraphs 3.43–3.46, the allocation of any reduction in total goodwill is imperfect; and (b) if the acquired business is performing poorly, better performance from other elements of the combined business could still shield the acquired goodwill from impairment. Moreover, the ‘headroom approach’ could result in recognising impairments that are, in some circumstances, difficult to understand (see paragraphs 3.45–3.46) and the approach would add cost” (IASB 2020, 3.49-3.50).
Table 3 summarizes all prior arguments regarding the impairment-only approach versus an amortization approach.
Summary of arguments regarding impairment versus amortization.
| Impairment-only approach | Amortization approach | |
|---|---|---|
|
Related view on accounting
(Braun 2019; Ding, Richard, and Stolowy 2008; Garcia, Katsuo, and Mourik 2018; May 1957; Saito and Fukui 2016) |
Asset-liability view → Determining an economic value of equity |
Revenue-expense view → Determining periodical income |
| Prior arguments: Subjectivity and arbitrariness | Estimating value of goodwill subjective and arbitrary → Manipulability of economic value of equity → Unobservable variables and forecasts (Caruso, Ferrari, and Pisano 2016; Giner and Pardo 2015; Glaum, Landsman, and Wyrwa 2018; IASB 2020; Li and Sloan 2017; Martins, Sá, and Taborda 2023; Ramanna and Watts 2012) |
Estimating useful lifetime of goodwill subjective and arbitrary → Manipulability of periodical amortization expenses → Manipulability of periodical income (Giner and Pardo 2015, 25; Henning and Shaw 2003; IASB 2020) |
| Further prior arguments | Can lead to replacement of acquired goodwill by internally generated goodwill (IASB 2020) Impairment tests: complex, time-consuming, expensive (IASB 2020) In the current version of IAS 36: Unrecognized headroom shields goodwill against impairment (IASB 2020) |
Amortization could reduce the costs of accounting (because simple mechanism) IASB (2020) |
3 Feasibility of Non-arbitrary Goodwill Impairment Tests
3.1 Reconstructing the Neoclassical Economic Interpretation of Impairment Tests
This paper follows literature and assigns the impairment-only approach to an asset-liability view on accounting (see above). The asset-liability view is often associated with a neoclassical economic framework (Braun 2019, Saito and Fukui 2016).[8] Hence, it is relevant to investigate whether a neoclassical economic framework can help us assess whether the impairment-only approach contributes to the central purpose of accounting from an asset-liability point of view, i.e. to determine an economic value of equity. This section shows that a neoclassical economic framework can neither help to substantiate the impairment-only approach, nor can it help to reject it because it says too little about the value of goodwill and equity outside the neoclassical model. Furthermore, this section shows that goodwill measurement cannot adequately determine an economic value of equity and, thus, rejects the asset-liability view on goodwill measurement.
As section 2.1 illustrates with the example of IFRS, a goodwill impairment test requires determining the recoverable amount of the whole cash-generating unit, i.e. the higher amount of its fair value less costs of disposal on the one hand and its value in use on the other hand (IAS 36.18, 36.105; IASB 2020). In case of entire cash-generating units, the established concept for determining both is to apply present value techniques, especially the discounted cash flow approach (DCF approach), and to discount all expected future cash flows by a discount rate that shall represent the shareholders’ opportunity costs (Kruschwitz and Löffler 2020; Matschke and Brösel 2021; Mercer and Harms 2021, 15; Olbrich, Quill, and Rapp 2015). The core problem is that the DCF approach is based on assumptions of a neoclassical economic framework (Kruschwitz and Löffler 2020; Matschke, Brösel, and Matschke 2010; Matschke and Brösel 2021; Olbrich, Quill, and Rapp 2015).
These assumptions are clearly not realistic (Braun 2019): The neoclassical economic framework assumes that all actors are perfectly rational, they have homogeneous expectations, there are no information asymmetries between them, and markets are efficient (Hitz 2007; Schmiel and Weitz 2019). Markets are supposed to be in a stable equilibrium and free of arbitrage opportunities (Follert 2023; Ross 2005). There are no transaction costs. However, the probably most important assumption of the neoclassical economic framework is that there is a uniform and risk-free interest rate available for everyone: All market participants can lend as well as borrow any amount of money at this uniform interest rate. Thus, there are no individual differences in opportunity costs (Olbrich, Quill, and Rapp 2015). Given this set of assumptions, every asset has an unambiguous price that represents the level of indifference for every market participant (Arrow 1964; Arrow and Debreu 1954; Boulding 1935; Coase, Buchanan, and Thirlby 1938; Dean 1951; Debreu 1959; Fisher 1930; Gordon and Shapiro 1956; Graham and Dodd 1934; Hirshleifer 1958; Preinreich 1935; Quill 2020; Ross 2005; Smith 1967; Williams 1938), that is the level at which a market participant would have the same expected utility by exercising a financial transaction as by not doing so optimally. At this unambiguous equilibrium price (Follert 2023), every potential buyer of some asset is indifferent regarding buying or not. Similarly, at this price, every potential seller is indifferent regarding selling or not. This price, which represents the level of indifference for every market participant, depends on the future cash flows that the use(s) of the asset are expected to generate (Boulding 1935; Coase, Buchanan, and Thirlby 1938; Dean 1951; Fisher 1930; Gordon and Shapiro 1956; Graham and Dodd 1934; Hirshleifer 1958; Preinreich 1935; Smith 1967; Williams 1938): The future cash flows, discounted at the uniform, risk-free interest rate (discount rate), results in this unambiguous price where everyone is indifferent. The kind of asset is not specified in the neoclassical model: The model relates to whole businesses as well as to their assets and liabilities.
Taking the neoclassical economic framework as basis for goodwill measurement means understanding ‘value of goodwill’ as a residual of the value of the whole business unit over the sum of the values of its net assets within the model. We can understand this residual as the synergistic value (IVSC 2022) that cannot be assigned to the net assets and is, thus, the value of goodwill.
The following example 1 illustrates the value of goodwill within the neoclassical model in the absence of uncertainty.
Example 1:
(valid only within the neoclassical model): Some given business unit with net assets of 1,000 has a remaining lifetime of three periods (for simplification, the business will end thereafter). It will generate the future cash flows presented in Table 4 (cash inflows minus cash outflows, all payments at the end of each period).
The uniform, risk-free interest rate for lending and borrowing (that the neoclassical model assumes to exist) is 10 %. There are, for sake of simplicity, two market participants X and Y, who have different preferences regarding present consumption versus future consumption: X prefers present consumption over future consumption and Y prefers future consumption over present consumption.
Because of the assumed uniform, risk-free interest rate, both market participants are indifferent regarding buying the business unit, keeping it, or selling it at the following present value at the beginning of period 1:
At a price below 3,000, market participant X, who prefers present consumption over future consumption, realizes his utility maximum by buying the business unit or keeping it and completing this investment with borrowing money at the uniform interest rate of 10 %. Market participant Y who prefers future consumption over present consumption, also realizes her utility maximum by buying the business unit or keeping it, but completing her investment by lending money at the uniform, risk-free interest rate of 10 %. At a price above 3,000, both market participants achieve their utility maxima by selling the business unit (buying or keeping it would be suboptimal for both). For both, despite their different preferences, the present value of 3,000 represents their common indifference price regarding buying the business unit, keeping it, and selling it at the beginning of period 1. As the value of all its net assets (defined in the same neoclassical manner) is 1,000, the difference between the value of the whole business unit of 3,000 and the value of its net assets of 1,000 represents the value of goodwill of 2,000.
Assuming that the value of the net assets remains 1,000, the value of goodwill develops over time as presented in Table 5 (all numbers refer to the beginning of each period).[9]
Given the model of example 1, a goodwill impairment test that satisfies the asset-liability view on accounting would be unproblematic: A decrease in the value of goodwill would indicate an unambiguous amount of goodwill impairment. However, in the model, a goodwill impairment test would be unnecessary and actually provide no information that is not already common knowledge: In a model with perfectly rational market participants and no information asymmetries, financial accounting provides no information that is not already available for everyone (Hitz 2007).
The assumption of the existence of a uniform, risk-free interest rate implies that there is an unambiguous, optimal portfolio that is utility-maximizing independent of the investor’s specific risk preferences (Lintner 1965; Markowitz 1952; Olbrich, Quill, and Rapp 2015; Ross 2005; Sharpe 1964; Quill 2020):[10] The investor chooses the risky asset or the optimal portfolio of risky assets and complements this investment either with riskless lending at the uniform, risk-free interest rate or with borrowing money at this uniform interest rate, depending on their individual risk preference. In the words of Lintner regarding an investor who invests in a risky stock, the result of the model is as follows: “Then, after having found the “best stock”, he ignores all others (in this mutually exclusive case), and using its market opportunity line, he proceeds to decide how much to invest in it (and how much to keep in saving deposits, or how much to borrow)” (Lintner 1965, 594).
To discount expected future cash flows of risky assets, neoclassical finance considers risk aversion by discounting them with risk-adjusted discount rates and, thus, with higher discount rates than the uniform, risk-free interest rate (Follert 2023; Rappaport 1986; Quill 2020): Due to the mentioned existence of an optimal risky investment under the given assumptions, opportunity costs at any level of risk are calculable on the basis of the return of the optimal risky investment and the uniform, risk-free interest rate.
The following example 2 illustrates the value of goodwill within a neoclassical economic framework considering stochastic uncertainty.
Net payments of example 1.
| Period | 1 | 2 | 3 |
| Net payments | 1,100 | 1,210 | 1,331 |
Value of goodwill over time of example 1.
| Period | 1 | 2 | 3 |
| Whole business: Present value | 3,000 | 2,200 | 1,210 |
| Net assets | 1,000 | 1,000 | 1,000 |
| Value of goodwill | 2,000 | 1,200 | 210 |
Example 2:
(valid only within the neoclassical model): Some given business unit with net assets of 9,500 is expected to generate a net payment in two periods; subsequently, for simplification, the business will end. This future payment at the end of period 2 is risky and its expected value is 12,996. The uniform, risk-free interest rate is 10 %. Because of the risky future payment, the uniform, risk-free interest rate does not represent opportunity costs with comparable risk. However, a risk-adjusted interest rate of 14 % represents opportunity costs with equal risk.[11] All market participants are indifferent regarding buying the business unit, keeping the business unit, and selling it at the following present value:
Despite different preferences regarding present consumption versus future consumption, but also despite different risk preferences, a price of 10,000 represents the common indifference price for every market participant. As the value of all net assets (defined in the same neoclassical manner) is 9,500, the difference between the value of the whole business unit of 10,000 and the value of its net assets of 9,500 represents the value of goodwill of 500 at the beginning of period 1.
Given the model of example 2, a goodwill impairment test would still be unproblematic despite stochastic uncertainty. However, in the same manner as in example 1, a goodwill impairment test would be unnecessary and provide no information that is not common knowledge. It would not reduce uncertainty because the stochastic parameters are known, and risk is perfectly considered in the resulting indifference price for everyone.
3.2 The Missing Feasibility of Non-arbitrary Goodwill Impairment Tests Beyond the Neoclassical Model
In the real world, discounting future cash flows that an investment is expected to generate does not lead to the common indifference price that the neoclassical model assumes: When we just drop the assumption of the uniform, risk-free interest rate while keeping all other assumptions, the opportunity costs of all potential actors are not uniform anymore and their levels of indifference start to differ (Matschke, Brösel, and Matschke 2010; Matschke and Brösel 2021; Olbrich, Quill, and Rapp 2015).
The following example 3 highlights the effect of dropping the assumption of a uniform, risk-free interest rate.
Example 3:
(dropping the assumption of a uniform, risk-free interest rate, but keeping all other neoclassical assumptions): A business unit with net assets that could immediately be sold for 20,000 is expected to generate a net payment of 45,000 in five periods from now; subsequently, for simplification, the business will end. To buy it, market participant A could invest money that he could alternatively lend at an interest rate of 5 % at equal risk. Market participant B has no money available but could borrow it for an interest rate of 10 %. Market participant C, who also has no money available, has worse credit and would have to pay 20 % for borrowing money. These market participants are indifferent regarding buying the business unit or not at the beginning of period 1 at three different prices:
Market participant A: PV = CF5⋅(1 + r)−5 = 45,000⋅1.05−5 = 35,259
Market participant B: PV = CF5⋅(1 + r)−5 = 45,000⋅1.1−5 = 27,941
Market participant C: PV = CF5⋅(1 + r)−5 = 45,000⋅1.2−5 = 18,084, i.e., C would not wait for the future net payment but dispose the net assets immediately for 20,000. Accordingly, his indifference price is not 18,054, but 20,000.
Hence, from the perspective of A, the goodwill has a value of 15,259 at the beginning of period 1. From the perspective of B, its value is 7,941, and from the perspective of C, there is no positive goodwill because the immediately disposable net assets of 20,000 are worth more than the future net payment of the whole business unit.[12]
As we see in this example, a goodwill impairment test can provide very diverse results when we just drop the assumption of a uniform discount rate. Dropping this assumption makes sense because, in reality, most market participants may be able to lend at an interest rate with little risk, but they cannot all borrow at the same rate. For instance, only AAA-rated creditors can borrow money at a AAA interest rate, but all other market participants cannot.
When we further drop the assumption of homogeneous expectations, the expected future cash flows of various market participants begin to differ (Martins, Sá, and Taborda 2023). Whether net assets or an entire cash-generating unit, the problem remains the same: Discounted future cash flows do not represent a common level of indifference anymore. Hence, also a residual between the discounted cash flow of an entire cash-generating unit and the aggregated discounted cash flow of its net assets are no unambiguous numbers anymore.
The following example 4 considers not only that opportunity costs of market participants differ, but also that they do not have homogeneous expectations.
Example 4:
(modification of example 3, also dropping the assumption of homogeneous expectations): Market participant A expects the business unit to generate 50,000 in five periods from now, market participant B expects it to generate 45,000, and market participant C expects the payment to be 40,000. The three different discount rates are the same as in example 3. At the beginning of period 1, these market participants are indifferent regarding buying the business unit, selling it, or doing neither at three very different prices:
Market participant A: PV = CF5⋅(1 + r)−5 = 50,000⋅1.05−5 = 39,176
Market participant B: PV = CF5⋅(1 + r)−5 = 45,000⋅1.1−5 = 27,941
Market participant C: PV = CF5⋅(1 + r)−5 = 40,000⋅1.2−5 = 16,075. Again, C would not wait for the future net payment but sell the net assets immediately for 20,000. Hence, his indifference price is not 16,075, but 20,000.
Thus, from the perspective of A, the goodwill has a value of 19,176. From the perspective of B, its value is 7,941, and from the perspective of C, there is no positive goodwill because the immediately disposable net assets of 20,000 are worth more than the future net payment of the whole business unit.
Let us now assume that this business was acquired in the past for 30,000. Further, let us assume that there were net assets of 20,000 also in the past at the time of the acquisition (for simplification and for leaving out questions of headroom, I assume net assets to be constant over time). In case we measure goodwill in the present on the basis of the indifference prices above, the balance sheets of A, B, and C report very different impairment losses and subsequent carrying amounts of goodwill after impairment in the present (Table 6).
Goodwill impairment for A, B, and C, given the assumptions of example 4.
| Past: Carrying amount of goodwill after initial recognition | Impairment loss | Present: Carrying amount of goodwill after impairment | |
|---|---|---|---|
| Market participant A | 10,000 | 0 | 10,000 |
| Market participant B | 10,000 | 2,059 | 7,941 |
| Market participant C | 10,000 | 10,000 | 0 |
The central message of the examples is that, when we drop the assumption of uniform opportunity costs or the assumption of homogeneous expectations, the indifference prices can be widely different as long as we do not add reasons beyond the neoclassical model why the indifference prices should be close to each other. Beyond these two assumptions, we could also drop the other assumptions of the neoclassical economic framework and, accordingly, obtain even fewer reasons to assume similar results for different market participants.
These strict assumptions give reasons to doubt whether a goodwill impairment test based on the DCF approach could represent economic reality faithfully, because the neoclassical model proved to be unrealistic. Besides, a complete and perfect capital market would make financial accounting superfluous (Hitz 2007): Within the neoclassical economic framework, even information asymmetries are not definable because of the perfect rationality assumption and the homogeneous expectations assumption. When we drop the central assumptions of the neoclassical economic framework, there are no common indifference prices, i.e. there are no common fair values. The values of using a business unit differ among market participants, too. Furthermore, when we acknowledge that market participants have diverging expectations, someone can determine the value in use of a business unit almost arbitrarily (value in use in the sense of IAS 36[13]): As long as we do not add reasons beyond the neoclassical model why estimated future cash flows of different market participants should be close to each other, managers have ample scope to manage reported earnings through goodwill measurement. As prior literature makes assumptions not based on theoretical reasons, but on empirical findings, such scope goes hand in hand with aggressive accounting practices (Caruso, Ferrari, and Pisano 2016; Giner and Pardo 2015; Glaum, Landsman, and Wyrwa 2018; Li and Sloan 2017; Ramanna and Watts 2012). The results of this section substantiate these empirical findings theoretically. In summary, the neoclassical understanding of value and income can neither help to substantiate the impairment-only approach, nor can it help to reject that approach because it says too little about the value of goodwill outside the model.
When we try to substantiate the impairment-only approach with alternative economic approaches beyond a neoclassical economic framework, it is hard to find theoretical reasons for the feasibility of non-arbitrary goodwill impairment tests, too. Let us look at an interpretation of markets that sees market prices for business units and assets not as a result of perfectly rational decision making, but as a result of local knowledge that is shared within social contexts like management boards. The central idea is to interpret the DCF approach, including established methods for risk-adjusting discount rates like the CAPM, as local knowledge that is subject to an ongoing evolutionary process within a social context (Campbell 1960, 1965; Knudsen 2002, 2004). For example, socially shared routines, habits, and norms are types of such evolving local knowledge (Knudsen 2002). As discounting future cash flows is not the only thinkable way of determining values; alternative approaches like valuation with multiples (Schueler 2020) are kinds of such local knowledge, too. Referring to this general idea, we can understand socially shared valuation techniques and professionals’ common opinions about them as types of evolving local knowledge.[14] When techniques like the DCF approach are a socially shared way of determining minimum and maximum prices before selling and buying business units and assets, they can have a performative, self-fulfilling effect on market prices when market participants actually apply them, independent of whether their underlying assumptions are realistic or not (Lowe 2018; MacKenzie 2006).
However, there is a problem in the observability of evolved local knowledge about determining minimum and maximum prices. For non-arbitrary goodwill impairment testing, auditors must be able to observe this local knowledge in the specific social context (Chandler and Vargo 2011) and for the specific kind of assets or liabilities. Decision-makers of a company probably know what techniques they apply when they determine maximum and minimum prices for buying or selling several kinds of assets and whole business units. However, they are not interested in communicating them because this would weaken their negotiating position for actual transactions. Accordingly, auditors from outside can hardly observe the evolved local knowledge about determining minimum and maximum prices in sufficient detail. This opens opportunities for applying valuation techniques for goodwill accounting purposes that differ from evolved local knowledge about decision-making of the social context.
In summary, these information asymmetries lead to the result that non-arbitrary goodwill impairment testing is not feasible beyond the neoclassical model: In the real world, goodwill measurement that non-arbitrarily satisfies the central purpose of accounting from an asset-liability point of view, i.e. determining an economic value of income, is not possible. Hence, there is ample scope for reporting a biased goodwill. An alternative approach shall be developed.
4 Feasibility of Non-arbitrary Amortization
After having rejected the impairment-only approach, this section investigates whether an amortization approach is a better alternative and whether it should allow individual, case-specific amortization periods or require a uniform amortization period. In contrast to the impairment-only approach, we can assign an amortization approach of goodwill measurement to a revenue-expense view on accounting that sees the determination of shareholders’ periodical income as the central purpose of a balance sheet (Braun 2019; Ding, Richard, and Stolowy 2008; Garcia, Katsuo, and Mourik 2018; Hatfield 1918; Richard 2017; Saito and Fukui 2016). A revenue-expense view on goodwill measurement means assigning extra-payments made to perform business combinations to future revenues and, thus, determining net income in a way that considers those extra-payments as expenditures to be expenses through a reasonable time span (IASB 2020). This section argues that it is possible to assign these extra-payments to future revenues adequately as long as the amortization period is uniform. Furthermore, it argues that this does not imply a reduction of accounting information compared to an impairment-only approach or to an amortization approach with case-specific amortization periods.
A neoclassical understanding of income cannot uphold amortization: From a neoclassical point of view, a market participant’s income in a period is the amount that they could consume in the period without a decrease in the present value of their assets (Hicks 1946; Hitz 2007). Moreover, an amortization approach would contradict the neoclassical understanding of income because the neoclassical value of goodwill does not necessarily decrease over time. As goodwill is not consumed over time, there is no useful life as time horizon to assign the extra-payment to future revenues. Furthermore, when taking planning horizons instead of useful lives, i.e. planning horizons that market participants considered before agreeing to a business combination, the problem arises that neoclassical economics assumes all market participants to be perfectly rational. This assumption implies that market participants have an unlimited planning horizon. Assigning an extra-payment for goodwill to an unlimited number of periods means that the mathematical limit of the annual amount of amortization would be zero. However, as already discussed in section 3, the present paper rejects a neoclassical economic framework as basis for goodwill measurement because of its counterfactual assumptions. Thus, the neoclassical economic framework can neither help to confirm nor can it help to reject an amortization approach for the real world.
In reality, when deciding business combinations, management boards assumedly have a limited planning horizon when estimating future revenues and future cash flows after the business combination. In examples from corporate finance and managerial accounting textbooks, there are limited planning horizons; for instance, Ross, Westerfield, and Jaffe (2002, 852) assume a 5-year planning horizon within an illustrative example of calculating the present value of a merger. Rappaport (1986, 110–121) assumes a 10-year planning horizon within an illustrative example about a telecommunications business unit; he further assumes a 5-year planning horizon within an illustrative example about an industrial systems business unit and within an illustrative example about a home phone business unit. This does not mean that managers completely ignore revenues and cash flows in the remote future before deciding about agreeing to a business combination. However, we can assume that revenues and cash flows in the near future are more in focus when they decide on agreeing to some transaction.
In principle, standard setters could require management to disclose their planning horizon when reporting on every business combination (planning horizons are not yet part of the disclosure list of IFRS 3, Appendix B64-B67) and require amortization of goodwill over this time. However, this would incentivize managers to publish plans that differ from their internal plans. As the following example 5 illustrates, an amortization approach that requires amortizing goodwill during the planning horizon at the time of the business combination without specification could result in almost arbitrary amounts of amortization based on claimed planning horizons:
Example 5:
(valid under an amortization regime that allows individual planning horizons as amortization periods): The management board of company X decides whether to acquire an independent company S as a new subsidiary. To calculate the maximum price they are willing to pay, the board carefully establishes forecasts about revenues and (cash) expenses for different scenarios in the near future and derive expected net payments for the first five years. For the remote future, they merely assume a constant expected net payment each year as perpetual annuity (Table 7).
In order not to weaken their negotiation position, they do not disclose their forecasts. At the end of the negotiation process, they acquire company S for 50,000 and recognize a goodwill of 10,000.
After the business combination, the management board wishes to convince all their stakeholders that acquiring company S was an advantageous decision. As a long amortization period increases the reported income in each scenario, they create further, very detailed forecasts for company S for different scenarios over 40 years. As their internal forecasts were not published, they claim that the decision about the business combination was based on the detailed 40-year planning horizon and justify an amortization period of 40 years on this basis (table 8).
As they are about the remote future, nobody in the management board of company X would take the detailed 40-year forecasts seriously for decision-making. However, they all agree that it is advantageous for them to report high income and equity and that long amortization periods and little annual amounts of amortization satisfy this purpose in every scenario.
Expected net payments of example 5.
| Period | 1 | 2 | 3 | 4 | 5 | Each subsequent period |
| Expected net payments | 5,360 | 8,450 | 1,570 | 3,610 | 7,790 | 5,000 |
Annual amounts of amortization for the different planning horizons of example 5.
| Given the claimed planning horizon of 40 years | Compare: actual planning horizon of 5 years |
|---|---|
| Annual amount of amortization: |
Annual amount of amortization: |
Consequently, allowing individual amortization periods based on planning horizons is not adequately feasible: It still allows earnings management through goodwill measurement. Determining amounts of amortization under an amortization regime may still be less arbitrary than determining expected cash flows and discount rates under an impairment-only regime, since the expenditure which stands behind goodwill is known for sure and financial investors may easily correct for too long amortization time spans (Richard 2017). However, as example 5 shows, there is still considerable scope for arbitrariness. Furthermore, as Henning and Shaw’s empirical study (2003) suggests, managers’ choices of amortization periods can also be opportunistic decisions (Giner and Pardo 2015).
Referring to alternative economic approaches, we can look at shared opinions among managers about what planning horizons are adequate for deciding business combinations. Opinions about how many years of forecast should be carefully considered and where speculation about remote future begins can be interpreted as local knowledge that is shared within social contexts.[15] As well as local knowledge about determining maximum and minimum prices, we can understand shared opinions about how to choose planning horizons as a result of an ongoing evolutionary process within a social context (Campbell 1960, 1965; Knudsen 2002, 2004). However, the problem illustrated in example 5 remains also when we consider this view because such socially shared opinions are not obvious: An amortization approach that requires amortizing goodwill over an individual planning horizon without specification could still result in almost arbitrary amounts of amortization based on claimed planning horizons. In summary, the present paper rejects an amortization approach that allows individual amortization periods based on private and subjective planning horizons.
Alternatively, accounting standards may consider an amortization approach with a uniform amortization period that is fixed by the standard setters. If accounting standards generally required an amortization period of, for example, five years for goodwill, there would be no scope for arbitrariness after initial recognition. For subsequent goodwill measurement, the amounts of amortization and the annual decrease in the carrying amount of goodwill would be fixed. From the present paper’s point of view, an amortization approach with uniform amortization periods would still fit to a revenue-expense view on accounting because it matches extra-payments for a business combination to future revenues. As uniform amortization period, standard setters could take a simple number like, e.g. five or 10 years as in the textbooks about corporate finance and managerial accounting cited above, or let preparers choose among a range between five and 10 years. Standard setters should take a plausible planning horizon in a business combination that is at least not far from shared opinions about what planning horizons are adequate before decision-making about business combinations. For example, a 40-year amortization period as was permitted in the U.S. before the FASB introduced the impairment-only approach in 2001 appears to be too long to make managers responsible for their decisions (European Law Institute 2023). An immediate write-off may be too short. Germany, for example, allows an amortization period of 10 years for goodwill in its national commercial code, which applies to such financial statements that do not have to be prepared in accordance with IFRS.[16] From the present paper’s point of view, this is a simple number and at least not implausible as planning horizons for business combinations.
An amortization approach with uniform amortization periods would be transparent. This is a relevant difference to the impairment-only approach and to an amortization approach with individual amortization periods: Both suggest disclosing extra-information where there is, in fact, ample scope for aggressive accounting and where there are strong incentives to utilize this scope.
An amortization approach with uniform amortization periods does not forbid to disclose expected future cash flows, estimated opportunity cost rates, or subjective values of the whole business and its net assets: Every management board could publish this subjective information. Furthermore, they could publish expert opinions on whether their expectations, estimations, and subjective valuations were generated in a professional manner. However, when accounting standards require amortization with a uniform amortization period, reporting companies cannot mingle these opinions with accounting information as is the case with the impairment-only approach.
Furthermore, an amortization approach with uniform amortization periods does not forbid users to assign extra-payments for goodwill to a different number of years. For example, when accounting standards require a uniform amortization period of 10 years and some stakeholders want to know the income that would result from assigning the extra-payment to twelve years instead, they can simply divide the disclosed amount of amortization by 1.2 and derive the income under their own assumptions. When management boards would like to communicate the planning horizons they took, they are free to do this also under an amortization approach with uniform amortization periods. Stakeholders are then free to believe whether these were their actual planning horizons or not. However, reporting companies could not mingle this with accounting information that is incorporated in goodwill measurement.
The question remains whether the theoretical framework of this paper is compatible with an amortization approach that allows a limited range of possible amortization periods (for instance, 5–10 years) while leaving companies (financial reporting preparers and their auditors and board members) to fix the exact level. From my perspective, it is more compatible than an amortization approach with completely free choice, but less compatible than an amortization approach with uniform amortization periods: Depending on the actual range, it allows more scope for earnings management. Of course, standard setters could allow a limited range, but not with the reason of better associating goodwill extra-payments with individual planning horizons: As argued above, such purposes are not feasible.
5 Conclusion and Discussion
There is a critical difference between an impairment-only approach and an amortization approach with uniform amortization periods: The first allows for aggressive accounting while the scope for earnings management is very limited in the second.
This paper investigates whether we can theoretically substantiate the existing concerns regarding the arbitrariness of goodwill impairment testing and whether an amortization approach could be an adequate alternative. This is motivated, on the one hand, by empirical studies that raised these concerns and, on the other hand, by the lack in their theoretical substantiation. This paper shows that non-arbitrary goodwill impairment tests are not possible beyond the neoclassical model. Furthermore, it shows that an amortization approach would be a less arbitrary way of goodwill measurement and that it is possible to assign extra-payments made for acquiring goodwill to future revenues adequately as long as the amortization period is uniform.
First, the paper assigns the impairment-only approach to a neoclassical economic framework and reconstructs goodwill measurement in the neoclassical model where goodwill impairment testing is unproblematic and where the results can be interpreted as common indifference prices for all market participants. Second, the paper just drops two of the most unrealistic assumptions of the neoclassical economic framework, i.e. the assumption of a uniform, risk-free interest rate for lending and borrowing and the assumption of homogeneous expectations. It shows that goodwill impairment testing outside the model is arbitrary and illustrates with simple examples that dropping the assumptions can lead to very diverse results. This opens opportunities for aggressive accounting through goodwill measurement. Thus, the paper rejects the impairment-only approach.
Subsequently, the paper investigates whether an amortization approach can reduce arbitrariness. First, it points out that a neoclassical understanding of income does not support amortization. However, beyond the model, a neoclassical economic framework can neither help to confirm nor to reject an amortization approach. Second, the paper discusses whether it is adequate to spread extra-payments for goodwill over the individual planning horizon that managers considered before deciding on the business combination. The central problem is that there are incentives to claim planning horizons that are far longer than the planning horizons that managers would seriously consider for decision-making. Thus, the paper also rejects an amortization approach that takes case-specific planning horizons as amortization periods. Third, the paper discusses whether an amortization approach with a uniform amortization period is an adequate alternative. It comes to the result that it is because it satisfies the idea of assigning extra-payments for goodwill to future revenues in a transparent manner and it is hard to manipulate. Furthermore, it does not forbid reporting companies to publish additional information about their subjective valuations and forecasts outside their balance sheet and their income statement. It also does not forbid stakeholders to assign extra-payments for goodwill differently in accordance with their own assumptions. Hence, an amortization approach with a fixed amortization period does not mean a reduction of accounting information compared to an impairment-only approach and to an amortization approach with case-specific amortization periods.
Beyond goodwill measurement as such, the present paper contributes to critical discussions of fair value accounting (Biondi 2011a; Biondi 2017; Braun 2019; Fukui and Saito 2022; Haslam et al. 2016; Haslam 2017; Laux and Leuz 2010; Richard 2017; Yuan and Liu 2011): The impairment-only approach is just one expression of current value accounting as a general phenomenon (Martins, Sá, and Taborda 2023). For example, IAS 40 allows measuring certain kinds of investment properties at fair value instead of historical costs. In such cases, there is also an impairment-only approach, and a periodical asset depreciation does not take place. However, regarding investment properties, determining a price where every market participant is indifferent is only possible within the neoclassical model. Without uniform, risk-free interest rates for lending and borrowing money for every market participant and without homogeneous expectations, impairment testing for investment properties becomes arbitrary, too. In summary, the problems discussed in this paper are relevant not only for goodwill measurement, but also for other asset categories submitted to the impairment-only measurement approach. Further research is required to investigate these categories.
Acknowledgements
I thank Yuri Biondi and three anonymous reviewers for their very helpful feedback and their detailed suggestions, which greatly improved the paper.
References
Amel-Zadeh, A., M. Glaum, and T. Sellhorn. 2023. “Empirical Goodwill Research: Insights, Issues, and Implications for Standard Setting and Future Research.” European Accounting Review 32 (2): 415–46. https://doi.org/10.1080/09638180.2021.1983854.Search in Google Scholar
Arrow, K. J. 1964. “The Role of Securities in the Optimal Allocation of Risk-Bearing.” The Review of Economic Studies 31 (2): 91–6. https://doi.org/10.2307/2296188.Search in Google Scholar
Arrow, K. J., and G. Debreu. 1954. “Existence of an Equilibrium for a Competitive Economy.” Econometrica: Journal of the Econometric Society 22 (3): 265–90, https://doi.org/10.2307/1907353.Search in Google Scholar
Baker, R., Y. Biondi, and Q. Zhang. 2009. Should Merger Accounting Be Reconsidered? A Discussion Based on the Chinese Approach to Accounting for Business Combinations. Università degli Studi di Brescia, Working Paper 91.10.2139/ssrn.1303636Search in Google Scholar
Biondi, Y., and Q. Zhang. 2007. “Accounting for the Chinese Context: A Comparative Analysis of International and Chinese Accounting Standards Focusing on Business Combinations.” Socio-Economic Review 5 (4): 695–724. https://doi.org/10.1093/ser/mwm015.Search in Google Scholar
Biondi, Y. 2011a. “The Pure Logic of Accounting: A Critique of the Fair Value Revolution.” Accounting, Economics, and Law 1 (1): 1–46. https://doi.org/10.2202/2152-2820.1018.Search in Google Scholar
Biondi, Y. 2011b. “Disagreement-Based Trading and Speculation: Implications for Financial Regulation and Economic Theory.” Accounting, Economics, and Law 1 (1): 1–6, https://doi.org/10.2202/2152-2820.1017.Search in Google Scholar
Biondi, Y., J. Glover, K. Jamal, J. A. Ohlson, S. H. Penman, S. Sunder, and E. Tsujiyama. 2012. “Some Conceptual Tensions in Financial Reporting.” Accounting Horizons 26 (1): 125–33. https://doi.org/10.2308/acch-50087.Search in Google Scholar
Biondi, Y. 2017. “Accounting for Europe’s Economy and Society: Considerations for Financial Stability, Economic Development and the Public Good.” Accounting, Economics, and Law: A Convivium 7 (2): 65–77. https://doi.org/10.1515/ael-2017-0018.Search in Google Scholar
Black, E. L., and M. L. Zyla. 2018. Accounting for Goodwill and Other Intangible Assets. Hoboken, New Jersey: Bloomberg Tax.10.1002/9781119380337Search in Google Scholar
Boulding, K. E. 1935. “The Theory of a Single Investment.” The Quarterly Journal of Economics 49 (3): 475–94. https://doi.org/10.2307/1883864.Search in Google Scholar
Boyd, R., and P. J. Richerson. 1985. Culture and the Evolutionary Process. Chicago: The University of Chicago Press.Search in Google Scholar
Braun, E. 2019. “The Ecological Rationality of Historical Costs and Conservatism.” Accounting, Economics, and Law: A Convivium 9 (1): 20150013. https://doi.org/10.1515/ael-2015-0013.Search in Google Scholar
Campbell, D. T. 1960. “Blind Variation and Selective Retentions in Creative Thought as in Other Knowledge Processes.” Psychological Review 67 (6): 380–400. https://doi.org/10.1037/h0040373.Search in Google Scholar
Campbell, D. T. 1965. “Variation and Selective Retention in Socio-Cultural Evolution.” In Social Change in Developing Areas: A Re-interpretation of Evolutionary Theory, edited by H. R. Barringer, G. I. Blankstein, and R. W. Mack, 19–49. Cambridge: Schenkman Pub. Co.Search in Google Scholar
Carsberg, B. V. 1966. “The Contribution of P. D. Leake to the Theory of Goodwill Valuation.” Journal of Accounting Research 4 (1): 1–15. https://doi.org/10.2307/2490137.Search in Google Scholar
Caruso, G. D., E. R. Ferrari, and V. Pisano. 2016. “Earnings Management and Goodwill Impairment. An Empirical Analysis in the Italian M & A Context.” Journal of Intellectual Capital 17 (1): 120–47. https://doi.org/10.1108/jic-09-2015-0081.Search in Google Scholar
CFA Institute. 2021. Goodwill: Investor Perspectives. New York: CFA Institute.Search in Google Scholar
Chalmers, K. G., J. M. Godfrey, and J. C. Webster. 2011. “Does a Goodwill Impairment Regime Better Reflect the Underlying Economic Attributes of Goodwill?” Accounting and Finance 51 (3): 634–60. https://doi.org/10.1111/j.1467-629x.2010.00364.x.Search in Google Scholar
Chandler, J. D., and St. L. Vargo. 2011. “Contextualization and Value-In-Context: How Context Frames Exchange.” Marketing Theory 11 (1): 35–49. https://doi.org/10.1177/1470593110393713.Search in Google Scholar
Clarke, T. 2013. “Deconstructing the Mythology of Shareholder Value: A Comment on Lynn Stout’s “The Shareholder Value Myth”.” Accounting, Economics, and Law: A Convivium 3 (1): 15–42, https://doi.org/10.1515/ael-2013-0006.Search in Google Scholar
Coase, R. H., J. B. Buchanan, and G. F. Thirlby. 1938. Business Organization and the Accountant. New York: Weidenfeld and Nicolson.Search in Google Scholar
Debreu, G. 1959. Theory of Value: An Axiomatic Analysis of Economic Equilibrium. New Haven: Yale University Press.Search in Google Scholar
Dean, J. 1951. Capital Budgeting: Top-Management Policy on Plant, Equipment, and Product Development. New York: Columbia University Press.10.7312/dean90552Search in Google Scholar
Dicksee, L. R., and F. Tillyard. 1920. Goodwill and its Treatment in Accounts, 4th ed. London: Gee & Company.Search in Google Scholar
Ding, Y., J. Richard, and H. Stolowy. 2008. “Towards and Understanding of the Phases of Goodwill Accounting in Four Western Capitalist Countries: From Stakeholder Model to Shareholder Model.” Accounting, Organizations and Society 33 (7): 718–55. https://doi.org/10.1016/j.aos.2007.07.002.Search in Google Scholar
Dopfer, K., and J. Potts. 2014. “Introduction.” In The New Evolutionary Economics, edited by K. Dopfer, and J. Potts. Cheltenham: Edward Elgar Publishing.10.4337/9781784710477Search in Google Scholar
Duff & Phelps Corporation. 2018. 2018 European Goodwill Impairment Study. New York: Duff & Phelps Corporation.Search in Google Scholar
Duff & Phelps Corporation. 2021. 2021 European Goodwill Impairment Study. New York: Duff & Phelps Corporation.Search in Google Scholar
Durham, W. H. 1991. Coevolution. Genes, Culture and Human Diversity. Stanford: Stanford University Press.10.1515/9781503621534Search in Google Scholar
European Financial Reporting Advisory Group. 2016. What Do We Really Know about Goodwill and Impairment? A Quantitative Study. Brussels: The European Financial Reporting Advisory Group.Search in Google Scholar
European Law Institute. 2023. ELI Guidance on Company Capital and Financial Accounting for Corporate Sustainability. Vienna: European Law Institute.Search in Google Scholar
Financial Accounting Standards Board. 2001. Statement of Financial Accounting Standards No. 142. Goodwill and Other Intangible Assets. Norwalk: Financial Accounting Standards Board.Search in Google Scholar
Fisher, I. 1930. The Theory of Interest. New York: Macmillan.Search in Google Scholar
Follert, F. 2023. “Squeeze-Out and Business Valuation in Germany – A Law and Economics Analysis of Judicial Decision-Making.” Accounting, Economics, and Law: A Convivium 13 (3): 343–72. https://doi.org/10.1515/ael-2020-0118.Search in Google Scholar
Fukui, Y., and S. Saito. 2022. “Exploring the Relevance and Reliability of Fair Value Accounting.” Accounting, Economics, and Law: A Convivium 12 (2): 181–90. https://doi.org/10.1515/ael-2020-0086.Search in Google Scholar
Garcia, C., Y. Katsuo, and C. van Mourik. 2018. “Goodwill Accounting Standards in the United Kingdom, the United States, France, and Japan.” Accounting History 23 (3): 314–37. https://doi.org/10.1177/1032373217748672.Search in Google Scholar
Giner, B., and F. Pardo. 2015. “How Ethical Are Managers’ Goodwill Impairment Decisions in Spanish-Listed Firms?” Journal of Business Ethics 132: 21–40. https://doi.org/10.1007/s10551-014-2303-8.Search in Google Scholar
Glaum, M., W. R. Landsman, and S. Wyrwa. 2018. “Goodwill Impairment: The Effects of Public Enforcement and Monitoring by Institutional Investors.” The Accounting Review 93 (6): 149–80. https://doi.org/10.2308/accr-52006.Search in Google Scholar
Graham, B., and D. Dodd. 1934. Security Analysis. New York: McGraw Hill.Search in Google Scholar
Grinyer, J. R., A. Russel, and M. Walker. 1990. “The Rationale for Accounting for Goodwill.” British Accounting Review 22 (3): 223–35.10.1016/0890-8389(90)90004-2Search in Google Scholar
Gordon, M. J., and E. Shapiro. 1956. “Capital Equipment Analysis: The Required Rate of Profit.” Management Science 3 (1): 102–10. https://doi.org/10.1287/mnsc.3.1.102.Search in Google Scholar
Gynther, R. S. 1969. “Some “Conceptualizing” on Goodwill.” The Accounting Review 44 (2): 247–55.Search in Google Scholar
Haslam, C., N. Tsitsianis, R. Hoinaru, T. Andersson, and G. Katechos. 2016. “Stress Testing International Financial Reporting Standards (IFRS): Accounting for Stability and the Public Good in a Financialized World.” Accounting, Economics, and Law: A Convivium 6 (2): 93–118. https://doi.org/10.1515/ael-2015-0006.Search in Google Scholar
Haslam, C. 2017. “International Financial Reporting Standards (IFRS): Stress Testing in Financialized Reporting Entities.” Accounting, Economics, and Law: A Convivium 7 (2): 108. https://doi.org/10.1515/ael-2017-0016.Search in Google Scholar
Hatfield, H. R. 1918. Modern Accounting: Its Principles and Some of Its Problems, 2nd ed. New York: D. Appleton.Search in Google Scholar
Hayn, C., and P. J. Hughes. 2006. “Leading Indicators of Goodwill Impairment.” Journal of Accounting, Auditing & Finance 21 (3): 223–65. https://doi.org/10.1177/0148558x0602100303.Search in Google Scholar
Henning, S., and W. Shaw. 2003. “Is the Selection of the Amortization Period for Goodwill a Strategic Choice?” Review of Quantitative Finance and Accounting 20: 315–33.10.1023/A:1024043316292Search in Google Scholar
Hirshleifer, J. 1958. “On the Theory of Optimal Investment Decision.” Journal of Political Economy 66 (4): 329–52. https://doi.org/10.1086/258057.Search in Google Scholar
Hicks, J. R. 1946. Value and Capital. Oxford: Oxford University Press.Search in Google Scholar
Hitz, J.-M. 2007. “The Decision-Usefulness of Fair Value Accounting – A Theoretical Perspective.” European Accounting Review 16 (2): 323–62. https://doi.org/10.1080/09638180701390974.Search in Google Scholar
Hodgson, G. M. 2002. “Darwinism in Economics: from Analogy to Ontology.” Journal of Evolutionary Economics 12 (3): 259–81. https://doi.org/10.1007/s00191-002-0118-8.Search in Google Scholar
Hodgson, G. M. 2003. “The Mystery of the Routine: the Darwinian Destiny of ‘An Evolutionary Theory of Economic Change’.” Revue Économique 54 (2): 355–84. https://doi.org/10.2307/3503007.Search in Google Scholar
Hodgson, G. M., and T. Knudsen. 2006. “Why We Need a Generalized Darwinism and Why Generalized Darwinism Is Not Enough.” Journal of Economic Behavior and Organization 61 (1): 1–19. https://doi.org/10.1016/j.jebo.2005.01.004.Search in Google Scholar
Hodgson, G. M., and T. Knudsen. 2010. Darwin’s Conjecture: The search for General Principles of Social and Economic Evolution. Chicago: University of Chicago Press.10.7208/chicago/9780226346922.001.0001Search in Google Scholar
IASB International Accounting Standards Board. 2020. Discussion Paper DP/2020/1. Business Combinations – Disclosures, Goodwill and Impairment.Search in Google Scholar
IAS International Accounting Standard 36. Impairment of Assets [IAS 36].Search in Google Scholar
IFRS International Financial Reporting Standard 3. Business Combinations [IFRS 3].Search in Google Scholar
IVSC International Valuation Standards Council. 2022. International Valuation Standards [IVS].Search in Google Scholar
Knudsen, T. 2002. “Economic Selection Theory.” Journal of Evolutionary Economics 12 (4): 443–70. https://doi.org/10.1007/s00191-002-0126-8.Search in Google Scholar
Knudsen, T. 2004. “General Selection Theory and Economic Evolution: The Price Equation and the Replicator/Interactor Distinction.” Journal of Economic Methodology 11 (2): 147–73. https://doi.org/10.1080/13501780410001694109.Search in Google Scholar
Kruschwitz, L., and A. Löffler. 2020. Stochastic Discounted Cash Flow. A Theory of the Valuation of Firms. Berlin: Springer Nature.10.1007/978-3-030-37081-7Search in Google Scholar
Laux, C., and C. Leuz. 2010. “Did Fair-Value Accounting Contribute to the Financial Crisis?” Journal of Economic Perspectives 24 (1): 93–118. https://doi.org/10.1257/jep.24.1.93.Search in Google Scholar
Li, K. K., and R. G. Sloan. 2017. “Has Goodwill Accounting Gone Bad?” Review of Accounting Studies 22 (2): 964–1003. https://doi.org/10.1007/s11142-017-9401-7.Search in Google Scholar
Lintner, J. 1965. “Security Prices, Risk, and Maximal Gains from Diversification.” The Journal of Finance 20 (4): 587–615. https://doi.org/10.1111/j.1540-6261.1965.tb02930.x.Search in Google Scholar
Littleton, A. C. 1935. “Value or Cost.” The Accounting Review 10 (3): 269–73.Search in Google Scholar
Littleton, A. C. 2011. “Economists and Accountants.” Accounting, Economics, and Law: A Convivium 1 (2): Article 2. https://doi.org/10.2202/2152-2820.1038.Search in Google Scholar
Lowe, C. 2018. “The Significance of Self-Fulfilling Science.” Philosophy of the Social Sciences 48 (4): 343–63. https://doi.org/10.1177/0048393118767087.Search in Google Scholar
MacKenzie, D. 2006. An Engine, Not a Camera: How Financial Models Shape Markets. Cambridge: The MIT Press.10.7551/mitpress/9780262134606.001.0001Search in Google Scholar
Markowitz, H. M. 1952. “Portfolio Selection.” The Journal of Finance 7 (1): 77–91. https://doi.org/10.1111/j.1540-6261.1952.tb01525.x.Search in Google Scholar
Martins, A., C. Sá, and D. Taborda. 2023. “Fair Value and Corporate Taxation: Out through the Door, Back through the Window?” Accounting, Economics, and Law: A Convivium 13 (4): 479–99. https://doi.org/10.1515/ael-2021-0046.Search in Google Scholar
Matschke, M. J., G. Brösel, and X. Matschke. 2010. “Fundamentals of Functional Business Valuation.” Journal of Business Valuation and Economic Loss Analysis 5 (1): 1–39. https://doi.org/10.2202/1932-9156.1097.Search in Google Scholar
Matschke, M. J., and G. Brösel. 2021. Business Valuation. Functions, Methods, Principles. Tübingen: UTB.10.36198/9783838555201Search in Google Scholar
May, G. O. 1957. “Business Combinations: An Alternative View.” Journal of Accountancy 103 (4): 33–6.10.1080/08832323.1957.10116002Search in Google Scholar
McKinnon, S. M. 1983. Consolidated Accounts – The Seventh EEC Directive. Basel: Arthur Young McClelland Moores and Co.Search in Google Scholar
Mercer, Z. Ch., and T. W. Harms. 2021. Business Valuation. An Integrated Theory, 3rd ed. Hoboken: John Wiley & Sons.10.1002/9781119583134Search in Google Scholar
Montgomery, R. H. 1912. Auditing: Theory and Practice. New York: Ronald Press Company.Search in Google Scholar
Olbrich, M., T. Quill, and D. J. Rapp. 2015. “Business Valuation Inspired by the Austrian School.” Journal of Business Valuation and Economic Loss Analysis 10 (1): 1–43. https://doi.org/10.1515/jbvela-2014-0001.Search in Google Scholar
Preinreich, G. A. 1935. The Nature of Dividends. New York: Columbia University.Search in Google Scholar
Quill, T. 2020. “Valuation Techniques under Construction – about the Dissemination of the CAPM in German Judicial Valuation.” Schmalenbach Business Review 72 (2): 299–341. https://doi.org/10.1007/s41464-020-00091-1.Search in Google Scholar
Ramanna, K., and R. L. Watts. 2012. “Evidence on the Use of Unverifiable Estimates in Required Goodwill Impairment.” Review of Accounting Studies 17 (4): 749–80. https://doi.org/10.1007/s11142-012-9188-5.Search in Google Scholar
Rappaport, A. 1986. Creating Shareholder Value. New York: MacMillan.Search in Google Scholar
Richard, J. 2017. “The Need to Reform the Dangerous IFRS System of Accounting.” Accounting, Economics, and Law: A Convivium 7 (2): 93–103. https://doi.org/10.1515/ael-2017-0017.Search in Google Scholar
Roach, G. P. 1998. “Control Premiums and Strategic Mergers.” Business Valuation Review 17 (2): 42–9. https://doi.org/10.5791/0882-2875-17.2.42.Search in Google Scholar
Robé, Jean-Philippe. 2012. “Being Done with Milton Friedman.” Accounting, Economics, and Law: A Convivium 2 (2): 1–31, https://doi.org/10.1515/2152-2820.1047.Search in Google Scholar
Robé, Jean-Philippe. 2020. “The Shareholder Value Mess (And How to Clean it Up).” Accounting, Economics, and Law: A Convivium 10 (3): 20190039. https://doi.org/10.1515/ael-2019-0039.Search in Google Scholar
Ross, S., R. Westerfield, and J. Jaffe. 2002. Corporate Finance. New York: McGraw-Hill.Search in Google Scholar
Ross, S. 2005. Neoclassical Finance. Princeton and Oxford: Princeton University Press.Search in Google Scholar
Saito, S., and Y. Fukui. 2016. “Whither the Concept of Income?” Accounting, Economics, and Law: A Convivium 9 (1): 20160013, https://doi.org/10.1515/ael-2016-0013.Search in Google Scholar
Schmiel, U., and A. Weitz. 2019. “Is a One-Book-System Adequate? A Framework for Tax Law Analysis under Genuine Uncertainty.” Accounting, Economics, and Law: A Convivium 9 (2): 20160062. https://doi.org/10.1515/ael-2016-0062.Search in Google Scholar
Schueler, A. 2020. “Valuation with Multiples: A Conceptual Analysis.” Journal of Business Valuation and Economic Loss Analysis 15 (1): 20190020. https://doi.org/10.1515/jbvela-2019-0020.Search in Google Scholar
Schwert, G. W. 1996. “Markup Pricing in Mergers and Acquisitions.” Journal of Financial Economics 41 (2): 153–92. https://doi.org/10.1016/0304-405x(95)00865-c.Search in Google Scholar
Sharpe, W. F. 1964. “Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk.” The Journal of Finance 19 (3): 425–42. https://doi.org/10.1111/j.1540-6261.1964.tb02865.x.Search in Google Scholar
Smith, R. G. 1967. “The ‘Marginal Opinion’ Theory of Stock Price.” Financial Analysts Journal 23 (6): 127–32. https://doi.org/10.2469/faj.v23.n6.127.Search in Google Scholar
Stout, L. 2012. The Shareholder Value Myth. How Putting Shareholders First Harms Investors, Corporation, and the Public. San Francisco: Berrett-Koehler Publishers.Search in Google Scholar
Terrill, W. A. 2011. “Cost Basis: Accounting’s “Samson’s Tresses”.” Accounting, Economics, and Law: A Convivium 1 (1): Article 9. https://doi.org/10.2202/2152-2820.1013.Search in Google Scholar
Williams, J. B. 1938. The Theory of Investment Value. Amsterdam: North Holland Publishing Company.Search in Google Scholar
Witt, U. 2017. “The Evolution of Consumption and its Welfare Effects.” Journal of Evolutionary Economics 27: 273–93. https://doi.org/10.1007/s00191-016-0459-3.Search in Google Scholar
Yuan, M., and H. Liu. 2011. “The Economic Consequences of Fair Value Accounting.” Accounting, Economics, and Law: A Convivium 1 (2): 1–42, https://doi.org/10.2202/2152-2820.1010.Search in Google Scholar
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