The British Accounting Review 54 (2022) 101001 Contents lists available at ScienceDirect The British Accounting Review journal homepage: www.elsevier.com/locate/bar The impacts of inventory in transfer pricing and net income: Differences between traditional accounting and throughput accounting Gustavo da Silva Stefano*, Tiago dos Santos Antunes, Daniel Pacheco Lacerda, Maria Isabel Wolf Motta Morandi, Fabio Sartori Piran* ~o Leopoldo, Brazil Research Group on Modeling for Learning e GMAP | UNISINOS, Universidade do Vale do Rio dos Sinos e UNISINOS, Sa a r t i c l e i n f o a b s t r a c t Article history: Received 21 November 2019 Received in revised form 26 March 2021 Accepted 31 March 2021 This research proposes the Theory of Constraints (TOC) throughput accounting (TA) as an alternative management control mechanism in an international transfer pricing setting. We compare TA with the traditional accounting method and demonstrate that the traditional method underestimate factors as demand variation and inventories, which affects decisions, such as moving production to an offshore plant. A detailed system dynamics model is built to simulate the production process in an offshore supply chain to compare the methods. The study aims to fill a gap in the management accounting studies and contribute to the understanding of international transfer pricing and their management controls, exploring more than just the tax savings, which are usually considered isolated from operational factors for supply chain (SC) offshoring decisions. Furthermore, we conduct a brief literature review, present the model and discuss the results. It has been observed that inventory levels are an important part of accounting, offshored supply chains, and transfer pricing. Traditional cost and accounting methods favour higher inventory levels, and they can overestimate net income results up to 70% e especially in higher demand variation scenarios e when compared to the throughput accounting. © 2021 British Accounting Association. Published by Elsevier Ltd. All rights reserved. Keywords: Transfer pricing Theory of constraints International supply chain Offshoring 1. Introduction Multinational supply chains make use of offshoring for cost-reducing reasons like tax avoidance (Joseph et al., 2017) and cutting operational costs (Drtina & Correa, 2011). Consequently, the transfer of goods within these supply chains has become a topic of interest. Accordingly, multinational enterprises (MNEs) utilize the transfer price to sell goods from one Supply Chain Unit to another in the same company. Thus, transfer prices can be defined as the pricing of intercompany transactions that occurs within its own subsidiaries (Feinschreiber, 2004). Although widely discussed, transfer pricing has become a concern for multinational companies. In a report from Ernst & Young (2016), p. 75% of the companies studied claimed that their major priority about transfer pricing was related to tax risk management, while 72% assumed that transfer pricing has been a core focus of controversy within organisations. This * Corresponding authors. Production and Systems Engineering Graduate Program, Universidade do Vale do Rio dos Sinos, 950, Unisinos Avenue, 93022~o Leopoldo, RS, Brazil. 750, Sa E-mail addresses: [email protected] (G. da Silva Stefano), [email protected] (F.S. Piran). https://doi.org/10.1016/j.bar.2021.101001 0890-8389/© 2021 British Accounting Association. Published by Elsevier Ltd. All rights reserved. G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 controversy might be related to the fact that companies still consider isolated benefits, commonly only tax avoidance or production and operational costs (Joseph et al., 2017), demonstrating a gap in accounting and supply chain management perspectives as stated by Ramos (2004). This gap is concerning, since building a strong foundation of sound accounting techniques is key for supply chain collaboration (Vann, 2016). To Borkowski (2002) transfer prices present challenges related to tax compliance, supply chain management, and the location of manufacturing facilities, i.e. offshoring. More specifically, there is still a gap between international tax objectives and the operational decisions of management control in MNEs, as noted in studies such as the ones by Baldenius et al. (2004), Hyde and Choe (2005), and Narayanan and Smith (2000). Tax optimisation motives and the usage of generally accepted accounting principles (GAAP) e absorption or full costing methods e are often considered unfavourable for the optimisation of operational aspects regarding transfer prices such as sourcing, pricing, and inventory decisions. In those scenarios, the utilisation of variable costing methods can provide better guidance to managers and are seen as a valid option for management control (Eccles & White, 1988; Horngren et al., 2004). Management accounting and control studies, however, have given little attention to transfer pricing in international settings (Cools & Slagmulder, 2009). From this perspective, concerned with the negative impact of inventory reduction demonstrated in GAAP, the Theory of Constraints (TOC) proposes the throughput accounting (TA) as an alternative (Budd, 2010; Hilmola & Li, 2016). In TA, throughput is defined as revenue minus all the variable costs e i.e. manufacturing, general, selling and administrative (Brignall, 1997; Budd, 2010). TA can be similar to variable costing, following the same concepts of it, but differing in that it can recognise labour as a fixed cost (Boyd & Cox, 2002; Budd, 2010). Since transfer pricing occurs in international transactions where longer delivery times are expected, and, consequently, higher inventory levels occur, a comparative study between the GAAP and throughput accounting concerning the impacts of transfer pricing in offshore supply chains is important. However, as pointed out by Budd (2013), there is a lack of TOC literature in accounting and finance. So far, the TOC literature has considered only local or domestic transfer prices (Ronen & Pass, 2008). An analysis considering the international transfer price setting, as proposed in this paper, has not been identified in the TOC literature as well. In a broader sense, with an accounting perspective in a supply chain context, the relationship between these two topics is also explored. More specifically, this work aims to fill the gap in management accounting and control studies proposing throughout accounting as an alternative and demonstrating the importance of inventory considerations in an international transfer pricing (TP) setting. We demonstrate that by conducting a preliminary comparative study of the GAAP and throughput accounting, which could lead to better understanding of the impacts of offshoring operations and international transfer pricing on supply chains, based on the TOC perspective. Therefore, we analyse the importance of inventory levels in a transfer pricing setting and the impacts on the Net Income After Tax using and comparing GAAP and throughput accounting. To do so, a basic transfer pricing example was created, and a sensitivity analysis was conducted through simulation in a system dynamics model. We demonstrate with our analysis that inventories affect the optimal transfer price, that the traditional cost and accounting methods favour higher inventory levels and that it can overestimate net income results e especially in higher demand variation scenarios e when compared to the throughput accounting. The main contribution of the paper is to demonstrate that TA can be used as an alternative to GAAP accounting for management accounting and control, addressing serious disadvantages and concerns presented in absorption costing (GAAP) methods. Thus, we show that it can support supply chain decision-making regarding the offshoring of operations and that inventory levels play an important role in such settings. As, in those scenarios, the suggested usual performance metric is profit and/or return on investment of company divisions (Smolarski et al., 2019), the traditional accounting method can be misleading to managers, as they tend to overestimate profits based on inventory levels. The throughput accounting tries, in this case, to diminish this problem by being more restrictive regarding the gains derived from inventories, as it accounts only variable costs in its value. The remainder of this paper is structured as follows: the next section provides a brief literature review on throughput accounting and transfer pricing. Section 3 covers the research methodology. Section 4 presents the model. Section 5 presents the results and the discussion, and Section 6 concludes the study. 2. Literature review This section aims to provide a basic understanding of the concepts used in our research. We will first present the systematic literature review (SLR) conducted for our study, which is followed by the background literature on throughput accounting and on the relevant transfer pricing problems. The systematic literature review search was conducted in the Scopus and Web of Science (WOS) databases using the defined keywords and search terms shown in Appendix A and delimited by publications from the last ten years. As no relevant important papers were found in 2020, we decided to set the time frame from 2009 to 2019. We also limited our search by the relevant important subjects, documents written in English and considered only articles or proceedings papers. This initial search resulted in 205 documents, and, by excluding the duplicates, 156 documents remained. All of these had their titles and abstracts analysed, and only 28 papers were selected for the final analysis. After the complete reading of these, 3 of them were removed for not being relevant, which resulted in 25 papers for the literature review. Additionally, we also searched the British Accounting Review database and found 13 documents. However, from the analysis of their titles and abstracts, none of these documents were found to be relevant to offshoring scenarios or the international transfer pricing setting. From the documents analysed, two streams of journals were found. One of them was more related to SCM e mixing operations research (OR) and operations management (OM) e and the other was more linked to accounting. The publications 2 G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 seemed to be spread among different journals, as, out of the 25 documents and 19 different journals, only 4 journals had 2 or more publications, as can be seen in Table 1. The journals were also classified in their most related research stream, these being either accounting or SCM and operations (OM/OR). From Table 1, for example, the first two journals were classified as SCM and operations, while the next two were classified as accounting. A total of 9 documents were related to accounting journals, while the remaining 16 were related to supply chain and operations. It is possible to note that a significant part (36%) of the publications come from accounting research, whereas most publications (64%) are related to operations management and operational research. Most of the literature, both in accounting and SCM, consider inventories as just a variable in a complex system and not a key aspect of it, such as seen in Rossing et al. (2017) and Perron et al. (2010). In the SCM literature, inventory in global €la € et al. (2014) demonstrate through a case-study that a company offshored supply chains has received more attention. Seppa division in one country is more profitable than the others due to its domestic production and thus smaller inventory and shipping costs. Similarly, Stentoft et al. (2018) mentioned high inventory levels as a decisive motivation for backshoring e the reverse strategy of offshoring, i.e. moving back to the domestic country. Blackburn (2012), however, demonstrates that inventory-related costs are insensitive to the increased lead-time derived from offshoring when measured as a percentage of unit cost. Although accounting research has not given proper attention to inventories in a global supply chain setting with international transfer pricing, it has received attention in other cases. Pong and Mitchell (2006) found that inventories are a key aspect in profit measurement, and that some companies in the UK could have their reported profitability changed drastically, depending on the method used for inventory valuation. Comparing full cost and variable costing, the authors suggest more studies exploring such comparisons. More recently, the authors found that inventory control improvement became an operational focus of managers, and, consequently, inventory days have been decreasing over time (Pong & Mitchell, 2012). Thus, we show through a simple model that these inventories can have a huge impact on the profits of a global supply chain. We continue by providing a brief literature background on throughput accounting and transfer pricing. 2.1. Throughput accounting The Theory of Constraints (TOC) was defined by its founder as a general approach to managing an organization (Goldratt, 1988). In the TOC, three paradigms are used as its primary guiding principles: logistics, global performance measures and the thinking process (Tulasi & Rao, 2012). The context of global performance measures is where we identify the Throughput Accounting (TA). According to Tulasi and Rao (2012), as the goal of an organization is to make money now and in the future, unlike traditional accounting, the TOC global performance measures propose a set of indicators to focus on achieving the goal. The throughput accounting method originated in the 1990s, and was improved as a managerial decision-making tool by Goldratt (Hilmola & Gupta, 2015; Ronen & Pass, 2008; Sulaiman & Mitchell, 2005). The focus of throughput accounting is how to use the capacity constraint to generate, as much as possible, throughput dollars (Bragg, 2011). The TOC pursues three basic goals: increased throughput, decreased inventory and decreased operating expenses. Compared to the generally accepted accounting principles (GAAP), throughput accounting reflects the same behaviour regarding increases in throughput (contribution margin in GAAP) and decreases in operating expenses (fixed costs in GAAP). Inventory decreases, however, reflect unfavourable figures on GAAP statements due to reductions in assets and operating income (Budd, 2010). Table 2 exemplifies and compares GAAP and the throughput accounting statements. Basically, throughput can be defined as revenue minus all the variable costs e i.e. manufacturing, general, selling and administrative (Brignall, 1997; Budd, 2010). Noreen et al. (1995) stated that, if necessary, in order to simplify the throughput accounting, only direct material should be considered as variable costs. The authors claimed that the assumption is coherent, as most of the labour time, for instance, cannot be considered variable, since wages are not related to units produced or sold, and adjustments or cuts in the workforce cannot be directly related to production or sales levels. In the example demonstrated in Table 2, labour is considered as fixed cost, whereas other than direct material some manufacturing overhead is identified as variable as well. Corbett (1999) claimed that the TA is a more modern method than traditional accounting to assess throughput, direct labour and overheads. Dugdale and Jones (1998), however, stated that TA techniques had already been presented in previous accounting theory and that its contribution lies in the call for change of the accounting mindset. Nevertheless, the main distinctions between TA and GAAP are: throughput in GAAP is the total production of a company, while in TA it is the rate at which the system generates money through sales; in TA fixed costs should not be allocated to product units; direct labour is a variable expense in GAAP, while in TA it is a fixed cost, at least in the short and medium terms; traditionally, inventory is treated as an asset and finished and unfinished goods increase its value, in TA and TOC though they Table 1 SLR results by Journal. Prepared by the authors. Journal Documents European Journal of Operational Research (EJOR) International Journal of Production Economics (IJPE) Management Accounting Research (MAR) Journal of Accounting and Organizational Change (JAOC) Other journals 4 2 2 2 15 3 G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 Table 2 Traditional and throughput accounting comparison. Adapted from Budd (2013). Traditional Income Statement Revenues (15,000 units @ $ 20) Cost of goods sold Beginning finished goods Direct materials used Direct labour (all variable) Variable mfg. overhead Fixed mfg. overhead Total cost of goods mfgd. Ending finished goodsa Total cost of goods sold Gross margin Selling and administrative expenses Variable Fixed $300,000 $0 ($40,000) ($25,000) ($20,000) ($80,000) ($165,000) $41,250 ($123,750) $176,250 ($105,000) ($30,000) ($75,000) Net operating income $71,250 Throughput Income Statement Revenues (15,000 units @ $ 20) Variable costs Beginning finished goods Direct materials Variable mfg. overhead Var. cost of goods mfgd. Ending finished goodsb Sum of var. costs and goods Variable sell. and admin. Total variable costs Throughput Fixed costs Manufacturing Labour Selling and admin. Total fixed costs Net operating income a b $300,000 $0 ($40,000) ($20,000) ($60,000) $15,000 ($45,000) ($30,000) ($75,000) $225,000 ($80,000) ($25,000) ($75,000) ($180,000) $45,000 5000 units @ $ 8.25 (variable and fixed manufacturing costs). 5000 units @ $ 3.00 (only variable manufacturing costs). are regarded as raw-material and not all the processing costs are accounted for work-in-progress or goods (Corbett, 1999; Naor et al., 2013). In this sense, in TA as inventory costs do not carry fixed costs as GAAP does, inventory values are smaller, reducing the benefits of holding inventory, as can be seen in Table 2. With regards to the application of TA with TP, Ronen and Pass (2008) proposed a structured methodology based on the throughput accounting, the global decision-making (GDM). The GDM is composed of three steps: 1) Make a global economic decision based on the CEO perspective; 2) Consider strategic factors; and 3) Change local performance measures. The throughput accounting is used in the first step, and, according to the authors, such a decision should achieve an optimal contribution to the organization’s objective and reflect the expectations of the CEO. The utilisation of TA should allow a company to make optimal choices globally instead of locally. They cited a brief example of a company that had the option of purchasing a service for a project from their own company or from a supplier at a lower price. In such a case, most project managers would prefer the local optimal decision of buying at the lower price, even though it leads to a loss for the organisation. Then, the authors affirmed that the GDM methodology can be helpful in pricing decisions, definition of bid prices, and determination of transfer prices. However, the example given is brief and used in a simple domestic transfer price situation. To the best knowledge of the authors, no work has made use of TA and a complete, detailed assessment in an international TP setting. According to Jones and Dugdale (1998), TOC and the TA provides a coherent, comprehensive and articulated solution to substitute traditional management approaches. Throughput accounting offers a different vision suitable for a manufacturing environment that requires a paradigm change for accounting and accountants, focusing and reinforcing attention (Corbett, 1999; Dugdale & Jones, 1998). Although throughput accounting has received attention in accounting research (Gupta & Boyd, 2008), more recently, it has received less publications (Hilmola & Gupta, 2015), leaving a gap in the research on the theme. 2.2. Transfer pricing for management control Gao and Zhao (2015) defined transfer pricing as the pricing of an intermediate good or service that is transferred between divisions of the same multinational company. Transfer pricing is a complex subject, as many variables impact and are 4 G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 impacted by decisions related to it; to cite a few: centralisation or decentralisation of supply chain decision-making (Wang et al., 2016); uncertainty of demand (Zhang et al., 2016); logistics and transportation costs (Miller & De Maria, 2008; Vidal & Goetschalckx, 2001); the defined transfer pricing methodology (Huh & Park, 2013); inventory holding (Susarla & Karimi, 2012); production capacity (Hasani et al., 2014); the arm’s length principle (Matsui, 2011); among many others. Transfer prices are a key strategic aspect of determining the location of manufacturing or shared service facilities for MNEs (Borkowski, 2002; Kim et al., 2018). MNEs can set their transfer prices strategically to increase results, determining how the € ffler, 2019). In this sense, tax authorities set income of the agents is divided among the countries for income tax purposes (Lo rules on transfer pricing methods to control tax avoidance and ensure compliance (Rossing, 2013). However, the TP concepts related to the tax compliance issue cannot be separated from its managerial and economic aspects (Baldenius et al., 2004; Hyde & Choe, 2005), as they also affect the incentives of their divisions, based on their own performance (Cools et al., 2008). Thus, TP decisions increase in complexity if they need to consider both taxation compliance and management control di€ ffler, 2019). mensions (Lo Although transfer prices are regulated by governments following the arm’s length principle defined by the Organisation for Economic Co-operation and Development (OECD) (Hammami & Frein, 2014a), the transfer price can be optimised to increase net profits through tax avoidance and reduce operational expenses (Joseph et al., 2017), and improve other performance measures. The arm’s length principle provides guidance for the national tax authorities, providing proper taxation among countries, but it is not necessarily applicable to managerial uses of TP. However, in reality, as found by Joseph et al. (2017), companies usually do not calculate their tax savings versus the supply chain costs related to the tax strategy, and most firms still focus on tax compliance issues (Klassen et al., 2017). Still, tax compliance has a great impact on the performance of divisions and their management control systems (Cools et al., 2008; Cools & Slagmulder, 2009). Thus, in the model that considers an international transfer pricing setting with the relevant taxes, we study how management control and tax dimensions co-exist and affect the overall system by comparing both traditional accounting and the TA. Being a complex matter, transfer pricing has generated many complex model variations to optimize supply chain profits. These models vary according to the supply chain models and other variables, and use techniques like linear programming, heuristics (De Matta & Miller, 2015; Goetschalckx et al., 2002) and game-theoretical approaches (Clempner & Poznyak, 2018; Rosenthal, 2008). However, other studies have been conducted outside the profit optimisation problem. Kumar and Sosnoski (2011) researched the SME environment, analysing the impacts of not complying with transfer price regulations, and of proposing a decision framework to select the transfer pricing method; Matsui (2011) studied the impact of arm’s length regulation of consumer welfare in the trading countries, multinational firm profits and total world economic welfare; Joseph et al. (2017) conducted an empirical research to collect evidence on how tax strategies may affect supply chain decision€la € et al. (2014) affirmed that managers are making and strategies. In a case study on global supply chains and TP, Seppa well aware that inventory and logistics costs significantly impact the overall supply chain profitability. However, according to the authors, generally those costs have been neglected or included in other residual costs. 3. Methodology Bertrand and Fransoo (2002) mention two types of quantitative models: axiomatic and empirical. Empirical models focus on fitting the model according to observations and reality, while axiomatic models aim to achieve solutions within a specific model and ascertain that the solutions obtained give insights into the problem structure. Additionally, they also differentiate normative and descriptive research. Normative research is concerned with developing policies, strategies and actions to achieve better results than those found in the current literature; finding an optimal solution to a new problem or comparatively analysing different strategies based on a specific problem. Descriptive research, on the other hand, is concerned with analysis of the model, seeking understanding and explanation of its characteristics. Therefore, we define our research as axiomatic descriptive. Bertrand and Fransoo (2002) affirmed that, in axiomatic descriptive research, the researcher uses a conceptual model e usually taken from the literature e to conduct analyses that provide insights into the behaviour of this model. Therefore, the authors proposed a research methodology that would guide this research, containing a conceptualisation of the problem, creation of the model, the results, analysis of the results, and the insights generated by the model. Thus, the paper begins with the definition of the problem, structured by a literature review already presented in the Introduction and the Literature Review sections. In this section, we present the methodology applied, followed by an explanation on the System Dynamics methodology. Next, the model is constructed using an example from the literature. Then the validation is conducted by comparing the results of the model to the figures presented in the original example. The model construction, model solution and validation are all detailed in the next section. Finally, we implement the proposed TA techniques for the result analysis by conducting a descriptive analysis composed of multiple sensitivity analyses e which are fully described in Section 5. Having defined the methodology used, in the next section, we continue the work by presenting the model construction. Within the international setting of transfer prices, axiomatic research is commonly used in transfer price and accounting studies. Empirical research proves difficult as the required data sensitive for organisations is scarce (Cools & Slagmulder, 2009). Examples of this can be found in Baldenius et al. (2004), Hyde and Cloe (Hyde & Choe, 2005), and Narayanan and Smith (2000). Such research explores idealised models to generate knowledge about transfer prices, management control systems and their impacts on the model and system in an exploratory way. Next, continuing the method explanation, the System Dynamics technique is presented. 5 G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 3.1. System dynamics Created by Jay Forrester in the 1950s (Law, 2014), system dynamics is a set of tools and a simulation approach originally designed to be used in the industrial sector (Mansilha et al., 2019; Pidd, 2003). Pidd (2003) defined two modes of operation in the system dynamics (SD) approach. The basic one provides a way of visualising human systems by focusing on the importance of some particular structural features, such as feedback control. Instead, the second operation mode uses the same structural features as in the basic one to develop a computer-based simulation model of the systems, and uses quantitative data. System dynamics tends to look at systems from a high-level view, and is used to take decisions that are more strategic (Law, 2014; Martins et al., 2020). However, the (SD) modelling can be used for any dynamic system, at any time and on any spatial scale (Sterman, 2000). According to Sterman (2000), SD is concerned with the behaviour of complex systems, and requires more than just technical tools to create mathematical models. As Law (2014) specified, (SD) has three key components; Fig. 1 presents a basic SD model and its components, which are described next: a) Stock: defined as a resource accumulation, and is represented by a rectangle; b) Flow: a stream of a specific resource that enters or leaves the inventory. It is represented by double-line arrows with a valve in the middle; c) Converter: used to represent parts at the boundary of the system, i.e. parts whose values are not determined by the behaviour of the system itself. It is represented by a circle; d) Information link: used to transfer information about an inventory or a variable to a flow. Here it is represented by a curved arrow. However, within the supply chain context, other techniques could be reasonable options too, such as Discrete-EventSimulation (DES), Agent-Based Simulation (ABS) or optimisation models. According to Sweetser (1999), DES is best suited to providing detailed analysis of systems composed of linear processes, and is used when the goal is a statistically valid estimation of system performance. Also, SD is best used when the problem is associated with a continuous process in which feedback loops are frequent in the system and impact its own behaviour (Morecroft & Robinson, 2005; Sweetser, 1999; Tako & Robinson, 2012). However, there is an overlap between these two techniques, and many problems could be modelled with either approach and still present very similar results (Morecroft & Robinson, 2005; Sweetser, 1999). Agent-based modelling simulates autonomous entities that act on behalf of real-world actors, dynamically supporting the decision-making process, as well as taking into consideration knowledge of their own environments (Christos et al., 2016). In other words, the agentbased approach models the complexity arising from individual actions and interactions that occur in the real world (Siebers et al., 2010). In turn, analytical approaches, such as optimisation or mathematical models, provide good results in supply chains that are well-defined, possess few decision variables and restrictive assumptions (Chen & Paulraj, 2004). However, Ge et al. (2015) claim that analytical representations of problems may not represent a realistic perspective in cases within complex dynamic systems. Chan and Chan (2010) suggest simulation instead of analytical models when the behaviour and the dynamics Fig. 1. Basic SD model. Adapted from Law (2014). 6 G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 of the supply chain are the focus. As there is no interest in individual actions and interactions within the proposed system, and, given the exploratory nature of the research, which aims to understand the behaviour of the system through two different accounting methods, the authors decided to use the SD approach. Although SD is presented as a reasonable approach to simulate enterprise systems, the authors found no previous work using this approach to deal with the aforementioned problem. Similarly, throughput accounting has only been applied to domestic transfer price scenarios, and no studies were found dealing with international transfer prices. In the next section, we aim to demonstrate the creation of an SD model. 4. Model presentation This section covers the model construction, explaining its logic and detailing the sectors within it, followed by an explanation of the process used to validate it. 4.1. Model construction The authors found it difficult to find actual empirical data to create the model, mainly because these kinds of data are strictly confidential for companies, as they concern pricing methodologies and tax information. We also acknowledge the TP setting complexity (Cecchini et al., 2013; Smolarski et al., 2019), and thus we chose to take a simpler approach to the problem using a more didactic model. Therefore, we derived data from the basic example provided by Vidal and Goetschalckx (2001). In the example, the authors used a company comprising Unit A and Unit B to demonstrate a simple income statement and the transfer pricing impacts on it. Unit A is located in a country with lower tax rates, and transfers materials to Unit B. They also noted that the transfer price that maximised net profit after tax had an optimal value of around $12 per unit. We present this example in Table 3. In the example given, we included inventory. Logically, inventory levels may be higher in international supply chains when compared with those in domestic supply chains. For that matter, we took the table above and added inventory levels to both subsidiaries (Units) A and B, which is demonstrated in Table 4. Table 4 data also represents the initial data (DT ¼ 1.00) of the model. Table 3 Income statement with transfer prices. Adapted from Vidal and Goetschalckx (2001). SubsidiaryA SubsidiaryB Group Total 400,000 400,000 (140,000) Detail Transfer price @ $11/unit, sales @ $20/unit and20,000 units sold Sales 220.000 Variable costs (140,000) Procurement costs Import Duties (12%) Fixed Costs (20,000) Net Income Before Tax (NIBT) 60,000 Tax rate 34% Tax payable (20,400) Net Income After Tax (NIAT) 39,600 (220,000) (26,400) (120,000) 33,600 50% (16,800) 16,800 Transfer price @ $12/unit, sales @ $20/unit and20,000 units sold Sales 240,000 Variable costs (140,000) Procurement costs Import Duties (12%) Fixed Costs (20,000) Net Income Before Tax (NIBT) 80,000 Tax rate 34% Tax payable (27,200) Net Income After Tax (NIAT) 52,800 400,000 (240,000) (28,800) (120,000) 11,200 50% (5,600) 5,600 Transfer price @ $13/unit, sales @ $20/unit and20,000 units sold Sales 260,000 Variable costs (140,000) Procurement costs Import Duties (12%) Fixed Costs 20,000 Net Income Before Tax (NIBT) 100,000 Tax rate 34% Tax payable (34,000) Net Income After Tax (NIAT) 66,000 400,000 (260,000) (31,200) (120,000) (11,200) 50% (11,200) 7 (26,400) (140,000) 93,600 (37,200) 56,400 400,000 (140,000) (28,800) (140,000) 91,200 (32,800) 58,400 400,000 (140,000) (31,200) (140,000) 88,800 (34,000) 54,800 G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 Table 4 Income statement with inventory levels. Prepared by the authors. Transfer price @ $11/unit.3.000 units of inventory inA and2,000 units of inventory inB. 25,000 units produced in A and 22,000 units bought by B Sales Variable costsa Procurement costs Import Duties (12%) Fixed Costs Total cost of goods mfgd Inventoryb Cost of goods sold NIBT Tax rate Tax payable NIAT a b c d SubsidiaryA SubsidiaryB Group Total 242,000 (175,000) 400,000 400,000 (175,000) (242,000) (29,040) (120,000) (391,040) 35,549d (355,491) 44,509 50% (22,255) 22,255 (20,000) (195,000) 23,400c (171,600) 70,400 34% (23,936) 46,464 Variable cost of 7 $/unit * 25,000 units. (Total cost of goods mfgd./units produced or bought) x units in inventory. (195,000/25,000 units) x 3000 units ¼ 23,400. (391,040/22,000 units) x 2000 units ¼ 35,549. Fig. 2. Production sector of the model. Prepared by the authors. 8 (29,040) (140,000) (586,040) 58,949 (527,091) 114,909 e (46,191) 68,719 G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 For the model construction, we added safety stock levels to both Units A and B so that we could have units stocked in the inventories from the beginning of the simulation. Also, we built our model simulation to run on a monthly time frame. In our model, Unit A supplied Unit B once a month, according to the quantity ordered from Unit A. However, we considered a delay in the flow of the units bought in order to simulate the time to produce and deliver the goods. The demand was directly linked to sales, and was considered known, normally distributed with an average of 20,000 units, a standard deviation of 1000 units and a starting value of 20,000 units. Safety stocks serving as protection were set at 3000 and 2000 units in Unit A and B, respectively. The model was constructed in Stella version 9.0 software from Isee systems. The production sector of the model is presented in Fig. 2. From the production model, we derived the sectors for traditional accounting and throughput accounting. As our model used a monthly time frame, we needed to “store” the net monthly incomes before tax (NIBT), so that, after 12 months, we “paid” the proper taxes. Additionally, we used flows for both taxes and NIBT to keep track of them. This simulated a real company where the taxes were provisioned to a specific account to be paid at the end of the fiscal year. We used flows to determine actual values being accounted and variables to find specific metrics. Fig. 3 presents the traditional accounting sector of the model. The throughput accounting sector uses the same logic as the model above, although the net income after tax (NIAT) uses the taxes paid from the traditional accounting sector, as governments regulate taxes through traditional income statements. All the equations, formulas and starting values of the model are presented in Appendix A. Fig. 4 presents the throughput accounting sector of the model. After presenting the model, we conducted some validations to ensure that the proposed model worked as expected. 4.2. Model validation To validate the model, we used a simple Excel spreadsheet, as demonstrated in Table 4. We ran the model with the initial transfer price of $11/unit e just as proposed by Vidal and Goetschalckx (2001), and then we increased and decreased this value to guarantee that the NIAT figures for both GAAP and throughput accounting were correct. The TP changes were to $2/ unit and $25/unit, respectively. Table 5 presents the throughput accounting values with TP $11/unit. Fig. 3. Traditional accounting sector of the model. Prepared by the authors. 9 G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 Fig. 4. Throughput accounting sector of the model. Prepared by the authors. Table 5 Throughput accounting for model validation. Transfer price @ $ 11/unit. 3,000 units of inventory in A and 2,000 units of inventory in B. Sales Variable costs Procurement costs Import Duties (12%) Variable cost of goods mfgd Inventory Variable costs of goods sold Throughput Fixed Costs Net Operating Income Tax payable NIAT SubsidiaryA SubsidiaryB Group Total 242,000 (175,000) 400,000 400,000 (175,000) (242,000) (29,040) (271,040) 24,640 (246,400) 153,600 (120,000) 33,600 (22,255) 11,345 (175,000) 21,000 (154,000) 88,000 (20,000) 68,000 (23,936) 44,064 (29,040) (446,040) 45,640 (400,400) 241,600 (140,000) 101,600 (46,191) 55,409 Then, to validate the model, we compared the values found on the spreadsheets and the ones found in the model. For validation purposes only, the model was set to run from time 1 to 2, with DT (interval between calculations) as 1. For the validation, we used the following flows: Monthly NIAT A, Monthly NIAT B, Monthly NIAT A TA, and Monthly NIAT B TA (Table 6). It was expected that any differences or errors of any other variables would be reflected in these four. After this, we validated the NIBT inventories and the annual NIAT flow. Since we had planned to run the model in months, we needed to simulate the model for at least 13 months. Since we were stocking NIBT and the simulation took 1 unit of time to increase or decrease the inventories, the total yearly NIAT would be known only at the time of unit 13. This is considered as the time taken by a company to close its financial year. It will know its yearly results in January e considering that the fiscal year runs from January to December. The NIAT and tax paid flows are logically set to work only after every 12 months of simulation. Therefore, it is important to note that the NIBT inventories start again only in the second month. In the 13th month of the 10 G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 Table 6 Expected results and model results. Prepared by the authors. Expected value (Excel) Model results TP ($/unit) NIATA NIATB NIATA TA NIATB TA NIATA NIATB NIATA TA NIATB TA 2.00 11.00 25.00 127,600.00 46,464.00 249,744.00 123,054.55 22,254.55 269,090.91 130,000.00 44,064.00 247,344.00 112,145.45 11,345.45 280,000,00 127,600.00 46,464.00 249,744.00 123,054.55 22,254.55 269,090.91 130,000.00 44,064.00 247,344.00 112,145.45 11,345.45 280,000.00 Table 7 Timing validation example. Prepared by the authors. Month Time Net income A NIBT A NIAT A Net income A TA NIBT A TA NIAT A TA January February March April May June July August September October November December January February March 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 70,400 130,059 82,465 83,134 83,503 85,094 76,497 72,886 79,694 87,934 92,289 93,003 82,046 70,485 73,448 e 70,400 200,459 282,924 366,058 449,562 534,655 611,153 684,039 763,733 851,667 943,957 1,036,960 82,046 152,531 e e e e e e e e e e e e 684,394 e e 68,000 123,000 79,404 80,100 80,484 82,136 73,172 69,376 76,516 85,080 89,580 90,316 78,968 66,840 69,968 e 68,000 191,000 270,404 350,504 430,988 513,124 586,296 655,672 732,188 817,268 906,848 997,164 78,968 145,808 e e e e e e e e e e e e 644,598 e e From the validation, we proceeded to conducting and demonstrating the results, covered in the next section. simulation, the value will be the aggregate value of NIBT of the previous 12 months, in other words, the complete year. To exemplify, Table 7 provides the figures from the simulation from time 1 to 15 with transfer prices returned to $11/unit. The blue fields register the relation of the figures. The same validation was performed for Unit B. 5. Results and discussion To make a full analytical comparison of the company, we added one more sector to the model. Basically, we used two variables to report the aggregate net income after tax in Unit A and Unit B. Fig. 5 demonstrates these sectors. We first made a simulation to see the results of the net income after tax with the inventory costs and compared the GAAP accounting method and that of throughput accounting. To do so, we used the Stella sensitivity analysis functionality. We made a scatter chart comparing the total net income after tax with the transfer price. Fig. 6 shows the comparison between the GAAP on the left and the throughput accounting on the right. 8 sensitivity runs were performed with transfer prices ranging from $11/unit (run 1) to $18/unit (run 8), with incremental increases set at $1/unit for each run. Each point of the figure represents a different run. It is possible to notice that the optimum transfer price changed. As seen in Table 3, the optimal price was around $12/unit while, in our example, the inventories changed the optimal transfer price to approximately $14/unit with both methods. We can also note that the throughput accounting demonstrates smaller net incomes after tax, mainly because GAAP accounting considers inventories positively. The NIAT difference between GAAP and throughput accounting is always constant and does not depend on the transfer price value. Therefore, the throughput accounting always accounts $186,135.08 less net income before tax than GAAP accounting, as long as the inventory values do not change. Thus, the transfer price is the same for both GAAP and TA, but it is impacted and increases as inventory levels increase. We ran another sensitivity analysis. However, this time, we varied the inventory values. We set both safety stock variables to range from 0 (run 1) to 5000 (run 5) units, with incremental increases set at 1250 units in each run. It is important to note that, as we increase safety stock, the overall inventory level of the system also increases, as the model produces more in order to maintain the minimum level of inventory required, i.e. safety stocks. Fig. 7 demonstrates the charts of total net income after tax versus the safety stock variation, with each point representing a different run of the sensitivity analysis. Once again, the GAAP favours the net income after tax as the levels of inventory increase. It is possible to note that the NIAT is much higher with more inventory in GAAP than in TA. However, this time, the difference between GAAP and throughput accounting is not constant. To better observe the behaviour of the throughput NIAT with the inventory levels, we used sensitivity analysis, once again comparing the inventory levels and the NIAT difference between GAAP and TA. Fig. 8 presents the simulation results. We used 10 runs varying safety stocks in A and B, with ranges set from 0 (run 1) to 9000 units (run 10) and incremental increases set at 1000 units for each run. 11 G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 Fig. 5. Aggregative sectors of the model. Prepared by the authors. This time the difference between GAAP and throughput accounting seemed different. In the beginning, growth was observed when the inventory level was low, and then it became linear in run 4 and onwards. This happened mainly due to the variation in demand. When the safety stock was low, both Units kept less inventory. Since inventory levels were lower, all the inventory was consumed by the demand. After run 6, the safety stock levels could be maintained, and no sales were lost. Until run 6, we may have had a capacity constraint, for instance, while, from run 6 and onwards, the constraint became the demand. It is possible to observe then that TA accounts NIAT in a different manner when the demand is not entirely met. Also, the TA more closely follows the increase in inventory than GAAP, as higher inventory increases NIAT considerably less than GAAP does. Next, we demonstrate the pattern of demand and consumption observed with two more simulations. In one, safety stocks were set at 1000 units, while, in the other, these were set at 6000 units. Fig. 9 shows the results. The top graph (a) has the results with inventories set at 1000 units, and the other (b) at 6000 units. As can be seen in the chart above, when inventory levels are lower, sales are lost, and demand is not met entirely. For this reason, the revenue is affected, which, in turn, affects the net income after tax. Thus, as we keep more inventory, the throughput accounting becomes more “punitive” than the GAAP accounting method. Once the inventory levels are kept constant e through safety stock e the difference between GAAP and TA stabilises as well. 12 G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 Fig. 6. Total NIAT vs. TP. Prepared by the authors. 13 Fig. 7. Total NIAT vs. Total Inventory Levels. Prepared by the authors. Complementing the analysis, we conducted the same simulations once again, but, this time, with an increased value for the standard deviation of demand. Instead of 1,000, we set the normal curve standard deviation at 5000 units. The increase in demand variation would create an example that would be a more realistic demand distribution. Fig. 10 shows the results of these simulations. Increasing demand variation leads to increases in the inventory levels e as a security measure e in order to meet the required demand. In part (a) of Fig. 10, it is possible to observe that the optimal transfer price moves from around $14 to approximately $16 for both accounting methods, once again demonstrating the effects of increasing inventory levels in the transfer price. This is the expected result, as the variation of demand results in more inventory to meet demand. The NIAT is also impacted by the increased variation, as can be observed in part (b) the NIAT in TA is much lower than GAAP when the inventory is higher. As can be seen in parts (b) and (c), as the demand variation increases and, consequently, the inventory increases, the differences between the GAAP and TA become more significant in terms of absolute values. This happens due to the increase in inventory levels that are not positively accounted under TA. Lastly, Fig. 11 demonstrates the sales and demand over time when safety stocks are set at a) 1000 units and b) 6000 units. It is possible to notice that the lost sales increase, meaning that the demand is not met more frequently and by greater differences. Even when safety stocks were set at higher levels, the demand could not be met entirely, as may be seen in the second chart of Fig. 11. The increase in lost sales also helps understanding of the differences between TA and GAAP, as seen in chart (c) of Fig. 10. As we prejudice revenue and do not account inventories positively, the differences increase, and their pattern varies. We can note that TA is more “punitive” in this sense. NIAT is impacted negatively in TA if there are lost sales and G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 Fig. 8. NIAT difference between GAAP and TA vs. Inventory. Prepared by the authors. the inventory surplus does not impact NIAT positively as much as it does in GAAP. In order to summarise the results and the findings, we present Frame 1 below. Frame 1 e Summary of the simulation results. Prepared by the authors. Finally, to increase clarity of the findings, we present the results from the last set of simulations in Table 8. Therefore, the values presented in the table show the NIAT with safety inventories ranging from 0 to 9000 units and demand variation set at 5000 units of standard deviation. Column ‘n’ represents the run number of the sensitivity analysis, according to the safety inventory variation. The NIAT is shown for both accounting methods, as well as their incremental variation at each one of the simulation runs in absolute and percentual values. The percentual difference in the NIAT is presented for the sake of comparison. Finally, the surplus inventory represents the amount of inventory accumulated at the end of the period and the lost sales demonstrates the difference between demand and actual sales for the year. It is possible to note that with increased variation, even with safety inventories set at 9000 to both units, the demand cannot be entirely met, even though, as inventories increase the lost sales decrease incrementally. The difference in NIAT between the TA and GAAP, for our example, can be as high as 70%. It increases as the model keeps surplus inventories, which are penalised in TA. It can be pointed out that, although inventory is kept at the end of the year, sales are still lost, mainly due to demand peaks during the period (see Fig. 10 (b)). There is a decrease in the NIAT from run 6 to run 7, mainly because the surplus inventory does not increase the throughput e the throughput increases as lost sales decrease e sufficiently enough to increase the NIAT and compensate the increase in inventories. Then, after run 7, we can see that as the inventories increase and lost sales decrease linearly, the NIAT TA also improves, eventually becoming higher than the value found in run 6. From the results, we understand that inventory levels play a major role in accounting and transfer pricing. Transfer prices present an opportunity for profit maximisation for MNEs (Cecchini et al., 2013; Hammami & Frein, 2014b); but, we state that inventory levels should be fully understood in order to reach TP real optimisation. As much as the overestimation of inventories is an issue, it is necessary to not underestimate them as well. The definition of safety inventories, for instance, should be considered carefully considering consumption patterns, demand variation and lead-times. Estimating inventory levels can be a challenge due to the difficulty of achieving the optimal spot between avoiding lost sales and creating excess inventory. Therefore, even though inventories are usually neglected by other studies (Sepp€ al€ a et al., 2014), as stated by Pong and Mitchell (2006), their valuation can significantly impact organisations’ profitability. With this in mind, in our case, we show that traditional accounting methods tend to overestimate the benefits e up to a 70% difference in NIAT e of inventories that may lead to superficial analyses of increases in the net income after tax. In this sense, similarly, as briefly suggested by Ronen and Pass (2008), we found that TA seems to be a reasonable alternative for management control, as it does not overestimate inventory levels and focuses on the throughput (i.e. more sales). One key point is that practitioners and/or managers make their decisions considering both their taxes and management control objectives, as stated by Joseph et al. (2017) and Cecchini et al. (2013). In other words, would managers make the same decisions regarding offshoring e knowing that it can lead to increased levels of inventory and longer lead-times when 14 G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 Fig. 9. Sales and Demand vs. Time. Prepared by the Authors. compared to onshore e if they knew that their net income after tax could be up to 70% lower than originally estimated? The throughput accounting tries, in this case, to diminish this problem. Therefore, the TA can be used as a metric to support supply chain decision-making regarding offshoring and transfer prices optimisation. 6. Concluding remarks In this research, we aimed to fill a gap in management accounting and control regarding international TP settings (Cools & Slagmulder, 2009). We propose the utilisation of throughput accounting and demonstrate the importance of inventories in those scenarios. Our main contribution lies in the presentation of TA, from a management control perspective, as a valuable alternative to GAAP e addressing, at the same time, some of the operational concerns from traditional accounting methods. Additionally, we also contribute to a recent lack of research in TA (Hilmola & Gupta, 2015), as well as bridging a gap between SCM and accounting literature (Joseph et al., 2017; Ramos, 2004). First, we conducted a literature review regarding transfer pricing and throughput accounting. Then we created a system dynamics model to evaluate the transfer pricing and offshoring scenario, comparing the traditional accounting methods to throughput accounting. The results demonstrated that throughput accounting is stricter about inventory levels, which supposedly increase as supply chains are offshored. From a practical point of view, we demonstrate that throughput accounting can support decision-makers to assess and estimate offshoring benefits for MNEs. We showed that inventories and demand variation play an important role in such scenarios and tend to be underestimated in traditional accounting methods, impacting both the optimal transfer price and the net income after tax. We contribute to such studies as Joseph et al. (2017), demonstrating that, in an international TP setting, managers have to account far more than just tax savings. Additionally, we contribute to the literature by comparing traditional accounting methods of inventories to other alternatives e in our case the TA e as pointed out by Pong and Mitchell 15 G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 Fig. 10. Simulation with increased demand variation. Prepared by the Authors. (2006) and demonstrating the impacts of different methods on profitability. Finally, from the SCM perspective, we propose a € l€ method that does not neglect inventory costs as usually happens, as claimed by Seppa a et al. (2014), instead making it more relevant to the respective setting. In fact, the differences between the TA and GAAP are up to 70% in NIAT, mainly due to different accounting of inventories (which accounts positively only the variable costs of inventory) and its reliance on the throughput. We also acknowledge some limitations of our model. We believe that an improved model considering arm’s length regulation and setting the transfer prices via throughput accounting with comparative analyses would be useful. Other than this, we could also enhance the model to consider decisions for or against offshoring, adding capacity constraints to the production units, and even adding more production units. However, many other variables would have to be added to the 16 G. da Silva Stefano, T.S. Antunes, D.P. Lacerda et al. The British Accounting Review 54 (2022) 101001 Fig. 11. Sales and demand with increased demand variation. Prepared by the Authors. Table 8 Simulation Results. Prepared by the authors. n 1 2 3 4 5 6 7 8 9 10 NIAT TAn - NIAT TAn- NIAT ($) Safety Inventory (units) NIAT TA ($) 1 Absolute % e 1000 2000 3000 4000 5000 6000 7000 8000 9000 464,829.96 547,097.66 631,287.33 704,262.62 749,974.79 751,776.63 648,205.68 703,377.86 760,428.44 817,594.45 e 82,267.70 84,189.67 72,975.29 45,712.17 1801.84 103,570.95 55,172.18 57,050.58 57,166.01 e 15.0% 13.3% 10.4% 6.1% 0.2% 16.0% 7.8% 7.5% 7.0% 677,129.85 856,228.63 1,064,239.49 1,283,978.87 1,517,351.28 1,790,306.42 2,158,414.37 2,362,570.98 2,564,751.25 2,766,785.09 NIATn - NIATn-1 Absolute % e 179,098.78 208,010.86 219,739.38 233,372.41 272,955.14 368,107.95 204,156.61 202,180.27 202,033.84 e 20.9% 19.5% 17.1% 15.4% 15.2% 17.1% 8.6% 7.9% 7.3% NIAT and NIAT TA % difference Surplus Inventory (units) Lost Sales (units) 31% 36% 41% 45% 51% 58% 70% 70% 70% 70% e e e e e 155 2155 4155 6155 8155 26,916 23,774 20,774 17,774 14,774 11,929 10,929 9929 8929 7929 model, thereby drastically increasing model complexity. Consequently, techniques such as exploratory modelling and analysis (EMA) would seem to be a great opportunity for future research, as EMA is useful when information exists, but does not allow specifying a single model that describes the behaviour of the system accurately enough (Kwakkel & Pruyt, 2013). Another interesting factor that could be added to the model would be an evaluation of profit maximisation alongside supply chain performance; the supply chain performance indicator could be calculated through data envelopment analysis (DEA), for instance, and the mixing of both profit and performance measures could create a robust decision-making tool. This research has provided more insights into the transfer pricing setting and the throughput accounting methodology. Additionally, it has provided a preliminary model to simulate the transfer pricing and offshoring context, thereby contributing to the understanding of the defined scope. Appendix A. 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