Calculating imputed depreciation

Calculating imputed depreciation

Entrepreneurs want to know what existing and additional investments will be required to generate the planned profit (EBIT) in the coming years. The amounts originally paid for the fixed assets are only partially relevant for this because inflation and technological developments often lead to higher replacement values and therefore higher imputed depreciation. If the replacement value of an asset increases by 20% compared to the previous year, the imputed depreciation for this asset must also be increased by 20%. This reduces the (distributable) profit, but also ensures that the money remains in the company to finance replacement investments.

The annual business plan must therefore determine which and how much fixed assets will be required in the planning year in order to achieve the planned profit. For this purpose, it is necessary to estimate by how much the replacement value of an existing and still used asset will increase in the year to plan. The replacement value is divided by the useful life planned by management and results in the imputed depreciation of the asset in the year to plan.

By stipulating that the imputed depreciation is charged to the income statement each year, the owners ensure that the money for replacement or renewal investments remains in the company’s current assets or is used to reduce interest-bearing loans. The funds for maintaining the company’s ability to perform are thus available because less has been distributed to the owners or been given away through lower sales prices. External cash inflow for the further expansion of the company is only necessary to finance growth.

Replacement value and imputed depreciation

Using the example of cost center 100 (sales management) at Ringbook Ltd., the following steps are required to determine the replacement value and the imputed depreciation:

    •  The fixed assets of cost center 100 amounted to EUR 96,000 at the end of 2020.
    • The management of Ringbook Ltd has determined that machines, equipment and software can be used for 8 years until they need to be replaced. This results in a depreciation of 12.5% of the acquisition or replacement value (EUR 12,000, column j) for 2021.
    • The replacement value therefore amounts to EUR 84,000 at the end of 2021.
    • In 2022, an online store was set up for cost center 100. Project costs of 86,602 (column f) were incurred for this. These were capitalized so that the replacement value of the fixed assets in cost center 100 amounted to EUR 182,602 at the end of 2022.
    • In addition, a general inflation rate of 3% (inflation rate, column g) had to be taken into account in 2022. This had an impact on the replacement value of the original investment of EUR 96,000 at the beginning of 2022 (EUR 2,880, column h).
    • In total, 12.5% of the replacement value of 185,482 (column i), i.e. 23,185 (column j), was to be charged as imputed depreciation for 2022.
    • In the years 2023 – 2025, the new investments (column e) are added to the existing assets of the cost center. They must also be taken into account in subsequent years.
    • The effects of the annual inflation rates (column g) increase the replacement value of the existing investments in cost center 100. Depreciation of cost center 100 also increases (column j) and thus also the balance sheet value to be reported in the internal reporting at the end of the year (column k).
Calculating imputed depreciation
Calculating imputed depreciation

Estimating the replacement values of existing investments is often difficult, as quotations have to be obtained from potential suppliers. For this reason, many companies use the index method to calculate the replacement value of an asset. The question is how much an acquisition will increase in the planning year if it is multiplied by the current inflation rate (columns g and h).

Imputed depreciation is a cost type of cost center costs because the operating resources (assets) are assigned to cost centers and are used in these cost centers to produce services. For large assets that are used by several cost centers often a separate cost center is set up. An example is a factory building in which various cost centers are housed.

Imputed Depreciation

Imputed Depreciation

“Imputed depreciation is a cost equivalent for the devaluation of long-term usable operating resources (see Wolfgang Kilger, Flexible Plan Cost Accounting and Contribution Margin Accounting, 9th Improved Edition, Wiesbaden, 1988, p. 398).”
Imputed depreciation amounts are intended to lead to corresponding amounts of money being “reserved” in the financial assets for replacement investments, in order to procure replacement assets if necessary and thus be able to continue to meet the operational purpose. The devaluation equivalents mentioned by W. Kilger are to be calculated on the basis of the replacement values of the investments from the point of view of value retention.

It follows that imputed depreciation should not be calculated on the basis of the historical acquisition value of long-term working assets, but on the amount to be paid at the end of the year for equally efficient assets. From our point of view, a company’s profit potential is only preserved when the equally efficient operating resources can be procured again. As a consequence, there is no distributable profit for the owners/shareholders until the imputed depreciation calculated  from the replacement value has been deducted. Only the residual amount can be distributed with a clear conscience if the company is not to suffer a loss of substance.

In order to determine replacement values and imputed depreciation, it must be clarified annually what changes in the purchase prices are to be expected for the various fixed assets. There are many reasons for imminent purchase price increases or expenses for updates:

    • Inflation in procurement markets
    • New technical or legal regulations to be complied with
    • Changed safety regulations for the operation of the facilities (and buildings)
    • Adaptation of computer programs, program extensions and release changes
    • Switching to another machine supplier because the previous one no longer exists.

It also happens that equipment to be replaced becomes cheaper to purchase because physical plant components are replaced by electronics or metal by plastic.
In the event of expected increases as well as reductions in the purchase prices of fixed and intangible assets, imputed depreciation for the plan year must be recalculated and taken into account in management accounting. Like all other costs they determine the annual internal profit.

Imputed depreciation should not only be calculated for long-term assets such as buildings, facilities, machinery and vehicles. Increasingly, the resources also include rights and potential benefits of a non-physical nature such as ERP- and CRM-systems, rights of use and sales, purchased customer addresses, time-limited licenses of use. If such potential benefits lose their value over time and require new investments to preserve their benefits, the corresponding estimated amounts have to be taken into account in the replacement value, which in turn leads to higher imputed depreciation.
Sustainably successful corporate management requires the inclusion of imputed depreciation and amortization in the income statement. This prevents funds from being distributed to the owners, which will be necessary to maintain the company’s potentials for success and thus its continued existence.

Depreciation of Fixed and Intangible Assets

Depreciation of Fixed and Intangible Assets

Buying a car privately

If private individuals want to buy a new car, they first determine how much they will have to pay for the desired vehicle including all equipment features. This results in the gross purchase price of the vehicle, which is then also shown in the purchase contract. If her used car is traded in, the trade-in price is deducted. She may prefer a leasing contract with monthly payments. When making the decision, the private individual mainly considers the cash outflows at the time of purchase and the ongoing annual expenses. Such an investment calculation only takes cash flows into account.

Why write off?

A company, on the other hand, must present a financial statement with a profit and loss account every year. To determine the annual profit for the period, it must deduct the annual loss in value of the car, i.e. depreciation, from the revenue generated and show it in the income statement and in the balance sheet.

Depreciation is the value-based expression of the annual loss in value of physical and intangible assets. External reporting and the calculation of taxes payable are governed by legal regulations. These regulations are intended to ensure that all taxable companies report according to the same rules and are therefore treated equally by the state. The management approach, on the other hand, focuses on the loss in  value of an asset or right due to its use and the expected remaining useful life of it. These different purposes can lead to different depreciation amounts being included from an operational perspective than those permitted under tax law.

External or internal valuation

In order to treat all their taxable companies equally, many countries issue commercial and tax regulations on the valuation of assets, the depreciation methods to be applied and the useful lives permitted for the calculation. In Germany, for example, these are the depreciation rules (depreciation for wear and tear), cf. the depreciation table of the German Federal Ministry of Finance (Bundesfinanzministerium – AfA-Tabelle für die allgemein verwendbaren Anlagegüter (AfA-Tabelle “AV”)). For internationally operating and reporting companies, the rules of international reporting standards such as IFRS or US GAAP are applied.

For the managers controlling a company or a group these external valuation and depreciation rules are of secondary importance. They want to be able to assess whether the depreciation and amortization charged to the internal financial statements will be sufficient to maintain the company’s performance potential in the future so that it can continue to generate profits in line with the market. Distributions  (dividends) to owners and shareholders should therefore only be decided once it has been ensured by means of imputed depreciation and amortization that funds that will be required to maintain the profit potential will not be distributed.

“Management control plans, controls and measures the implementation of guidelines, strategies and operational objectives, see the management control definition.

From this understanding of management control it can be deduced that management accounting must take  into account imputed depreciation, not financial depreciation. This is because it is about shaping the future of the company and only to a limited extent about external profit reporting.

Depreciation of fixed and intangible assets
Depreciation of fixed and intangible assets

10 Principles for Decision Relevance

Management accounting has decision relevance when it  can quantify objectives in plans, compare the results achieved with the plans, document the differences that arised and offer leverage points for improvement. In addition, it should provide support for the assessment of forecasts.

10 Principles for Decision Relevance

Implementing this uncompromising management orientation in the design of the management accounting system requires application of the following principles:

1 Work with standards:

Management means goal-oriented proceeding. This requires that all objectives be transformed into a measurable format. As far as management accounting is concerned this requirement can be met with a standard costing system.  It can be applied to prices, services, cost and revenues. Standards and the standard cost system are not new. They are often described in literature and installed in practice (see Horngren, et al., 1999, p. 575 ff.).

New is the importance these methods gain in a management-oriented design of a planning and control system. A planned purchase price for a raw material determines for the plan year the expected average purchase price to be paid for raw material or supplies. For the responsible purchaser, this value is the yardstick against which he can measure the achievement of his price objectives. By displaying purchase price variances, procurement can see how well it succeeded in realizing the target prices.

For the users of an item (for example, production), the internal standard purchase price remains unchanged during the whole year. This equally applies for merchandise in the sales organization.

2 Plan and record direct costs:

A manager will rightly insist that his area of responsibility only be charged for services, consumption and revenues that he or his employees can influence directly and thus for which he should be held responsible. That includes withdrawals from inventory (raw material, semi-finished and finished goods), external purchases directly for one’s own cost center (area of responsibility), services from other cost centers (if the consumption can be determined directly by the receiver, i.e., real internal activity charging), as well as costs that can be clearly assigned to an item/product.

3 Distinguish consistently between proportional and fixed costs:

Proportional costs are those costs caused directly by the production of units, as opposed to fixed or structural costs which result from decisions by management concerning capacities or the structure of the organization. Decisions regarding fixed costs are always made by managers. Proportional costs can be clearly compared with the units produced and the sales achieved. Proportional costs are driven by quantity and product structure. Fixed costs are the result of management decisions and are the responsibility of the deciding manager.

4 Plan and record sales deductions according to source:

Bonuses and reimbursements are usually granted retrospectively based on sales achieved in a given period. Whether cash discounts were taken can only be determined after receipt of payment. All sales deduction items should be subtracted monthly from the monthly billings. This has the advantage of not overstating a company’s profits during the year. As the actual amounts of many sales deductions are not yet known at the reporting date, standard rates should be applied and deducted from sales. These standard rates should thus be used in preparing the monthly reports.

5  Always valuate stock receipts and issues with proportional standard costs:

Similar to the valuation of raw material issued to production at the planned purchase price, standard rates (based on proportional costs) should also be applied to the valuation of receipts to and issues from the semi-finished or finished goods warehouse as well as to the valuation of goods in production, WIP. This means that all production activities performed on production orders are always valued at proportional standard cost (proportional planned cost rate of the respective performing cost center). Additions to the semi-finished goods warehouse are valued at the planned proportional product cost, as are withdrawals of finished products for sale.

This principle results from the management orientation. If in a cost center the actual costs deviate from plan, the cost center manager is charged with taking corrective action so that the variances disappear in future reporting periods. He must ensure that these deviations are rectified by means of corrective measures. Recipients of his services, be they a person responsible for production orders or a cost center manager who receives internal services, cannot directly influence these variances. From a management point of view, it is appropriate that variances are always reported at the point of origin and not passed on to the purchasing or consuming units. They are only to be presented in the overall result of the operating unit. In any case, the allocation of variances to subsequent cost centers or to products is inappropriate as there is no direct causal link between the cause of the deviation and the actions of the recipients.

6 Present contribution margins after deducting proportional standard product costs:

The planned and the realized revenues (gross and net) should always be compared to the proportional standard cost of goods sold. Production managers and their cost center managers are responsible for variances on the manufacturing side; sales is responsible for the realized net revenues.

7 Revalue year-end inventories:

The application of the standard system for the calculation of proportional standard costs requires that, in the transition from the old to the new year, all inventories must be valued with the planned proportional unit cost for the new year. If, for example, an item becomes more expensive in the new year due to price increases in purchasing or due to higher proportional cost rates (e.g., higher wages), the inventories available at the end of the year are to be revalued with the new standard rates. This prevents “comparing apples to oranges” in the planned year.

This revaluation at year end is to be implemented without affecting net income. The assessment of net income for the current year is based on the standard rates for the current year, while the assessment for the following year is based on the new rate.

8 Value fixed assets at replacement value and use imputed depreciation:

It is advisable to value fixed assets at replacement value. This gives the responsible managers a more realistic feeling about the investment needed to produce and sell their products. Replacement value is estimated with the question: “How much would have to be paid today if the asset in question were bought and installed newly and what is the planned useful life of this new asset? From these specifications, one can calculate imputed depreciation for each asset and therefore also for each cost center.

Imputed depreciation is a fair guess of the cost of use of the currently invested assets and should be deducted whenpresenting the internal EBIT to management. The total of all replacement values minus the cumulated imputed depreciation roughly shows management the necessary net investment in fixed assets to run the business.

9 Do not allocate fixed costs:

Fixed cost should neither be passed on from one cost center to another nor allocated to manufactured or sold items. The amount of fixed costs is determined by the decisions of the respective cost center manager and his superiors. They are therefore responsible for these amounts.

Since there is no direct “cause-effect-relationship” between fixed cost and units produced and sold, any allocation of fixed cost to other cost centers and from there to product units is not appropriate.

The so-called “as realistic as possible causal relationship” does not actually exist. It can only be constructed with an arbitrary allocation basis. Because of this, neither full manufacturing costs nor cost-prices per unit should be calculated in accounting for management. Fixed costs are passed on as cost blocks in the step-by-step contribution margin accounting.

10 Include in reports only revenue and cost figures that can be directly influenced by a manager:

A manager should only be held responsible for what he can directly influence himself. All plans and reports about revenues and cost should be presented in a performance-related way so that the addressee recognizes the connection immediately. Items that cannot be influenced (e.g., allocations) are not to be shown. Input services from other areas should always be valued at proportional standard rates, as the influence is exerted through the service provider. Additionally, the receiver of the report should be able to derive the time-period in which he can change individual items from the report.

Insofar as external reporting requirements, local tax law, or the determination of transfer prices require the disclosure of full manufacturing costs, these calculations should be performed outside  the management accounting system. External financial statements should only be shown to those managers who bear (co-)responsibility for these so that the different valuation approaches do not create confusion within the company.

Overall, the decision- and responsibility-oriented design of the management accounting system should always be structured in a way that each manager can immediately recognize for his area which items he is directly responsible for and thus has to react to if actual results do not proceed according to plan and requires corrective measures.

While these 10 principles contradict in many ways those used in common accounting practice, they are essential for developing and implementing effective management control systems. Most ERP-systems can be rearranged to reflect this management orientation without requiring a change of software.