MANAGEMENT ACCOUNTING Lecture 5: Cost allocation DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Schaper Associate Professor, Ph.D. JOURNAL ENTRIES (…) Direct Accounts •payable (materials material • Direct 84,050labour WIP (Assembly dep.) • Indirect man. costs 84,050 Various accounts (conv. Costs) 62,000 WIP Finishing 62,000 Department Assembly 14,007 Finished Goods Finished goods XYZ,000 DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT 132,043 Department 132,043 XYZ,000 Finishing Cost of Goods Sold Cost of(COGS) goods sold XYZ,000 XYZ,000 Management Accounting Stefan Schaper Associate Professor, Ph.D. PROCESS COSTING: FIVE-STEP APPROACH Step 1 Summaris e the flow of physical units of output. DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Step 2 Step 3 Compute output in terms of equival ent units. Step 4 Compute equival ent unit costs Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. Summaris e total costs to account for Step 5 Assign total costs to units complet ed and to units in ending work-inprogress stock. EQUIVALENT UNITS • Two semi-finished goods are equivalent to one finished goods. • Hence, 10,000 units of 70% finished work equals 7,000 finished units + DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT = Management Accounting Stefan Schaper Associate Professor, Ph.D. STANDARD COSTING • Setting standards for quantities of inputs needed to produce output in companies that use process costing is often relatively straightforward. • Standard costs per input unit may then be assigned to these physical standards to develop standard costs per output unit. DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Schaper Associate Professor, Ph.D. TODAY’S CONTENT During this lecture we will: Single and dual rate Service allocation methods: direct step-down and reciprocal method Stand-alone and incremental cost methods DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. GETTING STARTED To prepare for this lecture, please: • Read chapter 5 • Have a look at exercise 5.14 Alnoor Bhimani; Charles. T. Horngren, Srikant M. Datar and Madhav Rajan. Management and Cost Accounting. Pearson; Seventh edition. DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. LEARNING OBJECTIVES 1. Describe how a costing system can have multiple cost objects 2. Outline four purposes for allocating costs to cost objects 3. Discuss problems faced when collecting costs in indirect cost pools 4. Describe single-rate and dual-rate cost-allocation method 5. Explain changes in risks at budgeted versus actual allocation rates 6. Learn direct, step-down and reciprocal methods of allocating costs 7. See differences in incremental and stand-alone cost-allocation method 8. Outline consequences of the inappropriate use of an allocation base 9.OF Describe why managers may Accounting find cost hierarchy-based reports DEPARTMENT Management Stefan Schaper AARHUS UNIVERSITY MANAGEMENT Associate Professor, Ph.D. useful LEARNING OBJECTIVES 1. Describe how a costing system can have multiple cost objects 2. Outline four purposes for allocating costs to cost objects 3. Discuss problems faced when collecting costs in indirect cost pools 4. Describe single-rate and dual-rate cost-allocation method 5. Explain changes in risks at budgeted versus actual allocation rates 6. Learn direct, step-down and reciprocal methods of allocating costs 7. See differences in incremental and stand-alone cost-allocation method 8. Outline consequences of the inappropriate use of an allocation base 9.OF Describe why managers may Accounting find cost hierarchy-based reports DEPARTMENT Management Stefan Schaper AARHUS UNIVERSITY MANAGEMENT Associate Professor, Ph.D. useful REMEMBER? What if we are a multi-product company? DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Process costing: “…each unit is assumed to receive the same amount of direct material costs, direct manufacturing labour costs and indirect manufacturing costs.” Stefan Schaper Associate Professor, Ph.D. PICTURE IT: DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Schaper Associate Professor, Ph.D. FOCUS ON INDIRECT COSTS! DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Schaper Associate Professor, Ph.D. MULTIPLE COST OBJECTS Cause-andeffect Benefits received Fairness or equity Ability to bear DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT • Identify the variable or variables that cause resources to be consumed • Logical link! • Identify the beneficiaries of the outputs of the cost object. • e.g. the department that “benefit” from costs • Typical in contracts with public organizations • Cost allocations are the basis for establishing a satisfactory price • Allocating costs in proportion to the cost object’s ability to bear them Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. DOMINANT CRITERIA The cause-and-effect and the benefits-received criteria guide most decisions related to cost allocations. Cost-benefit Approch Great emphasis on the cost–benefit approach when designing and implementing their cost-allocation system, but: • Costs are generally highly visible • Benefits are more difficult to measure DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. LEARNING OBJECTIVES 1. Describe how a costing system can have multiple cost objects 2. Outline four purposes for allocating costs to cost objects 3. Discuss problems faced when collecting costs in indirect cost pools 4. Describe single-rate and dual-rate cost-allocation method 5. Explain changes in risks at budgeted versus actual allocation rates 6. Learn direct, step-down and reciprocal methods of allocating costs 7. See differences in incremental and stand-alone cost-allocation method 8. Outline consequences of the inappropriate use of an allocation base 9.OF Describe why managers may Accounting find cost hierarchy-based reports DEPARTMENT Management Stefan Schaper AARHUS UNIVERSITY MANAGEMENT Associate Professor, Ph.D. useful Exh. 5.1 PURPOSES OF COST ALLOCTION 1 Provide information for economic decisions • e.g.: should a new product line be introduced? do we have to produce or outsource ourselves? 2 Motivate managers and other employees • e.g.: simplify processes, selling high-profit products. 3 Justify costs or compute reimbursement • e.g.: consulting fees in relation to the expected cost reductions. 4 Measure income and assets for reporting to external parties. • e.g.: to determine the cost of stock, etc. DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. LEARNING OBJECTIVES 1. Describe how a costing system can have multiple cost objects 2. Outline four purposes for allocating costs to cost objects 3. Discuss problems faced when collecting costs in indirect cost pools 4. Describe single-rate and dual-rate cost-allocation method 5. Explain changes in risks at budgeted versus actual allocation rates 6. Learn direct, step-down and reciprocal methods of allocating costs 7. See differences in incremental and stand-alone cost-allocation method 8. Outline consequences of the inappropriate use of an allocation base 9.OF Describe why managers may Accounting find cost hierarchy-based reports DEPARTMENT Management Stefan Schaper AARHUS UNIVERSITY MANAGEMENT Associate Professor, Ph.D. useful DECISIONS REGARDING COST POOLS Exh. 5.3 Costs incurred in different parts of an organisation Corporate (headquarter) level can be assigned, and then reassigned, when costing products, services, customers or contracts. Production (plant) level Homogeneous cost pool: All costs have the same or a similar cause-and-effect or benefits-received relationship with the cost-allocation base. Individual product level DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. ALLOCATING CORPORATE COSTS Example: Sandy Corporation manufactures clothes washers and dryers in two international divisions: • Clothes Washer Division in Paris (CWD) • Clothes Dryer Division in Prague (CDD) See Excel file on BB Sandy Corporation collects costs at the following levels in its organisation: Financial costs: £600,000 • interest on debt used to finance the construction of new assembly equipment which cost: £4,000,000 in the Paris Division and £2,000,000 in the Prague Division. Human resources costs: £1,200,000 • recruitment and ongoing employee training and development. DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. ALLOCATING CORPORATE COSTS See Excel file on BB Example: Division costs: Paris Prague Direct labour 1,200,000 1,800,000 Other direct costs1,000,000 2,200,000 Indirect costs 1,980,000 2,500,000 Total 4,180,000 6,500,000 Sandy Corporation’s analysis indicates that the demand for corporate human resource management costs for recruitment and training varies with direct labour costs. These costs are allocated to divisions on the basis of the total direct labour costs incurred in each division. DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. Cause-andeffect ALLOCATING CORPORATE COSTS Example: Suppose direct labour costs in the Paris Division £1,200,000 (40%) Prague Division £1,800,000 (60%) £3,000,000 How should the £1,200,000 of HRM resources be allocated? • Paris Division: £1,200,000 × (40%) = £480,000 • Prague Division: £1,200,000 × (60%) = £720,000 DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. See Excel file on BB ALLOCATING CORPORATE COSTS Paris See Excel file on BB Prague Financial costs: £600,000 (2/3) and (1/3) 400,000 200,000 Human resources costs: £1,200,000 (40%) and (60%) 480,000 Total allocated to divisions DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT 720,000 880,000 Management Accounting 920,000 Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. ALLOCATING CORPORATE COSTS Division costs are reallocated to the departments within the division. The Paris Division has two operating departments: • Assembly and Finishing plus two support departments: • Maintenance and Human Resources. The Paris Division management decided to reallocate: • 400,000 financial costs to the Assembly Department, • 480,000 human resources costs to its HRM Department DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. See Excel file on BB LEARNING OBJECTIVES 1. Describe how a costing system can have multiple cost objects 2. Outline four purposes for allocating costs to cost objects 3. Discuss problems faced when collecting costs in indirect cost pools 4. Describe single-rate and dual-rate cost-allocation method 5. Explain changes in risks at budgeted versus actual allocation rates 6. Learn direct, step-down and reciprocal methods of allocating costs 7. See differences in incremental and stand-alone cost-allocation method 8. Outline consequences of the inappropriate use of an allocation base 9.OF Describe why managers may Accounting find cost hierarchy-based reports DEPARTMENT Management Stefan Schaper AARHUS UNIVERSITY MANAGEMENT Associate Professor, Ph.D. useful Example p. 129 (Exh. 5.3) SINGLE- AND DUAL-RATE METHOD • The single-rate method uses one cost pool (for fixed and variable costs) • Dual-rate cost allocation method classifies costs in each cost pool into two cost pools – a variable-cost cost pool and a fixed-cost cost pool. Exampl e: Fixed operating costs €300.000 Total capacity available 1500 h Budgeted long-term use (in hours) Microcomputer division 800 h Peripheral Equipment division 400 h Total 1200 h Budgeted variable costs per hour* €200 * within the 1000-1500 hour relevant range DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. Example p. 129 (Exh. 5.3) SINGLE-RATE METHOD The single-rate method uses one cost pool (for fixed and variable costs) • Uses the same allocation rate: Total cost pool: €300.000 + (1.200 budgeted hours x €200) €540.000 1 cost pool Budgeted long-term use (in hours) 1.200 h 1 allocation base Budgeted total rate per hour: €540.000 / 1.200h €450 per hour Allocation rate for Microcomputer division €450 per hour Allocation rate for Peripheral Equipment division €450 per hour Cost allocated to Microcomputer division (900 h*) €405.000 Cost allocated to Peripheral Equipment division (300 h*) €135.000 DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. * assumed usage What if computer hours would be only 600? Example p. 129130 (Exh. 5.3) DUAL-RATE METHOD Dual-rate cost allocation method classifies costs in each cost pool into two cost pools – a variable-cost cost pool and a fixed-cost cost pool. • Each of these pools uses a different cost-allocation base. Microcomputer division Fixed costs function (800/1200) x €300.000 €200.000 per year Variable cost function €200 per hour Cost allocated to Microcomputer division €200.000 + (900x€200) €380.000 Peripherical equipment division Fixed costs function (400/1200) x €300.000 €100.000 per year Variable cost function €200 per hour DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. Cost allocated to Peripheral Equipment division €100.000 €160.000 Fixed Variabl e EXERCISE 5.14 • Fixed costs: € 1,000,000 • Variable costs: € 2,000,000 Factory Usage in KWh Budget Actual Kifisia 100.000 80.000 Iraklion 60.000 120.000 Chalandri 40.000 40.000 DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Stefan Schaper Schaper Associate Professor, Ph.D. Associate Professor, Ph.D. LEARNING OBJECTIVES 1. Describe how a costing system can have multiple cost objects 2. Outline four purposes for allocating costs to cost objects 3. Discuss problems faced when collecting costs in indirect cost pools 4. Describe single-rate and dual-rate cost-allocation method 5. Explain changes in risks at budgeted versus actual allocation rates 6. Learn direct, step-down and reciprocal methods of allocating costs 7. See differences in incremental and stand-alone cost-allocation method 8. Outline consequences of the inappropriate use of an allocation base 9.OF Describe why managers may Accounting find cost hierarchy-based reports DEPARTMENT Management Stefan Schaper AARHUS UNIVERSITY MANAGEMENT Associate Professor, Ph.D. useful SUPPORT DEPARTMENT COSTS Operating Department(s) (a production department in manufacturing companies) adds value to a product or service DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Support Department(s) provides services that assist operating and support departments in the organisation Stefan Schaper Associate Professor, Ph.D. SUPPORT DEPARTMENT COSTS Direct method • Allocates support department costs to operating departments only Step-down method • Allocates support department costs to other support departments and to operating department. • aka as sequential allocation Reciprocal method • Allocates costs by including the mutual services provided among all support departments. DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Schaper Associate Professor, Ph.D. Exh. 5.5. & 5.6 DIRECT METHOD • The direct method is the simplest method. • Here we ignore the mutual exchange between support departments and pretend that the entire resource consumption is used by the operating departments only. Plant maintena nce S 1 S 2 Informatio n Systems DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Schaper Associate Professor, Ph.D. Machine Departme nt P1 P2 Assembly Departme nt Exh. 5.7 STEP-DOWN METHOD • Allows a partial recognition of services rendered by support departments • Requires to rank the support departments (to determine the sequence) % or € amount of total service provided to other sup. deps. DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Plant maintena nce S 1 S 2 Informatio n Systems Stefan Schaper Associate Professor, Ph.D. Machine Departme nt Step 1 Step 2 P1 P2 Assembly Departme nt Exh. 5.8 RECIPROCAL METHOD Explicit inclusion of mutual services provided among sup. deps. Plant maintena nce S 1 Three steps: 1. For the distribution of each sup. dep.’s costs an equation is formulated 2. Calculate the complete reciprocated costs for each sup. dep. 3. Allocate these complete reciprocated costs to all other departments (both operating and support) DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting S 2 Informatio n Systems Stefan Schaper Associate Professor, Ph.D. Machine Departme nt P1 P2 Assembly Departme nt RECIPROCAL METHOD Calculation of reciprocated costs Exh. 5.8 p. 138 Plant maintena nce Machine Departme nt S 2 P2 S 1 P1 Distribution of the support department's resource Informatio Assembly n Systems Departme consumption to operational departments. nt DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Schaper Associate Professor, Ph.D. RECIPROCAL METHOD Example – Step 1: • "Plant Maintenance" uses 10% of Information Systems service. • ”Information Systems” uses 20% of ‘Plant Maintenance’ services • We illustrate this mathematically by adding reciprocal resource consumption to the department's costs: PM = € 600,000 + 0,1IS IS = € 116,000 + 0.2PM DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Exh. 5.8 p. 138 Plant maintena nce P M IS Informatio n Systems Stefan Schaper Associate Professor, Ph.D. Machine Departme nt P 1 P 2 Assembly Departme nt RECIPROCAL METHOD Exh. 5.8 p. 138 Example - Step 2: PM = €600.000 + We first solve for ”Plant Maintanence” (PM): 0,1IS IS = €116.000 + PM = € 600,000 + (0.1 (€ 116,000 + 0,2PM 0.2PM)) = € 600,000 + € 11,600 + 0.02PM We plug IS’ equation into the PM equation 0.98PM = € 611.600 where we have PM = € 611.600 / 0.98 = € 624.082 indicated IS DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Schaper Associate Professor, Ph.D. Exh. 5.8 p. 138 RECIPROCAL METHOD (…) Step 2: Now we have a value for PM and can therefore solve IS’ equation: IS = € 116,000 + 0.2 (€ 624,082) IS = € 240,816 Step 3: Calculate the amounts to be allocated: • From IS to PM (10%): 0.1x € 240.816 = € 24.082 • From PM to IS (20%): 0.2x € 624,082 = € 124,816 DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting € 124.816 P M € 24.082 Plant maintena nce IS Informatio n Systems Stefan Schaper Associate Professor, Ph.D. Machine Departme nt P 1 P 2 Assembly Departme nt RECIPROCAL METHOD Careful: do not dublicate costs allocated to the operation departments! • not all complete reciprocated costs are allocated to op. dep. • some are allocated to the other supp. Dep. What do thes calculations show us? DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Schaper Associate Professor, Ph.D. STILL NOT CLEAR WHY? Exh. 5.9 shows the effect that the different calculations will eventually have on a productcosting level in each department DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Schaper Associate Professor, Ph.D. Exh. 5.9 p. 138 LEARNING OBJECTIVES 1. Describe how a costing system can have multiple cost objects 2. Outline four purposes for allocating costs to cost objects 3. Discuss problems faced when collecting costs in indirect cost pools 4. Describe single-rate and dual-rate cost-allocation method 5. Explain changes in risks at budgeted versus actual allocation rates 6. Learn direct, step-down and reciprocal methods of allocating costs 7. See differences in incremental and stand-alone cost-allocation method 8. Outline consequences of the inappropriate use of an allocation base 9.OF Describe why managers may Accounting find cost hierarchy-based reports DEPARTMENT Management Stefan Schaper AARHUS UNIVERSITY MANAGEMENT Associate Professor, Ph.D. useful ALLOCATING COMMON COSTS By optimizing / rationalising an organisation, some costs are added together and then are difficult to be assigned separatelty. If we then want to distinguish these costs because it is essential to our cost object, then there are two methods: 1. Stand alone: Individual equal assessment - weighted distribution 2. Incremental: additional cost of activity Basic assumption: We know the two individual costs before DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Schaper Associate Professor, Ph.D. ALLOCATING COMMON COSTS See on pp. 139-40 The example of two flights: • Two-way ticket to Moscow: € 1200 • Two-way ticket to Prague: € 800 • Common trip to Moscow and Prague: € 1500 - we save € 500 Stand alone (weighted distribution): Incremental (additional cost assessment): Allocation of costs to Moscow: € 1200 / (€ 800 + € 1200) = 0.6 60% of € 1500 = € 900 Moscow as the primary tour and thus the cost is € 1200 Allocation of costs to Prague: € 800 / (€ 800 + € 1200) = 0.4 40% of € 1500 = € 600 Management Accounting Prague as an additional cost € 1500- € 1200 = € 300 DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Stefan Schaper Associate Professor, Ph.D. CONSEQUENCES OF INAPPROPRIATE USE OF ALLOCATION BASE • Many commercial contracts include clauses that require cost accounting information. • These can provide incorrect information for decision making and distort the cost information • Give a wrong basis for bonus payout etc. • Provide the wrong basis for future prioritization of cost objects as well as incorrect prioritization regarding service departments' functions • In the worst case, provide the wrong information base for pricing and market strategies. • Contract disputes can often be reduced by making the cost assignment rules as explicit as possible. • These rules should include details such as cost item, cost-allocation base and how differences between budgeted and actual costs are to be handled. DEPARTMENT OF AARHUS UNIVERSITY MANAGEMENT Management Accounting Stefan Schaper Associate Professor, Ph.D. DEPARTMENT OF MANAGEMENT A ARHUS UNIVERSITY Management Accounting Stefan Schaper Associate Professor, Ph.D.