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Skills level · Performance Management

Performance Management · November 2021

Every objective and theory question in this paper, with answers where we have them, and the topic notes to revise each one.

7 questions7 theory11 topics to revise
Source: ICAN Pathfinder, Skills Level Examination, Performance Management, November 2021

November 2021 diet

0 objective and 7 theory
Time allowed: 31/4 hours (including 15 minutes reading time).
0 objective7 theory135 theory marks set
No.SectionMarksCovers
Q1Section A (compulsory)30Limiting factor with special order and penalty; outsourcing pros and cons; budget constraint causes.
Q2Section B20Make or buy with discounting, indifference price, non-financial factors.
Q3Section B20TAR and profit-maximising output, advantages over marginal costing.
Q4Section B20Deseasonalise and forecast; participation in budget setting arguments and challenges.
Q5Section C15Expected NPV with three uncertain factors and joint probabilities (NPV itself outside course).
Q6Section C15No-calculation explanation of maximin, maximax, minimax regret, expected value and risk attitudes.
Q7Section C15Alba/Beta transfer price from residual income target; sub-optimality; negotiated v market price.

Theory questions Written questions

1
Theory question 1Section A (compulsory)
30 marks
a 6b 9c 6d 9

Kikelomo Limited manufactures three products K, T and F, using different quantities of the same resources. Budget information per unit is as follows: K T F ₦ ₦ ₦ Market selling price 1,800 2,520 3,000 Direct labour (₦140/hour) 280 560 700 Material A (₦60/kg) 300 240 420 Material B (₦120/kg) 480 720 600 Variable overhead (₦80/hour) 160 320 400 Fixed overhead 240 140 240 Total cost 1,460 1,980 2,360 Profit 340 540 640 Total budgeted sales units 500 800 1,600 The budgeted sales are for the month of June but do not include an order from a major customer to supply 400 units per month of each of the three products, at a discount of ₦200 per unit from the market selling price. During June, the management of Kikelomo Ltd anticipated that there will be a shortage of material B, and that only 17,500 kgs will be available. It is not possible for Kikelomo Ltd to hold inventory of any raw materials, work-in- progress or finished products. Required:

a

State THREE factors which may cause input materials to be a budget constraint and identify steps which may be taken to overcome this constraint.

6 marks
b

Prepare calculations to show production that will maximise Kikelomo Ltd’s profit for June.

9 marks
c

Kikelomo Ltd has now realised that the contract with the major customer does not have to be met in full for any of the three products. The customer will accept whatever Kikelomo is prepared to supply at the contracted 58 prices but they will charge a financial penalty if Kikelomo does not supply them in full in June. Based on this additional information: Calculate: The lowest value of the financial penalty that the major customer would need to insert in the contract to ensure that Kikelomo Ltd meets the order in full in June.

6 marks
d

Now assume that the shortage of material B is expected to continue far beyond June and management of Kikelomo Ltd has decided to outsource the production of some of the products, advise the management of Kikelomo Ltd on the advantages and disadvantages of outsourcing.

9 marks
Suggested answer

a) The availability of materials may be a constraint when formulating the budget.

i) There may be a shortage of supply of materials e.g. where they are Imported and it is known that a bad harvest or political unrest will limit the total quantity available. ii) The company may have a limited quantity of specialist storage space available. For example raw material may require specially humidified storage or special storage container space where it is toxic or dangerous in nature. Such constraints may limit the overall amount of material which can be made available during the budget period. iii) The level of material losses in stores and in the production process may be unacceptably high. This will increase the total input materials required and could lead to a shortfall arising. iv) Seasonal material input v) Surge in demand vi) Storage facility and capacity vii) Transport system to move material viii) Price of related input material for substitute and complementary goods The steps: The company may attempt to minimise the effect of potential shortages by placing forward orders for materials. It may also consider possible substitute materials which are more readily available. Where storage space is a problem, the company may consider the renting of extra storage facilities. It may also wish to negotiate a ’just-in-time’ agreement whereby deliveries of material are guaranteed by suppliers to coincide with the forward production plan. In order to reduce the level of material losses, stores layout and control procedures should be reviewed. In the production process additional focus on the efficiency of machinery and the level of training of the work force should help reduce the level of material losses and hence the total material input required. 69

b) Computation of Production that maximises profit Product K T F N N N Selling Price 1,800 2,520 3,000 Less Variable cost: Direct labour (280) (560) (700) Material A (300) (240) (420) Material B (480) (720) (600) Variable overhead (160) (320) (400) Contribution/Unit 580 680 880 Ranking the products using contribution/kg of material B Kg of material B 4 6 5 Contribution/kg N145 N113.33 N176 Ranking 2nd 3rd 1st Use of material B 3,600kg 3,900kg 10,000kg Optimal Production 900 650 2,000

c) Producing with no special emphasis on special order K T F Contr./Unit N580 N680 N880 Normal Production 500 800 1,600 Unit of material B 4 6 5 2,000 4,800 8,000 = 14,800 Ranking 2nd 3rd 1st Bal. to be used for special Order 700kg 0 2,000kg = 2,700 Units to be produced under special order 175 units 400 units Normal contribution 580 x 500 =290,000 800 x 680 544,000 1,600 x 880 = 1,408,000 = N2,242,000 Special Order 175 x 380 = 66,500 - 400 x 680 = 272,000 N338,500 N356,500 N544,000 N1,680,000 = N2,580,500 70 Producing with Emphasis on Special order Optimal Production (units) 900 650 2,000 N Contribution/unit N580 N680 N880 Total Contribution N522,000 N442,000 N1,760,000 2,724,000 Less Discount N80,000 N80,000 N80,000 (240,000) N442,000 N362,000 N1,680,000 = 2,484,000 Financial Penalty N2,580,500 – N2,484,000 = N 96,500

d) Advantages of outsourcing:

i. It allows each party to focus on core competences. This should lead to improved quality of the final products produced by Alice. In addition, this should lead to improved efficiency in that part of the overall operations. ii. It should lead to improved services provided to customers, leading to an increase in customer satisfaction. This will assist in retaining existing customers and achieving repeat sales. iii. Outsourcing will mean that the amount of capital expenditure is reduced, as the company will no longer be required to invest in the plant and equipment needed to carry out the outsourced activity. iv. It should lead to less incidence of under-utilisation of assets. This will lead to greater efficiency, and will impact positively on a number of important performance measures (e.g. ROA, asset turnover, ROE, etc). v. It is possible, but by no means certain, that an activity can be provided by an outsourcer at lower cost than is possible in-house, as a result of the outsourcer’s ability to specialise. Disadvantages of outsourcing: i. Staff resistance: Members of staff, particularly those currently working in the activity to be outsourced, may be resistant, as they will fear that their jobs will be lost. ii. Loss of critical skill: In the medium to long term, the skills associated with the outsourced activity will be lost to the company. It is probable that replacing such skills could prove to be costly. If an inappropriate activity is outsourced, or the outsourcing initiative is unsuccessful, this could prove to be very costly. Once such skills have been lost, the supplier may seek to increase prices. In such circumstances there would be little option to accept the increased cost, unless an alternative supplier can be identified. 71

iii. Quality of the supplier: The success of an outsourcing initiative will be heavily influenced by the quality of the supplier. It may be difficult to identify a supplier who can provide the correct skills and meet the required specification. iv. Loss of confidential data: When an activity is outsourced, there is a danger that it allows competitors to obtain access to data which otherwise would remain in-house. This may lead to a commercial disadvantage. This is most likely to occur in the case of a product, and competitors may now be able to carry out a tear-down analysis more easily. v. Reputational problems: The most significant potential problem is the damage to reputation which may result if the supplier does not meet the required specification. vi. Outsourcing firm may turn to a competitor vii. Loss of managerial control viii. Failure to meet delivery targets

ix. Selection of vendors may take time and effort

Examiner’s report This is a compulsory question that tests candidates’ knowledge on how to handle limiting factor. Being a compulsory question, it was attempted by almost all the candidates. The candidates recorded an average performance. The pitfall is that most candidates failed to compute the financial penalty that will be expected when Kikelomo Ltd fails to supply the special order in full as well as failure to treat the discount as an attributable variable costs that only applies to the special order. Candidates are encouraged to study the Institute’s study manual when preparing for ICAN examinations. 72

Marking guide Marks a 3 factors that cause material input constraint 3 3 Steps to overcome them 3 6 b - Contribution per unit 1 ½ - Contribution per kg of material B 1 ½ - Ranking 1 ½ - Optimal Production 4 ½ 9 c Computation of lowest value of financial penalty (36 ticks at 16 mark) 6 d Advantages of outsourcing (2 points at 21/2 marks) 5 Disadvantage of outsourcing (2 points at 2 marks) 4 9 30

Source: ICAN Pathfinder, Skills Level Examination, Performance Management, November 2021, Question 1
2
Theory question 2Section B
20 marks
a 10b 5

Divine Grace (DG) Limited currently makes as many units of “Part-2011” as it needs. The company has recently received a bid from another company, KK Plc, for making “Part 2011”. The company will supply 1,000 units of “Part 2011” per year at N100 a unit. The company can begin the supply and continue for five years, after which time DG Limited will not need the part. KK Plc can accommodate any change in DG Limited’s demand for the part and will supply it for N100 regardless of quantity. Ayo Ayuba, the cost accountant, reports the following costs for manufacturing 1,000 units of “Part 2011”. N Direct materials 44,000 Direct production labour 22,000 Variable production overhead 14,000 Depreciation on machine 20,000 Product and process engineering 8,000 Rent 4,000 General overheads 10,000 122,000 59 The following additional information is available: (i) “Part 2011” is made on a machine used exclusively for the production of “Part 2011”. The machine was acquired on January 1, last year at a cost of N120,000. The machine has a useful life of six years and zero terminal disposal price. Depreciation is calculated on the straight-line method. (ii) The machine could be sold today for N30,000. (iii) Product and process engineering costs are incurred to ensure that the production process for “Part 2011” works smoothly. Although these costs are fixed in the short run, with respect to units of “Part 2011” produced, they can be saved in the long run if “Part 2011” is no longer produced. If “Part 2011” is outsourced, product and process engineering costs of N8,000 will be incurred for next year only. (iv) Rent costs of N8,000 are apportioned to products on the basis of the floor space used for manufacturing the product. If “Part 2011” is discontinued, the space currently used to manufacture it would become available. The company could then use the space for storage purposes and save N2,000 currently paid for outside storage. (v) General overheads are apportioned to each department on the basis of direct production labour costs. These costs will not change in total, but no general overhead will be apportioned to “Part 2011” if the part is outsourced. Assume the required rate of return is 12%. Required:

a

Should DG Limited outsource “Part 2011”?

10 marks
b

What maximum price should KK Limited quote on the 1,000 units to make Divine Grace indifferent between outsourcing and internal production?

5 marks
c

What non-financial factors would favour internal production rather than outsourcing? (5 Marks) 60

Suggested answer

a) Outsourcing Cost Year Particular CF DCF@12% PV N N 1-5 Outsourcing Cost (100,000) 3.605 (360,500) 0 Sales of machine 30,000 1.000 30,000 1 Engineering cost (8,000) 0.893 (7143) 1-5 Rent 2,000 3.605 7,210 330,433 Internal Production Cost Year Particular CF DCF@12% PV N N 1-5 Direct material (44,000) 3.605 (158,620) 1-5 Direct Labour (22,000) 3.605 (79,310) 1-5 Variable O/H (14,000) 3.605 (50,470) 1-5 Engineering cost (8,000) 3.605 (28,840) 317,240 Decision: Produce internally The company should continue to produce “Part 2011”. 73 Alternative Approach

a) There are two options to evaluate

- Outsource......................A - Produce .......................B In the solution that follows, we use incremental approach Cash flows (N) Items Yr A B A-B PVF@12% PV Sales of machine 0 30,000 0 30,000 1 30,000 Outsourcing costs 1-5 (100,000) 0 (100,000) 3.605 (360,500) Direct materials 1-5 0 (44,000) 44,000 3.605 158,200 Direct labour 1-5 0 (22,000 22,000 3.605 79,310 Variable overhead 1-5 0 (14,000) 14,000 3.605 50,470 Product, etc engineering 1 (8,000) (8,000) 0 0.893 0 2-5 0 (8,000) 8,000 2.712 21,696 Rent 1-5 0 (2,000) 2,000 3.606 7,210 NPV if outsourcing N(13,614) The company should continue to produce part 2011.

b) NPV =N330,433 – N317,240= N13,193 Sensitivity of the quoted price = NPV PV of outsourcing cost x 100 = N13,139 N360,500 x 100 = 3.66% This means that the unit price should not reduce more than N100 - (N100 x 3.66%) = N100 - N3.66 = N96.34 Alternative Solution: 3.605 x 1000 units x Price =N360,500 – NPV = 3,605 P = N360,500 – N13,193 3,605P = N347,307 P = N347,307 3,605 P = N96.34 74

c) The following are the non-financial factors that would favour internal production:

i) Labour Union: If outsourcing leads to laying off operatives who are currently producing the components, labour union may react adversely, if not properly handled.

ii) Quality: To maintain high level of quality of the component, it might be better to produce rather than to outsource.

iii) Ability to meet delivery scheduling: Internal production should ensure that the components are delivered as and when needed.

iv) Continuity of supply: This component will be needed for the next five years. Strategic reasons will demand that the company should keep the supply under its control. Thus, for harmonious labour relationship, desired level of quality, ability to meet delivery scheduling and continuity of supply, it better to produce rather than outsourcing.

Examiner’s report This is one of the open-ended questions that tests candidates’ understanding of relevant cost. The attempt on this question by candidates was very low. The candidates recorded below average performance. The pitfall noticed is candidates’ failure to apply the discounting aspect of the question. Candidates are encouraged to study the Institute’s study manual when preparing for ICAN future examinations.

Marking guide Marks A DG to outsource or not (20 ticks at ½ mark) 10 B Maximum price to be quoted by KK Ltd 5 C Non-financial factors that affect internal production (Any 2 points at 2½ marks) 5 20 75

Source: ICAN Pathfinder, Skills Level Examination, Performance Management, November 2021, Question 2
3
Theory question 3Section B
20 marks
a 4b 4c 8

Kahkiri Limited manufactures two products, product X and product Y, on the same machines. Sales demand for the products exceed the machine capacity of the company’s production department. The potential sales demand in each period is for 16,000 units of Product X and 24,000 units of Product Y. Sales prices cannot be increased due to competition from other firms in the market. The maximum machine capacity in the production department is 64,000 hours in each period. The following cost and profitability estimates have been prepared: Product X Product Y ₦ ₦ Sales price 44 54 Direct materials 20 18 Direct Labour 6 11 Variable overhead 6 11 Contribution per unit 12 14 Attributable fixed cost N10,000 N10,000 Machine hours per unit 1.5 hours 2 hours Fixed costs in each period are N100,000 Required:

a

Using marginal costing approach, calculate the profit-maximising output for the period, and the associated profit for each product and company.

4 marks
b

What are the advantages of throughput accounting over marginal costing method in profit maximising decisions?.

4 marks
c

Calculate the throughput accounting ratio for Product X and for Product Y.

8 marks
d

Using throughput accounting principles, calculate the profit-maximising output in each period, and calculate the amount of the profit. (4 Marks) 61

Suggested answer

a. Using marginal costing principles to calculate the profit maximising output and profit: Products X Y Sales volume 16,000 units 24,000 units N N Sales Price 44 54 Less variable costs: Direct material 20 18 Direct labour 6 11 Variable overheads 6 11 Total variable costs 32 40 Contribution per unit 12 14 Machine hours per product 1.50 hours 2 hours Contribution per machine hours N8 N7 Ranking 1st 2nd Hours Required: Product X = 16,000 x 1.50 = 24,000hours Product Y = 24,000 x 2 = 48,000 hours Total hours machine required = 72,000 hours Available hours: 64,000 hours Production Mix = Product X = 16,000 units x 1.50 hours = 24,000 hours Product Y = 40,000 /2 = 20,000 units = 40,000 Hours Therefore, profit maximising output = Product X = 16,000 units Product Y = 20,000 units Associated Profit Product X Y Total N Unit contribution 12 14 Total contribution N192,000 N280,000 472,000 Less Attributable fixed cost N(10,000) N(10,000) (20,000) Less General Fixed costs (100,000) Net Profit N182,000 N270,000 352,000 76

b. The advantages of throughput accounting over marginal costing method in profit maximising decisions include:

(i) It helps to identify the factors that limit the organisation from realising its goal. (ii) It helps management to solve organisational crisis and improve business processes to ensure a competitive edge. (iii) It identifies method which the organisation can use to improve its financial management.

c. Calculation of the throughput accounting ratio for Products X and Y Computing throughput return per bottleneck X Y Sales volume 16,000 units 24,000 units Sales Price N44 N54 Less: Throughput costs: Direct material N20 N18 Throughput return N24 N36 Machine hours per unit 1.50 hours 2 hours Throughput returns per machione hours N16 N18 Ranking 2nd 1st Factory operating cost per bottleneck Particulars X Y Total N Units of production 16,000 24,000 Direct labour N96,000 N264,000 360,000 Variable overhead N96,000 N264,000 360,000 Attributable fixed costs N10,000 N10,000 20,000 Other fixed costs 100,000 Tot Throughput accounting ratio = Throughput return per bottleneck Factory cost per bottle neck Product X Y Throughput returns per machione hours N16 N18 Factory operating cost per machine hour N13.125 13.125 Throughput Accounting ratio = 16 18 = 13.125 13.125 = 1.22 1.37 Ranking to manufacture 2nd 1st

d. Product X Y Total N Total machine hours 16000 hours 48,000 hours Machine hours/Unit 1.5 hours 2 hours Profit maximising output 10,667 units 24,000 units Throughput return/hour N16 N18 Total Return N256,000 N864,000 1,120,000 Total operating cost 840,000 Total operating costs 280,000

Examiner’s report The question tests candidates’ understanding of throughput accounting and marginal costing analysis. The attempt on this question by candidates was very high. The candidates recorded above average performance. The pitfall noticed is inability of the candidates to compute throughput accounting ratio. Candidates are advised to use ICAN study manual intensively when preparing for ICAN future examinations. 78

Marking guide Marks a Computation of profit maximising output and profit (20 ticks at 1/5 mark) 4 b Advantages of throughput accounting over marginal costing. (2 points at 2 marks) 4 c Computation of Throughput accounting ratio. (40 ticks at 1/5 mark) 8 d Computation of profit maximising output and profit using throughput Accounting. (16 ticks ¼ mark) 4 20

Source: ICAN Pathfinder, Skills Level Examination, Performance Management, November 2021, Question 3
4
Theory question 4Section B
20 marks

You work as the assistant to the management accountant for Henry Limited, a medium-sized manufacturing company. One of its products, Product P, has been very successful in recent years, showing a steadily increasing trend in sales volumes. Sales volumes for the four quarters of last year were as follows: Quarter Quarter Quarter Quarter 1 2 3 4 Actual sales volume (units) 420,000 450,000 475,000 475,000 A new assistant has recently joined the marketing department and she has asked you for help in understanding the terminology which is used in preparing sales forecasts and analysing sales trends. She said: “My main problem is that I do not see why my boss is so enthusiastic about the growth in Product P’s sales volume. It looks to me as though the rate of growth is really slowing down and has actually stopped in quarter 4. I am told that I should be looking at the deseasonalised or seasonally adjusted sales data, but I do not understand what is meant by this’’. You have found that Product P’s sales are subject to the following seasonal variations: Quarter Quarter Quarter Quarter 1 2 3 4 Seasonal variation (units) +25,000 +15,000 0 -40,000 Required:

a

i. Adjust for the seasonal variations to calculate deseasonalised or seasonally adjusted sales volume (i.e., the trend figures) for each quarter of last year. (5 Marks) ii. Assuming that the trend and seasonal variations will continue, forecast the sales volumes for each of the four quarters of next year. (4 Marks)

b

Explain what is meant by seasonal variations and deseasonalised or seasonally adjusted data. Indicate how they can be useful in analysing a time series and preparing forecasts.

5 marks
c

State the arguments for and challenges arising from managers participating in setting their budget targets. (6 Marks) 62

Suggested answer

a) HENRY LIMITED Quarter 1 Quarter 2 Quarter 3 Quarter 4 (i) units units units units Actual sales volumes 420,000 450,000 475,000 475,000 Seasonal variation + 25,000 + 15,000 0 40,000 Deasonalised sales volumes 395,000 435,000 475,000 515,000 Quarter 1 Quarter 2 Quarter 3 Quarter 4 (ii) units units units units Trend projection 555,000 595,000 635,000 675,000 Seasonal variation +25,000 +15,000 - 40,000 Forecast sales volume 580,000 610,000 635,000 635,000

b) Seasonal variations Seasonal variations are short term variations in data that occur due to the time or season of the year. These variations could be due to hourly, daily, weekly, monthly or yearly changes in sales patterns. Due to these variations, forecast data do not always follow the historical trend and hence, the figures have to be adjusted to account for these variations. Deseasonalised or seasonally adjusted data: Actual data recorded already include seasonal variations. In order to get a clear picture of the trend (i.e. the underlying pattern), the effect of seasonal variations have to be adjusted - a process referred to as deaseasonalising the data. 79 Observation of the actual data suggests that the rate of increase in sales is declining. Uses Provided that the observed trend in deseasonalised data continues, the deseasonalised data can be used to project the trend in future sales. The trend values are adjusted by seasonal variations in each quarter to predict actual sales.

c) Argument for manager’s participation

i) Managers have experience of the day-to-day running of the business. Their knowledge can help ensure that budget targets are on the one hand: realistic, and on the other hand, a reflection of the full capabilities of the business. ii) Through manager participation the budgeting process can also become an opportunity for senior management to communicate organisational strategy, policies and expectations. This should encourage subordinate managers to concentrate on corporate goals rather than their own personal goals and will therefore help to achieve goal congruence. iii) Participation tends to increase motivation since managers feel they are valued. In addition, input to target setting encourages greater commitment to budgets as the budgets are then perceived to be fair. This again leads to improved goal congruence. iv) Grooming of managers for top posts: The consultation processes involved can be used to access manager potential and help provide training in the skills needed for higher-level management. Challenges arising from manager participation

i) Since managers are required to implement budgets, they may attempt to set easily achievable targets, over-estimating resource requirements for instance. This can be a particular problem if bonuses depend on achieving such targets. Occasionally, the reverse problem can arise: managers might be over optimistic, thinking an ambitious target will improve their status.

ii) Managers may have different degress of skill in determining an appropriate level of difficulty for budget targets, particularly in a changing business environment. Lack of confidence may also make a manager reluctant to participate.

iii) Although participation is usually perceived to improve motivation, if managers’ ideas are rejected, they may feel slighted and have less motivation and commitment to the budget than if it had been imposed from above. 80

Examiner’s report This is an unpopular question which dwells on trend analysis, seasonal variation and de-seasonalised adjusted data as tools for forecasting and budgeting. The (a) aspect tests candidates ability to compute trend figures using trend and seasonal variation information while the (b) and (c) parts dwelt on theories of seasonal variation, deseasonalised variations and participative budgetary process.

Marking guide Marks Marks Marks a (i) Adjusting for personal variation (20 ticks at ¼ mark) 5 (ii) Forecasts for sales volumes (16 ticks at ¼ mark) 4 9 b - Explanation of seasonal valuation 1½

- Explanation of deseasonalised adjusted data 1½ - Uses of time series/Forecast 2 5 - c Advantages of participative budgeting (2 points at 1 ½ marks) 3 Disadvantages of participative budgeting (2 points at 1½ marks) 3 6 20

Source: ICAN Pathfinder, Skills Level Examination, Performance Management, November 2021, Question 4
5
Theory question 5Section C
15 marks
a 13b 2

Gaskiya Nigeria Limited is considering whether or not to invest in any of the two projects where the initial cash investment would be ₦13,000,000 for A and N14,000,000 for B. The project would have a five-year life and the estimated annual cash flows are as follows: Project A Year Cash inflows Cash outflows N N 1 6,000,000 3,000,000 2 8,000,000 4,000,000 3 10,000,000 4,000,000 4 9,000,000 3,000,000 5 6,000,000 3,000,000 Total 39,000,000 17,000,000 Project B Year Cash inflows Cash outflows N N 1 10,000,000 5,000,000 2 9,000,000 4,000,000 3 8,000,000 3,000,000 4 8,000,000 3,000,000 5 4,000,000 2,000,000 Total 39,000,000 17,000,000 The company’s cost of capital is 10%. The estimates of cash outflows are considered fairly reliable. However, the estimates of cash inflows are much more uncertain. Several factors could make the annual cash flows higher or lower than expected. Factor 1: There is a 20% probability that government measures to control the Industry will reduce annual cash inflows by 25%. Factor 2: There is a 30% probability that another competitor will also enter the market: this would reduce the estimated cash inflows by 10%. Factor 3: There is a 40% probability that demand will be stronger than expected. The company would not be able to supply more products to the market, but it 63 would be able to sell at higher prices and cash inflows would be 5% higher than estimated. Required:

a

Calculate the expected net present value of the two projects.

13 marks
b

Which of the Projects will be more profitable?

2 marks
Suggested answer

GASKIYA NIG LTD a. Calculation of the expected net present value of the two Projects Computation of joint Probability distribution S/N Factor 1 Factor 2 Factor 3 Workings Joint Probability 1 YES YES YES 0.2 X 0.3 X 0.4 0.024 2 YES YES NO 0.2 X 0.3 X. 0.6 0.036 3 YES NO NO 0.2 X 0.7 X 0.6 0.084 4 NO NO NO 0.8 X 0.7 X 0.6 0.336 5 NO NO YES 0.8 X 0. 7 X 0.4 0.224 6 NO YES YES 0.8 X 0.3 X0.4 0.096 7 YES NO YES 0.2 X 0.7 X 0.4 0.056 8 NO YES NO 0.8 X 0.3 X. 0.6 0.144 Total 1.000 81 Impact on inflow S/N Joint Probability Inflow impact Result Final expected value 1 0.024 1 - 0.25 -0.10 + 0.05 0.70 0.0168 2 0.036 1 -0.25 – 0.10 0.65 0.0234 3 0.084 1 – 0.25 0.75 0.0630 4 0.336 1-0.0 1.00 0.3360 5 0.224 1 +0.05 1.05 0.2352 6 0.096 1 -0.10+ 0.05 0.95 0.0912 7 0.056 1 – 0.25 + 0.05 0.80 0.0448 8 0.144 1 – 0.10 0.90 0.1296 1.000 0.9400 Thus the EV of considering the 3 factors is 0.94. Therefore the NPV of Project A and B are: Project A Year Cash inflow EV of Cash flow PV of cash flow N’000 N’000 N’000 N’000 N’000 N’000 0 - (13,000) (13,000) 1.000 (13,000) 1 6,000 x 0.94 Cash Net Cash Discount outflow flow rate 10% 5,640 (3,000) 2,640 0.909 2,399.76 2 8,000 x 0.94 7,520 (4,000) 3,520 0.826 2,907.52 3 10,000 x 0.94 9,400 (4,000) 5,400 0.751 4,055.40 4 9,000 x 0.94 8,460 (3,000) 5,460 0.683 3,729.18 5 6,000 x 0.94 5,640 (3,000) 2,640 0.621 1,639.44 NPV +1,731.30 82 Project B Year Cash inflow EV of Cash flow Cash outflow PV of cash flow N’000 N’000 N’000 N’000 N’000 0 - (14,000) (14,000) 1.000 (14,000) 1 10,000 x 0.94 9,400 (5,000) 4,400 0.909 3,999.60 2 9,000 x 0.94 8,460 (4,000) 4,460 0.826 3,683.96 3 8,000 x 0.94 7,520 (3,000) 4,520 0.751 3,394.52 4 8,000 x 0.94 7,520 (3,000) 4,520 0.683 3,087.16 5 4,000 x 0.94 3,760 (2,000) 1,760 0.621 1,092.96 NPV +1,258.20

b. Project A will be more profitable with a higher NPV of N1,731.30

Examiner’s report The question tests candidates’ understanding of investment appraisal under situations of uncertainty with sensitivity of variables that affected the investment . The question was highly attempted by candidates as it was a popular capital investment appraisal question. The candidates recorded average performance. The pitfall noticed is the inability of the candidates to decipher the several other factors that affect the annual cash inflows and reflect their effect on the present values of net cash flow. Candidates are encouraged to study the Institute’s study pack when preparing for ICAN future examinations.

Marking guide

- Marks Marks Marks - Company Name ½ - Computation of joint probability - (9 ticks at ¼ mark) 2¼ - Computation of expected value ( 9 ticks at ¼ mark) 2¼ - Expected Net Present value of project A (24 ticks at 1/6 mark) 4 - Expected Net Present value of Project B (24 ticks at 1/6 mark) 4 13 - Most profitable project 2 15 83 Net Cash flow Discount rate 10%

Source: ICAN Pathfinder, Skills Level Examination, Performance Management, November 2021, Question 5
6
Theory question 6Section C
15 marks

Mr. Alade, the owner of a business, has been attending a course on scenario planning and decision making. As a result of that advice, the owner has produced, by using cost, volume and profit analysis, 12 scenarios for a new product that the business will launch in the near future. There are four possible marketing packages that could be used (A, B, C, or D) and there are three possible market conditions (poor, average or good) that could be encountered. The Net Present Value of the cash flows resulting from each of the scenarios is shown in the table below. Market package Market conditions A N’000 B N’000 C N’000 D N’000 Poor 180 230 220 190 Average 190 200 210 275 Good 550 260 210 500 Unfortunately, Mr. Alade missed the session on how to deal with risk and uncertainty. He has sent the above table to the tutor for the course and has asked for help. The tutor replied “I will send you some notes. Based on your table, you will need the methods in the section on ’Uncertainty’. If you can estimate the probability of each type of market condition occurring you need ’Risk based methods’. However, whichever method you use, your decision will be influenced by your attitude.”

RequiredNote: Calculations are NOT required. Explain FOUR methods that could help Mr. Alade to decide which marketing package to choose. Your answer should include THREE methods to deal with uncertainty, ONE method to deal with risk, and an explanation of the attitude that would be associated with the decision maker using each of the four methods. (15 Marks) 64
Suggested answer

Mr. Alade could use any of the following three approaches to deal with uncertainty:

(i) Maximin Decision Rule: The decision maker will look at the options and choose the one that has the highest minimum return. This type of decision maker is a pessimist and will look at the worst outcome for each of the options and seeks to get the best of the worst.

(ii) Maximax Decision Rule: The decision maker will look at the options and choose the one that has the highest return. This type of decision maker is an optimist.

(iii) Minimax Decision Rule (Regret): The decision maker will analyse the options and choose an option so that if it is the wrong choice, the regret will not be as much as if the others had been chosen and they were wrong. This type of decision maker seeks to minimise the post-event regret of having made a wrong decision.

(iv) If probabilities can be assigned to the outcomes then “uncertainty” will become “risk”. It will then be possible to calculate “expected values”. The decision will choose the outcome that has the highest expected value. This assumes that the decision maker is risk neutral. METHOD OF DEALING WITH RISK The expected value of an option does not give any indication of the risk associated with the option. The risk, or spread, of the possible outcomes of each option can be measured by calculating the standard deviation. A risk minimiser would choose the option with the lowest standard deviation. The trade off between risk and return can be evaluated by calculating the coefficient of variation (standard deviation over the expected value).

(v) Decision tree is a flowchart to represent possible solution based on certain conditions

(vi) Simulation method forecasts the outcome of an event using probabilities associated with the events.

(vii) Sensitivity analysis is a method that determines the effect of risk on the expected outcome of a key variable or factor. 84 Attitude of Decision Makers: (i) Risk averse: This avoids risk without adequate compensation for the risk (ii) Risk neutral: This is indifferent about risk taking and hence, ignores it (iii) Risk seeking: This takes risk without compensation for the risk.

Examiner’s report This question tests candidates theoretical appreciation of decision making under situations of uncertainty and risk. Many candidates attempted the question. The candidates recorded average performance. The major pitfall noticed is the inability of candidates to work in accordance with the examiners’ requirements that no computations are required. Candidates are advised to pay special attention to the requirements of questions as well as use the Institute’s study manual when preparing for ICAN future examinations.

Marking guide Marks Marks - 3 Methods of uncertainty in decisions making. (Any 3 points and explanations) 9 - 1 Method of risk appraisal in decision making. (Any 1 point and explanation) 3 - 3 Attitudes associated with decision making under risk/uncertainty. (Any 3 points and explanations) 3 15 85

Source: ICAN Pathfinder, Skills Level Examination, Performance Management, November 2021, Question 6
7
Theory question 7Section C
15 marks
a 3b 3c 5

Garki plc. is a holding company with four divisions, including Alba and Beta Divisions. Alba Division produces a component that it sells externally, and can also transfer to other divisions within the group. Beta Division uses the components from Alba Division as a raw material for its final product. The division can also obtain the components from external suppliers. The components, when obtained from Alba Division undergoes further processing at a cost of N4.50 per unit, before it is sold to the external market. The Board of Directors, in order to implement a new Appraisal Review, has set up a performance scheme for the divisional managers. A performance target for the next financial year has been set and the following budgeted information relating to the two divisions has been prepared. Alba Division Beta Division Maximum production/ Sales capacity 900,000 units Sales to external customers 700,000 units (no constraints) (Selling price) N6.80 Variable Unit Cost N4.90 Divisional fixed cost \` N160,000 N140,000 Capital employed N4m N3m Residue Income N700,000 N500,000 Divisional cost of capital 12% 10%. Beta Division has asked Alba Division to quote a transfer price for units of the components. Required:

a

Calculate the transfer price per unit which Alba Division should quote to Beta division in order that its budgeted residual income target will be achieved.

3 marks
b

Calculate the selling price per unit which Beta Division should quote to external market in order that its budgeted residual income target will be achieved, based on the transfer price quotation, (state clearly your assumptions).

3 marks
c

Explain why the transfer price calculated in (a) may lead to sub-optimal decision making from the point of view of Garki plc. taken as a whole.

5 marks
d

In what circumstances would a negotiated transfer price be used instead of a market based price? (4 Marks) 65 Formulae Learning curve Y = axb Where Y = cumulative average time per unit to produce x units a = the time taken for the first unit of output x = the cumulative number of units produced b = the index of learning (log LR/log2) LR = the learning rate as a decimal Demand curve P = a – bQ = b change in price change in quantity a = price when Q = 0 MR = a – 2bQ The linear regression equation of Y on X is given by: Y = 𝑎 + 𝑏𝑋 where b = 𝑛 𝑋𝑌− ( 𝑋)( 𝑌) 𝑛 𝑋2− 𝑋 2 a = 𝑦𝑛 − 𝑏 𝑥 𝑛 Coefficient of determination (r2) r2 = n xy− x y1 2 n x2− x 2 n 𝑦2−( 𝑦)2 66 The Miller-Orr Model 𝑆𝑝𝑟𝑒𝑎𝑑 =3 x 134x Transaction Cost x Variance of Cash flows 3 Interest rate as a proportion Annuity Table Present value of an annuity of 1 i

e

1 - (1 + r)-n r Where r = discount rate n = number of periods Discount rate (r) Periods (n) 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 1 0·990 0·980 0·971 0·962 0·952 0·943 0·935 0·926 0·917 0·909 1 2 1·970 1·942 1·913 1·886 1·859 1·833 1·808 1·783 1·759 1·736 2 3 2·941 2·884 2·829 2·775 2·723 2·673 2·624 2·577 2·531 2.487 3 4 3·902 3·808 3.717 3·630 3.546 3.465 3·387 3·312 3·240 3·170 4 5 4·853 4·713 4·580 4·452 4·329 4·212 4·100 3·993 3.890 3·791 5 6 5·795 5·601 5·417 5·242 5·076 4·917 4·767 4·623 4.486 4·355 6 7 6·728 6.472 6·230 6·002 5·786 5·582 5·389 5·206 5·033 4·868 7 8 7·652 7·325 7·020 6·733 6·463 6·210 5·971 5·747 5·535 5·335 8 9 8·566 8·162 7·786 7.435 7·108 6·802 6·515 6·247 5·995 5·759 9 10 9·471 8·983 8·530 8·111 7·722 7·360 7·024 6·710 6.418 6·145 10 11 10·368 9·787 9·253 8·760 8·306 7·887 7.499 7·139 6·805 6.495 11 12 11·255 10·575 9·954 9·385 8·863 8·384 7·943 7·536 7'161 6·814 12 13 12·134 11·348 10·635 9·986 9·394 8·853 8·358 7·904 7·487 7·103 13 14 13·004 12·106 11·296 10·563 9·899 9·295 8·745 8·244 7·786 7·367 14 15 13·865 12·849 11·938 11·118 10·380 9·712 9·108 8·559 8·061 7·606 15 (n) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 1 0·901 0·893 0·885 0·877 0·870 0·862 0·855 0·847 0·840 0·833 1 2 1·713 1·690 1·668 1·647 1·626 1·605 1·585 1·566 1·547 1·528 2 3 2.444 2.402 2·361 2·322 2·283 2·246 2·210 2·174 2·140 2·106 3 4 3·102 3·037 2·974 2·914 2·855 2·798 2·743 2.690 2·639 2.589 4 5 3·696 3·605 3·517 3·433 3·352 3·274 3·199 3·127 3·058 2·991 5 6 4·231 4·111 3·998 3·889 3·784 3·685 3·589 3.498 3.410 3·326 6 7 4·712 4·564 4.423 4·288 4·160 4·039 3·922 3·812 3·706 3·605 7 8 5·146 4·968 4.799 4·639 4.487 4·344 4·207 4·078 3·954 3·837 8 9 5·537 5·328 5·132 4·946 4·772 4·607 4.451 4·303 4·163 4·031 9 10 5·889 5·650 5.426 5·216 5·019 4·833 4·659 4.494 4·339 4·192 10 11 6·207 5·938 5·687 5.453 5·234 5·029 4·836 4·656 4.486 4·327 11 12 6·492 6·194 5·918 5·660 5·421 5·197 4·988 4·793 4·611 4.439 12 13 6·750 6.424 6·122 5·842 5·583 5·342 5·118 4·910 4·715 4·533 13 14 6·982 6·628 6·302 6·002 5·724 5.468 5·229 5·008 4·802 4·611 14 15 7·191 6·811 6.462 6·142 5·847 5·575 5·324 5·092 4·876 4·675 15 67 68

Suggested answer

a) Garki Plc Transfer price per unit for Alba Division: N Residual income 700,000 Notional interest (12% x 4,000,000) 480,000 Net profit 1,180,000 Divisional fixed cost 160,000 Contribution 1,340,000 Variable cost (900,000 x 4.90) 4,410,000 Total revenue 5,750,000 Less: External revenue (700,000 x 6.80) (4,760,000) Internal revenue (A) 990,000 Excess/idle capacity (900,000 – 700,000) (B) 200,000 units Transfer price (A/B)/unit N4.95 b) Selling price of Beta Division N Residual income 500,000 Notional interest (10% x 3,000,000) 300,000 Net profit 800,000 Divisional fixed cost 140,000 Contribution 940,000 Plus Variable cost further of processing cost (200,000 x 4.50) 900,000 Plus Transfer price (200,000 x 4.95) - input cost 990,000 Total revenue (c) 2,830,000 Quantity to sell (D) 200,000 External selling price (C/D) N14.15 Assumption: External offer price from intermediate market from Beta Division is equal to or greater than N4.95 transfer price.

c) The transfer price to Beta Division will be sub-optimal to the company as a whole since N6.80 is the price to external customers while N4.95 is price to the division necessitating a loss of N1.85 per unit. The sub- optimal decision making also can be due to the buying division recognising the fixed costs of N160,000 and mark-up (Profit – residual income and imputed capital cost) of selling divisions as variable costs of N4.95 when it should have been N4.90 in setting the transfer price. 86

d) Negotiated transfer Price Versus Market based Price A negotiated transfer price is a price that is a product of agreements between the managers of the profit centres. Here, managers are given the autonomy to agree on transfer price. Negotiated transfer prices are appropriate when there is an imperfect market for the goods and services that are bought and sold between divisions. Market-based transfer pricing is based on the existence of external market. Market-based transfer pricing is perhaps the easiest form of transfer pricing when it comes to determining the price that will be paid between divisions of the same company. It uses the normal market rate that would be paid if the goods were bought on the open market.

Examiner’s report The question is a transfer pricing question that is computed using expected divisional profit and residual income information. Many candidates attempted the question. The candidates recorded average performance. The pitfall noticed is candidates computation of transfer price based on variable costs and opportunity cost without taking into consideration divisional returns expectation in the areas of divisional profit and residual income which are the basis of sub-optimality. Candidates are advised to pay special attention to the requirements of questions as well as use the Institute’s study manual when preparing for ICAN future examinations.

Marking guide Marks Marks a Transfer price from Alba divison (12 ticks at ¼ mark) 3 b Selling price by Beta division (12 ticks at ¼ mark) 3 c Transfer price as sub-optimal decision (2 reasons at 2 ½ marks) 5 d - Explanation of Negotiated Transfer price 2

- Explanation of market based Transfer Price’ 2 4 Total 15 87 THE INSTITUTE OF CHARTERED ACCOUNTANTS OF NIGERIA

Source: ICAN Pathfinder, Skills Level Examination, Performance Management, November 2021, Question 7
Source and reference. These questions come from the Institute of Chartered Accountants of Nigeria (ICAN) Pathfinder for the Skills Level Examination, Performance Management, November 2021. When you use them, please cite the source, for example: ICAN Pathfinder, Skills Level Examination, Performance Management, November 2021. Each question carries its own reference and a button to copy it.