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FM – May 2024 – L3 – SB – Q2 – Investment Appraisal Techniques

Evaluate a proposed investment for Keke Plc, identify errors in the initial appraisal, recalculate NPV, and discuss IRR and business risk issues.

The following draft appraisal of a proposed investment project has been prepared for the Finance Director of Keke Plc (KP) by a trainee accountant. The project is consistent with the current business operations of KP.

Year 1 2 3 4 5
Sales (units/yr) 250,000 400,000 500,000 250,000
Contribution (₦000) 13,300 21,280 26,600 13,300
Fixed costs (₦000) (5,300) (5,618) (5,955) (6,312)
Depreciation (₦000) (4,375) (4,375) (4,375) (4,375)
Interest payments (₦000) (2,000) (2,000) (2,000) (2,000)
Taxable profit (₦000) 1,625 9,287 14,270 613
Taxation (₦000) (488) (2,786) (4,281) (184)
Profit after tax (₦000) 1,625 8,799 11,484 (3,668) (184)
Scrap value (₦000) 2,500
After-tax cash flows (₦000) 1,625 8,799 11,484 (1,168) (184)
Discount at 10% 0.909 0.826 0.751 0.683 0.621
Present values (₦000) 1,477 7,268 8,624 (798) (114)

Net present value = (16,457,000 – 20,000,000) = ₦3,543,000, so reject the project.

Additional Information:

  1. The initial investment is ₦20 million.
  2. Selling price: ₦120/unit (current price terms), selling price inflation is 5% per year.
  3. Variable cost: ₦70/unit (current price terms), variable cost inflation is 4% per year.
  4. Fixed overhead costs: ₦5,000,000/year (current price terms), fixed cost inflation is 6% per year.
  5. ₦2,000,000/year of the fixed costs are development costs that have already been incurred and are being recovered by annual charges to the project.
  6. Investment financing is by a ₦20 million loan at a fixed interest rate of 10% per year.
  7. Keke Plc can claim 25% reducing balance tax allowable depreciation on this investment and pays taxation one year in arrears at a rate of 30% per year.
  8. The scrap value of machinery at the end of the four-year project is ₦2,500,000.
  9. The real weighted average cost of capital of Keke is 7% per year.
  10. The general rate of inflation is expected to be 4.7% per year.

Required:

a. Identify and comment on any errors in the investment appraisal prepared by the trainee accountant.
(4 Marks)

b. Prepare a revised calculation of the net present value of the proposed investment project and comment on the project’s acceptability.
(12 Marks)

c. Discuss the problems faced when undertaking investment appraisal in the following areas and comment on how these problems can be overcome:
i. An investment project has several internal rates of return;
ii. The business risk of an investment project is significantly different from the business risk of current operations.
(4 Marks)

(Total: 20 Marks)

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May 2023 – L2 – SA – Q7 – Pricing Decisions

Calculation of minimum price Kola Plc should quote for 400 units of special security padlock keys using learning curve principles.

Kola Plc produces and sells a brand of security padlock keys. Its budget for next year is as follows:

Further research showed that the time taken for the first 50 units was 1,800 hours and the first 100 units took 3,000 hours. The customer is insistent that Kola Plc at least quotes a price for his requirement of 400 units.

Kola Plc is reluctant because the order would divert labour away from the regular padlock keys, and they cannot recruit more staff. If the contract is taken on, the same material would be used, with fixed production overheads of N150,000 and N30,000 administration costs.

Required:

Calculate the minimum price Kola Plc should quote for the 400 units of the special padlock keys.
(Total 15 Marks)

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PM – May 2023 – L2 – SA – Q6 – Cost Management Strategies

Evaluate the financial impact of hiring equipment and assess sensitivity to changing demand.

TK is a theme park. The following information is available for the forthcoming month:

Forecast daily ticket sales and prices:

Ticket Price per ticket Forecast Sales
Pre-booked discounted ticket N580 1,500
Standard ticket N780 8,000
Premium family ticket (admits 4) N3,700 675

The theme park will be open for 30 days in the month.

Costs:

  • Variable costs per person per day are forecast to be N2050.
  • Fixed costs for the month are forecast to be N130,000,000.

Pricing Information:

  • The sales of pre-booked discounted tickets and standard tickets will be restricted to 1,500 and 8,000 per day respectively for the forthcoming month. It is forecast that all of these tickets will be sold.
  • A premium family ticket admits four people to the theme park and allows them to go to the front of the queues in the theme park. The price of a premium family ticket has been set at N3,700 to maximize profit.

Market information shows that for every N100 increase in the selling price of a premium family ticket, the demand would reduce by 25 tickets. For every N100 decrease in the selling price, the demand would increase by 25 tickets.

The theme park has adequate capacity to accommodate any level of demand for premium family tickets. It is assumed that four people would always be admitted on every premium family ticket sold. Sales of the different ticket types are independent of each other.

Equipment Hire:

TK is considering hiring some automated ticket reading equipment for the forthcoming month. The hire of this equipment would increase fixed costs by N5,000,000 for the month. However, variable costs per person would be reduced by 8% during the period of the hire.

Required:

a) Calculate the financial benefit of hiring the equipment for the forthcoming month given its impact on variable cost and the price charged for premium family tickets. (11 Marks)

b) It has now been realized that a competing theme park is planning to offer discounted ticket prices during the forthcoming months. It is thought that this will reduce the demand for TK’s standard tickets. TK will not be able to reduce the price of the standard tickets for the forthcoming month.

Discuss the sensitivity of the decision to hire the equipment to a change in the number of standard tickets sold per day. (Note: Your answer should include the calculation of the sensitivity.) (4 Marks)

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PM – Nov 2021 – L2 – Q3 – Costing Systems and Techniques

Calculate profit-maximizing output using both marginal and throughput accounting principles and compare the approaches for Kahkiri Limited.

The following cost and profitability estimates have been prepared:

Product X 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 the 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)

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PM – Nov 2021 – L2 – Q2 – Decision-Making Techniques

Determine whether to outsource production, calculate indifference price, and evaluate non-financial factors for internal production.

Divine Grace (DG) Limited currently produces “Part-2011” internally but has received an offer from KK Plc to outsource the production. The offer is for 1,000 units at N100 per unit for the next five years. The cost accountant provides the following cost breakdown for internal production of 1,000 units:

Cost Components Amount (₦)
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
Total 122,000

Additional information:

  1. The machine used exclusively for “Part 2011” was acquired last year for ₦120,000 and has a useful life of six years with no residual value.
  2. The machine could be sold today for ₦30,000.
  3. Product and process engineering costs will cease after one year if outsourced.
  4. Rent savings from storage use if “Part-2011” production stops is ₦2,000.
  5. General overheads are fixed and not allocated to “Part-2011” if outsourced.
  6. Assume a required rate of return of 12%.

Required:
a. Should DG Limited outsource “Part 2011”? (10 Marks)
b. What maximum price should KK Plc quote for 1,000 units to make DG indifferent between outsourcing and internal production? (5 Marks)
c. What non-financial factors would favor internal production over outsourcing? (5 Marks)

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MI – Nov 2020 – L1 – SA – Q2 – Cost-Volume-Profit (CVP) Analysis, Break-Even Point

Calculate the total fixed costs using the break-even point and contribution margin.

Given breakeven point of 6,000 units, unit selling price of N90, and unit variable cost of N40, the total fixed cost is:

A. N240,000

B. N300,000

C. N360,000

D. N540,000

E. N600,000

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QTB – MAY 2017 – L1 – SA – Q2 – Mathematics.

A multiple-choice question calculating the variable cost per unit given total and fixed costs.

A company produces 16,000 units of a product. The total cost of producing these units is N60,000. If the fixed cost is N12,000, the variable cost per unit of the output is:

A. N7.00
B. N6.00
C. N5.00
D. N4.00
E. N3.00

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QTB – May 2016 – L1 – SB – Q1b – Mathematics

Draw cost graph, estimate production units, deduce fixed costs and cost equation for an aluminum manufacturing company.

An aluminum manufacturing company in Lagos incurs a daily total cost of N5,000 for one unit of production. To produce 4 units, the company spends N30,000 as its total cost.

Required:

i. Draw a graph to depict the above information.
(3 marks)

ii. Use your graph above to estimate the number of units to be produced to incur a total cost of N70,000.
(2 marks)

iii. Deduce

  • The daily fixed costs of the company from the graph above (1 mark)
  • From the above, obtain the equation representing the company’s activity (3 marks)

iv. Comment on the results obtained in (iii) above.
(1 mark)

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QTB – May 2015 – L1 – SA – Q2 – Mathematics

Deriving the equation of a straight line for cost relation with given production and cost data.

A firm produced 300 units of a commodity at a total cost of N680 and 700 units of the same commodity at a total cost of N1,060. If it is known that the cost relation is a straight line, derive the equation of this line.

A. y = – 0.95x + 395
B. y = 1.05x – 415.79
C. y = 0.95x + 395
D. y = 9.5x + 395
E. y = 1.05x + 419.75

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MI – Nov 2015 – L1 – SA – Q11 – Cost-Volume-Profit Analysis

Calculates the break-even sales value given fixed costs and contribution/sales ratio.

What is the break-even sales in value?
N
Sales:                                                         650,000
Variable costs:                                        390,000
Total fixed costs:                                    120,000

A. N120,000
B. N140,000
C. N255,000
D. N300,000
E. N650,000

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FM – May 2024 – L3 – SB – Q2 – Investment Appraisal Techniques

Evaluate a proposed investment for Keke Plc, identify errors in the initial appraisal, recalculate NPV, and discuss IRR and business risk issues.

The following draft appraisal of a proposed investment project has been prepared for the Finance Director of Keke Plc (KP) by a trainee accountant. The project is consistent with the current business operations of KP.

Year 1 2 3 4 5
Sales (units/yr) 250,000 400,000 500,000 250,000
Contribution (₦000) 13,300 21,280 26,600 13,300
Fixed costs (₦000) (5,300) (5,618) (5,955) (6,312)
Depreciation (₦000) (4,375) (4,375) (4,375) (4,375)
Interest payments (₦000) (2,000) (2,000) (2,000) (2,000)
Taxable profit (₦000) 1,625 9,287 14,270 613
Taxation (₦000) (488) (2,786) (4,281) (184)
Profit after tax (₦000) 1,625 8,799 11,484 (3,668) (184)
Scrap value (₦000) 2,500
After-tax cash flows (₦000) 1,625 8,799 11,484 (1,168) (184)
Discount at 10% 0.909 0.826 0.751 0.683 0.621
Present values (₦000) 1,477 7,268 8,624 (798) (114)

Net present value = (16,457,000 – 20,000,000) = ₦3,543,000, so reject the project.

Additional Information:

  1. The initial investment is ₦20 million.
  2. Selling price: ₦120/unit (current price terms), selling price inflation is 5% per year.
  3. Variable cost: ₦70/unit (current price terms), variable cost inflation is 4% per year.
  4. Fixed overhead costs: ₦5,000,000/year (current price terms), fixed cost inflation is 6% per year.
  5. ₦2,000,000/year of the fixed costs are development costs that have already been incurred and are being recovered by annual charges to the project.
  6. Investment financing is by a ₦20 million loan at a fixed interest rate of 10% per year.
  7. Keke Plc can claim 25% reducing balance tax allowable depreciation on this investment and pays taxation one year in arrears at a rate of 30% per year.
  8. The scrap value of machinery at the end of the four-year project is ₦2,500,000.
  9. The real weighted average cost of capital of Keke is 7% per year.
  10. The general rate of inflation is expected to be 4.7% per year.

Required:

a. Identify and comment on any errors in the investment appraisal prepared by the trainee accountant.
(4 Marks)

b. Prepare a revised calculation of the net present value of the proposed investment project and comment on the project’s acceptability.
(12 Marks)

c. Discuss the problems faced when undertaking investment appraisal in the following areas and comment on how these problems can be overcome:
i. An investment project has several internal rates of return;
ii. The business risk of an investment project is significantly different from the business risk of current operations.
(4 Marks)

(Total: 20 Marks)

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May 2023 – L2 – SA – Q7 – Pricing Decisions

Calculation of minimum price Kola Plc should quote for 400 units of special security padlock keys using learning curve principles.

Kola Plc produces and sells a brand of security padlock keys. Its budget for next year is as follows:

Further research showed that the time taken for the first 50 units was 1,800 hours and the first 100 units took 3,000 hours. The customer is insistent that Kola Plc at least quotes a price for his requirement of 400 units.

Kola Plc is reluctant because the order would divert labour away from the regular padlock keys, and they cannot recruit more staff. If the contract is taken on, the same material would be used, with fixed production overheads of N150,000 and N30,000 administration costs.

Required:

Calculate the minimum price Kola Plc should quote for the 400 units of the special padlock keys.
(Total 15 Marks)

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PM – May 2023 – L2 – SA – Q6 – Cost Management Strategies

Evaluate the financial impact of hiring equipment and assess sensitivity to changing demand.

TK is a theme park. The following information is available for the forthcoming month:

Forecast daily ticket sales and prices:

Ticket Price per ticket Forecast Sales
Pre-booked discounted ticket N580 1,500
Standard ticket N780 8,000
Premium family ticket (admits 4) N3,700 675

The theme park will be open for 30 days in the month.

Costs:

  • Variable costs per person per day are forecast to be N2050.
  • Fixed costs for the month are forecast to be N130,000,000.

Pricing Information:

  • The sales of pre-booked discounted tickets and standard tickets will be restricted to 1,500 and 8,000 per day respectively for the forthcoming month. It is forecast that all of these tickets will be sold.
  • A premium family ticket admits four people to the theme park and allows them to go to the front of the queues in the theme park. The price of a premium family ticket has been set at N3,700 to maximize profit.

Market information shows that for every N100 increase in the selling price of a premium family ticket, the demand would reduce by 25 tickets. For every N100 decrease in the selling price, the demand would increase by 25 tickets.

The theme park has adequate capacity to accommodate any level of demand for premium family tickets. It is assumed that four people would always be admitted on every premium family ticket sold. Sales of the different ticket types are independent of each other.

Equipment Hire:

TK is considering hiring some automated ticket reading equipment for the forthcoming month. The hire of this equipment would increase fixed costs by N5,000,000 for the month. However, variable costs per person would be reduced by 8% during the period of the hire.

Required:

a) Calculate the financial benefit of hiring the equipment for the forthcoming month given its impact on variable cost and the price charged for premium family tickets. (11 Marks)

b) It has now been realized that a competing theme park is planning to offer discounted ticket prices during the forthcoming months. It is thought that this will reduce the demand for TK’s standard tickets. TK will not be able to reduce the price of the standard tickets for the forthcoming month.

Discuss the sensitivity of the decision to hire the equipment to a change in the number of standard tickets sold per day. (Note: Your answer should include the calculation of the sensitivity.) (4 Marks)

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PM – Nov 2021 – L2 – Q3 – Costing Systems and Techniques

Calculate profit-maximizing output using both marginal and throughput accounting principles and compare the approaches for Kahkiri Limited.

The following cost and profitability estimates have been prepared:

Product X 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 the 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)

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PM – Nov 2021 – L2 – Q2 – Decision-Making Techniques

Determine whether to outsource production, calculate indifference price, and evaluate non-financial factors for internal production.

Divine Grace (DG) Limited currently produces “Part-2011” internally but has received an offer from KK Plc to outsource the production. The offer is for 1,000 units at N100 per unit for the next five years. The cost accountant provides the following cost breakdown for internal production of 1,000 units:

Cost Components Amount (₦)
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
Total 122,000

Additional information:

  1. The machine used exclusively for “Part 2011” was acquired last year for ₦120,000 and has a useful life of six years with no residual value.
  2. The machine could be sold today for ₦30,000.
  3. Product and process engineering costs will cease after one year if outsourced.
  4. Rent savings from storage use if “Part-2011” production stops is ₦2,000.
  5. General overheads are fixed and not allocated to “Part-2011” if outsourced.
  6. Assume a required rate of return of 12%.

Required:
a. Should DG Limited outsource “Part 2011”? (10 Marks)
b. What maximum price should KK Plc quote for 1,000 units to make DG indifferent between outsourcing and internal production? (5 Marks)
c. What non-financial factors would favor internal production over outsourcing? (5 Marks)

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MI – Nov 2020 – L1 – SA – Q2 – Cost-Volume-Profit (CVP) Analysis, Break-Even Point

Calculate the total fixed costs using the break-even point and contribution margin.

Given breakeven point of 6,000 units, unit selling price of N90, and unit variable cost of N40, the total fixed cost is:

A. N240,000

B. N300,000

C. N360,000

D. N540,000

E. N600,000

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QTB – MAY 2017 – L1 – SA – Q2 – Mathematics.

A multiple-choice question calculating the variable cost per unit given total and fixed costs.

A company produces 16,000 units of a product. The total cost of producing these units is N60,000. If the fixed cost is N12,000, the variable cost per unit of the output is:

A. N7.00
B. N6.00
C. N5.00
D. N4.00
E. N3.00

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QTB – May 2016 – L1 – SB – Q1b – Mathematics

Draw cost graph, estimate production units, deduce fixed costs and cost equation for an aluminum manufacturing company.

An aluminum manufacturing company in Lagos incurs a daily total cost of N5,000 for one unit of production. To produce 4 units, the company spends N30,000 as its total cost.

Required:

i. Draw a graph to depict the above information.
(3 marks)

ii. Use your graph above to estimate the number of units to be produced to incur a total cost of N70,000.
(2 marks)

iii. Deduce

  • The daily fixed costs of the company from the graph above (1 mark)
  • From the above, obtain the equation representing the company’s activity (3 marks)

iv. Comment on the results obtained in (iii) above.
(1 mark)

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QTB – May 2015 – L1 – SA – Q2 – Mathematics

Deriving the equation of a straight line for cost relation with given production and cost data.

A firm produced 300 units of a commodity at a total cost of N680 and 700 units of the same commodity at a total cost of N1,060. If it is known that the cost relation is a straight line, derive the equation of this line.

A. y = – 0.95x + 395
B. y = 1.05x – 415.79
C. y = 0.95x + 395
D. y = 9.5x + 395
E. y = 1.05x + 419.75

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MI – Nov 2015 – L1 – SA – Q11 – Cost-Volume-Profit Analysis

Calculates the break-even sales value given fixed costs and contribution/sales ratio.

What is the break-even sales in value?
N
Sales:                                                         650,000
Variable costs:                                        390,000
Total fixed costs:                                    120,000

A. N120,000
B. N140,000
C. N255,000
D. N300,000
E. N650,000

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