Question Tag: Investment Appraisal

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  • 5 Marks

SCS – Nov 2024 – L3 – Q4a – Capital Budgeting Framework

Explanation of the five key elements in the capital budgeting framework for investment appraisal.

One of the Board members, Dr. Halimatu Sadia, has expressed concerns regarding Dr. Ayimadu Baffour’s consistent failure to conduct investment appraisals and capital budgeting when making long-term investment decisions.

Required:

Advise Dr. Ayimadu Baffour on the capital budgeting and strategic planning framework used for conducting investment appraisals by briefly outlining the FIVE key elements of the framework.

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  • 15 Marks

MA – Nov 2024 – L2 – Q4a – Cost-Benefit Analysis (CBA) for Public Sector Investment

Evaluation of a healthcare capital investment project using cost-benefit analysis.

The Faith Specialist Hospital (FSH) is a special government health facility under the Ghana Health Service (GHS) that provides specialized medical scans for complex health conditions. Management of FSH is planning to install an ultra-modern imaging machine that will improve the quality and accuracy of scans. The new installation will require an additional capital investment of GH¢420,000. The GHS policy on capital projects is that all new projects should achieve an internal rate of return of at least 30%.

Forecast demand for the services of this new machine over its five-year useful life are as follows:

Year Number of Scans
1 1,250
2 2,700
3 3,500
4 1,400
5 675

Projected charge per scan: GH¢650
Variable costs per scan:

  • Consumables: GH¢330
  • Labour and overheads: GH¢176

Operating fixed costs per year: GH¢264,000 (includes depreciation on a straight-line basis)

Apart from the financial forecasts above, it is also envisaged that the project will produce non-financial benefits in several forms. Although it is hard to place a precise value on this, expert opinion suggests that this could approximate GH¢70,000 per annum.

Required:

i) Using cost-benefit analysis (CBA) computations, evaluate if the project should be undertaken.

ii) Enumerate TWO limitations of evaluating projects in the public sector.

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  • 10 Marks

MA – Nov 2024 – L2- Q1b – Return on Investment (ROI)

Computation of ROI for different one-off transactions and advice on whether they should be undertaken.

Dondo LTD is a manufacturing company based in Nsawam. The following data represents the budgeted performance of Dondo LTD for the year 2025:

Amount (GH¢’000)
Profit 660
Plant and equipment (net of depreciation) 1,560
Working capital 750

Dondo LTD is considering undertaking the following separate one-off transactions:

  1. A cash discount of GH¢16,000 will be offered to its customers annually. This will, on average, reduce the trade receivables figure by GH¢60,000.
  2. An increase in average inventories by GH¢80,000 throughout the year. The increased inventory level is expected to increase sales, resulting in GH¢30,000 increased contribution per annum.
  3. At the beginning of the year, the company will buy a plant worth GH¢360,000. This is expected to reduce operating costs by GH¢105,000. The plant has a five-year useful life with nil residual value.

Required:

i) Compute the ROI for each of the one-off transactions above. 
ii) Advise Dondo LTD on whether the above one-off transactions should be carried out.

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  • 20 Marks

FM – Nov 2024 – L2 – Q2 – Investment Appraisal

Calculate the NPV of launching two new products, Agbui and Loloi, and advise on the investment decision.

Santrofi PLC is a publisher that wants to expand its market share in magazine publications. The company plans to launch two new products, Agbui and Loloi, at the start of January 2025, which it believes will each have a 4-year life span. The sales mix is assumed to be fixed. The information below is relevant:

  1. Expected sales volumes (units) for Agbui:
Year 1 2 3 4
Volume 30,000 55,000 50,000 15,000

  1. The first year’s selling price and direct material costs for each Agbui unit will be GH¢31 and GH¢12, respectively. On the other hand, the company expects to sell 25% more Loloi units than Agbui. Both selling price and direct material cost of Loloi are expected to be 25% less than Agbui’s.

  2. Incremental fixed production costs are expected to be GH¢500,000 in the first year of operation, apportioned based on revenue. Advertising costs will be GH¢250,000 in the first year of operation and then GH¢125,000 per year for the following two years.

  3. To produce the two products, an investment of GH¢1 million in machinery and GH¢500,000 in working capital will be needed, payable at the start of the period. Santrofi PLC expects to recover GH¢600,000 from the sale of machinery at the end of the project life. Investment in machinery attracts a 100% first-year tax-allowable depreciation. The company has sufficient profit to take full advantage of the allowance in Year 1. For the purpose of reporting accounting profit, the company depreciates machinery on a four-year straight-line basis.

  4. Revenue and costs are expected to be affected by inflation after the first year as follows:

    • Selling price: 3% a year
    • Direct material cost: 3% a year
    • Fixed production cost: 5% a year

  5. The company’s real discount rate is 10% for investment appraisal. Average inflation is deemed to be 3%. The applicable corporate tax rate is 25%.

Required:
Calculate the Net Present Value (NPV) of the proposed investment in the two products and advise the company on its investment appraisal.

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  • 30 Marks

FM – May 2016 – L3 – Q1 – Investment Appraisal Techniques

Calculation of Adjusted Present Value (APV) for a proposed project and analysis of its application in investment appraisal.

Katam Pie has adopted a strategy of diversification into many different industries in order to reduce risk for the company’s shareholders. This has resulted in frequent changes in the company’s gearing level and widely fluctuating risks of individual investments. Presently, the company has a target debt-to-asset ratio i.e., D/(E + D) of 25%, an equity beta of 2.25, and a pre-tax cost of debt of 5%.

On January 1, 2016, Katam Plc with a year-end of December 31, is considering the purchase of a new machine costing N750million, which would enable it to diversify into a new line of business. The new business will generate sales of N522.50million in the first year, growing at 4.5% p.a. A constant contribution margin ratio of 40% can be expected throughout the 15-year life of the project. Incremental fixed cash costs will be N84.32million in the first year, growing by 5.4% p.a.

A regional development bank has offered a 10-year loan of 3% interest to finance 40% of the cost of the machine. The balance of 60% will be financed equally by a 10-year commercial loan (with annual interest of 5%) and a fresh round of equity. The issue cost on the commercial loan will be 1%, and the new equity will incur an issue cost of 3%. All issue costs are on the gross amount raised for the respective capital. Issue costs on debt are allowed for tax purposes.

A firm that is already in the business of the new project has a gearing ratio of 20% (debt to asset) and a cost of equity of 18.1%. Its corporate debt is risk-free.

The tax rate is 30% payable in the year the profit is made. Tax depreciation of 20% on cost is available on the new machine. Katam Pie has a weighted average cost of capital of 14% and a cost of equity of 17.5%. The risk-free rate is 4%, and the market risk premium is 7%.

You are required to:

  1. Estimate the Adjusted Present Value (APV) and advise whether the project should be accepted? (21 Marks)
  2. Explain:
    i. The circumstances under which the use of APV is appropriate. (5 Marks)
    ii. The major advantages and limitations of the use of the APV method. (4 Marks)

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  • 20 Marks

FM – Nov 2016 – L3 – SB – Q4 – Investment Appraisal Techniques

Evaluate Gugi Plc.'s proposed investment in a foreign factory, considering costs, revenues, tax, and exchange rate impacts.

Gugi Plc. is a highly successful manufacturing company operating in Nigeria. In addition to sales within Nigeria, the company also exports to a foreign country (with currency F$) along the ECOWAS sub-region. The export sales generate annual net cash inflow of ₦50,000,000. Gugi Plc. is now considering whether to establish a factory in the foreign country and stop exporting from Nigeria to the country. The project is expected to cost F$1 billion, including F$200million for working capital.

A suitable existing factory has been located, and production could commence immediately. A payment of F$950million would be required immediately, with the remainder payable at the end of year one. The following additional information is available:

  • Annual production and sales in units: 110,000
  • Unit selling price: F$5,000
  • Unit variable cost: F$2,000
  • Unit royalty payable to Gugi Plc: ₦300
  • Incremental annual cash fixed costs: F$50million

Assume that the above cash items will remain constant throughout the expected life of the project of 4 years. At the end of year 4, it is estimated that the net realisable value of the non-current assets will be F$1.40billion.

It is the policy of the company to remit the maximum funds possible to the parent (i.e., Gugi Plc.) at the end of each year. Assume that there are no legal complications to prevent this.

If the new factory is set up and export to the foreign country is stopped, it is expected that new export markets of a similar worth in North Africa could replace the existing exports.

Production in Nigeria is at full capacity, and there are no plans for further capacity expansion.

Tax on the company’s profits is at a rate of 40% in both countries, payable one year in arrears. A double taxation agreement exists between Nigeria and the foreign country, and no double taxation is expected to arise. No withholding tax is levied on royalties payable from the foreign country to Nigeria.

Tax allowable “depreciation” is at a rate of 25% on a straight-line basis on all non-current assets.

The Directors of Gugi Plc. believe that the appropriate risk-adjusted cost of capital for the project is 13%.

Annual inflation rates in Nigeria and the foreign country are currently 5.6% and 10%, respectively. These rates are expected to remain constant in the foreseeable future. The current spot exchange rate is F$1.60 = N1. You may assume that the exchange rate reflects the purchasing power parity theorem.

Required:
a. Evaluate the proposed investment from the viewpoint of Gugi Plc.
Notes:
i. Show all workings and calculations to the nearest million.
ii. State all reasonable assumptions. (18 Marks)

b. State TWO further information and analysis that might be useful in the evaluation of this project?

(2 Marks)

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  • 15 Marks

FM – May 2017 – L3 – Q7 – Investment Appraisal Techniques

Provide background on the Capital Asset Pricing Model (CAPM) and its use in project evaluation.

ou were recently appointed by a major manufacturing company as the senior accountant at one of the divisions of the company, which is located in Makurdi. You have received the following memorandum from the divisional manager:

“I tried to see you today, but you were busy with the auditors.
I have to go to a meeting at the head office on Friday about the new project. We sent to the head office its projected cash flow figures before you arrived. Apparently, one of the head office finance people has discounted our figures, using a rate which was calculated from the Capital Asset Pricing Model. I do not know why they are discounting the figures, because inflation is predicted to be negligible over the next few years. I think that this is all a ploy to stop us from going ahead with the project and let another division have the cash.
I looked up Capital Asset Pricing Model in a finance book which was lying in your office, but I could not make a head or tail of it, and anyway it all seemed to be about buying shares and nothing about our project.
We always use payback for the smaller projects which we do not have to refer to head office. I am going to argue for it now because the project has a payback of less than five years, which is our normal yardstick.
I am very keen to go ahead with the project because I feel that it will secure the medium-term future of our division.
I will be tied up all day tomorrow, so again I will not be able to see you. Could you please make a few notes for me which I can read on the way on Friday morning? I want to know how the Capital Asset Pricing Model is supposed to work, plus any other things which you feel I ought to know for the meeting. I do not want to look like a fool or lose the project because they blind me with science.
As you have probably discovered, I do not know much about finance, so please do not use any technical jargon or complicated maths.”

Required:
Prepare notes for the divisional manager which provide helpful background for the meeting.

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  • 30 Marks

FM – Nov 2021 – L3 – Q1 – Strategic Cost Management

Analyze costs and investment requirements for Femi Appliances Ltd's new motor vehicle vacuum cleaner product line.

Femi Appliances Limited (FAL) is a Nigerian-based manufacturer of household appliances with many distribution centers across various locations in Nigeria and along the ECOWAS sub-region. FAL is now considering the development of a new motor vehicle vacuum cleaner – VC4.

The product can be introduced quickly and has an expected life of four years, after which it may be replaced with a more efficient model. Costs associated with the product are estimated as follows:

Direct Costs (per unit):

  • Labour:
    • 3.5 skilled labour hours at ₦500 per hour
    • 4 unskilled labour hours at ₦300 per hour
  • Materials:
    • 6 kilos of material Z at ₦146 per kilo
    • Three units of component P at ₦480 per unit
    • One unit of component Q at ₦640
  • Other variable costs: ₦210 per unit

Indirect Costs:

  • Apportionment of management salaries: ₦10,500,000 per year
  • Tax allowable depreciation of machinery: ₦21,000,000 per year
  • Selling expenses (excluding salaries): ₦16,600,000 per year
  • Apportionment of head office costs: ₦5,000,000 per year
  • Rental of buildings: ₦10,000,000 per year
  • Annual interest charges: ₦10,400,000
  • Other annual overheads: ₦7,000,000 (includes building rates ₦2,000,000)

If the new product is introduced, it will be manufactured in an existing factory, having no effect on rates payable. The factory could be rented out for ₦12,000,000 per year to another company if the product is not introduced.

New machinery costing ₦86,000,000 will be required, depreciated on a straight-line basis over four years with a salvage value of ₦2,000,000. The machinery will be financed by a four-year fixed-rate bank loan at 12% interest per year. Additional working capital requirements may be ignored.

The new product will require two additional managers at an annual gross cost of ₦2,500,000 each, while one current manager (₦2,000,000) will be transferred and replaced by a deputy manager at ₦1,700,000 per year. Material Z totaling 70,000 kilos is already in inventory, valued at ₦9,900,000.

FAL will utilize the existing advertising campaigns for distribution centers to also market the new product, saving approximately ₦5,000,000 per year in advertising expenses.

The unit price of the product in the first year will be ₦11,000, with projected demand as follows:

  • Year 1: 12,000 units
  • Year 2: 17,500 units
  • Year 3: 18,000 units
  • Year 4: 18,500 units

An inflation rate of 5% per year is anticipated, with prices rising accordingly. Wage costs are expected to increase by 7% per year, and other costs (including rent) by 5% annually. No price or cost increases are expected in the first year of production.

Income tax is set at 35%, payable in the year the profit occurs. Assume all sales and costs are on a cash basis and occur at the end of the year, except for the initial purchase of machinery, which would take place immediately. No inventory will be held at the end of any year.

Required:

a. Calculate the expected internal rate of return (IRR) associated with the manufacture of VC4. Show all workings to the nearest ₦million. (19 Marks)

b. i. Explain what is meant by an asset beta and how it differs from an equity beta. (2 Marks)
ii. Given the company’s equity beta is 1.2, the market return is 15%, and the risk-free rate is 8%, discuss whether introducing the product is advisable. (4 Marks)

c. The company is concerned about a potential increase in corporate tax rates. Advise the directors by how much that the tax rate would have to change before the project is not financially viable. A discount rate of 17% per year may be assumed for part (c). (5 Marks)

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  • 20 Marks

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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  • 30 Marks

FM – May 2018 – L3 – SA – Q1 – Investment Appraisal Techniques

Evaluate the NPV of Plateau Plc.'s project, assess sensitivity, discuss political risk, and explore real options for the project.

Plateau Plc. (PT) is a Nigerian company that manufactures and sells innovative products. Following favourable market research that cost N4,000,000, PT has developed a new product. It plans to set up a production facility in Kano, although its board had contemplated setting up the facility in an overseas country. The project will have a life of four years.

The selling price of the new product will be N5,900 per unit, with sales in the first year to December 31, 2019, expected to be 120,000 units, increasing by 5% per annum thereafter. Relevant direct labour and material costs are expected to be N3,400 per unit, and incremental fixed production costs are expected to be N60 million per annum. The selling price and costs are stated in December 31, 2018 prices and are expected to increase at a rate of 3% per annum. Research and development costs to December 31 will amount to N25 million.

Investment in working capital will be N30 million on December 31, 2018, and this will increase in line with sales volumes and inflation. Working capital will be fully recoverable on December 31, 2022.

The company will need to rent a factory during the life of the project. Annual rent of N20 million will be payable in advance on December 31 each year and will not increase over the life of the project.

Plant and machinery will cost N1 billion on December 31, 2018. The plant and machinery are expected to have a resale value of N300 million (at December 31, 2022, prices) at the end of the project. The plant and machinery will attract 20% (reducing balance) capital allowances in the year of expenditure and in every subsequent year of ownership by the company, except in the final year when there will be a balancing allowance or charge.

Assume a corporate tax rate of 20% per annum in the foreseeable future and that tax flows arise in the same year as the cash flows which gave rise to them.

The directors are concerned by rumours in the industry of research by a rival company into a much cheaper alternative product. However, the rumours suggest that this research will take another year to complete, and if successful, it will take a further year before the alternative product comes on the market.

An appropriate weighted average cost of capital for the project is 10% per annum.

Required:

a. Calculate, using money cash flows, the NPV of the project on December 31, 2018, and advise the company whether to proceed with the project or not.
(15 Marks)

b. Calculate and interpret the sensitivity of the project to a change in:

  • (i) The annual rent of the factory (2 Marks)
  • (ii) The weighted average cost of capital (4 Marks)

c. If the board of PT decided to set up the manufacturing facility overseas, advise the board on how political risk could change the value of the project and how it might limit its effects. (4 Marks)

d. Discuss briefly FOUR real options available to PT in relation to the new project. (5 Marks)

(Total 30 Marks)

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  • 20 Marks

FM – Nov 2018 – L3 – Q2 – Financing Decisions and Capital Markets

Evaluate financing options for machine acquisition using present value and compare traditional financing with Islamic finance.

Tamilore Limited (TL) is an agro-based firm, specializing in yam and rice production in Benue State of Nigeria. One of the harvesters is due to be replaced on November 30, 2018, the last day of TL’s current financial year. An investment appraisal exercise has recently been completed which confirmed that it is financially beneficial to replace the machine at this point. TL is now considering how best to finance the acquisition of the harvester to be replaced. TL is already highly geared.

A government development agency has offered the following two alternative methods of financing the machine:

Alternative 1
A loan of N49,200,000 at 6% interest rate to buy the machine on November 30, 2018. If this option is selected, the machine will be depreciated on a straight-line basis over its estimated useful life of 5 years.

Alternative 2
Enter into a finance lease. This will involve payment of annual rental of N12 million with the first payment due on November 30, 2019. The lease payments will be for the entire estimated useful life of the machine, which is 5 years, after which ownership will pass to TL without further payment.

Other information

(i) Whether leased or purchased outright, maintenance would remain the responsibility of TL and would be N450,000 payable annually in advance.
(ii) TL is liable to tax at a rate of 25%, payable annually at the end of the year in which the tax charge or tax saving arises.
(iii) TL is able to claim capital allowances on the full capital cost of the machine in equal installments over the first four years of the machine.
(iv) Assume that TL has sufficient taxable profits to benefit from any savings arising therefrom.
(v) All workings in N’000.

Required:

a. Show that the implied interest rate in the lease agreement is 7%. (3 Marks)

b. Advise, using present value method, whether Tamilore Limited should borrow to buy the machine or lease it. (12 Marks)

c. Instead of lease financing, one director has suggested an equivalent Islamic finance.

i. Explain briefly the principles of Islamic finance. (2 Marks)

ii. Explain three main advantages of Islamic finance. (3 Marks)

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  • 20 Marks

FM – Nov 2023 – L3 – SB – Q3 – Investment Appraisal Techniques

Calculate and compare NPV for two proposals involving equipment purchase vs. existing machinery for contract fulfillment.

Niko Plc, a large equity-financed company, has a year-end of December 31. It must fulfill a contract in Abuja and has two proposals to choose from: Proposal A (purchasing new machinery) and Proposal B (using existing machinery).

Proposal A:

  • Outlay of N312,500,000 on December 31, 2023, for new plant and machinery.
  • Projected net cash inflows (before tax, in nominal terms):
    • 2024: N200,000,000
    • 2025: N275,000,000
    • 2026: N350,000,000
  • Scrap value: N25,000,000 at end of 2026.

Proposal B:

  • Uses a machine with a net realizable value of N250 million, with an alternative sale value of N300 million on January 1, 2025, if unused.
  • Cash inflows (in nominal terms):
    • 2024: N350,000,000
    • 2025: N350,000,000
  • Labour costs:
    • 2024: N100 million (replacement staff cost of N110 million)
    • 2025: N108 million (replacement staff cost of N118.8 million)
  • Machine residual value: N0 at project end in 2025.

Additional Details:

  • Working capital: 10% of year-end cash inflows, released upon project completion.
  • Expected annual inflation rates: 2024 – 10%, 2025 – 8%, 2026 – 6%, 2027 – 5%.
  • Real cost of capital: 10%.
  • Income tax: 40%, payable one year after the accounting period.
  • Capital allowances: 20% reducing balance for Proposal A’s plant and machinery.

Required:

  • a. Calculate the NPV at December 31, 2023, for each proposal. (17 Marks)
  • b. State any reservations about making an investment decision based on these NPV figures. (3 Marks)

Answer:

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  • 20 Marks

FM – Nov 2022 – L3 – Q4 – Investment Appraisal Techniques

Evaluate the decision to invest in an innovative beverage using real options and the Black-Scholes model.

Tayo Kayode (TK) is a highly successful beverage company listed on the Nigerian stock market. Its products are particularly attractive to the younger generation.

Eko Laboratory (EL) has developed an innovative synthetic, alcoholic beverage – the Younky.

It is believed that the product, if manufactured commercially, will be popular among the youths.

TK has been offered a license to produce the Younky on the condition that it commences production within the next twelve months. In the last board meeting, the Marketing Director, Kehinde Kay, presented the following preliminary evaluation of the project.

Kehinde recommended that the project should thus be rejected.

However, the Finance Director (FD), Ben Okon, argued that conventional NPV analysis undervalues projects with high uncertainty as the value of embedded real options is often ignored. He suggested that the possibility of delaying the project for up to twelve months effectively gives TK a call option on development and that if market forecasts improve over the next year, then the company can benefit. To get the ‘right answer,’ he concluded, option values must be incorporated.

The current long-term government bond yield is 5%. The expected standard deviation of future cash flows is estimated to be 35%.

Required:

a. Comment on the views of the Marketing and Finance Directors. (5 Marks)
b. Using the Black-Scholes option pricing model for a European call option, estimate the value of the option to commercially develop and market the Younky. Provide a recommendation as to whether or not TK should manufacture the Younky. (10 Marks)
c. Comment on modeling the possibility of delay as a European call option. (5 Marks)

(Total 20 Marks)

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  • 15 Marks

PM – May 2015 – L2 – SB – Q5 – Balanced Scorecard

Evaluate the use of the Balanced Scorecard and analyze investment decisions for Carossi Limited using ROI and RI.

CAROSSI Limited makes quality wooden products such as tables, chairs, benches, and doors. Historically, the company has used mainly financial performance measures to assess the performance of the company as a whole. The company’s Chief Executive Officer has just been informed of the ‘Balanced Scorecard Approach’ and is eager to learn more.

CAROSSI Limited has two Divisions X and Y, each with its own cost and revenue streams. Each Division is managed by a divisional manager who has the power to make all investment decisions within the Division. The cost of capital for both Divisions is 15 percent. Historically, investment decisions have been made by calculating the Return on Investment (ROI) of any opportunities, and presently, the return on investment of each Division is 18 percent.

A recently appointed manager for Division X strongly feels that using Residual Income (RI) to make investment decisions would result in better ‘goal congruence’ throughout the organisation.

Investment Details for Each Division:

Division X Division Y
Capital required for investment (₦m) 88.2 46.0
Revenue generated from investment (₦m) 46.4 28.1
Net profit margin (%) 30 35

The company is seeking to maximise shareholders’ wealth.

Required: a. Describe the Balanced Scorecard Approach to performance measurement. (8 Marks)
b. Determine both the return on investment and residual income of the new investment for each of the two divisions. Comment on these results and take into consideration the manager’s views about residual income. (7 Marks)

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  • 20 Marks

FM – May 2015 – L2 – SB – Q3 – Cost-Volume-Profit (CVP) Analysis

Evaluate Pakex's investment proposal using Residual Income and ROCE, including alternative proposal analysis for decision-making.

Pakex is a division of an automobile group that has five years remaining on a leased premises in which it sells self-assembled motorcycles. The management is proposing an investment of ₦48 million on immediate improvements to the interior of the premises in order to stimulate sales by creating a more effective selling environment. The following information is available:

(i) The expected increase in revenue following the improvements is ₦40 million per annum. The average contribution to sales ratio is expected to be 40%.

(ii) The cost of capital is 16% and the division has a target Return on Capital Employed of 20% based on the net book value of the investment at the beginning of the year.

(iii) At the end of the five-year period, the premises improvements will have a NIL residual value.

(iv) The management staff turnover at Pakex division is high. The division’s investment decisions and management performance measurement are currently based on the figures for the first year of the proposal.

In addition to the above information, there is an alternative proposal that suggests a forecast of the increase in revenue per annum from the premises improvements as follows:

Year 1 2 3 4 5
Increase in Revenue 56 40 40 24 16

All other factors are expected to remain the same.

Required: a. Prepare a summary of the statement of the management’s investment proposal for years 1 to 5 showing Residual Income and Return on Capital Employed for each year using the straight-line depreciation method. (10 Marks)
b. Comment on the use of the figures from the Statement in (a) above as a decision-making and management performance measure. (4 Marks)
c. Calculate the Residual Income and Return on Capital Employed for year 1 using the alternative proposal. (6 Marks)

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  • 20 Marks

BMF – Nov 2020 – L1 – SB – Q5 – Investment Decisions

Evaluate the investment project using IRR and advise management on the project feasibility.

Uhuru Nigeria Limited wants to buy a new item of equipment which will be used to improve service delivery to its customers. Using the internal rate of return (IRR) method of investment appraisal, you are required to evaluate the project and advise the management of the company. Estimated cash flows from the project are as provided below:

Year Cash Flow (N)
0 (400,000)
1 140,000
2 150,000
3 170,000
4 190,000

The expected minimum required rate of return of the company is fixed at 25%.

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  • 30 Marks

PM – Nov 2015 – L2 – Q1 – Decision-Making Techniques

Comparison of two machine purchase options - ZIGMA 5000 and DELPHA 7000 using profitability statement, cash flows, payback period and NPV.

The Board of Directors of Danda Company Limited is proposing the purchase of either of two machines that have been proved adequate for the production of an engineering product “Gee”. The two machines are: ZIGMA 5,000 and DELPHA 7,000. Production in the first year would be affected by installation challenges and inadequate understanding of the operating instructions of the machines.

Information available from the production profile of the two machines are as shown below:

ZIGMA 5000:

Cost of machine is N16,500,000 while the life span is 6 years.

DELPHA 7000:

Cost of plant is N18,300,000 while the life span is 6 years.

Other information relevant to the company’s operations and administration are:

(i) Selling price per unit is N300.

(ii) Variable cost per unit is N150.

(iii) Annual fixed overhead exclusive of depreciation is N1,200,000.

(iv) Company depreciation policy is straight line basis.

(v) The budgeted production capacity is 100,000 units.

(vi) No opening or closing inventory is envisaged.

(vii) All sales are for cash.

(viii) All costs are for cash.

Required:

a. Prepare the SIX year profitability statement for the two machines. (6 Marks)

b. Prepare the SIX year cash flow statement for the two machines. (6 Marks)

c. What is the payback period for the two machines? (7 Marks)

d. Determine the Net Present Value (NPV) of the two machines if the acceptable discount rate for the company is 15%. (7 Marks)

e. Which of the two machines should the company acquire? (4 Marks)

 

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  • 15 Marks

PSAF – May 2024 – L2 – SB – Q6 – Government Expenditure

Evaluation of investment projects using Profitability Index.

a. Oyigbo Local Government is set to improve its internally generated revenue by venturing into the construction of an animal feedmill, which will cost N15 million. The mill, when constructed, is projected to generate a net cash inflow of N3.8 million annually and the useful life is 6 years. The cost of borrowing from a commercial bank for this purpose is 12%.

Required:
Advise the Chairman of Oyigbo Local Government whether or not to undertake the project using the Profitability Index (PI) technique of investment appraisal.

The cumulative discount factor formula to use is:

where  discount rate,  number of years. (10 Marks)

b. Identify THREE advantages and TWO disadvantages of the profitability index as a technique for project appraisal. (5 Marks)

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  • 20 Marks

PM – May 2022 – L2 – SA – Q3 – Performance Evaluation

Evaluate Uzochuks' financial performance using ARR and EVA, and assess the NPV of a solar project.

Uzochuks Nigeria Limited is a company established four years ago to produce medical equipment. The income statement and statement of financial position for 2019 and 2020 are as follows:

(ii) Economic depreciation is assessed to be N50.5million in 2020. Economic depreciation includes any appropriate amortisation adjustments. In previous years, it can be assumed that economic and accounting depreciation were the same.
(iii) Tax is the cash paid in the current year (N16 million) and an adjustment of N2 million for deferred tax provisions. There was no deferred tax balance prior to 2020.
(iv) The provision for doubtful debts was N2.5million on the 2020 statement of financial position.
(v) Research and development is not capitalised in the accounts. It relates to a new project that will be developed over five years and is expected to be of long-term benefit to the company. 2020 is the first year of this project.
(vi) The company had a non-capitalised leased assets of N18million in January 2020. These assets are not subjected to depreciation.
(vii) Cost of capital of Uzochuks:
Equity 18%
Debt (pre-tax) 6%
(viii) Capital structure of Uzochuks:
Equity 60%
Debt 40%
(ix) The company had the opportunity to invest in a solar project that will require the procurement of an equipment worth N3million in January 2020 and run for a period of 5 years with a salvage value of N0.50million, generating a stable net cash flow of N0.85 million. The applicable cost of capital is the associated weighted average cost of capital of the company.

Required:
a. i. Compute and evaluate the company’s performance using the average rate of return (ARR). (4 Marks)
ii. Compute and evaluate the company’s performance using the economic value added (EVA) parameter. (9 Marks)
b. Calculate the net present value (NPV) of a solar project that will require the procurement of equipment worth N3 million in January 2020, generating a stable net cash flow of N0.85 million annually for five years with a salvage value of N0.50 million. The applicable cost of capital is the associated weighted average cost of capital of the company. (7 Marks)

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  • 10 Marks

PM – May 2022 – L2 – SA – Q1B – Costing Systems and Techniques

Appraisal of a one-off order outside normal operations with relevant cost considerations.

The company is considering the viability of investing in a one-off order outside its normal budgeted routine operation. The Management Accountant is requested to appraise the procurement and sale of some useful medical equipment. The following cost estimate has been prepared by a junior accountant:

  1. The steel is regularly used and has a current stock value of N50 per square meter. There are currently 400 square meters in stock. The steel is readily available at a price of N55 per square meter.
  2. The brass fittings would have to be bought specifically for the job. A supplier has quoted N800 for the fittings required.
  3. The skilled labor is currently employed by the company and paid at the rate of N80 per hour. If this job were undertaken, it will be necessary to either work 100 hours overtime which would be paid at time plus one half (N120 per hour), or hire additional labor at N100 per hour.
  4. The company has sufficient unused capacity in terms of general fixed overheads. The junior accountant has made no allocation for fixed overheads.
  5. The company’s policy is to add 20% to the production cost as an allowance against administrative costs associated with the jobs accepted.
  6. The standard profit added by the company as part of its pricing strategy is N150.

Required:

  1. Prepare, on a relevant cost basis, the lowest cost estimate that could be used as the basis for a quotation. Explain briefly your reasons for using each of the values in your estimates. (6 Marks)
  2. There may be a possibility of repeat orders from your company which would occupy part of the normal production capacity. What factors need to be considered before quoting for this order? (4 Marks)

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