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IA – OCT 2022 – L1 – Q6 – Depreciation Concepts and Calculations

Explain depreciation-related concepts and compute depreciation and net book value for solar equipment using straight-line method.

a. Briefly explain the following concepts used in Accounting:

i. Depreciation

ii. Depreciable amount

iii. Net book value

iv. Straight line depreciation

v. Reducing balance depreciation

(10 marks)

b. The Managing Director of Agana Limited located at the Manya Krobo Municipality is uncomfortable with the impasse between the Municipality and the Electricity Company of Ghana. As such she decided to install solar equipment for her company. She purchased the equipment on 4th July 2021 at a cost of GH¢ 520,000. The estimated useful life of the asset is 10 years with a residual value of GH¢ 35,000. The company’s policy is to provide for a full year’s depreciation regardless of the date of purchase. You are required to:

i. Compute the rate of depreciation for the solar equipment using the straight-line method (2 marks)

ii. Compute the depreciation for the year 2021 using the straight-line method (4 marks)

iii. Compute the Net present value of the asset as at 31st December 2021 (4 marks)

(Total: 20 marks)

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QMDM – APR 2024 – L2 – Q6 – Rural Bank Investment Proposals NPV

The management of a Rural Bank must decide between two investment proposals using Net Discounted Value (NPV) calculations at a 14% discount rate, explain the term, compute NPVs, and advise on selection.

The Management of a Rural Bank must decide between two proposals, on the basis of the following information:

Proposal Investment Now Net Cash Inflow at the End of 1991 1992 1993
A GHS 80,000 GHS 95,400 GHS 39,400 GHS 12,000
B GHS 100,000 GHS 35,000 GHS 58,000 GHS 80,000

Assume that on Projects of this type of the company can earn 14 percent per annum.                                                                                     (a) Explain briefly the term Net Discount Value in relation to the projects.                                                                                                      (b) Calculate the Net Discounted Value of Proposal A.                                                                                                                                          (c) Calculate the Net Discounted Value of Proposal B.                                                                                                                                            (d) Using the values in (a) and (b), advise Management regarding the proposal that should be selected.

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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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FM – Nov 2014 – L3 – SA – Q1 – Investment Appraisal Techniques

Evaluate the financial feasibility of a cement production project using cost of capital, NPV, and MIRR methods.

AK Plc is a company listed on the Nigerian Stock Exchange. It is involved in property development and sales.

The company currently imports more than 60% of its cement requirements. At a recent meeting of the board of directors, a decision was taken to establish a division for the production of cement in Ore, Ondo State. If the division is set up and the cement production goes ahead, output from the division will be sold to AK Plc and external customers at market price. For planning purposes, it has been decided that the financial viability of the project over the next five years should be determined.

The sum of N2 billion will be required. The sum of N500 million will be spent to acquire an existing factory considered suitable for the project. The balance of N1.5 billion will be applied for the procurement and installation of essential plant and equipment. Tax allowance can be claimed on plant and equipment at a uniform amount over 5 years with NIL scrap value.

A total of N20 million has been spent on various surveys (market, technical, financial, etc.) to date out of which N10 million has been paid. The balance of N10 million is due for payment at the end of year 1.

Production of cement for the next five years is projected as follows:

Year Bags
1 500,000
2 600,000
3 650,000
4 800,000
5 700,000

A bag of cement sells currently for N2,000 in the open market. This price is expected to increase at the rate of 5% per annum. Variable cost is now N1,000 per bag. This will increase at 4% per annum. Fixed overhead costs will be N50 million at current prices but will rise by 8% per annum. Apportioned head office charges of N25 million at current prices will rise by 10% per annum. Fifty per cent (50%) of the total initial outlay of N2 billion is to be funded with a loan from a Federal Government Development Bank at a concessionary fixed interest rate of 8%, payable at the end of each year. Half of the loan will be repaid at the end of year 3 while the balance will be paid at the end of year 5. The project will require a working capital of 10% of annual revenue, and this should be available at the beginning of each year.

The company uses a current Weighted Average Cost of Capital (WACC) of 11% to appraise all capital projects. The asset beta of the company is 1.2, equity beta is 1.6, risk-free rate is 5%, while the market risk premium is 7%.

The Finance Director is of the view that it is not appropriate to use the existing WACC to appraise the new project. He has identified a listed company that currently produces cement and packaged fruit drinks. The company has the following financial statistics:

  • Equity beta: 1.82
  • Debt beta: 0.4
  • Debt/Equity ratio: 40%
  • 60% of the market value of the company is attributed to cement production, while 40% of the value is attributed to the fruit drinks division.
  • The fruit drinks division has an equity beta of 0.8.

The new project is expected to move AK Plc to the target Debt/Equity ratio of 30%. Tax rate is 25% for the two companies and is paid in the year profit is made.

Required:

a. Compute the appropriate cost of capital that AK Plc should use to appraise the cement project and state why you consider this rate more appropriate than the existing WACC of 11%.

  • Note: Your final cost of capital should be rounded up to the nearest whole number. State any assumptions made. (12 Marks)

b. Compute the Net Present Value (NPV) and Modified Internal Rate of Return (MIRR) of the project, assuming a cost of capital of 13%.

  • (Work to the nearest N million)(16 Marks)

c. Recommend whether the project should be accepted or not, using both NPV and MIRR methods. (2 Marks)

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FM – Nov 2016 – L3 – Q4 – International Financial Management

Evaluate a foreign investment decision for Gugi Plc, including cash flow, tax, and exchange rate considerations.

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 export from Nigeria to the country. The project is expected to cost F$1 billion, including F$200 million for working capital.

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

Details Figures
Annual production and sales 110,000 units
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$50 million

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 realizable value of the non-current assets will be F$1.40 billion.

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 of 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 = ₦1. 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:

  • Show all workings and calculations to the nearest million.
  • State all reasonable assumptions. (18 Marks)

(b) State two further information and analysis that might be useful in evaluating this project. (2 Marks)

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PSAF – Nov 2023 – L2 – Q4 – Performance Measurement in the Public Sector

Calculate the NPV, IRR, and ROCE for FFTA’s investment in a second rail coach to meet increased passenger demand.

Fakafiki Federal Transport Agency (FFTA) introduced a new rail coach, Luxury DV, to its range last year. The coach is used to transport passengers, addressing a serious bottleneck in the transportation process, with a maximum capacity to transport 5,000 passengers per annum.

The Luxury DV product has been a huge success, and consequently, all passengers showing interest were accommodated. Based on feedback from high-net-worth customers, the marketing department has prepared the following demand forecast for future years:

Year 1 2 3 4
Demand (Number of passengers) 7,000 9,000 11,000 4,000

The Directors of FFTA are now considering investing in a second coach that will allow the company to satisfy the increasing demand. The following information relating to this investment proposal has now been prepared:

  • Initial investment: N350,000
  • Maximum additional passengers: 5,000 passengers
  • Current fare: N450 per passenger
  • Variable cost of operation: N200 per passenger
  • Fixed operating costs: N175,000

If tickets issued remain at 5,000, the current fare would continue for the remainder of the coach’s life. However, if passenger traffic is increased, the fare is expected to fall to N400 per passenger for all tickets sold. This fare adjustment will last for the remaining life of the coach.

No terminal value or coach scrap value is expected at the end of four years, when Luxury DV’s passenger service is planned to end. For investment appraisal purposes, FFTA uses a nominal discount rate of 10% per year and a target return on capital employed of 20% per year. Ignore taxation.

Required: Using an incremental approach, calculate the following values for the investment proposal of the second coach.

a. Net present value. (10 Marks)
b. Internal rate of return. (4 Marks)
c. Return on capital employed (accounting rate of return) based on initial investment. (6 Marks)

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PM – Nov 2020 – L2 – Q6 – Divisional Performance Measurement

Evaluate the performance of Lapez's divisions using ROCE and other performance measures and calculate the NPV of the proposed investment.

Lapez operates a chain of health and fitness clubs, located in state capitals in Nigeria. For easy administration, the clubs are structured into two divisions, the Northern and the Southern divisions. Each division has a General Manager who is responsible for revenue, cost, and investment decisions at their clubs. A bonus is awarded each year to the General Manager that generates the higher return on capital employed (ROCE).

The following summary information shows the results of the divisions for the past two years:

Year Ending 31st December Northern (2018) Southern (2018) Northern (2017) Southern (2017)
Revenue (N000) 2,700 3,720 2,850 3,375
Staff Costs (N000) 1,725 2,145 1,770 1,965
Other Operating Costs (N000) 690 1,012 750 930
Operating Profit (N000) 285 563 330 480
Capital Employed (N000) 750 1,350 1,125 1,800
Avg. Number of Members 6,880 9,425 7,050 8,320

Notes:

  1. Revenue is largely comprised of income from membership fees.
  2. Lapez uses the net book value of non-current assets as the capital employed. The capital employed figures in the table are the net book value of non-current assets for each division at the end of the year.
  3. Non-current assets are depreciated on a straight-line basis over five years with no residual value. No additions or disposals of non-current assets occurred in 2017 and 2018.
  4. Both divisions have a cost of capital of 15%.
  5. Ignore taxation and inflation.

However, investigations by Lapez’s management revealed that at the end of 2017, the General Manager of the Southern division rejected the opportunity to acquire a new building and equipment to set up a new fitness club at a total cost of ₦1,200,000. The building could have been purchased for ₦525,000, and it is assumed that the building would retain its value for five years, with no depreciation charged. The equipment would have cost ₦675,000 and would have been depreciated over five years according to Lapez’s policy. The investment would have occurred on January 1, 2018.

The forecasted annual profit and number of members for the proposed new club were as follows:

Description N000
Revenue 1,012.5
Staff Costs (556.5)
Other Operating Costs (incl. depreciation) (240.0)
Operating Profit 216.0
Avg. Number of Members 2,100

It is Lapez’s policy that investments of this type be appraised over five years using net present value (NPV).

Required:

a. Discuss the relative performance of the two divisions using Return on Capital Employed (ROCE) and TWO other performance measures that you think are appropriate. (15 Marks)

b. Calculate the net present value (NPV) of the investment. Ignore taxation and inflation. (5 Marks)

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PSAF – Nov 2021 – L2 – Q7 – Government Accounting Concepts and Principles

Calculate NPV for projects, profitability index, and discuss ranking differences.

Otunba Local Government wishes to boost its revenue generation and six possible capital investments have been identified. However, the Local Government only has access to a total of N6,200,000. The projects may not be postponed until a future period, and it is unlikely that similar investment opportunities will occur.

Expected net cash flows are:

Projects A and E are mutually exclusive while all the projects are believed to be of similar risk to the Local Government’s existing capital investments. Any surplus funds may be invested in the money market to earn a return of 9% per year. The money market may be assumed to be an efficient market. The Local Government’s cost of capital is 12% per year.

Required:

(a) Calculate the expected net present value for each project, and rank the projects. (8 Marks)
(b) Assuming the projects are divisible, calculate the Profitability Index for each project and rank the projects to determine how the money would be best invested. (6 Marks)
(c) State why the rankings in (b) differ from that in (a) above. (1 Mark)

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PM – Nov 2021 – L2 – Q5 – Decision-Making Techniques

Calculate and compare the expected net present value of two projects under uncertainty.

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 ₦14,000,000 for B. The projects would have a five-year life and the estimated annual cash flows are as follows:

Year Project A (N) Project A Outflows (N) Project B (N) Project B Outflows (N)
1 6,000,000 3,000,000 10,000,000 5,000,000
2 8,000,000 4,000,000 9,000,000 4,000,000
3 10,000,000 4,000,000 8,000,000 3,000,000
4 9,000,000 3,000,000 8,000,000 3,000,000
5 6,000,000 3,000,000 4,000,000 2,000,000

The company’s cost of capital is 10%. Several factors could impact the inflows:

  • Factor 1: 20% probability of government measures reducing inflows by 25%.
  • Factor 2: 30% probability of a competitor entering the market, reducing inflows by 10%.
  • Factor 3: 40% probability of stronger-than-expected demand, increasing inflows by 5%.

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)

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BMF – MAY 2015 – L1 – SA – Q17 – Investment Decisions

Understanding the decision rule for investment acceptance based on NPV.

The decision rule for the acceptance of investment using Net Present Value (NPV) method is, accept if the:

A. NPV ≥ 0
B. NPV > 0
C. NPV < 0
D. NPV ≤ 0
E. NPV = 0

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MA – May 2021 – L2 – Q4a – Discounted cash flow

Evaluate two machines using Net Present Value and Discounted Payback Period methods to determine the preferred investment.

a) Oseikrom Ventures is considering minimising its production cost through automation of its production system. Two machines are being considered to save cost. The estimated data for the two machines available on the market are as follows:

Machine A (GH¢’000) Machine B (GH¢’000)
Initial cost (Year 0) 120,000 120,000
Residual value (Year 5) 20,000 30,000
Working capital requirement (Year 0) 15,000 10,000

Annual cost savings:

Year 1 2 3 4 5
Machine A 40,000 40,000 40,000 20,000 20,000
Machine B 20,000 30,000 50,000 70,000 20,000

The company’s cost of capital is 10%.

Required:
Using the following methods, which machine should be selected?
i) Net Present Value (8 marks)
ii) Discounted Payback Period (4 marks)

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CSEG – May 2019 – L2 – Q1 – Analysing the external environment | Analysing the internal environment

Analyze the waste management sector in Ghana, recommend an organizational structure for Omega Group Ltd, conduct portfolio analysis, calculate NPV for a recycling project, and suggest waste management measures.

Waste Management in Ghana

Ghana has been battling with domestic and industrial waste for many years and successive governments made it one of the topmost priorities to address the menace. However, all the well-intended measures adopted in the past have not yielded significant result in addressing the waste menace. The current government which assumed office in January 2017 created a new ministry, Ministry of Sanitation and Water Resources, in a bid to give new impetus to the waste management agenda. Two years on, the general public verdict is that much has not changed as heaps of waste can be seen in every nook and cranny of the major cities in the country. The President has the vision to make Accra, the nation’s capital city, the cleanest within the sub-region but the vision is deemed to be far from realisation. It is estimated that Ghana generates 1.7 million tonnes of waste per year and Accra alone generates 3000 tonnes of waste per day.

It also appears that the state has lost the battle on the desecration of the country’s major beaches with litter and open defecation in abundance. The other national monuments such as colonial forts and castles along the coastal belts have not been spared. These areas are major tourist attraction centers and the negative financial consequences cannot be overemphasized. A popular river, River Odorna, which runs through the national capital has been silted with plastic and organic waste, displacing the water which runs through it and terminate in South Atlantic Ocean. The nation has not recovered from the twin disaster of flood and fire which claimed over 100 lives when River Odorna was overflooded. This resulted in nearby petrol filling station being flooded and with oil displaced fire from unknown source that triggered massive fire killing all the people who had taken refuge there.

The current national policy on waste management is based on decentralisation to the various Metropolitan, Municipal and District Assemblies (MMDAs) who are the sub-national organs responsible for administration of various urban, peri-urban and towns in the country. The MMDAs manage waste within their jurisdiction by signing contracts with various privately-owned waste management companies and to some limited extent MMDAs-owned trucks which has proven to be less effective with frequent break downs of those trucks. The waste so collected is disposed at various landfill sites constructed by the MMDAs but most of those sites are now full and are turning into mountains of waste. The hosting communities of landfill sites are up in arms for their closure as health and environmental negative impact takes a heavy toll on the residents. There is currently pending a plethora of law suits by affected residents to get the courts to force MMDAs to shut down the landfill sites.

The citizens engage in indiscriminate disposal of waste everywhere in the country. The culverts, drainage systems and streets are suffocating under the pressure of waste especially that of plastic. Rubbish are thrown onto the streets from moving commercial and private vehicles alike. At various lorry stations where dustbins are provided, drivers’ mates dispose waste to the floor where cars are parked. Citizens build up wastes in front of their houses day time and by the following morning those waste have vanished. It has been established that a number of residents are beginning to dispose waste into gutters and shoulders of major roads at night. Although, all MMDAs have punitive fines and sanctions in their bye-laws nobody seems to suffer any consequences engaging in littering.

Waste Management Sector

The waste management sector has a number of actors including a few large companies with large concessions and a lot of trucks for waste collection and disposal, MMDAs with their internal waste collection units, small companies with few trucks and hence limited concessions, and recently individuals with tricycles, without concessions, have emerged to cater for unserved new residential areas springing up at the outskirts of the cities. The large companies have a fleet of garbage trucks with capacity to collect huge tonnes of waste within their concession areas. Thus, the large companies are better resourced and able to do mass collection of waste. Many small companies with few garbage trucks are actively involved in waste management effort and are generally granted concession over smaller areas. Despite the collective effort by large and small companies as well as MMDAs, large amount of waste remains uncollected and in fact the amount of waste generated is on the rise. This situation has led to individuals using tricycles to collect waste from households for a fee.

The waste management companies get paid in two ways – directly by households and companies that have been provided waste bins and containers and indirectly by MMDAs for the picking of waste containers provided at vantage points for use by market centres, lorry stations and households that may not subscribe to direct service. Payments to waste companies are persistently in several months of arears with serious implications on their financial positions. This situation has resulted in irregular collection of pool waste containers with attendant consequence of mounting waste in urban centres.

The Group and Company

One of the major large companies operating in the waste sector is Waste Tiger Ltd and is part of Omega Group Ltd (OGL) of Companies. The other subsidiaries under OGL include Sewerage Systems and Medical Waste Treatment Ltd, GCD Diamond Ltd, JB Plant Pool Ltd, ACB Bank Ltd and Recycling & Compost Plant. A brief description of the business of each of the subsidiaries follows:

Waste Tiger Ltd (WTL) – is involved in collection of solid domestic and commercial waste in various MMDAs across the country.

Sewerage Systems and Medical Waste Treatment Ltd (SSMWT) – handle liquid and medical related waste across the major cities.

GCD Diamond Ltd (GDL) – a mining company involved in extraction and processing of raw diamond which was added to the group 4 years ago.

JB Plant Pool Ltd (JPPL) – leading supplier of heavy duty and earth moving plant and equipment, buses and renders total service support for all products sold in case of faults or breakdowns.

ACB Bank Ltd (ABL) – is an indigenous financial institution providing retail, corporate and treasury services to diverse clients.

Recycling & Compost Plant (RCP) Ltd – is involve in recycling of waste, export of waste and production of fertilizer for local market.

The Group CEO, Mr. Joseph Quainoo is not enthused at the rising cost of the group and its subsidiaries due to duplication of functional areas within each subsidiary. He wants to reconfigure the existing organisational structure in which there will be dual line of reporting and responsibilities. The CEO wants a structure that combines functional specialisms (marketing, finance, Human resource and Information technology) and the subsidiaries and by so doing eliminates subsidiary-specific functional areas. Again, the structure should result in keeping subsidiaries largely independent but with necessary intervention with respect to functional activities.

The Group CEO wants to do performance analysis of the various subsidiaries based on the extent of cash generated and used by respective subsidiaries. The group Chief Finance Officer (CFO) was tasked and has generated a summary of cash inflows and cash outflows for each subsidiary. The cash flow information is summarised in Exhibit 1 below:

The Group CEO wants a portfolio matrix constructed to analyse the various subsidiaries and advice on strategic option to pursue for each subsidiary so as to inform resource allocation within the group.

Recycling & Compost Plant (RCP) Ltd

RCP Ltd is the latest subsidiary incorporated and commenced business/operations in January 2018. The idea to start RCP Ltd followed from a waste management conference Mr. Joseph Quainoo attended in China and his encounter with the CEO, Chun Juan, of the largest waste management company in China. At the said private meeting Chun shared the idea of how lucrative recycling of waste is becoming, the fact that China is importing waste and how fertilizer is being produced from waste. Armed with this information and the absence of waste recycling in Ghana, Mr. Quainoo decided to venture into that segment of waste management.

RCP Ltd has three major lines of business – production of organic fertilizer from organic waste, plastic from plastic waste to be sold to plastic processing companies and finally process some organic and plastic waste for export to China. The establishment of RCP Ltd is the first significant intervention to change traditional use of landfill sites in waste management to waste recycling which is more sustainable and also generate economic activities. Although, various governments have always proposed to set up a recycling plant but that never materialised. Perhaps, the inertia and apparent lack of commitment by governments to build recycling plant is because it is capital intensive. The company has a combined permanent and contract workforce of 570 and as business picks up, more hands would be engaged. Kindly refer to exhibit 2 for the data that was used in performing investment appraisal. The current capacity of the company only allows it to process 30% of total waste generated in the capital city. The vision of Mr. Quainoo to is to expand to all the major cities in the country.

Exhibit 2

The plant and equipment and all related cost necessary to make it operational has been pegged at GH¢1,500,000. This recycling plant has an expected life of five years, after which it would have to be replaced and will have no residual value at the end of this period. The plant can produce and process a maximum of 75,000 tonnes of waste per year over five years. The revenue per processed ton is GH¢110. To ensure that the maximum output is achieved, the company will spend GH¢250,000 a year in maintaining the plant over the next five years.

Based on the maximum output of 75,000 tonnes per year, the following expected costs per ton excluding the maintenance costs above are: waste and treatment material GH¢32.5, labour GH¢27.5 and overhead cost GH¢42.5. The following information is also relevant:

The waste and treatment materials figure above include a charge of GH¢10 for treatment (chemicals) materials that is currently being stocked by one of the subsidiaries in the group and can be used for waste treatment. Each ton of waste requires 1,000 liters of the chemicals and the charge is based on the original cost of GH¢5 per 500 liters for the chemicals. It is a material that is currently used in one of the other subsidiary and the cost of replacing the chemical is GH¢7.50 per 500 liters. The chemical could easily be sold at a price of GH¢6.25 per 500 liters.

The labour cost relate to payments made to employees that are directly involved in recycling the waste materials. The labour cost include some employees who have no work at present and if there were no production, they will be made redundant immediately at a cost of GH¢1,150,000. However, if production takes place, the employees are likely to find another work at the end of the five-year period and so no redundancy costs will be incurred.

The overhead cost includes a depreciation charge for the new machinery and equipment. The policy of the business is to depreciate non-current assets in equal instalments over their expected life. All other overheads included in the above figure are incurred in recycling.

The company uses a cost of capital of 20% to assess projects. The management of the company is interested in determining the net present value of the recycling plant and equipment at the end of the five-year period.

Required: a) Assess the legal, economic and social factors in the environment of the waste management sector in Ghana. (6 marks)

b) Recommend appropriate organisational design that will help the group coordinate and control activities among the subsidiaries. Your recommendations should include THREE (3) benefits and THREE (3) demerits associated with that design. Support your answer with appropriate diagram. (10 marks)

c) Using an appropriate portfolio matrix, explain the various categories of businesses within the Omega Group Ltd and advise the CEO of appropriate portfolio strategy (or strategies) to adopt for each subsidiary. Justify your choice of a particular portfolio matrix and categorization of the subsidiaries based on your selected matrix. (8 marks)

d) Using information provided on recycling plant and equipment, determine the net present value of the project after five years. (12 marks)

e) Recommend FOUR (4) practical and tangible measures government can adopt to deal with the waste menace in the country. (4 marks)

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FM – May 2021 – L2 – Q4a – Introduction to investment appraisal

Evaluate the financial viability of an investment using NPV, IRR, and explain the concept of sensitivity analysis.

CVD Ghana Ltd, which is into the production and sale of COVID-19 vaccine in Ghana and abroad, plans to buy a new machine to expand the scope of its operations due to increased demand in both the local and the international markets.

The cost of the machine is GH¢24,000,000 and has a useful life of five years. The machine will require additional investment in working capital of GH¢2,700,000 at the beginning of the first year of operations. At the end of year five, the machine will be sold for scrap, with the scrap value expected to be 5% of the machine’s initial purchase cost. The company has no intention to replace the machine. Production and sales from the new machine are expected to be 1,000,000 packs per year.

The selling price per pack and variable cost per pack are as follows:

Year Selling Price per Pack (GH¢) Variable Cost per Pack (GH¢)
1 48 33
2 48 33
3 55 38
4 55 38
5 60 42

It is also estimated that incremental fixed costs arising from the machine’s operations will be GH¢4,800,000 per year. CVD Ghana Ltd has an after-tax cost of capital of 20%, which it uses as a discount rate in its investment appraisal. The company pays corporate tax at an annual rate of 25% per year. Capital allowance should be ignored.

Required:

i) Compute the Net Present Value of this project and advise CVD Ghana Ltd whether the investment is financially viable. (8 marks)

ii) Calculate the Internal Rate of Return of investing in the machine and advise whether it is financially viable. (5 marks)

iii) Explain the meaning of the term “sensitivity analysis” in the context of investment. (2 marks)

 

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FM – NOV 2018 – L2 – Q3 – Discounted cash flow | Introduction to Investment Appraisal

Involves calculating the net present value (NPV) of a project and discussing reasons for different interest rates and hedging techniques.

a) Sevista Ltd is evaluating the purchase of a new machine to produce product SEP, which has a short product life-cycle due to rapidly changing technology. The machine is expected to cost GH¢1 million. Production and sales of product SEP are forecasted to be as follows:

Year Production and sales (units/year)
1 35,000
2 53,000
3 75,000
4 36,000

The selling price of product SEP (in current price terms) will be GH¢20 per unit, while the variable cost of the product (in current price terms) will be GH¢12 per unit. Selling price inflation is expected to be 4% per year and variable cost inflation is expected to be 5% per year. No increase in existing fixed costs is expected since Sevista Ltd has spare capacity in both space and labour terms. Producing and selling product SEP will call for increased investment in working capital.

Analysis of historical levels of working capital within Sevista Ltd indicates that at the start of each year, investment in working capital for product SEP will need to be 7% of sales revenue for that year. Sevista Ltd pays tax of 25% per year in the year in which the taxable profit occurs. The new machine is expected to have no scrap value at the end of the four-year period. Sevista Ltd uses a nominal (money terms) after-tax cost of capital of 12% for investment appraisal purposes.

Required:

i) Determine the net present value of the proposed investment in product SEP.
(13 marks)

ii) Advise whether the project should be undertaken.
(2 marks)

b) Fluctuations in interest rates are a major concern to entrepreneurs and business executives. It has been observed that interest rates on loans vary according to the term of the loan. Besides, interest rates vary over time for varied reasons.

Required:

i) Explain THREE (3) reasons why interest rates on loans may differ for different maturities as explained by the term structure of interest rates.
(6 marks)

ii) Suggest FOUR (4) ways of hedging the company’s exposure to interest rate risk.
(4 marks)

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FM – MAY 2019 – L2 – Q3a – Introduction to Investment Appraisal

Calculate and compare various investment appraisal metrics (ARR, NPV, IRR, Payback Period) for two mutually exclusive projects.

ASANTA Ghana Ltd is considering investing in the following projects which are considered mutually exclusive:

PROJECT GO PROJECT COME
Annual cash inflows GH¢1,000,000 GH¢2,000,000
Cost of Machine GH¢2,500,000 GH¢6,000,000
Scrap value of Machine GH¢250,000 GH¢1,000,000
Expected life of the Project 5 years 5 years

ASANTA Ghana Ltd uses the straight line method of depreciation. However, tax-allowable depreciation is 30% on a straight-line basis. The cost of capital for the company is 20% per annum.

Required:

  1. Calculate the Accounting Rate of Return (ARR) for each project. (4 marks)
  2. Calculate the Net Present Value (NPV) for each project. (4 marks)
  3. Compute the Internal Rate of Return (IRR) for each project. (4 marks)
  4. Compute the Payback period for each project. (3 marks)

(Note: In each of the above, advise the Company on which of the projects to implement or undertake.)

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