Question Tag: Net Present Value

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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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AFM – Nov 2016 – L3 – Q3b – Discounted cash flow techniques

Calculate the Net Present Value (NPV) of a new product investment project considering real terms and inflation adjustments.

A company plans to invest GH¢7 million in a new product. Net contribution over the next five years is expected to be GH¢4.2 million per annum in real terms. Marketing expenditure of GH¢1.4 million per annum will also be needed. Expenditure of GH¢1.3 million per annum will be required to replace existing assets, and additional investment in working capital, equivalent to 10% of contribution, will be needed at the start of each year. Working capital will be released at the end of the project. The following inflation forecasts are made for the next five years:

  • Contribution: 8%
  • Marketing: 3%
  • Assets: 4%
  • General prices: 4.70%

The real cost of capital is 6%. All cash flows are in real terms. Ignore tax.

Required:
Calculate the Net Present Value (NPV) of the project and appraise whether it is a worthwhile project.

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AFM – May 2019 – L3 – Q2a – Discounted cash flow techniques

Compare leasing and buying options for a machine and recommend the most viable choice based on net present value analysis.

Rahim Ltd requires a machine for 5 years. There are two alternatives, either to take it on lease or buy basis. The company is reluctant to invest an initial amount for the project and approaches their bankers. The bankers are ready to finance 100% of its initial required amount at a 15% rate of interest for any of the alternatives.

Under lease option, an upfront security deposit of GH¢5,000,000 is payable to the lessor, which is equal to the cost of the machine. Out of which, 40% shall be adjusted equally against annual lease rent. At the end of life of the machine, the expected scrap value will be at book value after providing depreciation at 20% on written down value basis.

Under the buying option, loan repayment is in equal annual installments of the principal amount, which is equal to annual lease rent charges. However, in the case of bank finance for the lease option, repayment of principal amount equal to lease rent is adjusted every year, and the balance at the end of 5th year.

Assume income tax rate is 30%, interest is payable at the end of every year, and discount rate at 15% p.a. The following discounting factors are given:

Year Factor
1 0.8696
2 0.7562
3 0.6576
4 0.5718
5 0.4972

Required:
Recommend the most viable option on the basis of net present values.

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AFM – Nov 2015 – L3 – Q1 – International investment and financing decisions

Evaluate the financial viability of a Nigerian subsidiary using NPV and MIRR and assess the associated risks and mitigation strategies.

Ahomka Fruity Ltd (Ahomka), a listed company based in Ghana, produces fresh pineapple juice packaged in bottles and cans. The company has been exporting to Nigeria for many years, earning an annual after-tax contribution of NGN5 million. The company wants to establish a wholly-owned subsidiary in Nigeria to produce and sell its pineapple juice products over there. If a subsidiary is established and operated in Nigeria, Ahomka will cease exporting pineapple juice products to Nigeria. However, Ahomka plans to sell some raw materials and services to the subsidiary for cash.

Acquiring a suitable premise, required plant, and equipment, and installing the machinery will take the next two years to complete. Production and sales will commence in the third year and indefinitely.

Capital expenditure is estimated to be NGN10 million at the start of the first year and NGN5 million at the start of the second year. Ahomka will have to make working capital of NGN2 million available at the start of the third year, and this is expected to increase to NGN2.5 million at the start of the fifth year.

The proposed Nigerian subsidiary will produce the following pre-tax operating cash flows at the end of each of the first three years of production and sales:

Production/sales year Pre-tax operating cash flows (NGN ‘000)
1 2,800
2 4,500
3 5,200

The tax rate in Nigeria is 30%, and tax is paid in the same year the profit is earned. Capital allowance is granted on capital expenditure at the end of each year of production/sale at the rate of 30% on a reducing balance basis.

After the first three years of production and sales, post-tax incremental net operating cash flows will grow at a rate of 4% every year to perpetuity.

Ahomka plans to finance the project entirely with loans raised from Ghana at an after-tax cost of 18%. The maximum post-tax operating cash flows possible will be remitted to the parent company at the end of each year to help pay off the loans. Nigeria does not restrict fund remittance to a parent company outside of Nigeria, and there are no taxes on funds remittance.

The Naira-Ghana Cedi exchange rate is currently NGN55.40/GHS. Annual inflation is expected to be 18% in Ghana and 20% in Nigeria.

Required:
(a) Perform a financial appraisal of the project using the net present value and the modified internal rate of return (MIRR) methods, and recommend whether Ahomka should proceed with the project. (10 marks)

(b) Present a paper to the Board of Directors of Ahomka, which advises on potential risks the company might be exposed to if it proceeds with the Nigerian subsidiary project, and strategies the company could employ to avoid or manage the risks.
(Note: Professional marks will be awarded for presentation) (10 marks)

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MA – Nov 2017 – L2 – Q1a – Discounted cash flow

Calculate the net present value of a new software game investment project and provide commentary on the findings.

a) Agyasco Ltd, a software company has developed a new game “Lando” which it plans to launch in the near future. Sales volumes, production volumes and selling prices for “Lando” over its four-year life are expected to be as follows:

Financial information on “Lando” for the first year of production is as follows: Direct material cost GH¢5.4 per game Other variable production cost GH¢6.00 per game Fixed costs GH¢4.00 per game.

Advertising costs to simulate demand are expected to be GH¢650,000 in the first year of production and GH¢100,000 in the second year of production. No advertising costs are expected in the third and fourth years of production. Fixed costs represent incremental cash fixed production overheads. “Lando” will be produced on a new production machine costing GH¢800,000. Although this production machine is expected to have a useful life of up to 10 years, Government legislation allows Agyasco Ltd to claim the capital cost of the machine against the manufacture of a single product. Capital allowances will therefore be claimed on a straight-line basis over four years.

Agyasco Ltd pays tax on profit at a rate of 30% per annum and tax liabilities are settled in the year in which they arise. Agyasco Ltd uses an after-tax discount rate of 10% when appraising new capital investments. Ignore inflation.

Required: Calculate the net present value of the proposed investment and comment on your findings.

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MA – May 2018 – L2 – Q1a – Discounted cash flow

Compare the NPV of maintaining old equipment versus buying new equipment to advise management on the better option.

The Maintenance Manager of Prudence Ltd insists that management should maintain an old equipment that had been used for 5 years and is fully depreciated rather than buy a new one. The old equipment has a current operating cost of GH¢53,000.00 per annum. The operating cost of the equipment is expected to increase at 5% every year over the next four years, with a sale value of GH¢6,500.00 in the fifth year.

The Maintenance Manager has proposed, that a new system with enhanced technology to reduce operating cost to GH¢32,000.00 for the next three years and GH¢33,600.00 for the fourth and fifth years be introduced. The new equipment will cost GH¢60,000.00 and when introduced, a redundancy cost of GH¢25,000.00 will be paid, with the old equipment sold for GH¢12,000.00. The sale value of the new equipment will be GH¢10,200.00 after its five years’ useful life.

Required:
Using Net Present Value (NPV) method of capital appraisal with 20% cost of capital, advise management on which option Prudence Ltd should go for.

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MA – July 2023 – L2 – Q4a – Discounted cash flow

Calculate the cost of capital for a delivery van investment using IRR, and compare payback and discounted cash flow methods of investment appraisal.

a) Johnson & Co is a medium sized company that is engaged in delivery services. As a result
of the recent increase in the demand for services, the Managing Director (MD) is planning
for the future business performance. The MD plans to acquire a delivery van at the cost of
GH¢85,000. The expected net cash flow per year are as follows:

The Sales Manager has indicated to the MD that he will recoup his investment in less than four years and for that reason, it’s a good investment.

The Management Accountant has however drawn his attention to the fact that the manager has not factored time value of money and the cost of capital in his analysis. He could not however suggest the cost of capital since financial institutions are charging different interest rates.

Required:

i) Calculate the cost of capital when used would result in a break-even, when the useful life of the van is five years with residual value of GH¢8,500. (11 marks)

ii) Using TWO (2) points each, compare and contrast the payback method of investment appraisal and the discounted cash flow method.

(4 marks)

 

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MA – Nov 2018 – L2 – Q1a – Discounted Cash Flow

Assess the financial desirability of producing designer ceramic tiles by calculating the net present value in real terms.

Mawuena Ltd, a manufacturer of building materials, has recently suffered falling demand due to economic recession, and thus has unutilised capacity. Management has identified an opportunity to produce designer ceramic tiles for the home improvement market. It has already paid GH¢1.5 million for development expenditure, market research, and feasibility studies.

A new machine, with a useful life of four years, could be bought at GH¢6.5 million, payable immediately. The scrap value of the machine is expected to be 5% of the cost, recoverable a year after the end of the project.

The research and development division has prepared the following demand forecast:

Year 1 2 3 4
Demand (units) 110,000 130,000 150,000 145,000

The selling price is GH¢50 per box (at today’s price). Estimated operating costs, largely based on experience, are as follows:

Cost per box of tiles (at today’s price) GH¢
Materials cost 12.00
Direct labour 5.00
Variable overhead 2.50
Fixed overhead (allocated) 3.50
Distribution (Variable) 5.50

In addition to the initial cost of machinery, investment in working capital of GH¢0.2 million will be required in year two. Mawuena Ltd pays tax one year in arrears at an annual rate of 30% on returns from the project. Mawuena Ltd shareholders require a nominal return of 14% per annum after tax, which includes allowance for generally expected inflation of 5.55% per annum. (Ignore Capital Allowance).

Required:
Assess the financial desirability of this venture in real terms, computing the net present value offered by the project. (14 marks)

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MA – May 2019 – L2 – Q1a – Decision making techniques

Assess the financial impact of purchasing a new machine on a manufacturing company’s profitability.

Hukportie Ltd is a manufacturer of product “Okwada” which is sold for GH¢5 per unit. Variable costs of production are currently GH¢3 per unit, and fixed costs excluding depreciation is GH¢350,000. The current machine which was purchased for GH¢120,000 has a written down value of GH¢20,000 and a resale value of GH¢12,000. This can however be used for the next four years.

A new machine is available which would cost GH¢90,000. This could be used to make product “Okwada” for a variable cost of only GH¢2.50 per unit. Fixed costs, however, would increase by GH¢7,500 per annum as a direct consequence of purchasing the machine. The machine would have an expected life of 4 years and a resale value after that time of GH¢8,000. Sales of product Okwada are estimated to be 75,000 units per annum.

Hukportie limited expects to earn at least 12% per annum from its investments. Taxation and depreciation should be ignored.

Required:

Advise whether Hukportie Ltd should purchase the new machine. (10 marks)

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MA – May 2021 – L2 – Q4b – Discounted cash flow

Identify and explain two advantages of the Net Present Value technique

b) Identify and explain TWO (2) advantages of the Net Present Value technique. (3 marks)

 

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MA – April 2022 – L2 – Q4a – Discounted cash flow

Evaluate the acceptability of a project using the Net Present Value (NPV) method considering cash flows and cost of capital.

Phil Company is considering replacing its existing machine on the introduction of a new product. The existing machine would be sold for GH¢2 million and replaced with a new machine at the beginning of the year at the cost of GH¢16 million. This new machine would be sold at the end of year 4 for GH¢1 million.

A market research recently carried out at a cost of GH¢1.5 million indicates a unit selling price of GH¢300 in year 1, rising by 10% per annum. Sales volume for the four-year life of the project has been estimated as follows:

Year Units
1 60,000
2 85,000
3 85,000
4 80,000

Possible unit variable costs are as follows:

Probability GH¢
0.4 240
0.6 260

Incremental fixed cost as a result of the project is GH¢15 per unit plus GH¢1,000,000 per annum staff cost.

The introduction of the new product is expected to reduce the market demand for an existing product by 5,000 units per annum. The existing product has a unit contribution of GH¢75.

Other annual fixed costs associated with the new product include the following:

  • Amortization of goodwill: GH¢50,000
  • Depreciation: GH¢250,000

Phil Company’s cost of capital is 12%.

Required:

Evaluate the acceptability of the project.

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