Question Tag: NPV

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FM – May 2023 – L3 – Q4 – Financing Decisions and Capital Markets

Evaluate the implications of equity financing decisions, analyze pre-emptive rights, estimate share price, and explore factors affecting price movement.

The directors of Kenny plc wish to make an equity issue to finance an ₦800 million expansion scheme, with an expected net present value of ₦110 million. It is also to re-finance an existing 15% term loan of ₦500 million and pay off a penalty of ₦35 million for early redemption of the loan.

Kenny has obtained approval from its shareholders to suspend their pre-emptive rights and for the company to make a ₦1,500 million placement of shares, which will be at the price of 185 kobo per share. Issue costs are estimated to be 4 per cent of gross proceeds. Any surplus funds from the issue will be invested in commercial paper, which is currently yielding 9 per cent per year.

Kenny’s current capital structure is summarised below:

₦ million
Ordinary shares (25 kobo per share) 800
Share premium 1,120
Revenue reserves 2,310
Total Equity 4,230
15% term loan 500
11% bond 900
Total Capital 5,630

The company’s current share price is 190 kobo, and bond price is ₦102. Kenny can raise bond or medium-term bank finance at 10 per cent per year.

The stock market may be assumed to be semi-strong form efficient, and no information about the proposed uses of funds from the issue has been made available to the public.

Taxation may be ignored.

Required:

a. Discuss FOUR factors that Kenny’s directors should have considered before deciding which form of financing to use. (6 Marks)

b. Explain what is meant by pre-emptive rights, and discuss their advantages and disadvantages. (4 Marks)

c. Estimate Kenny’s expected share price once full details of the placement, and the uses to which the finance is to be put, are announced. (8 Marks)

d. Suggest two reasons why the share price might not move to the price that you estimated in (c) above. (2 Marks)

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FM – May 2023 – L3 – Q3 – Investment Appraisal Techniques

Evaluate Tinco Limited's expansion project using financial metrics, assess sensitivity to contribution and tax rate changes, and incorporate capital allowances.

Tinco Limited (TL) is considering an expansion project. The project will involve the acquisition of an automated production machine costing ₦11,000,000 and payable now. The machine is expected to have a disposal value at the end of 5 years, which is equal to 10% of the initial expenditure.

The following schedule reflects a recent market survey regarding the estimated annual sales revenue from the expansion project over the project’s five-year life:

Level of Demand ₦’000 Probability
High 16,000 0.25
Medium 12,000 0.50
Low 8,000 0.25

It is expected that the contribution to sales ratio will be 50%. Additional expenditure on fixed overheads is expected to be ₦1,800,000 per annum. TL incurs a 20% tax rate on corporate profits. Corporate tax is paid one year in arrears.

TL’s after-tax nominal (money) discount rate is 15.5% per annum. A uniform inflation rate of 5% per annum will apply to all costs and revenues during the life of the project. All of the values above have been expressed in terms of current prices.

You can assume that all cash flows occur at the end of each year and that the initial investment does not qualify for capital allowances.

Required:

a.
i. Evaluate the proposed expansion from a financial perspective. (10 Marks)
ii. Calculate and interpret the sensitivity of the project to changes in:

  • The expected annual contribution (3 Marks)
  • The tax rate (2 Marks)

b.
You have now been advised that the capital cost of the expansion will qualify for written down allowances at the rate of 25% per annum on a reducing balance basis. Also, at the end of the project’s life, a balancing charge or allowance will arise equal to the difference between the scrap proceeds and the tax written down value.

You are required to calculate the financial impact of these allowances. (5 Marks)

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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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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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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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BF – Nov 2015 – L1 – SA – Q10 – Investment Decisions

Identifying the correct formula for calculating Net Present Value (NPV) of an investment.

The formula for calculating Net Present Value (NPV) of an investment is:
A. Σₜ=₁ⁿ [(Cₜ / (1 + r)ᵗ)] – C₀
B. Σₜ=₀ⁿ [(Cₜ / (1 + r)ᵗ)] – C₀
C. Σₜ=₀ⁿ [(C₀ / (1 + r)ᵗ)] – C₀
D. Σₜ=₁ⁿ [(C₀ / (1 + r)ᵗ)] – C₀
E. Σₜ=₁ⁿ [(Cₜ / (1 + r)ᵗ)] + C₀

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SCS – Apr 2022 – L3 – Q6 – Investment decisions

Compute NPV for two investment options and evaluate potential benefits and difficulties for HPC.

a) For the two strategic development options being considered by HPC, compute:
i) the Net Present Value of Option 1.
ii) the Net Present Value of Option 2.
iii) the Net Present Value for the worst-case outcome for Option 1. (10 marks)

b) Discuss THREE (3) potential benefits and TWO (2) difficulties for HPC of undertaking each of the strategic development options. Your answer should include an evaluation of the calculations of the profitability index of each option. (10 marks)

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SCS – Nov 2023 – L3 – Q5a – International Financial Management

Determine forward rates using interest rate parity and calculate the NPV for an international investment project.

In connection with the proposed investment in the United Kingdom by NSL for shito production in that country, the shareholders require information to make the final investment decision.

Required:
i) Using the interest rate parity formula/equation, determine the forward rates/future spot rates at the end of 2024, 2025, 2026, and 2027.
(4 marks)

ii) Calculate the net present value(s) for the project at the beginning of 2024 that will determine whether the project should be accepted by the shareholders. Advise the shareholders whether they should accept and proceed with the project or reject it.
(7 marks)

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BMF – Nov 2019 – L1 – SB – Q6 – Investment Decisions

State decision rules for ARR and Payback Period and appraise a project using NPV.

(a) State the decision rules of the following investment appraisal techniques:

i. Accounting rate of return (2 Marks)
ii. Payback period (3 Marks)

(b) Fatfelic Ltd is considering a project with the following cash flows:

Year Cost of Plant (N) Running Costs (N) Savings (N)
2020 (1,280,000)
2021 480,000 840,000
2022 550,000 980,000
2023 670,000 1,120,000
2024 890,000 1,400,000

Fatfelic Ltd’s cost of capital is 10%.

Required:
i. Appraise the viability of the proposed project using the Net Present Value (NPV) method of investment appraisal.
ii. State with reasons if the project is worthwhile. (15 Marks)

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

Determine whether Arkoo Ltd's project is viable using the NPV method.

Question:
Arkoo Ltd (Arkoo) is planning to invest GH¢5 million in its sound engineering studio with a life span of 10 years. Arkoo charges GH¢5.50 for every compact disc (CD) produced with an associated cost of GH¢4.80. The company plans to produce 8,700,000 CDs each year. Arkoo evaluates all investment opportunities against a discount factor of 21%.

Required:
i) Determine whether the project is viable or not using the Net Present Value (NPV) method.
ii) Calculate the percentage by which the following conditioning factors of Arkoo must change
in order for NPV to be zero.

  • Selling price (3 marks)
  • Variable cost (3 marks)

  • Sales Volume (3 marks)
  • Initial investment (3 marks)

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AFM – Nov 2016 – L3 – Q4a – Valuation of acquisitions and mergers

Calculate the NPV of Mama Ltd's acquisition of Papa Ltd and determine the value of the combined entity and an appropriate share exchange ratio.

a) The Directors of Mama Ltd (Mama), a large listed company, are considering an opportunity to
acquire all the shares of Papa Ltd (Papa), a small listed company with a highly efficient
production technology.
Mama has 10 million shares of common stock in issue that are currently trading at GH¢6.00
each. Papa Ltd has 5 million shares of common stock in issue, each of which is trading at
GH¢4.50.
If Papa is acquired and integrated into the business of Mama, the production efficiency of the
combined entity would increase and save the combined business GH¢600,000 in operating
costs each year to perpetuity.
Though Mama operates in the same industry as Papa, its financial leverage is higher than that
of Papa. Mama’s total debt stock is valued at GH¢40 million, and its after-tax cost of debt is
22%. The beta of Mama’s common stock is 1.2. The return on the risk-free asset is 20% and
the market risk premium is 5%.
Required:
Suppose Mama offers a cash consideration of GH¢25 million from its existing funds to the
shareholders of Papa for all of their shares.
i) Calculate the NPV of the acquisition, and advise the directors of Mama on whether to
proceed with the acquisition or not. (8 marks)
ii) Calculate the value of the combined entity immediately after the acquisition. (3 marks)
iii) Suppose Mama would like to acquire all the shares in Papa by offering fresh shares of its
own common stock to the shareholders of Papa. Advise the directors on the appropriate
share exchange ratio based on market price.

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AFM – May 2017 – L3 – Q1b – Application of option pricing theory in investment decisions

Explanation of variables for real option valuation and use of Black Scholes model to estimate value of the option to delay.

BigDaddy Ltd, a drug development company, has gained drug production permission for the manufacturing of a drug for Ebola, which will be developed over a three-year period. The resulting drug sales less costs have an expected net present value of GH¢4 million at a cost of capital of 10% per annum. BigDaddy Ltd has an option to acquire the ownership of the drug at an agreed price of GH¢24 million, which must be exercised within the next two years. Immediate preparatory and research would be risky, as the project has a volatility attaching to its net present value of 25%.

One source of risk is the potential for absolute control over Ebola by people taking good care of themselves. Within the next two years, the World Health Organization will make a pronouncement on whether the disease will be eradicated or not. The risk-free rate of interest is 5% per annum.

Required:
i) What are the variables that determine the value of a real option for BigDaddy Ltd? (5 marks)
ii) Estimate the value of the option to delay the start of the project for two years using the Black-Scholes option pricing model and comment upon your findings. Assume that the World Health Organization will make its announcement about the potential eradication of Ebola at the end of the two-year period. (10 marks)

 

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AFM – Nov 2018 – L3 – Q1a – Discounted cash flow techniques

Evaluating an irrigation project using the Adjusted Present Value (APV) method, incorporating debt financing, government subsidy, and project cash flows.

One-Village Water Resources Ltd (One-Village) is considering a damming and irrigation project that will supply water to tomato farms around the Oti River. One-Village plans to commence the construction and installation phase of the project immediately and complete it in three years. One-Village will invest GH¢3 million in new plants and equipment now. Mobilisation to the project site will cost GH¢0.5 million now. Development costs are expected to be GH¢3 million in the first year, GH¢4 million in the second year, and GH¢2 million in the third year.

The commercial phase of the project will commence in the fourth year and run indefinitely. The project will generate after-tax net cash flows of GH¢6 million in the fourth year and GH¢8 million in the fifth year. Beyond the fifth year, cash flows will grow by 5% every year to perpetuity.

One-Village has 10 million shares outstanding, which are currently trading at GH¢3.5 each. The total value of its debt stock is GH¢20 million. One-Village plans to finance the investment requirements of the construction and installation phase of the project with new debt. Its borrowing cost is 20%, while its cost of equity is 25%. The Government of Ghana is promoting large-scale farming and is willing to give a subsidised loan of up to GH¢10 million at 15% annual interest. One-Village plans to take the maximum subsidised loan from the Government of Ghana and finance the balance with a bank loan. Issue costs, which are tax-deductible, are expected to be GH¢0.6 million. Both loans will be repaid in five years. One-Village falls into the 22% corporate income tax category. The risk-free interest rate is 14%, and the return on the market portfolio is 18%.

Required:
Evaluate the project using the adjusted present value (APV) technique and recommend whether it should be implemented or not. (12 marks)

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MA – Mar 2024 – L2 – Q1b – Divisional performance | Discounted Cash Flow

This question explains why the divisional manager may reject an option with a higher NPV and discusses board acceptability.

The performance bonus of the fragrance divisional manager is linked to Return on Investment (ROI) and Residual Income (RI) and has an impact on the calculation of retirement benefits. The manager is due to retire at the beginning of Year 3.

Required:
Explain why the fragrance Divisional Manager will not invest in the option showing the higher NPV and comment on whether it will be acceptable to the Board

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MA – Dec 2023 – L2 – Q4a – Discounted Cash Flow

This question involves calculating the NPV for three projects being considered by Kanfa Ltd and recommending the best project based on financial grounds.

Kanfa Ltd received GH¢50 million as compensation from Ghana Highways Authority (GHA) when one of its properties was destroyed to pave way for the Accra–Kumasi highway construction. Management of Kanfa Ltd has decided to invest the amount received in one of three capital investment opportunities identified.

Project A:

This is a long-term project, which would run for 20 years and will require an immediate outlay of GH¢50 million and net annual cash profits as follows:

  • 1st to 5th years: GH¢2 million
  • 6th to 10th years: GH¢8 million
  • 11th to 15th years: GH¢15 million
  • 16th to 20th years: GH¢5 million

At the end of the 20th year, the project would be decommissioned at a cost of GH¢2 million.

Project B:

Kanfa Ltd is considering opening a Tourist Attraction Centre in Cape Coast, with an initial capital investment of GH¢50 million. It will operate for five years and be sold at an estimated price of GH¢5 million. The market research survey estimates the following visitor numbers and probabilities:

  • 800,000 visitors (30%)
  • 600,000 visitors (50%)
  • 400,000 visitors (20%)

Entrance fee: GH¢40 per visitor, and each visitor is expected to spend GH¢15 on souvenirs and GH¢5 on refreshments. Variable costs per visitor: GH¢25 (including souvenirs and refreshments). Maintenance costs: GH¢2 million per annum.

Project C:

This project involves a current outlay of GH¢50 million on equipment and GH¢15 million on working capital immediately. The working capital will increase to GH¢21 million in year one. Net annual cash profits: GH¢18 million for six years. The capital equipment can be sold for GH¢5 million at the end of the project.

Other information:

  • The company’s cost of capital is 12% for the three projects.
  • Ignore taxation and inflation.

Required:
Calculate the Net Present Value (NPV) of each project and recommend which project the company should undertake on financial grounds.

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MA – Nov 2016 – L2 – Q5a – Discounted cash flow

Calculate the NPV break-even point under different cost of capital scenarios and determine the project's duration based on given cash inflows.

DDB Limited has decided to set up a factory to process groundnuts into oil. The feasibility studies cost them GH¢35,000. The consultants have advised that the initial outlay will be GH¢250,000; however, they were unable to estimate the cash inflow due to the uncertain economic environment.

Required:
Using NPV as an appraisal technique, you are required to calculate:

i) The constant cash inflow needed to break even if the cost of capital is 15% and the project is to last for 10 years.

(4 marks)

ii) By how much should the cash inflow increase to break even if the cost of capital is increased to 20%. (4 marks)

iii) If the cash inflow is GH¢45,000, for how long should the project run to break even if the cost of capital is 15%.

(4 marks)

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CSEG – Nov 2017 – L2 – Q1 – Strategic alternatives, analysis and selection

Analyze a mobile money service scenario involving environmental factors, competitive analysis, success factors, project evaluation, and strategic recommendations.

CASE STUDY: MOBILE MONEY SERVICE

Introduction:
The government of Ghana has been concerned with the low savings culture, low financial inclusion, and high cash-based transactions in the country. In 2005, the government decided to pursue policies to grow the financial services industry (FSI) as it was indispensable for the accelerated economic growth required to make the country a middle-income nation. Key service providers include banks, non-bank institutions, and mobile network operators (MNOs). By the close of 2017, 52% of the population remained excluded from any form of financial services.

There is generally a high cost of credit in the country as banks complain of difficulty in mobilizing deposits. Ghana is said to have one of the highest lending rates globally, placing second in the latest ranking released by Trading Economics, a development identified as a disincentive for the business community. The government budget deficit as a percentage of Domestic Product (GDP) decreased from 8.7% in 2010 to 8.5% in 2016, respectively. In the past, the government relied on external capital markets to fund the budget deficits but, following the worsening deficit figures, international financial organizations have raised concerns about the need for the government to ensure fiscal discipline.

The major development that revolutionized the FSI was the launch of the mobile money solution in 2009 by the four MNOs. Mobile money rides on the backbone of the mobile telephony infrastructure of the mobile network operators. This allows mobile money to be operated wherever there is network coverage. It is estimated that there is 65% mobile network coverage in Ghana.

The MNOs deliver mobile financial services largely through thousands of registered mobile money agents throughout the country. This effectively makes agents closer to customers than traditional banks and non-bank financial institutions. Most of the traditional banks’ branch networks are concentrated in urban centers to the exclusion of peri-urban and rural communities. The combination of these two factors enables mobile money services to be administered quickly and efficiently, even in the most remote areas. The capital requirement for registration as a mobile money agent is GH¢4,000, and the daily transaction limit is currently GH¢5,000. On average, agents operate one network’s mobile money, while very few agents have signed up for two or more different mobile money solutions. The total number of agents has increased from about 17,467 in 2013 to 93,376 by the close of 2016, and the National Communication Authority (NCA) has projected rapid annual growth for the next three years (2017-2019).

The Environment: Mobile money started in the country largely with two products – airtime purchases and domestic remittances for small amounts. With time, mobile money service offerings have expanded to include bill payments, Point of Sales (POS) payments, fund transfers in increasingly larger amounts, and deposit collection by banks and non-bank financial institutions. The expansion of the product offerings from mobile money makes it more appealing to a broad spectrum of mobile subscribers in the country. Customers are, therefore, keeping larger amounts in their wallets than they used to, and are using the expanding offerings from mobile money at the expense of existing products from the banks. There is growing mobile phone penetration rate as an increasing number of mobile phone users are subscribing to more than one mobile network.

Furthermore, mobile money has become very popular among middle and lower-income earners who make up about 80% of the population. The operation of mobile money on the handset is very easy and convenient and can be done from the comfort of one’s location. All that prospective mobile money customers require is a registered SIM card on the network of choice and a valid national ID. With these, they can be set up and ready to use their mobile wallets within minutes. The processes for setting up and using bank accounts are, however, more complex due to stricter Know Your Customer (KYC) requirements by the Central Bank. Remittances through mobile money are instant at a fee of 1% of the amount remitted or received. Mobile money transactions in Ghana reached GH¢679.17 million by the end of June 2016, according to the Bank of Ghana’s Payment Systems Department, and it is expected to hit GH¢35 billion by the close of 2017. Until very recently, the income from mobile money was not taxed but the Minister of Finance, in his 2017 mid-year review, hinted at plans to impose a tax on the fees from mobile money operations.

The mobile money operations face issues of network instability and system downtime as mobile network operators have not correspondingly expanded their infrastructure to match the growing subscribers. Sometimes, the agents are unable to meet the cash demands of customers due to a mismatch in net remittances. This is more pervasive in rural communities. Due to the weaknesses inherent in the issuance of valid Identity Cards (IDs), there are many fake ID cards and this has resulted in fraudsters having a field day. Some agents and customers have lost sums of money to fraudsters.

The customers and other players in the FSI have expressed concerns about their inability to carry out mobile money services across the various networks. Accordingly, the Central Bank has tasked its Payment Systems Department to ensure interoperability of mobile money across all networks in the country by June 2018. The government believes that mobile interoperability will deepen financial inclusion.

Regulation: Mobile money services have operated without any regulatory framework. The industry players, according to a recent survey, suggested that the long-term survival of the mobile money service requires stringent regulation. The Central Bank has now published guidelines for mobile money operators to be licensed as Dedicated Electronic Money Issuers (DEMI). The provisions include stringent KYC on the agents before registration, monthly returns on the activities of the agents, prosecution of the agents for mobile money fraud, etc. The mobile network operators are required to pay interest at the rate of 6% p.a. on the float on the mobile wallet.

Proposal: The Board of Directors of Excellent Telephone Service Ltd at a recent meeting discussed the possibility of opening a new unit to provide mobile money service to take advantage of the newly regulated industry. The Finance Director has presented a five-year estimate for the new venture as:

Year 0 1 2 3 4 5
GH¢’000
Cost of capital asset (200)
Total investment in net working capital (20) (25) (30) (35) (35)
Gross Fees 250 300 350 350 300
Direct and other costs (155) (185) (215) (215) (195)
Depreciation (40) (40) (40) (40) (40)
Interest (24) (24) (24) (24) (24)
Profit 31 51 71 71 41
Net total assets 220 200 211 220 240 190

For taxation purposes, capital allowances will be available against the taxable profits of the venture, at 25% per annum on a reducing balance basis and in year 5 any balance would be granted as additional capital allowance. The rate of tax on taxable profits is 25% and tax is paid one year in arrears. The capital assets will have a zero-salvage value at the end of 5 years. The after-tax weighted average cost of capital is estimated to be 24% per annum.

Required: a) Assess THREE environmental factors faced by Excellent Telephone Service Ltd. (6 marks)

b) Analyse the competitive environment of the mobile money segment using Porter’s Five Forces. (10 marks)

c) Identify and explain FOUR critical success factors for successful mobile money service operations. (6 marks)

d) Determine the viability of the project using the Net Present Value (NPV) technique and advise the Board of Directors whether to invest or not. (12 marks)

e) Recommend THREE strategies which the Board of Directors could implement to give Excellent Telephone Service Ltd a competitive edge. (6 marks)

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FM – MAY 2017 – L2 – Q2 – Foreign exchange risk and currency risk management | Introduction to Investment Appraisal

Discuss the advantages and disadvantages of the payback method, calculate the NPV for DÉCOR Ltd's investment, and analyze currency risk in an international transaction.

a) Payback method refers to the period of time it takes for the cash flows to cover the initial cost of investment or recoup the initial cost of investment. The period is usually calculated in years.

Required:
Identify TWO advantages and TWO disadvantages of using the payback method in investment appraisal.
(4 marks)

b) DÉCOR Ltd is analyzing the purchase of a new machine to produce product Z. The machine is expected to cost GH¢2,000,000. Production and sales of product Z are forecast as follows:

Year 1 2 3 4
Production & Sales (units/year) 70,000 106,000 150,000 72,000

The current selling price is GH¢30 per unit and is expected to increase by 5% a year. The current variable cost is GH¢18 per unit and is expected to increase by 6% per year. Fixed costs will remain the same, but an increase in working capital is required. Analysis of historical data of the levels of working capital of product Z indicates that, at the start of each year, investment in working capital will need to be 10% of sales revenue of that year.

The company pays tax at 25% per year in the year in which taxable profit occurs. The tax liability is reduced by the capital allowance on the machinery, and DÉCOR Ltd can claim on a straight-line basis over the four-year life of the proposed investment (capital allowance rate of 25% per annum). The new machine will have zero scrap value at the end of the four years. The cost of capital is 15% per year.

Required:
Calculate the Net Present Value (NPV) of the proposed investment and advise whether the proposed investment should be undertaken.
(11 marks)

c) An American company sells goods to a Ghanaian buyer for US$280,000 when the exchange rate is $1 = GH¢4.20. The Ghanaian buyer is allowed three months’ credit, and when the American company eventually receives the US dollars three months later and exchanges them for dollars, the exchange rate has moved to $1 = GH¢4.60.

Required:
i) What was the foreign exchange loss to the Ghanaian buyer?
(3 marks)

ii) Explain currency risk in relation to the above.
(2 marks)

iii) Explain transaction risk in relation to the above.
(2 marks)

iv) What will be the effect of the above on the company’s trading profits?
(3 marks)

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FM – MAY 2016 – L2 – Q1 – Capital rationing | Discounted cash flow

Appraise project PA205 using NPV criteria, sensitivity analysis, and capital rationing advice. Discuss ways to address capital constraints.

ABC Ltd is considering five projects for the coming financial year. Four of the projects have undergone financial appraisal (see the table below).

Project Lifespan Initial investment (GH¢) NPV (GH¢) IRR
PA201 Indefinite (50,000) 85,200 11.5%
PA202 Indefinite (75,000) 98,500 12.3%
PA203 Indefinite (48,000) 65,950 10.2%
PA204 Indefinite (85,000) 95,400 11.4%
PA205 Indefinite (150,000) Yet to be appraised Yet to be appraised

Project PA205 entails an immediate capital investment of GH¢150,000 and will produce the following annual net cash flows in real terms:

Year 1 2 3 4 5 Every year after year 5
Cash flow (GH¢) 5,000 10,500 25,000 28,000 30,000 30,000

Expected general rate of inflation is 15% and the company’s money required rate of return is 25%.

Required:

a) Appraise Project PA205 using the NPV criteria. (4 marks)
b) Assess the sensitivity of Project PA205 to the discount rate. (4 marks)

c) Suppose in the coming financial year, only GH¢200,000 of finance will be available for investments but the capital constraint will ease afterwards. Advise the company on which project(s) to implement in the coming year if the projects are –

i) Independent and divisible (3 marks)
ii) Independent and indivisible (3 marks)

d) When management rejects projects with positive net present value because of capital constraints, they lose opportunities to enhance the value of shareholders. Suggest three practical ways of dealing with capital rationing so as not to discard projects with positive net present value. (6 marks)

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FM – July 2023 – L2 – Q4 – Discounted cash flow | Introduction to Investment Appraisal

Compute the Net Present Value (NPV) of an investment in the cement industry and advise whether it should be undertaken, and discuss the importance of secondary markets.

a) Ntam Ghana Ltd has identified an opportunity in the Cement Industry in Ghana and decided to set up a plant to produce cement in Ghana under the brand name “Kong” in 50kg per bag. This new product has performed very well in the marketing trials carried out by the Research and Development division of the company.

The following information regarding the investment has been prepared by the Finance Manager:

  • Initial Investment (Plant Cost) = GH¢50 million
  • Working capital (At the beginning) = GH¢5 million
  • Selling price per bag (current price terms) = GH¢50
  • Variable cost per bag (current price terms) = GH¢25
  • Fixed operating cost per year (current year terms) = GH¢5 million
  • Annual Demand (current year terms) = 500,000 bags

The table below represents the forecast increases for the next 5 years:

Year Selling Price Variable Cost Fixed Operating Cost Annual Demand
1 15% 10% 10% 10%
2 18% 15% 15% 14%
3 20% 15% 15% 16%
4 15% 12% 20% 15%
5 17% 13% 18% 14%

The initial investment plant is depreciated at 20% per annum on a straight-line basis with a residual value of GH¢5 million at the end of the period. Prior discussions with Ghana Revenue Authority confirm approval for an allowable capital allowance rate on the above investment at 20% per annum. The company uses 22% as its internal cost of capital, and the Corporate tax rate for the company is 25%.

Required:
Compute the Net Present Value (NPV) and advise whether the investment should be undertaken. (15 marks)

b) Investors in the Financial Markets have the option of trading on the primary market or secondary market or both. As a professional investor in the Financial Markets, you are required to:

i) Distinguish between the Primary market and Secondary market. (2 marks)
ii) State THREE (3) reasons the secondary market is more important to investors. (3 marks)

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