Question Tag: Net Present Value

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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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QTB – May 2015 – L1 – SA – Q4 – Operations Research

Understanding when a business venture is considered worthwhile.

A business venture is considered as worthwhile when the:

A. Present value of revenue is positive
B. Present value of the cost is positive
C. Net present value is positive
D. Net present value is equal to zero
E. Internal rate of return is positive

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PSAF – MAY 2019 – L2 – Q7 – Performance Measurement in the Public Sector

Compare NPV and IRR methods, state decision rules, and apply NPV to evaluate two investment projects for selection.

a. Distinguish between net present value (NPV) and internal rate of return (IRR) and state the decision rule under both criteria. (8 Marks)

b. Two projects A and B have initial capital investment of N900,000 each. The cash inflows of the two projects are as follows:

Required:
i. As a financial analyst, calculate the net present value (NPV) of the two projects given a cost of capital of 12%. (6 Marks)
ii. Based on the results obtained in (i), which of the projects should be chosen? (1 Mark)

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BMF – Nov 2022 – L1 – SB – Q2 – Basics of Business Finance and Financial Markets

This question involves defining corporate objectives and explaining key financial objectives, expectations from banks, and NPV method disadvantages.

Organisations formulate financial plans and policies to guide financial managers on how to make effective financial decisions.

Required:
a. Define the term “Corporate Objective” and explain the THREE commonly used financial objectives in most companies. (10 Marks)
b. State THREE expectations of a bank on how a company should use its overdraft facility. (6 Marks)
c. State TWO disadvantages of the Net Present Value (NPV) method. (4 Marks)

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BMF – May 2021 – L1 – SB – Q4 – Investment Decisions

Evaluate two equipment options using NPV and Discounted Payback Period to maximize shareholder value.

Felfred Limited is contemplating buying a new item of equipment to facilitate the improvement of the quality of services provided to customers of the company. Two models of the needed equipment are currently available in the market. The two machines, Xetoy and Whytox would cost N750,000 and N1,500,000 respectively. Additional information in relation to the two equipment is as stated below:

Equipment Xetoy Whytox
Estimated Lifespan 5 years 5 years
Expected Cash inflows / Year
2021 N500,000 N500,000
2022 N500,000 N500,000
2023 N300,000 N600,000
2024 N200,000 N600,000
2025 N100,000 N600,000
Disposal value N50,000 N100,000

Based on Net Present Value (NPV) and Discounted Payback Period methods of investment appraisal, you are required to select the equipment in which the value of shareholders will be maximised. Costs of installation for Xetoy and Whytox are N50,000 and N100,000 respectively. The company’s minimum required rate of return is currently at 12%.

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BMF – Nov 2023 – L1 – SA – Q8 – Investment Decisions

Identify the incorrect feature of the Net Present Value method.

Which of the following is NOT a feature of the Net Present Value (NPV) method of investment appraisal?

A. It considers liquidity as a means of evaluating a capital project
B. It makes use of the cost of capital or discount rate
C. It takes into consideration time value of money
D. It takes account of the timing of the cash flows
E. It evaluates all cash flows from the project

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BMF – May 2023 – L1 – SA – Q9 – Investment Decisions

Calculate the NPV of a project with given cash inflows over a 3-year period and a 10% cost of capital.

A firm plans to invest N20 million in a project with a life span of 3 years.

Projected cash inflows are as follows:

Years Cash Flows (N Million)
1 8
2 10
3 8

If the cost of capital is 10%, calculate the NPV of the project.

A. N1.34 million
B. N1.44 million
C. N1.54 million
D. N1.64 million
E. N1.74 million

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BMF – Mar July 2020 – L1 – SB – Q5 – Basics of Business Finance and Financial Markets

Calculating NPV and present value of cash flows for Favour Limited.

(a) Favour Limited is considering a project which will cost N2,000,000 now and generate the following cash flows:

Years Cash Flow (₦)
1-4 500,000 each year
5-8 300,000 each year
9-15 200,000 each year

The company’s cost of capital is 20%.

Required:
What is the NPV of the project?

(b) What is the present value of constant annual cash flows of ₦120,000 at 15% if the cash flow starts:

i. In year 1?
ii. In year 6?
iii. Immediately? (9 marks)

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MA – Nov 2019 – L2 – Q4a – Introduction to capital budgeting

Select the appropriate plant for Pagsana Company using Payback Period and NPV analysis.

a) Pagsana Company plans to introduce a new product line for production of its local drink in Walewale. The company, therefore, decided to acquire either a semi-automated plant or an automated plant. The relevant data for the two proposed plants are as follows:

Required:
i) Select the appropriate plant on the basis of:

  • Payback Period (4 marks)
  • Net Present Value

(7 marks)

ii) Explain TWO (2) advantages of discounted cashflow method of investment appraisal. (4 marks)

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QT – May 2019 – L1 – Q2b – Mathematics of Business Finance

Calculate NPV and IRR for two machines and determine which machine yields a better return.

BonBone Company Ltd wants to make a decision on which of the two machines to purchase. Each will involve a GH¢10,000 investment. The expected net incremental cash flows are given by the table below:

Year Machine I (GH¢) Machine II (GH¢)
1 5,000.00 2,000.00
2 4,000.00 3,000.00
3 2,000.00 5,000.00
4 2,000.00 4,000.00

Required:

i) If the company’s cost of capital is 10%, calculate the Net Present Value (NPV) of Machine I and Machine II and determine which machine should be purchased for higher returns. (8 marks)

ii) If the initial investment for Machine I is changed to GH¢4,000 and Machine II is changed to GH¢2,000, calculate the Internal Rate of Return (IRR) for Machine I and Machine II. (6 marks)

iii) If the IRRs in (ii) above are to be used as the basis of selection, determine which machine should be purchased for higher returns. (2 marks)

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QT – May 2019 – L1 – Q2a – Mathematics of Business Finance

Distinguish between IRR and NPV, and evaluate investment decisions using NPV and IRR.

Distinguish between Internal Rate of Return and Net Present Value. (4 marks)

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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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