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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 2018 – L3 – Q1 – Financial Strategy Formulation

Appraisal of a diversification project into holiday travel using WACC and associated financial strategy considerations.

Eko Plc. (Eko) is a listed company in the food retailing sector and has large stores in all major cities in the country. Eko’s board is considering diversifying by opening holiday travel shops in all of its stores.

At a recent board meeting, the directors discussed how the holiday travel shops project (the project) should be appraised. The sales director insisted that Eko’s current weighted average cost of capital (WACC) should be used to evaluate the project, as the majority of its operations will still be in food retailing. The finance director disagreed, stating that the existing cost of equity does not account for the systematic risk of new projects and that the company’s overall WACC would change as a result of the project’s acceptance. The board was also concerned about the market’s reaction to its diversification plans. Another board meeting was scheduled, at which Eko’s advisors would be asked to make a presentation on the project.

You work for Eko’s advisors and have been asked to prepare information for the presentation. You have established the following:

Eko intends to raise the capital required for the project in such a way as to leave its existing debt-to-equity ratio (by market value) unchanged following the diversification. Extracts from Eko’s most recent management accounts are shown below:

Statement of financial position as at May 31, 2017

On May 31, 2017, Eko’s ordinary shares had a market value of 276 kobo (ex-div) and an equity beta of 0.60. For the year ended May 31, 2017, the dividend yield was 4.2%, and the earnings per share were 25 kobo. The return on the market is expected to be 8% p.a, and the risk-free rate is 2% p.a.

Eko’s debentures had a market value of N108 (ex-interest) per N100 nominal value on May 31, 2017, and they are redeemable at par on May 31, 2021.

Companies operating solely in the holiday travel industry have an average equity beta of 1.40 and an average debt-to-equity ratio (by market value) of 3:5. It is estimated that if the project goes ahead, the overall equity beta of Eko will be made up of 90% food retailing and 10% holiday travel shops.

Assume that the income tax rate will be 20% p.a. for the foreseeable future.

Required:

a. Ignoring the project, calculate the current WACC of Eko using:
i. The Capital Asset Pricing Model (CAPM) (8 Marks)
ii. The Gordon Growth Model (6 Marks)

b. Use the CAPM to calculate the cost of equity that should be included in a WACC suitable for appraising the project and explain your reason. (5 Marks)

c. By calculating an overall equity beta and using the CAPM, estimate the overall WACC of Eko assuming that the project goes ahead and comment on the implications of a permanent change in the overall WACC. (5 Marks)

d. Advise whether Eko should diversify its operations and how the stock market might react to the proposed project. (3 Marks)

e. Identify the appropriate project appraisal methodology that should be used when a project’s financing results in a major increase in a company’s market gearing ratio, and using the data relating to Eko, calculate the project discount rate that should be used in this circumstance. (3 Marks)

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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 2016 – L1 – SA – Q9 – Basics of Business Finance and Financial Markets

This question tests the calculation of Accounting Rate of Return (ARR) for a project based on financial data provided.

ABC Limited is considering investing in a project with the following financial data:

The project life span is FOUR years and has no residual value at the end of the FOUR years. Calculate the ARR.

A. 25%
B. 30%
C. 32%
D. 33%
E. 35%

 

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PSAF – MAY 2019 – L2 – Q5 – Performance Measurement in the Public Sector

Explain cost-benefit analysis, its evaluation methods, and justify its preference as a public project appraisal technique.

The cost-benefit analysis (CBA) has been described as the most popular technique for investment project appraisal in the public sector, especially in the developing world.

Required:

a. Describe the term cost-benefit analysis (CBA). (5 Marks)

b. Identify and explain the two methods usually adopted in the evaluation of projects under CBA. (4 Marks)

c. Justify the preference for CBA as a public project appraisal technique. (6 Marks)

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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 2018 – L3 – Q1 – Financial Strategy Formulation

Appraisal of a diversification project into holiday travel using WACC and associated financial strategy considerations.

Eko Plc. (Eko) is a listed company in the food retailing sector and has large stores in all major cities in the country. Eko’s board is considering diversifying by opening holiday travel shops in all of its stores.

At a recent board meeting, the directors discussed how the holiday travel shops project (the project) should be appraised. The sales director insisted that Eko’s current weighted average cost of capital (WACC) should be used to evaluate the project, as the majority of its operations will still be in food retailing. The finance director disagreed, stating that the existing cost of equity does not account for the systematic risk of new projects and that the company’s overall WACC would change as a result of the project’s acceptance. The board was also concerned about the market’s reaction to its diversification plans. Another board meeting was scheduled, at which Eko’s advisors would be asked to make a presentation on the project.

You work for Eko’s advisors and have been asked to prepare information for the presentation. You have established the following:

Eko intends to raise the capital required for the project in such a way as to leave its existing debt-to-equity ratio (by market value) unchanged following the diversification. Extracts from Eko’s most recent management accounts are shown below:

Statement of financial position as at May 31, 2017

On May 31, 2017, Eko’s ordinary shares had a market value of 276 kobo (ex-div) and an equity beta of 0.60. For the year ended May 31, 2017, the dividend yield was 4.2%, and the earnings per share were 25 kobo. The return on the market is expected to be 8% p.a, and the risk-free rate is 2% p.a.

Eko’s debentures had a market value of N108 (ex-interest) per N100 nominal value on May 31, 2017, and they are redeemable at par on May 31, 2021.

Companies operating solely in the holiday travel industry have an average equity beta of 1.40 and an average debt-to-equity ratio (by market value) of 3:5. It is estimated that if the project goes ahead, the overall equity beta of Eko will be made up of 90% food retailing and 10% holiday travel shops.

Assume that the income tax rate will be 20% p.a. for the foreseeable future.

Required:

a. Ignoring the project, calculate the current WACC of Eko using:
i. The Capital Asset Pricing Model (CAPM) (8 Marks)
ii. The Gordon Growth Model (6 Marks)

b. Use the CAPM to calculate the cost of equity that should be included in a WACC suitable for appraising the project and explain your reason. (5 Marks)

c. By calculating an overall equity beta and using the CAPM, estimate the overall WACC of Eko assuming that the project goes ahead and comment on the implications of a permanent change in the overall WACC. (5 Marks)

d. Advise whether Eko should diversify its operations and how the stock market might react to the proposed project. (3 Marks)

e. Identify the appropriate project appraisal methodology that should be used when a project’s financing results in a major increase in a company’s market gearing ratio, and using the data relating to Eko, calculate the project discount rate that should be used in this circumstance. (3 Marks)

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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 2016 – L1 – SA – Q9 – Basics of Business Finance and Financial Markets

This question tests the calculation of Accounting Rate of Return (ARR) for a project based on financial data provided.

ABC Limited is considering investing in a project with the following financial data:

The project life span is FOUR years and has no residual value at the end of the FOUR years. Calculate the ARR.

A. 25%
B. 30%
C. 32%
D. 33%
E. 35%

 

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PSAF – MAY 2019 – L2 – Q5 – Performance Measurement in the Public Sector

Explain cost-benefit analysis, its evaluation methods, and justify its preference as a public project appraisal technique.

The cost-benefit analysis (CBA) has been described as the most popular technique for investment project appraisal in the public sector, especially in the developing world.

Required:

a. Describe the term cost-benefit analysis (CBA). (5 Marks)

b. Identify and explain the two methods usually adopted in the evaluation of projects under CBA. (4 Marks)

c. Justify the preference for CBA as a public project appraisal technique. (6 Marks)

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