Question Tag: Modified Internal Rate of Return

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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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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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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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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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