Topic: Cost of capital

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FM – Nov 2016 – L3 – SA – Q1 – Cost of Capital

Analyze a potential investment project, including the valuation of the firm’s equity and bonds, calculation of the risk-adjusted cost of capital, and project valuation with and without a buyout offer.

Tinko Plc (TP) repairs and maintains heavy-duty trucks with workshops across Nigeria and parts of Africa. Below are extracts from its financial position:

Item ₦’million
Share capital (50k/share) 200
Reserves 320
Non-current liabilities 760
Current liabilities 60

The company’s Free Cash Flow to Equity (FCFE) is estimated at ₦153 million, with a perpetual growth rate of 2.5% annually. The equity shareholders require an 11% return.

The non-current liabilities consist of ₦1,000 nominal value bonds redeemable in 4 years at par with a 5.4% coupon. The credit spread is 80 basis points above the risk-free rate.

A project related to the “Graduates Back To Land (GBTL)” program is under consideration. The initial investment is ₦84 million, with estimated cash flows for four years. Details about the project include alternative scenarios for the program’s growth and a potential buyout offer of ₦100 million at the end of year one.

Required:
a. Calculate the current total market value of TP’s:
i. Equity (3 Marks)
ii. Bonds (4 Marks)

b. Calculate the risk-adjusted cost of capital required for the new project. (10 Marks)

c. Estimate the value of the project with and without the offer from FL (10 Marks)

d. State the assumptions made in your calculations. (3 Marks)

 

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FM – May 2017 – L3 – Q1 – Cost of Capital

Calculate project-specific cost of capital and assess project feasibility.

K Plc., a listed company based in Warri, Delta state, has been involved in producing boats (but excluding the engines). The company is now considering diversifying into the production of a major component of outboard engine. For this purpose, the company has recently purchased the patent rights for ₦15 million to produce the component.

K Plc. has spent ₦20 million developing prototypes of the component and undertaking market studies. The research studies came to the conclusion that the component will have significant commercial potential for a period of five years, after which newer components would come into the market and the sales revenue from the component would virtually fall to zero. The research studies have also found that in the first two years (the development phase), there will be considerable training and development costs and fewer components will be produced and sold. However, sales revenue is expected to grow rapidly in the following three years (the commercial phase).

It is estimated that in the first year, the selling price would be ₦2,000 per component, the variable costs would be ₦800 per component, and the total direct fixed costs would be ₦6,000,000. Thereafter, while the selling price is expected to increase by 8% per year, the variable and fixed costs are expected to increase by 5% per year for the next four years. Training and development costs are expected to be 120% of variable costs in the first year, 40% in the second year, and 10% in each of the following three years.

The estimated average number of outboard engine components produced and sold per year is given below:

Year Units produced and sold
1 15,000
2 40,000
3 100,000
4 120,000
5 190,000

Machinery, costing ₦480,000,000, will need to be installed prior to the commencement of component production. K Plc. has enough space in its factory to manufacture the components and therefore will incur no additional rental costs. Tax-allowable depreciation is available on the machinery at 10% on a straight-line basis. The machinery is expected to be sold for ₦160,000,000 at the end of year 5. The company makes sufficient profits from its other activities to take advantage of any tax loss relief available from this project.

Initially, K Plc. will require additional working capital for the project of 20% of the first year’s sales revenue. Thereafter, every ₦1 increase in sales revenue will require a 10% increase in working capital.

Although this would be a major undertaking for the company, it is confident that it can raise the finance required for the machinery and the first year’s working capital. The financing will be through a mixture of a rights issue and a bank loan, in the same proportion as the market values of current equity and debt capital. Any annual increase in working capital after the first year will be financed by internally generated funds.

Marine Engineers (ME) Plc. is a listed company involved in the manufacture of outboard engine components for many years.

Additional data
Extracts from Statement of Financial Position:

The loan notes of ME Plc. are quoted at ₦102 per ₦100

Other Data:

  • Tax rate applicable to K Plc. and ME Plc.: 20%
  • Estimated risk-free rate of return: 3%
  • Historic equity market risk premium: 6%

Required:

a. Given the information on ME Plc. and the project financing mix, including any other relevant information, calculate the project-specific cost of capital. (5 Marks)

b. Assess whether K Plc. should undertake the project of developing and commercializing the major component of outboard engine, assuming a discount rate of 12% as being applicable for the assessment, irrespective of your calculations in (a) above. (22 Marks)

c. State any THREE relevant assumptions made for your calculations in (a) and (b) above. (3 Marks)

(Total 30 Marks)

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FM – May 2022 – L3 – Q5 – Cost of Capital

Calculate market value WACC for JP and discuss its preference over book value WACC for investment appraisals.

The directors of Jindadi Plc. (JP), an Abuja-based entertainment company, are currently considering the appropriate cost of capital to use in appraising capital investments. It is the policy of the company to assess the financial viability of all capital projects using the net present value criterion.

You have been provided with some financial information about the company.

JP has an equity beta of 1.2, and the ex-dividend market value of the company’s equity is N1 billion. The ex-interest market value of the convertible bonds is N168 million, and the ex-dividend market value of the preference shares is N50 million.

The convertible bonds of JP have a conversion ratio of 19 ordinary shares per bond. The conversion date and redemption date are both on the same date in five years’ time. The current ordinary share price of JP is expected to increase by 4% per year for the foreseeable future.

The equity risk premium is 5% per year, and the risk-free rate of return is 4% per year. JP pays profit tax at an annual rate of 30% per year.

Required:

a. Calculate the market value after-tax weighted average cost of capital of JP, explaining clearly any assumptions you make. (10 Marks)

b. Discuss why market value weighted average cost of capital is preferred to book value weighted average cost of capital when making investment decisions. (5 Marks)

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FM – May 2021 – L2 – Q3b – Cost of Capital

Calculate Gbewaa Ghana Ltd’s Weighted Average Cost of Capital

b) Gbewaa Ghana Ltd has issued 10 million shares with a market value of GH¢5 per share. The equity beta of the company is 1.2. The current yield of short-term government debt is 14% per annum, and the equity risk premium is approximately 5% per annum. The debt finance of Gbewaa Ghana Ltd consists of bonds with a book value of GH¢10,000,000. These bonds pay interest at 18% per annum, and the par value and market value of each bond is GH¢100. The company’s tax rate is 25%.

Required:

Calculate Gbewaa Ghana Ltd’s Weighted Average Cost of Capital. (9 marks)

 

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FM – DEC 2023 – L2 – Q5 – Cost of capital | Foreign exchange risk and currency risk management

Calculation of the effective cost of various financing options and explanation of internal strategies to manage foreign currency risk.

a) Markwei Pharmaceuticals Ltd plans to import active ingredients to produce vitamin syrup. The company’s managers are considering three financing options for the cedi equivalent of an invoice value of GH¢2.5 million. The options are detailed below:

Option 1: Use supplier’s credit. The credit term is 1.5/10 net 45.

Option 2: Issue a commercial paper to raise the money from the Ghanaian money market. The commercial paper will pay interest at the rate of 18% per annum. Issue costs totaling GH¢15,000 will be incurred.

Option 3: Obtain a 3-month bank loan. The interest rate on the loan is 22% per annum. Loan arrangement and processing fees are expected to be GH¢5,000.

Required:
i) Compute the effective annual cost of each financing option and recommend the most cost-effective option. (10 marks)
ii) Explain TWO (2) advantages of financing the invoice through the issue of a commercial paper instead of a bank loan. (5 marks)

b) Abongo Shoes Ltd (Abongo) imports leather from Italy. Abongo’s demand for euros to settle its import bills exposes its cash flow to foreign exchange risk. Abongo’s Management is looking for internal strategies they can deploy to hedge the company’s currency risk exposure as external hedging strategies might be too expensive for the company.

Required:
Explain TWO (2) internal strategies for managing foreign currency risk exposures that Abongo’s Management can use. (5 marks)

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FM – Nov 2020 – L2 – Q1b – Cost of capital | Portfolio theory and the capital asset pricing model (CAPM)

Calculate the appropriate discount rate for a new subsidiary in the U.S. using CAPM and Modigliani-Miller Proposition II.

The directors of Fameko Ltd (Fameko), a courier delivery services company based in Ghana, are considering a proposal for setting up a subsidiary in the United States of America to provide courier services in North America. The capital of this new subsidiary will be structured as 20% equity and 80% debt.

The directors are not sure of what would be an appropriate discount rate for appraising the North American business. You have been asked to recommend an appropriate discount rate for this project. You have gathered the following information for this exercise.

  • Competition in the U.S. Courier industry:
    The U.S. courier services industry is highly competitive. If Fameko sets up in the U.S., its main competitor will be ExFed Corporation. ExFed’s capital structure is 70% equity and 30% debt.
  • Market risk:
    The following statistics have been computed from historical excess returns on the equity stock of ExFed Corporation and that on the S&P 500 Index (a proxy for the market portfolio):
S&P 500 Index ExFed Equity Stock
Average return 0.0628 0.0321
Standard Deviation 0.1875 0.1521
Sample Variance 0.0352 0.0231
Kurtosis -1.4335 -1.1121
Skewness -0.2178 -0.1601

You analyzed the correlation between the excess returns on ExFed and excess returns on the S&P 500 Index and obtained a correlation coefficient of 0.91.

  • The annual risk-free rate and market return:
    The annual rate of interest on the 10-year U.S. Treasury bond is 2.1%. The expected return on the S&P 500 Index is 7%.
  • Taxation:
    ExFed pays corporate income tax at the rate of 30%. However, the effective corporate income tax rate on profits from Fameko’s North American operations will be 35%.

Required:

i) Compute the equity beta of ExFed. (3 marks)

ii) Derive an appropriate equity beta for Fameko’s U.S. subsidiary. (4 marks)

iii) Using the capital asset pricing model or the Modigliani and Miller Proposition II with tax, compute an appropriate cost of equity for Fameko’s U.S. subsidiary. (3 marks)

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FM – MAY 2016 – L2 – Q2 – Cost of capital

Calculate SAFOO Ltd's WACC and discuss factors influencing the choice of debt finance, as well as the theoretical ex-right price and value of rights.

a) SAFOO Ltd has in issue 5 million shares with a market value of GH¢3.81 per share. The equity beta of the company is 1.2. The yield on short-term government debt is 23% per year, and the equity risk premium is 5% per year. The debt finance of SAFOO Ltd consists of bonds with a total book value of GH¢2 million. These bonds pay annual interest before tax of 25%. The par value and market value of each bond is GH¢100. The company pays tax at 25%.

Required:
Calculate SAFOO Ltd’s Weighted Average Cost of Capital (WACC).
(10 marks)

b) Choosing an appropriate source of business finance can be a difficult and time-consuming task due to the variety of funding options available. Financing can come in the form of debt or investment, and finance terms can vary significantly.

Required:
i) Discuss FOUR factors that a company should consider when choosing a source of debt finance.
(6 marks)

ii) Explain THREE factors that may be considered by providers of finance in deciding how much to lend to a company.
(3 marks)

c) A company with 20 million shares in issue announces a 2 for 5 rights issue at a price of GH¢3 per share. The market price of the existing shares before the rights issue is GH¢3.70.

Required:
i) What is the theoretical ex-right price?
(3 marks)

ii) What is the theoretical value of the rights?
(3 marks)

 

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FM – MAY 2016 – L2 – Q4 – Capital structure | Cost of capital

Discuss the reasons for pecking order in financing, factors influencing capital structure, and calculate the appropriate cost of capital for Pusher Mining Ltd’s new project.

a) The Directors of Moore Plastics Ltd have been deliberating on the company’s capital structure with a view to identifying an optimal financing mix. Opening the deliberation, the Board Chair remarked, “For the past 10 years, we have deployed a financing strategy of reinvesting as much profit as available. When profit is inadequate, we go for borrowing. New equity offers have been a last resort.”

Required:
i) Explain with THREE reasons why most managers tend to use financing strategies that follow the pecking order. (6 marks)
ii) Identify and explain TWO factors the directors of Moore Plastics Ltd should consider in redesigning the company’s capital structure. (4 marks)

b) Pusher Mining Ltd, a large listed company, operates five mineral concessions in Ghana and Ivory Coast. The company’s financial performance for the past five years has been impressive. The company’s recently published financial results indicate that it earned after-tax profit of GH¢250 million and paid dividends of GH¢50 million out of that profit.

Reserves at two of the five mineral concessions will be exhausted in two years’ time, and stakeholders fear this will adversely affect the company’s profitability. Nevertheless, the directors are aiming at maintaining the company’s dividend payment record. To achieve this, they want to pursue a new project in the oil industry to provide additional cash flows. Though the new project will be financed with existing equity and long-term debts, the directors are not sure what cost of capital to use in appraising the new project.

A summary of the company’s financial position before the new oil project follows:

Item GH¢m
Noncurrent assets 620
Current assets 425
Total assets 1,045
Equity
Stated capital 180
Income surplus 685
Shareholders’ fund 865
Liabilities
Current liabilities 20
Bank loans 40
Bonds 120
Total liabilities 180
Total equity and liabilities 1,045

Notes:

  1. Stated capital: Pusher has in issue 40 million ordinary shares of no par value, all of which are listed on the stock exchange. The current market value of the ordinary stock is GH¢5.5 per share. It is estimated that the market value of the ordinary stock will increase by 8% per annum. The equity beta is 1.25.
  2. Bank loans: These are fixed-rate loans from banks in Ghana. The after-tax cost of the loans is 14.5%.
  3. Bonds: These are 16% coupon bonds with a face value of GH¢100 each. The bonds are currently trading at GH¢98.1 each. In 10 years’ time, the bonds may be either converted into 10 ordinary shares or redeemed at face value at the choice of bondholders. Bondholders are assumed to be rational investors.

If the new oil project is implemented, Pusher Mining Ltd’s main competitor in the oil industry would be Cargo Oil Ltd. The estimated equity beta of the competitor is 1.80 and the market value of its equity stock is GH¢150 million. The long-term debt stock of the competitor is valued at GH¢100 million. The systematic risk of debt stocks is assumed to be zero. The risk-free return is 14% and the market return is 20%. The corporate tax rate is 25%.

Required:
Estimate the appropriate cost of capital Pusher Mining Ltd should use in appraising the new project in the oil industry. Show all relevant computations. (10 marks)

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FM – Nov 2023 – L2 – Q1 – Cost of capital | Economic and regulatory environment

Distinguish between expansionary and contractionary monetary policies, discuss the impact of raising the monetary policy rate, and calculate the cost of equity and WACC for Moli Ltd.

a) Monetary policies are seen either as expansionary or contractionary depending on the level of growth within the economy. The Bank of Ghana, which is responsible for pursuing sound monetary policies, has recently raised the monetary policy rate by 150 basis points.

Required:
i) In reference to the statement above, distinguish between expansionary monetary policy and contractionary monetary policy. (4 marks)
ii) Would you describe the raise in the monetary policy rate as an expansionary or contractionary monetary policy action? Explain. (2 marks)
iii) Explain TWO (2) implications of raising the monetary policy rate for the financial performance of businesses. (4 marks)

b) Moli Ltd is financed by a mixture of equity and debt capital in the ratio of 2:1. The pre-tax cost of debt is 25% whilst the risk-free interest rate is 15%. The available market information puts the average stock market return on equity at 22%. The equity beta value of Moli Ltd has been estimated as 0.9. The corporate tax rate is 30%.

Required:
i) Calculate the cost of equity. (4 marks)
ii) Calculate the weighted average cost of capital. (6 marks)

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FM – NOV 2016 – L2 – Q3 – Cost of capital | Introduction to Investment Appraisal

Evaluates the viability of an investment using NPV and IRR and explains the criteria venture capitalists consider when funding applications.

a) Sakyiama Poultry Farms is considering purchasing a new incubator that will improve its incubation efficiency to 90% as against the current 50%. The incubator, which is to be purchased immediately, will cost GH¢120,000. The incubator has a useful life of 4 years, after which it would be sold for scrap at GH¢10,000. The current contribution of GH¢3 per day-old chick will not change. The number of day-old chicks sold at 12,000 units per annum will increase by 80%. Fixed cost will be GH¢20,000 per annum. Sakyiama Farms has an after-tax cost of capital of 12.5% and pays tax in the year in which profit is made at a rate of 15% per annum. The farm is also entitled to capital allowance at 25% on a reducing balance.

i) Calculate the Net Present Value (NPV) and the viability of the investment. (7 marks)
ii) Calculate the Internal Rate of Return (IRR). (8 marks)

b) Two blue-chip companies – Abu Ltd and Ada Ltd are seeking to raise funds from venture capital to boost their production in order to satisfy demand for their solar-powered refrigeration and air-conditioning systems, which they developed through a joint venture. They have consulted you for advice.

Required:
Explain FIVE conditions that a venture capitalist will consider in accessing an application for funding. (5 marks)

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FM – Nov 2016 – L3 – SA – Q1 – Cost of Capital

Analyze a potential investment project, including the valuation of the firm’s equity and bonds, calculation of the risk-adjusted cost of capital, and project valuation with and without a buyout offer.

Tinko Plc (TP) repairs and maintains heavy-duty trucks with workshops across Nigeria and parts of Africa. Below are extracts from its financial position:

Item ₦’million
Share capital (50k/share) 200
Reserves 320
Non-current liabilities 760
Current liabilities 60

The company’s Free Cash Flow to Equity (FCFE) is estimated at ₦153 million, with a perpetual growth rate of 2.5% annually. The equity shareholders require an 11% return.

The non-current liabilities consist of ₦1,000 nominal value bonds redeemable in 4 years at par with a 5.4% coupon. The credit spread is 80 basis points above the risk-free rate.

A project related to the “Graduates Back To Land (GBTL)” program is under consideration. The initial investment is ₦84 million, with estimated cash flows for four years. Details about the project include alternative scenarios for the program’s growth and a potential buyout offer of ₦100 million at the end of year one.

Required:
a. Calculate the current total market value of TP’s:
i. Equity (3 Marks)
ii. Bonds (4 Marks)

b. Calculate the risk-adjusted cost of capital required for the new project. (10 Marks)

c. Estimate the value of the project with and without the offer from FL (10 Marks)

d. State the assumptions made in your calculations. (3 Marks)

 

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FM – May 2017 – L3 – Q1 – Cost of Capital

Calculate project-specific cost of capital and assess project feasibility.

K Plc., a listed company based in Warri, Delta state, has been involved in producing boats (but excluding the engines). The company is now considering diversifying into the production of a major component of outboard engine. For this purpose, the company has recently purchased the patent rights for ₦15 million to produce the component.

K Plc. has spent ₦20 million developing prototypes of the component and undertaking market studies. The research studies came to the conclusion that the component will have significant commercial potential for a period of five years, after which newer components would come into the market and the sales revenue from the component would virtually fall to zero. The research studies have also found that in the first two years (the development phase), there will be considerable training and development costs and fewer components will be produced and sold. However, sales revenue is expected to grow rapidly in the following three years (the commercial phase).

It is estimated that in the first year, the selling price would be ₦2,000 per component, the variable costs would be ₦800 per component, and the total direct fixed costs would be ₦6,000,000. Thereafter, while the selling price is expected to increase by 8% per year, the variable and fixed costs are expected to increase by 5% per year for the next four years. Training and development costs are expected to be 120% of variable costs in the first year, 40% in the second year, and 10% in each of the following three years.

The estimated average number of outboard engine components produced and sold per year is given below:

Year Units produced and sold
1 15,000
2 40,000
3 100,000
4 120,000
5 190,000

Machinery, costing ₦480,000,000, will need to be installed prior to the commencement of component production. K Plc. has enough space in its factory to manufacture the components and therefore will incur no additional rental costs. Tax-allowable depreciation is available on the machinery at 10% on a straight-line basis. The machinery is expected to be sold for ₦160,000,000 at the end of year 5. The company makes sufficient profits from its other activities to take advantage of any tax loss relief available from this project.

Initially, K Plc. will require additional working capital for the project of 20% of the first year’s sales revenue. Thereafter, every ₦1 increase in sales revenue will require a 10% increase in working capital.

Although this would be a major undertaking for the company, it is confident that it can raise the finance required for the machinery and the first year’s working capital. The financing will be through a mixture of a rights issue and a bank loan, in the same proportion as the market values of current equity and debt capital. Any annual increase in working capital after the first year will be financed by internally generated funds.

Marine Engineers (ME) Plc. is a listed company involved in the manufacture of outboard engine components for many years.

Additional data
Extracts from Statement of Financial Position:

The loan notes of ME Plc. are quoted at ₦102 per ₦100

Other Data:

  • Tax rate applicable to K Plc. and ME Plc.: 20%
  • Estimated risk-free rate of return: 3%
  • Historic equity market risk premium: 6%

Required:

a. Given the information on ME Plc. and the project financing mix, including any other relevant information, calculate the project-specific cost of capital. (5 Marks)

b. Assess whether K Plc. should undertake the project of developing and commercializing the major component of outboard engine, assuming a discount rate of 12% as being applicable for the assessment, irrespective of your calculations in (a) above. (22 Marks)

c. State any THREE relevant assumptions made for your calculations in (a) and (b) above. (3 Marks)

(Total 30 Marks)

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FM – May 2022 – L3 – Q5 – Cost of Capital

Calculate market value WACC for JP and discuss its preference over book value WACC for investment appraisals.

The directors of Jindadi Plc. (JP), an Abuja-based entertainment company, are currently considering the appropriate cost of capital to use in appraising capital investments. It is the policy of the company to assess the financial viability of all capital projects using the net present value criterion.

You have been provided with some financial information about the company.

JP has an equity beta of 1.2, and the ex-dividend market value of the company’s equity is N1 billion. The ex-interest market value of the convertible bonds is N168 million, and the ex-dividend market value of the preference shares is N50 million.

The convertible bonds of JP have a conversion ratio of 19 ordinary shares per bond. The conversion date and redemption date are both on the same date in five years’ time. The current ordinary share price of JP is expected to increase by 4% per year for the foreseeable future.

The equity risk premium is 5% per year, and the risk-free rate of return is 4% per year. JP pays profit tax at an annual rate of 30% per year.

Required:

a. Calculate the market value after-tax weighted average cost of capital of JP, explaining clearly any assumptions you make. (10 Marks)

b. Discuss why market value weighted average cost of capital is preferred to book value weighted average cost of capital when making investment decisions. (5 Marks)

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FM – May 2021 – L2 – Q3b – Cost of Capital

Calculate Gbewaa Ghana Ltd’s Weighted Average Cost of Capital

b) Gbewaa Ghana Ltd has issued 10 million shares with a market value of GH¢5 per share. The equity beta of the company is 1.2. The current yield of short-term government debt is 14% per annum, and the equity risk premium is approximately 5% per annum. The debt finance of Gbewaa Ghana Ltd consists of bonds with a book value of GH¢10,000,000. These bonds pay interest at 18% per annum, and the par value and market value of each bond is GH¢100. The company’s tax rate is 25%.

Required:

Calculate Gbewaa Ghana Ltd’s Weighted Average Cost of Capital. (9 marks)

 

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FM – DEC 2023 – L2 – Q5 – Cost of capital | Foreign exchange risk and currency risk management

Calculation of the effective cost of various financing options and explanation of internal strategies to manage foreign currency risk.

a) Markwei Pharmaceuticals Ltd plans to import active ingredients to produce vitamin syrup. The company’s managers are considering three financing options for the cedi equivalent of an invoice value of GH¢2.5 million. The options are detailed below:

Option 1: Use supplier’s credit. The credit term is 1.5/10 net 45.

Option 2: Issue a commercial paper to raise the money from the Ghanaian money market. The commercial paper will pay interest at the rate of 18% per annum. Issue costs totaling GH¢15,000 will be incurred.

Option 3: Obtain a 3-month bank loan. The interest rate on the loan is 22% per annum. Loan arrangement and processing fees are expected to be GH¢5,000.

Required:
i) Compute the effective annual cost of each financing option and recommend the most cost-effective option. (10 marks)
ii) Explain TWO (2) advantages of financing the invoice through the issue of a commercial paper instead of a bank loan. (5 marks)

b) Abongo Shoes Ltd (Abongo) imports leather from Italy. Abongo’s demand for euros to settle its import bills exposes its cash flow to foreign exchange risk. Abongo’s Management is looking for internal strategies they can deploy to hedge the company’s currency risk exposure as external hedging strategies might be too expensive for the company.

Required:
Explain TWO (2) internal strategies for managing foreign currency risk exposures that Abongo’s Management can use. (5 marks)

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FM – Nov 2020 – L2 – Q1b – Cost of capital | Portfolio theory and the capital asset pricing model (CAPM)

Calculate the appropriate discount rate for a new subsidiary in the U.S. using CAPM and Modigliani-Miller Proposition II.

The directors of Fameko Ltd (Fameko), a courier delivery services company based in Ghana, are considering a proposal for setting up a subsidiary in the United States of America to provide courier services in North America. The capital of this new subsidiary will be structured as 20% equity and 80% debt.

The directors are not sure of what would be an appropriate discount rate for appraising the North American business. You have been asked to recommend an appropriate discount rate for this project. You have gathered the following information for this exercise.

  • Competition in the U.S. Courier industry:
    The U.S. courier services industry is highly competitive. If Fameko sets up in the U.S., its main competitor will be ExFed Corporation. ExFed’s capital structure is 70% equity and 30% debt.
  • Market risk:
    The following statistics have been computed from historical excess returns on the equity stock of ExFed Corporation and that on the S&P 500 Index (a proxy for the market portfolio):
S&P 500 Index ExFed Equity Stock
Average return 0.0628 0.0321
Standard Deviation 0.1875 0.1521
Sample Variance 0.0352 0.0231
Kurtosis -1.4335 -1.1121
Skewness -0.2178 -0.1601

You analyzed the correlation between the excess returns on ExFed and excess returns on the S&P 500 Index and obtained a correlation coefficient of 0.91.

  • The annual risk-free rate and market return:
    The annual rate of interest on the 10-year U.S. Treasury bond is 2.1%. The expected return on the S&P 500 Index is 7%.
  • Taxation:
    ExFed pays corporate income tax at the rate of 30%. However, the effective corporate income tax rate on profits from Fameko’s North American operations will be 35%.

Required:

i) Compute the equity beta of ExFed. (3 marks)

ii) Derive an appropriate equity beta for Fameko’s U.S. subsidiary. (4 marks)

iii) Using the capital asset pricing model or the Modigliani and Miller Proposition II with tax, compute an appropriate cost of equity for Fameko’s U.S. subsidiary. (3 marks)

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FM – MAY 2016 – L2 – Q2 – Cost of capital

Calculate SAFOO Ltd's WACC and discuss factors influencing the choice of debt finance, as well as the theoretical ex-right price and value of rights.

a) SAFOO Ltd has in issue 5 million shares with a market value of GH¢3.81 per share. The equity beta of the company is 1.2. The yield on short-term government debt is 23% per year, and the equity risk premium is 5% per year. The debt finance of SAFOO Ltd consists of bonds with a total book value of GH¢2 million. These bonds pay annual interest before tax of 25%. The par value and market value of each bond is GH¢100. The company pays tax at 25%.

Required:
Calculate SAFOO Ltd’s Weighted Average Cost of Capital (WACC).
(10 marks)

b) Choosing an appropriate source of business finance can be a difficult and time-consuming task due to the variety of funding options available. Financing can come in the form of debt or investment, and finance terms can vary significantly.

Required:
i) Discuss FOUR factors that a company should consider when choosing a source of debt finance.
(6 marks)

ii) Explain THREE factors that may be considered by providers of finance in deciding how much to lend to a company.
(3 marks)

c) A company with 20 million shares in issue announces a 2 for 5 rights issue at a price of GH¢3 per share. The market price of the existing shares before the rights issue is GH¢3.70.

Required:
i) What is the theoretical ex-right price?
(3 marks)

ii) What is the theoretical value of the rights?
(3 marks)

 

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FM – MAY 2016 – L2 – Q4 – Capital structure | Cost of capital

Discuss the reasons for pecking order in financing, factors influencing capital structure, and calculate the appropriate cost of capital for Pusher Mining Ltd’s new project.

a) The Directors of Moore Plastics Ltd have been deliberating on the company’s capital structure with a view to identifying an optimal financing mix. Opening the deliberation, the Board Chair remarked, “For the past 10 years, we have deployed a financing strategy of reinvesting as much profit as available. When profit is inadequate, we go for borrowing. New equity offers have been a last resort.”

Required:
i) Explain with THREE reasons why most managers tend to use financing strategies that follow the pecking order. (6 marks)
ii) Identify and explain TWO factors the directors of Moore Plastics Ltd should consider in redesigning the company’s capital structure. (4 marks)

b) Pusher Mining Ltd, a large listed company, operates five mineral concessions in Ghana and Ivory Coast. The company’s financial performance for the past five years has been impressive. The company’s recently published financial results indicate that it earned after-tax profit of GH¢250 million and paid dividends of GH¢50 million out of that profit.

Reserves at two of the five mineral concessions will be exhausted in two years’ time, and stakeholders fear this will adversely affect the company’s profitability. Nevertheless, the directors are aiming at maintaining the company’s dividend payment record. To achieve this, they want to pursue a new project in the oil industry to provide additional cash flows. Though the new project will be financed with existing equity and long-term debts, the directors are not sure what cost of capital to use in appraising the new project.

A summary of the company’s financial position before the new oil project follows:

Item GH¢m
Noncurrent assets 620
Current assets 425
Total assets 1,045
Equity
Stated capital 180
Income surplus 685
Shareholders’ fund 865
Liabilities
Current liabilities 20
Bank loans 40
Bonds 120
Total liabilities 180
Total equity and liabilities 1,045

Notes:

  1. Stated capital: Pusher has in issue 40 million ordinary shares of no par value, all of which are listed on the stock exchange. The current market value of the ordinary stock is GH¢5.5 per share. It is estimated that the market value of the ordinary stock will increase by 8% per annum. The equity beta is 1.25.
  2. Bank loans: These are fixed-rate loans from banks in Ghana. The after-tax cost of the loans is 14.5%.
  3. Bonds: These are 16% coupon bonds with a face value of GH¢100 each. The bonds are currently trading at GH¢98.1 each. In 10 years’ time, the bonds may be either converted into 10 ordinary shares or redeemed at face value at the choice of bondholders. Bondholders are assumed to be rational investors.

If the new oil project is implemented, Pusher Mining Ltd’s main competitor in the oil industry would be Cargo Oil Ltd. The estimated equity beta of the competitor is 1.80 and the market value of its equity stock is GH¢150 million. The long-term debt stock of the competitor is valued at GH¢100 million. The systematic risk of debt stocks is assumed to be zero. The risk-free return is 14% and the market return is 20%. The corporate tax rate is 25%.

Required:
Estimate the appropriate cost of capital Pusher Mining Ltd should use in appraising the new project in the oil industry. Show all relevant computations. (10 marks)

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FM – Nov 2023 – L2 – Q1 – Cost of capital | Economic and regulatory environment

Distinguish between expansionary and contractionary monetary policies, discuss the impact of raising the monetary policy rate, and calculate the cost of equity and WACC for Moli Ltd.

a) Monetary policies are seen either as expansionary or contractionary depending on the level of growth within the economy. The Bank of Ghana, which is responsible for pursuing sound monetary policies, has recently raised the monetary policy rate by 150 basis points.

Required:
i) In reference to the statement above, distinguish between expansionary monetary policy and contractionary monetary policy. (4 marks)
ii) Would you describe the raise in the monetary policy rate as an expansionary or contractionary monetary policy action? Explain. (2 marks)
iii) Explain TWO (2) implications of raising the monetary policy rate for the financial performance of businesses. (4 marks)

b) Moli Ltd is financed by a mixture of equity and debt capital in the ratio of 2:1. The pre-tax cost of debt is 25% whilst the risk-free interest rate is 15%. The available market information puts the average stock market return on equity at 22%. The equity beta value of Moli Ltd has been estimated as 0.9. The corporate tax rate is 30%.

Required:
i) Calculate the cost of equity. (4 marks)
ii) Calculate the weighted average cost of capital. (6 marks)

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FM – NOV 2016 – L2 – Q3 – Cost of capital | Introduction to Investment Appraisal

Evaluates the viability of an investment using NPV and IRR and explains the criteria venture capitalists consider when funding applications.

a) Sakyiama Poultry Farms is considering purchasing a new incubator that will improve its incubation efficiency to 90% as against the current 50%. The incubator, which is to be purchased immediately, will cost GH¢120,000. The incubator has a useful life of 4 years, after which it would be sold for scrap at GH¢10,000. The current contribution of GH¢3 per day-old chick will not change. The number of day-old chicks sold at 12,000 units per annum will increase by 80%. Fixed cost will be GH¢20,000 per annum. Sakyiama Farms has an after-tax cost of capital of 12.5% and pays tax in the year in which profit is made at a rate of 15% per annum. The farm is also entitled to capital allowance at 25% on a reducing balance.

i) Calculate the Net Present Value (NPV) and the viability of the investment. (7 marks)
ii) Calculate the Internal Rate of Return (IRR). (8 marks)

b) Two blue-chip companies – Abu Ltd and Ada Ltd are seeking to raise funds from venture capital to boost their production in order to satisfy demand for their solar-powered refrigeration and air-conditioning systems, which they developed through a joint venture. They have consulted you for advice.

Required:
Explain FIVE conditions that a venture capitalist will consider in accessing an application for funding. (5 marks)

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