Multiple Choice Questions



Revision 2 – Investment Appraisal

Topics List

|1. |Investment Appraisal Methods |Exam Question Reference |

| |a. Payback period | | |

| |Computation & comment | | |

| |Advantages and disadvantages | | |

| |Discounted payback period |Jun 09 |Q2b |

| | |Jun 11 |Q1c |

| |b. Accounting rate of return (ARR) | | |

| |Computation & comment |Pilot |Q4b |

| | |Jun 09 |Q2b |

| | |Dec 12 |Q1b |

| |Advantages and disadvantages | | |

| |c. Net present value (NPV) | | |

| |Computation & comment |Jun 09 |Q2b |

| | |Dec 10 |Q1a,b |

| |Advantages and disadvantages | | |

| |d. Internal rate of return (IRR) | | |

| |Computation & comment |Dec 07 |Q2b |

| | |Jun 08 |Q4b |

| | |Jun 09 |Q2b |

| | |Dec 11 |Q1b |

| |Advantages and disadvantages |Pilot |Q4c |

| | |Jun 10 |Q3c |

|2. |Stages in Capital Investment Projects |Jun 09 |Q2a |

| | | | |

|3. |Determination of relevant and non-relevant cash flows | | |

| | | | |

|4. |Allowing for Tax, Inflation and Working Capital | | |

| |a. Inflation | | |

| |Specific inflation and general inflation |Pilot |Q4a |

| | |Jun 08 |Q4a |

| | |Jun 09 |Q2b |

| | |Dec 10 |Q1a |

| | |Jun 11 |Q1a |

| | |Jun 12 |Q1a |

| | |Dec 12 |Q1a |

| | |Jun 13 |Q1a |

| | |Dec 13 |Q1a |

| | |Jun 14 |Q1a |

| |Real and money interest rate – Fisher’s equation |Pilot |Q4a |

| | |Jun 10 |Q3b |

| | |Jun 13 |Q1b |

| | |Dec 13 |Q1b |

| |b. Taxation |Pilot |Q4a |

| | |Dec 07 |Q2a |

| | |Jun 08 |Q4a |

| | |Dec 08 |Q3b |

| | |Jun 10 |Q3b |

| | |Dec 10 |Q1a |

| | |Jun 11 |Q1a |

| | |Dec 11 |Q1a |

| | |Jun 12 |Q1a |

| | |Dec 12 |Q1a |

| | |Jun 13 |Q1a |

| | |Dec 13 |Q1a,b |

| | |Jun 14 |Q1a |

| |c. Working capital |Jun 08 |Q4a |

| | |Dec 08 |Q3b |

| | |Jun 11 |Q1a |

| | |Dec 11 |Q1a |

| | |Jun 13 |Q1a |

| | |Dec 13 |Q1a,b |

|5. |Project Appraisal and Risk | | |

| |a. Risk and uncertainty |Dec 07 |Q2c |

| | |Jun 11 |Q1c |

| |b. Probability analysis |Dec 07 |Q2c |

| | |Jun 11 |Q1c |

| | |Jun 12 |Q1c |

| |c. Sensitivity analysis |Dec 07 |Q2c |

| | |Jun 11 |Q1c |

| | |Dec 11 |Q1c |

| | |Jun 12 |Q1c |

| |d. Simulation | | |

| |e. Risk-adjusted discount rate |Jun 10 |Q3c(iii) |

| | |Jun 11 |Q1c |

|6. |Asset Investment Decisions | | |

| |a. Lease or buy | | |

| |Numerical analysis |Dec 09 |Q1a,b |

| | |Dec 13 |Q4a |

| |Finance lease meaning | | |

| |Operating lease meaning | | |

| |Attractions of finance lease |Dec 13 |Q4b |

| |Attractions of operating lease |Dec 13 |Q4b |

| |b. Asset acquisition by NPV |Pilot |Q4a |

| | |Dec 07 |Q2a |

| | |Jun 08 |Q4a |

| | |Dec 08 |Q3b |

| |c. Replacement cycles |Dec 09 |Q1b |

| | |Jun 10 |Q3c |

| | |Jun 12 |Q1b |

| |d. Capital rationing | | |

| |Hard (external) and soft (internal) capital rationing |Dec 11 |Q1d |

| | |Jun 14 |Q1c |

| |Single period capital rationing |Dec 09 |Q1d |

| | |Dec 11 |Q1d |

| | |Jun 14 |Q1b |

| |Multi-period capital rationing | | |

Chapter 4 Capital Budgeting and Basic Investment Appraisal Techniques

I. Payback period and NPV

1. Steeperton plc is committed to maximising the wealth of its shareholders.

Given this objective, which one of the following methods of investment appraisal is most appropriate for the company to use?

A Net present value

B Internal rate of return

C Payback period

D Accounting rate of return

2. Virunga Co uses the net present value (NPV) method, the internal rate of return (IRR) method and discounted payback period (DPP) to appraise its new investment opportunities. An investment opportunity was recently appraised using each of these methods and was estimated to provide a positive NPV of $10·5 million, an IRR of 15% and a DPP of three years. Following this appraisal, it was discovered that the cost of capital of the company was lower than had been previously estimated.

What would be the effect (increase/decrease/no effect) on the figures provided by each investment appraisal method of taking account of the lower cost of capital?

| |NPV |IRR |DPP |

|A |Increase |Increase |Decrease |

|B |Increase |No effect |Decrease |

|C |Decrease |No effect |Increase |

|D |No effect |Decrease |No effect |

3. Which ONE of the following methods of investment appraisal is consistent with the objective of shareholder wealth maximisation?

A Net present value

B Internal rate of return

C Accounting rate of return

D Payback period

4. A company is considering a project for investment which will cost $70,000 now and another $10,000 in year five. The company has a cost of capital of 8%. The project has the following discounted cash flows:

|Year |Discounted cash flows |

| |$ |

|1 |23,148 |

|2 |30,007 |

|3 |19,846 |

|4 |14,701 |

What is its discounted payback period in years and months (to the nearest month)?

A 2 years, 10 months

B 3 years, 1 month

C 3 years, 3 months

D 3 years, 6 months

5. The payback period is the number of years that it takes a business to recover its original investment from net returns, calculated

A before both depreciation and taxation

B before deprecation but after taxation

C after deprecation but before taxation

D after both depreciation and taxation

II. Internal rate of return

6. The net present value of a proposed project is $20,000 at a discount rate of 5% and ($28,000) at 10%.

What is the internal rate of return of the project, to the nearest one decimal place?

A 7.1%

B 7.5%

C 2.3%

D 8.6%

7. The net present value of a proposed project is a positive $56,000 at a discount rate of 10% and a negative $28,000 at 20%.

What is the internal rate of return of the project, to the nearest whole percentage?

A 17%

B 13%

C 30%

D 8%

8. Statement 1: Simple payback period takes into account the time value of money and uses cash flows rather than profits.

Statement 2: Internal rate of return takes into account the time value of money and uses cash flows rather than profits.

Which of the above statements is/are true?

A Statement 1 only

B Statement 2 only

C Both statement 1 and statement 2

D Neither statement 1 nor statement 2

9. Sonoran Co recently evaluated an investment project that had an initial cash outlay followed by positive annual net cash flows over its life. The company employed the internal rate of return (IRR) and discounted payback period (DPP) methods for the investment appraisal. Later, it was discovered that the cost of capital figure used was incorrect and that the correct figure was higher.

What will be the effect on the IRR and DPP of correcting for this error?

| |Effect on |

| |IRR |DPP |

|A |No change |No change |

|B |Increase |Increase |

|C |Decrease |Decrease |

|D |No change |Increase |

10. Maia plc is considering investing in two competing projects: Delta and Gamma. Delta has a net present value (NPV) of $16,500 and an internal rate of return (IRR) of 17%. Details of the estimated cash flows of Gamma are as follows:

| |$000 |

|Cash flows | |

|Year 0 |(200) |

|Year 1 |120 |

|Year 2 |60 |

|Year 3 |80 |

The business has a cost of capital of 10%.

Which one of the following combinations is correct concerning the NPV and IRR of the two projects?

| |Delta |Gamma |

|A |Higher NPV |Higher IRR |

|B |Higher NPV |Lower IRR |

|C |Lower NPV |Higher IRR |

|D |Lower NPV |Lower IRR |

11. Calcite Ltd used the NPV and IRR methods of investment appraisal to evaluate a project that has an initial cash outlay followed by annual net cash inflows over its life. After the evaluation had been undertaken, it was discovered that the cost of capital had been incorrectly calculated and that the correct cost of capital figure was in fact higher than that used.

What will be the effect on the NPV and IRR figures of correcting for this error?

| |Effect on |

| |NPV |IRR |

|A |Decrease |Decrease |

|B |Decrease |No change |

|C |Increase |Increase |

|D |Increase |No change |

12. A business evaluates an investment project that has an initial outlay followed by annual net cash inflows of $10 million throughout its infinite life. The evaluation of the inflows produced a present value of $50 million and a profitability (present value) index of 2·0. What is the internal rate of return and initial outlay of this project?

What is the internal rate of return and initial outlay of this project?

| |IRR (%) |Initial outlay ($m) |

|A |20 |25 |

|B |20 |100 |

|C |40 |25 |

|D |10 |100 |

13. Romer plc used the IRR and discounted payback methods of investment appraisal to evaluate an investment proposal that has an initial cash outlay followed by annual net cash inflows over its life. Following this evaluation, it was found that the cost of capital figure used was incorrect and that the correct figure was lower.

What will be the effect on the IRR and discounted payback period of correcting for this error?

| |Effect on |

| |IRR figure |Discounted payback period |

|A |No change |No change |

|B |Increase |Increase |

|C |Decrease |Decrease |

|D |No change |Decrease |

14. ABC Co wishes to undertake a project requiring an investment of $732,000 which will generate equal annual inflows of $146,400 in perpetuity.

If the first inflow from the investment is a year after the initial investment, what is the IRR of the project?

A 20%

B 25%

C 400%

D 500%

15. Which of the following are advantages of the internal rate of return (IRR) approach to investment appraisal?

1 Clear decision rule

2 Takes into account the time value of money

3 Assumes funds are re-invested at the IRR

4 Considers the whole project

A 1, 2 and 4 only

B 2, 3 and 4 only

C 2 and 4 only

D 1, 2 and 3 only

III. Accounting rate of return

16. The following statements about the drawbacks of the accounting rate of return (ARR) were made at a recent meeting:

1. ARR is based on accounting profits and not cash flows, and can change because profits are subject to different possible treatments.

2. ARR only considers cash flows within a given time period and ignores cash flows after that time period.

3. With the ARR method $1 receivable today is worth the same as a $1 in five years. Therefore it ignores the time value of money.

Which combination of the above statements is true?

A 1, 2 and 3

B 1 and 2 only

C 1 and 3 only

D 2 and 3 only

17. A company purchases a non-current asset with a useful economic life of ten years for $1.25 million. It is expected to generate cash flows over the ten year period of $250,000 per annum before depreciation. The company charges depreciation over the life of the asset on a straight-line basis. At the end of the period it will be sold for $250,000.

What is the accounting rate of return for the investment (based on average profits and average investment)?

A 20%

B 15%

C 33%

D 25%

18. Consider the following statements concerning investment appraisal methods.

1. The accounting rate of return method ignores the time value of money.

2. The internal rate of return method ignores the relative size of investments when ranking investment proposals.

3. The net present value method ignores the required returns from investors when ranking investment proposals.

4. The payback method ignores non-operating cash flows relating to an investment proposal when calculating the payback period.

Which two of the above statements are correct?

A 1 and 2

B 1 and 3

C 2 and 4

D 3 and 4

IV. Relevant cash flows

19. An accountant is paid $30,000 per annum and spends two weeks one month working on appraising project Alpha.

Why should the accountant NOT charge half his salary to the project?

A Because his salary is sunk

B Because his salary is not incremental

C Because his salary is not a cash flow

D Because his salary is an opportunity cost

20. Elara plc is considering an investment in a new process. The new process will require an increase in stocks of $30,000 during the first year. There will also be an increase in debtors outstanding of $40,000 and an increase of creditors outstanding of $35,000 during the first year. The new process will use machinery that was purchased immediately before the first year of operations at a cost of $300,000. The machinery is depreciated using the straight-line method and has an estimated life of five years and no residual value. During the first year, the net operating profit before depreciation from the new process is expected to be $180,000. The business uses the net present value method when evaluating investment proposals.

When undertaking the net present value calculations, what would be the estimated net cash flow during the first year of the project? (Ignore taxation)

A $85,000

B $215,000

C $145,000

D $155,000

21. Merton plc is currently considering a new investment project and uses the NPV method for appraisal purposes.

Which one of the following items relating to the project should be included in the NPV appraisal?

A The payment of $30,000 for a market research report, which was commissioned last month and will be paid for next month.

B The apportionment of fixed costs of $10,000 per year over the life of the project to represent a fair share of the total fixed costs of the factory.

C An offer of $100,000 to acquire raw materials that were due to be sold but which will be used in the project if it goes ahead.

D A depreciation charge of $10,000 per year over the life of the project for machinery that will be used in the project.

22. LW Co has a half empty factory on which it pays $5,000 pa. If it takes on a new project, it will have to move to a new bigger factory costing $17,000 pa and it could rent the old factory out for $3,000 pa until the end of the current lease.

What is the rental cost to be included in the project appraisal?

A $14,000

B $17,000

C $9,000

D $19,000

Chapter 5 DCF with Inflation and Taxation

I. Inflation

1. When appraising investment projects using discounted cash flow methods, two approaches to dealing with inflation could be used. These are:

1. to exclude inflation from the estimated future cash flows and to apply a discount rate based on the money cost of capital.

2. to include inflation in the estimated future cash flows and to apply a discount based on the real cost of capital.

Which ONE of the following combinations (true/false) concerning the above statements is correct?

| |Statement 1 |Statement 2 |

|A |True |True |

|B |True |False |

|C |False |True |

|D |False |False |

2. To deal with the effect of inflation when appraising investment projects, two possible approaches can be used. These are:

1. To exclude inflation from the estimated future cash flows and to apply a discount rate expressed in real terms.

2. To adjust the estimated future cash flows by the relevant rates of inflation and to adjust the discount rate to reflect current market rates.

Which one of the following combinations is correct?

| |Statement 1 |Statement 2 |

|A |True |True |

|B |True |False |

|C |False |True |

|D |False |False |

3. The one year rate of inflation is expected to be 3·0%. The one year money rate of interest is 6·3%.

The one year real rate of interest is:

A 3·30%

B 3·20%

C 9·30%

D 9·49%.

4. Dunlin plc is examining an investment opportunity that will lead to savings in staff costs. The company uses the net present value method of investment appraisal based on cash flows expressed in real terms. Staff costs are expected to rise at a rate of 5% each year, whereas the general rate of inflation is expected to rise at a rate of 3% each year. The company has a required rate of return of 10%, assuming no inflation.

What is the appropriate discount rate to use when evaluating the investment opportunity?

A 10%

B 13%

C 13·3%

D 15·5%.

5. Consider the following statements.

When using the net present value method of investment appraisal, the required rate of return from investors is used as the appropriate discount factor. This rate of return should be:

(1) calculated on an after-tax basis

(2) expressed in real terms if the cash flows are expressed in terms of the actual number of dollars to be received.

Which one of the following combinations (true/false) concerning the above statements is correct?

| |Statement 1 |Statement 2 |

|A |True |True |

|B |True |False |

|C |False |True |

|D |False |False |

6. A project consists of a series of cash outflows in the first few years followed by a series of positive cash inflows. The total cash inflows exceed the total cash outflows. The project was originally evaluated assuming a zero rate of inflation.

If the project were re-evaluated on the assumption that the cash flows were subject to a positive rate of inflation, what would be the effect on the payback period and the internal rate of return?

| |Payback |IRR |

|A |Increase |Increase |

|B |Decrease |Decrease |

|C |Decrease |Increase |

|D |Increase |Decrease |

7. Spotty Ltd plans to purchase a machine costing $18,000 to save labour costs. Labour savings would be $10,000 in the first year and labour rates in the second year will increase by 10%. The estimated average annual rate of inflation is 9% and the company’s real cost of capital is estimated at 11%. The machine has a two year life with an estimated actual salvage value of $5,000 receivable at the end of year 2. All cash flows occur at the year end.

What is the NPV (to the nearest $10) of the proposed investment?

A $50

B $270

C $370

D $1,430

8. A project has an initial outflow at year 0 when an asset is bought, then a series of revenue inflows at the end of each year, and then finally sales proceeds from the sale of the asset. Its NPV is $12,000 when general inflation is zero % per year.

If general inflation were to be rise to 7% per year, and all revenue inflows were subject to this rate of inflation but the initial expenditure and resale value of the asset were not subject to inflation, what would happen to the NPV?

A The NPV would remain the same

B The NPV would rise

C The NPV would fall

D The NPV could rise or fall

II. Taxation

9. A company has 31 December as its accounting year end. On 1 January 2014 a new machine costing $2,000,000 is purchased. The company expects to sell the machine on 31 December 2015 for $350,000.

The rate of corporation tax for the company is 30%. Tax-allowable depreciation is obtained at 25% on the reducing balance basis, and a balancing allowance is available on disposal of the asset. The company makes sufficient profits to obtain relief for capital allowances as soon as they arise.

If the company’s cost of capital is 15% per annum, what is the present value of the tax-allowable depreciation at 1 January 2014 (to the nearest thousand dollars)?

A $391,000

B $248,000

C $263,000

D $719,000

10. Jones Ltd plans to spend $90,000 on an item of capital equipment on 1 January 2012. The expenditure is eligible for 25% tax-allowable depreciation, and Jones pays corporation tax at 30%. Tax is paid at the end of the accounting period concerned. The equipment will produce savings of $30,000 per annum for its expected useful life deemed to be receivable every 31 December. The equipment will be sold for $25,000 on 31 December 2015. Jones has a 31 December year end and has a 10% post-tax cost of capital.

What is the present value at 1 January 2012 of the tax savings that result from the capital allowances?

A $13,170

B $15,826

C $16,018

D $19,827

11. A company receives a perpetuity of $20,000 per annum in arrears, and pays 30% corporation tax 12 months after the end of the year to which the cash flows relate.

At a cost of capital of 10%, what is the after tax present value?

A $140,000

B $145,460

C $144,000

D $127,274

III. Incorporating working capital

12. A project has the following projected cash inflows.

Year 1 100,000

Year 2 125,000

Year 3 105,000

Working capital is required to be in place at the start of each year equal to 10% of the cash inflow for that year. The cost of capital is 10%.

What is the present value of the working capital?

A $ Nil

B $(30,036)

C $(2,735)

D $33,000

13. AW Co needs to have $100,000 working capital in place immediately for the start of a 2 year project. The amount will stay constant in real terms. Inflation is running at 10% per annum, and AW Co’s money cost of capital is 12%.

What is the present value of the cash flows relating to working capital?

A $(21,260)

B $(20,300)

C $(108,730)

D $(4,090)

|Question 1 – NPV, IRR and ARR with inflation |

|PV Co is evaluating an investment proposal to manufacture Product W33, which has performed well in test marketing trials conducted |

|recently by the company’s research and development division. The following information relating to this investment proposal has now |

|been prepared: |

| |

|Initial investment |

|$2 million |

| |

|Selling price (current price terms) |

|$20 per unit |

| |

|Expected selling price inflation |

|3% per year |

| |

|Variable operating costs (current price terms) |

|$8 per unit |

| |

|Fixed operating costs (current price terms) |

|$170,000 per year |

| |

|Expected operating cost inflation |

|4% |

| |

| |

|The research and development division has prepared the following demand forecast as a result of its test marketing trials. The |

|forecast reflects expected technological change and its effect on the anticipated life-cycle of Product W33. |

| |

|Year |

|1 |

|2 |

|3 |

|4 |

| |

|Demand (units) |

|60,000 |

|70,000 |

|120,000 |

|45,000 |

| |

| |

|It is expected that all units of Product W33 produced will be sold, in line with the company’s policy of keeping no inventory of |

|finished goods. No terminal value or machinery scrap value is expected at the end of four years, when production of Product W33 is |

|planned to end. For investment appraisal purposes, PV Co uses a nominal (money) discount rate of 10% per year and a target return on |

|capital employed of 30% per year. Ignore taxation. |

| |

|Required: |

| |

|(a) Calculate the following values for the investment proposal: |

|(i) net present value; (5 marks) |

|(ii) internal rate of return, and; (3 marks) |

|(iii) return on capital employed (accounting rate of return) based on average investment. (3 marks) |

|(b) Discuss briefly your findings in each section of (a) above and advise whether the investment proposal is financially acceptable. |

|(4 marks) |

|(15 marks) |

|(ACCA F9 Financial Management Pilot Paper 2014 Q4) |

|Question 2 – NPV, IRR, replacement cycles and project adjusted discount rate |

|The following draft appraisal of a proposed investment project has been prepared for the finance director of OKM Co by a trainee |

|accountant. The project is consistent with the current business operations of OKM Co. |

|Year |

|1 |

|2 |

|3 |

|4 |

|5 |

| |

|Sales (units/yr) |

|250,000 |

|400,000 |

|500,000 |

|250,000 |

| |

| |

| |

|$000 |

|$000 |

|$000 |

|$000 |

|$000 |

| |

|Contribution |

|1,330 |

|2,128 |

|2,660 |

|1,330 |

| |

| |

|Fixed costs |

|(530) |

|(562) |

|(596) |

|(631) |

| |

| |

|Depreciation |

|(438) |

|(438) |

|(437) |

|(437) |

| |

| |

|Interest payments |

|(200) |

|(200) |

|(200) |

|(200) |

| |

| |

|Taxable profit |

|162 |

|928 |

|1,427 |

|62 |

| |

| |

|Taxation |

| |

|(49) |

|(278) |

|(428) |

|(19) |

| |

|Profit after tax |

|162 |

|879 |

|1,149 |

|(366) |

|(19) |

| |

|Scrap value |

| |

| |

| |

|250 |

| |

| |

|After-tax cash flows |

|162 |

|879 |

|1,149 |

|(116) |

|(19) |

| |

|Discount at 10% |

|0.909 |

|0.826 |

|0.751 |

|0.683 |

|0.621 |

| |

|Present values |

|147 |

|726 |

|863 |

|(79) |

|(12) |

| |

| |

|Net present value = 1,645,000 – 2,000,000 = ($355,000) so reject the project. |

| |

|The following information was included with the draft investment appraisal: |

| |

|1. The initial investment is $2 million |

|2. Selling price: $12/unit (current price terms), selling price inflation is 5% per year |

|3. Variable cost: $7/unit (current price terms), variable cost inflation is 4% per year |

|4. Fixed overhead costs: $500,000/year (current price terms), fixed cost inflation is 6% per year |

|5. $200,000/year of the fixed costs are development costs that have already been incurred and are being recovered by an annual charge |

|to the project |

|6. Investment financing is by a $2 million loan at a fixed interest rate of 10% per year |

|7. OKM Co can claim 25% reducing balance capital allowances on this investment and pays taxation one year in arrears at a rate of 30% |

|per year |

|8. The scrap value of machinery at the end of the four-year project is $250,000 |

|9. The real weighted average cost of capital of OKM Co is 7% per year |

|10. The general rate of inflation is expected to be 4.7% per year |

| |

|Required: |

| |

|(a) Identify and comment on any errors in the investment appraisal prepared by the trainee accountant. (5 marks) |

|(b) Prepare a revised calculation of the net present value of the proposed investment project and comment on the project’s |

|acceptability. (12 marks) |

|(c) Discuss the problems faced when undertaking investment appraisal in the following areas and comment on how these problems can be |

|overcome: |

|(i) assets with replacement cycles of different lengths; |

|(ii) an investment project has several internal rates of return; |

|(iii) the business risk of an investment project is significantly different from the business risk of current operations. (8 marks) |

|(25 marks) |

|(ACCA F9 Financial Management June 2010 Q3) |

|Question 3 – NPV with inflation, working capital changes and discussion with risk incorporation |

|BRT Co has developed a new confectionery line that can be sold for $5·00 per box and that is expected to have continuing popularity for |

|many years. The Finance Director has proposed that investment in the new product should be evaluated over a four-year time-horizon, even |

|though sales would continue after the fourth year, on the grounds that cash flows after four years are too uncertain to be included in |

|the evaluation. The variable and fixed costs (both in current price terms) will depend on sales volume, as follows. |

| |

|Sales volume (boxes) |

|less than 1 million |

|1 – 1.9 million |

|2 – 2.9 million |

|3 – 3.9 million |

| |

|Variable costs ($ per box) |

|2.8 |

|3.00 |

|3.00 |

|3.05 |

| |

|Total fixed costs ($) |

|1 million |

|1.8 million |

|2.8 million |

|3.8 million |

| |

| |

|Forecast sales volumes are as follows. |

| |

|Year |

|1 |

|2 |

|3 |

|4 |

| |

|Demand (boxes) |

|0.7 million |

|1.6 million |

|2.1 million |

|3.0 million |

| |

| |

|The production equipment for the new confectionery line would cost $2 million and an additional initial investment of $750,000 would be |

|needed for working capital. Capital allowances (tax-allowable depreciation) on a 25% reducing balance basis could be claimed on the cost |

|of equipment. Profit tax of 30% per year will be payable one year in arrears. A balancing allowance would be claimed in the fourth year |

|of operation. |

| |

|The average general level of inflation is expected to be 3% per year and selling price, variable costs, fixed costs and working capital |

|would all experience inflation of this level. BRT Co uses a nominal after-tax cost of capital of 12% to appraise new investment projects.|

| |

|Required: |

| |

|(a) Assuming that production only lasts for four years, calculate the net present value of investing in the new product using a nominal |

|terms approach and advise on its financial acceptability (work to the nearest $1,000). (13 marks) |

|(b) Comment briefly on the proposal to use a four-year time horizon, and calculate and discuss a value that could be placed on after-tax |

|cash flows arising after the fourth year of operation, using a perpetuity approach. Assume, for this part of the question only, that |

|before-tax cash flows and profit tax are constant from year five onwards, and that capital allowances and working capital can be ignored.|

|(5 marks) |

|(c) Discuss THREE ways of incorporating risk into the investment appraisal process. |

|(7 marks) |

|(25 marks) |

|(ACCA F9 Financial Management June 2011 Q1) |

|Question 4 – NPV with nominal and real approach, working capital changes |

|HDW Co is a listed company which plans to meet increased demand for its products by buying new machinery costing $5 million. The |

|machinery would last for four years, at the end of which it would be replaced. The scrap value of the machinery is expected to be 5% |

|of the initial cost. Capital allowances would be available on the cost of the machinery on a 25% reducing balance basis, with a |

|balancing allowance or charge claimed in the final year of operation. |

| |

|This investment will increase production capacity by 9,000 units per year and all of these units are expected to be sold as they are |

|produced. Relevant financial information in current price terms is as follows: |

| |

| |

| |

|Forecast inflation |

| |

|Selling price |

|$650 per unit |

|4.0% per year |

| |

|Variable cost |

|$250 per unit |

|5.5% per year |

| |

|Incremental fixed costs |

|$250,000 per year |

|5.0% per year |

| |

| |

|In addition to the initial cost of the new machinery, initial investment in working capital of $500,000 will be required. Investment |

|in working capital will be subject to the general rate of inflation, which is expected to be 4·7% per year. |

| |

|HDW Co pays tax on profits at the rate of 20% per year, one year in arrears. The company has a nominal (money terms) after-tax cost of|

|capital of 12% per year. |

| |

|Required: |

| |

|(a) Calculate the net present value of the planned purchase of the new machinery using a nominal (money terms) approach and comment on|

|its financial acceptability. |

|(14 marks) |

|(b) Discuss the difference between a nominal (money terms) approach and a real terms approach to calculating net present value. (5 |

|marks) |

|(c) Identify TWO financial objectives of a listed company such as HDW Co and discuss how each of these financial objectives is |

|supported by the planned investment in new machinery. (6 marks) |

|(25 marks) |

|(ACCA F9 Financial Management June 2013 Q1) |

Chapter 6 Project Appraisal and Risk

I. Sensitivity analysis

1. The following financial information relates to an investment project:

| |$000 |

|Present value of sales revenue |50,025 |

|Present value of variable costs |25,475 |

|Present value of contribution |24,550 |

|Present value of fixed costs |18,250 |

|Present value of operating income |6,300 |

|Initial investment |5,000 |

|Net present value |1,300 |

What is the sensitivity of the net present value of the investment project to a change in sales volume?

A 7·1%

B 2·6%

C 5·1%

D 5·3%

(ACCA F9 Financial Management Pilot Paper 2014)

2. Arnold is contemplating purchasing for $280,000 a machine which he will use to produce 50,000 units of a product per annum for five years. These products will be sold for $10 each and unit variable costs are expected to be $6. Incremental fixed costs will be $70,000 per annum for production costs and $25,000 per annum for selling and administration costs. Arnold has a required return of 10% per annum.

By how many units must the estimate of production and sales volume fall for the project to be regarded as not worthwhile?

A 2,875

B 7,785

C 8,115

D 12,315

3. A project has the following cash flows.

T0 Outflow $110,000

T1-4 Inflow $40,000

At the company’s cost of capital of 10% the NPV of the project is $16,800.

Applying sensitivity analysis to the cost of capital, what percentage change in the cost of capital would cause the project NPV to fall to zero.?

A 70%

B 17%

C 5%

D 41%

II. Expected value

4. A risk averse investor is considering four mutually exclusive investments, which have the following characteristics:

|Project |Expected return |Standard deviation of expected returns |

|Alpha |15% |5% |

|Beta |14% |8% |

|Gamma |25% |10% |

|Delta |12% |5% |

Which two of the above investments will the investor immediately REJECT?

A Alpha and Beta

B Alpha and Gamma

C Gamma and Delta

D Beta and Delta

5. When using the expected value criterion, it is assumed that the individual wants to

A Minimise risk for a given level of return

B Maximise return for a given level of risk

C Minimise risk irrespective of the level of return

D Maximise return irrespective of the level of risk

6. The lower risk of a project can be recognized by increasing

A The cost of the initial investment of the project

B The estimates of future cash inflows from the project

C The internal rate of return of the project

D The required rate of return of the project

7. Which of the following are true in respect of using expected values in net present value calculations?

1 Appropriate for one-off events

2 Hides risk

3 Probably won’t actually occur

4 Eliminates uncertainty

A 1, 2 and 3 only

B 3 and 4 only

C 2 and 3 only

D 1, 2 and 4

8. Sales volumes are expected to be either 20,000 units with 60% probability or they are expected to be 25,000 units. Price will either be $10 (0.3 probability) or else $15. Margins are expected to be 30% or 40% of sales with an even chance of each.

What is the expected total cost?

A $103,950

B $193,050

C $297,000

D $105,000

III. Simulation

9. When considering investment appraisal under uncertainty, a simulation exercise

A Considers the effect of changing one variable at a time

B Considers the impact of many variables changing at the same time

C Points directly to the correct investment decision

D Assesses the likelihood of a variable changing

10. What is the main advantage of using simulations to assist in investment appraisal?

A A clear decision rule

B More than one variable can change at a time

C Statistically more accurate than other methods

D Being diagrammatic it is easier to understand

|Question 5 – Risk, uncertainty, payback, sensitivity analysis and ENPV |

|Umunat plc is considering investing $50,000 in a new machine with an expected life of five years. The machine will have no scrap value |

|at the end of five years. It is expected that 20,000 units will be sold each year at a selling price of $3·00 per unit. Variable |

|production costs are expected to be $1·65 per unit, while incremental fixed costs, mainly the wages of a maintenance engineer, are |

|expected to be $10,000 per year. Umunat plc uses a discount rate of 12% for investment appraisal purposes and expects investment |

|projects to recover their initial investment within two years. |

| |

|Required: |

| |

|(a) Explain why risk and uncertainty should be considered in the investment appraisal process. (5 marks) |

|(b) Calculate and comment on the payback period of the project. (4 marks) |

|(c) Evaluate the sensitivity of the project’s net present value to a change in the following project variables: |

|(i) sales volume; |

|(ii) sales price; |

|(iii) variable cost; |

|and discuss the use of sensitivity analysis as a way of evaluating project risk. |

|(10 marks) |

| |

|(d) Upon further investigation it is found that there is a significant chance that the expected sales volume of 20,000 units per year |

|will not be achieved. The sales manager of Umunat plc suggests that sales volumes could depend on expected economic states that could |

|be assigned the following probabilities: |

| |

|Economic state |

|Poor |

|Normal |

|Good |

| |

|Probability |

|0.3 |

|0.6 |

|0.1 |

| |

|Annual sales volume (units) |

|17,500 |

|20,000 |

|22,500 |

| |

| |

|Calculate and comment on the expected net present value of the project. (6 marks) |

|(25 marks) |

|(ACCA 2.4 Financial Management and Control December 2004 Q5) |

|Question 6 – ENPV |

|Carcross Co engages in off-shore drilling operations for oil deposits. The company has recently spent $5 million in surveying a region |

|in the Gulf of Mexico and has found the existence of significant oil deposits there. The sea bed in the region, however, has a rock |

|formation that may make access to the oil deposits difficult. The total oil deposits in the region have been estimated at 30 million |

|barrels but the amount extracted will vary according to the conditions faced when drilling operations commence. The company’s senior |

|geologist believes that three possible outcomes are likely from drilling operations and has made the following estimates concerning the|

|percentage of total oil deposits that will be extracted under each outcome: |

| |

|Outcome |

|Percentage of total oil deposits extracted |

|Probability |

| |

|1 |

|100% |

|0.1 |

| |

|2 |

|40% |

|0.5 |

| |

|3 |

|25% |

|0.4 |

| |

| |

|If the company decides to go ahead with the drilling operation, an immediate payment of $40 million for drilling rights, along with |

|annual payments of $5 for each barrel of oil extracted must be made to the Mexican government. Equipment costing $125 million must be |

|acquired immediately but drilling will not commence until the second year of the four-year licence period. It is expected that, |

|whichever of the above outcomes arise, the oil will be extracted evenly over the drilling period. Annual operating costs (excluding any|

|payments to the Mexican government) will be $120 million in the first year and $160 million for each of the remaining three years of |

|the licence. At the end of the licence period, the equipment will be sold at a price that is equal to its original cost less $8 for |

|each barrel of oil that has been extracted. |

| |

|Oil prices over the period of the drilling licence are estimated to be as follows: |

| |

|Year |

|Price per barrel |

| |

|1 |

|$70 |

| |

|2 |

|$85 |

| |

|3 |

|$75 |

| |

|4 |

|$100 |

| |

| |

|The company has a cost of capital of 14%. |

|Workings should be in $millions and to one decimal place. |

| |

|Required: |

| |

|(a) Calculate the expected net present value (ENPV) of the investment proposal. |

|(10 marks) |

|(b) Calculate the net present value of the worst possible outcome. (5 marks) |

|(c) Comment on the results of your calculations in (a) and (b) above. (2 marks) |

|(d) Discuss the weaknesses of the ENPV approach for decision-making purposes. |

|(3 marks) |

|(20 marks) |

Chapter 7 Asset Investment Decisions and Capital Rationing

I. Lease or Buy

1. Consider the following two statements concerning finance leasing.

1. The lessor is responsible for the maintenance and servicing of the asset

2. The period of the lease will cover all, or substantially all, of the useful economic life of the leased asset.

Which one of the following combinations (true/false) concerning the above statements is correct?

| |Statement 1 |Statement 2 |

|A |True |True |

|B |True |False |

|C |False |True |

|D |False |False |

2. Which of the following relate to finance leases as opposed to operating leases?

1 Maintained and insured by the lessor

2 Asset appears on statement of financial position of lessee

3 Equipment leased for a shorter period than its expected useful life

A 2 only

B 1 and 2 only

C 2 and 3 only

D 1 and 3 only

3. AB Co is considering either leasing an asset or borrowing to buy it, and is attempting to analyse the options by calculating the net present value of each. When comparing the two, AB Co is uncertain whether they should include interest payments in their option to ‘borrow and buy’ as it is a future, incremental cash flow associated with that option. They are also uncertain which discount rate to use in the net present value calculation for the lease option.

How should AB Co treat the interest payments and what discount rate should they use?

| |Include interest? |Discount rate |

|A |Yes |After tax cost of the loan if they borrow and buy |

|B |Yes |AB Co’s WACC |

|C |No |After tax cost of the loan if they borrow and buy |

|D |No |AB Co’s WACC |

|Question 7 – Purchase or Lease the New Machine |

|AGD Co is a profitable company which is considering the purchase of a machine costing £320,000. If purchased, AGD Co would incur annual|

|maintenance costs of £25,000. The machine would be used for three years and at the end of this period would be sold for £50,000. |

|Alternatively, the machine could be obtained under an operating lease for an annual lease rental of £120,000 per year, payable in |

|advance. |

| |

|AGD Co can claim capital allowances on a 25% reducing balance basis. The company pays tax on profits at an annual rate of 30% and all |

|tax liabilities are paid one year in arrears. AGD Co has an accounting year that ends on 31 December. If the machine is purchased, |

|payment will be made in January of the first year of operation. If leased, annual lease rentals will be paid in January of each year of|

|operation. |

| |

|Required: |

| |

|(a) Using an after-tax borrowing rate of 7%, evaluate whether AGD Co should purchase or lease the new machine. (12 marks) |

|(b) Explain and discuss the key differences between an operating lease and a finance lease. (8 marks) |

|(Amended ACCA Paper 2.4 Financial Management and Control December 2005 Q4) |

|Question 8 – Purchase or Lease the New Machine |

|Spot Co is considering how to finance the acquisition of a machine costing $750,000 with an operating life of five years. There are |

|two financing options. |

| |

|Option 1 |

|The machine could be leased for an annual lease payment of $155,000 per year, payable at the start of each year. |

| |

|Option 2 |

|The machine could be bought for $750,000 using a bank loan charging interest at an annual rate of 7% per year. At the end of five |

|years, the machine would have a scrap value of 10% of the purchase price. If the machine is bought, maintenance costs of $20,000 per |

|year would be incurred. |

| |

|Taxation must be ignored. |

| |

|Required: |

| |

|(a) Evaluate whether Spot Co should use leasing or borrowing as a source of finance, explaining the evaluation method which you use. |

|(10 marks) |

|(b) Discuss the attractions of leasing as a source of both short-term and long-term finance. |

|(5 marks) |

|(Adapted ACCA F9 Financial Management December 2013 Q4(a)& (b) |

II. Asset Replacement Decision

4. A company buys a machine for $10,000 and sells it for $2,000 at year 3. Running costs of the machine are: year 1 = $3,000; year 2 = $5,000; year 3 = $7,000.

If a series of machines are brought, run and sold on an infinite cycle of replacements, what is the equivalent annual cost of the machine if the discount rate is 10%?

A $22,114

B $8,288

C $246

D $7,371

5. PD Co is deciding whether to replace its delivery vans every year or every other year. The initial cost of a van is $20,000. Maintenance costs would be nil in the first year, and $5,000 at the end of the second year. Second-hand value would fall from $10,000 to $8,000 if it held on to the van for two years instead of just one. PD Co’s cost of capital is 10%.

How often should PD Co replace their vans, and what is the annual equivalent cost (‘EAC’) of that option?

| |Replace every |EAC ($) |

|A |1 |10,910 |

|B |1 |12,002 |

|C |2 |10,093 |

|D |2 |8,761 |

6. A professional kitchen is attempting to choose between gas and electricity for its main heat source. Once a choice is made, the kitchen intends to keep to that source indefinitely. Each gas oven has a net present value (NPV) of $50,000 over its useful life of 5 years. Each electric oven has an NPV of $68,000 over its useful life of 7 years. The cost of capital is 8%.

Which should the kitchen choose and why?

A Gas because its average NPV per year is higher than electric

B Electric because its NPV is higher than gas

C Electric because its equivalent annual benefit is higher

D Electric because it lasts longer than gas

|Question 9 – Purchase of New Machine and IRR |

|Duo Co needs to increase production capacity to meet increasing demand for an existing product, ‘Quago’, which is used in food |

|processing. A new machine, with a useful life of four years and a maximum output of 600,000 kg of Quago per year, could be bought for |

|$800,000, payable immediately. The scrap value of the machine after four years would be $30,000. Forecast demand and production of |

|Quago over the next four years is as follows: |

| |

|Year |

|1 |

|2 |

|3 |

|4 |

| |

|Demand (units) |

|1.4 million |

|1.5 million |

|1.6 million |

|1.7 million |

| |

| |

|Existing production capacity for Quago is limited to one million kilograms per year and the new machine would only be used for demand |

|additional to this. |

| |

|The current selling price of Quago is $8.00 per kilogram and the variable cost of materials is $5.00 per kilogram. Other variable |

|costs of production are $1.90 per kilogram. Fixed costs of production associated with the new machine would be $240,000 in the first |

|year of production, increasing by $20,000 per year in each subsequent year of operation. |

| |

|Duo Co pays tax one year in arrears at an annual rate of 30% and can claim capital allowances (tax-allowable depreciation) on a 25% |

|reducing balance basis. A balancing allowance is claimed in the final year of operation. |

| |

|Duo Co uses its after-tax weighted average cost of capital when appraising investment projects. It has a cost of equity of 11% and a |

|before-tax cost of debt of 8·6%. The long-term finance of the company, on a market-value basis, consists of 80% equity and 20% debt. |

| |

|Required: |

| |

|(a) Calculate the net present value of buying the new machine and advise on the acceptability of the proposed purchase (work to the |

|nearest $1,000). (13 marks) |

|(b) Calculate the internal rate of return of buying the new machine and advise on the acceptability of the proposed purchase (work to |

|the nearest $1,000). |

|(4 marks) |

|(c) Explain the difference between risk and uncertainty in the context of investment appraisal, and describe how sensitivity analysis |

|and probability analysis can be used to incorporate risk into the investment appraisal process. (8 marks) |

|(Total 25 marks) |

|(ACCA F9 Financial Management December 2007 Q2) |

|Question 10 – NPV, Equivalent Annual Cost, Sensitivity and Profitability Analysis |

|Ridag Co is evaluating two investment projects, as follows. |

| |

|Project 1 |

|This is an investment in new machinery to produce a recently-developed product. The cost of the machinery, which is payable |

|immediately, is $1·5 million, and the scrap value of the machinery at the end of four years is expected to be $100,000. Capital |

|allowances (tax-allowable depreciation) can be claimed on this investment on a 25% reducing balance basis. Information on future |

|returns from the investment has been forecast to be as follows: |

| |

|Year |

|1 |

|2 |

|3 |

|4 |

| |

|Sales volume (units/year) |

|50,000 |

|95,000 |

|140,000 |

|75,000 |

| |

|Selling price ($/unit) |

|25.00 |

|24.00 |

|23.00 |

|23.00 |

| |

|Variable cost ($/unit) |

|10.00 |

|11.00 |

|12.00 |

|12.50 |

| |

|Fixed costs ($/year) |

|105,000 |

|115,000 |

|125,000 |

|125,000 |

| |

| |

|This information must be adjusted to allow for selling price inflation of 4% per year and variable cost inflation of 2·5% per year. |

|Fixed costs, which are wholly attributable to the project, have already been adjusted for inflation. Ridag Co pays profit tax of 30% |

|per year one year in arrears. |

| |

|Project 2 |

|Ridag Co plans to replace an existing machine and must choose between two machines. Machine 1 has an initial cost of $200,000 and will |

|have a scrap value of $25,000 after four years. Machine 2 has an initial cost of $225,000 and will have a scrap value of $50,000 after |

|three years. Annual maintenance costs of the two machines are as follows: |

| |

|Year |

|1 |

|2 |

|3 |

|4 |

| |

|Machine 1 ($/year) |

|25,000 |

|29,000 |

|32,000 |

|35,000 |

| |

|Machine 2 ($/year) |

|15,000 |

|20,000 |

|25,000 |

| |

| |

| |

|Where relevant, all information relating to Project 2 has already been adjusted to include expected future inflation. Taxation and |

|capital allowances must be ignored in relation to Machine 1 and Machine 2. |

| |

|Other information |

|Ridag Co has a nominal before-tax weighted average cost of capital of 12% and a nominal after-tax weighted average cost of capital of |

|7%. |

|Required: |

| |

|(a) Calculate the net present value of Project 1 and comment on whether this project is financially acceptable to Ridag Co. (12 marks) |

|(b) Calculate the equivalent annual costs of Machine 1 and Machine 2, and discuss which machine should be purchased. (6 marks) |

|(c) Critically discuss the use of sensitivity analysis and probability analysis as ways of including risk in the investment appraisal |

|process, referring in your answer to the relative effectiveness of each method. (7 marks) |

|(25 marks) |

|(ACCA F9 Financial Management June 2012 Q1) |

III. Capital Rationing

7. The profitability index may be used in investment decisions where capital rationing exists. In this context, when selecting investments for an optimal portfolio, the use of the profitability index is appropriate only where:

1. projects are divisible.

2. capital rationing occurs within a single investment period.

Which one of the following combinations (true/false) relating to the above statements is correct?

| |Statement 1 |Statement 2 |

|A |True |True |

|B |True |False |

|C |False |True |

|D |False |False |

8. Glarus Co is considering four separate investment opportunities but only has limited funds to invest during the current year. This means that the company will not be able to invest fully in all four opportunities. Each investment opportunity is divisible (i.e. it is possible to undertake part of an investment and to receive a pro rata return). Details of each investment opportunity are as follows:

|Investment opportunity |Initial outlay |PV of net cash inflows |

| |$m |$m |

|Kurai |186 |211 |

|Barisan |65 |84 |

|Carnic |100 |120 |

|Flinders |50 |71 |

How should the investment opportunities be ranked if Glarus Co wishes to maximise the wealth of its shareholders?

| |Project ranking |

| |1st |2nd |3rd |4th |

|A |Flinders |Barisan |Carnic |Kurai |

|B |Kurai |Carnic |Barisan |Flinders |

|C |Flinders |Carnic |Barisan |Kurai |

|D |Kurai |Flinders |Carnic |Barisan |

9. Thera Co is considering an investment in one of two mutually-exclusive projects. The company is committed to maximising the wealth of its shareholders. Details of each project, which have the same level of risk, are as follows:

| |Discounted payback |Profitability index |Internal rate of return|Net present value |

|Project Alpha |3 years |1.5 |18% |$80,000 |

|Project Beta |4 years |1.6 |19% |$75,000 |

Which project should be selected and for what reason?

A Project Alpha because it has the shorter discounted payback period

B Project Alpha because it has the higher net present value

C Project Beta because it has the higher profitability index

D Project Beta because it has the higher internal rate of return

10. Where there is capital rationing, the profitability index (PI) may be used to rank investment projects with a positive net present value. It has been claimed that using the PI is appropriate only when:

1. Capital rationing is for a single period.

2. The investment projects are indivisible.

Which ONE of the following combinations (true/false) concerning the above statements is correct?

| |Statement 1 |Statement 2 |

|A |True |True |

|B |True |False |

|C |False |True |

|D |False |False |

11. A company has $500,000 available for investment and is considering the following four divisible, but not repeatable, projects to invest in:

| |Initial outlay |Net present value |Profitability index |

|Project One |$300,000 |$60,000 |1.20 |

|Project Two |$100,000 |$40,000 |1.40 |

|Project Three |$200,000 |$50,000 |1.25 |

|Project Four |$150,000 |$45,000 |1.30 |

What is the maximum net present value the company can generate from its investment?

A $195,000

B $145,000

C $135,000

D $110,000

12. Fulmar plc is currently considering three investment opportunities. Details of each opportunity are given below:

| |Investment opportunity |

| |Alpha |Beta |Gamma |

| |$m |$m |$m |

|Initial outlay |80 |140 |90 |

|Future net inflows | | | |

|– Year 1 |190 |180 |10 |

|– Year 2 |10 |120 |220 |

The company has a capital budget that is restricted in the year of the investment and it will not be possible to undertake all three projects in full. The investment opportunities are independent of one another and each project is divisible (that is, it is possible to undertake part of an investment and to receive a pro rata return). The cost of capital of the company is 12 per cent and the company uses the net present value method of investment appraisal.

Which of the following is the correct ranking of the three investment opportunities?

| |Ranking |

| |1 |2 |3 |

|A |Alpha |Gamma |Beta |

|B |Beta |Gamma |Alpha |

|C |Beta |Alpha |Gamma |

|D |Gamma |Alpha |Beta |

13. Purus plc is considering four possible investment projects for the current year but has only a limited amount to invest. As a result it will not be able to undertake in full all of the projects available. All of the projects are divisible (i.e. it is possible to undertake part of a project and to receive a pro rata return). Details of each project are as follows:

|Project |Investment outlay |Present value of net cash inflows |

| |$m |$m |

|Japura |40 |48 |

|Branco |45 |64 |

|Tapajos |60 |66 |

|Napo |70 |92 |

In what order should they be ranked if the business wishes to maximise the wealth of its shareholders?

| |Project ranking |

| |1 |2 |3 |4 |

|A |Japura |Branco |Tapajos |Napo |

|B |Tapajos |Branco |Japura |Napo |

|C |Branco |Napo |Japura |Tapajos |

|D |Napo |Tapajos |Branco |Japura |

14. Keble plc is considering an investment project that has an initial outlay followed by constant annual net cash inflows throughout its infinite life. The present value of the project is $40 million and the internal rate of return on the project is 20%. The project has a profitability (present value) index of 4·0.

What are the annual net cash inflows and initial outlay of this project?

| |Annual net cash inflows ($m) |Initial outlay |

| | |($m) |

|A |1.6 |8.0 |

|B |2.0 |10.0 |

|C |50.0 |10.0 |

|D |32.0 |160.0 |

15. The directors of Hybris plc are considering the following investment projects:

| |Initial outlay |Total present value |

| |$000 |$000 |

|Project – Leo |450 |560 |

|Project – Taurus |285 |370 |

|Project – Pisces |240 |330 |

The directors have a limited capital expenditure budget and cannot invest in all profitable projects. All projects are divisible.

Assuming that the company wishes to maximise the wealth of its shareholders, what should be the order of priority for the three projects?

| |Order of priority |

| |Leo |Taurus |Pisces |

|A |1 |3 |2 |

|B |1 |2 |3 |

|C |3 |2 |1 |

|D |2 |3 |1 |

16. Which of the following are potentially practical ways of attempting to deal with a capital constraint?

1 Lease

2 Joint venture

3 Delay one or more of the projects

A 1 and 3 only

B 2 and 3 only

C 1 and 2 only

D 1, 2 and 3

|Question 11 – Capital rationing and relevant cash flows |

|Basril plc is reviewing investment proposals that have been submitted by divisional managers. The investment funds of the company are |

|limited to $800,000 in the current year. Details of three possible investments, none of which can be delayed, are given below. |

| |

|Project 1 |

|An investment of $300,000 in work station assessments. Each assessment would be on an individual employee basis and would lead to |

|savings in labour costs from increased efficiency and from reduced absenteeism due to work-related illness. Savings in labour costs |

|from these assessments in money terms are expected to be as follows: |

| |

|Year |

|1 |

|2 |

|3 |

|4 |

|5 |

| |

|Cash flows ($000) |

|85 |

|90 |

|95 |

|100 |

|95 |

| |

| |

|Project 2 |

|An investment of $450,000 in individual workstations for staff that is expected to reduce administration costs by $140,800 per annum in|

|money terms for the next five years. |

| |

| |

|Project 3 |

|An investment of $400,000 in new ticket machines. Net cash savings of $120,000 per annum are expected in current price terms and these |

|are expected to increase by 3·6% per annum due to inflation during the five-year life of the machines. |

| |

|Basril plc has a money cost of capital of 12% and taxation should be ignored. |

| |

|Required: |

| |

|(a) Determine the best way for Basril plc to invest the available funds and calculate the resultant NPV: |

|(i) on the assumption that each of the three projects is divisible; |

|(ii) on the assumption that none of the projects are divisible. (10 marks) |

|(b) Explain how the NPV investment appraisal method is applied in situations where capital is rationed. (3 marks) |

|(c) Discuss the reasons why capital rationing may arise. (7 marks) |

|(d) Discuss the meaning of the term ‘relevant cash flows’ in the context of investment appraisal, giving examples to illustrate your |

|discussion. (5 marks) |

|(25 marks) |

|(ACCA 2.4 Financial Management and Control December 2003 Q3) |

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