Exam 13: Capital Investment Decisions: Appraisal Methods

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The internal rate of return model assumes that all net cash inflows are reinvested at the:

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If NPV and IRR produce different rankings, which method should be used in choosing investment projects?

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Van Dyke Company is evaluating a capital expenditure proposal that has the following predicted cash flows: Original investment £45,000 Year 1 £17,500 Year 2 25,000 Year 3 15,000 Salvage value -0- Discount rate 14\% a.Net present value of the investment b.Proposal's internal rate of return c.Payback period

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a.
 Period  Cash Flow  Present Value Factor  Present Value 1£17,5000.877£15,347.50225,0000.76919,255.00315,0000.675−10,125.00‾ Total present value £44,697.50 Less original investment −45,000.00 Net present value £(302.50)‾\begin{array}{lrcr}\text { Period } & \text { Cash Flow } & \text { Present Value Factor } & \text { Present Value } \\1 & £ 17,500 & 0.877 & £ 15,347.50 \\2 & 25,000 & 0.769 & 19,255.00 \\3 & 15,000 & 0.675 & -\underline{10,125.00} \\\text { Total present value } & & & £ 44,697.50 \\\text { Less original investment } & & & -45,000.00 \\\text { Net present value } & & & \underline{£(302.50)}\end{array}

b. Approximately 14%

c. 2+£2,500/£15,000=2.1672 + £ 2,500 / £ 15,000 = 2.167 years

A firm is evaluating a project that has a net present value of £0 when a discount rate of 8 per cent is used. A discount rate of 10 per cent will result in

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The present value of £2,000 to be received three years from now and earning a 12 per cent return is

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Why do the NPV method and the IRR method sometimes produce different rankings of mutually exclusive investment projects?

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Which of the following methods uses income instead of cash flows?

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Maxim, Inc., is considering two mutually exclusive projects. Project 1 requires an investment of £40,000, while Project 2 requires an investment of £30,000. Cash revenues and cash costs for each project are shown below. \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad  PROJECT 1\text { PROJECT } 1 YEAR 1 2 3 4 Revenues £13,000 £18,000 £35,000 £25,000 Variable costs 7,000 9,000 12,000 12,000 Fixed costs 1,000 2,000 3,000 1,000 \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad  PROJECT 2\text { PROJECT } 2 YEAR 1 2 3 4 Revenues £22,000 £38,000 £16,000 £9,000 Variable costs 12,000 21,000 8,000 5,000 Fixed costs 4,000 3,000 2,000 1,000 The company estimates that at the end of the fourth year Project 1 would have a salvage value of £3,000 and Project 2 would have a salvage value of £1,000. a.Determine the net present value of EACH project using a 16 per cent discount rate. b.Prepare a memorandum for management stating your recommendation. Include supporting calculations in good form.

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If the annual cash flows are an annuity (equal each period), payback is calculated as

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Ducky Pizza Restaurant purchases a van to deliver pizzas to their customers. The van costs £28,000 and is projected to increase revenues by £10,000 a year and to increase costs by £4,500. The payback period for this van is

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A firm is considering a project with annual cash flows of £75,000. The project would have a 7-year life, and the company uses a discount rate of 10 per cent. What is the maximum amount the company could invest in the project and the project still be acceptable?

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A firm is considering a project with annual cash flows of £40,000. The project would have a 10-year life, and the company uses a discount rate of 8 per cent. What is the maximum amount the company could invest in the project and the project still be acceptable?

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Which of the following methods assumes a reinvestment rate equal to the discount rate?

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A capital investment project requires an investment of £75,000 and has an expected life of four years. Annual cash flows at the end of each year are expected to be as follows: Year Amount 1 £40,000 2 £30,000 3 £10,000 4 £35,000 a.Compute payback assuming that the cash flows occur evenly throughout the year. b.Compute the net present value of the project using a 12 per cent discount rate.

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Five mutually exclusive projects had the following information: A B C D E NPV £200 £400 £2,000 £1,000 £(400) IRR 11\% 13\% 10\% 12\% 8\% Which project is preferred?

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A firm is considering a project with annual cash flows of £120,000. The project would have an 8-year life, and the company uses a discount rate of 12 per cent. What is the maximum amount the company could invest in the project and the project still be acceptable?

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Mitchell, Inc., is considering two mutually exclusive projects. Project 1 requires an investment of £80,000, while Project 2 requires an investment of £90,000. Cash revenues and cash costs for each project are shown below: \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad  PROJECT 1\text { PROJECT } 1 YEAR 1 2 3 4 Revenues £30,000 £50,000 £70,000 £90,000 Variable costs 8,000 12,000 20,000 25,000 Fixed costs 12,000 10,000 10,000 10,000 \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad  PROJECT 2\text { PROJECT } 2 YEAR 1 2 3 4 Revenues £65,000 £80,000 £60,000 £40,000 Variable costs 15,000 30,000 14,000 12,000 Fixed costs 5,000 20,000 10,000 8,000 The company estimates that at the end of the fourth year Project 1 would have a salvage value of £10,000 and Project 2 would have a salvage value of £5,000. a.Determine the net present value of EACH project using an 8 per cent discount rate. b.Prepare a memorandum for management stating your recommendation. Include supporting calculations in good form.

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Brooks Company invested in a project that is expected to have an annual cash flow of £10,000. The project's life is five years and has an IRR of 14 per cent. How much was the initial investment in the project?

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Dale Davis Company is evaluating a proposal to purchase a new machine that would cost £100,000 and have a salvage value of £10,000 in four years. It would provide annual operating cash savings of £10,000, as follows: Old Machine New Machine Salaries £40,000 £36,000 Supplies 7,000 5,000 Maintenance Total £56,000 £46,000 If the new machine is purchased, the old machine will be sold for its current salvage value of £20,000. If the new machine is not purchased, the old machine will be disposed of in four years at a predicted salvage value of £2,000. The old machine's present book value is £40,000. If kept, in one year the old machine will require repairs predicted to cost £35,000. Dale Davis's cost of capital is 14 per cent.

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If a project has a net present value of £0 when a discount rate of 10 per cent is used, what can be concluded about the rate of return of the project?

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