Exam 13: Long-Run Investment Decisions: Capital Budgeting

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A firm is considering two alternative projects. Project A requires an initial expenditure of $50,000 plus an expenditure of $10,000 at the end of each the next five years. It will yield $75,000 in revenue at the end of the first year and at the end of the fifth year. Project B requires an initial expenditure of $100,000. It will yield $40,000 in net revenue at the end of each of the next five years. Both projects have a life of five years with no salvage value or disposal cost. The table below provides present value factors for the firm's discount rate of 12%. Calculate the net present value and profitability index of each project. Which project is preferred by each criterion? A firm is considering two alternative projects. Project A requires an initial expenditure of $50,000 plus an expenditure of $10,000 at the end of each the next five years. It will yield $75,000 in revenue at the end of the first year and at the end of the fifth year. Project B requires an initial expenditure of $100,000. It will yield $40,000 in net revenue at the end of each of the next five years. Both projects have a life of five years with no salvage value or disposal cost. The table below provides present value factors for the firm's discount rate of 12%. Calculate the net present value and profitability index of each project. Which project is preferred by each criterion?

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NPV of A: $23,474.5
50000?(10000)(3.6048)+(75000)(0.8929)+(75000)(0.5674)
NPV of B: $44,192
100000+(3.6048)(40000)
PI of A: $73,474.5/$50,000 = 1.47
PI of B: $144,192/$100,000 = 1.44
The NPV criterion favors B and the PI criterion favors A.

A firm is considering two alternative projects. Project A requires an initial expenditure of $100,000 plus an expenditure of $10,000 at the end of each the next five years. It will yield $98,000 in revenue at the end of the first year and at the end of the fifth year. Project B requires an initial expenditure of $50,000. It will yield $15,000 in net revenue at the end of each of the next five years. Both projects have a life of five years with no salvage value or disposal cost. The table below provides present value factors for the firm's discount rate of 12%. Calculate the net present value and profitability index of each project. Which project is preferred by each criterion? A firm is considering two alternative projects. Project A requires an initial expenditure of $100,000 plus an expenditure of $10,000 at the end of each the next five years. It will yield $98,000 in revenue at the end of the first year and at the end of the fifth year. Project B requires an initial expenditure of $50,000. It will yield $15,000 in net revenue at the end of each of the next five years. Both projects have a life of five years with no salvage value or disposal cost. The table below provides present value factors for the firm's discount rate of 12%. Calculate the net present value and profitability index of each project. Which project is preferred by each criterion?

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NPV of A: $7,061.4
100000?(10000)(3.6048)+(98000)(0.8929)+(98000)(0.5674)
NPV of B: $4,072
50000+(3.6048)(15000)
PI of A: $73,474.5/$50,000 = 1.07
PI of B: $144,192/$100,000 = 1.08
The NPV criterion favors A and the PI criterion favors B.

A firm's marginal cost of capital (i) in percentage terms is a linear function of the total amount it chooses to borrow (K) in millions of dollars during the current time period. The function is i = 5 + 0.8K. The firm is considering six projects which will have to be financed entirely by borrowing. The amount the firm must borrow for each project and the expected rates of return are listed below: A firm's marginal cost of capital (i) in percentage terms is a linear function of the total amount it chooses to borrow (K) in millions of dollars during the current time period. The function is i = 5 + 0.8K. The firm is considering six projects which will have to be financed entirely by borrowing. The amount the firm must borrow for each project and the expected rates of return are listed below:    Which projects should the firm undertake, if any, and what will the firm's marginal cost of capital be if it borrows the optimal amount? Which projects should the firm undertake, if any, and what will the firm's marginal cost of capital be if it borrows the optimal amount?

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  The firm should borrow a total of $13.5 million and carry out projects A, B, and C. The firm's marginal cost of capital will be 15.8%. The firm should borrow a total of $13.5 million and carry out projects A, B, and C. The firm's marginal cost of capital will be 15.8%.

A firm is considering two capital investment projects. Project A involves an initial cost of $125,000. The discounted present value of all future cash flows is $145,000. Project B requires an initial expenditure of $85,000. The discounted present value of all future cash flows is $102,000. (i) Calculate the net present value of each of the two projects. Which would be preferred according to the net present value criterion? (ii) Calculate the profitability index of each of the two projects. Which would be preferred according to the profitability index criterion?

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Firms generally use only one of the three equity capital valuation methods.

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A firm's marginal cost of capital (i) in percentage terms is a linear function of the total amount it chooses to borrow (K) in millions of dollars during the current time period. The function is i = 4.5 + 0.5K. The firm is considering six projects which will have to be financed entirely by borrowing. The amount the firm must borrow for each project and the expected rates of return are listed below: A firm's marginal cost of capital (i) in percentage terms is a linear function of the total amount it chooses to borrow (K) in millions of dollars during the current time period. The function is i = 4.5 + 0.5K. The firm is considering six projects which will have to be financed entirely by borrowing. The amount the firm must borrow for each project and the expected rates of return are listed below:    Which projects should the firm undertake, if any, and what will the firm's marginal cost of capital be if it borrows the optimal amount? Which projects should the firm undertake, if any, and what will the firm's marginal cost of capital be if it borrows the optimal amount?

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A firm is considering two capital investment projects. Project A involves an initial cost of $15,000. The discounted present value of all future cash flows is $18,000. Project B requires an initial expenditure of $25,000. The discounted present value of all future cash flows is $29,000. (i) Calculate the net present value of each of the two projects. Which would be preferred according to the net present value criterion? (ii) Calculate the profitability index of each of the two projects. Which would be preferred according to the profitability index criterion?

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A firm is considering three investment projects which we will refer to as A, B, and C. Each project has an initial cost of $10 million. Investment A offers an expected rate of return of 16%, B of 8%, and C of 12%. The firm's cost of capital is 6% if it borrows $10 million, 10% if it borrows $20 million, and 15% if it borrows $30 million. Which project(s) should the firm invest in?

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According to the 1977 study by Gitman and Forrester, the single most commonly used capital budgeting technique among the firms surveyed was the internal rate of return method.

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A firm has found that the net present value of a project is equal to zero. The net present value was calculated using the firm's risk-adjusted discount rate of 15%. Based on this information, your conclusion is

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