Here is the cash flow for two mutually exclusive projects. Project             C0                    C1                    C2                    C3 A                     -$20,000          $8,000             $8,000             $8,000 B                     -$20,000          0                      0                      $25,000   At what interest rate would you prefer project A to B? ( NPV Value) 2.     What is the IRR of each project? Explain you answer using formulas.

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NPV versus IRR (LO1, 5) Consider the following two mutually exclusive projects: Year 0 Cash Flow (X) -$20,000 Cash Flow (Y) 2 3 8,850 9,100 8,800 -$20,000 10,100 7,800 8,700 Sketch the NPV profiles for X and Y over a range of discount rates from 0 to 25%. What is the crossover rate for these two projects?

Consider the cash flows for projects Alpha and Beta as follows: Project Alpha Beta Required: (a) (b) Year 0 cash flow -$250 - $150 Year 1 cash flow 0 Year 2 cash flow 400 200 0 Determine the discount rate that will make the NPV of the two projects equal. (Ignore negative discount rates.) Determine the range of discount rates in which project Alpha is preferred to project Beta.

Consider the following two mutually exclusive projects: Year Cash Flow (X) Cash Flow (Y) 0 1 2 3 -$20,000 8,850 9,100 8,800 2 Instruction: Sketch the NPV profiles for X and Y over a range of discount rates from 0% to 25%. What is the crossover rate for these two projects (when both projects have the same NPV)? Show your steps. -$20,000 10,100 7,800 8,700 A▾ B I = 18 1

Consider the following two projects: Cash flows Project A Project B C0�0 −$ 240 −$ 240 C1�1 100 123 C2�2 100 123 C3�3 100 123 C4�4 100   a. If the opportunity cost of capital is 8%, which of these two projects would you accept (A, B, or both)? b. Suppose that you can choose only one of these two projects. Which would you choose? The discount rate is still 8%. c. Which one would you choose if the cost of capital is 16%? d. What is the payback period of each project? e. Is the project with the shortest payback period also the one with the highest NPV? f. What are the internal rates of return on the two projects? g. Does the IRR rule in this case give the same answer as NPV? h. If the opportunity cost of capital is 8%, what is the profitability index for each project? i. Is the project with the highest profitability index also the one with the highest NPV? j. Which measure should you use to choose between the projects?

Profitability index. Given the discount rate and the future cash flow of each project listed in the following table, . use the Pl to determine which projects the company should accept. What is the Pl of project A? i Data Table (Round to two decimal places.) (Click on the following icon o in order to copy its contents into a spreadsheet.) Cash Flow Project A -%241,900,000 $150,000 $350,000 Project B Year 0 $2,300,000 $1,150,000 $950 000 $750,000 $550,000 Year 1 Year 2 Year 3 $550,000 Year 4 $750,000 $950,000 4% Year 5 $350.000 Discount rate 18% Print Done

You are choosing between two projects. The cash flows for the projects are given in the attached table​ ($miilion) . a. What are the IRRs of the two​ projects? (A &B) b. If your discount rate is 4.9%​,what are theNPVs of the two​ projects? (A & B) c. Why do IRR and NPV rank the two projects​ differently?

You are given the following cash flow for a project, and told that PW(8%) = $8,300 for this project. What is the value of the unknown payment X for the second and third periods? n Cash Flow 0 -$36,000 1 $0 2 $X 3 $X O Cannot be determined. O $24,842.08 O $26,829.44 O $5,026.74

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