Consider the cash flows for projects Alpha and Beta as follows: Project Alpha Beta Required: (a) (b) Year 0 cash flow -$250 - $150 Year 1 cash flow 0 Year 2 cash flow 400 200 0 Determine the discount rate that will make the NPV of the two projects equal. (Ignore negative discount rates.) Determine the range of discount rates in which project Alpha is preferred to project Beta.
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- You are choosing between two projects. The cash flows for the projects are given in the attached table ($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?Use the table for the question(s) below. Consider the following two projects: Project Year 0 Cash Flow Year 1 Cash Flow Year 2 Cash Flow Year 3 Cash Flow Year 4 Cash Flow Discount Rate A -100 40 50 60 N/A .15 B -85 30 30 20 40 10% 11) The NPV of project B is closest to: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. -$20,000 10,100 7,800 8,700 A▾ B I = 18 1
- Consider the following two mutually exclusive projects: Second part of the Question Year Cash Flow(X) Cash Flow(Y) 0 –$ 19,900 –$ 19,900 1 8,825 10,050 2 9,050 7,775 3 8,775 8,675 d) At which range of discount rates would you choose Project X over Project Y? e) At which range of discount rates would you choose Project Y over Project X?Piercy, LLC, has identified the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) 0 -$56,000 -$56000 1 32,000 19,400 2 26,000 23,400 3 19,000 28,000 4 13,200 25,400 Over what range of Discount rates would you choose Project A? Project B? (Please list percentages rounded to 2 decimal places. Hint: The answer is not the same as the IRR.) Project A ____________% Project B ____________% At what discount rate would you be indifferent between these two projects? ____________%Consider the following two sets of project cash flows: Project Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Discount rate X -830 145 158 193 253 288 290 0.123 Y -510 193 193 91 81 88 90 0.123 A) Assume that projects X and Y are mutually exclusive. The correct investment decision and the best rational for that decision is to: i) invest in Project Y since IRRY > IRRX. ii) invest in Project Y since NPVY > NPVX. iii) neither of the above. B) What are the incremental IRR and NPV of Project X? C) Is the use of the incremental measures in B) appropriate to your evaluation of the preferred project? Explain. D) Which is the preferred project? Explain and justify the basis for your choice
- If the cash flows for Project M are C0 = -1,000; C1 = +800; C2 = +700 and C3= -200. Calculate the IRR for the project. For what range of discount rates does the project have a positive NPV?A project has the following cash flows set out below. What is the profitability index of this project if the relevant discount rate is 2 percent? Enter your final answer to two decimal places. Year Cash flow 0 -1,745 1 537 2 2,066 3 3,912Consider the cash flow of the two projects depicted in Table 3. If WiseGuy Inc. uses payback period rule to choose projects, which of the projects (Project A or Project B) will rank highest? TABLE 3 Project A Project B Time 0. -11,000. -10,000 Time 1. 3,000. 4,000 Time 2. 8,000. 3,000 Time 3. 3,000. 10,000 A) Project A B) Project B C) Project A and Project B have the same ranking. D) It cannot calculate a payback period without a discount rate. 7 Consider the cash flow of the two projects depicted in Table 3. If WiseGuy Inc. uses IRR rule to choose projects, which of the projects (Project A or Project B) will rank highest? A) Project A B) Project B C) Project A and Project B have the same ranking. D) It cannot calculate a payback period without a discount rate.
- (Related to Checkpoint 11.1 and Checkpoint 11.4) (IRR and NPV calculation) The cash flows for three independent projects are found below: a. Calculate the IRR for each of the projects. b. If the discount rate for all three projects is 13 percent, which project or projects would you want to undertake? c. What is the net present value of each of the projects where the appropriate discount rate is 13 percent? a. The IRR of Project A is%. (Round to two decimal places.) Data table Year 0 (Initial investment) Year 1 Year 2 Year 3 Year 4 Year 5 Project A $(70,000) $12,000 18,000 19,000 28,000 33,000 Project B $(110,000) $28,000 28,000 28,000 28,000 28,000 Project C $(420,000) $240,000 240,000 240,000Consider the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) 0 −$29,000 −$29000 1 14,400 4,300 2 12,300 9,800 3 9,200 15,200 4 5,100 16,800 a) What is the Internal Rate of Return (IRR) for each of these projects? b) Using the IRR decision rule, which project should the company accept? c) If the required return is 11 percent, what is the Net Present Value (NV) for each of these projects? d) Using the NPV decision rule, which project should the company accept? e) Why do you think the NPV and IRR rules do not agree on same project approval/rejection direction?You are choosing between two projects. The cash flows for the projects are given in the following table ($ million): Year 2 Year 0 - $51 - $101 $21 $42 Project A B Year 1 $25 $20 a. What are the IRRs of the two projects? b. If your discount rate is 4.6%, what are the NPVs of the two projects? c. Why do IRR and NPV rank the two projects differently? %. (Round to one decimal place.) a. What are the IRRs of the two projects? The IRR for project A is The IRR for project B is %. (Round to one decimal place.) b. If your discount rate is 4.6%, what are the NPVs of the two projects? If your discount rate is 4.6%, the NPV for project A is $ C Year 3 $21 $50 Year 4 $15 $59 million. (Round to two decimal places.) million. (Round to two decimal places.) If your discount rate is 4.6%, the NPV for project B is $ c. Why do IRR and NPV rank the two projects differently? (Select from the drop-down menus.) is measuring return on NPV and IRR rank the two projects differently because they are measuring…