Since only one sign change occurs in the net cash flow series, the project is a simple investment, i.e. a unique rate of return (pure investment) W(i) = -2500000 +772500(P/A, i*, 15) + 80000(P/F, i*, 15) = 0 Solving for i i* = 34.46%
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- A project is being analyzed with the following set of cash flows. Calculate the internal rate of return (IRR). (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Cash Year Flow 0 16,000 123 6,700 8,000 6,500 IRR %Consider the cash flows for the investment projects given in Table. Assume that the MARR = 10%. (a) Suppose A, B, and C are mutually exclusive projects. Which project would be selected on the basis of the IRR criterion? (b) Assume that projects C and E are mutually exclusive. Using the IRR criterion, which Project would you select?. Net Cash Flow B D. E -4,850 2,100 2,100 2,500 4,250 3,200 2,850 800 300 4,250 4,250 2,850 2,900 1,050 500 -835 -835 -835 -835 1,500 3.250 1,600 1,200 2,100 2,100Consider the investment project with net cash flows shown. There are 2 rates of return for the project. One is 43.47%. What is the other? Enter as a percentage without the percent sign. For instance, if your answer is 10.23%, enter as 10.23. n Net Cash Flow 0 -$8000 1 $10000 2 $30000 3 -$40000
- Consider the cash flows for the investment projects given in Table. Assume that the MARR = 10%. (a) Suppose A, B, and C are mutually exclusive projects. Which project would be selected on the basis of the IRR criterion (b) Assume that projects C and È are mutually exclusive. Using the IRR criterion, which Project would you select? Net Cash Flow A В C D E -4,250 3,200 2,850 -4,250 1,500 3,250 1,600 1,200 -4,250 2,850 -4,850 2,100 2,100 2,100 2,100 2,500 1 -835 2,900 1,050 500 2 -835 3 800 -835 4 300 -835(b) Find the time path of capital K(t) given the following rates of net investment flow functions (i) I(t) = 10t12 + 5 K(0) = 50 (ii) I(t) = 18t5 - 2 K(0) = 24 (iii) I(t) = 30t4 K(0) = 35 (iv) I(1) = 23t K(0) =15 (c) For each of (i) to (iv) in b above, find the amount of capital formation over the time interval (2,5]Average Rate of Return Method, Net Present Value Method, and Analysis for a service company The capital investment committee of Arches Landscaping Company is considering two capital investments. The estimated operating income and net cash flows from each investment are as follows: Front-End Loader Year 1 2 3 4 5 Total Year 1 2 3 4 5 6 7 Operating Income 8 9 10 $54,000 54,000 54,000 54,000 54,000 $270,000 0.943 Each project requires an investment of $600,000. Straight-line depreciation will be used, and no residual value is expected. The committee has selected a rate of 10% for purposes of the net present value analysis. Present Value of $1 at Compound Interest 6% 0.890 0.840 0.792 0.747 0.705 0.665 0.627 0.592 0.558 10% Net Cash Flow 0.909 0.826 0.751 $172,000 172,000 172,000 172,000 172,000 $860,000 12% 0.893 0.797 0.756 0.712 0.658 0.683 0.636 0.572 0.621 0.567 0.497 0.564 0.507 0.513 0.467 0.424 0.386 0.452 0.404 15% 0.361 0.322 0.870 0.432 0.376 0.327 0.284 0.247 Operating Income…
- Project Y has following cash flows: C0 = -800, C1 = +6,000, and C2 = -6,000. Calculate the IRRs for the project: For what range of discount rates does the project have positive NPV (Plot a graph with NPV on the vertical axis and discount rate on the horizontal axis).7.16)Consider the investment projects given in Table P7.16. Assume that MARR = 12% in the following questions. (a) Compute i* for each investment. If the problem has more than one i*, identify all of them. (b) Compute IRR(true) for each project. (c) Compute the MIRR at MARR = 12%. (d) Determine the acceptability of each investment. TABLE P7.16 Net Cash Flow Project 1 Project 2 Project 3 -$1,000 -$1,000 -$1,000 1 2,500 1,960 1,400 2 -840 950 -200Calculate the HPR of the following investment, entered as a percentage (Example: if your answer is 14.5%, enter 14.5 and not 0.145) Period Cashflow 0 -14100 1 3300 2 3300 3 3100 4 2800
- (b) Find the time path of capital K(t) given the following rates of net investment flow functions (i) I(t) = 10t2 +5 K(0) = 50 (ii) I(t) = 18t5 - 2 K(0) = 24 (iii) I(t) = 30t4 K(0) = 35 %3D (iv) I(t) = 23t K(0) =15Incremental cash flow is calculated as (cash flowB− cash flowA), where B represents the alternative with the larger initial investment. If the two cash flows were switched wherein B represents the one with the smaller initial investment, which alternative should be selected if the incremental rate of return is 20% and the MARR is 15%? Explain.Consider an investment where the cash flows are: – $946.21 at time t = 0 (negative since this is your initial investment) $377 at time t = 1 in years $204 at time t = 2 in years $499 at time t = 3 in years (a) Use Excel's "Solver" to find the internal rate of return (IRR) of this investment. Take a screen shot showing Solver open with your entries for the function clearly visible. Paste the screen shot into an application (like Paint), and save it as a (.png) file. Upload your screenshot below. (b) What is the value of IRR found by Solver?
