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Which alternative should be selected using the incremental
| Do- nothing | A | B | C | D | |
| First Cost | 0 | $10,000 | $4000 | $10,000 | $7000 |
| Annual benefit | 0 | 1,806 | 828 | 1,880 | 1,067 |
| Life | 10 Years | ||||
| ROR | 12.5% | 16.0% | 13.5% | 8.5% |
a. B, because its ROR is the highest
b. Something other than C, because C costs the most initially
c. C, because the C-B increment has a ROR of 11.78% and the A-B increment has a ROR of 10.5%
d. C because C has the highest annual benefit
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- Two alternatives are being considered: B First cost Uniform annual benefit Useful life, in 5000 9600 1750 1850 4 8 years If the minimum attractive rate of return is 7%, which alternative should be selected? Solution: 1. Use the increment analysis, we should use 2. Terms n= 3. The Increment CFD has 3 basic patterns: O AP= O AA= O AF= occurred at end of year 4. AROR= % 5. Choose Please answer all parts of the question.Any suggestions? Thanks for the help! Given the data for three different alternatives in the table below, determine the best alternative using the incremental rate of return (∆RoR) analysis. MARR =9%. A B C First cost $15,000 $25,000 $20,000 O &M Cost/ year 1,600 400 900 Benefit/year 8,000 13,000 9,000 Salvage value 3,000 6,000 4,600 Life in years 4 4 4 1. The better alternative between the first increment is ________________. 2. The better alternative between the second increment is ___________________.Which alternative should be selected using incremental rate of return analysis, if MARR = 12.0%? First cost Annual benefit Life ROR Do-nothing 0 10 yrs A B $6,500 $3,500 1,246 765 с D $7,500 $5,000 1,523 779 14.0% 17.5% 15.5% 9.0% B, because its ROR is the highest something other than C, because C costs the most initially C because C has the highest annual benefit C, because the C-B increment has a ROR of 13.70% and the A-B increment has a ROR of 9.66%
- 6.Calculate the project's Modified Internal Rate of Return (MIRR). What critical assumption does the MIRR make that differentiates it from the IRR? TIP : look for the definition of Modified Internal Rate of Return, and then do it in excel, easy !!! Year Net Cash flow Future Value of Net Cash flow 0 -$20.8 example 1 $4.5 $7.97 (n=6, i=10%)=fv(.1,6,,4.5) 2 $6.3 (n=5, i=10%) 3 $5.2 (n=4, i=10%) 4 $3.9 (n=3, i=10%) 5 $2.1 (n=2, i=10%) 6 $1.3 (n=1, i=10%) 7 $0.5 (n=0, i=10%) Sum = $XX.XX MIRR = ( in excel ) Rate ( 7,-20.8, xx.xx) 7.Where does the value of MIRR fall relative to the discount rate and IRR?Wallace Company is considering two projects. Their required rate of return is 10%. Which of the two projects, A or B, is better in terms of internal rate of return?Pm.3 Find out the profitability index (PI) of the following project assuming the required rate of return is 8%. Will you accept the project? Why? year 0 1 2 3 4 5 Cash Flow ($) -250,000 50,000 40,000 120,000 80,000 45,000 Group of answer choices Accept the project because the PI is equal to 1.06, which is larger than 0. Accept the project because the PI is equal to 0.98, which is larger than 0. Reject the project because the PI is equal to 1.06, which is larger than 1. Reject the project because the PI is equal to 0.98, which is lower than 1. Accept the project because the PI is equal to 1.06, which is larger than 1.
- Value/other investment criteria (i Saved Help Save Consider the following two projects: Cash flows Project A Project B -$270 CO -$270 С1 115 143 C2 115 143 Сз 115 143 C4 115 a. If the opportunity cost of capital is 10%, 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 10%. Which one would you choose if the cost of capital is 15%? 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-1. If the opportunity cost of capital is 10%, what is the profitability index for each project? h-2. Is the project with the highest profitability index also the one with the highest NPV? h-3. Which measure should you use to choose between the projects? Complete this question by…Two alternatives are being considered: First cost Uniform annual benefit Useful life, in years If the minimum attractive rate of return is 7%, which alternative should be selected? Solution: 2. Terms n= 8 1. Use the increment analysis, we should use B-A ο ΔΑΞ A 3. The Increment CFD has 3 basic patterns: ο ΔΡ= ο ΔΕΞ 4. AROR= 8.32 % 5. Choose B 5400 9800 1750 1850 4 8 B occurred at end of year 49. Compare two alternatives using i = 10% Alternative X Alternative Y First cost, $ M&O costs, $/year 45,000 Benefits, $/year Disbenefits, $/year 20,000 Life, years 320,000 540,000 35,000 110,000 150,000 45,000 10 20 a) Which alternative should be selected? b) Calculate the option based on incremental value and justify?
- A defender and a challenger are considered in a replacement analysis. The following decision tree includes the data where FC: first cost, AB: annual benefit; C: Challenger and D: Defender. If annual compound interest rate is 10%, when must we replace the defender? Node no branch Cash flow FC=-45,000 $ Life=20 yrs AB= +8,500 $ FC=-10,000 $ Life=5 yrs AB= +4,500 $ FC=-10,000 $ Life=5 yrs 10 2 D 1D AB= +5,500 $ FC=-35,000 $ Life=15 yrs AB= +4,500 $ FC=-10,000 $ Life=5 yrs AB= +5,000 $ FC=-25,000 $ Life=10 yrs AB= +9,000 $ FC=-20,000 $ Life=5 yrs AB= +6,000 $ FC=-15,000 $ Life=5 yrs AB= +5,000 $ 20 3 1D 20 10 2 DFind the internal rate of return for the following investment (yes I want the actual rate). Is it a good idea if MARR=10%? Year 2$ -160,400 75,000 -32,000 55,000 32,500 69,500 1 3 4The following two alternatives are given. Data A B. First Cost $8,200 $5,600 Annual Cost $1,000 $800 Annual Benefit $2,700 $2,100 Life, Years 7. Salvage Value $2,800 $1,000 Assume that MARR is 15%. Use the incremental rate of return analysis to determine which alternative (A or B) one should choose. Find the AIRR, or a range of AIRR. O 10% O 10-12% O 12-15% O > 15%