You are evaluating two different systems: System A costs $45,000, has a three year life and costs $5,000 per year to operate. System B costs $65,000, has a five year life and costs $4,000 per year to operate. If the required rate of return is 8%, which system would you prefer?
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- Max is planning to buy an equipment. Model X cost $300 to purchases and result is a costing savings of $150 per year, and last for 5 years. Model Z cost $450, result in costs savings of $130 per year, and last for 10 years. The discount rate is 20%. Required: a. Calculate the appropriate NPV for both the models. b. Calculate the approximate IRR for both the models. c. Calculate the Payback period for both the models. d. Which model should Max buy. e. If the inflation rate is expected to be 10%, will your advice to Max change.Suppose a project with a 6% discount rate yields R5000 for the next three years. Annual operating costs amount to R1000 for each year, and the one time initial investment cost is R8000. a. Calculate the Net Present Value (NPV) of this project.b. Calculate the cost-benefit ratio for the project. c. Is the project acceptable? Motivate your answer.Suppose you are considering a project has an initial cost of $500 that has an ongoing benefit of $250. Further, there is an ongoing cost that is equal to $90, which increases by 10% each year (compounding). Assume the project lasts 6 years. If the appropriate discount rate is 6%. Calculate: a) the Net Present Value = $Blank 1 b) the Benefit Cost Ratio = Blank 2 c) should the project be accepted or rejected? Explain your answer using the information from part a) and b). Answer =Blank 3 (accept/reject) Provide your answers to two decimal places. Do not include any commas (,) "$" or "%" in your answers. Ensure you show all your working in your spreadsheet.
- Consider a project with a 15 year time horizon (T=14). Suppose that in the first two years, the project has a cost of $175 and $150 respectively and no benefits. From the third year on, the project yields benefits. Starting with a benefit of $40 in t=2, the benefits continuously decline a 1% every year for the remainder of the horizon. Calculate the present value of this project. Use an Excel spreadsheet and print out your work. Consider two different interest rates (i) 3% per year and (ii) 5% per year. In each case, assume that time is (a) discrete and (b) continuous. Create a chart plotting the present value of net benefits for the project horizon under each scenario. (You should have 4 lines on the chart.) Print out your chart as well.You have just been offered a contract worth $ 1.15 million per year for 7 years. However, to take the contract, you will need to purchase some new equipment. Your discount rate for this project is 12.4%. You are still negotiating the purchase price of the equipment. What is the most you can pay for the equipment and still have a positive NPV? Question content area bottom Part 1 The most you can pay for the equipment and achieve the 12.4% annual return is $ enter your response here million. Round to two decimal places.)Q. 3. You have an opportunity to install solar panels on your home. The upfront cost of installing the system is $30,000 and the system is expected to save you $140 per month in electricity costs. The expected lifetime of the system is 25 years. a) Write down the formula for the internal rate of return on this project. b) Use Excel to graph the internal rate of return at different discount rates, ranging from 0% to 10%. Attach your graph. c) Over the last 20 years the rate of return on the U.S. stock market has been an average of 7% (using the annual rate of growth in the Wilshire 5000 index). Given that you could invest your $30,000 in the stock market, does the investment in solar panels make sense from an economic perspective? Why or why not? d) How high would the monthly electricity savings need to be to justify this investment if the internal rate of return needed to be at least 7%.
- 2. A potential software project will cost $17000 now, $2000 one year from now, $1000 2 years from now, and $1000 3 years from now. It will provide benefits of $28000 after it is installed 1 year from now, $30000 2 years from now, and $35000 3 years from now. Calculate the Present Value of the costs and benefits for each year and the overall Net Present Value of the project. Use a discount rate of 3%. (Hint: set up a spreadsheet...) Year 0 SO ? Benefits PV of Benefits Costs PV of Costs ? $17,000 Year 1 $28,000 ? Show Transcribed Text $2,000 ? Year 2 $30,000 ? $1,000 ? Year 3 $35,000 ? $1,000 ? Net Present Value (NPV) = Total PV of Benefits - Total PV of Costs Total Benefits Total Costs 3. The Payback Period is the length of time required to recover the cost of an investment. Management uses Payback Period to assess the risk of an investment - the longer the Payback Period, the higher the investment risk. What is the Payback Period for the project in question #2 above? 4. What is the ROI…Please draw the graph and solve neatly. I will rate once given me the right answer. Question: A project pays $2000 today, costs $5000 a year from now, and pays $12, 500 in two years. What is the rate of return? Assume that the MARR is 25%For the following two alternatives, if the MARR is 10% per year (a)which one has a shorter payback period (b) which one do you select if you use the PW analysis. (c) is your selection different in (a) and (b)? Why? (d) use Spreadsheet to solve a and b. Alternative A: initial cost = $300,000 Revenue = $60,000 Alternative B: initial costs = $300,000 Revenue starts from n=1 at $10,000 and increases by $15,000 per year The expected life is 10 years for each alternative.
- Compute the IRR, NPV, Pi, and payback period for the following two projects. Assume the required return is 10%. Year Project A Project B 0 $-200 $-150 1 $200 $50 2 $800 $100 3 $-800 $150 Please show inputs from the BAII Plus Financial calculator of how to get these answersYou are considering the following two projects which are mutually exclusive. The required return on each project is 14%. Which project should you accept and what is the best reason for that decision? Year Project A Project B 0 $-46,000 $-46,000 1 $25,000 $11,000 2 $18,000 $19,000 3 $16,000 $32,000 a) Both Project A and B since they both have positive NPV b) Project A, because it has the higher profitability index c) Project A, because it has the higher net present value d) Project B, because it has the higher net present valueYou are evaluating a project that costs $75,000 today. The project has an inflow of $ 155,000 in one year and an outflow of $65,000 in two years. What are the IRRs for the project? What discount rate results in the maximum NPV for this project? How can you determine that this is the maximum NPV?