Given the following data, use present worth analysis to find the better alternative, A or B. Use an analysis period of 12 years and 12% annual interest rate. A B Initial cost 9,010 14,542 Annual benefit 5,627 9,399 Salvage value 1,247 -2,430 6 years 4 years Useful life What is the difference between the present worth of alternative B and A, specifically what is PWB-PWA? State your answer with 2 decimal places
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- Which net present value, payback period, and interal rate of return is the best to choose. (A). 898613.67 (NPV); 4.625 years (payback period); 17.48% per year (B) 1407172.81 (NPV); 2.778 years (payback period); 30.93% per year (C) 1487140.50 (NPV); 3.00 years (payback period); 32.06% per yearGiven the financial data in the table below for two mutually exclusive alternatives, determine the value "X" for the two alternatives to be equally attractive. Use an interest rate of 10% per year. Initial cost $2,500 $4,000 Annual benefit 500 600 Life You do not need to interpolate, just answer the closest n that surrounds your number. For example between year so and so.7. Future values (S2.1) Compute the future value of a $100 investment for the following combinations of rates and times. = 6%, t = 10 years. b. r= 6%, t = 20 years. c. r = 4%, t = 10 years. d. r = 4%, t = 20 years. a. r =
- APPLY THE CONCEPTS: Present value of a single amount in the future (better overview of question in attachment) As it is important to know what a current investment will yield at a point in the future, it is equally important to understand what investment would be required today in order to yield a required future return. The following timeline displays what present investment is required in order to yield $8,000 three years from now, assuming annual compounding at 5%. Future Value: $8,000 Year 1 Year 2 Year 3 Present Value: ? The most straightforward method for calculating the present value of a future amount is to use the Present Value Table. By multiplying the future amount by the appropriate figure from the table, one may adequately determine the present value. + Present Value of a Future Amount Table1 - Present Value of $1 at Compound Interest Period 5% 6% 7% 8% 9% 10% 11% 12% 1 0.952 0.943 0.935 0.926 0.917 0.909…Assume that you will receive $2500 at the end of 6 years and want to know the present value (PV) of that future sum. Assuming a positive interest rate (required rate of return), which of the following is a possible number for the present value of the $2500? Even without knowing the interest rate, it is possible to answer this question. O A. $2742.53 B. $2632.45 O C. $1967.25 OD. $2572.50 O E. None of the above is a possible number.When comparing two projects with different lives, why do you compute an annuity with an equivalent present value (PV) to the net present value (NPV)? A. so that the projects can be compared on their cost or value created per year B. to reduce the danger that changes in the estimate of the discount rate will lead to choosing the project with a shorter time frame C. so that you can see which project has the greatest net present value (NPV) D. to avoid complications arising from alternating cash inflows and outflows O E. to ensure that cash flows from the project with a longer life that occur after the project with the shorter life has ended are considered
- Find the PV and FV of an investment that makes the following end-of-year payments. The interest rate is 8%. Year Payment 1 100 2 200 3 400 Rate = 8% To find the PV, use the NPV function: PV = Year Payment x (1 + I )^(N-t) = FV1 100 1.17 116.64 2 200 1.08 216.00 3 400 1.00 400.00 Sum = ?PV = ?FV of PV = ?Solve the following problem using the present worth analysis for an interest rate of 8%. Alt. A Alt. B Alt. B Initial cost $1,700 $2,100$3,750 Benefit/year 1,000 |1,000 1,000 Life in years|2 3 6You have been given the expected return data shown in the first table on three assets—F, G, and H—over the period 2018-2021 Year Asset F Asset G Asset H 2019 5 12 12 2020 10 9 7 2021 13 21 4 2022 6.5 6 10.5 Using these assets, you have isolated the three investment alternatives shown in the following table. Alternative Investment 1 100% of asset G 2 40% of asset F and 60% of asset G 3 50% of asset F and 50% of asset H Calculate the expected return over the 4-year period for each of the three alternative Calculate the standard deviation of returns over the 4-year period for each of the three alternatives. Use your findings in parts a and b to calculate the coefficient of variation for each of the three alternatives. On the basis of your findings, which of the three investment alternatives do you recommend? Why?
- Two mutually exclusive alternatives are being considered. Both have lives of ten years. Alternative A has a first cost of $10,000 and an annual benefit of $4500. Alternative B costs $15,000 and has annual benefits of $8800. 7-65 If the MARR is 6%, which alternative should be selected? Solve the problem by: (a) Present worth analysis (b) Annual cash flow analysis (c) Rate of return analysisFor each of the following, compute the present value: (Your answers should be positive values.) \table[[Present value,Years,Interest rate,Future value],[,17,9%,$16,832Use Rate of Return Analysis to determine whether Alternative A or B should be chosen. Assume the MARR is 6% per year, compounded annually. Initial Cost Annual Benefit Salvage Value Useful Life (yrs) Alternative A 700 170 0 5 Alternative B 1189 270 0 5 Alternative B should be chosen, because the incremental rate of return of B-A is 0.75%, which is less than the MARR Alternative B should be selected because its rate of return is 4.39%, which is less than the MARR Alternative A should be selected because its rate of return is 6.84%, which is greater than the MARR Alternative A should be chosen, because the incremental rate of return of B-A is 0.75%, which is less than the MARR

