Question

In: Economics

Margaret has a project with a £ 26,000 first cost that returns £ 4,800 per year...

Margaret has a project with a £ 26,000 first cost that returns £ 4,800 per year over its 10-year life. It has salvage value of £ 3,400 at the end of 10 years. If the MARR is 14 %, (Use 5 significant figures for your calculations, and round your answers to the nearest dollar. Indicate losses as a negative value.)

(a) What is the present worth of this project?

(b) What is the annual worth of this project?

(c) What is the future worth of this project after 10 years?

  

Solutions

Expert Solution

a) Present Worth = -26,000 + 4,800(P/A, 14%, 10) + 3,400(P/F, 14%, 10)

                        = -26,000 + 4,800(5.216) + 3,400(0.2697)

                            = -26,000 + 25,036.8 + 916.98

                            = -$46

b) Annual Worth = -26,000(A/P, 14%, 10) + 4,800 + 3,400(A/F, 14%, 10)

                        = -26,000(0.1917) + 4,800 + 3,400(0.0517)

                            = -4,984.2+ 4,800 + 175.78

                            = -$8

c) Future Worth = -26,000(F/P, 14%, 10) + 4,800(F/A, 14%, 10) + 3,400

                        = -26,000(3.707) + 4,800(19.337) + 3,400

                            = -96,382 + 92,817.6 + 3,400

                            = -$164


Related Solutions

Margaret has a project with a $29,000 first cost that returns $4000 per year over its 10 -year life.
Margaret has a project with a $29,000 first cost that returns $4000 per year over its 10 -year life. It has a salvage value of $4000 at the end of 10 years. If the MARR is 13 percent, what is the future worth of this project after 10 years? What is the discounted payback period for this project? Assume the savings are earned at year-end. Click the icon to view the table of compound interest factors for discrete compounding periods...
1. A project that costs $26,000 today will generate cash flows of $9,000 per year for...
1. A project that costs $26,000 today will generate cash flows of $9,000 per year for seven years. What is the project's payback period? 2.Living Colour Co. has a project available with the following cash flows: Year Cash Flow 0 −$35,230 1 7,940 2 9,530 3 13,490 4 15,570 5 10,280 If the required return for the project is 7.8 percent, what is the project's NPV?
The Renn project costs $26,000, and its expected net cash inflows are $7,800 per year for...
The Renn project costs $26,000, and its expected net cash inflows are $7,800 per year for 8 years. What is the project's payback period? What is the project's net present value (NPV), profitability index (PI), and internal rate of return (IRR) assuming a cost of capital of 10%? Calculate the project's modified internal rate of return (MIRR) assuming a cost of capital of 10%. What is the payback period of the Renn project?
A project cost $650 and has cash flows of $150 for the first year, $100 for...
A project cost $650 and has cash flows of $150 for the first year, $100 for the second year, and $80 in each of the subsequent years. What is the payback period of the project?
A project has the following cash flows: Year Cash Flow 0 $ 47,000 1 – 26,000...
A project has the following cash flows: Year Cash Flow 0 $ 47,000 1 – 26,000 2 – 37,000 What is the IRR for this project? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)   IRR % What is the NPV of this project, if the required return is 12 percent? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2...
A flood control project has construction cost during the first year (i.e. at EOY 1) of...
A flood control project has construction cost during the first year (i.e. at EOY 1) of $10 million, during the second year of $7 million, and during the third year of $4 million, It is completed at the end of the third year and thereafter incurs an annual operating cost of $170,000 per year. Benefits from the project begin during the fourth year and are valued at $1,300,000 in that year, growing at a 2% rate of increase out to...
A project has an initial cost of $70,000, expected net cash inflows of $15,000 per year...
A project has an initial cost of $70,000, expected net cash inflows of $15,000 per year for 10 years, and a cost of capital of 12%. What is the project's PI? (Hint: Begin by constructing a time line.) Do not round intermediate calculations. Round your answer to two decimal places.
A project has an initial cost of $50,000, expected net cash inflows of $8,000 per year...
A project has an initial cost of $50,000, expected net cash inflows of $8,000 per year for 12 years, and a cost of capital of 13%. What is the project's MIRR? (Hint: Begin by constructing a time line.) Do not round intermediate calculations. Round your answer to two decimal places.
A project has an initial cost of $48,650, expected net cash inflows of $11,000 per year...
A project has an initial cost of $48,650, expected net cash inflows of $11,000 per year for 7 years, and a cost of capital of 11%. What is the project's payback period? Round your answer to two decimal places.
A project has an initial cost of $58,975, expected net cash inflows of $12,000 per year...
A project has an initial cost of $58,975, expected net cash inflows of $12,000 per year for 11 years, and a cost of capital of 10%. What is the project's NPV? (Hint: Begin by constructing a time line.) Do not round your intermediate calculations. Round your answer to the nearest cent.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT