22. If a project begins producing benefits a year from now, and yields a level B of
benefits each year forever, the present discounted value of the benefits of the project
is
a) infinite.
b) infinite unless there is risk and the benefits are discounted by a risk factor.
c) B/r, where r is the discount rate.
d) B/(1+ r), where r is the discount rate.
Option D (B/(1+ r), where r is the discount rate) is correct.
The present discounted value of the project is B/(1+r) because the present discount value is calculated by dividing the future sun of money recived by 1 plus r times the year. In the given case, the benefit of B is recived every year i future so the future sum of money is B and the interest rate is r.
22. If a project begins producing benefits a year from now, and yields a level B...
2. The government is contemplating project A that yields the following stream of benefits and costs. Project A Year 2 S10,0000 0 Benefits0 $2,000 $4,000 $6,000 (a) Find the net present value and the benefit cost ratio for this project, assuming a discount rate of 5%. (b) Re-calculate the net present value assuming a discount rate of (i) 3%, (ii) 8 % and (iii) 10%. Use a graph to illustrate how the net present value of the project is affected...
A project where the projected costs and benefits are spread over five years with the following data: • Estimated costs are $100,000 in Year 1 and $25,000 each for years 2, 3, 4, and 5. • Estimated benefits are $0 in Year 1 and $80,000 each for years 2, 3, 4, and 5. • Use a discount rate of 8% 1.Calculate the following: a. Calculate cash flow b. Show the discount factor c. Show discounted costs and discounted benefits d....
Using information about the estimated costs, estimated benefits and a discount rate of 9% for Project XYZ, calculate the discount factor for each year, the discounted costs, the discounted benefits, the return-on-investment (ROI) and the net-present value (NPV). In which year does the payback occurs? Total | O 175,000 ? ? Estimated Costs Discount Factor Discounted Costs | 22.500,7 22,500 ? ? Year 2 | 22,500 ? ? 3 | 22,500 ? ? 4 22,500 ? ? | 5 |...
A project yields an annual benefit of $25 a year, starting next year and continuing forever. What is the present value of the benefits if the interest rate is 10%?
Question Two Using information about the estimated costs, estimated benefits and a discount rate of 9% for Project XYZ, calculate the discount factor for each year, the discounted costs, the discounted benefits, the return-on-investment (ROI) and the net-present value (NPV). In which year does the payback occurs? Total Year 0 1 2 3 4 5 175,000|22,500|22,500122,500122,500 22,500 Estimated Costs Discount Factor Discounted Costs 080,000|80,00080,000|80,000 80,000 Estimated Benefits Discount Factor Discounted Benefits Discounted Benefits - Costs D Cumulative Benefits-Costs 21 21...
The Stern Report seeks to discount $6,000 billion of annual benefits occurring 100 years from now. If these are discounted at a rate of 2%, the present discounted value of the benefits will be approximately:
Consider a project costing $1m each year from year 1 to year T. Then starting in year T+1, the project will generate a profit of $700k each year, forever. a) Write a formula for the present value of this project with a discount rate of r b) Write a formula in terms of r for the value of T at which you break even (ignoring the issue of whether T is an integer).
7. Consider a highway project with the following costs and benefits. This representation of costs and benefits assumes the costs occur immediately and the benefits occur at the end of year 1, end of year 2 and the end of year 3. Year 0 Costs $470,000 Benedi 0 $275.00 $295.005$315.000 $275,000$295,000 S315,000 (a) Calculate the net present value of the project. Assume a discount rate of 4%. Now suppose all the benefits occur at the start of each period. What...
If an analyst predicts that the benefits of a three-year project would be $100,000 at the end of the first year, $110,000 at the end of the second year, and $120,000 at the end of the project life, the scrap value of the project is expected to be $25,000 upon resale, and the discount rate is 4%, how much is the present value of total benefits for the project?
3. Suppose a project under consideration has the following stream of benefits and costs. Year O Costs $10,000 Benefits 4 S5,000 $2,000S4,000 S6,000 $8,000 S10,000 $2,000 (a) Find the net present value of the project assuming a discount rate of 5%. Is the project worthwhile? (b) Suppose you have discovered that the benefits of the project have been overestimated and a more accurate assessment suggests that the benefit in each year is half of the original estimate. Assuming a discount...