An investment of 1000 is to be used to make payments of 10 at the end of the first year, 20 at the end of the second year, 30 at the end of the third year, etc., every year for as long as possible. A smaller final payment is paid one year after the last regular payment. The fund earns an effective rate of interest of 4%. Calculate the amount of the smaller final payment R. (Hint: By doing trial and error, one can find that the last full payment is made at the end of 17th year.)
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- An investment project has annual cash inflows of $2,800, $3,700, $5,100, and $4,300, for the next four years, respectively. The discount rate is 9 percent. a. What is the discounted payback period for these cash flows if the initial cost is $5.200? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What is the discounted payback period for these cash flows if the initial cost is $6,400? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What is the discounted payback period for these cash flows if the initial cost is $10,400? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g.., 32.16.) a. Discounted payback period years b. Discounted payback period years c. Discounted payback period yearsYou plan to analyze the value of a potential investment by calculating the sum of the present values of its expected cash flows. Which of the following would increase the calculated value of the investment? Group of answer choices The cash flows are in the form of a deferred annuity, and they total to $100,000. You learn that the annuity lasts for 10 years rather than 5 years, hence that each payment is for $10,000 rather than for $20,000. The discount rate decreases. The riskiness of the investment's cash flows increases. The total amount of cash flows remains the same, but more of the cash flows are received in the later years and less are received in the earlier years. The discount rate increases.An investment project has annual cash inflows of $4,900, $3,400, $4,600, and $3,800, for the next four years, respectively. The discount rate is 13 percent. a. What is the discounted payback period for these cash flows if the initial cost is $5,200? b. What is the discounted payback period for these cash flows if the initial cost is $7,300? c. What is the discounted payback period for these cash flows if the initial cost is $10,300?
- Find the monthly payment R needed to have a sinking fund accumulate the future value A. The yearly interest rate r and the time t in years are given below. Interest is compounded monthly. A= $9,000; r=7%; t= 1 R=$ (Round up to the nearest cent.) ue ue ie Enter your answer in the answer box and then click Check Answer. ue All parts showing Clear All Check Answer To see what to study next, go to your Study Plan. 99- aYou are evaluating five different investments, all of which involve an upfront outlay of cash. Each investment will provide a single cash payment back to you in the future. Details of each investment appears here:. Calculate the IRR of each investment. State your answer to the nearest basis point (i.e., the nearest 1/100th of 1%, such as 3.76%). The yield for investment A is %. (Round to two decimal places.) Initial Future Investment Investment Value Im A $1,900 $4,029 B $9,600 $13,121 C $500 D $3,200 E $5,900 Data table $1,759 $4,139 $9,079 End of Year 11 9 18 3 12 I XYou are considering the purchase of an investment that would pay you $5,000 per year for Years 1-5, $3,000 per year for Years 6-8, and $2,000 per year for Years 9 and 10. If you require a 14%, and the cash flows occur at the end of each year, what is the modified internal rate of return if the initial outlay is $10,000 and the cash flows are reinvested at the required rate of return? 14% 23% 28% 46%
- A project has an initial cost of $8,500 and produces cash inflows of $2,700, $4,800, and $1,600 over the next three years, respectively. What is the discounted payback period if the required rate of return is 8%?Project A has an initial investment of Rs. 19 lakhs and projected cash inflows of Rs. 5,00,000 for 5 years. Project B has an initial investment of Rs.33.75 lakhs and projected cash inflows of Rs. 9,00,000 for 5 years. Assume the discount rate to be 9 percent throughout (a) Work out the Undiscounted and Discounted Pay Back Period for two projects. If the criterion is 5 years, which project should be considered based on Discounted PBP? (b) Work out the Net Benefit Cost Ratio for the two projects. Which project is acceptable? Why?Fiesta Foundry is considering a new furnace that will allow them to be more productive. Three alternative furnaces are under consideration. Perform an incremental analysis of these alternatives using the IRR method for each increment of cash flows. The MARR is 12% per year. Click the icon to view the description of the alternatives. Click the icon to view the interest and annuity table for discrete compounding when the MARR is 12% per year. Perform the incremental PW Analysis. Fill-in the table below (Hint: Order alternatives by increasing capital investment). (Round to the nearest dollar.) Incremental Investment Alternative to be selected Inc. PW Furnace C AC DN Furnace C C 4(B A(A Furnace C -IC iMore Info Furnace B Furnace C Furnace A Initial investment $480,000 $360,000 $220,000 $70,000 Annual revenues $90,000 $11,000 $50,000 15 years $70,000 $6,000 $45,000 Annual cost $14,000 $45,000 Salvage value Life of asset 15 years Annual revenue and cost figures are increases over the "do…
- You have HK$10,000,000 for a particular investment fund. Suppose the fund pays you interest monthly at interest rate of 24% p.a. The term of the fund is similar to time deposit compounded monthly. What is the Annual Equivalent Rate? For how long this investment doubles?You have an opportunity to make an investment that will pay $ 300 at the end of the first year, $ 100 at the end of the second year, $ 200 at the end of the third year, $ 400 at the end of the fourth year, and $500 at the end of the fifth year. a. Find the present value if the interest rate is 9 percent. (Hint: You can simply bring each cash flow back to the present and then add them up. Another way to work this problem is to either use the =NPV function in Excel or to use your CF key on a financial calculator —but you'll want to check your calculator's manual before you use this key. Keep in mind that with the =NPV function in Excel, there is no initial outlay. That is, all this function does is bring all the future cash flows back to the present. With a financial calculator, you should keep in mind that CF0 is the initial outlay or cash flow at time 0, and, because there is no cash flow at time 0, CF0 =0.) b. What would happen to the…a. Determine the expected internal rate of return of this project for seven years, using the present value of an annuity of $1 table above. If required, round youP Pinal answer to the nearest whole percent. b. What are some uncertainties that could reduce the internal rate of return of this project?