Determine values for present worth (PW or NPV), future worth (FW), annual worth (AW) AND discounted payback (DPBP) for the following cash flow system. Consider two interest rate scenarios in your evaluations: a. 4% per year, compounded annually b. 12% per year, compounded annually. End of Year Cash Flow 2 3 4 5 6 0 1 -$40,000 $8,200 $8,200 $8,200 $8,200 $8,200 $8,200 7 $8,200
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- Assume that an investment of 100,000 produces a net cash flow of 60,000 per year for two years. The discount factor for year 1 is 0.89 and for year 2 is 0.80. The NPV is a. 0 b. 6,800 c. 1,400 d. (4,000)Find the annual worth (AW) that is equivalent to the following cash flow diagram, if the interest rate is 8% per year. 2 3 4. 6. 7. Time (year) 3000 4000 5000 0. 2000 Cash flow ($) Answer:For the cash flows shown, determine the equivalent future worth in year 10 at an interest rate of 2.5% per month. Year 2 3 5 7 8 10 Cash Inflows, 250 250 250 250 250 250 250 250 250 (a) The compounding period is: (a) The payment period is: (c) The effective interest rate per compounding period is: (d) The effective interest rate per payment period is: (e) The general equation (without numbers) for calculating the equivalent future worth is: (f) After plugging in the numbers, the equation for calculating the equivalent future worth is (calculation is NOT required): 6, 6. 4)
- a)Calculate the internal rate of retum (IRR) of the following cash flow. Determine if this is a good investment for a MARR of 3% per year. b)Calculatethe extemalrate of return (ERR) of the following cash flow by assuming a MARR of 3% per year. Determine if this is a good investment. Cash Flow, $ -100,000 -10,000 -1,000 13,000 13,000 13,000 Cash Flow, $ |16,000 |16,000 16,000 16,000 16,000 16,000 Year 6 Year 1 2 3 4 5 10 11REQUIRED Calculate the following from the information given below: 4.1.1 Payback Period (expressed in years, months and days). 4.1.2 Accounting Rate of Return on initial investment (expressed to two decimal places). 4.1.3 Internal Rate of Return (expressed to two decimal places) if the net cash inflows are R400 000 per year for five years. Your answer must include two net present value calculations (using consecutive rates/percentages) and interpolation. INFORMATION VRH Ltd is considering the purchase of Machine X, details of which are provided below: Initial investment Net cash inflows: Year R 0 (1 500 000) 1 480 000 2 600 000 3 380 000 4 272 000 5 360 000 The cost of capital is 12%. Depreciation is calculated using the straight-line method. No scrap value is expected for the machine. Ignore taxes.Determine the value of W on the right-hand side of the accompanying diagram that makes the two cash-flow diagrams equivalent when /=9% per year. Q $1,150 30 1 2 End of Year $1,150 3 4 5 $1,150 W Click the icon to view the interest and annuity table for discrete compounding when i=9% per year. End of Year The equivalent amount, "W", of the cashflows provided in the diagram is $ 1739. (Round to the nearest dollar.) W OU
- 1. Draw a cash flow diagram showing payments of S6000 now, $2500 two years from now and $4500 six years from now. Interest rate is 9% per year. For the given cash flows find the: a) Total present worth equivalent. b) Total future worth equivalent. and c) Equivalent annual worth (uniform series) from year 1 to 6.1. The following cash-flow streams need to be analyzed: END OF YEAR CASH-FLOW STREAM 1 2 3 4 w $100 $200 $200 $300 $300 600 Y 1,200 z 200 500 300 a. Calculate the future (terminal) value of each stream at the end of year 5 with a com- pound annual interest rate of 10 percent. b. Compute the present value of each stream if the discount rate is 14 percent. 2. Muffin Megabucks is considering two different savings plans. The first plan would have her deposit $500 every six months, and she would receive interest at a 7 percent annual rate, compounded semiannually. Under the second plan she would deposit $1,000 every year with a rate of interest of 7.5 percent, compounded annually. The initial deposit with Plan 1 would be made six months from now and, with Plan 2, one year hence. a. What is the future (terminal) value of the first plan at the end of 10 years? b. What is the future (terminal) value of the second plan at the end of 10 years?What is the present value of the following cash-flow stream if the interest rate is 4%? Year 1: $170; 2: $370; 3:$270
- By using a linear interpolation of the compound interest factors, find the present value of the following cash flow, assuming the interest rate is 7.7% per year. 0- 50 200 150 100 IllFor the cash flow shown below. Find the external rate of return (EROR) using the modified rate of return approach (MIRR), an investment rate of 15% per year, and a borrowing rate of 8% per year. Year 3 4 NCF,$ -9000 +4100 -2000 -7000 +12000 +700 +800 Select one: O a. 7.9% Ob.9.9% O c. 5.9% O d. 11.9%Calculate the total present value of the following cash flow amounts received at the end of each year. The interest rate is 10%. (Round up your answer to the nearest Rand) Year Cash flow 1 R3 000 2 R2 000 3 R5 000 se the following tables, containing the discounting factors, as needed for this question: Discounting factors to calculate present values Periods 5% 10% 15% 1 0,9524 0,9091 0,8696 2 0,9070 0,8264 0,7561 3 0,8638 0,7513 0,6575 4 0,8227 0,6830 0,5718 5 0,7835 0,6209 0,4972 6 0,7462 0,5645 0,4323 Discounting factors to calculate future values Periods 5% 10% 15% 1 1,0500 1,1000 1,1500 2 1,1025 1,2100 1,3225 3 1,1576 1,3310 1,5209 4 1,2155 1,4641 1,7490 5 1,2763 1,6105 2,0114 6 1,3401 1,7716 2,3131