What is the equivalent uniform annual payment for the following cash flows if the interest rate is 10%? Populate the following table and compute the equivalent uniform annual payment. Show all work and provide an explanation. Do not use Excel. [Hint: This problem is a mix of annuity, gradient, and a single future cash flows.] ΕΟΥ 1 2 3 4 5 6 7 8 9 10 Cash Flows $2,000 $3,000 $4,000 $5,000 $6,000 $7,000 $8,000 $9,000 $10,000 $14,000 Annuity Gradient Future
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- Suppose you receive cashflows of $10 at year 1, $12 at year 2, $14 at year 3 and $16 at year 4. What would be the value of the cashflows at year 2 at a 5% annual interest rate? MUST SHOW FULL WORK (NO EXCELL) a. 38.3458 b. 50.3458 c. 42.0000 d. 12.0000 e. 49.3621What is the equivalent uniform annual payment for the following investment if the interest rate is 10%? Populate the following table and compute the uniform annual payment. Show all work and provide a comment. [Hint: This problem is a mix of annuity, gradient, and a single future cash payment] ΕΟΥ Cash Flows 1 $4,000 2 $4,500 3 $5,000 4 $5,500 5 $6,000 60 $6,500 7 $7,000 00 8 $7,500 9 $8,000 10 $15,500 Annuity Gradient FutureConsider end-of-year cash flows for $8000, $15000, $22000, $29000, and $36000 for years 1 to 5. [ Select ) If the series of cash flows is to be split into a uniform series and a uniform gradient, what is the uniform annuity amount A? ( Select ) If the series of cash flows is to be split into a uniform series and a uniform gradient, what is the uniform gradient amount G? What is the uniform annual equivalent if the interest rate is 12% per year? [ Select ) ( Select ] What is the future equivalent if the interest rate is 12% per ycar? [ Select] What is the present equivalent if the interest rate is 12% per year?
- 500 Calculate the value of X to suit this cash flow diagram with i = 9%. X is an end of period payment. Provide modified cash flow diagram(s) necessary for your solution, and show all work. 400 300 200 100 2.Single Cash Flow Present Value Inputs Single Cash Flow $1,000 Discount Rate/Period 6% Number of Periods 5 Present Value using a Time Line Period 1 2 3 4 Cash Flows Present Value of Each Cash Flow Present Value Present Value using the Formula Present Value Present Value using the PV Function Present ValueEconomics please solve it with details and write explantion for each step 5-14 The cash-flow diagram below has an internal rate of retum of 25%. What is the value of Y if perpetual service is assumed? (53.3) $500.000 EOY SS00.000 00o00 IS
- Consider the following cash flows: Year Cash Flow 0 –$ 32,000 1 14,200 2 17,500 3 11,600 a. What is the NPV at a discount rate of zero percent? (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) b. What is the NPV at a discount rate of 10 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What is the NPV at a discount rate of 20 percent? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) d. What is the NPV at a discount rate of 30 percent? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)The following diagrams below show cash flow streams having zero present value. Suppose that 2% is a one-period interest rate. Compute X in each case. Use the least number of compounding factors when possible and use your last 2 digits from your registration number for the missing payment. 100 1 200 2 300 missing 3 500 4 600 5 6(1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?
- A machine has the following cash flows: CF0 = -361,000; CF1 = -90,000; CF2 = -56,000. What is the machine's equivalent annual annuity (EAA) using a cost of capital of 7%? Round your answer to the nearest dollar. Be sure to enter a negative sign (-) if your answer is a negative number.14) Consider the following cash flows. The interest rate is 8%. What is the duration (hint: you need PV)? Year 0 1 2 3 4 Cash flow 150 120 100 200A project is being analyzed with the following set of cash flows. Calculate the internal rate of return (IRR). (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Cash Year Flow 0 16,000 123 6,700 8,000 6,500 IRR %