Consider 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?

Cashflows: Year 1 = $8,000 ;Year 2 = $15,000; Year 3 = $22,000 ; Year 4 = $29,000; Year 5 =…

Answered: Consider end-of-year cash flows for…

Corporate Fin Focused Approach

5th Edition

ISBN:9781285660516

Author:EHRHARDT

Publisher:EHRHARDT

Chapter4: Time Value Of Money

Section: Chapter Questions

Problem 1Q

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Project Y cost $8,000 and will generate net cash inflows of $1,500 in year one, $2,000 in year two, $2,500 in year three, $3,000 in year four and $2,000 in year five. What is the NPV using 8% as the discount rate?
Project B cost $5,000 and will generate after-tax net cash inflows of $500 in year one, $1,200 in year two, $2,000 in year three. $2,500 in year four, and $2,000 in year five. What is the NPV using 8% as the discount rate? For further instructions on net present value in Excel, see Appendix C.
(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%?
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)
Consider a loan of $10,000 and the following pattern of cash flows. a. What is the interest rate that makes the present worth equal to $0.00? b. Using the interest rate determined in part (a), and leaving the −$10,000 at year 0 in place, determine the equal annual incomes that are equivalent to the gradient series in years 1, 2, 3, and 4?
What uniform series over the interval [11,20] will be equivalent to a uniform series of $10,000 cash flows over the interval [1,10] based on: a. A 6% interest rate? b. A 10% interest rate?
Consider the following cash flow profile: Suppose the positive-valued cash flows are now replaced by a geometric series. If the cash flow at end of year 1 is $10,000, what geometric rate is required for the cash flow profiles to be equivalent? Interest is at a compounded annual rate of 6%.
When an investment’s annual net cash inflows are equal every year, the investment’s payback period can be calculated as: (See your Chapter 25 notes, page 2) When an investment’s annual net cash inflows are equal every year, the investment’s payback period can be calculated as: (See your Chapter 25 notes, page 2) Initial cost of the investment minus the annual net cash inflow Average amount of the investment divided by the average annual net income Initial cost of the investment divided by the annual net cash inflow Present value of net cash inflow divided by the initial cost of the investment Future value of net cash inflow divided by the initial cost of the investment Present value of the net cash inflow minus the initial cost of the investment Annual net cash inflow minus the initial cost of the investment Average annual net income divided by the average amount of the investment
A cash flow at time zero (now) of $9,982 is equivalent to another cash flow that is an EOY annuity of $2,500 over five years. Each of these two cash-flow series is equivalent to a third series, which is a uniform gradient series. What is the value of G for this third series over the same five-year time interval? (a) $994 (b) $1,150 (c) $1,250 (d) $1,354 (e) Not enough information given.
Consider the following two cash flow series of payments: Series A is a geometric series increasing at a rate of 8% per year. The initial cash payment at the end of year 1 is $1,000. The payments occur annually for 5 years. Series B is a uniform series with payments of value X occurring annually at the end of years 1 through 5. You must make the payments in either Series A or Series B. Solve, a. Determine the value of X for which these two series are equivalent if your TVOM is i = 6.5%. b. Given the value of X from part a, if your TVOM is 8%, would you be indifferent between these two series of payments? If not, which do you prefer? c. Given the value of X from part a, if your TVOM is 5%, would you be indifferent between these two series of payments? If not, which do you prefer?
Assume that you will receive $2,000 a year in Years 1 through 5, $3,000 a year in Years 6through 8, and $4,000 in Year 9, with all cash flows to be received at the end of the year. Ifyou require a 14 percent rate of return, what is the present value of these cash flows? a. $ 9,851b. $13,250c. $11,714d. $15,129e. $17,353
At a rate of 8%, what is the present value of the following cash flow stream? $0 at Time 0; $100 at the end of Year 1; $300 at the end of Year 2; $0 at the end of Year 3; and $500 at the end of Year 4? use excel.

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