Question 5 You expect to receive the following: $2,822 at the end of each year for 12 years $16,002 today $4,408 at the end of year 6 $1,532 at the end of each year forever $8,162 at the end of 15 years What is the uniform annual payment for the first 12 years equivalent to the above payment scheme, if the interest rate is 8%? Enter your answer as follow: 123456
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- Suppose Sally’s current salary is $62,000 per year, and she is planning to retire 25 years from now. She anticipates that her annual salary will increase by $1,800 each year. in the first year she will earn $62, 000 in the second year $63, 800 in the third year $65, 600 and so forth.) At the end of each of the next 25 years, she plans to deposit 10% of her salary from that year into a retirement fund that earns 6% interest compounded daily. How much money will be in her account at the time of her retirement?Rework part (f), assuming that Annie holds the bond for 10 years and sells it when the required return is 7.0%. Compare your finding to that in part (f), and comment on the bond's maturity risk. PV= 1,000 N=10 I/Y= 7% Assume that Annie buys the bond at its current price of $983.80 and holds it until maturity. What will her current yield and yield to maturity (YTM) be, assuming annual interest? After evaluating all of the issues raised above, what recommendation would you give Annie with regard to her proposed investment in the Atilier Industries bonds?If you deposit $4,800 at the end of each of the next 15 years into an account paying 11.3 percent interest, how much money will you have in the account in 15 years? How much will you have if you make deposits for 30 years?
- Today, you invest ₱100,000 into a fund that pays 25% interest compounded annually. Three years later, you borrow ₱50,000 from a bank at 20% annual interest and invest in the fund. Two years later, you withdraw enough money from the fund to repay the bank loan and all interest due on it. Three years from this withdrawal you start taking ₱20,000 per year out of the fund. After five withdrawals, you withdraw the balance in the fund. How much was withdrawn? Note: Draw the cashflow diagramToday, you invest ₱100,000 into a fund that pays 25% interest compounded annually. Three years later, you borrow ₱50,000 from a bank at 20% annual interest and invest in the fund. Two years later, you withdraw enough money from the fund to repay the bank loan and all interest due on it. Three years from this withdrawal you start taking ₱20,000 per year out of the fund. After five withdrawals, you withdraw the balance in the fund. How much was withdrawn? Note: Draw the cashflow diagram and solve using the formula of annuities4. Eleanor makes year-end deposits of 500,000 the first year, 550,000 the second year, 605,000 thethird year, and so on increasing the next year’s deposit by 10% of the deposit in the preceding yearuntil the end of the 10th year. Ronald makes equal year-end deposits of 720,00,000 each year for 10years. A.) Is the gradient of Eleanor’s payments increasing or decreasing?B.) If interest on both funds is 12% compounded annually, who will be able to save more atthe end of 10 years.
- Suppose Ted deposits $10,000 in a savings plan earning 5% compounded annually and Tess deposits $10,000 ina savings plan earning 10% compounded annually. Both leave their money on deposit for 40 years. Because Tess’srate is twice as great as Ted’s rate, is it true that Tess will earn twice as much interest? Explain why or why not.Then show calculations to prove your point of view. What is the future value for each investment? N i PV PMT FV 5 10Suppose that an oil well is expected to produce 1,200,000 barrels of oil during its firstyear in production. However, its subsequent production (yield) is expected to increaseby 9% over the previous year's production. The oil well has a proven reserve of10,500,000 barrels. (a)Suppose that the price of oil is expected to be $120 per barrel for the next six years.What would be the present worth of the anticipated revenue stream at an interest rateof 10% compounded annually over the next six years?(b)Suppose that the price of oil is expected to start at $120 per barrel during the firstyear, but to increase at the rate of 3% over the previous year's price. What would bethe present worth of the anticipated revenue stream at an interest rate of 10%compounded annually over the next six years?(c)Consider part (b) again. After three years' production, you decide to sell the oil well.What would be a fair price?What uniform annual payment for 30 years is equivalent to spending $10,000 immediately, $10,000 at the end of 10 years, $10,000 at the end of 20 years, and $2,000 a year for 30 years? Assume an interest rate of 8%.
- Consider the following cash flow: A1=−900 A2=−1,100, A3=−1,300 A4=−1,500. (1)Compute the future value at t = 4 based on an interest rate of 2%. Round to the nearest dollar (2)Define an equal payment series of three cash flows over the time period [2, 4]. What would be the value of A? Round to the nearest dollar.Suppose a man purchases a luxury car with an initial down payment of $20,000 and then makes quarterly payments: $2000 at the each of each quarter for six years and $3500 at the end of each quarter for eight more years. Given an interest rate of 6% compounded quarterly, find the present value of the payments and the list price of the luxury car.1. What is the Single Payment Compound Amount factor for an interest rate of 2% over 10 years? 2. What is the Uniform Gradient Future Worth factor for an interest rate of 10% over 10 years? 3. What is the Uniform Series Present Worth factor for an interest rate of 5.5% over 20 years? 4. A bank pays 3% interest per year (compounded annually). a. To what amount will a $5,000 deposit grow if left in the bank for 10 years? b. Draw the Cash Flow Diagram for this problem.