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- 4. 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.Pls solve for the ordinary annuity of the following: Joe deposits $22,000 at the end of each year for 7 years, in an account paying 6 % compounded annually, how much will he have on deposit after 7 years? Ans: $184,664.43 Napoleon deposits $1,200 at the end of each quarter for 10 years, in an account paying 8 % compounded quarterly, how much will he have on deposit after 10 years? Ans: $72,482.38 Jose wants to retire in twenty years and for this purpose he is depositing $200 at the end of each month in a sinking fund that pays 7.2% compounded monthly. If he will be doing this for twenty years, then how much money will be there for him when he retires? Ans: $106,752.479.How much will you accumulate if you invest $800 a year for 10 years at a rate of 8% per year? How much will you accumulate if $200 per quarter is invested at a rate of 8% per year compounded quarterly? 10.You now have $20,000 which can be invested at 9% per year. a.For how many years can you spend $2671? b.What is the most you can spend per year for the next 20 years?
- 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.2.4 A man wishes to provide a fund for his retirement such that from his 60th to 70th birthdays hewill be able to withdraw equal sums of P18,000 each for his yearly expenses. He investsequal amounts from his 41st to 59th birthdays in a fund earning 10% compounded annually.How much should each of these amounts be?1. An engineer plans to borrow $25,000 to open his own consulting business. He must repay $500 a month for 5 years. What is the nominal annual interest rate (compounded annually)? 2. An engineer is planning a 15 year retirement. She has decided that she will need to withdraw $4,000 each month from her bank account to live. How much money should she have in the bank at the start of her retirement, if the bank pays 0.25% interest per month (compounded monthly)? Hint: There are 15 x 12 compounding periods.
- 3. If you deposit $1000 in an account that pays 5% interest, compounded annually, how much will you have at the end of 10 years? 50 years? 100 years? What if this is compounded Semi annually in 10 years? 50 years? 100 years?2. By the condition of a will, the sum of 25 000 pesos is left to a girl to be held in trust by her guardian until it amounts to 45,000 pesos. When will the girl receive the money if the fund is invested at 8% compounded quarterly? (Sketch the cash-flow diagram).Suppose P100, 000 is deposited in an account that earns 8% compound interest that is compounded semi-annually. In how many years will the initial investment triple? a.13.01 years b.14.01 years c.14 years d.13 years As advised by your financial adviser, you started to save P15,000 and deposited it every in the beginning of each month in a bank with 6% interest compounded annually, How much is the total amount after 8 years? (Hint: Future Value of General Annuity Due) a. 4,935,561.09 b. 3,495,561.09 c. 5,493,561.09 d. 9,435,561.09
- 3. A person invests 4,500 in the hopes of receiving a return in eight years. What amount, in pesos, will be recovered eight years from now if the interest rate on the investment is 14.54 percent per year, compounded annually? 4. Calculate the compounded interest after 7 years and 9 months if 500,000 is placed at an annual rate of 11.28 percent compounded monthly. On January 1, 1988, a total of 5,200,000 was deposited at a rate of 24.50 percent compounded semi-annually. What was the value of the sum on January 1, 1993? 3 decimal placesA Store makes a $10,500 investment at a Bank Ltd on January 1, 2019. At the end of December 31, 2023, the Store is expected to accumulate an amount of $17166.25? i. Calculate the interest rate needed to procure this investment? ii. How long will it take for the initial amount invested to be doubled, given that interest is compounded annually at the rate?Cory Manciagli is planning to retire in 20 years. Money can be deposited at 6% compounded quarterly. What quarterly deposit must be made at the end of each quarter until Cory retires so that he can make a withdrawal of $40,000 semiannually over the first 10 years of his retirement? Assume that his first withdrawal occurs at the end of six months after his retirement. (Hint: Apply concept of economic equivalence at the end of 20 years).