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- 10. The compound interest on a certain sum of money at 25% for 3 years is Php 47,656.25. Its simple interest at the same rate and for the same period is Php Blank 1.1. 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.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: $106,752.47
- 7. What is the amount of 10 equal annual deposits that can provide five annual withdrawals, when a first withdrawal of $29263 is made at the end of year 11, and subsequent withdrawals increase at the rate of 10% per year over the previous year's, if the interest rate is 10%, compounded annually? Draw the cash flow diagram and use interest rate with five decimal places.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.How long in years will a certain sum of money to triples its amount vhen deposited at a rate of 13% compounded monthly? O 9.50 vrs O 10.50 vrs O 8.50 yrs O 11.50 yrs - please use manual calculation thank you
- 2 A man borrowed Php 120,000 and promised to pay annually for 5 years. The payment starts at "X' pesos. The man intends to increase his payments by Php 5,000 at the end of each successive year. If the interest rate is 8% compounded annually, how much will the first payment cases be? If the man decides to pay annually with 8 equal payments with the first payment to be madeafter 4 years, what will be the amount of the annual payment? Construct the cash flow diagram for both cases.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 $40,000 semiannually over the first 10 years of his retirement? Assume that his first withdrawal occurs at the end of six months after his retirement. (Hint: Apply concept of economic equivalence at the end of 20 years).Suppose P100, 000 is deposited in an account that earns 8% compound interest that is compounded semi-annually. In how many years will the initial investment triple? a.13.01 years b.14.01 years c.14 years d.13 years As advised by your financial adviser, you started to save P15,000 and deposited it every in the beginning of each month in a bank with 6% interest compounded annually, How much is the total amount after 8 years? (Hint: Future Value of General Annuity Due) a. 4,935,561.09 b. 3,495,561.09 c. 5,493,561.09 d. 9,435,561.09
- What uniform annual payment for 12 years is equivalent to receiving all of the following:$ 3,000 at the end of each year for 12 years20,000 today4,000 at the end of 6 years800 at the end of each year forever10,000 at the end of 15 yearsUse an 8% interest rate.You plan to retire in 15 years. After retirement you will need $20,000 per yearfor 20 years. If interest remains at 8% compounded annually, how much shouldyou deposit each year until retirement? (Note that you will make a total of 15 endof-year deposits, and your first withdrawal will be made at the end of 16th year.)(a) $13,091 (b) $7,811(c) $6,993 (d) $7,232Suppose 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?