4. Grant has made a plan to deposit $12,000 today into a bank account paying a steady rate of 3.75%. At the end of each of the next three years, he will add $6,000 to this account. Finally, he will let the account sit for five years after the last deposit, so he can buy a sports car on his 65th birthday. How much will Grant be able to spend on his sports car?
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- Refer to the present value table information on the previous page. What amount should Brett have in his bank account today, before withdrawal, if he needs 2,000 each year for 4 years, with the first withdrawal to be made today and each subsequent withdrawal at 1-year intervals? (Brett is to have exactly a zero balance in his bank account after the fourth withdrawal.) a. 2,000 + (2,000 0.926) + (2,000 0. 857) + (2,000 0.794) b. 2,0000.7354 c. (2,000 0.926) + (2,000 0.857) + (2,000 0.794) + (2,000 0.735) d. 2,0000.9264Jack is celebrating his 24th birthday today. He wants to start saving in one year’s time, and retire after his 70th birthday. He decides to deposit the same amount of money on his birthday each year in a bank which offers 3% interest per year, compounded annually. Jack hopes to be able to accumulate SGD 700,000 for his saving account, after he made his scheduled deposit on 70th birthday). Determine the amount he must deposit annually. Round to nearest dollarJoe wants to have $50,000 ten years from now to use for a down payment on a house. How much should he deposit each month into an ordinary annuity that pays an annual rate of 4.5% in order to achieve his goal?
- Madison is planning to save for his newborn daughter’s college tuition, to be paid in 18 years. The amount he wishes to have by that time is $70,000. He plans to deposit $2,300 in a bank account every year for 18 years, starting next year. Suppose the account pays 2% interest on deposits, compounded annually. How much would he need to deposit right now, to make up the remaining amount necessary by the end of 18 years? a. $13,378.03 b. $14,529.48 c. $15,841.33 d. $17,003.96 e. $18,458.72.Mike joins a savings program where he deposits $1000 at the beginning of each year for 25 years, In return, he will earn a perpetuity paying $6300 per year with the first payment at the end of the 30th year. The effective interest rate is 5% for the first 20 years and 8% afterward • a) Will Mike have accumulated enough to fund the perpetuity? • b) If your answer above is no, find the unique extra deposit X that Mike has to make at the end of the 28th year in order to fund the perpetuity + Drag and drop an image or PDF file or click to browse.Justin is saving for his retirement 21 years from now by setting up a savings plan. He has set up a savings plan wherein he will deposit $104.00 at the end of every six months for the next 11 years. Interest is 7% compounded semi-annually. (a) How much money will be in his account on the date of his retirement? (b) How much will Justin contribute? (c) How much will be interest?
- Cameron is saving for his retirement 22 years from now by setting up a savings plan. He has set up a savings plan wherein he will deposit $97.00 at the end of every three months for the next 12 years. Interest is 10% compounded quarterly. (a) How much money will be in his account on the date of his retirement? (b) How much will Cameron contribute? (c) How much will be interest? (a) The future value will be $ (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)6. If you desire to have $80,000 for a down payment for a house in 7 years, what amount would you need to deposit each year for these 7 years? Assume that your money will earn 10 percent per year. 7. Kate deposits $9,900 each yearinto her retirement account. If these funds have an average earning of 11 percent over the 40 years until her retirement, what will be the value of her retirement account?8. Hersch's parents set up a fund to help him pay for college. They want him to receive $3000 each month for 5 years, beginning 18 years from now. They plan to invest the money today in an account that pays 4.2% per year compounded monthly. a) How much money must be in the account 18 years from now? b) How much must Hersch's parents invest today? c) How much interest will the fund earn?
- Troy Long wishes to deposit a single sum of money into a savings account so that five equal annual withdrawals of $2000 can be made before depleting the funds. If the first withdrawal is made in year 1 after the deposit and if the bank provides an interest rate of 5% per year, how much money should be deposited now? What if Troy decides to withdraw all that he has deposited in the bank now, 5 years later, how much money should he expect to get with an interest rate of 5%? Draw the cash flow diagram. 2.Slick Sam has a special relationship with his banker. The nature of the relationship is as follows: • The bank owes Sam $100 per year forever. The 1st payment is due in 1 year. • The bank will borrow or lend money to Sam at a constant effective rate of i per year. Today, Sam calculated the present value of the payments that are due to him as X. Sam can receive his first 16 payments at the end of year 16 in a lump sum. If he does that, then the total value of the lump sum and future payments at the end of the sixteenth year is X + 2,000. Calculate X. A B с D E 3,330 3,350 3,400 3,450 3,500William Brown plans to save $5,693 every year for the next eight years, starting today. At the end of eight years, William will turn 30 years old and plans to use his savings toward the down payment on a house. If his investment in a mutual fund will earn him 12 percent annually, how much will he have saved in eight years when he buys his house? (Round factor values to 4 decimal places, e.g. 1.5212 and final answer to 2 decimal places, e.g. 15.25.) Future value of investment $