Question

Your cousin is currently 12 years old. She will be going to college in 6 years....

Your cousin is currently 12 years old. She will be going to college in 6 years. Your aunt and uncle would like to have $ 120,000 in a savings account to fund her education at that time. If the account promises to pay a fixed interest rate of 4.5 % per​ year, how much money do they need to put into the account today to ensure that they will have $ 120,000 in 6 ​years?

Homework Answers

Answer #1
This can be solved using the Future value = Present value * (1+r)^n
Future value = $ 120,000/. In 6 years
Present value = Deposit to be made today = ?
"r" is rate of interest = 4.50%
"n" is number of years = 6
120000=Present value * (1+0.045)^6
120000=Present value * 1.302260
Present value is = (120000/1.302260)
Present value is = $ 92,147.49/.
Money do they need to put into the account today is $ 92,147/.
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1.What is the present value of $14,000 ?received: a. 28 years from today when the interest...
1.What is the present value of $14,000 ?received: a. 28 years from today when the interest rate is 4% per? year? b.14 years from today when the interest rate is 4% per? year? c. 7 years from today when the interest rate is 4% per? year? a. 28 years from today when the interest rate is 4% per? year? 2. Your cousin is currently 8 years old. She will be going to college in 10 years. Your aunt and uncle...
Your daughter just turned 4 years old. You anticipate she will start University when she turns...
Your daughter just turned 4 years old. You anticipate she will start University when she turns 18. You would like to have funds in a registered education savings plan (RESP) to fund her education at that time. You anticipate she will spend 6 years in university, and it will cost $20,000 per year. She will need the $20,000 at the start of each school year. When she graduates (debt free) you would also like her to have $40,000 for a...
Your second cousin has just turned 30 years old, has just received her master’s degree in...
Your second cousin has just turned 30 years old, has just received her master’s degree in neurofinance and has accepted her first job. Now she must decide how much money to put into her retirement plan. The plan works as follows: Every dollar in the plan is expected to earn 8% per annum. She cannot make withdrawals until she retires on her sixty-fifth birthday. After that point, she can make withdrawals as she sees fit. She plans on living to...
Yumi's grandparents presented her with a gift of $22,000 when she was 9 years old to...
Yumi's grandparents presented her with a gift of $22,000 when she was 9 years old to be used for her college education. Over the next 8 years, until she turned 17, Yumi's parents had invested her money in a tax-free account that had yielded interest at the rate of 4.5%/year compounded monthly. Upon turning 17, Yumi now plans to withdraw her funds in equal annual installments over the next 4 years, starting at age 18. If the college fund is...
Luke and Monica are proud parents of baby Lily who is 2 years old. They want...
Luke and Monica are proud parents of baby Lily who is 2 years old. They want to send Lily to Presbyterian Ladies’ College (PLC), a prestigious private girl college, when Lily enters secondary college. They estimate that to fully fund the cost of Lily’s secondary education they will need to have $120,000 at the time Lily is 13 years old. They currently have $10,000 in an education fund for Lily which will be invested at 8% per annum until she...
b. Luke and Monica are proud parents of baby Lily who is 2 years old. They...
b. Luke and Monica are proud parents of baby Lily who is 2 years old. They want to send Lily to Presbyterian Ladies’ College (PLC), a prestigious private girl college, when Lily enters secondary college. They estimate that to fully fund the cost of Lily’s secondary education they will need to have $120,000 at the time Lily is 13 years old. They currently have $10,000 in an education fund for Lily which will be invested at 8% per annum until...
Your child is currently 2 years old. You plan to save for your child’s college education...
Your child is currently 2 years old. You plan to save for your child’s college education expenses by depositing 5% of your annual salary into an account that pays 6% interest compounded annually. If your salary is $100,000 next year when you make the first deposit, and you expect your salary to grow at 4% a year after that. How much do you have saved in 16 years when your child goes to college?
A father is now planning a savings program to put his daughter through college. She is...
A father is now planning a savings program to put his daughter through college. She is 13, she plans to enroll at the university in 5 years, and she should graduate in 4 years. Currently, the annual cost (for everything - food, clothing, tuition, books, transportation, and so forth) is $13,000, but these costs are expected to increase by 6% annually. The college requires that this amount be paid at the start of the year. She now has $10,000 in...
1. Assume the total expense for your current year in college equals $25,000. Approximately how much...
1. Assume the total expense for your current year in college equals $25,000. Approximately how much would your parents have needed to invest 25 years ago in an account paying 4.5% compounded annually to cover this amount? 2. Your Capital Two credit card account charges interest at the rate of 1.85% per month. You would pay an effective annually compounded rate of _______ and an APR of _______. 3. How much money will you have in your bank account in...
A parent is now planning a savings program to put a daughter through college. She is...
A parent is now planning a savings program to put a daughter through college. She is 13 and plans to enroll in college in 5 years, and she should graduate 4 years later. Currently, the annual cost for college is $15,000 and is expected to increase 4% each year. The college requires that the costs be paid at the start (hint: beginning) of each year. The child now has $7,500 saved for college in an account and is expected to...