Assume the couple John and Helen want to fund a college education for their son, William, age 2. William will attend college starting at age of 18. He needs $90,000 available at age 18 for his college expense.  The couple feels they can make 6% after-tax return annually in a 529 education fund.  How much do they need to deposit today to meet their goal?     Assume the couple John and Helen want to fund a college education for their son, William, age 2. William will attend 4 years of college starting at age of 18. He needs $60,000 available at age 18 for his college expense.   Starting from now, the couple plans to invest $3000 to the 529 education fund at the end of each year.  What rate of annual return do they need to achieve?

When Steven was 5 years old (on his birthday), his grandmother decided to set up a trust account to pay for his college education. She wanted the account to grow to $100,000 by his 18th birthday. If she was able to invest her money at 7% per year, how much did she have to deposit into this trust account? (Note: The amount deposited is known as the present value of the investment. The $100,000 is known as the future value. Round your answer to the nearest cent.)

Jack wins a lottery. He now wants to put a fixed amount into a savings account paying   j1= 4% to cover the university cost of his child 10 years from today. The costs are estimated to be $8500 for the first year, $8500(1.03) for 2nd year, $8500(1.03)2 for the 3rd year and in the fourth year $8500(1.03)3 . How much does Jack need to deposit today to cover the above cost, starting 10 years from today?

You want your daughter to be a millionaire. She is 3 years old today when you deposit $42,000 in an account that earns 8.2% per year. The funds in the account will be distributed to your daughter whenever the total reaches $1,000,000. How old will your daughter be when she gets the money?

Gabe and Sarah would like to begin saving for their children's college education. They would like to know the amount of college funds that would be necessary on day one of college to pay for all tuition costs for each child. The current tuition at the university is $25,000. The couple is comfortable assuming an annual rate of return of 6% on their college investment savings program. They anticipate that each child will begin college at age 18 and attend for four years. The Consumer Price Index (CPI) is expected to be 3% and the expected college inflation rate is 5% per year.

Tom and Sandy have set up a sinking fund in order to have $21,000.00 in 5 years for their child's college education. How much should be paid monthly into an ordinary annuity earning 7.46% compounded monthly so that they reach their goal? How much interest is earned during the last year? (Note: Your answer is a dollar amount and should include a dollar sign)

A professor has two daughters that he hopes will one day go to college. Currently, in-state students at the local University pay about $21,413.00 per year (all expenses included). Tuition will increase by 4.00% per year going forward. The professor's oldest daughter, Sam, will start college in 16 years, while his youngest daughter, Ellie, will begin in 18 years. The professor is saving for their college by putting money in a mutual fund that pays about 8.00% per year. Tuition payments are at the beginning of the year and college will take 4 years for each girl. (Sam's first tuition payment will be in exactly 16 years) The professor has no illusion that the state lottery funded scholarship will still be around for his girls, so how much does he need to deposit each year in this mutual fund to successfully put each daughter through college.

A professor has two daughters that he hopes will one day go to college. Currently, in-state students at the local University pay about $20,246.00 per year (all expenses included). Tuition will increase by 4.00% per year going forward. The professor's oldest daughter, Sam, will start college in 16 years, while his youngest daughter, Ellie, will begin in 18 years. The professor is saving for their college by putting money in a mutual fund that pays about 8.00% per year. Tuition payments are at the beginning of the year and college will take 4 years for each girl. (Sam's first tuition payment will be in exactly 16 years) The professor has no illusion that the state lottery funded scholarship will still be around for his girls, so how much does he need to deposit each year in this mutual fund to successfully put each daughter through college. (ASSUME that the money stays invested during college and the professor will make his last deposit in the account when Sam, the OLDEST daughter,…

When Joe graduated from college at age 22, his grandparents established a trust fund and endowed it with $10,000. The gift is intended to serve as a retirement fund for Joe, and he will be able to draw on it when he turns 62. If the fund earns a nine percent return over that period, what will it be worth when Joe reaches age 62? [submit your answer with a comma but no dollar signs]

Your daughter needs to be able to draw $50,000 a year from her college savings fund (you started from birth) to pay for college expenses to obtain a medical degree (assume she spends 4 years for bachelor, 4 years for med school, then additional 2 years as resident and yearly spending will be consistent from year to year). At start of her college career, she intends to invest her savings in government securities that should return 5.5% a year compuounded continuously. a. Obtain the equation for dP/dt and then find the genearl solution of P(t) with, as yet undetermined, initial value P_0. b. How large must your daughter's initial college savings be so that she can continue drawing her $50,000 income until she becomes a doctor?