A father is now planning a savings program to put his daughter through college. She is 13, plans to enroll at the university in 5 years, and she should graduate 4 years later. Currently, the annual cost (for everything - food, clothing, tuition, books, transportation, and so forth) is $18,000, but these costs are expected to increase by 6% annually. The college requires total payment at the start of the year. She now has $7,000 in a college savings account that pays 9% annually. Her father will make six equal annual deposits into her account; the first deposit today and sixth on the day she starts college. How large must each of the six payments be? Do not round intermediate calculations. Round your answer to the nearest dollar. (Hint: Calculate the cost (inflated at 6%) for each year of college and find the total
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- Justin and Candice are saving for their daughter Alyssa's college education. Alyssa just turned 10 (at t = 0), and she will be entering college 8 years from now (at t = 8). College tuition and expenses at State U. are currently $15,000 a year, but they are expected to increase at a rate of 3.5% a year. Alyssa should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. Tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11).So far, Justin and Candice have accumulated $14,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $5,000 in each of the next 4 years (at t = 1, 2, 3, and 4). Then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. They expect their investment account to earn 7%. How large must the annual payments at t = 5, 6, and 7 be to cover Alyssa's anticipated college costsarrow_forwardA professor has two daughters that he hopes will one day go to college. Currently, in-state students at the local University pay about $20,366.00 per year (all expenses included). Tuition will increase by 5.00% 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,…arrow_forwardA man wants to set up a 529 college savings account for his granddaughter. How much would he need to deposit each year into the account in order to have $40,000 saved up for when she goes to college in 16 years, assuming the account earns a 4% return.arrow_forward
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