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- Elijah and Laila are saving for their daughter Tanisha's college education. Tanisha 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 $15,500 a year, but they are expected to increase at a rate of 4.0% a year. Tanisha 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, Elijah and Laila have accumulated $17,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $6,000 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 Tanisha's anticipated college costs?Jeremiah and Taylor are saving for their daughter Ciara's college education. Ciara 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 2.5% a year. Ciara 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, Jeremiah and Taylor have accumulated $10,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $4,000 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 9%. How large must the annual payments at t = 5, 6, and 7 be to cover Ciara's anticipated college costs? a. $6,955.08 b.…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 $6,000 in a college savings account that pays 8% 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? (Hint: Calculate the cost (inflated at 6%) for each year of college and find the total present value of those costs, discounted at 8%, as of the day she enters college. Then find the compounded value of her initial $6,000 on that same day. The difference between the PV of costs and the amount that would be in the savings account must be…
- 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 present value of those costs, discounted at 9%, as of the day she enters college. Then find the compounded value of her initial $7,000 on that same day. The difference…“John and Daphne are saving for their daughter Ellen's college education. Ellen 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 $14,500 a year, but they are expected to increase at a rate of 3.5% a year. Ellen 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, John and Daphne have accumulated $13,000 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 9%. How large must the annual payments at t = 5, 6, and 7 be to cover Ellen's anticipated college costs?” a. $3,069.41 b. $3,598.62…Natasha is going to take out an unsubsidized student loan of $13,500 at a 4.2% APR, compounded monthly, to pay for her last 2 semesters of college. She will begin paying off the loan in 9 months with monthly payments lasting for 12 years, and she's wondering what her monthly payment will be. She's also wondering what her monthly payment would have been if her student loan had been subsidized instead of unsubsidized. Help Natasha figure it out. Part I: What is the periodic interest rate of the student loan that Natasha is going to take out? Part II: What is the total amount that Natasha will owe when she starts making payments? Part III: How many monthly payments will Natasha have made once her loan is paid off? Part IV: What will Natasha's monthly payment be? Part V: What would Natasha's monthly payment have been if her student loan was subsidized instead of unsubsidized?
- Joseph and Makena are saving for their daughter Dalia's college education. Dalia 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 $15,500 a year, but they are expected to increase at a rate of 3.5% a year. Dalia 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, Joseph and Makena have accumulated $14,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $4,500 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 10%. How large must the annual payments at t = 5, 6, and 7 be to cover Dalia's anticipated college costs? a. $3,178.71…Nathan and Stephanie are saving for their daughter's college education. Their daughter, Paige, is now 8 years old and will be entering college 10 years from now (t = 10). College tuition and expenses at State U. are currently $16,000 a year and are expected to increase at a rate of 4% a year. They expect Paige to graduate in 4 years (if Paige wants to go to graduate school, she's on her own). Tuition and other costs will be due at the beginning of each school year (at t = 10, 11, 12, and 13). So far, Nathan and Stephanie have built up $9,000 in the college savings account. Their long-run financial plan is to contribute $3,000 a year at the beginning of each of the next five years (at t = 0, 1, 2, 3, and 4). Then they plan to make 6 equal annual contributions at the end of each of the following 6 years (t = 5, 6, 7, 8, 9, and 10). Their investment account is expected to earn 8%. How large must the annual payments be in the subsequent 6 years (t = 5, 6, 7, 8, 9, and 10) to meet their…The cost of tuition at the college that Lacy wants to attend is $12,500 per year. Lacy’s family will pay 70% of the tuition cost each year. Lacy has two years to save enough money to attend her first year of college. What is the minimum amount that she should save each month in order to have enough money to attend her first year of college? $156.25 $729.17 $3,750.00 $312.50
- you live in the mobile home for four years, but your roommate also pays you $3,000 a year, paid to you at the beginning of each year. The cost of the mobile home is $15,000, paid immediately. At the end of four years, you can sell the mobile home for $9,000. You have no maintenance on the home because you were such a smart manager. Using Future Value, what is the cost of your college housing, assuming the 8% interest rate?A father is now planning a savings program to put hisdaughter through college. She is 13, plans to enroll at the university in 5 years, and shouldgraduate 4 years later. Currently, the annual cost (for everything—food, clothing, tuition,books, transportation, and so forth) is $12,000, but these costs are expected to increase by6% annually. The college requires total payment at the start of the year. She now has $10,000in a college savings account that pays 9% annually. Her father will make six equal annualdeposits into her account; the first deposit today and the sixth on the day she starts college.How large must each of the six payments be? (Hint: Calculate the cost (inflated at 6%) foreach year of college and find the total present value of those costs, discounted at 9%, as ofthe day she enters college. Then find the compounded value of her initial $10,000 on thatsame day. The difference between the PV of costs and the amount that would be in the savingsaccount must be made up by the…