A family is getting a divorce, and part of the divorce settlement involves setting aside money today for college tuition for their daughter who enters college in 12 years. They estimate that the cost of four years' tuition, food, and lodging at the state university their daughter will attend will be $35,400. (a) Find the lump sum that must be invested at 4% semiannually. (b) Find the amount of interest earned.

A family is getting a divorce, and part of the divorce settlement involves setting aside money today for college tuition for their daughter who enters college in 12 years. They estimate that the cost of four years' tuition, food, and lodging at the state university their daughter will attend will be $35,400. (a) Find the lump sum that must be invested at 4% semiannually. (b) Find the amount of interest earned.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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A grandmother has a granddaughter entering university next year. Her granddaughter expects to remain in school for five years and receive a PhD. This grandmother wishes to provide P 50,000 semiannually to her granddaughter to help her with the expenses. (a) Assuming a 4.5% interest rate convertible semiannually, how much does the grandmother have to deposit today to provide ten annual payments starting six months from now and continuing for ten years? (b) How would this compare (use order relation symbols e.g. (a)>(b) ). if the granddaughter receives half of the amount every quarter at 4.5% interest convertible quarterly; (c) Do (a) if each of the payments was to be given before each semester start instead?
In addition to these monthly expenses, other future outlays must be accounted for. Before they had a child, Sondra worked as a real estate agent, but her knowledge and skills are now somewhat outdated. Therefore, they include $30,000 for Sondra to go back to school. Additionally, Shen and Sondra want to create a college fund of $35,000 to fund their child’s college education. They estimate that final expenses (funeral costs and estate taxes) will amount to $12,000. Finally, they have taken out a loan for home improvements of $130,000 and an automobile loan of $5,000. They own their home but still have an outstanding mortgage of $300,000. Using this information, complete the next portion of Step 1 to determine the total financial resources needed. 2. Special needs a. Spouse’s education fund b. Child’s college fund c. Other needs $0 3. Final expenses (funeral costs and estate taxes) 4. Debt liquidation a. House mortgage b. Other loans c.…
Jenny and Leo plan to purchase a new house and the couple is able to obtain a 25-year 3.6% (per annum, compounded monthly) amortised loan but they must put down 20% deposit. The loan requires end-of-month repayments of $2,500 where the first payment is due a month after the loan is taken. Assuming that the couple has enough savings for the down payment, what is the cost of the house that they want to purchase? a. 494,068.50 b. 2,470,342.49 c. 750,000 Od. 617,585.62
A couple plans to save for their child's college education. What principal must be deposited by the parents when their child is born in order to have $40,000 when the child reaches the age of 18? Assume the money earns 7% interest, compounded quarterly. (Round your answer to two decimal places.)
A client's child will be attending college in 5 years. Assume current tuition and fees are $46, 142, and inflation for college costs averages 6.7 percent, and Anna can earn 3.4 percent on the money she invests for this purpose. The client wants to know how much she will need to set aside today to pay four years of tuition and fees.
Maria is planning to attend a four-year university. The list below shows the estimated costs for one year. Her family devised a periodic savings plan that will have a total value of $48,000 by the time Maria will begin college. Maria will participate in a work-study program that pays for her room and board each year. With the work-study and her family's contribution, for how many years of college will be paid? Round to the nearest hundredth. Four-Year University Estimated Costs Tuition and Fees. $13,200.00 Room and Board. $3,500.00 Books and Supplies $1,300.00 Personal Expenses. $1,700.00 a about 2.96 b about 2.67 c about 2.61 d about 2.44
Hayley has received an inheritance. She would like to set aside funds today that will allow her to embark on a year-long trip that will start in exactly 3 years from now. While on that trip, Hayley estimates she will need to withdraw 12 monthly payments of $4,000, with the first payment received at the start of her travels in 3 years from today. If her funds will earn 3.6% compounded monthly for the entire time, how much does Hayley need to invest today in order to finance her trip?
A couple plans to save for their child's college education. What principal must be deposited by the parents when their child is born in order to have 39,000$ When the child reaches the age of 18? Assume the money earns 7% interest, compounded quarterly.?round your answer to two decimal places.
Alex wants to provide funding in the event of his death for his daughter Ellie, age 8, to attend four years of college, starting at age 18. The current annual cost of tuition is $20,000. Assume inflation of 6.5% and after-tax earnings of 7%. If Alex wants to have enough life insurance to assure adequate funds for Ellie when she begins college (should he die today), approximately how much insurance should he have for this need alone? (Round your answer to the nearest dollar.) A)$113,764 B)$75,806 C)$75,451 D)$79,441
Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. Ryan inherited an annuity worth $3,280.16 from his uncle. The annuity will pay him five equal payments of $800 at the end of each year. The annuity fund is offering a return of . Ryan’s friend, Sebastian, wants to go to business school. While his father will share some of the expenses, Sebastian still needs to put in the rest on his own. But Sebastian has no money saved for it yet. According to his calculations, it will cost him $30,044 to complete the business program, including tuition, cost of living, and other expenses. He has decided to deposit $4,200 at the end of every year in a mutual fund, from which he expects to earn a fixed 7% rate of return. It will take approximately for Sebastian to save enough money to go to business school.
Ted and Alice Hansel have a son who will begin college 10 years from today. School expenses of $48,000 will need to be paid at the beginning of each of the four years that their son plans to attend college. What is the duration of this liability to the couple if they can borrow and lend at the market interest rate of 10.8 percent? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., 32.16161.) Answer is complete but not entirely correct. 10.09238 Duration

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