Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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- You are saving for the university education of your two children. They are two years apart in age; one will begin university 15 years from today and the other will begin 17 years from today. You estimate your children's university expenses to be $45,000 per year per child, payable at the beginning of each school year. The annual interest rate is 7.5 percent. Your deposits begin one year from today. You will make your last deposit when your older child enters university. Assume four years of university. How much money must you deposit in an account each year to fund your children's education? (Do not round intermediate calculations. Round the final answer to 2 decimal places. Omit $ sign in your response.) Annual savings $arrow_forwardYour daughter wants to the University of Cincinnati. She is already planning to start in 10 years (which is when her first tuition payment is due). Her tuition will be $19,886 per year for four years. The relevant discount rate is 8.01 percent per year. You plan to save for her education by setting aside the same amount of money per year for 9 years. What is the amount you need to save per year if you start saving at the end of this year? O $32,914.10 O $5,271.07 $3,657.12 $30,473.20 O $7,316.70arrow_forwardYour 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?arrow_forward
- The parents of a newborn decide to make deposits into an educational savingsaccount on each of their daughter's birthdays, starting with her first birthday.Assume that the educational savings account will return a constant 5.5% per year.The parents plan to deposit $2 200 on every of their daughter's future birthdays.How much money could they alternatively deposit on their daughter's birth date(today) to have the same amount available on her 18th birthday?arrow_forwardA) When Liam Corbett was born, his grandparents opened a 529 college savings plan for him so that he had enough money to pay for college once he turned 18. His college education is expected to cost $225,000 on the day he turns 18 years old. Determine if there will be enough in the account given the following assumptions (Show your calculations): Assumption #1: The grandparents contribute $6,200 per year starting the day Liam is born and the account earns an average annual rate of return of 7%. Assumption # 2: The grandparents contribute $5,000 per year starting the day Liam is born and the account earns an average annual rate of return of 7%. Assumption # 3: The grandparents contribute $5,000 per year starting the day Liam is born and the account earns an average annual rate of return of 9%. Assumption #4: The grandparents contribute $8,500 per year starting the day Liam is born and the account earns an average annual rate of return of 4%. Assumption # 5: The grandparents contribute…arrow_forwardIn 9 years, David's child will go to university. David already has $5,800 set aside in the savings account but plans to contribute an additional $900 at the end of each year to this account for his children's education. He anticipates earning an annual return rate of 5% on his savings throughout that time (compounded annually). When his kid is ready to register for university, how much money will David have in this account? (Round time value factors to 3 decimal places and final answer to 2 decimal places. Omit the "$" sign in your response.)arrow_forward
- 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 $42,000 when the child reaches the age of 18? Assume the money earns 5% interest, compounded monthly. (Round your answer to two decimal places.)arrow_forwardYou currently have $12,000 saved up in your bank account. You believe that 2 years from now, some of your generous relatives will give you a combined gift of $5,000 as a college graduation present. If you can earn 4.5% annual compound interest on your savings, how many years will it take you, from today, to be able to afford the car you'd like to purchase, which costs $25,000?arrow_forwardSuppose that your parents are willing to lend you $20,000 for part of the cost of your college education and living expenses. They want you to repay them the $20,000, without any interest, in a lump sum 15 years after you graduate, when they plan to retire and move. Meanwhile, you will be busy repaying federally guaranteed loans for the first 10 years after graduation. But you realize that you won’t be able to repay the lump sum without saving up. So you decide that you will put aside money in an interest-bearing account every month for the five years before the payment is due. You feel comfortable with putting aside $275 a month (the amount of the payment on your college loans, which will be paid off after 10 years). How high an annual nominal interest rate on savings do you need to accumulate the $20,000 in 60 months, if interest is compounded monthly? Enter into a spreadsheet the values d 5 275, r 5 0.05 (annual rate), and n 5 60, and the savings formula with r replaced by r/12 (the…arrow_forward
- 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$80,000 when the child reaches the age of 18? Assume the money earns 8% interest, compounded quarterly.arrow_forwardJan wants to plan for her daughter's education. Her daughter, Rachel was born today and will go to college at age 18 for five years. Tuition is currently $15,000 per year, in today's dollars. Jan anticipates tuition inflation of 6% and believes she can earn an 11% return on her investment. How much must Jan save at the end of each year, if she wants to make her last payment at the beginning of her daughter's first year of college? $4,680.37 $7,334.72 $3,882.03 $2,547.54arrow_forwardYour son Tommy was just born today (Year O), and you are planning for his college education. You would like to make equal deposits every 26 weeks (assume a 52-week year) into a college savings account starting in Year 1 and ending in Year 21 (a total of 41 deposits), so that Tommy can make annual withdrawals in Year 18, 19, 20, and 21 for tuition. Tuition is currently (Year 0) $2,900/year, and it is expected to grow at 4% / year for each of the next 10 years, and then at 5%/year for all years after. You can earn a nominal annual rate of 8.45%, with interest compounded weekly (52-week year) in a college savings account. How much must each of the 41 deposits be to exactly fund the expected tuition expense? O $277.87 O $264.49 O $258.02 O $248.10 O $287.80arrow_forward
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