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2. You have a 4-year-old daughter and want to have $120,000 in her college fund when she starts college. You expect to earn a 7% return on her college-fund investments. If you want to make 14 equal-sized end-of-year deposits into your daughter’s college fund, how much do you need to deposit each year to have $120,000 when she starts college?
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- 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?4. Holly wants to have $200,000 to send a recently born child to college. She sets up a 529 plan and wants to know how much she must invest at the end of each year for the next 18 years if the funds can earn 5 percent. If she can earn 7 percent, how much less will she have to invest eachYou would like to have $200,000 in a college fund in 15 years. How much do you need today if you expect to earn 12% while you are investing to pay for your child’s college
- You want to set up a college savings plan for your daughter. She is currently 10 years old and will go to college at age 18. You assume that when she starts college, she will need at least $100,000 in the bank. How much do you need to save each year in order to have the necessary funds if the current rate of interest is 7%? Assume that end-of-year deposits are made.. Holly wants to have $200,000 to send a recently born child to college. She sets up a 529 plan and wants to know how much she must invest at the end of each year for the next 18 years if the funds can earn 5 percent. If she can earn 7 percent, how much less will she have to invest each year?Your daughter is 8 years old today. You are worried about paying for her college tuition, which you estimate will be $20,000 per year (after scholarships). You decide to start a college savings fund by depositing an equal amount in the bank at the end of each of the next 10 years. At the end of years 11, 12, 13 and 14, you want to withdraw $20,000 in order to pay for the tuition. An interest rate of 8% APR compounded annually is assumed. How much do you have to deposit at the end of each of the next 10 years in order to pay for the tuition costs?
- Holly wants to have $200,000 to send a recently born child to college. She sets up a 529 plan and wants to know how much she must invest at the end of each year for the next 18 years if the funds can earn 5 percent.A man wants to help provide a college education for his young daughter. He can afford to invest $1500/yr for the next 5 years, beginning on the girl’s 5th birthday. He wishes to give his daughter $10,000 on her 18th, 19th, 20th, and 21st birthdays, for a total of $40,000. Assuming 6% interest, what uniform annual investment will he have to make on the girl’s 9th through 17th birthdays?Keith Stone has a 10-year-old daughter, Kate, who will be entering college in 8 years. Keith estimates college costs to be $16,000, $17,000, $18,000, and $19,000 payable at the beginning of each of Kate's four years in college. How much must Keith save each year (assume end-of-year payments) for each of the next 8 years to have enough savings to pay for Kate's education? Assume Keith can earn 9% on his savings.
- A father wants to help provide a college education for his young son. He can afford to invest $600/yr. for the next 4 years, beginning on the boy’s fourth birthday. He wishes to give him $4000 on her 18th, 19th, 20th, and 21st birthdays, for a total of $16,000. Assuming 5% interest, what uniform annual investment will he have to make on the son’s 8th through 17th birthdays?If your daughter is 5 and she plans to go to college or university in Canada when she is 18 years old. You estimate that the four years of college education will cost $15,000 per year. What will you need to deposit into an education fund each year from age 5 until the age of 18 if the interest rate is 6%. As a part of your answer show the interest rate for your calculation.
