Jennifer establishes an investment account to pay for college expenses for her daughter. She plans to invest X at the beginning of each month for the next 20 years. Beginning at the end of the 17th year, she will withdraw 55,000 annually. The final withdrawal at the end of the 20th year will exhaust the account. She anticipates earning an annual effective yield of 11% on the investment.

Jennifer establishes an investment account to pay for college expenses for her daughter. She plans to invest X at the beginning of each month for the next 20 years. Beginning at the end of the 17th year, she will withdraw 55,000 annually. The final withdrawal at the end of the 20th year will exhaust the account. She anticipates earning an annual effective yield of 11% on the investment.

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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Similar questions

Harry Taylor plans to pay an ordinary annuity of $4,900 annually for ten years so he can take a year's sabbatical to study for a master's degree in business. The annual rate of interest is 3.5%. How much will Harry have at the end of three years? How much interest will he earn on the investment after three years?
marian plunket owners her own business and is considering an investment. If she undertakes the investment, it will pay $32,000 at the end of each of the next 3 years. The opportunity requires an initial investment of $8,000 plus an additional investment at the end of the second year of $40,000. What is the NPV of this opportunity if the interest rate is 8% per year? Should marian take it?
Revere College predicts that in 18 years it will take $200,000 to attend the college for four years. Debbie wishes to save money for her child's college fund. How much should Debbie put aside in an account with an APR of 9% compounded monthly in order to have $200,000 in 18 years?
The Calvarusos have decided to invest in a college fund for their young son. They invested $40,000 in a deferred annuity that will pay their son at the beginning of every month for 4 years, while he goes to college. If the account earns 2.50% compounded monthly and the annuity payments are deferred for 15 years, what will be the size of the monthly payments?
Uma plans on investing $215 monthly into a vehicle that will earn 9.75% for 12 years. At the end of the twelve years, Uma will stop making payments and the fund will move to a more modest 7.17% return vehicle. If Uma is invested for a total of 40 years, what will she have at the end of the 40-year investment? Assume monthly compounding for the entire investment.
Donna enters into an investment contract that will guarantee her 4% per year if she deposits $3,500 each year for the next 10 years. She must make the first deposit one year from today, the day she signs the agreement. How much will she have when she makes her last payment 10 years from now? Assume the same facts as in problem 1 above, except that Donna negotiates the chance to make her first payment now and continue to pay at the beginning of each year for the 10-year period. How much will she have accumulated?
Jan 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 $2,547.54
Melissa is starting a savings for the initial capital to start a jewelry company right after graduation for 3 years. Her job base salary after graduating is expected to be $85,000 paid through equal payments at the end of every month throughout the year. She assumes a 7% increase in annual salary each year. Melissa expects to pay $1,800 monthly rent for her apartment and an extra $1,500 per month to cover other living expenses and she plans to save the rest. As her salary grows, she is plans to move to a nicer place and lifestyle. The expected rent increase is 5% every year and the expected increase in other expenses is 10%. She plans to keep this constant pattern of expenses and income. Assume a 5% nominal interest rate per year compounded monthly.1. Draw the Cash Flow Diagram2. How much money will she have at the end of year 3?3. If Melissa knows that she needs only $100,000 to start her company, how many months it takes until he saves up this amount with the current saving…
Heather is planning to retire in 7 years. She will then need an income of $1444 at the beginning of every month for the subsequent 25 years. She is going to make one investment today to provide all of the money she will eventually collect. Her investments will earn 7.33% compounded monthly. How much should she invest today?
A woman is planning for retirement in 30 years and decides she can deposit $6,000 each year on December 31 into a retirement savings plan that she expects will pay 6% interest. In 20 years she also expects to receive a small inheritance of $12,000 that she can also put into her retirement fund. The woman anticipates that her retirement fund will need to last 20 years; she estimates that she will need $60,000 at the end of each year in retirement to cover her living expenses. Her plan is flawed. How much extra does she need to save every year (rounded to dollars and cents) to achieve her goals? (Do not round interim calculations)
Debbie invests $5,500 in her IRA account each year for 40 years. If she earns 7% return annually on her IRA account, what will her investment grow to in 40 years?
Marian Plunket owns her own business and is considering an investment. If she undertakes the investment, it will pay $5,440 at the end of each of the next 3 years. The opportunity requires an initial investment of $1,360 plus an additional investment at the end of the second year of $6,800. What is the NPV of this opportunity if the interest rate is 1.6% per year? Should Marian take it?

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