3. A person deposits $18,000 in a fund that pays interest at the rate of 6% continuously. He withdraws 1200 dollars each year. i) Set up a differential equation where Y(t) represents the total amount in the fund after t years. Use the integrating factor method to solve the differential equation for the amount in the fund after t years. ii) What is the maximum withdrawal her can make every year so that the account is exhausted in 8 years? (Hint: Set up a new equation and solve)

3. A person deposits $18,000 in a fund that pays interest at the rate of 6% continuously. He withdraws 1200 dollars each year. i) Set up a differential equation where Y(t) represents the total amount in the fund after t years. Use the integrating factor method to solve the differential equation for the amount in the fund after t years. ii) What is the maximum withdrawal her can make every year so that the account is exhausted in 8 years? (Hint: Set up a new equation and solve)

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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11. A man deposited P6,000 at a rate of 10% per annum. However, to add more fund, he deposits P500 per year that started one year after he deposited the P6,000. If he is withdrawing P1,500 per year for his expenses, for how long will the fund last and what will be the balance in the fund after the last withdrawal was made?
Sally Monroe wants to create a fund today that will enable her to withdraw $26.400 per year for 8 years, with the first withdrawal to take place 5 years from today. Click here to view factor tables If the fund earns 10% interest, how much must Sally invest today? (Round factor values to 5 decimal places, eg. 1.25124 and final answer to 0 decimal places, eg 458,581) Investment amount eTextbook and Media Save for Later Attempts: 0 of 5 used Submit Answer
Mark deposits $50,000 now into an account which will eam interest at a rate of 7% per year, how much money can he withdraw annually, if he makes his first withdrawal 4 years from now and he wants to make a total of 8 withdrawals? MANUAL CALCULATION AND CASH FLOW DIAGRAM THANKS
A saver plans to make 25 deposits of 100 at the end of each year. If the interest rate were 6% effective per annum, he would accumulate a fund of amount F on the date of the last payment. The saver makes the first 10 deposits of 100. However, the account only credits an effective annual interest rate of 5%. Therefore, the saver determines that he must increase each of the remaining 15 deposits to X so that he can accumulate the desired fund of F. Assuming that the fund continues to earn 5% effective annual interest, find X.
David Quincy wants to withdraw $30,800 each year for 10 years from a fund that earns 10% interest. Click here to view factor tables. How much must he invest today if the first withdrawal is at year-end? How much must he invest today if the first withdrawal takes place immediately? (Round factor values to 5 decimal places, e.g. 1.25124 and final answers to 0 decimal places, e.g. 458,581.) First withdrawal at year-end First withdrawal immediately
How much must be deposited today into the following account in order to have a $135,000 college fund in 11 years? Assume no additional deposits are made. An account with quarterly compounding and an APR of 7.32% $ should be deposited today. (Do not round until the final answer. Then round to the nearest cent as needed.) Enter your answer in the answer box. Type here to search 0 哥同
Investment 1: Investing that $120,000 in a saving account for 15 years. There are two banks for her choice. Bank A pays a rate of return of 8.5% annually, compounding semi-annually. Bank B pays a rate of return of 8.45 annually, compounding quarterly. Investment 2: Putting exactly an equal amount of money into ANZ Investment Fund at the end of each month for 15 years to get 330 000 she still shorts of now. The fund is offering a rate of return 7% per year, compounding monthly.How much is the annual interest rate, assuming compounding annually Holly should aim at if she chooses to invest her $120 000 in a saving account to get the $450,000 ready in just 10 years from now?
A financial adviser is reviewing one of her client's accounts. The client has been investing $1,000 at the end of every quarter for the past II years in a fund that has averaged 7.3% compounded quarterly. Using a cash flow diagram, how much money does the client have in his account?
I need help working this problem out. Figuring out what table to use, whether to use: compound value, present value, amount of annuity, present value of annuity, sinking fund value? Please explain in detail each step. Nina deposits $3400 into a savings account earning simple interest at 6.3% annually. She intends to leave the money in the bank for three years. How much money, including both principal and interest, can she withdraw at the end of this time?
Barbara wants to accumulate $25000 by the end of 4 years. She starts making quarterly deposits in her investment account, which pays J4=6%. A) Determine the size of quarterly payments. B) After 2 years, the rate of return changes to J4=8%. Determine the size of the quarterly deposits now required if the $25000 goal is to be met.
Suppose you want to save $1,000,000 for a retirement fund in 35 years. You anticipate making regular, end-of-month deposits in an annuity that pays 9% compounded monthly. How much should you deposit each month? Use this formula: How much of the $1,000,000 retirement fund comes from deposits and how much comes from interest?

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