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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On January 1, 2018, you deposited $5,500 in a savings account. The account will earn 8 percent annual compound interest, which will be added to the fund balance at the end of each year. Required: 1. What will be the balance in the savings account at the end of 7 years? 2. What is the total interest for the 7 years? 3. How much interest revenue did the fund earn in 2018 and in 2019? Show Transcribed Text
An electrical engincer wants to deposit an amount P now such that she can withdraw an equal annual amount of A, = $2000 per year for the first 5 years, starting 1 year after the deposit, and a different annual withdrawal of A, = $3000 per year for the following 3 years. How would the cash flow diagram appear if i = 8.5% per year?
manual computation with cash flow diagram
can someone help me in finance calculator terms? The BGN ? is asking to pick bgn or end
You deposit $1,000 in a fund at the end of each year for a 10- year period. The fund pays 5% compounded annually. How much money is available to withdraw immediately after your last deposit?
An investor is setting up a fund which requires 18 years of contributions. The investor pays £100 per month for 15 years. After 15 years, the payments increase by £20 for the subsequent 3 years. All payments are made in arrears, i.e at the end of the period. The effective annual rate i = 6%. What is the value of the fund after 18 years? £ Number Enter an answer correct to 2 decimal places.
An investor is setting up a fund which requires 10 years of contributions. The investor pays £250 per month for 10 years. All payments are made in arrears, i.e at the end of the period. The effective annual rate i = 1%. What is the value of the fund after 10 years? £ Enter an answer correct to 2 decimal places.
Today is 1/7/2021, John plans to deposit $500 at the beginning of each month into an investment fund. The first deposit will be deposited today. John predicts that the return rate of this fund will be j2=2.23% from 1/7/2021 to 30/9/2021 and j2=4.3% from 1/10/2021 to 31/12/2021. What will be balance amount of this account on 31/12/2021? Round your answer to three decimal places. a. 3032.601 b. 3033.695 c. 3032.335 d. 3031.814
Suppose you make equal quarterly deposits of $2,500 into a fund that pays interest at a rate of 5% compounded monthly. Find the balance at the end of year 3. Hint: You will need an effective interest rate in your calculations. As a proportion, round this value to 4 places after the decimal when you use this in subsequent calculations. Note: Note: When entering your answer, do not use any dollar symbols or any other units. Enter only the value rounded to the nearest integer (nearest dollar). Also, for longer values, do not use any commas.
An investor is setting up a fund which requires 18 years of contributions. The investor pays £200 per month for 15 years. After 15 years, the payments increase by £10 for the subsequent 3 years. All payments are made in arrears, i.e at the end of the period. The effective annual rate i = 2%. What is the value of the fund after 18 years? £ 数字 Enter an answer correct to 2 decimal places.
Suppose that you have an opportunity to invest in a fund that pays 12% interest compoundedannually. Today, you invest P10,000 into this fund. Three years later, you borrow P5,000 from alocal bank at 10% effective annual interest and invest it in the fund. Two years later, you withdrawenough money from the fund to repay the bank loan and all interest due on it. Three years laterfrom this withdrawal you start taking P2,000 per year for 5 years out of the fund. After 5 years, youhave withdrawn your original P10,000. The amount remaining in the fund is earned interest. Howmuch remains?
2. math of interest. please solve correctly

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