Jimmy deposits $ 3,600 now, $ 2,500 3 years from now, and $ 5,800 6 years from now. Interest is 6% for the first 3 years and 7 % for the last 3 years. (Round your answers to the nearest whole dollar. The tolerance is +/- 4.00) a. How much money will be in the fund at the end of 6 years? $ b. What is the present worth of the fund? $ c. What is the uniform series equivalent of the fund (uniform cash flow at end of years 1-6)?

Jimmy deposits $ 3,600 now, $ 2,500 3 years from now, and $ 5,800 6 years from now. Interest is 6% for the first 3 years and 7 % for the last 3 years. (Round your answers to the nearest whole dollar. The tolerance is +/- 4.00) a. How much money will be in the fund at the end of 6 years? $ b. What is the present worth of the fund? $ c. What is the uniform series equivalent of the fund (uniform cash flow at end of years 1-6)?

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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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)
2. An investor is setting up a fund which requires 20 years of contributions. The investor pays £100 per month for 20 years. All payments are made in arrears, i.e at the end of the period. The effective annual rate i = 7%. What is the value of the fund after 20 years? £ 数字 Enter an answer correct to 2 decimal places.
please answer (D) Suppose that a woman deposits $10,000 into an investment fund that guarantees to pay 0.5% interest everymonth. That is, interest is compounded monthly at a rate of 0.5% per month. a) What is the nominal annual interest rate? b) What is the effective annual interest rate? c) Assuming that no additional deposits or withdrawals are made, use the appropriate compound interestfactors to determine how much the fund will be worth:i) After 1 year;ii) After 2 years. d) Verify that your answers in parts (b) and (c) are correct by constructing a table or spreadsheet thatshows how the initial deposit will grow over 2 years. At a minimum, your table or spreadsheet shouldinclude a row for each interest period over a 2-year planning horizon and show: the value of in the investment fund at the start of each interest period the amount of interest earned each interest period; and the value of the fund at the end of each interest period.Be sure to briefly explain how your table or…
Suppose that a woman deposits $10,000 into an investment fund that guarantees to pay 0.5% interest everymonth. That is, interest is compounded monthly at a rate of 0.5% per month. a) What is the nominal annual interest rate? b) What is the effective annual interest rate? c) Assuming that no additional deposits or withdrawals are made, use the appropriate compound interestfactors to determine how much the fund will be worth:i) After 1 year;ii) After 2 years. d) Verify that your answers in parts (b) and (c) are correct by constructing a table or spreadsheet thatshows how the initial deposit will grow over 2 years. At a minimum, your table or spreadsheet shouldinclude a row for each interest period over a 2-year planning horizon and show: the value of in the investment fund at the start of each interest period the amount of interest earned each interest period; and the value of the fund at the end of each interest period.Be sure to briefly explain how your table or spreadsheet verifies…
You decide to contribute to a mutual fund that averages 3.6% return per year. If you contribute $600 quarterly. Round all answers to the nearest cent as needed. a) How much will be in the account after 20 years? $ b) How much of this money did you deposit? $ c) How much of this money is interest earned? $ Submit Question Question 3
You deposit 20,000 today into a fund paying ?(1)=8%. From this fund, you receive 10 payments of R, with the payments made at the end of 2 years, 4 years, 6 years, …, 20 years. What is R?
d) A person invests $50,000 in an investment that earns 6 percent. If $6,000 is withdrawn each year, how many years will it take for the fund to run out of money?
4. Suppose you make an annual contribution of BD300 each year to a college education fund for a niece. She is 4 years old now, and you will start next year and make the last deposit when she is 18. The fund is a money market account earning 6.5%/year. What will it be worth immediately after the last deposit? You may also set up spreadsheet solution AGE Beginning Balance Ending Balance Deposit Interest
An endowment fund is set up today. It provides payments of $1500 a year for 6- years (first payment one year from now) followed by $2000 a year thereafter forever. If the interest rate is j1 = 6%, how much is needed to be deposited (invested) today? (Answer to nearest dollar
AN INSTRUCTOR PLANS TO RETIRE IN ONE YEAR AND WANTS AN ACCOUNT THAT WILL PAY HIM P25,000.00 A YEAR FOR THE NEXT 15 YEARS. ASSUMING 6% ANNUAL EFFECTIVE INTEREST RATE, WHAT IS THE AMOUNT HE WOULD NEED TO DEPOSIT NOW? (THE FUND WILL BE DEPLETED AFTER 15 YEARS) a.P248,500.00 b.P250,400.00 c.P249,000.00 d.P242,806.00
An investor wants to accumulate $50,000 in a fund at the end of 20 years. If the investor deposit$1,000 in the fund at the end of each of the first 10 years and $1, 000 + X at the end of each ofthe second 10 years, find the value of X if the fund earns 7% effective. Do the following steps toanswer this problem: a. $1,000 are deposited in the fund at the end of each of the first 10 years. This means thatthis is an example of annuity-immediate. Compute for the accumulated value of the fund inthe first 10 years. Call this T.b. The value of the fund in the first 10 years is T . Solve for the future value of T at the end ofthe next 10 years. Use the formula Future value = P (1 + i) t. Call this answer FV . (2points)c. The target amount of the investor is $50,000. The investment made in the first 10 yearsalone will grow to the value FV at the end of 20 years. So, in the second 10 years, theaccumulated value of the investment must be $50, 000 − FV . What is this value? Call thisU .
Q3. Mr. X promises Mr. Y to give Rs. 2,00,000/- in cash after 9 years. He has the following two options (a) If Mr. X makes annual payments into a fund after 1 year how much will each have to be if the fund pays 8 %. (b) If Mr. X decides to invest a cumulative amount in the account after 1 year and let it compound annually, then how much will the lump sum? What should Mr. X do? 1

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