Andrew deposit $2 into a fund at time 0. Money in this fund accumulates at an effective annual interest rate of i during the first 5 years, and at an effective annual interest rate of 2i thereafter. This deposit accumulates to 6.18 at the end of 10 years and to 27.47 at the end of 20 years. What is the value of the deposit at the end of 7 years?

Andrew deposit $2 into a fund at time 0. Money in this fund accumulates at an effective annual interest rate of i during the first 5 years, and at an effective annual interest rate of 2i thereafter. This deposit accumulates to 6.18 at the end of 10 years and to 27.47 at the end of 20 years. What is the value of the deposit at the end of 7 years?

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Amount of an Annuity John Goodheart wishes to provide for 6 annual withdrawals of 3,000 each beginning January 1, 2029. He wishes to make 10 annual deposits beginning January 1, 2019, with the last deposit to be made on January 1, 2028. Required: If the fund earns interest compounded annually at 10%, how much is each of the 10 deposits?
Refer to the present value table information on the previous page. What amount should Brett have in his bank account today, before withdrawal, if he needs 2,000 each year for 4 years, with the first withdrawal to be made today and each subsequent withdrawal at 1-year intervals? (Brett is to have exactly a zero balance in his bank account after the fourth withdrawal.) a. 2,000 + (2,000 0.926) + (2,000 0. 857) + (2,000 0.794) b. 2,0000.7354 c. (2,000 0.926) + (2,000 0.857) + (2,000 0.794) + (2,000 0.735) d. 2,0000.9264
Present Value of an Annuity Ralph Benke wants to make 8 equal semiannual withdrawals of 8,000 from a fund that will earn interest at 11 % compounded semiannually. Required: How much would Ralph have to invest on: 1. January 1, 2019, if the first withdrawal is made on July 1, 2019 2. July 1, 2019, if the first withdrawal is made on July 1, 2019 3. January 1, 2019, if the first withdrawal is made on January 1, 2022
Future Value Hugh Colson deposited 20,000 in a special savings account that provides for interest at the annual rate of 12% compounded semiannually if the deposit is maintained for 4 years. Required: Calculate the balance of the savings account at the end of the 4-year period.
Next Level Potter wishes to deposit a sum that at 12% interest, compounded semiannually, will permit 2 withdrawals: 40,000 at the end of 4 years and 50,000 at the end of 10 years. Analyze the problem to determine the required deposit, stating the procedure to follow and the tables to use in developing the solution.
A Series EE U.S. government savings bond accrues 3.5% interest each year. The bond matures in three years, at which time the principal and interest will be paid. The bank will pay the taxpayer at a 3.5% interest rate each year if he agrees to leave money on deposit for three years. What tax advantage does the Series EE bond offer that is not available with the bank deposit?
a) An individual wishes to accumulate $1,700,000 in 20 years. If he wants to deposit a certain amount of fund annually in the first 10 years and do nothing in the following 10 years, what size deposit is required to meet the stated objective? Assume the annual compound interest rate is 4%. b) Solve the following, using interest rate at 7% compounded annually: i) What is the amount that will be accumulated in a sinking fund at the end of the 15th year if $200 is deposited in the fund at the beginning of each of the 15 years? ii) What uniform annual payment for 30 years is equivalent to spending $10,000 immediately, $11,000 at the end of 10 years, $12,000 at the end of 20 years, and $2,000 a year for 30 years?
a. What is the amount of the payments that Ned Winslow must make at the end of each of 8 years to accumulate a fund of $90,000 by the end of the 8th year, if the fund earns 8% interest, compounded annually? b. What is the amount of the payments that Ned Winslow must make at the end of each of 8 years to accumulate a fund of $90,000 by the end of the eighth year, if the fund earns 8% interest, compounded annually? c. Diane Ross has $20,000 to invest today at 9% to pay a debt of $47,347. How many years will it take her to accumulate enough to liquidate the debt? d. Cindy Houston has a $27,600 debt that she wishes to repay 4 years from today; she has $19,553 that she intends to invest for the 4 years. What rate of interest will she need to earn annually in order to accumulate enough to pay the debt?
Mr. Canlapan deposited his money from selling his old vehicle. The fund would allow him to withdraw ₱45,000 semi-annually starting at the end of 1 year and last at the end of 5 years. How much is the amount deposited if the interest rate is 2% converted semi-annually? a. ₱320,987.67 b. ₱337,540.93 c. ₱340,916.34 d. ₱417,810.71
Maria deposits $2,000 in a savings account that pays interest at an annual compound rate of 3%. Two years after the deposit, the interest rate increases to 4% compounded annually. A second deposit of $3,000 is made immediately after the interest rate changes to 4%. How much will be in the fund 7 years after the second deposit?