Anne wants to accumulate $25,000 by December 31, 2019. To accumulate that sum, she will make twelve equal quarterly deposits of $1,616.66 at the end of March, June, September, and December, beginning on March 31, 2016, into a fund that earns interest compounded quarterly. What annual rate of interest must the fund provide to yield the desired sum? 4.5% 26% 6.5% 18%

Anne wants to accumulate $25,000 by December 31, 2019. To accumulate that sum, she will make twelve equal quarterly deposits of $1,616.66 at the end of March, June, September, and December, beginning on March 31, 2016, into a fund that earns interest compounded quarterly. What annual rate of interest must the fund provide to yield the desired sum? 4.5% 26% 6.5% 18%

Intermediate Accounting: Reporting And Analysis

3rd Edition

ISBN:9781337788281

Author:James M. Wahlen, Jefferson P. Jones, Donald Pagach

Publisher:James M. Wahlen, Jefferson P. Jones, Donald Pagach

ChapterM: Time Value Of Money Module

Section: Chapter Questions

Problem 10RE: If 90,000 is invested in a fund on December 31, 2019, and 5 equal annual withdrawals of 23,138.32...

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?
If 90,000 is invested in a fund on December 31, 2019, and 5 equal annual withdrawals of 23,138.32 are made starting on December 31, 2020, that will deplete the fund, what is the interest rate being earned if interest is compounded annually?
Determining Loan Repayments Jerry Rockness needs 40,000 to pay off a loan due on December 31, 2028. His plans included the making of 10 annual deposits beginning on December 31, 2019, in accumulating a fund to pay off the loan. Without making a precise calculation, Jerry made 3 annual deposits of 4,000 each on December 31, 2019, 2020, and 2021, which have been earning interest at 10% compounded annually. Required: What is the equal amount of each of the next 7 deposits for the period December 31, 2022, to December 31, 2028, to reach the fund objective, assuming that the fund will continue to earn interest at 10% compounded annually?
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
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=3.59% from 1/7/2021 to 30/9/2021 and j2=3.93% 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. Question Answer a. 3034.806 b. 3032.925 c. 3033.446 d. 3033.714
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
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
Determine the present value of P6,800 paid at the end of each subsequent calendar quarter for 7 years of money is worth 6% compounded quarterly To accumulate P85,250, Amy needs to place equal deposits at the end of every 3 months in a fund which earns at 18% compounded quarterly. If the first deposit is made in March 2016 and the last is in March 2022. How large should each deposit be? If Cecilia has been contributing P460 at the end of each quarter for the past 18 quarters to a savings plan that earned 9% compounded quarterly. What amount will she accumulate if she continues with the plan for another year?
Georgia deposits $4,000 every three months for five years. The first deposit is made on March 31, 2016, and the last deposit is made on December 31, 2020. The fund earns 16% and interest is compounded quarterly. How much money will Georgia have on December 31, 2020, immediately after her last deposit? Factors for future value of an annuity of $1 are $123,876 $110,034 $119,112 $107,508
Commencing January 1 2022 Narelle plans to deposit $500 at the beginning of each month into an investment fund. The first deposit will be made on January 1 2022. Narelle predicts that the rate of return on this fund will be j12=2.62% from 1 January 2022 to 30 June 2022 and j12=5.44% from 1 July 2022 to 31 December 2022. If we assume these deposits are made at regular intervals, what will the balance of this account be on 31 December 2022?
On January 1, 2021, you deposited $6,100 in a savings account. The account will earn 10 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 4 years? (Future Value of $1,Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) Note: Use appropriate factor(s) from the tables provided. 2. What is the total interest for the 4 years? (Future Value of $1,Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) Note: Use appropriate factor(s) from the tables provided. 3. How much interest revenue did the fund earn in 2021 and in 2022?
June Stickney purchased an annuity on January 1, 2019, which, at a 12% annual rate, would yield $6,000 each June 30 and December 31 for the next 6 years. What was the cost of the annuity to Stickney? Round your answer to two decimal places. $ fill in the blank 4 Five equal annual contributions are to be made to a fund, with the first deposit on December 31, 2019. Determine the equal contributions that, if invested at 10% compounded annually, will produce a fund of $30,000 on December 31, 2024. Round your answer to two decimal places. $ fill in the blank 5 Beginning on December 31, 2020, 6 equal annual withdrawals are to be made. Determine the equal annual withdrawals if $11,000 is invested at 10% interest compounded annually on December 31, 2019. Round your answer to two decimal places. $ fill in the blank 6