Deposits of $100 are made at the end of each calendar year from 2014 through 2019inclusive. The resulting fund is to be used to buy a perpetuity with annual payments following thepattern X, 4X, 7X, 10X,... with the first payment on December 31, 2021.If the anmal effective rate of interest is 5%, find X.A. 0.558B. 0.567C. 0.576D. 0.585E. 0.594

Perpetuity is a series of payment which is made for an indefinite period of time. It does not end in…

Answered: Deposits of $100 are made at the end of…

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 24P

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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?
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
Value of an Annuity Using the appropriate tables, solve each of the following. Required: 1. Beginning December 31, 2020, 5 equal withdrawals are to be made. Determine the equal annual withdrawals if 30,000 is invested at 10% interest compounded annually on December 31, 2019. 2. Ten payments of 3,000 are due at annual intervals beginning June 30, 2020. What amount will be accepted in cancellation of this series of payments on June 30, 2019, assuming a discount rate of 14% compounded annually? 3. Ten payments of 2,000 are due at annual intervals beginning December 31, 2019. What amount will be accepted in cancellation of this series of payments on January 1, 2019, assuming a discount rate of 12% compounded annually?
Amount of an Annuity Beginning December 31, 2023, 5 equal annual withdrawals are to be made. Required: Using the appropriate tables, determine the equal annual withdrawals if 25,000 is invested at an interest of 12% compounded annually on: 1. January 1, 2023 2. December 31, 2023 3. January 1, 2020
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?
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.
On January 1, 2018, King Inc. borrowed $150,000 and signed a 5-year, note payable with a 10% interest rate. Each annual payment is in the amount of $39,569 and payment is due each Dec. 31. What is the journal entry on Jan. 1 to record the cash received and on Dec. 31 to record the annual payment? (You will need to prepare the first row in the amortization table to determine the amounts.)
On April 12, 2019, BOBOT Company adopted a plan to accumulate P5,000,000 by July 1, 2023. BOBOT plans to make four equal annual deposits to a fund that will earn interest at 10% compounded annually. BOBOT made the first deposit on July 1, 2019. Future value factors are as follows: Future value of 1 at 10% for 4 periods 1.46 Future amount of ordinary annuity of 1 at 10% for 4 periods 4.64 Future amount of annuity in advance of 1 at 10% for 4 periods 5.11 How much annual deposit should BOBOT Company make for four years in order to accumulate the desired amount on July 1, 2023 (rounded)? a. P730,000 b. P978,500 c. P1,250,000 d. P1,077,500
A company needs to set aside a fund to meet the following future annuity payments to an individual: £1443 paid at the end of each year for the first 4 years followed by £1441 paid at the end of each year up until year 15 (inclusive). Assuming an effective rate of interest of 6.9% pa throughout the entire period, how much total fund the company needs to hold today in order to meet these payments? Express your answer in £s to 2 decimal places. (correct answer = 13214.59)
An insurer needs to make the following annuity payments to an individual: £445 paid at the end of each month during the first 15 years and then £448 paid at the end of each 4 months for the following 8 years. Assuming an effective monthly interest rate of 1.3% throughout the entire period, how much total fund the insurer needs to hold today in order to meet these payments? ( correct answer =31470.44, using formulas no tables)
In order to meet a future liability in exactly 17 years time, a company plans to invest in a fund the following annuity payments: £3974 paid at the end of each quarter during the first 6 years followed by £5179 paid at the end of each 6 months until the end of year 17 (inclusive). Assuming an effective rate of interest of 2.9% per quarter-year throughout the entire 17-year period, calculate, to 2 decimal places, the total amount of fund the company will hold at the end of this investment period. (correct answer: 696906.98) (need working out)
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%.

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