Mia will retire 10 years from now and wants to establish a fund today that will pay $48,000 cash at the end of each of the first five years after retirement. Specific dates are these: date of a single deposit by Mia, January 1, year 1; date of first cash payment from the fund to Mia, December 31, year 11. The fund will pay 10% compound interest. How much cash must Mia deposit on January 1, year 1, to provide the five equal annual year-end cash payments from the fund? $Answer

Mia will retire 10 years from now and wants to establish a fund today that will pay $48,000 cash at the end of each of the first five years after retirement. Specific dates are these: date of a single deposit by Mia, January 1, year 1; date of first cash payment from the fund to Mia, December 31, year 11. The fund will pay 10% compound interest. How much cash must Mia deposit on January 1, year 1, to provide the five equal annual year-end cash payments from the fund? $Answer

CONCEPTS IN FED.TAX.,2020-W/ACCESS

20th Edition

ISBN:9780357110362

Author:Murphy

Publisher:Murphy

Chapter3: Income Sources

Section: Chapter Questions

Problem 41P

See similar textbooks

Similar questions

Mia will retire 10 years from now and wants to establish a fund today that will pay $30,000 cash at the end of each of the first five years after retirement. Specific dates are these: date of a single deposit by Mia, January 1, year 1; date of first cash payment from the fund to Mia, December 31, year 11. The fund will pay 10% compound interest. How much cash must Mia deposit on January 1, year 1, to provide the five equal annual year-end cash payments from the fund?
You wish to build an independent fund for your retirement planned for your 65th birthday. On your 30th birthday, you will make the first monthly contribution of $200 into the fund that will earn 6%/year compounded annually. You will make your last payment into the fund on your 65th birthday. At age 65, when you retire, you have decided to opt for 30 years of equal bi-weekly payments (one payment every two weeks) from the fund with the first payment starting two weeks after your 65th birthday. How large will each payment be, assuming the fund will still be earning 6%/year compounded annually?
By the condition of a will, the sum of $ 2,000 is left to a girl to be held in trust fund by her guardian until it amounts to $ 5,000, when will the girl received the money if the fund is invested at 8% compounded quarterly? engineering econ
Carl is the beneficiary of a $ 20,000 trust fund set up for him by his grandparents. Under the terms of the trust, he is to receive the money over a 5-year period in equal installments at the end of each year. If the fund earns interest at the rate of 5%/year compounded annually, what amount will he receive each year? (Round your answer to the nearest cent.) $
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
Mike wants to donate $5,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 4.47% p.a. compounded half-yearly (2=4.47% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (b) Assume that two years after the donation, Mike needs to withdraw $1,000,000 from the fund and use the remaining amount to provide an annual scholarship in perpetuity. The time of the first scholarship will be unchanged (3.5 years after the date of the donation). What is the new annual scholarship amount (rounded to two decimal places)? a. 101959.37 O b. 206197.54 O c. 203631.53 O d. 207511.86
A wealthy donor wants to establish a scholarship that pays an award of $1,000 in perpetuity at the end of each year. The first award will be in three years. How much money must she set aside today in order to fund the bursary? Assume that the money will earn a nominal interest rate of 4% compounded annually.
Emma wants to donate $1,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of j4=5% p.a. effective and the first scholarship will be first awarded 2.5 years after the date of the donation. (b) Assume that the fund's earnings rate rate has changed from j4=5% to j4=4.75% one year before the first scholarship payment. How much does Emma need to add to the fund at that time (one year before the first scholarship payment) to ensure that scholarship amount will be unchanged (rounded to two decimal places)?
Mr. Larsen's will directed that $209.000 be invested to establish a perpetuity making payments at the end of each month to his wife for as long as she lives and subsequently to the Canadian Heart Foundation. What will the payments be if the funds can be invested to eam 6.0% compounded monthly? Monthly payments will be
Adams Hitchcock is 37 years old today and he wishes to accumulate $531,000 by his 62 nd birthday so he can retire to his summer place on Lake Hopatcong. He wishes to accumulate this amount by making equal deposits on his 37 th through his 61 th birthdays. What annual deposit must Adams make if the fund will earn 8% interest compounded annually? (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to O decimal places, eg. 458,581.) $ Annual deposit %24
Mike wants to donate $5,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 3.43% p.a. compounded half-yearly (j2=3.43% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (b) Assume that two years after the donation, Mike needs to withdraw $1,000,000 from the fund and use the remaining amount to provide an annual scholarship in perpetuity. The time of the first scholarship will be unchanged (3.5 years after the date of the donation). What is the new annual scholarship amount (rounded to two decimal places)?
Provide manual solutions for below mentioned problems. A social worker deposits a uniform amount of P12,000 at the end of each year in order to get a lump sum of money by the time she will retire at the end of 20 years. If the compound amount factor for this annuity is equal to 36.78559. 1. Compute the nominal interest rate.2. Determine how much will she receive at the end of 20 years.3. Determine the worth of the sinking fund factor in this fund invested. Answer. 1. 6% 2. P441,427.08 3. 0.027184557