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- 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?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?ony Inc. will deposit $57,400 in a 4% fund at the end of each year for 6 years beginning December 31, 2020. What amount will be in the fund immediately after the last deposit?
- Adams Inc. will deposit $30,000 in a 6% fund at the end of each year for 8 years beginning December 31, 2020. What amount will be in the fund immediately after the last deposit?The Weimer Corporation wants to accumulate a sum of money to repay certain debts due on December 31, 2030. Weimer will make annual deposits of $100,000 into a special bank account at the end of each of 10 years beginning December 31, 2021. Assuming that the bank account pays 7% interest compounded annually, what will be the fund balance after the last payment is made on December 31, 2030?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)
- 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. P1,077,500A trust fund amounting to ₱6700000 earns 7.4% annual interest. If ₱150,000 is to be withdrawn at the end of each year in the first 5 years, what is the maximum amount that can be withdrawn annually at the end of each year from the 6th year onward to make the fund last forever?Instead of investing the entire $1,062,000, Bogut invests $278,000 today and plans to make 9 equal annual investments into the fund beginning one year from today. What amount should the payments be if Bogut plans to establish the $2,122,938 foundation at the end of 9 years?
- Cincinnati Company has decided to put $30,000 at the beginning of each quarter in a pension fund. The fund will earn interest at the rate of 6% per year, compounded quarterly. Find the amount available in this fund after 10 yearsAnne 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%An company needs to make the following annuity payments into a pension fund: £1100 paid at the beginning of each year for the first 5 years and then £1200 paid at the beginning of each year for the next 9 years and then £720 paid at the beginning of each year for the following 7 years. Calculate the amount of capital accumulated in the fund by the end of the last year, given that the rate of interest during this period is: 5.5% pa effective for the first 10 years and then 6.4% pa effective thereafter. NO tables, only formulas, please
