Deposits of $100 are made at the end of each calendar year from 2014 through 2019 inclusive. The resulting fund is to be used to buy a perpetuity with annual payments following the pattern X, 4X, 7X, 10X,... with the first payment on December 31, 2021. If the anmal effective rate of interest is 5%, find X. A. 0.558 B. 0.567 C. 0.576 D. 0.585 E. 0.594
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- 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 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?are ? k of &, Deposits of $100 are made at the end of each calendar year from 2014 through 2019 inclusive. The resulting fund is to be used to buy a perpetuity with annual payments following the pattern X, 4X, 7X, 10X,... with the first payment on December 31, 2021. If the anmual effective rate of interest is 5%, find X. A. 0.558 B. 0.567 C. 0.576 D. 0.585 E. 0.594
- On January 1, 2021, you deposited $5,500 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 9 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.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?You deposit $9500 per quartely for 1 years at i, = 8.31 %. This fund then provides for a perpetuity of $6100 per year, with the first payment made n month after the final deposit. At the time of the first perpetuity payment, interest rates fall to i, = 2.37 %. Find n. %3D Answer: 30.36
- For the sinking fund, use Table 12-1 to calculate the amount (in $) of the periodic payments needed to amount to the financial objective (future value of the annuity). (Round your answer to the nearest cent.) Sinking Fund Payment Payment Frequency Time Periods (years) Nominal Rate (%) Interest Compounded Future Value (Objective) $______ every year 14 8 annually $350,000Consider an amount of 25,000 in a fund today, October 25, 2022. Determine its value on the specified date and the given interest assumption. On Dec. 25, 2022 at 6 1/4% ordinary simple interest rate p.a.A lump sum S deposited into either fund X or fund Y will be exactly sufficient to provide a perpetuity of $100 per year with the first payment due at the end of one year. Fund X will earn interest at an effective annual rate of 10% for the first 30 years and 6% thereafter. Fund Y will earn interest at a level effective annual rate of j. In which of the following ranges is j? someone help?
- 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. P1,077,500Consider an amount of 25,000 in a fund today, October 25, 2022. Determine its value on the specified date and the given interest assumption. On May 12, 2022 at 4 3/5% exact simple interest rate p.a.For the sinking fund, use Table 12-1 to calculate the amount (in $) of the periodic payments needed to amount to the financial objective (future value of the annuity). (Round your answer to the nearest cent.) Sinking Fund Payment $ 27658 x Payment Frequency every year Time Period (years) 14 Interest Nominal Rate (%) Compounded annually 8 Future Value (Objective) $750,000