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On January 15, 2012, Dolan Corp. adopted a plan to accumulate funds for environmental improvements beginning July 1, 2016, at an estimated cost of $5,000,000. Dolan plans to make four equal annual deposits in a fund that will earn interest at 10% compounded annually. The first deposit was made on July 1, 2012. Future value factors are as follows:
Future value of 1 at 10% for 5 periods |
1.61 |
Future value of ordinary annuity of 1 at 10% for 4 periods |
4.64 |
Future value of annuity due of 1 at 10% for 4 periods |
5.11 |
Dolan should make four annual deposits of
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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?The Bello Corporation wishes 1 po to accumulate P2,000,000 for plant expansion. The funds are required on January 1, 2011. Bello intends to make five equal annual deposits in a fund that will earn interest at 7% compounded annually. The first deposit is made on January 1, 2006. Present value and future value facts are as follows: Present value of $1 at 7% for 5 periods Present value of an ordinary annuity of 1 at 7% for 5 periods Future value of an ordinary annuity of 1 at 7% for 5 periods Future value of an annuity due of 1 at 7% for 5 periods What is the amount of the required annual deposit? .713 4.10 5.75 6.15On January 15, 2012, Dolan Corp. adopted a plan to accumulate funds for environmental improvements beginning July 1, 2016, at an estimated cost of $6,000,00Ó. Dolan plans to make four equal annual deposits in a fund that will earn interest at 10% compounded annually. The first deposit was made on July 1, 2012. Future value factors are as follows: Future value of 1 at 10% for 5 periods Future value of ordinary annuity of 1 at 10% for 4 periods Future value of annuity due of 1 at 10% for 4 periods Dolan should make four annual deposits of Group of answer choices $1,174,168 $1,077,586. $978,474. $889,522 1.61 4.64 5.11
- In 2015, Cart Inc. adopted a plan to accumulate funds for environmental remediation beginning July 1, 2020 at an estimated cost of $26 million. Cart plans to make five equal annual payments into a fund earning 6% interest compounded annually. The first deposit is scheduled for July 1, 2015. Determine the amount of the required annual deposit. Use Excel or a financial calculator for the computations. Round your answer to the nearest dollar. Required annual deposit $ 3,347,101.89 XOn January 1, 2025, Sandhill Company decided to begin accumulating a fund for asset replacement five years later. The company plans to make five annual deposits of $59000 at 7% each January 1, beginning in 2025. What will be the balance in the fund, on January 1, 2030 (one year after the last deposit)? The following 7% interest factors may be used. 4 periods 5 periods 6 periods O $339294 O $315650 O $295000 O $363044 Present Value of Ordinary Annuity. 3.3872 4.1002 4.7665 Future Value of Ordinary Annuity. 4.4399 5.75074 7.15329On 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
- The Zander Corporation wishes to accumulate $2,000,000 for plant expansion. The funds are required on December 31, 2025. Zander intends to make five equal annual deposits at the beginning of the year in a fund that will earn interest at 8% compounded annually. The first deposit was made on January 1, 2021. What is the amount of the required annual deposit? The required annual deposit is (round up to the nearest dollar):Explain the Step By Step Process. An engineer wishes to set up a special fund by making uniform semiannual and end-of-period deposits for 20 years. The fund is to provide P100,000 at the end of each of the last five years of the 20-year period. If interest is 8% compounded semiannually, what is the required semiannual deposit to be made? ANS: P6,193.39Recent sales of some real estate and record profits make it possible for a manufacturer to set aside $900,000 in a fund to be used for modernization and remodeling. How much can be withdrawn from this fund at the beginning of each half-year for the next 6 years if the fund earns 7.1%, compounded semiannually? (a) Decide whether the problem relates to an ordinary annuity or an annuity due. ordinary annuity O annuity due (b) Solve the problem. (Round your answer to the nearest cent.) $
- On March 15, year 1, ABC Corporation adopted a plan to accumulate P1,000,000 by September 1, year 5. ABC plans to make four equal annual deposits to a fund that will learn interest at 10% compounded annually. ABC made the first deposit on September 1, year 1. Future value and future amount factors are as follows: Future value of P1 at 10% for 4 periods (1.46), Future amount of ordinary annuity of P1 t 10% for four periods (4.64), Future amount of annuity in advance of P1 at 10% for four periods (5.11). What amount of four annual deposits shall be made? *Recent sales of some real estate and record profits make it possible for a manufacturer to set aside $1,000,000 in a fund to be used for modernization and remodeling. How much can be withdrawn from this fund at the beginning of each half-year for the next 5 years if the fund earns 6.7%, compounded semiannually? (a) Decide whether the problem relates to an ordinary annuity or an annuity due.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