Qin Jiushao deposits 1, 000 into a fund on January 1, 2020 and then another deposit of unknown amount into the fund on July 1, 2020. On January 1, 2021, the balance in the fund is 2,000. Noting that the time-weighted yield rate is 10% and the dollar-weighted yield rate is 9%, calculate the annual effective interest rate earned on the fund during the first six months of 2020.
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- 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. 0.594Qin Jiushao deposits 1, 000 into a fund on January 1, 2020 and then another eposit of unknown amount into the fund on July 1, 2020. On January 1, 2021, the alance in the fund is 2,000. Noting that the time-weighted yield rate is 10% and the ollar-weighted yield rate is 9%, calculate the annual effective interest rate earned on he fund during the first six months of 2020.Consider 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.
- You deposit $600 today into a fund that you intend to leave invested for 6 years. The fund earns 6% interest compounded annually. Indicate the inputs to be entered into the financial calculator keys. What is the value of the fund to be accumulated at the end of year 6? (Round future value answer to two decimal places (e.g., 52.75) and interest rate to one decimal place (e.g., 527.5).) Inputs Calculator N Keys Future value $ 6 I 6 PV 600On 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 25,000 in a fund today, October 25, 2022. Determine its value on the specified date and the given interest assumption. A.) On december at 6 3/4% exact simple interest rate p.a. B.) On May 12,2022 at 4 2/5% ordinary simple interest rate p.a
- On January 1, 2018, you deposited $5,500 in a savings account. The account will earn 8 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 7 years? 2. What is the total interest for the 7 years? 3. How much interest revenue did the fund earn in 2018 and in 2019? Show Transcribed TextImagine you have 100,000 worth in a fund today November 15, 2022. Give enough of it on the due date and at the corresponding interest rate.a.) At an effective discount rate of 3.24% on Nov. 15, 2020.b.) At an effective discount rate of 3.24% on Feb. 15, 2024.c.) At an interest rate of 8.4% payable monthly on Sept. 15, 2021.d.) At an discount rate of 3% convertible quarterly on May 15, 2025.A debt of $1500 bearing at 12% compounded annually is to be discharged by the sinking fund method. If six annual deposits are made into a fund which pays 6% compounded monthly. a. Find the annual interest payment b. Find the size of the annual deposit into the sinking fund. c. What is the annual cost of this debt? d. Construct the sinking fund schedule. Period Interest Sinking Fund Interest Deposit earned Sinking Fund Balance Net amount loan
- Wiseman Video plans to make four annual deposits of $2,000 each to a special building fund. The fund’s assets will be invested in mortgage instruments expected to pay interest at 12% on the fund’s balance. Using the appropriate time-value of money table, determine how much will be accumulated in the fund on December 31, 2024, under each of the following situations:1. The first $2,000 deposit is made on December 31, 2021, and interest is compounded annually.2. The first $2,000 deposit is made on December 31, 2020, and interest is compounded annually.3. The first $2,000 deposit is made on December 31, 2020, and interest is compounded quarterly.4. The first $2,000 deposit is made on December 31, 2020, interest is compounded annually, and interest earned is withdrawn at the end of each year.Commencing January 1 2022 Narelle plans to deposit $500 at the beginning of each month into an investment fund. The first deposit will be made on January 1 2022. Narelle predicts that the rate of return on this fund will be j12=2.62% from 1 January 2022 to 30 June 2022 and j12=5.44% from 1 July 2022 to 31 December 2022. If we assume these deposits are made at regular intervals, what will the balance of this account be on 31 December 2022?On 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 7.15329