ranklin's investment fund had a balance of $270,000 on January 1, 1995 and a balance of $449,000 two years later. The amount of interest earned during the two years was $34,000, and the annu ield rate on the fund was 5.4%. Estimate the (dollar-weighted) average date of contributions to the account. (Round your answer to the nearest integer.) The average date of payment is days after January 1, 1995.
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- Suppose that you initially invested 10,000 in the Stivers mutual fund and 5,000 in the Trippi mutual fund. The value of each investment at the end of each subsequent year is provided in the table: Which of the two mutual funds performed better over this time period?On January 1, 2005, a person’s savings account was worth $200,000. Every month thereafter, this person makes a cash contribution of $676 to the account. If the fund is expected to be worth $400,000 on January 1, 2010, what annual rate of interest is being earned on this fund?After contributing $3,415 at the end of every 6 months into an RRSP for the past 30 years, Nasir has accumulated $703,816.63. Determine the daily compounded nominal rate that was associated with the account. (a) 6.95% (b) 7.13% (c) 1.33% (d) 1.12% 2. The effective rate that is equivalent to a nominal rate of 3.25% compounded weekly is: (a) 3.30% (b) 2.31% (c) 1.02% (d) 4.24% 3. Which statement is FALSE? A sinking fund: (a) can be either an annuity due or an ordinary annuity. (b) can be set up to clear a debt. (c) always involves a maturity value. (d) shows in detail how a loan is repaid.
- Red Company invested $10,000 in a fund that was earning interest at a rate of 3.00% compounded semi-annually. After 3 years and 9 months, the company transferred these funds to another investment that was earning interest at 5.50% compounded monthly. a. What is the balance in the fund at the end of 3 years and 9 months? b. What is the balance in the fund at the end of 6 years (from the initial investment)? c. By what amount did the fund grow during the 6 year period?An account was opened on January 1, 1999 with a deposit of $12,000. Additional deposits of $100 each were made to the account on the last day of each month for 5 years, with the first of those deposits occurring on January 31, 1999. Withdrawals from the fund of $1000 each on the first day of each quarter are scheduled to start on January 1, 2006. No other deposits or withdrawals are made. The interest rate is at a nominal annual rate of 8% compounded monthly. Find the balance in the fund on December 31, 2010.Jordan deposited $23,500 into a fund at the beginning of every quarter for 20 years. He then stopped making deposits into the fund and allowed the investment to grow for 3 more years. The fund was growing at 4.31% compounded monthly. a. What was the accumulated value of the fund at the end of year 20? Round to the nearest cent b. What was the accumulated value of the fund at the end of year 23? Round to the nearest cent c. What is the total amount of interest earned over the 23-year period? Round to the nearest cent
- Miguel deposited $11,500 into a fund at the beginning of every quarter for 15 years. He then stopped making deposits into the fund and allowed the investment to grow for 4 more years. The fund was growing at 2.69% compounded monthly. a. What was the accumulated value of the fund at the end of year 15? b. What was the accumulated value of the fund at the end of year 19? c. What is the total amount of interest earned over the 19-year period? 2 company deposited $8,500 into an investment fund at the beginning of every quarter for 4 years. It then stopped making deposits into the fund and allowed the investment to grow for 3 more years. The fund was growing at 4.50% compounded monthly. a. What was the accumulated value of the fund at the end of 4 years ? b. What was the accumulated value of the fund at the end of 7 years ? c. What was the amount of interest earned over the 7-year period?On January 1, you deposited $6,000 in an investment account. The account will earn 10 percentannual compound interest, which will be added to the fund balance at the end of each year.Required (round to the nearest dollar):1. What will be the balance in the account at the end of 10 years?2. What is the interest for the 10 years?3. How much interest revenue did the fund earn in the first year? the second year?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 Group of answer choices $889,522. $978,474. $1,077,586. $1,250,000.
- deposited $11,500 into a fund at the beginning of every quarter for 15 years. She then stopped making deposits into the fund and allowed the investment to grow for 4 more years. The fund was growing at 2.69% compounded monthly. a. What was the accumulated value of the fund at the end of year 15? b. What was the accumulated value of the fund at the end of year 19? c. What is the total amount of interest earned over the 19-year period?Meghan made equal deposits at the beginning of every 3 months into an RRSP. At the end of 6 years, the fund had an accumulated value of $55,000. If the RRSP was earning 3.50% compounded monthly, what was the size of the quarterly deposits?Sarah deposited $26,500 into a fund at the beginning of every quarter for 16 years. He then stopped making deposits into the fund and allowed the investment to grow for 4 more years. The fund was growing at 4.89% compounded monthly. a. What was the accumulated value of the fund at the end of year 16? b. What was the accumulated value of the fund at the end of year 20? c. What is the total amount of interest earned over the 20-year period? Please use algebra with detials