A) Ken deposits #100, and today and another $ 200, mw in Five on years into a fund that pays simple discount at 5% p.a. Ian makes the same deposits into another fund that credits Interest at 10% effective per year, but at time in and 2n, respectively. At the end of to years, the accumulated value of ken's deposits is exactly the same as the accumulated value of lan's deposits. Calculate n.
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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?Refer to the present value table information on the previous page. What amount should Brett have in his bank account today, before withdrawal, if he needs 2,000 each year for 4 years, with the first withdrawal to be made today and each subsequent withdrawal at 1-year intervals? (Brett is to have exactly a zero balance in his bank account after the fourth withdrawal.) a. 2,000 + (2,000 0.926) + (2,000 0. 857) + (2,000 0.794) b. 2,0000.7354 c. (2,000 0.926) + (2,000 0.857) + (2,000 0.794) + (2,000 0.735) d. 2,0000.9264a) An individual wishes to accumulate $1,700,000 in 20 years. If he wants to deposit a certain amount of fund annually in the first 10 years and do nothing in the following 10 years, what size deposit is required to meet the stated objective? Assume the annual compound interest rate is 4%. b) Solve the following, using interest rate at 7% compounded annually: i) What is the amount that will be accumulated in a sinking fund at the end of the 15th year if $200 is deposited in the fund at the beginning of each of the 15 years? ii) What uniform annual payment for 30 years is equivalent to spending $10,000 immediately, $11,000 at the end of 10 years, $12,000 at the end of 20 years, and $2,000 a year for 30 years?
- Joe deposits GHS10 today and another GHS30 in five years into a fund paying simple interest of 11% per year. Tina will make the same two deposits, but the GHS10 will be deposited n years from today and the GHS30 will be deposited 2n years from today. Tina’s deposits earn an annual effective rate of 9.15%. At the end of 10 years, the accumulated amount of Tina’s deposits equals the accumulated amount of Joe’s deposits. Calculate n. (Pearl Alvarez is investing $323,200 in a fund that earns 8% interest compounded annually. What equal amounts can Pearl withdraw at the end of each of the next 20 years? (Round factor values to 5 decimal places, eg 1.25124 and final answer to O decimal places, eg. 458,581) Yearly withdrawals=Anton deposits P400,000 today and another P200,000 in 6 years into a fund paying simple interest of 5% per year. Andres on the other hand made the same two deposits but P400,000 will be deposited t years from today and P200,000 will be deposited 2t years from today. His account earns an annual effective rate of 4%. At the end of 15 years, the accumulated amount of Anton’s deposits equals the accumulated amount of Andres deposits. Calculate t (round off to the nearest two decimal places).
- An investor wants to accumulate $50,000 in a fund at the end of 20 years. If the investor deposit$1,000 in the fund at the end of each of the first 10 years and $1, 000 + X at the end of each ofthe second 10 years, find the value of X if the fund earns 7% effective. Do the following steps toanswer this problem: a. $1,000 are deposited in the fund at the end of each of the first 10 years. This means thatthis is an example of annuity-immediate. Compute for the accumulated value of the fund inthe first 10 years. Call this T.b. The value of the fund in the first 10 years is T . Solve for the future value of T at the end ofthe next 10 years. Use the formula Future value = P (1 + i) t. Call this answer FV . (2points)c. The target amount of the investor is $50,000. The investment made in the first 10 yearsalone will grow to the value FV at the end of 20 years. So, in the second 10 years, theaccumulated value of the investment must be $50, 000 − FV . What is this value? Call thisU .Suppose an individual invests $20,000 in a load mutual fund for two years. The load fee entails an up-front commission charge of 2.5 percent of the amount invested and is deducted from the original funds invested. In addition, annual fund operating expenses are 0.55 percent. The annual fees are charged on the average net asset value invested in the fund and are recorded at the end of each year. Investments in the fund return 7 percent each year paid on the last day of the year. If the investor reinvests the annual returns paid on the investment, calculate the annual return on the mutual funds over the two-year investment period. Select one: a. 3.77% b. 5.09% c. 7.54% d. 8.86% e. 10.18%Bright Inc. will be receiving $5,400 at the end of every month for the next 4 years. If these payments were directly invested into a fund earning 5.50% compounded semi-annually, what would be the future value of the fund at the end of 4 years? Jamie invested $875 at the end of every month in an investment fund that was earning interest at a rate of 4.62% compounded monthly. He stopped making regular deposits at the end of 6 years when the interest rate changed to 6.63% compounded quarterly. However, he let the money grow in this investment fund for the next 4 years. a. Calculate the accumulated balance in his investment fund at the end of 6 years. Round to the nearest cent b. Calculate the accumulated balance in his investment fund at the end of 10 years. Round to the nearest cent c. Calculate the total interest earned over the 10-year period.
- Assume that your uncle starts an account for you in a mutual fund with an initial deposit of $790 today. He also makes $790 deposits at the end of each of year 1 and the end of year 2 (i.e. three deposits in all). After the third deposit, he will make no more contributions . Assuming the fund averages a 7.0% p.a. return , what will the balance in the account be at the end of the 6th year? Record your answer as a dollar amount , rounded to two decimal places , but do not include a dollar sign or any commas in your answer . For example , enter $ 18,232.36987 as 18232.37 .John invests 2000 at time 0 in a fund earning 7% convertible quarterly, but payable annually. He reinvests each interest payment in individual separate funds each earning 8% convertible quarterly, but payable annually. The interest payments from the separate funds are accumulated in a side fund that guarantees an annual effective rate of 9%. Determine the total value of all funds at time 10.At the start of the year, Piotr has an investment fund worth $30,000.00. 4 months later the fund is worth $30,750.00 and Piotr deposits another $3,000.00. 4 months after that, the fund is worth $34,425.00 and Piotr withdraws the $3,000.00 his deposited the time before. At the end of the year the fund is worth $31,425.00. a) What is the Dollar Weighted Return for Piotr's investment? b) What is the Time Weighted Return for the investment fund? c) What would the fund balance at the end of year have to be to make the Time Weighted Return for the year equal the Dollar Weighted Return for the year? d) In this case (TWR = DWR) what was the return on the investment fund in the last time period?