A. Ken deposits P100,000 today and another P 200,000 in five 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 n and 2n, respectively. At the end of 10 years, the accumulated value of Ken's deposits is exactly the same as the accumulated value of Ian's deposits. Calculate n.
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- 4. John makes deposits of 1,100 at the end of each year for n years into a fund. At time n, he uses the accumulated value of the fund to purchase an annuity immediate that makes payments of 30,102.71 at the end of each year for 15 years. The annual effective interest rate is 13%. Calculate n. a. n = 24 b. n = 26 n = 28 d. n = 20 e. n = 18 نه ن ن ف قAnton 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).Ms Oksana Doe has just inherited an investment account worth $2,800,000 from her grandparents. The fund earns an annual interest rate of 6%. She plans to make uniform annual withdrawals from the account over the next 25 years. Answer the following two questions: 1. How much will each annual withdrawal be? OA. $223,160 OB. $47,320 OC. $50,960 OD. $232,120 OE. $218,960 2. What will be the balance in the account immediately after making the 8th annual withdrawal? OA. $1,359,698 OB. $1,048,320 OC. $2,294,110 O D. $2,431,991
- Problem: Mary deposits 1000 into a fund at the beginning of each year for 10 years. At theend of 15 years, she makes an additional deposit of X. At the end of 20 years, Maryuses the accumulated balance in the fund to buy a perpetuity-immediate with annualpayments of 2000 for 10 years, and 1000 per year thereafter. The annual effectiveinterest rate is 7%.(i) Calculate the time value of the perpetuity at the end of 20 years.(ii) Determine X.Kevin deposits $10,000 at the beginning of each year for ten years, into a financial instrument offering dividend rate of 10% per year. He then withdraws annualized level payments of P starting at the beginning of eleventh year and continuing for 15 years later, at dividend rate of 5% per year. At the end of 25 years, the fund balance remains zero. a. Calculate the present value of the annualized deposits he makes. b. Calculate the annualized level payment of withdraw, P. c. Determine the balance of the fund at the end of 15 years starting from the year he makes his first deposit, just before the next sixth withdraw is being made.Alp Bilgin deposits $33.000 in asaving account that pays 9%interest compounded monthly.Four years later, he deposits $20.000. Three years after the20.000 deposit, he makesanother deposit in the amount of$16.500. Six years after the $16.500, half of the accumulatedfunds are transferred to a fundthat pays 12% interestcompounded quarterly. Howmuch money will be in accounteight years after the transfer?
- Rose deposits P20,000 into a fund that earns 7.5% interest payable quarterly while Jack deposits at the same time P22,000 into a fund that earns a constant force of interest of r. After 2 years and 6 months, the value of their deposits are the same. Determine the constant force of interest rate r.( O 3.22% 3.32% O 3.42% 3.52% O 3.62%A saver plans to make 25 deposits of 100 at the end of each year. If the interest rate were 6% effective per annum, he would accumulate a fund of amount F on the date of the last payment. The saver makes the first 10 deposits of 100. However, the account only credits an effective annual interest rate of 5%. Therefore, the saver determines that he must increase each of the remaining 15 deposits to X so that he can accumulate the desired fund of F. Assuming that the fund continues to earn 5% effective annual interest, find X.Ariells borrows 400,000 at i-.03. She repays this loan by paying off only the interést due at the end of each year to the lender and depositing a level amount Y at the end of each year into a sinking fund account offering 6% APY so as to accumulate the full balance of the loan amount in the sinking fund at the end of 15 years. Find the AEIR that Arielle has ended up paying on this loan. O A..01744 OB. 0115 O C..02009 O D..01194 O E..01586
- Miguel contributed $300 at the end of every 3 months into an RRSP fund earning 2.84% compounded quarterly for 10 years. a. What is the future value of the fund at the end of 10 years? Round to the nearest cent b. What is the amount of interest earned over this period? Round to the nearest cent ↑how much can we paid in scolarships at the end of half year if $90.000 is deposited in a trust fund if interest is 8.5% compounded semi-anually? the amount that can be paid each half-year is $_____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