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- 3) equal deposits. The first deposit is made right now, the second, one year from now, and the third, two years from now. The fund pays 5% per year compounded annually. How much should you deposit each time? You would like to accumulate $25,000 in 3 years for a remodeling project. You plan to make 311. A man deposited P6,000 at a rate of 10% per annum. However, to add more fund, he deposits P500 per year that started one year after he deposited the P6,000. If he is withdrawing P1,500 per year for his expenses, for how long will the fund last and what will be the balance in the fund after the last withdrawal was made?Q3…Abbigail wish to establish a trust fund from which her daughter can withdraw $6,000 every six months for 15 years, when she reach 16 years old. At the end of which time she will receive the remaining money in the trust, which you would like to be $25,000. The trust will be invested at 6% per annum compounded semi-annually. How large should the trust be? Q4…It is now January 1, 2018. You plan to make 5 deposits of $200 each, one every 6 months, with the first payment being made today. If the bank pays a nominal interest rate of 10%, but uses semi-annual compounding, how much will be in your account after 8 years?
- Q3. Ricardo plans to own a 1 hectare lot after 10 years for an estimated cost of P5M. To accumulate this amount, he will make equal year and deposits in a fund earning 15% compounded annually. However, at the end of the 7th year, he decided to turn it into an agricultural farm and is planning to buy seeds and other things worth P2M. What should be his deposits in the last 3 years? Answer: A = P822,214.23An aunt gifts you with $12,000, but only after you invest it for one year. She givesyou two choices.1. Invest the entire sum at 4.2% compounded monthly.2. Invest $1000 at 7.1% each month in an annuity that pays every month.(a) What is the future value of the money invested with method 1?(b) How much interest is earned with method 1?(c) What is the future value of the money invested with method 2?(d) How much interest is earned with method 2?(e) Which method would you choose?BE6.5 (LO 3) Sally Medavoy will invest $8,000 a year for 20 years in a fund that will earn 6% annual interest. If the first payment into the fund occurs today, what amount will be in the fund in 20 years? If the first payment occurs at year-end, what amount will be in the fund in 20 years? BE6.6 (LO 3) Steve Madison needs $250,000 in 10 years. How much must he invest at the end of each year, at 5% interest, to meet his needs? BE6.7 (LO 2) John Fillmore’s lifelong dream is to own his own fishing boat to use in his retirement. He estimates that the boat he wants will cost $300,000 when he retires in 5 years. How much must he invest at an annual rate of 8% (compounded annually) to buy the boat at retirement? BE6.8 (LO 2) Refer to the data in BE6.7. Assuming quarterly compounding of amounts invested at 8%, how much must be invested to have enough at retirement to buy the boat? BE6.9 (LO 3) Morgan Freeman is investing $9,069 at the end of each year in a fund that earns 5% interest. In how…
- An investor pays ₱1,100,000 for a mine which will yield a net income of ₱200,000 at the end of each year for 10 years and then will become useless. He accumulates a replacement fund at 4.5%. At what rate (%) does he receive interest on his investment at the end of each year? ANSWER WITH COMPLETE SOLUTION2. Ms. Pan Aram has set the goal of accumulating Php 4,000,000 for her son's college fund, which will be needed 18 years in the future. Her investment agent advises her that she can deposit today to Bank X that earns 8% annual interest. a. Option A: How much she needs to deposit today in the bank? b. Option B: If she will be depositing an equal payment of Php 107,000 per year for 18 years at 8% annual interest, how much is the future value? c. Which is the better option Ms. Pan should decide? Why?17) Sun Woo wants to purchase an annuity that will pay him $1,000 a month for fifteen years. If he can a 4.5% rate of return, how much will he have to pay today in order to purchase this B) $154,327 C) $96,489 D) $130,720 E) $185,171 negotiate annuity? A) $123,185
- Jimmy deposits $3,600 now, $ 2,500 3 years from now, and $ 5,800 6 years from now. Interest is 6 % for the first 3 years and 7 % for the last 3 years. (Round your answers to the nearest whole dollar. The tolerance is +/- 4.00) a. How much money will be in the fund at the end of 6 years? $ b. What is the present worth of the fund? $ c. What is the uniform series equivalent of the fund (uniform cash flow at end of years 1-6)? 69B. Refer to the problem below and answer the question that follows. Suppose Mrs. Remoto would like to save P3,000 every month in a fund that gives 9% compounded monthly. How much is the amount or future value of her savings after 6 months? Given: periodic payment, R = P3,000 Term, t = 6 months Interest rate per annum i = 0.09 Number of conversions per year, m = 12 0.09 Interest rate per period, j = -= 12 = 0.0075 m Required: future value, F Solution: 1. Illustrate the cash flow in time diagram. 3,000 3, 000 3,000 3,000 3,000 3,000 0 1 2 3 4 5 6Your friend offers to pay you an annuity of $8,100 at the end of each year for 3 years in return for cash today. You could earn 5.5% on your money in other investments with equal risk. What is the most you should pay for the annuity? Select the correct answer. a. $21,846.16 b. $21,860.36 c. $21,874.56 d. $21,853.26 e. $21,867.46