Calculate the amount of money William had to deposit in an investment fund growing at an interest rate of 2.50% compounded annually, to provide her daughter with $15,000 at the end of every year, for 4 years, throughout undergraduate studies. Round to the nearest cent
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- Comprehensive The following are three independent situations: 1. K. Herrmann has decided to set up a scholarship fund for students. She is willing to deposit 5,000 in a trust fund at the end of each year for 10 years. She wants the trust fund to then pay annual scholarships at the end of each year for 30 years. 2. Charles Jordy is planning to save for his retirement. He has decided that he can save 3,000 at the end of each year for the next 10 years, 5,000 at the end of each year for Years 11 through 20, and 10,000 at the end of each year for Years 21 through 30. 3. Patricia Karpas has 200,000 in savings on the day she retires. She intends to spend 2,000 per month traveling around the world for the next 2 years, during which time her savings will earn 18%, compounded monthly. For the next 5 years, she intends to spend 6,000 every 6 months, during which time her savings will earn 12%, compounded semiannually. For the rest of her life expectancy of 15 years, she wants an annuity to cover her living costs. During this period, her savings will earn 10% compounded annually. Assume that all payments occur at the end of each period. Required: 1. In Situation 1, how much will the annual scholarships be if the fund can earn 6%? How much at 10%? 2. In Situation 2, (a) How much will Charles have at the end of 30 years if his savings can earn 10%? How much at 6%? (b) If Charles expects to live for 20 years in retirement, how much can he withdraw from his savings at the end of each year if his savings earn 10%? How much at 6%? (c) How much would Charles need to invest today to have the same amount available at the time he retires as calculated in Situation 2(a) at 10%? How much at 6%? 3. In Situation 3, how much will Patricias annuity be?Calculate the amount of money Dylan had to deposit in an investment fund growing at an interest rate of 2.00% compounded annually, to provide her daughter with $11,000 at the end of every year, for 2 years, throughout undergraduate studies. Round to the nearest centCalculate the amount of money Zhang had to deposit in an investment fund growing at an interest rate of 4.50% compounded annually, to provide his daughter with $13,000 at the end of every year, for 3 years, throughout undergraduate studies.
- Calculate the future value of end-of-month payments of $4,000 made at 3.57% compounded quarterly for 4 years. Calculate the amount of money Miguel had to deposit in an investment fund growing at an interest rate of 2.50% compounded annually, to provide her daughter with $13,000 at the end of every year, for 3 years, throughout undergraduate studies Dylan deposits $350 at the end of every month for 2 years and 4 months in a retirement fund at 4.64% compounded quarterly. a. What type of annuity is this? Ordinary simple annuity Ordinary general annuity Simple annuity due General annuity due b. How many payments are there in this annuity?On January 1, Alan King decided to transfer an amount from his checking account into aninvestment account that later will provide $80,000 to send his son to college (four yearsfrom now). The investment account will earn 8 percent, which will be added to the fund eachyear-end.Required (show computations and round to the nearest dollar):1. How much must Alan deposit on January 1?2. What is the interest for the four years?Tom up a savings fund for his son's education so that he would be able to withdraw $1,550 at the beginning of every month for the next 6 years. The fund earns 4.98% compounded quarterly. a. What amount should he deposit today to allow for the $1,550 periodic withdrawals? b.How much interest would he earn in this investment? Blake invested $1,800 at the beginning of every 6 months in an RRSP for 11 years. For the first 8 years it earned interest at a rate of 4.40% compounded semi-annually and for the next 3 years it earned interest at a rate of 6.40% compounded semi-annually. a. Calculate the accumulated value of his investment after the first 8 years. b. Calculate the accumulated value of his investment at the end of 11 years. c. Calculate the amount of interest earned from the investment. Blake invested $1,800 at the beginning of every 6 months in an RRSP for 11 years. For the first 8 years it earned interest at a rate of 4.40% compounded semi-annually and for the…
- New parents wish to save for thier newborn's education and wish to have $36,000 at the end of 18 years. How much should the parents place at the end of each year into a savings account that earns an annual rate of 5.6% compounded annually? (round your answer to two decimal places). How much interst would they earn over the life of the account? Determine the value of the fund after 12 years.What lump sum do parents need to deposit in an account earning 11%, compounded monthly, so that it will grow to $100,000 for their son's college fund in 12 years? (Round your answer to the nearest cent.)Ann and Tom want to establish a fund for their grandson's college education. What lump sum must they deposit at a 7% annual interest rate, compounded monthly, in order to have $40,000 in the fund at the end of 15 years?
- A woman expects to have $10,000 in 4 years to buy a pair of earrings. She plans to create a sinking fund by depositing an amount every 6 months. If the fund earns 16% interest compounded semi-annually, find the semi-annual deposit and construct a sinking fund schedule.New parents wish to save for their newborn's education and wish to have $45,000 at the end of 16 years. How much should the parents place at the end of each year into a savings account that earns an annual rate of 4.8% compounded annually? (Round your answers to two decimal places.)$ How much interest would they earn over the life of the account?$ Determine the value of the fund after 8 years.$ How much interest was earned during the 8th year?Mr. J. J. Parker is creating a college fund for his daughter. He plans to make 15 yearly payments of $1500 each with the first payment deposited today on his daughter’s first birthday. Assuming his daughter will need four equal withdrawals from this account to pay for her education beginning when she is 18 (i.e. 18, 19, 20, 21), how much will she have on a yearly basis for her college career? J. J. expects to earn a hefty 12% annual return on his investment. (show work)
