how much must you donate now if the fund earns interest at a rate of 4% per year? Show your hand calculations and solve this question in excel. Show your cash flows in excel
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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?You plan to set up an endowment at your alma mater that will fund $180,000 of scholarships each year indefinitely. If the principal (the amount you donate) can be invested at 6.4 percent, compounded annually, how much do you need to donate to the university today, so that the first scholarships can be awarded beginning one year from now? (Round answer to 2 decimal places, e.g. 52.75.)You want to endow a scholarship that will pay $12,000 per year forever, starting one year from now. If the school's endowment discount rate is 5%, what amount must you donate to endow the scholarship?
- You want to endow a scholarship that will pay $11,000-per year forever, starting one year from now. If the school's endowment discount rate is 9%, what amount must you donate to endow the scholarship? The amount you must donate is $_______. (Round to the nearest cent.)You want to endow a scholarship that will pay $11,000 per year forever, starting one year from now. If the school's endowment discount rate is 10%, what amount must you donate to endow the scholarship? The amount you must donate is $ (Round to the nearest cent.)You wish to establish a permanent scholarship at Bond University providing a worthy student with $1000 annually. If invested monies generate an 8% return, how much is needed in the scholarship fund?
- You want to endow a scholarship now that will pay $10,000 per year forever, starting the first award 10 years from now. If the school's endowment discount rate is 7 %, what amount must you donate today to endow the scholarship?You want to create an endowment income of $35,000 per year for Oxtordshire Charity, but the Tirst payment will not be made until the 4th year's time. a. If you can earn a return of 8% APR on your investment, and if the payment is made on a monthly basis, calculate how much to invest now? $5,133,086.81 B. $4,133,086.81 $5,233,086.81 $4,233,086.81 $5,250,000.813. A donor wishes to endow a scholarship to a certain university in the name of a certain professor. The scholarship is to provide $50000 per year for the first 8 years and starting 11 years from now $200000 every 3 years (forever). If the university expects to be able to earn a nominal interest of 16% per year compounded continuously on the endowment, how much must the donor give now if the first scholarship is to be given 1 year from now?
- A college wants to provide students with a perpetual scholarship of $10,000 at the end of every 3 months. How large should their endowment fund be if invested at X% (choose the rate) compounded quarterly?Assume you are working with the foundation to fund a scholarship in your name. Currently, the foundation can earn a 5 percent return on any donations. A. How much money would you need to donate to fund a scholarship that pays $25,000 every year forever, starting one year from now? B. How much money would you need to donate if the foundation could increase their return to 7 percent on any donations?(b) As an added benefit to staff, Insignia intends to start a Trust Fund to assist the children of its employees with university tuition via scholarships. The intention of the company is to assist 4 different students annually with a $10,000 grant each. The grant is expected to be increased by 5% annually and provide scholarships indefinitely. Required: i. Assuming this fund will earn 10% interest per annum, calculate the value of the fund today. ii. Insignia decides to fund this amount (calculated in (i)) via monthly deposits over the next 12 months in an enhanced savings account, after which the scholarships will begin. Assuming a return of 12%, compounded monthly, how much would Insignia need to deposit monthly over the next year, to achieve this goal? ii. Compute the effective annual rate on this enhanced savings account.
