Your grandmother has promised to give you $5,000 a year at the end of each of the next four years if you earn Cs or better in all of your courses each year. Using a discount rate of eight percent, which of the following is correct for determining the present value of the gift? PV = Annuity($5,000, i = 8%, n=4) PV = $5,000 x (Annuity PV factor, i = 4%, n = 8) PV = $5,000 x (Annuity FV factor, i = 8%, n = 4) PV = $5,000 x (Annuity PV factor, i = 8%, n = 4)
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- Your grandmother will be gifting you $150 at the end of each month for four years while you attend college. At an annual discount rate of 3.7 percent, what are these payments worth to you on the day you enter college? A. $6, 201.16 B. $ 6,539.14 C. $6,608.87 D. $6,682.99 E. $6,870.23An 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?Your rich aunt has promised to give you $2,000 per year at the end of each of the next four years to help you pay for college. Using a discount rate of 12%, the present value of the gift can be stated as a. PV = $2,000 (PV factor,i= 4%,n= 12). b. PV = $2,000 (Annuity PV factor,i= 12%,n= 4). c. PV = $2,000 (Annuity FV factor,i= 12%,n= 4). d. PV = $2,000 × 12% × 4.
- Your rich aunt has promised to give you $2,000 per year at the end of each of the next four years to help you pay for college. Using a discount rate of 12%, the present value of the gift can be stated as PV = $2,000 (PV factor, = 4%, n = 12). PV = $2,000 (Annuity PV factor, i= 12%, n = 4). PV = $2,000 (Annuity FV factor, i = 12%, n = 4). PV = $2,000 × 12% × 4.Mr. Lucky just won the lottery. He has a choice of $1,000,000 today or a $50,000 semi-annual payment (every six months) for 15 years, with the first payment six months from today. What rate of return is built in the annuity? Group of answer choices 7.86 % 3.78% 5.69 % 8.08% 4.99%K (Solving for PMT of an annuity) To pay for your child's education, you wish to have accumulated $15,000 at the end of 15 years. To do this, you plan on depositing an equal amount into the bank at the end of each year. If the bank is willing to pay 6 percent compounded annually, how much must you deposit each year to reach your goal? To reach your goal, your annual deposit must be $ (Round to the nearest cent.)
- (Solving for i of an annuity) You lend a friend $30,000, which your friend will repay in five equal annual end-of-the year payments of $10,000, with first payment to be received 1 year from now. What rate of return does your loan receive?You intend to endow a scholarship that pays $5,000 every 6 months, starting 6 months from now. If the appropriate discount rate is 3% per 6-month period, how much money will you have to donate ← today to endow the scholarship? You will need to donate $ (Round to the nearest dollar.) CIT? You would like to have enough money saved to receive a $53,000 per year perpetuity after retirement. How much would you need to have saved in your retirement fund to achieve this goal? Assume that the perpetuity payments start on the day of your retirement. The annual interest rate is 8 percent. O -00 Multiple Choice $715,500 $1,060,000 $530,000
- You would like to have enough money saved to receive a $90,000 per year perpetuity after retirement. The annual interest rate is 8 percent. Required: How much would you need to have saved in your retirement fund to achieve this goal? a) Assume that the perpetuity payments start on the day of your retirement. b) Assume that the perpetuity payments start one year from the date of your retirement.Your grandmother is gifting you GH¢ 100 a month for four years while you attend University to earn your Bachelor's degree. At a 5.5 percent discount rate, what are these payments worth to you on the day you enter college? #randomized O A. GH¢ 4,201.16 O B. GH¢ 4,299.88 O C. GH¢ 4,509.19 O D. GH¢ 4,608.87← A newborn child receives a $8,000 gift toward a college education from her grandparents. How much will the $8,000 be worth in 19 years if it is invested at 5.9% compounded quarterly? It will be worth $ (Round to the nearest cent.)