Question

23. What is the future value at the end of year 28 of depositing $5,000 today, $3,500 at the end of years 1, 2 and 3, $5,000 at the end of years 4, 5, 6 and 7 and $4,250 at the end of years 8, 9, 10, 11 and 12 into an account that pays 9.5% p.a.? (No deposits will be made into the account after year 12). 24. If you wanted to fund a scholarship that would pay $12,500 per year forever at GSU, how much would you have to deposit today if you wanted the scholarship to start paying six (6) years from today? Assume the endowment could earn 6.25% p.a. interest forever. 25. You currently owe $26,000 on a car loan at 4.25 percent interest. If you make monthly payments of $596.59 per month, how long (i.e., number of months rounded to one decimal place) will it take you to fully repay the loan?

Answer 1

answering question no 23.

= (5000x (1.095) ^28 ) + (3500 x (1.095) ^ 27 )+ (3500 x (1.095) ^ 26 ) + (3500 x (1.095) ^ 25 ) + (5000x (1.095) ^ 24 ) + (5000 x (1.095) ^ 23 ) + (5000x (1.095) ^ 22 ) + (5000x (1.095) ^ 21 ) + (4250x (1.095) ^ 20 ) + (4250x (1.095) ^ 19) +(4250x (1.095) ^ 18 ) + (4250x (1.095) ^ 17 ) + (4250x (1.095) ^ 16)

= $ 439,592.1362