Business and engineering seniors are comparing methods of financing their college education during their senior year. The business student has $30,000 in student loans that comes due at graduation. Interest is an effective 4% per year. The engineering senior owes $50,000: 50% from his parents with no interest due, and 50% from a credit union loan. This latter amount is also due at graduation with an effective rate of 7% per year.
(a) What is the D-E mix for each student?
(b) If their grandparents pay the loans in full at graduation, what are the amounts on the checks they write for each graduate?
(c) When grandparents pay the full amount at graduation, what percent
(a) Business: all debt; D-E = 100%-0%
Engineer: 50% debt; D-E is 50%-50%
(b) Business: FW = 30,000(F/P,4%,1)
= 30,000(1.04)
= $31,200
Check is for $31,200
Engineer: FW = 25,000 + 25,000(F/P,7%,1)
= 25,000 + 26,750
= $51,750
Two checks: $25,000 to parents and $26,750 to credit union
(c) Business: 4%
Engineer: 0.5(0%) + 0.5(7%) = 3.5% or (1750/50,000)*100 = 3.5%
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