Concept explainers
COMBINED APPLICATIONS
Problems 39 and 40 are complex financial problems that require several skills, perhaps some from previous sections.
During four years of college, Nolan MacGregor’s student loans are $4000, $3500, $4400, and $5000 for freshman year through senior year, respectively. Each loan amount gathers interest of 1%, compounded quarterly, while Nolan is in school and 3%, compounded quarterly, during a 6-month grace period after graduation.
(a) What is the loan balance after the grace period? Assume the freshman year loan earns 1% interest for 3/4 year during the first year, then for 3 full years until graduation. Make similar assumptions for the loans for the other years.
(b) After the grace period, the loan is amortized over the next 10 years at 3%, compounded quarterly. Find the quarterly payment.
(c) If Nolan decides to pay an additional $90 per payment, how many payments will amortize the debt?
(d) How much will Nolan save by paying the extra $90 with each payment?
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Mathematical Applications for the Management, Life, and Social Sciences
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