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Jim and Joan Miller are borrowing $120,000 at 6.5% per annum compounded monthly for 30 years (360 months) to purchase a home. Their monthly payment is determined to be S758.48.

Jim and Joan Miller are borrowing $120,000 at 6.5% per annum compounded monthly for 30 years (360 months) to purchase a home. Their monthly payment is determined to be S758.48.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Situation Jim and Joan Miller are borrowing $120,000 at 6.5% per annum compounded monthly for 30 years (360 months) to purchase a home. Their monthly payment is determined to be $758.48. Performance Task You need to present Jim and Joan with a report detailing the following: • Arecursive formula for their balance after each monthly payment has been made. • To do this, use the formula: a, = an-1: (1+r) – 758.48 A determination of Jim and Joan's balance after the first payment. Don't forget the interest affecting their payment! • Use a spreadsheet or graphing utility to create a table showing their balance after each monthly payment. • Determine when the balance will be below $75,000. • Determine when the balance will be paid off. • Determine the interest expense when the loan is paid. In other words, how much of the money that they paid was just due to interest? (find the total paid, and subtract 120,000 from it).
Transcribed Image Text:Situation Jim and Joan Miller are borrowing $120,000 at 6.5% per annum compounded monthly for 30 years (360 months) to purchase a home. Their monthly payment is determined to be $758.48. Performance Task You need to present Jim and Joan with a report detailing the following: • Arecursive formula for their balance after each monthly payment has been made. • To do this, use the formula: a, = an-1: (1+r) – 758.48 A determination of Jim and Joan's balance after the first payment. Don't forget the interest affecting their payment! • Use a spreadsheet or graphing utility to create a table showing their balance after each monthly payment. • Determine when the balance will be below $75,000. • Determine when the balance will be paid off. • Determine the interest expense when the loan is paid. In other words, how much of the money that they paid was just due to interest? (find the total paid, and subtract 120,000 from it).
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