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Goal To use recursive sequence to determine the amount money owed on a loan after months Role You are a loan officer at a mortgage
Goal
To use recursive sequence to determine the amount money owed on a loan after months
Role
You are a loan officer at a mortgage company.
Audience
Jim and Joan Miller are customers applying for a mortgage.
Situation
Jim and Joan Miller are borrowing $120,000 at 6.5% per annum compounded monthly for 30 years 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:
- A recursive formula for their balance after each monthly payment has been made.
- A determination of Jim and Joan's balance after the first 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.
Standards for Success
- You will form an accurate recursive formula.
- You will accurately determine the balance after the first payment.
- You will accurately and completely construct a chart showing balances after each monthly payment.
- You will accurately determine when the balance will be below $75,000 and when it will be paid off.
- You will accurately determine the total interest expense incurred.
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