Loan Amortization and Interest Rates

This video tutorial from Howard Community College explains how to construct an amortization schedule for a loan of $15,000 at 4.5% interest compounded monthly over 3 years. It covers calculating the monthly payment using the present value formula, determining the monthly interest rate, and filling in the amortization table. The video demonstrates the process for the first three months, highlighting how the interest and principal components of each payment change over time. It concludes with observations on the amortization process, including the impact of rounding errors.

What is the main purpose of this video?

• To teach how to construct an amortization schedule

• To explain the history of Howard Community College

• To discuss different types of loans

• To provide a detailed analysis of interest rates

What is the principal amount of the loan discussed in the video?

• $10,000

• $20,000

• $25,000

• $15,000

How is the interest on the loan compounded?

• Annually

• Quarterly

• Monthly

• Daily

What is the duration of the loan in years?

• 2 years

• 1 year

• 4 years

• 3 years

Which formula is used to calculate the monthly payment?

• Future value formula

• Present value formula

• Compound interest formula

• Simple interest formula

What is the calculated monthly payment for the loan?

• $475.75

• $425.50

• $400.00

• $446.20

How is the monthly interest rate derived from the annual rate?

• By subtracting 12 from the annual rate

• By multiplying the annual rate by 12

• By dividing the annual rate by 12

• By adding 12 to the annual rate

What is the monthly interest rate for the loan?

• 0.0045

• 0.00375

• 0.375

• 0.045

What is the unpaid balance at the start of the loan?

• $14,000

• $14,500

• $15,000

• $15,500

How much of the first month's payment is interest?

• $65.00

• $60.00

• $56.25

• $50.00