Understanding Loan Payments and Interest

Understanding Loan Payments and Interest

Assessment

Interactive Video

Created by

Sophia Harris

Mathematics, Business

10th - 12th Grade

Hard

The video tutorial explains the loan payment formula used to calculate fixed installment loans, such as car loans and home mortgages. It covers the components of the formula, derived from the compounded interest and annuity formulas, and provides examples of calculating monthly payments and total interest for 30-year and 15-year mortgages, as well as a 5-year car loan. The video concludes with additional considerations for mortgage loans, including origination fees and escrow accounts.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal of installment buying?

To pay for a purchase in a single payment

To buy something today and pay back with equal payments over time

To make irregular payments over a period of time

To avoid paying any interest on a loan

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which two formulas are combined to derive the loan payment formula?

Mortgage and car loan formulas

Compounded interest and annuity formulas

Annuity and simple interest formulas

Simple interest and compound interest formulas

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the loan payment formula, what does 'R' represent?

The number of payments per year

The total interest paid

The annual nominal interest rate

The loan amount

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For a 30-year mortgage loan of $150,000 with a 5% interest rate, what is the approximate monthly payment?

$805.23

$500.00

$1,200.00

$1,000.00

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How much total interest is paid over 30 years for a $150,000 loan with a 5% interest rate?

$200,000

$50,000

$139,882.80

$100,000

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the monthly payment for a 15-year mortgage compared to a 30-year mortgage?

It is double

It is higher

It is the same

It is lower

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How much more interest is paid with a 30-year mortgage compared to a 15-year mortgage?

$50,000

$70,000

$30,000

$100,000

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the monthly payment for a 5-year car loan of $20,000 with a 5.5% interest rate?

$450.00

$382.02

$500.00

$600.00

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the total interest paid over five years for a $20,000 car loan at 5.5% interest?

$1,500

$2,921.20

$4,000

$5,000

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What additional costs might be associated with mortgage loans?

Origination fees and points

None of the above

Early repayment fees

Late payment penalties

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