Respuesta :
If the Johnsons want the lowest monthly payment, the recommended loan option is Option b.
Data and Calculations:
Cost of house = $210,000
Down payment = 20% or $42,000 ($210,000 x 20%)
Loan = $168,000 ($210,000 - $42,000)
Monthly Payments:
Option a. 30 year FHA, 3. 5% down at a fixed rate of 6. 25%:
Cost of house = $210,000
Down payment = 3.5% or $7,350 ($210,000 x 3.5%)
Loan = $202,650 ($210,000 - $7,350)
Result:
Monthly Payment = $1,247.75
Sum of all periodic payments = $449,190.33
Total Interest = $246,540.33
Option b. 30 year fixed, 20% down at a fixed rate of 6%
Cost of house = $210,000
Down payment = 20% or $42,000 ($210,000 x 20%)
Loan = $168,000 ($210,000 - $42,000)
Result:
Monthly Payment = $1,007.24
Sum of all periodic payments = $362,608.16
Total Interest = $194,608.16
Option c. 30 year fixed, 10% down at a fixed rate of 6%
Cost of house = $210,000
Down payment = 10% or $21,000 ($210,000 x 10%)
Loan = $189,000 ($210,000 - $21,000)
Result:
Monthly Payment = $1,133.15
Sum of all periodic payments = $407,934.18
Total Interest $= 218,934.18
Option d. 15 year fixed, 20% down at a fixed rate 5. 5%
Cost of house = $210,000
Down payment = 20% or $42,000 ($210,000 x 20%)
Loan = $168,000 ($210,000 - $42,000)
Result:
Monthly Payment = $1,372.70
Sum of all periodic payments = $247,086.04
Total Interest = $79,086.04
Thus, if the Johnsons want the lowest monthly payment, the recommended loan option is Option b with a monthly payment of $1,007.24.
Learn more about monthly payments on loans here: https://brainly.com/question/24576997 and https://brainly.com/question/25599836
Johnson's should opt for a loan with interest rate of 6.25% ; period of 30 years and a down payment of 20% of the loan amount. So, the correct option that matches the query is B.
The calculation of the interest can be done by using the simple interest. Under Simple interest method, the loan is calculated only on the principal amount and not on the interest.
Housing Loans
- The calculation when the down payment of 20% is made upfront the calculation will be shown as $42000. So, the interest will be charged only on the remaining balance of $168,000.
- The calculation can be shown as below,
- [tex]\rm Amount= \dfrac{Principal\ x\ Rate\ of\ Interesr\ x\ Time}{100}\\ \\\\ \rm Amount= \dfrac{168000\ \rm x\ 6\ \rm x\ 360}{100}\\ \\ [/tex]
- The interest to be paid each year will be calculated as under for a total number of 30 years.
- [tex]\rm Interest\ per\ Year= \dfrac{36288}{30}[/tex]
- So total interest to be paid each year will be $1209.6 which is lower than all the other options available in the hands of Johnson's.
Hence, the correct option is B that it would be beneficial for Johnson's to opt for 20% down payment at an interest rate of 6% and for a period of 30 years.
To know more about housing loans, click on the link below.
https://brainly.com/question/4599397