Ron is ready to purchase a house that costs $300,000. He wants the minimum LTV to avoid PMI. He qualifies for a 15-year fixed-rate loan at 4.5%, what is the total finance charges?

A) $80,890

B) $90,500

C) $90,150

D) $90,900

Respuesta :

Answer:

B) $90,500

Explanation:

Minimum LTV to avoid PMI is 80% of house cost

Value of home = 300,000  

Loan = 80%*300,000 = 240000

Monthly installments = -PMT(N, I/Y, Loan)

Monthly installments = -PMT(4.5%/12,15*12,240000)

Monthly installments = $1,835.98

 

Total repayment over 180 months  $330,477.10  

Less: Loan value                               $240,000

Finance Charges                              $90,477.10

The total amount of finance charges is $90,500 when Ron wants the minimum LTV (loan to value) to avoid PMI (partial molar volume).

Option B is correct.

What are finance charges?

Finance charges are the number of fees that are charged for the use of money or for the expansion of the existing credit.

It may be a percentage of borrowing or also may be flat-free, but it is also computed on the basis of a percentage.

Computation of finance charges:

According to the given information,

Minimum LTV to avoid PMI = 80% of house cost.

Home's value = 300,000  

Then, the total amount of the loan is:

[tex]\text{Loan} =\text{Minimum LTV Rate} \times \text{Value of Home}\\\text{Loan} =80\% \times \$300,000\\ \text{Loan} = \$240,000[/tex]

Now, the monthly repayment installments are:

[tex]\text{Monthly Installments} = \rm{PMT(\dfrac{N}{12} \times {I}\times{Y} \times Loan)}\\\\\text{Monthly Installments} =\text{PMT}( \dfrac{4.5\%}{12}\times \dfrac{15\%}{12}\times \$240,000)\\\\}\\\text{Monthly Installments} =\$1,835.98[/tex]

Total repayment over 180 months:

[tex]=\text{Monthly Payments} \times 180 {\text{Months}}\\=\$1,835.98 \times 180\\= \$330,477.10[/tex]

Then the finance charges will be:

[tex]\text{Finance Charges} = \text{Total Repayment - Loan Amount}\\\text{Finance Charges} =\$330,477.10 - \$240,000\\\text{Finance Charges} = \$90,477.10[/tex]

Therefore, option B is correct.

Learn more about the finance charge, refer to:

https://brainly.com/question/298229