A person was considering buying a house priced at $$350,000.$ A mortgage company claimed the interest rate for the $20-$year loan is $6\mathrm{.}25\%.$ The company also estimated that the points and Appraisal, Credit Report, Processing, Document Preparation, Administration, Underwriting, Flood Certificate, Tax Service, Wire Transfer, and other fees would be $$15,000$ in total.

Part $1$:

What would be the monthly payment, if the person decided to borrow $80\%$ of the cost of the house and $100\%$ of the processing fees?

Group of answer choices

$$2,156\mathrm{.}24$

$$2,667\mathrm{.}89$

None of them

$$2,046\mathrm{.}60$

$$2,186\mathrm{.}99$

Part $2$:

What is the APR of the loan?

Group of answer choices

$6\mathrm{.}91\%$

None of them

$6\mathrm{.}25\%$

$7\mathrm{.}14\%$

$6\mathrm{.}43\%$

Part $3$:

If the person accepts the terms of the loan on Feb. $29,2016,$ the first monthly payment is due on March $31.$ How much mortgage would have been paid off after the payment on January $31,2021?$

Group of answer choices

$$252,321\mathrm{.}04$

$$42,678\mathrm{.}96$

None of them

$$43,521\mathrm{.}03$

$$53,039\mathrm{.}89$

Part $4$:

If the person accepts the terms of the loan on Feb. $29,2016,$ the first monthly payment is due on March $31.$ How much interest charge could this person claim for deduction in the $2020$ Tax Return, i$.$e$.$ the total interest occur during year $2020?$

Group of answer choices

$$6,725\mathrm{.}81$

$$25,874\mathrm{.}86$

$$20,393\mathrm{.}34$

$$16,154\mathrm{.}63$

None of them