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John wants to buy a property for $105,000 and wants an 80% loan. The lender indi

ID: 2722654 • Letter: J

Question

John wants to buy a property for $105,000 and wants an 80% loan. The lender indicates that a fully amortizing loan can be obtained for 30 years at 12% MEY, with loan origination fees (all lender controlled fees) of $3,500.

[1] How much will the lender actually disburse?

[3] What is the effective interest cost to the borrower, assuming that the mortgage is paid off after 30 years?

[2] If John pays off the loan after 5 years, what is the effective interest charge? Why is it different from the APR in b?

[2] Assume the lender also imposes a prepayment penalty of 2% of the outstanding balance if the loan is repaid within the first 8 years of closing. What is the effective cost of the loan if John repays after 5 years?

Explanation / Answer

$

Value of Property

       1,05,000

Loan

80%

Loan amount

           84,000

loan origination fees

3500

1.disburse amount

           80,500

Repayment

30 yrs

Rate of Interest

12%

p.a.

Repayment amount

       3,86,400

(84000X 12% x 30)+84000

2.Interest cost

302500

Now repayment

5 yrs

3.interest amount

           50,400

(84000X 12% x 5)

2.balance after 5 yrs

322000

386400-386400X5/30

prepayment Int

2%

Interest

6440

cost of loan for prepayment

56840

50400+6440

$

Value of Property

       1,05,000

Loan

80%

Loan amount

           84,000

loan origination fees

3500

1.disburse amount

           80,500

Repayment

30 yrs

Rate of Interest

12%

p.a.

Repayment amount

       3,86,400

(84000X 12% x 30)+84000

2.Interest cost

302500

Now repayment

5 yrs

3.interest amount

           50,400

(84000X 12% x 5)

2.balance after 5 yrs

322000

386400-386400X5/30

prepayment Int

2%

Interest

6440

cost of loan for prepayment

56840

50400+6440

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