John wants to buy a property for $105,000 and wants an 80% loan. The lender indi
ID: 2722358 • 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. a. How much will the lender actually disburse? b. What is the effective interest cost to the borrower, assuming that the mortgage is paid off after 30 years? c. If John pays off the loan after 5 years, what is the effective interest charge? Why is it different from the APR in b? d. 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
A How much will the lender actually disburse? 84000-3500 80500 B Monthly Payment 84000/(PVIFA1% ,12*30) =84000/97.21833 864.03 Effective Interets Rate i/m Using Excel Rate funtion =Rate(360,864.03,-80500) 1.048189% Effective Interets Rate I 1.0482*12 12.58% C Carrying Value Of loan At the 5 th year =PV(1%,300,864.03,0,0) 82037.1 PV of Loan 80500 Effective Interets Rate =RATE(12*5,864.03,-80500,82037.1) 1.10% Effective Interets Rate I =1.10*12 13.15% D Carrying Value Of loan At the 5 th year =PV(1%,300,864.03,0,0)*1.02 2% of Penalty 83678 PV of Loan 80500 Effective Interets Rate =RATE(12*5,864.03,-80500,82037.1) 1.12% Effective Interets Rate I =1.12*12 13.44%
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