Answer:
1. The origination fee that the lender should charge if Rich will repay the loan after 25 years = $20,000 approximately.
2. The origination fee that the lender should charge if Rich will repay the loan after 10 years = $6,600 approximately.
Explanation:
a) Data and Calculations:
Amount requested by Rich = $100,000
Amount the bank is willing to lend Rich = $95,000
Interest rate = 9%
Period of loan = 25 years or 10 years
From an online finance calculator:
At 10% interest rate:
PMT = $-10,465.97
Sum of all periodic payments = $-261,649.17
Total Interest = $166,649.17
At 9% interest rate:
PMT = $-9,671.59
Sum of all periodic payments = $-241,789.84
Total Interest = $146,789.84
Expected Origination Fee:
Interest at 10% = $166,649.17
Interest at 9% = $146,789.84
Required origination fee = $19,859.32 ($166,649.17 - $146,789.84)
This is equivalent to $20,000
Payment after 10 years:
At 10% interest rate:
PMT = $-15,460.81
Sum of all periodic payments = $-154,608.13
Total Interest = $59,608.13
At 9% interest rate:
PMT = $-14,802.91
Sum of all periodic payments = $-148,029.09
Total Interest = $53,029.09
Expected Origination Fee:
Interest at 10% = $59,608.13
Interest at 9% = $53,029.09
Required origination fee = $6,579.04 or $6,600 ($59,608.13 - $53,029.09)
