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A lender is prepared to provide a loan to borrower Beckie, but would like to use an original fee to ensure a lender's yield of

A lender is prepared to provide a loan to borrower Beckie, but would like to use an original fee to ensure a lender's yield of 5.3%. Beckie's home costs $650,000. The lender will provide an 80%, 30 year, fully amortizing loan, with monthly payments, and an interest rate of 4.5%. How much should the origination fee be if the lender knows that Beckie will only stay in the home for 20 years?

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