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Problem:

Some lenders charge an up-front fee on a loan, which is subtracted from what the borrower receives. This is typically described as "points" (where one point equals 1% of the loan amount). The federal government requires that this be accounted for in the APR that discloses the loan's cost.

Required:

(a) A 30-year mortgage for $220000 has monthly payments at a 6% nominal annual rate. If a borrower's loan origination fee is 3% (3 points) and it is added to the initial balance, what is the true effective cost of the loan? What would the APR be?

Explain comprehensively and also provide formulas and calculations.

Basic Finance, Finance

  • Category:- Basic Finance
  • Reference No.:- M91147281

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