1.A lender wants an EY of 4.00% and expects an average loan payoff in 7 years.However, a particular borrower wants to borrow $400,000 for 30 years at 3.20%, compounded monthly.First, without charging a prepayment penalty, how many discount points must the lender charge to have an EY of 4%.Assume no other fees to close the loan other than discount points.Second, without charging discount points, how much of a prepayment penalty (in terms of dollars) will the lender need to charge to have an EY of 4%.

EY= effective yield

Discount points are equal to 1% of the loan value.

interest rates are calculated at .032/12 and .04/12 (not 3.20% or 4% monthly compounding)

Pre-payment penalty will be the difference between 3.20% and 4%