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You have a loan with the following prepayment penalty schedule: Prepay within 1 year: Penalty=5% of outstanding balance Prepay after 1 full year but before

You have a loan with the following prepayment penalty schedule: Prepay within 1 year: Penalty=5% of outstanding balance Prepay after 1 full year but before the beginning of 3rd year: Penalty=4% of outstanding balance Prepay after 2 full years but before the beginning of 4th year: Penalty=3% of outstanding balance Prepay after 3 full years but before the beginning of 5th year: Penalty=2% of outstanding balance Prepay after 4 full years but before the beginning of 6th year : Penalty=1% of outstanding balance You take out a loan with this prepayment penalty schedule for $10,000,000 to finance a commercial property. The loan is a 10 year FRM with a $5,000,000 balloon payment, no upfront fees or points, and a 5% rate. You make regularly scheduled payments, but are thinking of prepaying the loan because market interest rates have dropped since origination. How much larger (in dollars, rounded to the nearest cent) would the prepayment penalty be if you repaid the loan after making 20 payments than if you waited until after you made 30 payments? (Hint: calculate payment on this loan, then calculate prepayment penalty under either scenario and take the difference)

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