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An investor purchases a shopping center for $30,000,000 and is able to borrow 60% of the purchase price at 5% amortizing over 30 years (360

An investor purchases a shopping center for $30,000,000 and is able to borrow 60% of the purchase price at 5% amortizing over 30 years (360 months). The loan will begin amortizing in month 1 as no interest only time frame is contemplated. The loan will mature in 10 years (after month 120). A 1% prepayment penalty will occur if the loan is retired prior to maturity.

  1. What will the monthly payment be?
  2. What percentage of the monthly payment is allocated to interest in month 8 of the loan?
  3. What percentage of the monthly payment is allocated to principal in month 300 of the loan?
  4. After years of ownership, the seller entertains an offer to buy the center. What would the prepayment penalty be if the transaction closed at the end of month 100?
  5. The offer to purchase the center is for $72,000,000. Including the prepayment penalty, what would be the net proceeds be to the seller after sale?

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