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BOA originates 1000 Fully Amortizing Fixed Rate Mortgages, each has a $100,000 balance, 6.5% interest rate...

BOA originates 1000 Fully Amortizing Fixed Rate Mortgages, each has a $100,000 balance, 6.5% interest rate (no fees), 30 year term, and annual payments. BOA immediately issues IO and PO strips backed by the pool of these mortgages and sells them to investors who discount payoffs at 5.5%.

7. What profits does BOA make immediately?

Payment = 7657.74,

Price per mortgage = 7657.74/.055 * (1 – 1.055^30) = 111295.70, <------- I do not understand how they are getting this number because (1 – 1.055^30) is a negative number. Would someone be able to clarify?

Profits per mortgage = 111295.70 – 100000 = 11295.70, profits from the pool = 1000 * 11295.70 = 11,295,700

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Answer #1

Thee is a typo

Instead of 7657.74/.055 * (1 – 1.055^30)

It should be
=7657.74/0.055*(1–1/1.055^30)= 111295.70

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