Question

One hundred identical mortgages are pooled together into a pass-through security. Each mortgage has a $150,000 principal, a fixed annual interest rate of 8 percent (paid monthly), and is fully amortized over a term of 30 years.

What is the present value of the mortgage pass-through if, immediately after origination, interest rates increase to 8.25 percent per annum?

A. $15,000,000.

B. $14,650,591.

C. $14,000,000.

D. $15,115,493.

E. $15,267,549.

Answer

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