Analysis of Mortgage-Backed Securities
Analysis of Mortgage-Backed Securities
c 2013 Prof. Yuh-Dauh Lyuu, National Taiwan University
Page 1090
Oh, well, if you cannot measure, measure anyhow.
-- Frank H. Knight (1885?1972)
c 2013 Prof. Yuh-Dauh Lyuu, National Taiwan University
Page 1091
Uniqueness of MBS
? Compared with other fixed-income securities, the MBS is unique in two respects.
? Its cash flow consists of principal and interest (P&I).
? The cash flow may vary because of prepayments in the underlying mortgages.
c 2013 Prof. Yuh-Dauh Lyuu, National Taiwan University
Page 1092
Time Line
Month 1 Month 2 Month 3 Month 4
-
Time 0 Time 1 Time 2 Time 3 Time 4
? Mortgage payments are paid in arrears. ? A payment for month i occurs at time i, that is, end of
month i.
? The end of a month will be identified with the beginning of the coming month.
c 2013 Prof. Yuh-Dauh Lyuu, National Taiwan University
Page 1093
Cash Flow Analysis
? A traditional mortgage has a fixed term, a fixed interest rate, and a fixed monthly payment.
? Page 1095 illustrates the scheduled P&I for a 30-year, 6% mortgage with an initial balance of $100,000.
? Page 1096 depicts how the remaining principal balance decreases over time.
c 2013 Prof. Yuh-Dauh Lyuu, National Taiwan University
Page 1094
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