Show Guide Chapters
- Terminology and Calculations for Mortgage-Backed Securities
- Appendix 1: Notation
- Appendix 2: Old Annualizing Formula
- Appendix 3: Appropriateness of PPR and LQR
- Appendix 4: Penalty Interest Payments in PCBOND
- Calculating MBS Cash Flows
- Calculating Prepayment Rates
- Miscellaneous Formulas
- Price Calculations
- Risk Measures
- Total Prepayment (UPP)
- Tranche Payments
Full price per $100
The full price of the MBS, assuming a single tranche that repays at time M, is calculated:
[11]
where
a= | Number of days from settlement to the 15th of next month Number of days in the settlement month |
Accrued interest per $100
Accrued interest per $100 is calculated:
[12]
where
d= | Number of days from 1st of settlement month to settlement date Number of days in settlement month |
c=monthly MBS coupon
Market price per $100
The market price is simply the full MBS price less accrued interest:
P=FP - AI [13]