Bond Duration and Convexity Simplified – Part 1 of...While analyzing bonds, it is important to apply the concepts of duration and convexity. Duration has...

Lessons

- Collateralized Mortgage Obligations (CMO) and CMO Tranches
- Stripped MBS – Interest Only (IO) and Principal Only (PO)
- Residential Non-Agency MBS
- CMBS: Structure and Call Protection
- Amortizing Loans vs. Non-Amortizing Loans
- Overview of Asset Backed Securities (ABS)
- Internal and External Credit Enhancements
- Pay-through Structures: Prepayment Tranching vs. Credit Tranching
- Home Equity Loans (HEL) Backed Securities
- Manufactured Housing Backed Loans
- Auto Loans Backed Securities
- Student Loan Backed Securities (SLABS)
- SBA Loan Backed Securities
- Credit Card Receivable Backed Securities
- Collateralized Debt Obligations (CDOs) and Synthetic CDOs
- Cash Flow Yield, Nominal Spread, and Zero Volatility Spread for ABS/MBS
- Monte Carlo Simulation for ABS/MBS
- CFA Level 2: Fixed Income Part 2 – Introduction
- Duration and Convexity for ABS/MBS
- Mortgage Cash Flow Characteristics
- Choosing an Appropriate Spread for ABS/MBS
- Mortgage Pass-through Securities: Characteristics and Risks
- Cash Flows and Prepayment Risk
- Single Monthly Mortality (SMM) & Conditional Prepayment Rate (CPR)
- PSA Prepayment Benchmark

# Duration and Convexity for ABS/MBS

Effective Duration and Convexity for ABS/MBS are calculated with the same formulas as those used for bonds valued with a binomial interest rate tree model (see the notes at the beginning of the module).

Different ABS/MBS security dealers may calculate different effective durations because:

- Different dealers may use different interest rate changes in the calculation (i.e. not all dealers may use the standard 100 basis points/1%).
- Different dealers may use different prepayment assumptions in valuing the ABS/MBS.
- Different dealers may use different interest rate paths and interest rate volatility.

**Various Duration Measures for MBS**

**Cash Flow Duration:**This is the same as effective duration. The problem with this measure is that the effect of changes in prepayment rates is not fully captured, which may change due to changes in cash flow yield. It assumes one prepayment rate throughout the life of the MBS.**Modified Duration:**Modified duration indicates the percentage change in the price of a bond for a given change in yield. It is a more adjusted measure of Macaulay duration that produces a more accurate estimate of bond price sensitivity. This less accurate than cash flow duration because modified duration does not consider how prepayments may change. Cash flow duration, on the other hand, does recognize prepayments, even though with a very simple assumption. Duration is obtained by rolling up and rolling down the coupon, as the price changes.**Coupon Curve Duration:**In this method, the market prices are used to calculate the duration of the MBS. The coupon curve is the curve of various MBS with different coupons and prices. You will generally take different MBS from an issuer with different coupon rates.**Empirical Duration:**It does not use any theoretical formula, rather uses historical pricing data for calculating duration.

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