- Option adjusted spread
Option adjusted spread (OAS) is the flat spread over the treasury
yield curverequired to discounta security payment to match its market price. This concept can be applied to mortgage-backed security(MBS), Options, Bonds and any other interest-rate Derivative.
In contrast to the simple "
yield curve spread" measurement of bond premium over a "pre-determined" cash-flow model, the OAS describes the market premium over a model including two types of volatility:
Designing such models in the first place is complicated because prepayment variations are a
behaviouralfunction of the stochasticinterest rate. (They tend to go up as interest rates come down.)
OAS is an emerging term with fluid use across MBS
finance. The definition here is based on Lakhbir Hayre's "Mortgage Backed Securities" text book. Other definitions are rough analogs:
expected value(mean NPV) across the range of all possible rate scenarios when discounting each scenario's "actual cash flows" with the treasury yield curve plus a spread, "X". The OAS is defined as the value of "X" equating the market price of the MBS to its value in this theoretical framework.
Treasury bonds may not be available with maturities exactly matching likely cash flow payments so some
interpolationmay be necessary to make this calculation.
The word 'Option' in Option adjusted spread relates to the "right" of property owners, whose mortgages back the MBS, to prepay the full mortgage amount. Since
mortgage-payers will only tend to exercise this right when it is favourable for them and unfavourable for the bond-holder, buying an MBS partly involves selling an option. This is the source of the option adjusted spread (OAS).
Since prepayments rise as
interest rates fall and vice versa the basic (pass-through) MBS has negative bond convexity(second derivative of price over yield). The MBS-holder's exposure to property-owner prepayment has several names:
*extension or contraction risk
reinvestment risk( Lakhbir Hayre's term)
This difference in convexity can also be used to explain the price differential from an MBS to a treasury bond. However, the OAS-figure is typically preferred. The discussion of the "negative convexity" and "option adjusted spread" on a bond is essentially a discussion of a single MBS feature (prepayment risk) measured in different ways.
Convertible bonds must pay a similar increased yield (over the standard corporate bond) when they are callable by the issuing company.
*Monte Carlo techniques are used to derive the Option adjusted spread.
2001, "Salomon Smith Barney Guide to Mortgage-Backed and Asset-Backed Securities", Wiley ISBN 0-471-38587-5
2006, "Options, Futures and Other Derivatives", Pearson ISBN 0-13-149908-4
* [http://www.ordering1.us/bloombergbooks/product.php?sid=1&ccamp=RETAIL&pid=267 Introduction to Option-Adjusted Spread Analysis] (ISBN 978-157660-241-6, Bloomberg Press, 2007)
* [http://rmtf.soa.org/option_spread.pdf The Society of Actuaries review of the application of OAS to insurance, and other option adjustments]
* [http://www.belkcollege.uncc.edu/buttimer/MBAD%206160/Mortgage%20Backed%20Securities%20-%20Advanced%20Pricing%20and%20OAS%20Analysis.ppt OAS analysis using Monte Carlo with many power point examples] (Deals with implying the OAS from the bond market prices. Estimate of minimum OAS = 150 basis points.)
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