What is Option-Adjusted Spread?

There are different interest rates used for different transactions in the financial market. One popular rate is option-adjusted spread(OAS).

Owais Siddiqui
27 Oct 2022
2 min read
Updated

The option-adjusted spread (OAS) is a measure used in fixed income to compare bonds that contain embedded options — such as the right of the issuer to repay early. It strips out the effect of those options to reveal the bond's "true" spread, allowing fairer comparison. This guide explains what the option-adjusted spread is, why it's needed, how it works, and why it matters — in plain language. It builds on fixed-income ideas like duration and convexity, and is a relevant topic in qualifications like the FRM.

First, what is a spread?

In bond markets, a spread is the extra yield a bond offers over a risk-free benchmark (such as government bonds), compensating investors for the additional risk — chiefly credit risk. A wider spread means more extra yield (and usually more risk). Comparing spreads is a standard way to judge whether a bond offers good value relative to others. The complication comes when a bond has an embedded option.

The problem: embedded options

Some bonds contain options that can change their cash flows. The most common is a callable bond, where the issuer has the right to repay (call) the bond early — typically when interest rates fall, so they can refinance more cheaply. This embedded option is valuable to the issuer and disadvantageous to the investor, who may have their high-yielding bond repaid just when they'd least want it. Because the option affects the bond's likely cash flows and value, a simple spread comparison between a bond with an embedded option and one without is misleading — you'd be comparing apples with oranges.

What the option-adjusted spread does

The option-adjusted spread solves this by removing the value of the embedded option from the spread calculation. It uses a model that accounts for the different paths interest rates might take, and the likelihood the option is exercised along each path, to work out the spread after adjusting for the option. The result — the OAS — represents the spread you'd be earning purely for credit and other risks, excluding the effect of the optionality. This makes it possible to compare bonds with and without embedded options on a genuinely like-for-like basis. In effect, OAS answers: "what's the spread once we account for the option the issuer (or holder) has?"

OAS vs other spread measures

It helps to see where OAS sits among related measures. The nominal spread is the simple difference in yield over a benchmark, ignoring optionality entirely. The Z-spread is a more refined static spread but still doesn't account for embedded options. The option-adjusted spread goes one step further, removing the option's value — so for an option-free bond, the OAS and Z-spread are essentially the same, but for a bond with an embedded option they diverge, and the gap between them is, in effect, the cost of the option. That is exactly why OAS is the right measure to use whenever optionality is present.

Why the option-adjusted spread matters

OAS matters because embedded options are common in fixed income — in callable corporate bonds, mortgage-backed securities and others — and ignoring them leads to poor comparisons and mispricing. By giving an option-adjusted, like-for-like measure of spread, OAS lets investors and analysts judge relative value accurately, identify which bonds genuinely offer better compensation for risk, and avoid being misled by yields that are inflated by optionality they may not benefit from. It's a more sophisticated and reliable measure than a raw spread for any bond with embedded options.

Why it matters for finance professionals

For anyone in fixed income, the option-adjusted spread is an important tool. It reflects the reality that many bonds carry embedded options that materially affect their value, and it provides the means to compare them fairly. Understanding what OAS represents — and why a raw spread can mislead — is fundamental to sound bond analysis and a relevant topic in professional risk and investment qualifications.

Frequently asked questions

What is the option-adjusted spread?

A measure of a bond's spread over a benchmark that removes the effect of any embedded option (such as a call feature), giving a like-for-like measure of the spread earned for credit and other risks.

Why is the option-adjusted spread needed?

Because bonds with embedded options (like callable bonds) have cash flows that can change, a raw spread comparison with option-free bonds is misleading. OAS strips out the option's effect for fair comparison.

What is a callable bond?

A bond the issuer can repay (call) early, typically when interest rates fall so they can refinance more cheaply. The call option benefits the issuer and disadvantages the investor, which OAS accounts for.

How does OAS differ from the Z-spread?

The Z-spread doesn't account for embedded options; OAS removes the option's value. For an option-free bond they're essentially equal, but for a bond with an option they differ — the gap reflecting the option's cost.

Build your fixed-income skills with Learnsignal

The option-adjusted spread is a key tool in bond analysis. Learnsignal's tutor-led courses, including the FRM, develop the fixed-income and risk understanding that topics like this build on — with clear teaching that connects theory to real markets.

This page was last updated:

Owais Siddiqui

Expert Tutor at Learnsignal

Qualified professional with years of experience in teaching and helping students achieve their accounting qualifications.

View all posts by Owais Siddiqui

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