We talk a lot about high yield bonds, but how well do you understand how they fit into a portfolio?
![stonehenge stonehenge](https://thewire.blob.core.windows.net/web/images/default-source/default-album/stonehenge.png?sfvrsn=f891b75a_0)
Investing in companies – two options, same company
The starting point is to understand what you are investing in. A high yield corporate bond, just like any other bond, is a legal obligation. It is an obligation of that company to pay the holder of the bond (the investor) regular interest payments and the principal at maturity, typically a fixed amount of $100 per bond. The company must pay those interest payments and the principal before shareholders receive anything.
Corporate bonds are lower risk than equities in the same company and offer lower returns because they are a legal obligation. Further, in the event of a wind up, bondholders are due to be repaid before equity investors. Bonds sit higher in the capital structure, as shown in Figure 1.
![](data:image/png;base64,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)
Figure 1
Source: FIIG Securities
Little if any upside from corporate bonds
The strongest argument for owning equities is that they are a growth investment – whereas bonds, other than if you trade them for a profit, are a nil growth/all income investment. Almost every investor needs growth in their portfolio, so equities almost always play an important role.
More downside from equities
Conversely, as corporate bonds are an obligation of the company, when investors get nervous such as in a market correction, share prices tend to fall further than corporate bond prices. For example, in the 2000 equities market correction, equity markets peaked on 9 January 2000 and then declined 47% by February 2002, 25 months later. High yield corporate bonds started their fall later in March 2001, and fell 13.1% over 19 months.
Equities take longer to recover
During that same correction, equities took four years to recover (2006) while high yield corporate bonds took just five months (2003).
In the largest correction on record – the GFC – high yield corporate bonds fell 35% in 19 months from May 2007 to December 2008, but again took just eight months to recover (April 2009). Equities, on the other hand, fell 55% from October 2007 to January 2009 but took 37 months to recover (February 2012).
High yield corporate bonds are a blend of equity risk and bond risk
All bonds – whether corporate bonds or otherwise – have an inverse relationship between credit spread and their price. Unlike government bonds, corporate bonds are driven by two market yields – the risk free government bond yield and the margin the market demands for the corporate risk, known as “credit spread”. The credit spread is highly correlated to equity market moves. When equity markets are falling, investors demand more credit spread, and vice versa.
For example, if high yield Sunland 2020 bonds are paying 6.21% yield to worst, the market prices that bond by looking at what the risk free (government) yield is for the same maturity (currently 1.70%) and then considers the 4.51% difference (6.21% less 1.70%) as the “credit spread” or the margin paid for the corporate risk of Sunland. This is illustrated in Figure 2.
![](data:image/png;base64,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)
Figure 2
Source: FIIG Securities
Credit spread yield to worst accurate as of 4 April 2017 but subject to change
All bonds listed are senior debt
Here’s where the hedge comes in. In the event that equity markets fall sharply, credit spreads typically rise as the market demands more margin for the corporate risk. All other things being equal, this would push the price of any given corporate bond downwards. However, when equity markets fall, typically government bond yields will fall too, meaning the price of government bonds will rise. Therefore, one part of the high yield corporate bond has declined in value (the credit spread part) but the other has risen (the risk free bond part).
Where the credit spread component is larger than the risk free component, as shown in the Qantas example, a corporate bond will still fall in value, but its decline will be greatly hedged by the risk free component. In fact, for lower risk corporate bonds, that is investment grade corporate bonds such as the senior bonds of ANZ, the credit spread is much smaller, so the value tends to rise in a falling equity market as the risk free component outweighs the credit spread component.
Confused? Let’s try that in numbers
As shown in Figure 3, in almost all of the major rises or falls in bond yields over the past 15 years, credit spreads have moved in the opposite direction. The major exceptions were the bull market days of 2006 when the Federal Reserve was slow in applying the brakes to the overheating US economy, but the credit market had already started to demand more margin; and 2010 when Quantitative Easing distorted normal relationships. In each other market, you can see how the inverse relationship between bond yields and credit spreads would have created a hedge which reduces the change in the yield – and therefore the price – of a high yield corporate bond.
Largest bond yield movements – past 15 years
![](data:image/png;base64,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)
Figure 3
Source: Federal Reserve Economic Database
Conclusion
Companies use both corporate bonds and equities for funding operations and interest and dividends are paid from company earnings. Corporate bondholders must be paid from gross earnings prior to any dividends, and their capital must be repaid at maturity. In contrast, equity holders have no legal rights to any payments, but own the balance of the company once all debtors are paid out.
The risk that shareholders face is that the company doesn’t increase earnings enough to pay debtors off and have some left over for shareholders. The risk that corporate bondholders face is the risk that the company doesn’t even earn enough to pay bondholders.
Ultimately, both investments represent an exposure to the same part of the economy – the corporate sector.
As shown in this paper, high yield corporate bonds tend to perform like a mix of equities and bonds. Risk is buffered by the offsetting movements in bond yields that typically occur in such environments.