This is the second post in a series on duration matching. The first post covered an introduction to duration, what duration matching is, and why we might want to use it.
The key idea of duration matching is that we can eliminate interest rate risk by matching our bonds’ duration to our investment horizon. If we have a short time horizon, we buy short duration bonds. If we have a long horizon, we buy long duration bonds.
Now, long duration bonds aren’t a particularly popular investment. Like inflation-linked bonds, they tend to get overlooked – and I can understand why.
Bonds are usually viewed as the ‘safe’ part of a portfolio. But because of their longer duration, long-term bonds do come with higher volatility. And that’s not what most fixed income investors are after. But for those long-term investors who adopt a duration matching approach to their bond allocation and understand that volatility isn’t the same thing as risk, long-duration bonds are actually less risky than short-duration bonds. Although they do have a higher volatility, they eliminate interest rate risk for the investor.
And they can not only eliminate interest rate risk, but they can do so while increasing diversification and increasing returns.
Let’s see how.
More diversification, more returns
Long-term bonds can not only help in reducing your interest rate risk, they can also help improve a portfolio’s risk-adjusted returns by 1) increasing returns from the higher yields of long-term bonds, and 2) providing a better diversifier to your equities than short-term bonds.
On point 1), intermediate-term bonds generally have lower expected returns than long-duration bonds, due to their lower yields. Investors in long-duration bonds are compensated for taking on the extra interest rate risk in the form of higher yields. Because of their higher yields, long-duration bonds should outperform short duration bonds in the long run.
This does depend on the shape of the yield curve, though, and there are some circumstances where, when the yield curve looks particularly flat, there’s not much extra yield to be found by reaching far out onto the yield curve. When the yield curve inverts (which is rarely), the yields on intermediate-term bonds can even be higher than the yields on long-term bonds.
This situations are rare, though, and any attempt to profit from them would require successful market timing, which we all know doesn’t work consistently. In a normal upward sloping yield curve environment, longer-dated bonds are likely to outperform over the long run.
On point 2), it’s worth making a distinction at this point between de-risking a portfolio and diversifying a portfolio.
It’s very possible to lower the volatility of a portfolio merely by allocating more to cash or very short-term bonds. That’s called de-risking.
Diversifying means adding something to the portfolio which goes up when your stocks go down. Cash and short-term bonds don’t really do that (at least not very much) – they merely reduce the impact of the drawdown by not falling as much, rather than producing meaningfully positive returns during crashes.
The traditional “bonds are for safety” approach (owning only short-term bonds) pushes all the risk onto a single source like the equity risk premium instead of diversifying it across the equity risk premium and the fixed income term/duration premium.
A traditional 60/40 portfolio with intermediate-terms bonds has roughly 90% of the portfolio’s risk coming from the equities.
This makes sense. The risk of stocks is roughly three times as high as bonds (15% vs 5%), and the allocation to stocks is 1.5x the bond allocation (60% vs 40%). These two factors combined result in the high contribution of stocks to portfolio risk.
So by replacing the bonds with longer duration bonds, this gives the potential to build a portfolio with higher expected return, similar overall portfolio variance, and higher diversification – only roughly 70% of the portfolio’s risk is now on equities.
The maths of diversification states the best diversifier is one which has the lowest correlation with the rest of the portfolio, and has the highest variance (aka “power”) to counteract the stocks. So by adding lower correlation and higher-variance longer-term bonds, you’re improving diversification. You’re spreading the risk exposure in the portfolio across different independent sources of risk.
Short-duration bond funds are less volatile than long-duration bond funds, so are less able to provide the oomf necessary to act as a strong diversifier.
So in theory long-duration bonds should provide us with higher returns, and lower risk.
But that’s in theory. Let’s see how it looks in practice.
Taking a look
The chart below shows the returns of a 60/40 portfolio at differing levels of bond duration:
Source: Bloomberg. Equities are the MSCI World TR (GBP). Long duration bonds are the Bloomberg UK Govt 15+ Years Float adjusted TR Index (the benchmark for Vanguard UK Long Duration Gilt Index Fund). Medium duration bonds are the FTSE Actuaries UK Gilts TR Index (the benchmark for IGLT). Short duration bonds are the FTSE Actuaries UK Gilts up to 5 Years Index (the benchmark for GIL5).
And some high-level stats:
Starting at the low-duration end, both short duration bonds and cash had almost identical returns, volatility and maximum drawdowns. Which is what we’d expect. Cash, with a duration of zero, shouldn’t be much different from short-term bonds with a duration of 2 years. There was very little added benefit from using short-term bonds over cash.
But by adding more volatile and lower-correlation long-duration bonds, the portfolio was able to increase returns with only slightly higher levels of risk – and without increasing the maximum drawdowns.
Now let’s dig into that drawdown point for a second, because it’s an important and interesting one.
Equity market drawdowns are the crucial time for bonds, because it’s during these periods when you want your diversifiers to be doing their job. Nobody really cares about correlations when equities are doing well. When equity markets sell off is when 1) we’re paying the most attention to our portfolio, and 2) we’re most likely to bail out of whatever’s performing poorly. So the better a diversifier is able to reduce our portfolio’s drawdowns, the more valuable that diversifier becomes.
When we vary the bond durations of our 60/40 portfolio, based on what we’ve seen so far we’d expect to see two things: 1) short-term bonds and cash providing similar levels of drawdown protection, and 2) long-duration bonds (hopefully) providing the biggest benefit.
Here’s the drawdown chart from our previous example:
Without looking at the legend, I’d have a hard time telling you which is which. All four options look pretty similar.
Here’s the table, which puts some numbers to it (I’ve also included the dot-com crash, which we don’t have short-duration bond data for):
So our first intuition looks correct. Cash and short-duration bonds performed extremely similarly during every crash – there was never more than 2% difference in the portfolio’s drawdown. They didn’t have a strong enough dose of volatility and negative correlation – both short-term bonds and cash both worked simply by brute-force risk dilution.
Our second intuition looks generally OK too. Longer-duration bonds provided superior diversification to cash/short-duration bonds during 4 of the 6 crashes (the 4 most recent ones), they were about the same during the 2008 housing crisis, and were marginally weaker during the dot-com bust.
Annoyingly the index for short-duration bonds only goes back to 2004ish, and the other bond indices back to 1999. But we can turn to our brethren in the US to get another 7 years of data, going back to 1992.
Using data from Portfolio Visualizer (sorry, it’s an American site), we can plot returns for 3 portfolios going back to the 90s.
Portfolio 1 is 60% US market, 40% cash
Portfolio 2 is 60% US market, 40% short-term treasuries
Portfolio 3 is 60% US market, 40% long-term treasuries
Again, there’s very little difference between cash and short-term bonds. And adding long-term bonds greatly enhanced returns while only slightly increasing risk – a 2% per year increase in return for a 0.2% increase in risk, and a lower maximum drawdown (-27% for long-duration bonds vs -32% for cash).
Drilling into the drawdown statistics, the picture in the US looks similar to what we found in the UK – long-term bonds reduced the portfolio’s drawdowns in 4 out of the 5 last market crashes:
And although we don’t have long-duration bond data in the US going back further than early 1990s, we do have 10-year US bond data going back to 1929. And by comparing the drawdowns of a 60/40 portfolio using 10-year bonds to a 60/40 portfolio using cash, we get a similar picture in favour of using longer-duration bonds:
The data going back to 1929 encompasses a whole bunch of different interest rate and correlation regimes, and it still shows a similar picture. The differences in drawdowns aren’t particularly large between using cash vs 10-year bonds as a diversifier.
And over that time, goes without saying that the 60/40 portfolio with 10-year bonds easily outperformed the 60/40 portfolio with cash (8.3% returns for the 60/40 with bonds, 7.7% for the 60/40 with cash). Using even longer-dated bonds than the 10-year in this example would’ve obviously provided even higher returns.
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Before we wrap up, it’s worth remembering long-duration bonds aren’t perfect.
As standalone funds, they have higher volatilities than shorter-term bonds. We’ll get a bit more into the behavioural risks of owning long-term bond funds in a later post on the drawbacks of duration-matching. But it’s important to bear in mind that longer-term bonds may be more difficult to stick with if you focus on the risk/drawdown characteristics of individual holdings rather than the overall portfolio. Long-duration bonds might reduce the drawdowns of the overall portfolio, but the funds themselves have larger drawdowns than their shorter-term bond equivalents.
So they’re still not for those who don’t like seeing red numbers on their valuations.
They can also appear unattractive when their yields aren’t much better (or are even below) those on offer from intermediate/short-term bonds. Why take the risk of long-term bonds when you can get a similar yield from shorter-term, safer bonds?
Well, as we saw in the last post, if your bond duration is roughly equal to your investment horizon, then long-duration bonds aren’t riskier. In fact, by owning “safer” bonds with a duration shorter than your investment horizon, you’re actually increasing risk.
So I don’t think we should be afraid of long-duration bonds.
For those who utilise long-duration bonds, either as part of a specific duration-matching strategy, or simply as a diversifier in a long-term portfolio, they look like they can be a useful addition.
Not only can they substantially reduce your interest rate risk, but they come with the added benefits of being able to reduce drawdowns and increase long-term returns. Granted, the drawdown-reduction benefit over shorter-term bonds isn’t guaranteed, but history suggests the odds are good. In the instances where the drawdown-reduction benefit wasn’t better than shorter-term bonds, it was only marginally worse. And given their much higher long-term returns, it looks like a pretty good trade to me.
Hi Occam,
I suspect your great bond resources are in ever-increasing demand at the moment. I’d be very interested in your take on the opportunities in the current (I think fair to say) historic bond landscape.
At the time of writing, the Vanguard UK long duration gilt index fund is 51% down from its highs. 51%! I find that astonishing. Excluding coupons it’s back to where it was roughly 10 years ago.
Would also be interested to know whether these changes have at all piqued your interest in investing in bonds either as part of your long term portfolio or as part of any active investing strategy?
Hi Far_Wide, first of all apologies for this incredibly slow reply! I’ve recently moved employers, as well as moving country – so my life has been rather hectic over the last 6 months and I’m only now getting round to catching up on all things Occam Investing. With today’s current yield environment (which has moved on somewhat since your original reply – sorry!), I’m still happy with my own 100% equity portfolio. Valuations are certainly more attractive than they were this time last year! For those with a bit of fixed income exposure (and who don’t mind a bit of active shenanigans), I’d be more than happy to overweight shorter-duration bonds with the lacklustre yields on offer from the long end of the curve.
Hi Occam, really enjoyed this.
Curious as to what your thoughts are on simply buying a generic UK Gilts fund (e.g. Vanguard’s UK Government Bond Fund) to serve as a diversifier to equities, as it covers all durations.
Would this be both simpler to manage and a ‘best of both worlds’ approach? Or would you effectively be compromising on the benefits of each duration of Gilts and receive an underwhelming performance? If so, would it be better to commit to one path in a portfolio?
I guess I’m asking if you have any clear data on this, or if there is a place where one can find this information and test it?
Thanks, glad you enjoyed it! I answer that exact question in my concluding article, which should be coming out next Wednesday.
Hi Occam,
Good post and reply from Nicholas is valid. However I think we all expect interest rate rises over coming years so yields will rise and bond prices fall. Question seems to be when to buy – how long to wait.
I think bond purchase should be seen through prism of your investing journey – at 30 years old 100% equity is a valid approach with long time recovery and high growth expectations.
Nearer retirement age one assumes you look to dial back volatility and derisk and start to focus on cash out of portfolio vs cash invested in PF solely in growth.
Interesting item on movevator re intermediate bonds 10years vs 20 year bonds and cash to create same duration with less money invested ie 100k on 10y is same as 50k 20y & 50k cash
Questions from me would be
UK or US LT bonds – hedged or non hedged
Nominal or Inflation linked bonds
Inflation prospects – bond yield vs equity investment risk.
Waiting for part 3 🙂
MrBatch
Hi Occam
An interesting topic
Especially trying to apply it to retail investor
As we have discussed before, all reviews of investment performance of long term bonds need to be seen in the light of the major decline in interest rates over the last 40 years
Thus over that period long term bonds have been an outstanding investment, in some years matching or exceeding annual equity performance
One reason for historically holding long term bonds in a 60 40 portolio was that in the event of an equity crash, bonds would hold their nominal value and if interest rates were reduced, as was usually the case in order to combat a recession, would increase in capital value
while it seems unlikely that interest rates will be raised to the levels seen in the 1980s for the foreseeable future – equally I cannot see much scope for long term bond capital increase either through interest rate reduction; thus I cannot see any real reason for the retail investor to purchase long term bonds in the current environment; indeed I would say that there was more risk in owning long term bonds now that there has been for some time
Of course institutions have to match long term liabilities with long term assets and meet numerous regulations about % exposed to equities as do discretionary fund managers and trustees, so there will always be demand for long term bonds, but I struggle to see their attraction for the retail investor at this point
Perhaps your remaining posts will show how they could be used in a portfolio
Hi Nicholas,
Agreed, the decision to own long-term bonds isn’t an easy one – and this post is deliberately only taking one side of the argument.
The question I imagine most investors (including myself) are asking themselves is essentially “Given it’s possible to earn c.1-1.5% on a fixed deposit, why would I bother owning bonds with YTMs at 1.5%? They return only marginally more, but come with more risk. And what’s even worse, the yield curve is inverted after about 10 years, so you’re actually earning less than 1.5% on longer-term, riskier bonds!”
So to figure out an approach, I’d split this question in two: 1) What happens if long-term bonds return only marginally more than shorter-term bonds/cash, and 2) What happens if long-term bonds return less than shorter-term bonds/cash?
1) On the one hand, as I’ve tried to illustrate in this duration-matching series, longer-term bonds aren’t any riskier for longer-term investors. Owning shorter-term bonds is riskier for investors whose time horizon is longer than the fund’s duration, as they’re betting that short-term rates will go up enough soon enough – and stay that way – that rolling over short-term bonds will have you better off than accepting the higher long-term rate which matched your time horizon.
Having said that (and as I’ve noted in my more recent post on the drawbacks of duration-matching), longer-term bonds do come with higher volatility and larger drawdowns than shorter term bonds. And with larger drawdowns comes a higher behavioural risk – the risk that you’ll see a big red number on your valuation and decide to abandon ship.
So the choice of long-term bonds vs shorter-term bonds when long-term bonds only return marginally more than shorter-term bonds I think comes down to the question of how much additional return you demand for the added behavioural risk (but not any actual risk) of owning longer-term bonds.
For some the answer might be “Any”, in which case they’d own longer-term bonds if they yielded only 1 basis point extra. For some it might be percentage points. I don’t think there’s a magic number here, it just comes down to who you are as an investor.
2) This is a different kettle of fish.
The current series of posts (including this one) assume a good ol’ fashioned upward-sloping yield curve. And while we’re in an upward-sloping environment most of the time, this isn’t always the case.
If we have a scenario like today, where you’re earning less on long-term bonds than you are on intermediate-term bonds, then I don’t see why I’d want to own longer-term bonds. I’d be taking on added behavioural risk for a lower return. I’d much rather opt for a shorter-term bond fund (or even cash, if that returned more). Sure, I wouldn’t benefit as much if interest rates fell, but I wouldn’t lose out as much if rates rose. And it won’t make a huge difference either way anyway – most of your portfolio’s risk will still come from stocks.
As a general rule, I’d say it’s reasonable to invest at the highest point of the yield curve up until your target duration. In a regular upward-sloping yield curve environment, the highest point will be equal to your target duration, but this won’t always be the case. This approach does assume that you’re willing to spend a bit of time monitoring yields and re-allocating where necessary though.
To put this all into context, the best advice for 90% of investors is still “Stick it in intermediate-term bonds and forget about it”. If you have any regular stock allocation, say 20-80% stocks, then your portfolio’s risk will be dominated by stocks anyway, and the exact composition of the bond fund will be relatively unimportant.
Duration-matching and adjusting bond allocations based on the yield curve are both more advanced approaches and are unlikely to make or break an investment plan. But for those of us investment nerds who enjoy such things, I still think it’s a useful exercise to consider and adjust portfolios accordingly.
That ended up longer than I thought – perhaps I should turn it into a post!
All the best,
Occam
Hi Occam
thanks for your detailed analysis of the points raised
I don’t think that the yield curve has inverted yet
per UST data from 16 March, 2 yr is 1.95, 10 yr is 2.18 and 30 yr is 2.46, but the differential between 6 month 0.86 and 30 year is hardly conducive to long term investment and 20 yr is slightly higher than 30 yr at 2.56, so there is a small inversion on the long end of the curve
https://home.treasury.gov/resource-center/data-chart-center/interest-rates/TextView?type=daily_treasury_yield_curve&field_tdr_date_value_month=202203
I think there are quite a few other points that should be made about investing in long term bonds, but I am going away for two weeks, so I think I will have to reply to the topic in more detail on my return – by when I expect you will have published further posts on the topic
thanks again for explaining a topic that I had never really considered!
Nicholas
You’re absolutely right – I misread my data! No inversion yet, but looking extremely flat at the long end (so relates to point 1 of my last comment).
Enjoy your holiday! Looking forward to hearing your thoughts when you get back.
All the best,
Occam
Looks like you have same bond charts as portfoliocharts.com
Hmm.
Very likely – Tyler has a great blog and is a regular contributor to the Bogleheads forum!