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What investments will do well in inflation?

 
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Paul Douglas Boyer



Joined: 07 Mar 2007
Posts: 95
Location: Leesburg, VA

PostPosted: Tue Feb 17, 2009 3:06 am    Post subject: What investments will do well in inflation? Reply with quote

What asset classes correlate closest with inflation (CPI)?

I took the CPI numbers and added them to the correlation matrix (1972-2008) in Simba's backtest portfolio spreadsheet (see below), did a sort, and here is how it turns out:
(1 and -1 means perfect correlation, 0 means no correlation. Note that a negative correlation means the investment goes down when inflation goes up, right? So bet against it in times of inflation. )

Code:

Asset Class       Ticker   Correlation
TBILL              VMPXX  0.63
GOLD               GOLD   0.52
LTGB               VUSTX -0.40
ST Trsry           VFISX  0.28
Commodities      PCRIX  0.25
5 Yr T                VFITX -0.24
Wellesley           VWINX -0.21
Wellington           VWELX -0.16
SCG                 VISGX  0.13
Total Bond           VBMFX -0.12
Small Cap           NAESX  0.11
EAFED              VDMIX -0.10
Europe             VEURX -0.10
Intl Value          VTRIX -0.10
EAFE85/EM15      EAFE/EM -0.09
500 Idx             VFINX -0.09
LCG                  VIGRX -0.07
Total Market US    VTSMX -0.06
Simulated TIPS    S-TIPS  0.06
Pacific              VPACX -0.06
EM                   VEIEX -0.06
LCV                 VIVAX -0.04
SCV                 VISVX  0.04
REIT                VGSIX -0.01
Windsor           VWNDX -0.01
Mid Cap           VIMSX -0.01
Micro Cap         BRSIX  0.00



Is the take away here that if one enters a long period of higher inflation that the asset classes of T-Bills, Gold, and shorting the Long-Term bond would work best? Or might stocks still outperform even though they are not as closely correlated?

Or what else can we take away from these correlation stats as pertains to investment performance?

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haberd



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PostPosted: Tue Feb 17, 2009 3:19 am    Post subject: Reply with quote

Forget the mumbo-jumbo - and don't bet on inflation any time soon.

Stocks generally do well after inflation subsides, as the release of fear lets pent-up valuations catch up to the previous inflation. (See the 1950s and 1980s.) In the shorter term, they don't respond well to unsual inflation, as equity markets don't like uncertainty.
Commodities and cash do well for obvious reasons.
TIPS will probably do well relative to nominal bonds, though prices (not yields) are driven by inflation expectations, not necessarily actual inflation.
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grayfox



Joined: 15 Sep 2007
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Location: Anytown, USA

PostPosted: Tue Feb 17, 2009 4:49 am    Post subject: Reply with quote

Quote:
What asset classes correlate closest with inflation (CPI)?


Very Interesting. On another thread I looked at correlation of various assets to U.S. stocks. Your approach looks superior, i.e. instead of looking at correlation among 30 or 40 different assets with resulting 40x40/2 cross-correlation matrix, just consider the correlation of each asset to something fundamental in the economic cycle. Brilliant!

But you have a funny way of sorting by magnitude only, ignoring the sign. I took the liberty of sorting in descending order so the assets with the most positive correlation are at the top and the most negative are at the bottom.

Code:
Asset Class      Ticker   Correlation
TBILL            VMPXX    0.63         most pos correlation
GOLD             GOLD     0.52
ST Trsry         VFISX    0.28
Commodities      PCRIX    0.25
SCG              VISGX    0.13
Small Cap        NAESX    0.11                /\
Simulated TIPS   S-TIPS   0.06                /\
SCV              VISVX    0.04          more pos correlation
Micro Cap        BRSIX    0.00
                                        Uncorrelated
REIT             VGSIX   -0.01
Windsor          VWNDX   -0.01          more neg correlation
Mid Cap          VIMSX   -0.01                \/
LCV              VIVAX   -0.04                \/
Total Market US  VTSMX   -0.06
Pacific          VPACX   -0.06
EM               VEIEX   -0.06
LCG              VIGRX   -0.07
EAFE85/EM15      EAFE/EM -0.09
500 Idx          VFINX   -0.09
EAFED            VDMIX   -0.10
Europe           VEURX   -0.10
Intl Value       VTRIX   -0.10
Total Bond       VBMFX   -0.12
Wellington       VWELX   -0.16
Wellesley        VWINX   -0.21
5 Yr T           VFITX   -0.24
LTGB             VUSTX   -0.40          most neg correlation


The most positively correlated with CPI-U are TBILL and GOLD, followed by ST Treasuries and commodities. Strangely, the small cap equities are uncorrelated with CPI-U or slightly correlated. Even stranger is TIPS being practically uncorrelated with inflation. Why aren't TIPS +1.00 over the long term?

The most negatively correlated with CPI-U is LT Treasuries. I guess they get killed by inflation, but do well with deflation. Meanwhile all the other equities have only a slightly negative correlation with inflation. You really have to call them uncorrelated with inflation over the long term.

So what do we conclude?
If you expect inflation hold TBILL and GOLD? Forget about TIPS?
If you expect deflation hold LT Treasuries?
What if we have stable prices? Hold stocks?

This is wild stuff.
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grayfox



Joined: 15 Sep 2007
Posts: 1898
Location: Anytown, USA

PostPosted: Tue Feb 17, 2009 6:27 am    Post subject: Reply with quote

If I rather arbitrarily called those assets with magnitude of correlation less than 0.10 "Uncorrelated", then here is the exact same table broken into three tables: Positive, Uncorrelated, Negative. (So Uncorrelated means 10% or less of the return is x-explained by CPI-U.)

Code:
TABLE 1. Positively Correlated with CPI-U
Asset Class      Ticker   Correlation
TBILL            VMPXX    0.63     
GOLD             GOLD     0.52
ST Trsry         VFISX    0.28
Commodities      PCRIX    0.25
SCG              VISGX    0.13
Small Cap        NAESX    0.11


TABLE 2. Uncorrelated with CPI-U
Asset Class      Ticker   Correlation
Simulated TIPS   S-TIPS   0.06
SCV              VISVX    0.04
Micro Cap        BRSIX    0.00
REIT             VGSIX   -0.01
Windsor          VWNDX   -0.01
Mid Cap          VIMSX   -0.01
LCV              VIVAX   -0.04
Total Market US  VTSMX   -0.06
Pacific          VPACX   -0.06
EM               VEIEX   -0.06
LCG              VIGRX   -0.07
EAFE85/EM15      EAFE/EM -0.09
500 Idx          VFINX   -0.09
EAFED            VDMIX   -0.10
Europe           VEURX   -0.10
Intl Value       VTRIX   -0.10


TABLE 3. Negatively Correlated with CPI-U
Asset Class      Ticker   Correlation
Total Bond       VBMFX   -0.12
Wellington       VWELX   -0.16
Wellesley        VWINX   -0.21
5 Yr T           VFITX   -0.24
LTGB             VUSTX   -0.40


Looked at this way,
6 assets showed positive correlation--cash and short treasuries, gold and commodities, small growth stocks
16 assets were uncorrelated--most U.S. and Intl equities, REITS, TIPS
5 assets showed negative correlation--Long and intermediate bonds, balanced funds

TIPS and REITS were surprising. Small growth stocks were surprising.
Who would have guessed?

Why TIPS didn't show more correlation to CPI-U is mystery to me. Anybody have any theories?
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richard



Joined: 20 Feb 2007
Posts: 3111

PostPosted: Tue Feb 17, 2009 7:41 am    Post subject: Reply with quote

grayfox wrote:
Why TIPS didn't show more correlation to CPI-U is mystery to me. Anybody have any theories?

1) These are listed as simulated TIPS, suggesting we're not looking at historical performance. Perhaps there's a flaw in the simulation methodology.

2) There's a fall in real rates counteracting the rise in inflation

3) TIPS correlate with expected inflation, not current inflation
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market timer



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PostPosted: Tue Feb 17, 2009 9:28 am    Post subject: Reply with quote

I'd be interested to see how various asset classes correlate with the change in inflation expectations. It's the arrival of new information that influences asset prices.
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grayfox



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Location: Anytown, USA

PostPosted: Wed Feb 18, 2009 2:13 am    Post subject: Reply with quote

richard wrote:
grayfox wrote:
Why TIPS didn't show more correlation to CPI-U is mystery to me. Anybody have any theories?

1) These are listed as simulated TIPS, suggesting we're not looking at historical performance. Perhaps there's a flaw in the simulation methodology.


At the back of the spreadsheet they are call synthetic TIPS, which I presume means that are made from rayon or nylon and not cotton. I guess some professor figured out what real rates were from 1972 to 2001 and what TIPS should have returned so I am just taking them at face value.

Synthetic TIPS data provided by Cb (Data from Kothari's paper)
http://www.diehards.org/forum/viewtopic.php?t=281
Vanguard Inflation-Protected Security Fund (VIPSX) 2001-2008

Quote:
2) There's a fall in real rates counteracting the rise in inflation


Arrow This sounds plausible. TIPS return comes from real interest rate and inflation adjustment. If you buy one at par and hold to maturity it is a perfect inflation hedge. If real rates were fixed, then they would hedge inflation every year. But maybe the real interest rate fluctuations are swamping the inflation adjustment. Real rates do go up and down a lot each year.

Quote:
3) TIPS correlate with expected inflation, not current inflation


This I don't understand. The inflation adjustment is the actual CPI, not some expected CPI. In fact, it is the nominal Treasury yield that should reflect inflation expectations. For example if the real rate is 2% and inflation expecation is 3%, the nominal rate should be 5%.
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stratton



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PostPosted: Wed Feb 18, 2009 2:31 am    Post subject: Reply with quote

From Table 13-1 in The Handbook of Inflation Hedging Investments

Code:
                             Correlation                   Correlation
                             to inflation                  to inflation
                                                           expectations
==================================================================================
Inflation Linked Bonds       High                          High
Commodities                  High                          High
Timber                       Medium                        Low
Gold                         High                          High
Direct Energy                Medium                        Medium
Real Estate                  Medium                        Low

Paul
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Jack



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PostPosted: Wed Feb 18, 2009 2:31 am    Post subject: Reply with quote

I assume CPI correlations are calculated at the end of each year, but TIPS dividends lag by six months.
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craigr



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PostPosted: Wed Feb 18, 2009 2:39 am    Post subject: Re: What investments will do well in inflation? Reply with quote

Paul Douglas Boyer wrote:
Is the take away here that if one enters a long period of higher inflation that the asset classes of T-Bills, Gold, and shorting the Long-Term bond would work best? Or might stocks still outperform even though they are not as closely correlated?


I would expect short-term instruments to tread water under high inflation. Gold would exceed inflation expectations as the markets try to anticipate what inflation will go to in the future.

Stocks will eventually match or exceed inflation if it is stable and companies can adjust their operations accordingly. Very high inflation though is bad for stocks as it is difficult for companies to plan ahead, keep employee wages competitive, get cheap financing and other problems.

Quote:
Or what else can we take away from these correlation stats as pertains to investment performance?


If inflation is bad, you want to own gold. Everything else will be a distant second in price appreciation. IMO.
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Lauren Vignec



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PostPosted: Wed Feb 18, 2009 11:47 am    Post subject: inflation Reply with quote

Hello All,

Well, these data are certainly a little bit disappointing. Cash and gold have very low expected real returns (close to zero and zero) and over the time period they were the only two asset classes to moderately correlate with inflation. There was no free lunch if your concern was inflation protection.

The past doesn't predict the future, but in this case I think the past is probably a pretty good general guide. Or maybe I'm just pessimistic. The only bright spot I can really see is that maybe if you looked at monthly correlations the picture would look better for a few of the asset classes.

L
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Tramper Al



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PostPosted: Wed Feb 18, 2009 11:58 am    Post subject: Re: inflation Reply with quote

Lauren Vignec wrote:
Well, these data are certainly a little bit disappointing. Cash and gold have very low expected real returns (close to zero and zero) and over the time period they were the only two asset classes to moderately correlate with inflation.

Um, doesn't inflation itself have a pretty low expected real "return"? Were we hoping to find something tracking inflation closely, but at twice the nominal return? Other than some kind of CPI-based counterparty swap, I don't see on an expected basis one could do much better than owning TIPS, if the primary goal is to track CPI while minimizing the tracking error.
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Lauren Vignec



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PostPosted: Wed Feb 18, 2009 12:04 pm    Post subject: Re: inflation Reply with quote

Tramper Al wrote:
Lauren Vignec wrote:
Well, these data are certainly a little bit disappointing. Cash and gold have very low expected real returns (close to zero and zero) and over the time period they were the only two asset classes to moderately correlate with inflation.

Um, doesn't inflation itself have a pretty low expected real "return"? Were we hoping to find something tracking inflation closely, but at twice the nominal return? Other than some kind of CPI-based counterparty swap, I don't see on an expected basis one could do much better than owning TIPS, if the primary goal is to track CPI while minimizing the tracking error.


Hello Al,

Unfortunately, according to the synthetic data, TIPS cannot be expected to track CPI while minimizing tracking error.

Are you suggesting something is wrong with the synthetic TIPS data?

L
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Tramper Al



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PostPosted: Wed Feb 18, 2009 12:14 pm    Post subject: Re: inflation Reply with quote

Lauren Vignec wrote:
Tramper Al wrote:
Lauren Vignec wrote:
Well, these data are certainly a little bit disappointing. Cash and gold have very low expected real returns (close to zero and zero) and over the time period they were the only two asset classes to moderately correlate with inflation.

Um, doesn't inflation itself have a pretty low expected real "return"? Were we hoping to find something tracking inflation closely, but at twice the nominal return? Other than some kind of CPI-based counterparty swap, I don't see on an expected basis one could do much better than owning TIPS, if the primary goal is to track CPI while minimizing the tracking error.


Hello Al,

Unfortunately, according to the synthetic data, TIPS cannot be expected to track CPI while minimizing tracking error.

Are you suggesting something is wrong with the synthetic TIPS data?

L

Well, I'm not sure. I think someone mentioned the "lag" in CPI reflected in TIPS, though that's only a few of months, right? If the correlation methods are more or less sound, I would assume that we are looking at fluctuations in TIPS pricing, as in the real yields. Just in the past year and a half, we've seen TIPS yields of 0% and 3+%, yes? So, I am just assuming that someone who needs to track that CPI on a very short term (monthly) basis is seeing TIPS as less correlated than desired for that reason.

Personally, my interest in inflation protection is more like years, so I'd be happy if TIPS generally tracked back to the CPI over that time frame, as I think by definition they must. I'm not sure anything else is quite so grounded to the CPI.

And I don't know how synthetic TIPS returns are conjured. I''d probably use CPI for synthetic TIPS, and that should correlate pretty well to CPI! If I added a positive real yield + CPI to make my synthetic TIPS, I guess I couldn't complain too much about a correlation less than +1.0.

Oh yeah, and I suppose you could buy very short term TIPS. These would correlate more highly to CPI anyway, and interim changes in real rates would have less of an impact on your monthly pricing.


Last edited by Tramper Al on Wed Feb 18, 2009 12:24 pm; edited 4 times in total
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haberd



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PostPosted: Wed Feb 18, 2009 12:15 pm    Post subject: Reply with quote

I suspect TIPS, like nominal bonds, correlate to anticipated, not actual, inflation in the short term. For example, in the 1970s, when inflation was unexpectedly high, Treasuries had very low total returns. In the 1980s, the market expected continued inflation, so bond total returns were 5% over real. It would be interesting to see the historical "correlation lag", if it indeed exists.
I think that nominals, as well as TIPS, catch up to inflation over time, which is part of the reason I am a bit skeptical of TIPS as being some kind of revolutionary break-through for very long term investments. They are nice as an inflation insurance policy for people who are in the withdrawal stage and need a steady stream of constant real income year after year, but probably not as advantageous as some appear to think for long-term accumulators. Or so I think.
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Paul Douglas Boyer



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PostPosted: Thu Feb 19, 2009 10:49 am    Post subject: Reply with quote

I have done some more analysis on this and posted the results on my blog here:

Investments for Inflationary Times (to Come?)

http://madmoneymachine.com/200....s-to-come/

I examine the performance of the Harry Browne Permanent Portfolio during the inflationary years of 1973 - 1981. I also data mined and came up with a more optimized portfolio for those years, the "Inflation Portfolio."

I could keep typing or you could just go read it...

Not a recommendation to buy.
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plake15



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PostPosted: Thu Feb 19, 2009 12:52 pm    Post subject: Reply with quote

The most positively correlated with CPI-U are TBILL and GOLD

Then how over the last 6 months when we have had this big deflationary period,has Gold done so well and just surged? it's doing very well in strong deflationary period.
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Paul Douglas Boyer



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PostPosted: Thu Feb 19, 2009 12:59 pm    Post subject: Reply with quote

Wholesale inflation takes biggest jump in 6 months

http://finance.yahoo.com/news/....10311.html
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tarnation



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PostPosted: Wed Mar 04, 2009 4:04 pm    Post subject: Reply with quote

I looked the TSP G-fund, it has a correlation coeff to CPi-U of 0.621 (and a CAGR of 6.22%).

Since G-fund returns are only income returns, It made me wonder how a TIPS fund (VIPSX) income returns would correlate with CPI-U. I know it is only N=8 data points, but for returns from 2001-2008, I get a coeff of 0.5.
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Bulldog Bond



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PostPosted: Wed Mar 04, 2009 8:25 pm    Post subject: Reply with quote

A couple of points. I believe that the CPI-U series used by the OP was the December-December percent change. Different numbers arise if the Avg-Avg changes are used. The inflation in 2008 for example was 3.84% (Avg-Avg) or 0.09% (Dec-Dec). I prefer the Dec-Dec metric.

I have examined how the S&P 500 index behaves (with NO dividend reinvestment) thru eras of high and low inflation. Taken in decade-long data sets, the REAL Yr-Yr change in the S&P 500 Index is seen to be surprisingly constant, rarely straying far from 3.3% over the 49 year interval ending in 2002. The Lowest Real Yr-Yr Change was 2.5% in decades ending in the mid 90's. It wasn't above 3.8% in decades ending after the mid 70's. The peak was near 5% in for decades ending in the late '60's. Taken in decade-long time horizons, the S&P 500 Index seems to do a prety good job of providing a relatively consisten Real return.

The corelations in other assets depend rather strongly on the interval selected. It is important to differientate between the effect when inflation is increasing vs when it is decreasing. Here is a table of Correlations for selected assets in 3 different intervals:
...........................................S&P 500.....5 Yr T......LTGB.....S-TIPS
............................................VFINX....... VFITX......VUSTX...VIPSX
1972-2008 All data................ -0.09.........-0.24.......-0.40......0.06
1983-2002 Falling Inflation..... -0.08.........-0.05.......-0.16.....-0.04
1972-1982 Rising Inflation...... -0.26.........-0.51.......-0.63......0.59

VFINX (tracking S&P 500 total returns) was essentially uncorrelated with CPI-U changes, except when inflation was rising from '72-82.
VFITX (the 5 Yr Treasury fund) was negatively correlated when inflation was rising, but not correlated when inflation was falling.
VIPSX (or Synthetic TIPS) was positively correlated with inflation, but only when inflation was rising.
I think that is what TIPS were intended to do.
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