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Bogleheads Investing Advice Inspired by Jack Bogle
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Paul Douglas Boyer

Joined: 07 Mar 2007 Posts: 95 Location: Leesburg, VA
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Posted: Tue Feb 17, 2009 3:06 am Post subject: What investments will do well in inflation? |
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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?
Moved from this thread...
http://www.bogleheads.org/foru....843#403843 _________________ Paul Douglas Boyer, host, MadMoneyMachine.com |
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haberd
Joined: 22 Nov 2008 Posts: 714
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Posted: Tue Feb 17, 2009 3:19 am Post subject: |
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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 Posts: 1898 Location: Anytown, USA
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Posted: Tue Feb 17, 2009 4:49 am Post subject: |
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| 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
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Posted: Tue Feb 17, 2009 6:27 am Post subject: |
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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
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Posted: Tue Feb 17, 2009 7:41 am Post subject: |
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| 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

Joined: 21 Aug 2007 Posts: 3076 Location: -$70K
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Posted: Tue Feb 17, 2009 9:28 am Post subject: |
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| 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

Joined: 15 Sep 2007 Posts: 1898 Location: Anytown, USA
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Posted: Wed Feb 18, 2009 2:13 am Post subject: |
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| 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 |
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

Joined: 04 Mar 2007 Posts: 7905 Location: Puget Sound
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Posted: Wed Feb 18, 2009 2:31 am Post subject: |
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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
Joined: 27 Feb 2007 Posts: 1550
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Posted: Wed Feb 18, 2009 2:31 am Post subject: |
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| I assume CPI correlations are calculated at the end of each year, but TIPS dividends lag by six months. |
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craigr
Joined: 13 Mar 2007 Posts: 2126
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Posted: Wed Feb 18, 2009 2:39 am Post subject: Re: What investments will do well in inflation? |
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| 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. _________________ “The best kept secret in the investing world: Almost nothing turns out as expected.” - Harry Browne |
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Lauren Vignec
Joined: 16 Feb 2008 Posts: 151
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Posted: Wed Feb 18, 2009 11:47 am Post subject: inflation |
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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
Joined: 18 Oct 2007 Posts: 3109
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Posted: Wed Feb 18, 2009 11:58 am Post subject: Re: inflation |
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| 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
Joined: 16 Feb 2008 Posts: 151
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Posted: Wed Feb 18, 2009 12:04 pm Post subject: Re: inflation |
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| 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
Joined: 18 Oct 2007 Posts: 3109
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Posted: Wed Feb 18, 2009 12:14 pm Post subject: Re: inflation |
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| 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
Joined: 22 Nov 2008 Posts: 714
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Posted: Wed Feb 18, 2009 12:15 pm Post subject: |
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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

Joined: 07 Mar 2007 Posts: 95 Location: Leesburg, VA
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Posted: Thu Feb 19, 2009 10:49 am Post subject: |
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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. _________________ Paul Douglas Boyer, host, MadMoneyMachine.com |
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plake15
Joined: 06 Oct 2007 Posts: 1043
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Posted: Thu Feb 19, 2009 12:52 pm Post subject: |
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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

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

Joined: 26 Apr 2007 Posts: 1371
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Posted: Wed Mar 04, 2009 4:04 pm Post subject: |
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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
Joined: 17 Jun 2007 Posts: 37
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Posted: Wed Mar 04, 2009 8:25 pm Post subject: |
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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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