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The blue bars in the above chart reflect a 25% x 3 Vanilla PP weighting and the red bars show how much risk each asset contributes to the overall Vanilla PP at that 25% weighting. Maybe this will be clearer:
Asset Vanilla Portfolio Weight Vanilla Volatility Contribution to Vanilla Portfolio Risk Vanilla Risk Contribution
Equity 25.00% 16.74% 0.18% 33.42%
Debt 25.00% 12.08% 0.09% 16.65%
Real 25.00% 20.61% 0.26% 49.93%
Portfolio 75.00% 7.24% 0.52% 100.00%
Diversify Ratio 56.90%
I surmise the 49.93% is why many [potential] PPers have a major problem with the 25% gold allocation... they're sensing it via sore experience/gut feel/intuition/fuzzy logic. These stats are based on historical returns back to 1968.
The Vanilla PP came in third place in the 300-year Monte Carlo asset allocation backtest. What beat it was a) equalized risk contribution and b) most diversified portfolio. They both have better risk adjusted returns and slightly less maximum drawdown (roughly -21% vs -24% for the Vanilla PP). So it appears to me now that the Vanilla PP is like a sloppy version of both equal risk contribution and most diversified portfolio, that was determined mostly empirically during the late 70's to the late 80's instead of strictly quantitatively (understandable, given the technological limitations at the time). So it's not going to be at all perfect, but a solid foundation to improve upon.
More importantly, there was a bond bear market in the Monte Carlo backtest to the extent of a nominal 40% maximum drawdown. Now keep in mind that before 1977 I had to use 20-year T-Bonds for the stats, so I think it would be very prudent to wait for a real bear in real-time on 30-year T-Bonds before deciding to increase the bond allocation based on such a relatively short history, Monte Carlo backtest or not. I note that Ray Dalio of the "All Weather Portfolio" dramatically reduced his T-Bond allocation after suffering substantial portfolio losses after the verbal end of QEternity in 2012.
An interesting aspect about T-Bonds is that the 40-year bear market from 1940-1980 was certainly not severe in nominal terms, as you can see below:
Year T-Bonds Inflation
1940 2.84% 0.71%
1941 1.88% 9.93%
1942 1.74% 9.03%
1943 2.23% 2.96%
1944 2.50% 2.30%
1945 3.36% 2.25%
1946 2.70% 18.13%
1947 0.31% 8.88%
1948 1.22% 2.73%
1949 3.46% -1.83%
1950 0.41% 5.80%
1951 0.45% 5.96%
1952 1.12% 0.91%
1953 3.11% 0.60%
1954 2.98% -0.37%
1955 -1.95% 0.37%
1956 -3.73% 2.83%
1957 4.46% 3.04%
1958 -3.22% 1.76%
1959 -2.34% 1.52%
1960 10.08% 1.36%
1961 1.75% 0.67%
1962 6.12% 1.23%
1963 0.31% 1.65%
1964 4.32% 1.20%
1965 0.02% 1.92%
1966 1.19% 3.36%
1967 -5.09% 3.28%
1968 2.23% 4.71%
1969 -5.11% 5.90%
1970 13.97% 5.57%
1971 9.49% 3.27%
1972 6.46% 3.41%
1973 -7.82% 8.94%
1974 1.16% 12.10%
1975 4.82% 7.13%
1976 17.86% 5.04%
1977 1.65% 6.68%
1978 -1.56% 8.99%
1979 -1.78% 13.25%
1980 -4.98% 12.35%
From a real return perspective, it was an absolute disaster, hitting around an -80% maximum drawdown in real terms. We don't need to be concerned about that with the PP concept, so long as you hold appropriate real return assets.
Another interesting aspect about T-Bonds, is that the total return to T-Bills since 1928 starting with $100 is virtually neck and neck within the PP:
Year T-Bills T-Bonds
1928 $25.77 $25.81
1929 $28.99 $28.81
1930 $28.72 $29.48
1931 $28.13 $27.47
1932 $24.99 $25.31
1933 $24.49 $26.00
1934 $31.53 $33.27
1935 $32.42 $34.59
1936 $36.76 $38.51
1937 $40.15 $41.35
1938 $36.93 $38.23
1939 $39.94 $41.53
1940 $40.24 $41.37
1941 $39.27 $40.04
1942 $38.63 $39.17
1943 $40.70 $41.45
1944 $43.52 $44.44
1945 $46.13 $47.50
1946 $51.01 $52.19
1947 $50.60 $50.64
1948 $53.25 $53.42
1949 $54.13 $55.35
1950 $56.67 $56.32
1951 $61.28 $60.80
1952 $65.33 $64.99
1953 $68.59 $69.19
1954 $67.55 $68.39
1955 $76.41 $74.32
1956 $83.65 $78.66
1957 $85.68 $86.68
1958 $85.00 $79.78
1959 $93.57 $89.28
1960 $98.93 $103.68
1961 $100.79 $100.38
1962 $108.19 $111.98
1963 $108.22 $105.69
1964 $115.90 $116.89
1965 $123.30 $118.92
1966 $129.06 $125.29
1967 $128.39 $116.10
1968 $135.78 $132.54
1969 $150.59 $135.42
1970 $149.64 $157.14
1971 $152.46 $158.86
1972 $166.89 $171.24
1973 $198.39 $175.00
1974 $233.83 $220.00
1975 $262.53 $255.84
1976 $273.85 $305.33
1977 $298.41 $291.85
1978 $318.55 $297.64
1979 $366.50 $332.10
1980 $518.82 $443.14
1981 $615.95 $528.41
1982 $558.84 $716.18
1983 $660.72 $605.68
1984 $690.98 $725.13
1985 $703.25 $872.25
1986 $837.30 $1,015.18
1987 $976.23 $855.45
1988 $1,042.66 $1,074.51
1989 $1,111.96 $1,238.70
1990 $1,267.40 $1,232.85
1991 $1,281.86 $1,413.12
1992 $1,393.27 $1,436.70
1993 $1,426.45 $1,676.04
1994 $1,600.01 $1,387.38
1995 $1,611.52 $2,051.46
1996 $1,918.20 $1,770.36
1997 $2,009.29 $2,235.15
1998 $2,184.93 $2,462.10
1999 $2,441.46 $2,036.25
2000 $2,542.07 $2,936.65
2001 $2,659.58 $2,619.47
2002 $2,541.27 $2,673.25
2003 $2,606.60 $2,671.29
2004 $2,933.96 $3,150.52
2005 $3,146.74 $3,301.88
2006 $3,454.68 $3,415.10
2007 $3,910.16 $4,110.85
2008 $4,359.24 $5,898.37
2009 $4,327.85 $3,096.55
2010 $4,572.10 $5,002.51
2011 $5,191.52 $6,901.59
h2012 $5,757.16 $5,855.68
2013 $6,133.87 $5,234.66
2014 $5,985.49 $7,640.97
Next up, the historical volatilities since 1968 for stock, bonds and gold in that order:
Trailing Volatility
16.74%
12.08%
20.61%
And the forward-looking (using the "wisdom of the crowds") volatilities as of last week for the next 1.5 years:
Forward Volatility
17.00%
11.82%
19.33%
Gsundheit!
Moving on, here is the equal risk contribution portfolio:
Asset Equal Risk Portfolio Weight Equal Risk Volatility Contribution to Equal Risk Portfolio Risk Equal Risk Contribution
Equity 30.98% 16.74% 0.27% 33.33%
Debt 43.60% 12.08% 0.27% 33.33%
Real 25.42% 20.61% 0.27% 33.33%
Portfolio 100% 8.98% 0.81% 100.00%
Diversify Ratio 58.24%
...rescaled back to the Vanilla PP's level of portfolio volatility (you could set your own target, but why mess with the almost best?):
Asset Adjusted Vanilla Risk Contribution
Equity 24.97%
Debt 35.14%
Real 20.49%
Cash 19.40%
If you just keep the Vanilla PP equity and debt at 25%, but lower gold to 20.50%, stocks and gold will virtually match in risk contribution. So a little underweighting of gold and putting the difference into cash practically fixes the Big Fat Flaw:
Asset Vanilla Portfolio Weight Vanilla Volatility Contribution to Vanilla Portfolio Risk Vanilla Risk Contribution
Equity 25.00% 16.74% 0.18% 40.01%
Debt 25.00% 12.08% 0.09% 19.93%
Real 20.50% 20.61% 0.18% 40.06%
Portfolio 70.50% 6.62% 0.44% 100.00%
Diversify Ratio 57.68%
As further evidence this band-aid is superior to the Vanilla PP, the larger the Diversify Ratio (DR) score, the better the assets in the portfolio are diversified and less correlated. It would actually have better use for diversifying intra-assets or tactical allocation, but that's for another day.
Here's the DR scores for PP portfolios that include cash:
Vanilla PPx4: 43.51%
ERC PPx4: 47.30%
100% into Stock, Debt, Real or Cash: 25%
Here's the ERC PPx4:
Asset Equal Risk Portfolio Weight Equal Risk Volatility Contribution to Equal Risk Portfolio Risk Equal Risk Contribution
Equity 7.67% 16.74% 0.02% 25.00%
Debt 10.80% 12.08% 0.02% 25.00%
Real 6.30% 20.61% 0.02% 25.00%
Cash 75.24% 1.29% 0.02% 25.00%
Portfolio 100% 2.57% 0.07% 100.00%
If we could leverage the cash somehow, we could up the other weights to match the Vanilla PP's volatility:
Adjusted Vanilla Portfolio Weight
Equity 21.76%
Debt 30.63%
Real 17.86%
Cash 213.42%
Portfolio 283.66%
Here's the Vanilla PP w/cash:
Vanilla Vanilla Portfolio Weight Vanilla Volatility Contribution to Vanilla Portfolio Risk Vanilla Risk Contribution
Equity 25.00% 16.74% 0.18% 33.42%
Debt 25.00% 12.08% 0.09% 16.65%
Real 25.00% 20.61% 0.26% 49.93%
Cash 25.00% 1.29% 0.01% 1.27%
Portfolio 100.00% 7.29% 0.53% 100.00%
So in another 40 years, maybe the murky issue with the T-Bonds can be fixed. I believe that is more of a duration risk issue than volatility, anyway. For now, I rest and will knock off 5% from the gold for my strategic allocation weights. Between this and equalizing the marketcap risk of the equities, I feel there is currently no juice left to squeeze from this rock after three years. I'm moving on to the VP now.