Test Market Timing Models

This tool allows you to test different market timing and tactical asset allocation models based on moving averages, momentum, market valuation and target volatility. The supported models include:

You can find a summary of the selected tactical asset allocation model below, and a more detailed description in the FAQ section.

Seasonal Model

Seasonal model moves the portfolio out of market based on specific calendar months. Sell in May and Go Away model is a well-known example that avoids historical underperformance of some stocks in the six-month period commencing in May and ending in October.

Shiller PE Ratio Market Valuation

Shiller PE Ratio (PE10) market valuation based timing model adjusts the allocation between stocks and bonds as follows:
  • PE10 >= 22 - 40% stocks, 60% bonds
  • 14 <= PE10 < 22 - 60% stocks, 40% bonds
  • PE10 < 14 - 80% stocks, 20% bonds
The balanced 60% stock and 40% bond allocation is used as the benchmark portfolio.

Moving Averages - Single Asset

The moving average timing model is either invested in a a specific stock, ETF or mutual fund, or is alternatively in cash or other risk-free asset based on the moving average signal. The model is invested in the asset when the adjusted close price is greater than the moving average and the model moves to cash when the adjusted close price is less than the moving average. The model also supports using moving average cross-over as the signal.

Moving Averages - Portfolio Assets

The moving average model applies the moving average signal to each portfolio asset. The model is invested in a portfolio asset when the adjusted close price is greater than the moving average and the allocation is moved to cash when the adjusted close price is less than the moving average. The model also supports using moving average cross-over as the signal.

Momentum - Relative Strength

The relative strength momentum model invests in the best performing assets in the model based on each asset's past return. The momentum can be based on a single timing period, or multiple weighted timing periods. Additionally the model supports using moving averages as a risk control to decide whether investments should be moved to cash.

Momentum - Dual Momentum

The dual momentum model uses relative momentum to select the best performing model assets and incorporates absolute momentum as a filter to invest in cash if the excess return of the selected asset over cash is negative.

Adaptive Allocation

The adaptive asset allocation model combines relative strength momentum model with different asset weighting. The relative strength model uses an equal weight allocation for the model selected assets, whereas the adaptive asset allocation uses either risk parity allocation or minimum variance allocation for the model assets to minimize the expected volatility.

Target Volatility

The target volatility model adjusts the market exposure of the portfolio based on the realized historic volatility and the given volatility target. The cash allocation in the portfolio is increased or decreased as required to meet the targeted volatility level in order to improve the risk adjusted performance.
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Timing Periods
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Time Period #4
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Time Period #5
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Volatility Period
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Portfolio Assets
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Asset 2
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Asset 5
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Asset 6
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Market Timing Results (Jan 1998 - Dec 2018) Save

Tactical asset allocation model results from Jan 1998 to Dec 2018 are based on dual momentum model holding the best performing asset. Absolute momentum based trend following filter is used to switch any selected assets that have a negative excess return over the risk free rate to Vanguard Long-Term Treasury Inv (VUSTX). The model uses multiple weighted performance windows to rank the assets by weighted average of asset performance. Tactical asset allocation model trades are executed using the end of month close price each month based on the end of month signals. The time period was constrained by the available data for Vanguard International Explorer Inv (VINEX) [Dec 1996 - Jul 2020].

Performance statistics for the timing portfolio and benchmark portfolios
PortfolioInitial BalanceFinal BalanceCAGRStdevBest YearWorst YearMax. DrawdownSharpe RatioSortino RatioUS Mkt Correlation
Dual Momentum Model$10,000$470,12120.12%14.48%77.49%0.15%-20.63% 1.212.300.38
Equal Weight Portfolio$10,000$53,6288.33%15.71%52.57%-41.80%-55.28% 0.470.660.93
Vanguard 500 Index Investor$10,000$37,5966.51%14.88%32.18%-37.02%-50.97% 0.370.520.99
   
Notes on results:
  • Past performance is no guarantee of future results, which may vary. All use is subject to terms of service.
  • Investing involves risk, including possible loss of principal. The value of the investments and the income derived from them may fluctuate over time.
  • All portfolio returns presented are hypothetical and backtested. Hypothetical returns do not reflect trading costs, transaction fees, or taxes.
  • The backtested performance results are created by retroactively applying the specified investment strategy or methodology to historical data. Backtested models are developed with the benefit of hindsight but might not have foresight of the future.
  • The results are based on information from a variety of sources we consider reliable, but we do not represent that the information is accurate or complete.
  • The results do not constitute investment advice or recommendation, are provided solely for informational purposes, and are not an offer to buy or sell any securities.
  • The results are based on the total return of assets and assume that all received dividends and distributions are reinvested.
  • The selected portfolio allocation for comparison assumes monthly rebalancing
  • An equal-weight allocation is used for the assets held by the momentum model
  • The results for the tactical asset allocation model assume monthly rebalancing trades
  • The relative strength signal is based on total return including dividends
  • Additional trading costs and taxes for tactical asset allocation models are not reflected in the results
  • CAGR = Compound Annual Growth Rate
  • Stdev = Annualized standard deviation of monthly returns
  • Sharpe and Sortino ratios are calculated and annualized from monthly excess returns over the risk free rate (3-month treasury bill)
  • Stock market correlation is based on the correlation of monthly returns
  • Drawdowns are calculated based on monthly returns excluding cashflows
  • Refer to the FAQ section regarding the data sources and methodology descriptions
Annual returns for the timing portfolio and various benchmark portfolios
YearInflationReturnBalanceVanguard 500 Index Investor (VFINX)Vanguard International Explorer Inv (VINEX)Vanguard Long-Term Treasury Inv (VUSTX)
Dual Momentum ModelEqual Weight PortfolioVanguard 500 Index InvestorDual Momentum ModelEqual Weight PortfolioVanguard 500 Index Investor
19981.61%22.56%27.76%28.62%$12,256$12,776$12,86228.62%25.98%13.05%
19992.68%77.49%52.57%21.07%$21,753$19,492$15,57121.07%90.29%-8.66%
20003.39%12.09%-4.75%-9.06%$24,382$18,566$14,161-9.06%-2.68%19.72%
20011.55%4.31%-17.29%-12.02%$25,432$15,356$12,459-12.02%-22.52%4.31%
20022.38%6.66%-17.95%-22.15%$27,125$12,601$9,700-22.15%-13.88%16.67%
20031.88%66.06%42.39%28.50%$45,044$17,942$12,46428.50%57.37%2.68%
20043.26%35.06%20.89%10.74%$60,835$21,690$13,80310.74%31.77%7.12%
20053.42%20.49%12.49%4.77%$73,303$24,400$14,4624.77%20.49%6.61%
20062.54%27.96%22.89%15.64%$93,800$29,985$16,72415.64%30.34%1.74%
20074.08%0.87%5.38%5.39%$94,617$31,597$17,6255.39%5.15%9.24%
20080.09%10.20%-41.80%-37.02%$104,263$18,391$11,100-37.02%-46.62%22.52%
20092.72%28.98%36.62%26.49%$134,479$25,125$14,04026.49%47.12%-12.05%
20101.50%19.04%18.82%14.91%$160,078$29,853$16,13414.91%22.55%8.93%
20112.96%16.13%-9.42%1.97%$185,906$27,041$16,4511.97%-19.74%29.28%
20121.74%12.67%17.00%15.82%$209,454$31,638$19,05415.82%17.93%3.47%
20131.50%25.61%31.28%32.18%$263,099$41,532$25,18532.18%30.24%-13.03%
20140.76%14.83%5.08%13.51%$302,106$43,640$28,58713.51%-2.88%25.28%
20150.73%0.15%4.91%1.25%$302,565$45,785$28,9441.25%8.60%-1.54%
20162.07%6.46%4.93%11.82%$322,120$48,043$32,36511.82%-1.77%1.20%
20172.11%30.76%30.04%21.67%$421,219$62,476$39,37721.67%38.77%8.58%
20181.91%11.61%-14.16%-4.52%$470,121$53,628$37,596-4.52%-23.02%-1.90%
Monthly returns for the timing portfolio and various benchmark portfolios
YearMonthReturnBalanceVanguard 500 Index Investor (VFINX)Vanguard International Explorer Inv (VINEX)Vanguard Long-Term Treasury Inv (VUSTX)
Dual Momentum ModelEqual Weight PortfolioVanguard 500 Index InvestorDual Momentum ModelEqual Weight PortfolioVanguard 500 Index Investor
199811.11%4.43%1.11%$10,111$10,443$10,1111.11%7.75%1.91%
199827.19%6.38%7.19%$10,838$11,109$10,8387.19%5.57%-0.75%
199835.10%5.41%5.10%$11,391$11,710$11,3915.10%5.71%0.14%
199841.01%3.05%1.01%$11,506$12,067$11,5061.01%5.09%0.40%
199855.04%1.65%-1.74%$12,087$12,267$11,306-1.74%5.04%1.83%
19986-0.38%1.85%4.07%$12,041$12,493$11,7664.07%-0.38%2.35%
199872.36%0.65%-1.05%$12,326$12,575$11,642-1.05%2.36%-0.51%
19988-12.74%-13.61%-14.47%$10,755$10,864$9,957-14.47%-12.74%4.83%
199893.29%0.56%6.41%$11,108$10,925$10,5956.41%-5.29%3.29%
199810-1.69%6.32%8.16%$10,920$11,615$11,4608.16%4.47%-1.69%
1998116.07%4.75%6.07%$11,583$12,166$12,1566.07%3.42%0.88%
1998125.81%5.01%5.81%$12,256$12,776$12,8625.81%4.22%-0.16%
199914.20%3.01%4.20%$12,771$13,161$13,4024.20%1.82%0.98%
19992-3.12%0.97%-3.12%$12,372$13,288$12,984-3.12%5.06%-4.76%
199934.00%4.61%4.00%$12,866$13,900$13,5024.00%5.22%-0.34%
199948.29%6.07%3.85%$13,933$14,745$14,0233.85%8.29%0.19%
19995-0.88%-1.63%-2.39%$13,811$14,504$13,688-2.39%-0.88%-1.68%
1999612.43%8.99%5.56%$15,528$15,808$14,4485.56%12.43%-1.05%
199979.00%2.94%-3.13%$16,926$16,272$13,996-3.13%9.00%-0.58%
199983.19%1.35%-0.50%$17,466$16,491$13,926-0.50%3.19%-0.49%
19999-1.40%-2.07%-2.74%$17,220$16,150$13,545-2.74%-1.40%0.91%
1999101.85%4.09%6.33%$17,539$16,810$14,4026.33%1.85%0.12%
19991111.96%6.99%2.02%$19,637$17,985$14,6932.02%11.96%-0.59%
19991210.78%8.38%5.98%$21,753$19,492$15,5715.98%10.78%-1.60%
2000111.64%3.30%-5.03%$24,285$20,136$14,788-5.03%11.64%1.25%
2000217.38%7.74%-1.91%$28,506$21,694$14,506-1.91%17.38%2.96%
20003-3.93%2.91%9.76%$27,385$22,326$15,9229.76%-3.93%3.14%
20004-11.47%-7.24%-3.01%$24,244$20,710$15,443-3.01%-11.47%-0.66%
20005-6.68%-4.36%-2.04%$22,625$19,807$15,128-2.04%-6.68%-0.46%
200062.49%4.24%2.49%$23,187$20,647$15,5052.49%5.99%2.30%
200071.49%-2.07%-1.49%$23,532$20,219$15,274-1.49%-2.65%1.49%
200082.08%4.84%6.19%$24,021$21,199$16,2196.19%3.50%2.08%
20009-5.29%-3.99%-5.29%$22,750$20,353$15,361-5.29%-2.69%-0.85%
2000101.57%-4.60%-0.43%$23,107$19,417$15,295-0.43%-8.77%1.57%
2000112.99%-6.10%-7.88%$23,798$18,232$14,090-7.88%-4.32%2.99%
2000122.45%1.83%0.50%$24,382$18,566$14,1610.50%3.16%2.45%
200110.28%2.61%3.55%$24,451$19,051$14,6633.55%1.67%0.28%
200121.80%-6.96%-9.14%$24,892$17,725$13,323-9.14%-4.78%1.80%
20013-0.60%-7.33%-6.36%$24,741$16,425$12,477-6.36%-8.31%-0.60%
20014-2.56%6.80%7.77%$24,107$17,542$13,4467.77%5.83%-2.56%
200150.21%-0.78%0.65%$24,157$17,406$13,5330.65%-2.21%0.21%
200160.76%-3.39%-2.45%$24,340$16,816$13,202-2.45%-4.34%0.76%
200173.61%-2.81%-1.00%$25,219$16,343$13,070-1.00%-4.62%3.61%
200182.02%-4.09%-6.27%$25,730$15,675$12,250-6.27%-1.90%2.02%
200190.88%-11.46%-8.09%$25,956$13,879$11,259-8.09%-14.83%0.88%
2001105.12%2.54%1.90%$27,286$14,231$11,4731.90%3.19%5.12%
200111-5.07%6.80%7.65%$25,903$15,200$12,3517.65%5.95%-5.07%
200112-1.82%1.03%0.87%$25,432$15,356$12,4590.87%1.19%-1.82%
20021-1.47%-1.52%-1.47%$25,058$15,123$12,275-1.47%-1.57%1.20%
200221.24%-1.39%-1.94%$25,369$14,912$12,037-1.94%-0.85%1.24%
20023-3.86%5.19%3.74%$24,391$15,686$12,4883.74%6.63%-3.86%
200242.91%-1.58%-6.07%$25,100$15,438$11,729-6.07%2.91%3.73%
200251.27%0.26%-0.75%$25,418$15,477$11,641-0.75%1.27%0.39%
20026-4.52%-5.83%-7.13%$24,268$14,575$10,810-7.13%-4.52%1.76%
200272.93%-8.40%-7.72%$24,979$13,351$9,976-7.72%-9.07%2.93%
200284.28%-0.39%0.65%$26,048$13,299$10,0410.65%-1.44%4.28%
200294.02%-10.78%-10.87%$27,094$11,865$8,949-10.87%-10.69%4.02%
200210-2.84%5.46%8.78%$26,325$12,513$9,7358.78%2.14%-2.84%
200211-0.98%5.10%5.88%$26,069$13,151$10,3075.88%4.32%-0.98%
2002124.05%-4.18%-5.89%$27,125$12,601$9,700-5.89%-2.47%4.05%
20031-0.45%-2.35%-2.62%$27,004$12,304$9,445-2.62%-2.08%-0.45%
200323.03%-2.07%-1.52%$27,821$12,050$9,302-1.52%-2.62%3.03%
20033-1.13%-0.23%0.96%$27,506$12,023$9,3910.96%-1.41%-1.13%
200348.25%9.45%8.25%$29,776$13,159$10,1668.25%10.65%0.91%
2003511.15%8.21%5.26%$33,096$14,239$10,7015.26%11.15%5.67%
200363.80%2.53%1.26%$34,354$14,599$10,8361.26%3.80%-1.48%
200374.78%3.26%1.74%$35,997$15,076$11,0251.74%4.78%-8.57%
200384.08%3.01%1.93%$37,465$15,529$11,2381.93%4.08%1.43%
200395.41%2.17%-1.07%$39,492$15,866$11,117-1.07%5.41%5.07%
2003105.22%5.43%5.64%$41,554$16,727$11,7445.64%5.22%-2.58%
2003112.19%1.53%0.86%$42,462$16,982$11,8460.86%2.19%0.31%
2003126.08%5.65%5.22%$45,044$17,942$12,4645.22%6.08%1.23%
200414.21%3.02%1.82%$46,941$18,483$12,6911.82%4.21%1.74%
200423.52%2.45%1.38%$48,592$18,936$12,8661.38%3.52%1.96%
200432.31%0.40%-1.51%$49,717$19,011$12,671-1.51%2.31%1.45%
20044-1.98%-1.78%-1.58%$48,733$18,673$12,472-1.58%-1.98%-5.52%
20045-1.15%0.10%1.36%$48,171$18,692$12,6411.36%-1.15%-0.56%
200463.21%2.57%1.93%$49,717$19,173$12,8851.93%3.21%0.87%
20047-2.76%-3.03%-3.31%$48,346$18,591$12,458-3.31%-2.76%1.52%
200483.39%0.63%0.38%$49,983$18,708$12,5060.38%0.87%3.39%
200492.38%1.72%1.07%$51,172$19,030$12,6391.07%2.38%0.94%
2004103.03%2.27%1.51%$52,720$19,462$12,8311.51%3.03%1.46%
2004117.72%5.88%4.05%$56,790$20,607$13,3504.05%7.72%-2.25%
2004127.12%5.26%3.39%$60,835$21,690$13,8033.39%7.12%2.22%
200510.92%-0.77%-2.45%$61,393$21,524$13,464-2.45%0.92%2.59%
200524.31%3.20%2.09%$64,037$22,212$13,7462.09%4.31%-1.24%
20053-2.21%-1.98%-1.76%$62,622$21,772$13,504-1.76%-2.21%-0.76%
20054-2.02%-1.97%-1.91%$61,356$21,343$13,246-1.91%-2.02%3.22%
200550.36%1.77%3.17%$61,580$21,720$13,6663.17%0.36%2.55%
200562.72%1.42%0.13%$63,255$22,030$13,6830.13%2.72%1.64%
200574.53%4.12%3.71%$66,122$22,937$14,1903.71%4.53%-2.58%
200582.03%0.56%-0.91%$67,462$23,065$14,060-0.91%2.03%2.87%
200593.53%2.16%0.79%$69,845$23,564$14,1720.79%3.53%-2.78%
200510-4.10%-2.89%-1.68%$66,978$22,882$13,934-1.68%-4.10%-1.74%
2005112.67%3.22%3.76%$68,765$23,618$14,4593.76%2.67%0.57%
2005126.60%3.31%0.02%$73,303$24,400$14,4620.02%6.60%2.33%
200617.37%5.01%2.65%$78,702$25,622$14,8452.65%7.37%-0.90%
200620.62%0.44%0.26%$79,193$25,735$14,8840.26%0.62%0.81%
200635.27%3.25%1.23%$83,365$26,571$15,0671.23%5.27%-3.39%
200645.50%3.41%1.33%$87,947$27,479$15,2681.33%5.50%-1.96%
20065-4.93%-3.91%-2.90%$83,611$26,403$14,825-2.90%-4.93%-0.03%
20066-2.15%-1.01%0.13%$81,811$26,136$14,8440.13%-2.15%0.71%
20067-0.50%0.05%0.61%$81,402$26,150$14,9340.61%-0.50%1.84%
200682.74%2.36%2.36%$83,630$26,768$15,2872.36%2.36%2.74%
200692.56%2.19%2.56%$85,774$27,354$15,6792.56%1.82%1.58%
2006103.25%3.46%3.25%$88,562$28,300$16,1893.25%3.66%0.77%
2006111.89%3.20%1.89%$90,235$29,205$16,4951.89%4.51%1.91%
2006123.95%2.67%1.39%$93,800$29,985$16,7241.39%3.95%-2.14%
200712.94%2.22%1.49%$96,557$30,650$16,9741.49%2.94%-0.85%
200720.32%-0.82%-1.97%$96,868$30,397$16,640-1.97%0.32%2.93%
200733.21%2.16%1.11%$99,980$31,055$16,8251.11%3.21%-1.13%
200743.87%4.14%4.42%$103,847$32,341$17,5684.42%3.87%0.86%
200752.44%2.96%3.48%$106,381$33,298$18,1793.48%2.44%-1.93%
20076-1.13%-1.40%-1.68%$105,181$32,831$17,874-1.68%-1.13%-0.88%
20077-0.46%-1.77%-3.08%$104,692$32,248$17,323-3.08%-0.46%2.39%
20078-2.97%-0.74%1.50%$101,580$32,011$17,5821.50%-2.97%1.97%
200790.21%2.87%3.72%$101,795$32,929$18,2373.72%2.01%0.21%
2007101.58%3.77%1.58%$103,403$34,171$18,5251.58%5.96%1.40%
200711-8.06%-6.12%-4.19%$95,072$32,079$17,749-4.19%-8.06%4.59%
200712-0.48%-1.50%-0.70%$94,617$31,597$17,625-0.70%-2.30%-0.48%
200812.64%-7.57%-6.02%$97,116$29,205$16,565-6.02%-9.13%2.64%
200820.35%-0.50%-3.25%$97,456$29,060$16,026-3.25%2.26%0.35%
200831.02%-0.89%-0.44%$98,452$28,801$15,956-0.44%-1.34%1.02%
20084-1.84%3.55%4.85%$96,641$29,823$16,7304.85%2.24%-1.84%
20085-2.13%1.68%1.29%$94,585$30,325$16,9461.29%2.07%-2.13%
20086-8.44%-8.17%-8.44%$86,604$27,847$15,516-8.44%-7.91%1.80%
200870.30%-3.33%-0.83%$86,859$26,920$15,387-0.83%-5.82%0.30%
200881.80%-0.97%1.45%$88,427$26,659$15,6101.45%-3.39%1.80%
200890.28%-12.17%-8.91%$88,677$23,415$14,220-8.91%-15.43%0.28%
200810-3.63%-20.47%-16.79%$85,460$18,622$11,832-16.79%-24.14%-3.63%
20081112.07%-6.06%-7.17%$95,773$17,495$10,983-7.17%-4.94%12.07%
2008128.87%5.12%1.07%$104,263$18,391$11,1001.07%9.18%8.87%
20091-8.47%-8.78%-8.41%$95,432$16,776$10,166-8.41%-9.15%-8.47%
20092-1.01%-8.92%-10.66%$94,470$15,280$9,083-10.66%-7.18%-1.01%
200935.27%8.37%8.76%$99,444$16,559$9,8798.76%7.98%5.27%
20094-4.99%11.77%9.56%$94,483$18,508$10,8239.56%13.97%-4.99%
2009513.98%9.80%5.62%$107,693$20,321$11,4315.62%13.98%-2.68%
200961.96%1.09%0.22%$109,799$20,542$11,4560.22%1.96%0.70%
200977.41%7.49%7.58%$117,936$22,082$12,3247.58%7.41%0.80%
200985.19%4.40%3.60%$124,063$23,053$12,7683.60%5.19%1.68%
200996.33%5.02%3.72%$131,912$24,211$13,2423.72%6.33%1.98%
200910-1.67%-1.77%-1.87%$129,711$23,782$12,995-1.87%-1.67%-1.45%
2009111.70%3.84%5.98%$131,912$24,696$13,7725.98%1.70%1.91%
2009121.95%1.74%1.95%$134,479$25,125$14,0401.95%1.53%-5.66%
20101-3.60%-2.78%-3.60%$129,632$24,426$13,534-3.60%-1.96%2.66%
20102-0.89%1.10%3.09%$128,482$24,696$13,9523.09%-0.89%-0.21%
201036.01%6.59%6.01%$136,208$26,323$14,7916.01%7.16%-1.51%
201041.58%1.31%1.58%$138,357$26,668$15,0251.58%1.04%2.76%
20105-8.01%-9.76%-8.01%$127,282$24,066$13,822-8.01%-11.51%4.23%
201064.67%-2.70%-5.24%$133,221$23,417$13,098-5.24%-0.16%4.67%
20107-0.17%8.26%7.00%$132,993$25,350$14,0147.00%9.52%-0.17%
20108-2.64%-3.58%-4.53%$129,488$24,442$13,379-4.53%-2.64%7.08%
2010911.56%10.24%8.92%$144,455$26,944$14,5738.92%11.56%-1.82%
2010103.67%3.73%3.79%$149,759$27,949$15,1253.79%3.67%-3.29%
201011-3.16%-1.58%0.00%$145,023$27,507$15,1250.00%-3.16%-1.60%
20101210.38%8.53%6.67%$160,078$29,853$16,1346.67%10.38%-3.58%
201110.72%1.54%2.36%$161,230$30,312$16,5142.36%0.72%-2.38%
201121.25%2.33%3.42%$163,247$31,019$17,0783.42%1.25%1.24%
201130.03%0.25%0.03%$163,289$31,096$17,0830.03%0.47%0.02%
201142.95%3.93%2.95%$168,102$32,319$17,5862.95%4.92%2.04%
20115-2.46%-1.80%-1.15%$163,975$31,738$17,385-1.15%-2.46%3.29%
20116-2.80%-2.24%-1.67%$159,378$31,027$17,094-1.67%-2.80%-2.00%
20117-2.05%-1.82%-2.05%$156,116$30,463$16,744-2.05%-1.59%4.18%
201188.68%-7.57%-5.45%$169,670$28,158$15,832-5.45%-9.69%8.68%
2011910.16%-9.42%-7.04%$186,913$25,507$14,717-7.04%-11.79%10.16%
201110-3.34%9.55%10.91%$180,679$27,942$16,32310.91%8.18%-3.34%
201111-0.23%-2.09%-0.23%$180,257$27,357$16,285-0.23%-3.96%1.82%
2011123.13%-1.15%1.02%$185,906$27,041$16,4511.02%-3.32%3.13%
201214.46%6.64%4.46%$194,206$28,837$17,1864.46%8.81%0.08%
201224.31%4.95%4.31%$202,570$30,264$17,9264.31%5.59%-2.11%
201233.28%1.84%3.28%$209,217$30,822$18,5143.28%0.41%-3.77%
20124-0.64%-0.66%-0.64%$207,879$30,619$18,396-0.64%-0.68%4.37%
20125-6.02%-8.90%-6.02%$195,369$27,895$17,288-6.02%-11.78%7.79%
20126-1.44%3.98%4.11%$192,547$29,006$17,9994.11%3.86%-1.44%
201271.37%0.57%1.37%$195,185$29,173$18,2451.37%-0.22%3.32%
201282.24%2.57%2.24%$199,556$29,923$18,6542.24%2.90%-1.06%
201292.58%3.13%2.58%$204,698$30,860$19,1352.58%3.69%-2.10%
201210-1.86%-0.34%-1.86%$200,891$30,757$18,779-1.86%1.19%-0.43%
2012110.62%0.59%0.56%$202,138$30,938$18,8840.56%0.62%1.35%
2012123.62%2.26%0.90%$209,454$31,638$19,0540.90%3.62%-1.99%
201314.96%5.07%5.18%$219,848$33,241$20,0415.18%4.96%-3.27%
201320.19%0.77%1.34%$220,275$33,496$20,3091.34%0.19%1.26%
201331.29%2.52%3.74%$223,123$34,339$21,0683.74%1.29%0.03%
201341.91%2.80%1.91%$227,382$35,302$21,4701.91%3.70%3.87%
20135-0.49%0.92%2.33%$226,262$35,626$21,9702.33%-0.49%-6.23%
20136-1.35%-1.76%-1.35%$223,207$35,000$21,673-1.35%-2.16%-3.26%
201375.07%5.29%5.07%$234,528$36,850$22,7735.07%5.50%-1.93%
20138-2.91%-1.79%-2.91%$227,699$36,192$22,110-2.91%-0.66%-1.28%
201397.30%5.21%3.12%$244,316$38,078$22,8003.12%7.30%0.88%
2013103.99%4.29%4.59%$254,067$39,711$23,8464.59%3.99%1.32%
2013110.81%1.92%3.03%$256,127$40,473$24,5683.03%0.81%-2.49%
2013122.72%2.62%2.51%$263,099$41,532$25,1852.51%2.72%-2.37%
20141-2.23%-2.85%-3.47%$257,242$40,350$24,312-3.47%-2.23%6.26%
201425.94%5.25%4.56%$272,526$42,469$25,4204.56%5.94%0.60%
201430.73%0.78%0.82%$274,525$42,799$25,6300.82%0.73%0.63%
20144-0.62%0.05%0.72%$272,811$42,821$25,8150.72%-0.62%1.82%
201452.33%2.14%2.33%$279,181$43,735$26,4182.33%1.94%2.73%
201462.05%1.59%2.05%$284,910$44,431$26,9602.05%1.13%-0.16%
20147-1.39%-1.74%-1.39%$280,955$43,660$26,586-1.39%-2.08%0.59%
201483.98%2.30%3.98%$292,142$44,665$27,6443.98%0.62%4.23%
20149-1.41%-2.92%-1.41%$288,015$43,360$27,254-1.41%-4.43%-1.99%
2014102.42%0.46%2.42%$294,994$43,558$27,9142.42%-1.51%2.61%
2014112.68%0.63%2.68%$302,907$43,832$28,6632.68%-1.42%2.86%
201412-0.26%-0.44%-0.26%$302,106$43,640$28,587-0.26%-0.61%2.82%
20151-3.02%-1.57%-3.02%$292,990$42,955$27,725-3.02%-0.12%8.97%
201525.74%6.27%5.74%$309,806$45,650$29,3165.74%6.81%-5.66%
20153-1.59%-0.51%-1.59%$304,869$45,416$28,849-1.59%0.57%1.13%
201543.45%2.20%0.95%$315,394$46,416$29,1230.95%3.45%-3.07%
201550.88%1.07%1.27%$318,154$46,914$29,4931.27%0.88%-2.16%
20156-1.14%-1.54%-1.93%$314,531$46,194$28,923-1.93%-1.14%-3.73%
201571.15%1.62%2.08%$318,154$46,940$29,5252.08%1.15%4.21%
20158-4.99%-5.52%-6.04%$302,281$44,351$27,741-6.04%-4.99%-0.71%
201591.91%-2.79%-2.49%$308,058$43,116$27,050-2.49%-3.08%1.91%
201510-0.48%6.51%8.42%$306,583$45,922$29,3298.42%4.59%-0.48%
2015110.29%0.20%0.29%$307,461$46,013$29,4130.29%0.11%-0.81%
201512-1.59%-0.50%-1.59%$302,565$45,785$28,944-1.59%0.60%-0.34%
20161-4.98%-5.82%-4.98%$287,507$43,120$27,504-4.98%-6.67%5.24%
201622.86%-1.27%-0.15%$295,728$42,570$27,464-0.15%-2.40%2.86%
201630.05%7.18%6.78%$295,883$45,626$29,3256.78%7.58%0.05%
201640.37%0.52%0.37%$296,988$45,862$29,4340.37%0.66%-0.63%
201651.78%1.61%1.78%$302,283$46,600$29,9591.78%1.44%0.69%
201660.25%-2.65%0.25%$303,039$45,367$30,0340.25%-5.54%6.57%
201673.68%4.65%3.68%$314,180$47,475$31,1383.68%5.62%2.01%
201680.13%-0.02%0.13%$314,587$47,464$31,1780.13%-0.18%-1.00%
201690.01%1.43%0.01%$314,612$48,140$31,1810.01%2.84%-1.32%
201610-3.17%-2.50%-1.83%$304,651$46,937$30,609-1.83%-3.17%-4.23%
2016113.70%0.60%3.70%$315,920$47,219$31,7423.70%-2.50%-7.86%
2016121.96%1.75%1.96%$322,120$48,043$32,3651.96%1.53%-0.35%
201711.88%3.15%1.88%$328,186$49,555$32,9741.88%4.41%0.65%
201723.96%2.89%3.96%$341,191$50,987$34,2813.96%1.82%1.57%
201730.10%1.92%0.10%$341,532$51,967$34,3150.10%3.74%-0.59%
201745.39%3.20%1.02%$359,927$53,631$34,6641.02%5.39%1.58%
201754.27%2.83%1.39%$375,287$55,149$35,1481.39%4.27%1.73%
201760.51%0.56%0.61%$377,184$55,457$35,3620.61%0.51%0.63%
201773.47%2.76%2.04%$390,269$56,985$36,0852.04%3.47%-0.59%
201780.39%0.34%0.29%$391,786$57,180$36,1910.29%0.39%3.27%
201793.97%3.01%2.06%$407,336$58,903$36,9362.06%3.97%-2.27%
2017101.82%2.07%2.32%$414,731$60,120$37,7922.32%1.82%-0.02%
2017110.46%1.76%3.06%$416,628$61,178$38,9483.06%0.46%0.63%
2017121.10%2.12%1.10%$421,219$62,476$39,3771.10%3.14%1.78%
201815.12%5.42%5.71%$442,784$65,860$41,6275.71%5.12%-3.40%
20182-3.69%-3.86%-3.69%$426,425$63,319$40,089-3.69%-4.02%-2.89%
20183-0.33%-1.44%-2.56%$425,036$62,407$39,064-2.56%-0.33%2.75%
201840.28%0.33%0.37%$426,227$62,611$39,2100.37%0.28%-2.04%
201851.79%0.78%2.39%$433,876$63,098$40,1492.39%-0.84%1.79%
201860.61%-0.78%0.61%$436,501$62,607$40,3920.61%-2.16%0.66%
201873.71%1.90%3.71%$452,692$63,799$41,8903.71%0.10%-1.28%
201883.25%0.74%3.25%$467,388$64,268$43,2503.25%-1.77%1.18%
201890.55%-0.31%0.55%$469,979$64,070$43,4900.55%-1.17%-2.74%
201810-6.85%-9.30%-6.85%$437,790$58,109$40,511-6.85%-11.76%-2.82%
2018111.78%0.82%2.03%$445,600$58,584$41,3322.03%-0.39%1.78%
2018125.50%-8.46%-9.04%$470,121$53,628$37,596-9.04%-7.88%5.50%
Portfolio return and risk metrics
MetricDual Momentum ModelEqual Weight PortfolioVanguard 500 Index Investor
Arithmetic Mean (monthly)1.63%0.77%0.62%
Arithmetic Mean (annualized)21.34%9.69%7.70%
Geometric Mean (monthly)1.54%0.67%0.53%
Geometric Mean (annualized)20.12%8.33%6.51%
Volatility (monthly)4.18%4.53%4.30%
Volatility (annualized)14.48%15.71%14.88%
Downside Deviation (monthly)2.13%3.16%2.98%
Max. Drawdown-20.63%-55.28%-50.97%
US Market Correlation0.380.930.99
Beta(*)0.330.961.00
Alpha (annualized)17.02%2.13%0.00%
R211.79%82.77%100.00%
Sharpe Ratio1.210.470.37
Sortino Ratio2.300.660.52
Treynor Ratio (%)52.617.665.52
Calmar Ratio2.310.290.67
Active Return13.61%1.82%N/A
Tracking Error16.82%6.55%N/A
Information Ratio0.810.28N/A
Skewness0.16-0.87-0.67
Excess Kurtosis1.572.051.25
Historical Value-at-Risk (5%)-4.99%-8.42%-7.77%
Analytical Value-at-Risk (5%)-5.25%-6.68%-6.45%
Conditional Value-at-Risk (5%)-7.67%-11.00%-10.06%
Upside Capture Ratio (%)85.88102.45100.00
Downside Capture Ratio (%)11.1993.12100.00
Safe Withdrawal Rate23.81%9.49%6.34%
Perpetual Withdrawal Rate14.97%5.72%4.11%
Positive Periods175 out of 252 (69.44%)161 out of 252 (63.89%)161 out of 252 (63.89%)
Gain/Loss Ratio1.250.880.81
* Vanguard 500 Index Investor is used as the benchmark for calculations. Value-at-risk metrics are based on monthly values.

Drawdowns for Historical Market Stress Periods

Drawdowns for Historical Market Stress Periods
Stress PeriodStartEndDual Momentum ModelEqual Weight PortfolioVanguard 500 Index Investor
Russian Debt DefaultJul 1998Oct 1998-12.74%-13.61%-15.38%
Dotcom CrashMar 2000Oct 2002-20.63%-46.86%-44.82%
Subprime CrisisNov 2007Mar 2009-17.35%-55.28%-50.97%

Drawdowns for Dual Momentum Model

Drawdowns for Dual Momentum Model (worst 10)
RankStartEndLengthRecovery ByRecovery TimeUnderwater PeriodDrawdown
1Mar 2000May 20003 monthsApr 20032 years 11 months3 years 2 months-20.63%
2Jun 2007Oct 20081 year 5 monthsMay 20097 months2 years-19.67%
3Aug 1998Aug 19981 monthJan 19995 months6 months-12.74%
4Aug 2015Jan 20166 monthsDec 201611 months1 year 5 months-9.63%
5May 2010May 20101 monthSep 20104 months5 months-8.01%
6Apr 2012Jun 20123 monthsDec 20126 months9 months-7.97%
7May 2006Jul 20063 monthsOct 20063 months6 months-7.44%
8May 2011Jul 20113 monthsAug 20111 month4 months-7.13%
9Oct 2018Oct 20181 monthDec 20182 months3 months-6.85%
10Jan 2010Feb 20102 monthsMar 20101 month3 months-4.46%
Worst 10 drawdowns included above

Drawdowns for Equal Weight Portfolio

Drawdowns for Equal Weight Portfolio (worst 10)
RankStartEndLengthRecovery ByRecovery TimeUnderwater PeriodDrawdown
1Nov 2007Feb 20091 year 4 monthsMar 20134 years 1 month5 years 5 months-55.28%
2Apr 2000Sep 20022 years 6 monthsJul 20052 years 10 months5 years 4 months-46.86%
3Feb 2018Dec 201811 months-18.57%
4Aug 1998Aug 19981 monthDec 19984 months5 months-13.61%
5Aug 2015Feb 20167 monthsJul 20165 months1 year-9.31%
6May 2006Jun 20062 monthsOct 20064 months6 months-4.89%
7Jun 2007Aug 20073 monthsOct 20072 months5 months-3.87%
8Sep 2014Jan 20155 monthsFeb 20151 month6 months-3.83%
9Oct 2005Oct 20051 monthNov 20051 month2 months-2.89%
10Jan 2014Jan 20141 monthFeb 20141 month2 months-2.85%
Worst 10 drawdowns included above

Drawdowns for Vanguard 500 Index Investor

Drawdowns for Vanguard 500 Index Investor (worst 10)
RankStartEndLengthRecovery ByRecovery TimeUnderwater PeriodDrawdown
1Nov 2007Feb 20091 year 4 monthsAug 20123 years 6 months4 years 10 months-50.97%
2Sep 2000Sep 20022 years 1 monthNov 20064 years 2 months6 years 3 months-44.82%
3Jul 1998Aug 19982 monthsNov 19983 months5 months-15.38%
4Oct 2018Dec 20183 months-13.55%
5Aug 2015Sep 20152 monthsMay 20168 months10 months-8.38%
6Jan 2000Feb 20002 monthsMar 20001 month3 months-6.84%
7Jul 1999Sep 19993 monthsNov 19992 months5 months-6.25%
8Feb 2018Mar 20182 monthsJul 20184 months6 months-6.16%
9Apr 2000May 20002 monthsAug 20003 months5 months-4.98%
10Jun 2007Jul 20072 monthsSep 20072 months4 months-4.71%
Worst 10 drawdowns included above
Rolling returns summary
Roll PeriodDual Momentum ModelEqual Weight PortfolioVanguard 500 Index Investor
AverageHighLowAverageHighLowAverageHighLow
1 year21.43%77.49%0.15%10.84%52.57%-41.80%8.07%32.18%-37.02%
3 years19.67%39.29%6.98%8.09%24.64%-13.53%6.16%20.22%-14.60%
5 years19.54%29.83%11.62%7.64%20.19%-2.05%5.94%17.81%-2.38%
7 years19.81%29.43%13.29%7.84%13.92%2.61%6.09%14.67%-1.64%
10 years19.32%25.20%13.13%7.04%12.19%2.57%5.39%12.97%-1.46%
15 years19.72%22.68%16.92%7.80%11.26%5.52%6.00%9.79%4.13%
Result statistics are based on annualized rolling returns over full calendar year periods
Timing periods and related holdings for the timing portfolio
#StartEndMonthsAssetsAsset PerformanceDual Momentum ModelEqual Weight PortfolioVanguard 500 Index Investor
1Jan 1998Apr 19984100.00% Vanguard 500 Index Investor (VFINX)VFINX: 15.06%15.06%20.67%15.06%
2May 1998Aug 19984100.00% Vanguard International Explorer Inv (VINEX)VINEX: -6.53%-6.53%-9.97%-13.47%
3Sep 1998Oct 19982100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 1.54%1.54%6.91%15.10%
4Nov 1998Mar 19995100.00% Vanguard 500 Index Investor (VFINX)VFINX: 17.82%17.82%19.68%17.82%
5Apr 1999May 200014100.00% Vanguard International Explorer Inv (VINEX)VINEX: 75.85%75.85%42.50%12.04%
6Jun 2000Jun 20001100.00% Vanguard 500 Index Investor (VFINX)VFINX: 2.49%2.49%4.24%2.49%
7Jul 2000Aug 20002100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 3.59%3.59%2.67%4.61%
8Sep 2000Sep 20001100.00% Vanguard 500 Index Investor (VFINX)VFINX: -5.29%-5.29%-3.99%-5.29%
9Oct 2000Dec 200115100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 11.79%11.79%-24.55%-18.89%
10Jan 2002Jan 20021100.00% Vanguard 500 Index Investor (VFINX)VFINX: -1.47%-1.47%-1.52%-1.47%
11Feb 2002Mar 20022100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: -2.66%-2.66%3.72%1.73%
12Apr 2002Jun 20023100.00% Vanguard International Explorer Inv (VINEX)VINEX: -0.50%-0.50%-7.08%-13.43%
13Jul 2002Mar 20039100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 13.34%13.34%-17.51%-13.13%
14Apr 2003Apr 20031100.00% Vanguard 500 Index Investor (VFINX)VFINX: 8.25%8.25%9.45%8.25%
15May 2003Jul 200415100.00% Vanguard International Explorer Inv (VINEX)VINEX: 62.37%62.37%41.28%22.55%
16Aug 2004Aug 20041100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 3.39%3.39%0.63%0.38%
17Sep 2004Jul 200623100.00% Vanguard International Explorer Inv (VINEX)VINEX: 62.86%62.86%39.78%19.42%
18Aug 2006Aug 20061100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 2.74%2.74%2.36%2.36%
19Sep 2006Nov 20063100.00% Vanguard 500 Index Investor (VFINX)VFINX: 7.90%7.90%9.11%7.90%
20Dec 2006Aug 20079100.00% Vanguard International Explorer Inv (VINEX)VINEX: 12.57%12.57%9.61%6.59%
21Sep 2007Sep 20071100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 0.21%0.21%2.87%3.72%
22Oct 2007Oct 20071100.00% Vanguard 500 Index Investor (VFINX)VFINX: 1.58%1.58%3.77%1.58%
23Nov 2007Nov 20071100.00% Vanguard International Explorer Inv (VINEX)VINEX: -8.06%-8.06%-6.12%-4.19%
24Dec 2007May 20086100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: -0.51%-0.51%-5.47%-4.52%
25Jun 2008Jun 20081100.00% Vanguard 500 Index Investor (VFINX)VFINX: -8.44%-8.44%-8.17%-8.44%
26Jul 2008Apr 200910100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 9.10%9.10%-33.54%-30.25%
27May 2009Nov 20097100.00% Vanguard International Explorer Inv (VINEX)VINEX: 39.61%39.61%33.43%27.25%
28Dec 2009Jan 20102100.00% Vanguard 500 Index Investor (VFINX)VFINX: -1.73%-1.73%-1.09%-1.73%
29Feb 2010Feb 20101100.00% Vanguard International Explorer Inv (VINEX)VINEX: -0.89%-0.89%1.10%3.09%
30Mar 2010May 20103100.00% Vanguard 500 Index Investor (VFINX)VFINX: -0.93%-0.93%-2.55%-0.93%
31Jun 2010Jul 20102100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 4.49%4.49%5.34%1.39%
32Aug 2010Feb 20117100.00% Vanguard International Explorer Inv (VINEX)VINEX: 22.75%22.75%22.36%21.86%
33Mar 2011Apr 20112100.00% Vanguard 500 Index Investor (VFINX)VFINX: 2.97%2.97%4.19%2.97%
34May 2011Jun 20112100.00% Vanguard International Explorer Inv (VINEX)VINEX: -5.19%-5.19%-4.00%-2.80%
35Jul 2011Jul 20111100.00% Vanguard 500 Index Investor (VFINX)VFINX: -2.05%-2.05%-1.82%-2.05%
36Aug 2011Oct 20113100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 15.73%15.73%-8.28%-2.51%
37Nov 2011Nov 20111100.00% Vanguard 500 Index Investor (VFINX)VFINX: -0.23%-0.23%-2.09%-0.23%
38Dec 2011Dec 20111100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 3.13%3.13%-1.15%1.02%
39Jan 2012May 20125100.00% Vanguard 500 Index Investor (VFINX)VFINX: 5.09%5.09%3.16%5.09%
40Jun 2012Jun 20121100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: -1.44%-1.44%3.98%4.11%
41Jul 2012Oct 20124100.00% Vanguard 500 Index Investor (VFINX)VFINX: 4.33%4.33%6.03%4.33%
42Nov 2012Mar 20135100.00% Vanguard International Explorer Inv (VINEX)VINEX: 11.07%11.07%11.65%12.19%
43Apr 2013Apr 20131100.00% Vanguard 500 Index Investor (VFINX)VFINX: 1.91%1.91%2.80%1.91%
44May 2013May 20131100.00% Vanguard International Explorer Inv (VINEX)VINEX: -0.49%-0.49%0.92%2.33%
45Jun 2013Aug 20133100.00% Vanguard 500 Index Investor (VFINX)VFINX: 0.63%0.63%1.59%0.63%
46Sep 2013Apr 20148100.00% Vanguard International Explorer Inv (VINEX)VINEX: 19.81%19.81%18.31%16.76%
47May 2014Mar 201511100.00% Vanguard 500 Index Investor (VFINX)VFINX: 11.75%11.75%6.06%11.75%
48Apr 2015Aug 20155100.00% Vanguard International Explorer Inv (VINEX)VINEX: -0.85%-0.85%-2.34%-3.84%
49Sep 2015Oct 20152100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 1.42%1.42%3.54%5.72%
50Nov 2015Jan 20163100.00% Vanguard 500 Index Investor (VFINX)VFINX: -6.22%-6.22%-6.10%-6.22%
51Feb 2016Mar 20162100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 2.91%2.91%5.81%6.62%
52Apr 2016Sep 20166100.00% Vanguard 500 Index Investor (VFINX)VFINX: 6.33%6.33%5.51%6.33%
53Oct 2016Oct 20161100.00% Vanguard International Explorer Inv (VINEX)VINEX: -3.17%-3.17%-2.50%-1.83%
54Nov 2016Mar 20175100.00% Vanguard 500 Index Investor (VFINX)VFINX: 12.11%12.11%10.72%12.11%
55Apr 2017Nov 20178100.00% Vanguard International Explorer Inv (VINEX)VINEX: 21.99%21.99%17.72%13.50%
56Dec 2017Dec 20171100.00% Vanguard 500 Index Investor (VFINX)VFINX: 1.10%1.10%2.12%1.10%
57Jan 2018Jan 20181100.00% Vanguard International Explorer Inv (VINEX)VINEX: 5.12%5.12%5.42%5.71%
58Feb 2018Feb 20181100.00% Vanguard 500 Index Investor (VFINX)VFINX: -3.69%-3.69%-3.86%-3.69%
59Mar 2018Apr 20182100.00% Vanguard International Explorer Inv (VINEX)VINEX: -0.05%-0.05%-1.12%-2.19%
60May 2018May 20181100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 1.79%1.79%0.78%2.39%
61Jun 2018Oct 20185100.00% Vanguard 500 Index Investor (VFINX)VFINX: 0.90%0.90%-7.91%0.90%
62Nov 2018Dec 20182100.00% Vanguard Long-Term Treasury Inv (VUSTX)VUSTX: 7.39%7.39%-7.71%-7.20%
63Jan 2019Jan 20191Please sign-in for forward signals----