Simulation Settings
Category: Fixed Income
Period: August 1953 - October 2024 (~71 years)
Consolidated Returns as of 31 October 2024
Consolidated Returns as of 31 October 2024
Currency:
CAD
1.00$
Initial Capital
November 1994
November 1994
3.76$
Final Capital
October 2024
October 2024
4.51%
Yearly Return
8.56
Std Deviation
-27.29%
Max Drawdown
72months
Recovery Period
1.00$
Initial Capital
August 1953
August 1953
62.56$
Final Capital
October 2024
October 2024
5.98%
Yearly Return
7.51
Std Deviation
-27.29%
Max Drawdown
72months
Recovery Period
The BMO US Aggregate Bond Index (ZUAG.TO) ETF covers to the following investment themes:
- Asset Class: Bond
- Region: North America
- Country: U.S.
- Bond - Duration: All-Term
As of October 2024, in the previous 30 Years, the BMO US Aggregate Bond Index (ZUAG.TO) ETF obtained a 4.51% compound annual return, with a 8.56% standard deviation. It suffered a maximum drawdown of -27.29% that required 72 months to be recovered.
Disclaimer: The simulations on this website are provided in good faith but should NOT be taken as investment advice. We are not liable for any errors or actions based on this information.
The authors of the website are not affiliated with the ETFs/Assets issuers. Content is for informational, educational, illustrative and entertainment purposes only.
Table of contents
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The BMO US Aggregate Bond Index (ZUAG.TO) ETF is part of the following Lazy Portfolios:
| Portfolio Name | Author | ZUAG.TO Weight▾ | Currency |
|---|---|---|---|
| Total Bond US To CAD | 100.00% | CAD | |
| US Stocks/Bonds 20/80 To CAD | 80.00% | CAD | |
| US Stocks/Bonds 40/60 To CAD | 60.00% | CAD | |
| US Stocks/Bonds 60/40 To CAD | 40.00% | CAD | |
| US Stocks/Bonds 80/20 To CAD | 20.00% | CAD |
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Investment Returns as of Oct 31, 2024
The BMO US Aggregate Bond Index (ZUAG.TO) ETF guaranteed the following returns.
Returns are calculated in CAD, assuming:
- no fees or capital gain taxes.
- dividend reinvestment, when applicable.
BMO US AGGREGATE BOND INDEX (ZUAG.TO) ETF
1 August 1953 - 31 October 2024 (~71 years)
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| Chg (%) | Return (%) | Return (%) as of Oct 31, 2024 | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 Day | Time ET(*) | Nov 2024 |
YTD
(10M) |
1M | 6M | 1Y | 5Y | 10Y | 30Y |
MAX
(~71Y) |
|||
| Investment Return | n.a. | n.a. | 6.58 | 0.10 | 6.66 | 10.89 | 0.84 | 3.63 | 4.51 | 5.98 | |||
| Returns over 1 year are annualized | |||||||||||||
| (*) Eastern Time (ET - America/New York) | |||||||||||||
Capital Growth as of Oct 31, 2024
An investment of 1$, from November 1994 to October 2024,
would be worth 3.76$, with a total return of 275.55% (4.51% annualized).
The Inflation Adjusted Capital would be 2.00$, with a net total return of 99.78% (2.33% annualized).
The Inflation Adjusted Capital would be 2.00$, with a net total return of 99.78% (2.33% annualized).
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An investment of 1$, from August 1953 to October 2024,
would be worth 62.56$, with a total return of 6155.59% (5.98% annualized).
The Inflation Adjusted Capital would be 5.40$, with a net total return of 439.74% (2.39% annualized).
The Inflation Adjusted Capital would be 5.40$, with a net total return of 439.74% (2.39% annualized).
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Investment Metrics as of Oct 31, 2024
Metrics of BMO US Aggregate Bond Index (ZUAG.TO) ETF, updated as of 31 October 2024, provide a comprehensive overview of the portfolio's performance and risk characteristics.
These metrics include detailed data on returns, volatility, drawdowns and other key performance indicators. By examining them, you can gain insights into how the portfolio has performed over various time periods and understand its risk profile.
Metrics are calculated based on monthly returns, assuming:
- no fees or capital gain taxes.
- dividend reinvestment, when applicable.
BMO US AGGREGATE BOND INDEX (ZUAG.TO) ETF
Advanced Metrics
1 August 1953 - 31 October 2024 (~71 years)
Swipe left to see all data
| Metrics as of Oct 31, 2024 | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
|
YTD
(10M) |
1M | 3M | 6M | 1Y | 3Y | 5Y | 10Y | 20Y | 30Y |
MAX
(~71Y) |
|
| Investment Return (%) | 6.58 | 0.10 | 1.18 | 6.66 | 10.89 | 1.57 | 0.84 | 3.63 | 3.60 | 4.51 | 5.98 |
| Growth of 1$ | 1.07 | 1.00 | 1.01 | 1.07 | 1.11 | 1.05 | 1.04 | 1.43 | 2.03 | 3.76 | 62.56 |
| Canada Inflation (%) | 1.77 | 0.00 | -0.62 | 0.31 | 1.58 | 3.84 | 3.35 | 2.50 | 2.15 | 2.13 | 3.50 |
| Pending updates, the monthly inflation of Oct 2024 and beyond is set at 0%. Returns / Inflation rates over 1 year are annualized. | |||||||||||
|
DRAWDOWN
|
Current | 1Y | 3Y | 5Y | 10Y | 20Y | 30Y | MAX | |||
| Deepest Drawdown Depth (%) | -6.17 | -1.64 | -10.19 | -16.90 | -16.90 | -17.48 | -27.29 | -27.29 | |||
| Start to Recovery (# months) | 54* | 3 | 32 | 54* | 54* | 41 | 72 | 72 | |||
| Start (yyyy mm) | 2024 04 | 2021 12 | 2020 05 | 2020 05 | 2005 06 | 2003 01 | 2003 01 | ||||
| Start to Bottom (# months) | 1 | 11 | 30 | 30 | 29 | 58 | 58 | ||||
| Bottom (yyyy mm) | 2024 04 | 2022 10 | 2022 10 | 2022 10 | 2007 10 | 2007 10 | 2007 10 | ||||
| Bottom to End (# months) | 2 | 21 | 24 | 24 | 12 | 14 | 14 | ||||
| End (yyyy mm) | 2024 06 | 2024 07 | - | - | 2008 10 | 2008 12 | 2008 12 | ||||
| Longest Drawdown Depth (%) |
same |
same |
same |
same |
-16.90 |
same |
same |
||||
| Start to Recovery (# months) | 54* | ||||||||||
| Start (yyyy mm) | 2024 04 | 2021 12 | 2020 05 | 2020 05 | 2020 05 | 2003 01 | 2003 01 | ||||
| Start to Bottom (# months) | 1 | 11 | 30 | 30 | 30 | 58 | 58 | ||||
| Bottom (yyyy mm) | 2024 04 | 2022 10 | 2022 10 | 2022 10 | 2022 10 | 2007 10 | 2007 10 | ||||
| Bottom to End (# months) | 2 | 21 | 24 | 24 | 24 | 14 | 14 | ||||
| End (yyyy mm) | 2024 06 | 2024 07 | - | - | - | 2008 12 | 2008 12 | ||||
| Longest negative period (# months) | 4 | 33 | 56* | 81 | 81 | 118 | 118 | ||||
| Start (yyyy mm) | 2024 01 | 2021 12 | 2020 03 | 2016 02 | 2016 02 | 2001 10 | 2001 10 | ||||
| End (yyyy mm) | 2024 04 | 2024 08 | 2024 10 | 2022 10 | 2022 10 | 2011 07 | 2011 07 | ||||
| Annualized Return (%) | -0.21 | -0.16 | -0.24 | -0.10 | -0.10 | -0.09 | -0.09 | ||||
| Drawdowns / Negative periods marked with * are in progress | |||||||||||
| Deepest Drawdown Depth (%) | -20.97 | -2.13 | -17.47 | -28.13 | -28.13 | -28.13 | -34.13 | -34.13 | |||
| Start to Recovery (# months) | 54* | 3 | 35* | 54* | 54* | 54* | 144 | 144 | |||
| Start (yyyy mm) | 2024 04 | 2021 12 | 2020 05 | 2020 05 | 2020 05 | 2003 01 | 2003 01 | ||||
| Start to Bottom (# months) | 1 | 22 | 41 | 41 | 41 | 58 | 58 | ||||
| Bottom (yyyy mm) | 2024 04 | 2023 09 | 2023 09 | 2023 09 | 2023 09 | 2007 10 | 2007 10 | ||||
| Bottom to End (# months) | 2 | 13 | 13 | 13 | 13 | 86 | 86 | ||||
| End (yyyy mm) | 2024 06 | - | - | - | - | 2014 12 | 2014 12 | ||||
| Longest Drawdown Depth (%) |
same |
same |
same |
same |
-18.98 |
same |
-27.06 | ||||
| Start to Recovery (# months) | 59 | 160 | |||||||||
| Start (yyyy mm) | 2024 04 | 2021 12 | 2020 05 | 2020 05 | 2009 03 | 2003 01 | 1971 04 | ||||
| Start to Bottom (# months) | 1 | 22 | 41 | 41 | 26 | 58 | 126 | ||||
| Bottom (yyyy mm) | 2024 04 | 2023 09 | 2023 09 | 2023 09 | 2011 04 | 2007 10 | 1981 09 | ||||
| Bottom to End (# months) | 2 | 13 | 13 | 13 | 33 | 86 | 34 | ||||
| End (yyyy mm) | 2024 06 | - | - | - | 2014 01 | 2014 12 | 1984 07 | ||||
| Longest negative period (# months) | 5 | 36* | 60* | 117* | 117* | 264 | 338 | ||||
| Start (yyyy mm) | 2023 12 | 2021 11 | 2019 11 | 2015 02 | 2015 02 | 2001 11 | 1953 08 | ||||
| End (yyyy mm) | 2024 04 | 2024 10 | 2024 10 | 2024 10 | 2024 10 | 2023 10 | 1981 09 | ||||
| Annualized Return (%) | -0.98 | -2.18 | -2.43 | -0.59 | -0.59 | -0.01 | -0.19 | ||||
| Drawdowns / Negative periods marked with * are in progress | |||||||||||
|
RISK INDICATORS
|
1Y | 3Y | 5Y | 10Y | 20Y | 30Y | MAX | ||||
| Standard Deviation (%) | 4.43 | 5.92 | 6.52 | 8.29 | 9.41 | 8.56 | 7.51 | ||||
| Sharpe Ratio | 1.26 | -0.33 | -0.21 | 0.25 | 0.23 | 0.26 | 0.24 | ||||
| Sortino Ratio | 1.75 | -0.45 | -0.30 | 0.38 | 0.34 | 0.38 | 0.36 | ||||
| Ulcer Index | 0.52 | 6.34 | 10.82 | 8.14 | 7.74 | 9.23 | 6.38 | ||||
| Ratio: Return / Standard Deviation | 2.46 | 0.27 | 0.13 | 0.44 | 0.38 | 0.53 | 0.80 | ||||
| Ratio: Return / Deepest Drawdown | 6.65 | 0.15 | 0.05 | 0.21 | 0.21 | 0.17 | 0.22 | ||||
| Positive Months (%) | 83.33 | 58.33 | 51.66 | 56.66 | 53.33 | 56.66 | 60.23 | ||||
| Positive Months | 10 | 21 | 31 | 68 | 128 | 204 | 515 | ||||
| Negative Months | 2 | 15 | 29 | 52 | 112 | 156 | 340 | ||||
|
LONG TERM RETURNS
|
1Y | 3Y | 5Y | 10Y | 20Y | 30Y | MAX | ||||
| Best 10 Years Return (%) - Annualized | 3.63 | 7.23 | 7.23 | 14.65 | |||||||
| Worst 10 Years Return (%) - Annualized | 3.46 | 0.20 | 0.20 | ||||||||
| Best 10 Years Return (%) - Annualized | 1.10 | 5.54 | 5.54 | 9.71 | |||||||
| Worst 10 Years Return (%) - Annualized | 0.90 | -1.85 | -2.78 | ||||||||
|
TIMEFRAMES
|
1M | 3M | 6M | 1Y | 3Y | 5Y | 10Y | 20Y | 30Y | MAX | |
| ··· As of Oct 2024 - Over the previous 30Y | |||||||||||
| Best Rolling Return (%) - Annualized | 32.75 | 14.16 | 11.71 | 7.23 | 5.43 | 4.51 | |||||
| Worst Rolling Return (%) - Annualized | -14.26 | -6.40 | -5.61 | 0.20 | 2.19 | ||||||
| Positive Periods (%) | 66.1 | 76.3 | 88.0 | 100.0 | 100.0 | 100.0 | |||||
| Best Rolling Return (%) - Annualized | 30.88 | 12.48 | 9.63 | 5.54 | 3.54 | 2.33 | |||||
| Worst Rolling Return (%) - Annualized | -16.13 | -9.32 | -7.44 | -1.85 | 0.09 | ||||||
| Positive Periods (%) | 58.1 | 65.8 | 71.4 | 80.0 | 100.0 | 100.0 | |||||
| 95% VaR - Value at Risk (%) - Cumulative | 3.67 | 5.85 | 7.57 | 8.74 | 12.43 | 12.56 | 0.00 | 0.00 | |||
| 95% CVaR - Conditional Value at Risk (%) | 4.69 | 7.62 | 10.08 | 11.36 | 15.03 | 17.27 | 0.00 | 0.00 | |||
| 99% VaR - Value at Risk (%) - Cumulative | 5.35 | 8.76 | 11.70 | 13.11 | 16.99 | 21.59 | 0.00 | 0.00 | |||
| 99% CVaR - Conditional Value at Risk (%) | 6.42 | 10.62 | 14.32 | 14.15 | 17.98 | 24.50 | 0.00 | 0.00 | |||
| Short term VaRs: analytical | 1+ year VaRs: historical data | |||||||||||
| Safe Withdrawal Rate (%) | 89.04 | 27.84 | 16.13 | 8.11 | 4.64 | 5.43 | |||||
| Perpetual Withdrawal Rate (%) | --- | --- | --- | --- | 0.08 | 2.71 | |||||
| % based on initial capital, inflation-adj. monthly withdrawals afterwards | Credits: BestRetirementPortfolio.com | |||||||||||
| ··· All available data (Aug 1953 - Oct 2024) | |||||||||||
| Best Rolling Return (%) - Annualized | 38.82 | 23.71 | 22.47 | 14.65 | 12.13 | 10.33 | |||||
| Worst Rolling Return (%) - Annualized | -14.26 | -6.40 | -5.61 | 0.20 | 2.19 | 4.05 | |||||
| Positive Periods (%) | 74.7 | 88.4 | 94.5 | 100.0 | 100.0 | 100.0 | |||||
| Best Rolling Return (%) - Annualized | 33.28 | 18.97 | 16.01 | 9.71 | 8.46 | 5.24 | |||||
| Worst Rolling Return (%) - Annualized | -17.03 | -9.32 | -7.44 | -2.78 | -0.97 | 0.54 | |||||
| Positive Periods (%) | 59.9 | 63.4 | 66.9 | 77.0 | 92.6 | 100.0 | |||||
| 95% VaR - Value at Risk (%) - Cumulative | 3.06 | 4.65 | 5.68 | 6.30 | 7.68 | 0.31 | 0.00 | 0.00 | 0.00 | ||
| 95% CVaR - Conditional Value at Risk (%) | 3.96 | 6.21 | 7.88 | 8.93 | 12.26 | 10.61 | 0.00 | 0.00 | 0.00 | ||
| 99% VaR - Value at Risk (%) - Cumulative | 4.53 | 7.21 | 9.30 | 11.15 | 14.93 | 16.84 | 0.00 | 0.00 | 0.00 | ||
| 99% CVaR - Conditional Value at Risk (%) | 5.47 | 8.83 | 11.60 | 12.90 | 16.69 | 20.39 | 0.00 | 0.00 | 0.00 | ||
| Short term VaRs: analytical | 1+ year VaRs: historical data | |||||||||||
| Safe Withdrawal Rate (%) | 89.04 | 27.84 | 16.13 | 8.11 | 4.50 | 3.45 | |||||
| Perpetual Withdrawal Rate (%) | --- | --- | --- | --- | --- | 0.53 | |||||
| % based on initial capital, inflation-adj. monthly withdrawals afterwards | Credits: BestRetirementPortfolio.com | |||||||||||
- Annualized Portfolio Return: it's the annualized geometric mean return of the portfolio.
- Deepest/Longest Drawdown: a drawdown refers to the decline in value from a relative peak value to a relative trough. The deepest (or maximum) drawdown is the maximum observed loss from a peak to a trough of a portfolio before a new peak is attained. The longest drawdown is the period observed from a peak to the subsequent peak with the greatest duration.
- Longest negative period: it's the maximum period for which an overall negative return has been observed.
- Standard Deviation: it's a measure of the dispersion of returns around the mean.
- Sharpe Ratio: it's a measure of risk-adjusted performance of the portfolio. It's calculated by dividing the excess return of the portfolio over the risk-free rate by the portfolio standard deviation. The risk-free rate here considered is the 1-3 Mth T-Bill return.
- Sortino Ratio: another measure of risk-adjusted performance of the portfolio. It's a modification of the Sharpe Ratio (same formula but the denominator is the portfolio downside standard deviation).
- Ulcer Index: it's a measure of downside risk that quantifies the depth and duration of drawdowns in an investment portfolio.
- Best/Worst 10Y returns: the best and the worst 10-year return over a time frame.
- Rolling Returns: N-year returns over a time frame, calculated over all the available data source (best, worst, % of positive returns). Each rolling period, longer than the longest negative period, yielded a non-negative minimum return.
- Value at Risk (VaR): it's an evaluation of a cumulative worst-case loss (in absolute value), associated with a probability (95%-99%) and a time horizon. For short term, it's calculated based on the expected return and standard deviation, assuming a normal distribution of monthly returns. For long term is retrieved by the historical rolling return data.
- Conditional Value at Risk (CVaR): it represents the average expected loss if that worst-case threshold (95%-99%) is ever crossed.
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Correlations as of Oct 31, 2024
Correlation measures to what degree the returns of two assets move in relation to each other. It is a statistical measure that describes the extent to which the returns of one asset are related to the returns of another asset.
The following table shows the monthly correlations of BMO US Aggregate Bond Index (ZUAG.TO) ETF vs the main Asset Classes, over different timeframes. Columns are sortable (click on table header to sort).
BMO US AGGREGATE BOND INDEX (ZUAG.TO) ETF
Monthly correlations as of 31 October 2024
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Correlation values range between -1 and +1
- A correlation of +1 indicates that the returns of the two assets move in perfect synchrony; when one asset's returns go up, the other asset's returns also go up by the same percentage, and vice versa. This perfect positive correlation implies that the assets perform similarly in different market conditions.
- A correlation of -1 indicates a perfect inverse relationship between the returns of the two assets. When one asset's returns go up, the other asset's returns go down by the same percentage. This perfect negative correlation suggests that the assets move in opposite directions, providing a diversification benefit by reducing overall portfolio risk.
- A correlation of 0 means that there is no linear relationship between the returns of the two assets. The returns of one asset do not predict the returns of the other.
Learn about historical correlations here: see how the main asset classes relate to each other.
Drawdowns
A drawdown refers to the decline in value from a relative peak value to a relative trough. A maximum drawdown is the maximum observed loss from a peak to a trough of a portfolio before a new peak is attained.
BMO US AGGREGATE BOND INDEX (ZUAG.TO) ETF
Drawdown periods
Drawdown periods - Inflation Adjusted
1 November 1994 - 31 October 2024 (30 Years)
1 August 1953 - 31 October 2024 (~71 years)
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Rolling Returns
For a detailed rolling return analysis, click here
BMO US Aggregate Bond Index (ZUAG.TO) ETF: Rolling Returns
BMO US Aggregate Bond Index (ZUAG.TO) ETF: Rolling Returns
A rolling return is a measure of investment performance that calculates the return of an investment over a set period of time, with the starting date rolling forward. This approach can provide a more accurate representation of the investment's historical performance and helps investors to evaluate the investment's consistency over time.
BMO US AGGREGATE BOND INDEX (ZUAG.TO) ETF
Annualized Rolling Returns
Annualized Rolling Returns - Inflation Adjusted
1 November 1994 - 31 October 2024 (30 Years)
1 August 1953 - 31 October 2024 (~71 years)
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The values shown for the rolling periods represent key statistical points: the minimum, maximum, median, and the 15th and 85th percentiles. These percentiles give insight into the distribution of the data, indicating the range within which the central 70% of the values lie, while the median represents the middle value.
Seasonality
In which months is it better to invest in BMO US Aggregate Bond Index (ZUAG.TO) ETF?
Both the Average Return and the Gain Frequency (Win %) are useful to get an idea of what happened in the past. They are retrieved considering the time period from August 1953 to October 2024.
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For further information about the seasonality, check the Asset Class Seasonality page.
Monthly Returns
This section provides a visual/tabular representation of the performance variability in the BMO US Aggregate Bond Index (ZUAG.TO) ETF over time. It illustrates the distribution of monthly returns, showcasing the range and frequency of positive and negative returns.
BMO US AGGREGATE BOND INDEX (ZUAG.TO) ETF
Monthly Returns Distribution
1 November 1994 - 31 October 2024 (30 Years)
1 August 1953 - 31 October 2024 (~71 years)
204 Positive Months (57%) - 156 Negative Months (43%)
515 Positive Months (60%) - 340 Negative Months (40%)
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Methodology
Returns, up to February 2023, have been derived using the historical series of equivalent ETFs / Assets.
You can find additional information on extended Data Sources here.
Returns, up to February 2023, have been derived using the historical series of equivalent ETFs / Assets.
You can find additional information on extended Data Sources here.
The first official book of
Build wealth
with Lazy Portfolios and Passive Investing
with Lazy Portfolios and Passive Investing