'Total return, when measuring performance, is the actual rate of return of an investment or a pool of investments over a given evaluation period. Total return includes interest, capital gains, dividends and distributions realized over a given period of time. Total return accounts for two categories of return: income including interest paid by fixed-income investments, distributions or dividends and capital appreciation, representing the change in the market price of an asset.'

Using this definition on our asset we see for example:- The total return over 5 years of Vanguard Long Term Treasury Fund is 0.7%, which is lower, thus worse compared to the benchmark SPY (63%) in the same period.
- Looking at total return in of -20.9% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (33.5%).

'Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from various data sets of common domain such as revenue growth of companies in the same industry.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (10.3%) in the period of the last 5 years, the annual performance (CAGR) of 0.1% of Vanguard Long Term Treasury Fund is lower, thus worse.
- During the last 3 years, the compounded annual growth rate (CAGR) is -7.5%, which is smaller, thus worse than the value of 10.1% from the benchmark.

'In finance, volatility (symbol σ) is the degree of variation of a trading price series over time as measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option). Commonly, the higher the volatility, the riskier the security.'

Which means for our asset as example:- Compared with the benchmark SPY (21.6%) in the period of the last 5 years, the 30 days standard deviation of 15% of Vanguard Long Term Treasury Fund is lower, thus better.
- Compared with SPY (25.1%) in the period of the last 3 years, the historical 30 days volatility of 17.4% is lower, thus better.

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (15.6%) in the period of the last 5 years, the downside deviation of 10.4% of Vanguard Long Term Treasury Fund is lower, thus better.
- During the last 3 years, the downside volatility is 12.1%, which is lower, thus better than the value of 18.1% from the benchmark.

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

Which means for our asset as example:- The risk / return profile (Sharpe) over 5 years of Vanguard Long Term Treasury Fund is -0.16, which is lower, thus worse compared to the benchmark SPY (0.36) in the same period.
- Looking at ratio of return and volatility (Sharpe) in of -0.58 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.3).

'The Sortino ratio improves upon the Sharpe ratio by isolating downside volatility from total volatility by dividing excess return by the downside deviation. The Sortino ratio is a variation of the Sharpe ratio that differentiates harmful volatility from total overall volatility by using the asset's standard deviation of negative asset returns, called downside deviation. The Sortino ratio takes the asset's return and subtracts the risk-free rate, and then divides that amount by the asset's downside deviation. The ratio was named after Frank A. Sortino.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (0.5) in the period of the last 5 years, the downside risk / excess return profile of -0.23 of Vanguard Long Term Treasury Fund is lower, thus worse.
- During the last 3 years, the downside risk / excess return profile is -0.83, which is lower, thus worse than the value of 0.42 from the benchmark.

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

Using this definition on our asset we see for example:- Looking at the Ulcer Ratio of 16 in the last 5 years of Vanguard Long Term Treasury Fund, we see it is relatively higher, thus worse in comparison to the benchmark SPY (8.88 )
- Looking at Ulcer Index in of 20 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (11 ).

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

Which means for our asset as example:- The maximum drop from peak to valley over 5 years of Vanguard Long Term Treasury Fund is -42.3 days, which is lower, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Looking at maximum reduction from previous high in of -42.3 days in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (-33.7 days).

'The Maximum Drawdown Duration is an extension of the Maximum Drawdown. However, this metric does not explain the drawdown in dollars or percentages, rather in days, weeks, or months. It is the length of time the account was in the Max Drawdown. A Max Drawdown measures a retrenchment from when an equity curve reaches a new high. It’s the maximum an account lost during that retrenchment. This method is applied because a valley can’t be measured until a new high occurs. Once the new high is reached, the percentage change from the old high to the bottom of the largest trough is recorded.'

Applying this definition to our asset in some examples:- Looking at the maximum days below previous high of 630 days in the last 5 years of Vanguard Long Term Treasury Fund, we see it is relatively higher, thus worse in comparison to the benchmark SPY (273 days)
- Compared with SPY (273 days) in the period of the last 3 years, the maximum days below previous high of 630 days is greater, thus worse.

'The Average Drawdown Duration is an extension of the Maximum Drawdown. However, this metric does not explain the drawdown in dollars or percentages, rather in days, weeks, or months. The Avg Drawdown Duration is the average amount of time an investment has seen between peaks (equity highs), or in other terms the average of time under water of all drawdowns. So in contrast to the Maximum duration it does not measure only one drawdown event but calculates the average of all.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (57 days) in the period of the last 5 years, the average days under water of 183 days of Vanguard Long Term Treasury Fund is higher, thus worse.
- Looking at average time in days below previous high water mark in of 272 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (73 days).

Historical returns have been extended using synthetic data.
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- Note that yearly returns do not equal the sum of monthly returns due to compounding.
- Performance results of Vanguard Long Term Treasury Fund are hypothetical, do not account for slippage, fees or taxes, and are based on backtesting, which has many inherent limitations, some of which are described in our Terms of Use.