'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

Which means for our asset as example:- Looking at the total return, or increase in value of -3.1% in the last 5 years of Vanguard Long Term Treasury Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (67.9%)
- Looking at total return, or performance in of -31.2% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (44.5%).

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

Using this definition on our asset we see for example:- Looking at the annual return (CAGR) of -0.6% in the last 5 years of Vanguard Long Term Treasury Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (10.9%)
- Compared with SPY (13.1%) in the period of the last 3 years, the annual return (CAGR) of -11.7% is smaller, thus worse.

'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:- Looking at the historical 30 days volatility of 15.4% in the last 5 years of Vanguard Long Term Treasury Fund, we see it is relatively lower, thus better in comparison to the benchmark SPY (21.4%)
- Compared with SPY (18.7%) in the period of the last 3 years, the historical 30 days volatility of 15.4% is lower, thus better.

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

Using this definition on our asset we see for example:- Looking at the downside deviation of 10.7% in the last 5 years of Vanguard Long Term Treasury Fund, we see it is relatively lower, thus better in comparison to the benchmark SPY (15.4%)
- Compared with SPY (13.3%) in the period of the last 3 years, the downside deviation of 11.1% is lower, thus better.

'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.'

Using this definition on our asset we see for example:- Looking at the Sharpe Ratio of -0.2 in the last 5 years of Vanguard Long Term Treasury Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.39)
- Compared with SPY (0.56) in the period of the last 3 years, the risk / return profile (Sharpe) of -0.92 is smaller, thus worse.

'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.'

Applying this definition to our asset in some examples:- The excess return divided by the downside deviation over 5 years of Vanguard Long Term Treasury Fund is -0.29, which is smaller, thus worse compared to the benchmark SPY (0.55) in the same period.
- During the last 3 years, the excess return divided by the downside deviation is -1.28, which is smaller, thus worse than the value of 0.79 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.'

Applying this definition to our asset in some examples:- The Ulcer Ratio over 5 years of Vanguard Long Term Treasury Fund is 18 , which is higher, thus worse compared to the benchmark SPY (9.47 ) in the same period.
- Looking at Ulcer Ratio in of 23 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (10 ).

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum DrawDown of -42.3 days of Vanguard Long Term Treasury Fund is lower, thus worse.
- Compared with SPY (-24.5 days) in the period of the last 3 years, the maximum reduction from previous high of -42.3 days is lower, thus worse.

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

Using this definition on our asset we see for example:- The maximum days below previous high over 5 years of Vanguard Long Term Treasury Fund is 711 days, which is greater, thus worse compared to the benchmark SPY (354 days) in the same period.
- Compared with SPY (354 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 711 days is larger, 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.'

Which means for our asset as example:- The average days below previous high over 5 years of Vanguard Long Term Treasury Fund is 226 days, which is greater, thus worse compared to the benchmark SPY (79 days) in the same period.
- Compared with SPY (102 days) in the period of the last 3 years, the average days below previous high of 340 days is larger, thus worse.

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.