'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (65.8%) in the period of the last 5 years, the total return of 83.8% of Sirius XM is larger, thus better.
- Looking at total return in of 61.1% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (48.8%).

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (10.6%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 13% of Sirius XM is higher, thus better.
- Looking at annual performance (CAGR) in of 17.3% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (14.2%).

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

Applying this definition to our asset in some examples:- Looking at the historical 30 days volatility of 21.5% in the last 5 years of Sirius XM, we see it is relatively higher, thus worse in comparison to the benchmark SPY (13.6%)
- During the last 3 years, the volatility is 23.1%, which is greater, thus worse than the value of 12.8% from the benchmark.

'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:- The downside risk over 5 years of Sirius XM is 24.2%, which is larger, thus worse compared to the benchmark SPY (15%) in the same period.
- Looking at downside deviation in of 26.2% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (14.6%).

'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:- The Sharpe Ratio over 5 years of Sirius XM is 0.48, which is lower, thus worse compared to the benchmark SPY (0.6) in the same period.
- Compared with SPY (0.91) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 0.64 is lower, 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:- Compared with the benchmark SPY (0.54) in the period of the last 5 years, the downside risk / excess return profile of 0.43 of Sirius XM is smaller, thus worse.
- Compared with SPY (0.8) in the period of the last 3 years, the ratio of annual return and downside deviation of 0.56 is lower, thus worse.

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (4.03 ) in the period of the last 5 years, the Ulcer Ratio of 11 of Sirius XM is higher, thus worse.
- Compared with SPY (4.1 ) in the period of the last 3 years, the Ulcer Index of 13 is greater, thus worse.

'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.'

Applying this definition to our asset in some examples:- Looking at the maximum DrawDown of -30.5 days in the last 5 years of Sirius XM, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-19.3 days)
- Looking at maximum drop from peak to valley in of -30.5 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-19.3 days).

'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'

Applying this definition to our asset in some examples:- The maximum days below previous high over 5 years of Sirius XM is 314 days, which is larger, thus worse compared to the benchmark SPY (187 days) in the same period.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days below previous high of 314 days is greater, thus worse.

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. 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 (41 days) in the period of the last 5 years, the average days below previous high of 80 days of Sirius XM is greater, thus worse.
- Looking at average days under water in of 88 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (35 days).

Historical returns have been extended using synthetic data.
[Show Details]

- "Year" returns in the table above are not equal to the sum of monthly returns due to compounding.
- Performance results of Sirius XM 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.