'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 investmentâ€™s overall performance.'

Applying this definition to our asset in some examples:- Looking at the total return, or increase in value of 115.7% in the last 5 years of T-Mobile, we see it is relatively higher, thus better in comparison to the benchmark SPY (80.1%)
- Looking at total return in of 12.5% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (30.8%).

'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.'

Applying this definition to our asset in some examples:- The compounded annual growth rate (CAGR) over 5 years of T-Mobile is 16.7%, which is higher, thus better compared to the benchmark SPY (12.5%) in the same period.
- Compared with SPY (9.4%) in the period of the last 3 years, the annual performance (CAGR) of 4% is smaller, thus worse.

'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 28% in the last 5 years of T-Mobile, we see it is relatively higher, thus worse in comparison to the benchmark SPY (21.3%)
- Compared with SPY (17.6%) in the period of the last 3 years, the historical 30 days volatility of 24.4% is greater, thus worse.

'Risk measures typically quantify the downside risk, whereas the standard deviation (an example of a deviation risk measure) measures both the upside and downside risk. Specifically, downside risk in our definition is the semi-deviation, that is the standard deviation of all negative returns.'

Using this definition on our asset we see for example:- The downside risk over 5 years of T-Mobile is 18.7%, which is larger, thus worse compared to the benchmark SPY (15.3%) in the same period.
- During the last 3 years, the downside risk is 16.7%, which is greater, thus worse than the value of 12.3% from the benchmark.

'The Sharpe ratio is the measure of risk-adjusted return of a financial portfolio. Sharpe ratio is a measure of excess portfolio return over the risk-free rate relative to its standard deviation. Normally, the 90-day Treasury bill rate is taken as the proxy for risk-free rate. A portfolio with a higher Sharpe ratio is considered superior relative to its peers. The measure was named after William F Sharpe, a Nobel laureate and professor of finance, emeritus at Stanford University.'

Using this definition on our asset we see for example:- Looking at the risk / return profile (Sharpe) of 0.51 in the last 5 years of T-Mobile, we see it is relatively greater, thus better in comparison to the benchmark SPY (0.47)
- Compared with SPY (0.39) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 0.06 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.'

Using this definition on our asset we see for example:- The excess return divided by the downside deviation over 5 years of T-Mobile is 0.76, which is larger, thus better compared to the benchmark SPY (0.66) in the same period.
- Looking at excess return divided by the downside deviation in of 0.09 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.56).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (9.43 ) in the period of the last 5 years, the Downside risk index of 9.64 of T-Mobile is greater, thus worse.
- Looking at Ulcer Index in of 11 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (10 ).

'Maximum drawdown is defined as the peak-to-trough decline of an investment during a specific period. It is usually quoted as a percentage of the peak value. The maximum drawdown can be calculated based on absolute returns, in order to identify strategies that suffer less during market downturns, such as low-volatility strategies. However, the maximum drawdown can also be calculated based on returns relative to a benchmark index, for identifying strategies that show steady outperformance over time.'

Using this definition on our asset we see for example:- Looking at the maximum reduction from previous high of -32 days in the last 5 years of T-Mobile, we see it is relatively higher, thus better in comparison to the benchmark SPY (-33.7 days)
- During the last 3 years, the maximum reduction from previous high is -32 days, which is smaller, thus worse than the value of -24.5 days from the benchmark.

'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) in days.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (478 days) in the period of the last 5 years, the maximum days below previous high of 324 days of T-Mobile is lower, thus better.
- Compared with SPY (478 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 324 days is smaller, thus better.

'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 (118 days) in the period of the last 5 years, the average days below previous high of 85 days of T-Mobile is lower, thus better.
- Looking at average time in days below previous high water mark in of 119 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (173 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 T-Mobile 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.