'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.'

Which means for our asset as example:- Compared with the benchmark SPY (129.1%) in the period of the last 5 years, the total return, or increase in value of 154.3% of T-Mobile is higher, thus better.
- During the last 3 years, the total return is 73.9%, which is larger, thus better than the value of 71.3% from the benchmark.

'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.'

Which means for our asset as example:- The annual performance (CAGR) over 5 years of T-Mobile is 20.5%, which is greater, thus better compared to the benchmark SPY (18.1%) in the same period.
- Compared with SPY (19.7%) in the period of the last 3 years, the annual performance (CAGR) of 20.2% is greater, thus better.

'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.'

Using this definition on our asset we see for example:- The volatility over 5 years of T-Mobile is 27.8%, which is larger, thus worse compared to the benchmark SPY (18.7%) in the same period.
- Compared with SPY (22.5%) in the period of the last 3 years, the historical 30 days volatility of 29.9% is higher, thus worse.

'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 volatility of 18.3% in the last 5 years of T-Mobile, we see it is relatively higher, thus worse in comparison to the benchmark SPY (13.6%)
- During the last 3 years, the downside deviation is 19.9%, which is greater, thus worse than the value of 16.3% from the benchmark.

'The Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) is a way to examine the performance of an investment by adjusting for its risk. The ratio measures the excess return (or risk premium) per unit of deviation in an investment asset or a trading strategy, typically referred to as risk, named after William F. Sharpe.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (0.83) in the period of the last 5 years, the risk / return profile (Sharpe) of 0.65 of T-Mobile is lower, thus worse.
- Compared with SPY (0.76) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 0.59 is lower, thus worse.

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (1.15) in the period of the last 5 years, the excess return divided by the downside deviation of 0.99 of T-Mobile is smaller, thus worse.
- Looking at ratio of annual return and downside deviation in of 0.89 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.05).

'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.'

Which means for our asset as example:- The Ulcer Ratio over 5 years of T-Mobile is 7.53 , which is larger, thus worse compared to the benchmark SPY (5.59 ) in the same period.
- Compared with SPY (6.38 ) in the period of the last 3 years, the Ulcer Index of 6.88 is larger, thus worse.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum DrawDown of -26 days of T-Mobile is greater, thus better.
- During the last 3 years, the maximum reduction from previous high is -26 days, which is higher, thus better than the value of -33.7 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.'

Which means for our asset as example:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum days below previous high of 322 days of T-Mobile is higher, thus worse.
- During the last 3 years, the maximum time in days below previous high water mark is 134 days, which is larger, thus worse than the value of 119 days from the benchmark.

'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.'

Which means for our asset as example:- The average time in days below previous high water mark over 5 years of T-Mobile is 66 days, which is higher, thus worse compared to the benchmark SPY (32 days) in the same period.
- Looking at average days below previous high in of 31 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (25 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.