T-Mobile (TMUS)

TotalReturn:

'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.'

• Compared with the benchmark SPY (109.3%) in the period of the last 5 years, the total return of 162.6% of T-Mobile is higher, thus better.
• Looking at total return, or increase in value in of 84.8% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (34.3%).

CAGR:

'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.'

• The annual performance (CAGR) over 5 years of T-Mobile is 21.4%, which is greater, thus better compared to the benchmark SPY (16%) in the same period.
• During the last 3 years, the annual return (CAGR) is 22.8%, which is larger, thus better than the value of 10.4% from the benchmark.

Volatility:

'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.'

• The 30 days standard deviation over 5 years of T-Mobile is 24.9%, which is larger, thus worse compared to the benchmark SPY (18%) in the same period.
• Compared with SPY (18.8%) in the period of the last 3 years, the 30 days standard deviation of 23.1% is larger, thus worse.

DownVol:

'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.'

• Looking at the downside deviation of 17% in the last 5 years of T-Mobile, we see it is relatively higher, thus worse in comparison to the benchmark SPY (12.5%)
• Compared with SPY (13%) in the period of the last 3 years, the downside volatility of 16.7% is higher, thus worse.

Sharpe:

'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.'

• Looking at the Sharpe Ratio of 0.76 in the last 5 years of T-Mobile, we see it is relatively higher, thus better in comparison to the benchmark SPY (0.75)
• Compared with SPY (0.42) in the period of the last 3 years, the Sharpe Ratio of 0.88 is higher, thus better.

Sortino:

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

• The excess return divided by the downside deviation over 5 years of T-Mobile is 1.11, which is higher, thus better compared to the benchmark SPY (1.07) in the same period.
• Compared with SPY (0.6) in the period of the last 3 years, the excess return divided by the downside deviation of 1.22 is greater, thus better.

Ulcer:

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

• Looking at the Ulcer Index of 9.07 in the last 5 years of T-Mobile, we see it is relatively higher, thus worse in comparison to the benchmark SPY (8.45 )
• During the last 3 years, the Ulcer Index is 5.67 , which is lower, thus better than the value of 5.75 from the benchmark.

MaxDD:

'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.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum reduction from previous high of -32 days of T-Mobile is lower, thus worse.
• Looking at maximum DrawDown in of -17 days in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (-18.8 days).

MaxDuration:

'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.'

• Looking at the maximum days below previous high of 324 days in the last 5 years of T-Mobile, we see it is relatively smaller, thus better in comparison to the benchmark SPY (488 days)
• During the last 3 years, the maximum days under water is 249 days, which is larger, thus worse than the value of 199 days from the benchmark.

AveDuration:

'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.'

• Looking at the average time in days below previous high water mark of 82 days in the last 5 years of T-Mobile, we see it is relatively lower, thus better in comparison to the benchmark SPY (118 days)
• During the last 3 years, the average time in days below previous high water mark is 57 days, which is larger, thus worse than the value of 45 days from the benchmark.