T-Mobile US, Inc. - Common Stock

'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:- The total return over 5 years of T-Mobile is 172.9%, which is greater, thus better compared to the benchmark SPY (67.6%) in the same period.
- Looking at total return in of 69.9% in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (36.7%).

'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.'

Applying this definition to our asset in some examples:- Looking at the annual return (CAGR) of 22.2% in the last 5 years of T-Mobile, we see it is relatively greater, thus better in comparison to the benchmark SPY (10.9%)
- During the last 3 years, the annual return (CAGR) is 19.4%, which is higher, thus better than the value of 11% from the benchmark.

'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:- Compared with the benchmark SPY (19%) in the period of the last 5 years, the 30 days standard deviation of 29% of T-Mobile is higher, thus worse.
- Looking at historical 30 days volatility in of 30% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (22%).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (13.9%) in the period of the last 5 years, the downside deviation of 19.5% of T-Mobile is higher, thus worse.
- During the last 3 years, the downside risk is 20%, which is higher, thus worse than the value of 16.2% 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.'

Applying this definition to our asset in some examples:- Looking at the Sharpe Ratio of 0.68 in the last 5 years of T-Mobile, we see it is relatively greater, thus better in comparison to the benchmark SPY (0.44)
- Compared with SPY (0.39) in the period of the last 3 years, the risk / return profile (Sharpe) of 0.56 is greater, thus better.

'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:- Looking at the excess return divided by the downside deviation of 1.01 in the last 5 years of T-Mobile, we see it is relatively larger, thus better in comparison to the benchmark SPY (0.6)
- Compared with SPY (0.53) in the period of the last 3 years, the excess return divided by the downside deviation of 0.84 is larger, thus better.

'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 (5.91 ) in the period of the last 5 years, the Ulcer Index of 7.71 of T-Mobile is greater, thus worse.
- During the last 3 years, the Ulcer Index is 6.97 , which is lower, thus better than the value of 7 from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Looking at the maximum drop from peak to valley of -26 days in the last 5 years of T-Mobile, we see it is relatively greater, thus better in comparison to the benchmark SPY (-33.7 days)
- Looking at maximum DrawDown in of -26 days in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (-33.7 days).

'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.'

Using this definition on our asset we see for example:- Looking at the maximum time in days below previous high water mark of 322 days in the last 5 years of T-Mobile, we see it is relatively greater, thus worse in comparison to the benchmark SPY (187 days)
- Looking at maximum days below previous high in of 143 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (139 days).

'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 days under water over 5 years of T-Mobile is 74 days, which is higher, thus worse compared to the benchmark SPY (45 days) in the same period.
- Looking at average days below previous high in of 43 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (42 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.