'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:- Looking at the total return, or increase in value of 171.4% in the last 5 years of Charter Communications, we see it is relatively larger, thus better in comparison to the benchmark SPY (129.1%)
- Looking at total return in of 122.7% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (71.3%).

'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.'

Using this definition on our asset we see for example:- The annual performance (CAGR) over 5 years of Charter Communications is 22.1%, which is larger, thus better compared to the benchmark SPY (18.1%) in the same period.
- During the last 3 years, the compounded annual growth rate (CAGR) is 30.6%, which is larger, thus better than the value of 19.7% from the benchmark.

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

Using this definition on our asset we see for example:- The 30 days standard deviation over 5 years of Charter Communications is 28%, which is larger, thus worse compared to the benchmark SPY (18.7%) in the same period.
- During the last 3 years, the 30 days standard deviation is 28.4%, which is larger, thus worse than the value of 22.5% from the benchmark.

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

Applying this definition to our asset in some examples:- The downside risk over 5 years of Charter Communications is 19%, which is larger, thus worse compared to the benchmark SPY (13.6%) in the same period.
- During the last 3 years, the downside risk is 18.9%, which is larger, thus worse than the value of 16.3% 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:- The risk / return profile (Sharpe) over 5 years of Charter Communications is 0.7, which is lower, thus worse compared to the benchmark SPY (0.83) in the same period.
- Looking at Sharpe Ratio in of 0.99 in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (0.76).

'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.'

Which means for our asset as 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 1.03 of Charter Communications is smaller, thus worse.
- Looking at excess return divided by the downside deviation in of 1.49 in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (1.05).

'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.'

Applying this definition to our asset in some examples:- The Downside risk index over 5 years of Charter Communications is 13 , which is greater, thus worse compared to the benchmark SPY (5.59 ) in the same period.
- Looking at Ulcer Index in of 6.39 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (6.38 ).

'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 -35.1 days in the last 5 years of Charter Communications, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-33.7 days)
- Looking at maximum drop from peak to valley in of -31.5 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 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 Charter Communications is 461 days, which is higher, thus worse compared to the benchmark SPY (139 days) in the same period.
- Looking at maximum days under water in of 103 days in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (119 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 Charter Communications is 107 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 20 days in the period of the last 3 years, we see it is relatively lower, thus better 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 Charter Communications 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.