'The total return on a portfolio of investments takes into account not only the capital appreciation on the portfolio, but also the income received on the portfolio. The income typically consists of interest, dividends, and securities lending fees. This contrasts with the price return, which takes into account only the capital gain on an investment.'

Applying this definition to our asset in some examples:- Looking at the total return, or increase in value of 25.7% in the last 5 years of Verizon, we see it is relatively lower, thus worse in comparison to the benchmark SPY (121.6%)
- Looking at total return in of 22.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (64.5%).

'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:- Looking at the annual return (CAGR) of 4.7% in the last 5 years of Verizon, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (17.3%)
- Compared with SPY (18.1%) in the period of the last 3 years, the annual return (CAGR) of 7.1% 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.'

Using this definition on our asset we see for example:- The volatility over 5 years of Verizon is 18.9%, 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 volatility of 19.5% is smaller, thus better.

'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.'

Which means for our asset as example:- The downside volatility over 5 years of Verizon is 13%, which is smaller, thus better compared to the benchmark SPY (13.5%) in the same period.
- During the last 3 years, the downside deviation is 13.3%, which is smaller, thus better than the value of 16.4% 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 0.12 in the last 5 years of Verizon, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.79)
- Compared with SPY (0.69) in the period of the last 3 years, the risk / return profile (Sharpe) of 0.23 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.'

Applying this definition to our asset in some examples:- The downside risk / excess return profile over 5 years of Verizon is 0.17, which is lower, thus worse compared to the benchmark SPY (1.09) in the same period.
- During the last 3 years, the ratio of annual return and downside deviation is 0.34, which is smaller, thus worse than the value of 0.95 from the benchmark.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (5.58 ) in the period of the last 5 years, the Ulcer Index of 7.5 of Verizon is greater, thus worse.
- Looking at Ulcer Index in of 5.58 in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (6.83 ).

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

Applying this definition to our asset in some examples:- Looking at the maximum drop from peak to valley of -18.9 days in the last 5 years of Verizon, we see it is relatively higher, thus better in comparison to the benchmark SPY (-33.7 days)
- Looking at maximum DrawDown in of -18.7 days in the period of the last 3 years, we see it is relatively larger, 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'

Using this definition on our asset we see for example:- The maximum days under water over 5 years of Verizon is 345 days, which is higher, thus worse compared to the benchmark SPY (139 days) in the same period.
- During the last 3 years, the maximum time in days below previous high water mark is 175 days, which is larger, thus worse than the value of 139 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (33 days) in the period of the last 5 years, the average days under water of 91 days of Verizon is higher, thus worse.
- Looking at average time in days below previous high water mark in of 57 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (35 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 Verizon 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.