'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.'

Which means for our asset as example:- Compared with the benchmark SPY (68.2%) in the period of the last 5 years, the total return, or increase in value of 79.1% of United Continental is higher, thus better.
- Compared with SPY (47.7%) in the period of the last 3 years, the total return, or performance of 34.1% is lower, thus worse.

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (11%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 12.4% of United Continental is larger, thus better.
- Compared with SPY (13.9%) in the period of the last 3 years, the annual return (CAGR) of 10.3% is smaller, thus worse.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (13.2%) in the period of the last 5 years, the volatility of 35.7% of United Continental is higher, thus worse.
- Looking at volatility in of 32.7% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (12.4%).

'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.'

Using this definition on our asset we see for example:- Looking at the downside volatility of 36.6% in the last 5 years of United Continental, we see it is relatively greater, thus worse in comparison to the benchmark SPY (14.6%)
- Looking at downside deviation in of 35.6% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (14%).

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

Using this definition on our asset we see for example:- The risk / return profile (Sharpe) over 5 years of United Continental is 0.28, which is smaller, thus worse compared to the benchmark SPY (0.64) in the same period.
- During the last 3 years, the Sharpe Ratio is 0.24, which is lower, thus worse than the value of 0.92 from the benchmark.

'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.'

Applying this definition to our asset in some examples:- The ratio of annual return and downside deviation over 5 years of United Continental is 0.27, which is lower, thus worse compared to the benchmark SPY (0.58) in the same period.
- During the last 3 years, the excess return divided by the downside deviation is 0.22, which is lower, thus worse than the value of 0.81 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:- The Ulcer Index over 5 years of United Continental is 19 , which is larger, thus better compared to the benchmark SPY (3.95 ) in the same period.
- During the last 3 years, the Ulcer Index is 16 , which is larger, thus better than the value of 4 from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Looking at the maximum DrawDown of -48.7 days in the last 5 years of United Continental, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-19.3 days)
- Looking at maximum DrawDown in of -38.3 days in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (-19.3 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'

Which means for our asset as example:- Looking at the maximum time in days below previous high water mark of 473 days in the last 5 years of United Continental, we see it is relatively larger, thus worse in comparison to the benchmark SPY (187 days)
- During the last 3 years, the maximum time in days below previous high water mark is 296 days, which is larger, thus worse than the value of 131 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.'

Applying this definition to our asset in some examples:- The average days below previous high over 5 years of United Continental is 139 days, which is greater, thus worse compared to the benchmark SPY (39 days) in the same period.
- During the last 3 years, the average days below previous high is 92 days, which is greater, thus worse than the value of 33 days from the benchmark.

Historical returns have been extended using synthetic data.
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- "Year" returns in the table above are not equal to the sum of monthly returns due to compounding.
- Performance results of United Continental 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.