'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 (66.9%) in the period of the last 5 years, the total return, or increase in value of 53.1% of United Technologies is lower, thus worse.
- During the last 3 years, the total return, or performance is 46.5%, which is smaller, thus worse than the value of 50.6% from the benchmark.

'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.'

Which means for our asset as example:- Looking at the annual performance (CAGR) of 8.9% in the last 5 years of United Technologies, we see it is relatively lower, thus worse in comparison to the benchmark SPY (10.8%)
- Looking at annual return (CAGR) in of 13.6% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (14.7%).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (13.5%) in the period of the last 5 years, the volatility of 19% of United Technologies is greater, thus worse.
- Compared with SPY (12.8%) in the period of the last 3 years, the volatility of 19.2% is higher, thus worse.

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

Which means for our asset as example:- Compared with the benchmark SPY (14.8%) in the period of the last 5 years, the downside volatility of 20.5% of United Technologies is greater, thus worse.
- During the last 3 years, the downside risk is 21.5%, which is larger, thus worse than the value of 14.7% 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.'

Which means for our asset as example:- Compared with the benchmark SPY (0.61) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.34 of United Technologies is smaller, thus worse.
- Compared with SPY (0.95) in the period of the last 3 years, the Sharpe Ratio of 0.58 is lower, thus worse.

'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:- Looking at the ratio of annual return and downside deviation of 0.31 in the last 5 years of United Technologies, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.56)
- During the last 3 years, the excess return divided by the downside deviation is 0.52, which is lower, thus worse than the value of 0.83 from the benchmark.

'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.'

Using this definition on our asset we see for example:- Looking at the Ulcer Ratio of 12 in the last 5 years of United Technologies, we see it is relatively larger, thus worse in comparison to the benchmark SPY (3.99 )
- Looking at Ulcer Index in of 7.61 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (4.1 ).

'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.'

Which means for our asset as example:- Looking at the maximum DrawDown of -30.5 days in the last 5 years of United Technologies, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-19.3 days)
- During the last 3 years, the maximum reduction from previous high is -27.8 days, which is lower, thus worse than the value of -19.3 days from the benchmark.

'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) in days.'

Using this definition on our asset we see for example:- The maximum time in days below previous high water mark over 5 years of United Technologies is 548 days, which is higher, thus worse compared to the benchmark SPY (187 days) in the same period.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days below previous high of 155 days is higher, thus worse.

'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:- Looking at the average days below previous high of 158 days in the last 5 years of United Technologies, we see it is relatively greater, thus worse in comparison to the benchmark SPY (42 days)
- Compared with SPY (36 days) in the period of the last 3 years, the average time in days below previous high water mark of 55 days is higher, thus worse.

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 United Technologies 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.