'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:- The total return, or performance over 5 years of United Technologies is -39.3%, which is smaller, thus worse compared to the benchmark SPY (58.9%) in the same period.
- Looking at total return, or increase in value in of -41.2% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (33.9%).

'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:- Compared with the benchmark SPY (9.7%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of -9.5% of United Technologies is lower, thus worse.
- Compared with SPY (10.2%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of -16.2% is lower, thus worse.

'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.'

Using this definition on our asset we see for example:- Looking at the 30 days standard deviation of 32.9% in the last 5 years of United Technologies, we see it is relatively greater, thus worse in comparison to the benchmark SPY (21.6%)
- Looking at volatility in of 40% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (25%).

'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 volatility over 5 years of United Technologies is 26.9%, which is greater, thus worse compared to the benchmark SPY (15.7%) in the same period.
- During the last 3 years, the downside volatility is 33.2%, which is higher, thus worse than the value of 18.1% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- The Sharpe Ratio over 5 years of United Technologies is -0.36, which is smaller, thus worse compared to the benchmark SPY (0.33) in the same period.
- Compared with SPY (0.31) in the period of the last 3 years, the Sharpe Ratio of -0.47 is smaller, 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:- Compared with the benchmark SPY (0.46) in the period of the last 5 years, the ratio of annual return and downside deviation of -0.45 of United Technologies is lower, thus worse.
- Looking at downside risk / excess return profile in of -0.56 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.43).

'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:- The Ulcer Index over 5 years of United Technologies is 13 , which is larger, thus worse compared to the benchmark SPY (8.91 ) in the same period.
- Compared with SPY (11 ) in the period of the last 3 years, the Downside risk index of 13 is greater, thus worse.

'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.'

Using this definition on our asset we see for example:- Looking at the maximum reduction from previous high of -68 days in the last 5 years of United Technologies, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-33.7 days)
- Compared with SPY (-33.7 days) in the period of the last 3 years, the maximum reduction from previous high of -68 days is smaller, thus worse.

'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.'

Applying this definition to our asset in some examples:- Looking at the maximum time in days below previous high water mark of 486 days in the last 5 years of United Technologies, we see it is relatively larger, thus worse in comparison to the benchmark SPY (271 days)
- Looking at maximum days under water in of 155 days in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (271 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (60 days) in the period of the last 5 years, the average days below previous high of 132 days of United Technologies is larger, thus worse.
- During the last 3 years, the average time in days below previous high water mark is 55 days, which is lower, thus better than the value of 72 days from the benchmark.

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.