'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 performance of 116.5% in the last 5 years of International Business Machines, we see it is relatively higher, thus better in comparison to the benchmark SPY (111.3%)
- During the last 3 years, the total return, or performance is 96.6%, which is higher, thus better than the value of 39.3% 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.'

Applying this definition to our asset in some examples:- The compounded annual growth rate (CAGR) over 5 years of International Business Machines is 16.7%, which is greater, thus better compared to the benchmark SPY (16.2%) in the same period.
- Looking at annual performance (CAGR) in of 25.3% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (11.7%).

'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:- Compared with the benchmark SPY (20.9%) in the period of the last 5 years, the historical 30 days volatility of 26.4% of International Business Machines is greater, thus worse.
- Looking at historical 30 days volatility in of 21.4% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (17.5%).

'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:- Looking at the downside volatility of 18.7% in the last 5 years of International Business Machines, we see it is relatively higher, thus worse in comparison to the benchmark SPY (14.9%)
- During the last 3 years, the downside deviation is 14.6%, which is larger, thus worse than the value of 12.2% 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:- Compared with the benchmark SPY (0.66) in the period of the last 5 years, the Sharpe Ratio of 0.54 of International Business Machines is lower, thus worse.
- Compared with SPY (0.53) in the period of the last 3 years, the risk / return profile (Sharpe) of 1.07 is greater, thus better.

'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 downside risk / excess return profile over 5 years of International Business Machines is 0.76, which is smaller, thus worse compared to the benchmark SPY (0.92) in the same period.
- Compared with SPY (0.75) in the period of the last 3 years, the excess return divided by the downside deviation of 1.57 is greater, thus better.

'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:- Looking at the Ulcer Ratio of 12 in the last 5 years of International Business Machines, we see it is relatively larger, thus worse in comparison to the benchmark SPY (9.32 )
- Looking at Ulcer Ratio in of 8.05 in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (10 ).

'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:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum drop from peak to valley of -39 days of International Business Machines is lower, thus worse.
- During the last 3 years, the maximum drop from peak to valley is -17.6 days, which is greater, thus better than the value of -24.5 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:- Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days below previous high of 309 days of International Business Machines is smaller, thus better.
- Compared with SPY (488 days) in the period of the last 3 years, the maximum days under water of 174 days is lower, thus better.

'The Average 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. 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 under water over 5 years of International Business Machines is 88 days, which is smaller, thus better compared to the benchmark SPY (124 days) in the same period.
- During the last 3 years, the average days below previous high is 49 days, which is lower, thus better than the value of 179 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 International Business Machines are hypothetical and do not account for slippage, fees or taxes.