'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (109.2%) in the period of the last 5 years, the total return, or increase in value of 49.1% of Altaba is lower, thus worse.
- Looking at total return in of 77.4% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (33.3%).

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (15.9%) in the period of the last 5 years, the annual return (CAGR) of 8.5% of Altaba is lower, thus worse.
- Compared with SPY (10.1%) in the period of the last 3 years, the annual performance (CAGR) of 21.7% is larger, thus better.

'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.'

Applying this definition to our asset in some examples:- The 30 days standard deviation over 5 years of Altaba is 27.7%, which is higher, thus worse compared to the benchmark SPY (20.9%) in the same period.
- During the last 3 years, the volatility is 25.8%, which is larger, thus worse than the value of 17.6% from the benchmark.

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

Using this definition on our asset we see for example:- Looking at the downside risk of 19.3% in the last 5 years of Altaba, we see it is relatively higher, thus worse in comparison to the benchmark SPY (14.9%)
- Compared with SPY (12.3%) in the period of the last 3 years, the downside risk of 17.5% is larger, thus worse.

'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.'

Applying this definition to our asset in some examples:- The ratio of return and volatility (Sharpe) over 5 years of Altaba is 0.22, which is lower, thus worse compared to the benchmark SPY (0.64) in the same period.
- During the last 3 years, the Sharpe Ratio is 0.74, which is higher, thus better than the value of 0.43 from the benchmark.

'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:- Looking at the excess return divided by the downside deviation of 0.31 in the last 5 years of Altaba, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.9)
- Compared with SPY (0.62) in the period of the last 3 years, the downside risk / excess return profile of 1.1 is higher, thus better.

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

Applying this definition to our asset in some examples:- Looking at the Ulcer Ratio of 21 in the last 5 years of Altaba, we see it is relatively larger, thus worse in comparison to the benchmark SPY (9.32 )
- During the last 3 years, the Ulcer Ratio is 12 , which is greater, thus worse than the value of 10 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.'

Which means for our asset as example:- Looking at the maximum DrawDown of -48.9 days in the last 5 years of Altaba, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-33.7 days)
- During the last 3 years, the maximum DrawDown is -32.6 days, which is smaller, thus worse than the value of -24.5 days from the benchmark.

'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.'

Using this definition on our asset we see for example:- Looking at the maximum days under water of 642 days in the last 5 years of Altaba, we see it is relatively larger, thus worse in comparison to the benchmark SPY (488 days)
- Looking at maximum time in days below previous high water mark in of 331 days in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (488 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.'

Applying this definition to our asset in some examples:- The average days under water over 5 years of Altaba is 224 days, which is higher, thus worse compared to the benchmark SPY (123 days) in the same period.
- During the last 3 years, the average time in days below previous high water mark is 92 days, which is smaller, thus better than the value of 176 days from the benchmark.

Historical returns have been extended using synthetic data.
[Show Details]

- Note that yearly returns do not equal the sum of monthly returns due to compounding.
- Performance results of Altaba are hypothetical and do not account for slippage, fees or taxes.