American Express (AXP)

TotalReturn:

'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.'

• Looking at the total return, or increase in value of 160.6% in the last 5 years of American Express, we see it is relatively larger, thus better in comparison to the benchmark SPY (101.9%)
• Compared with SPY (33.5%) in the period of the last 3 years, the total return, or performance of 92.3% is greater, thus better.

CAGR:

'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.'

• Compared with the benchmark SPY (15.1%) in the period of the last 5 years, the annual return (CAGR) of 21.1% of American Express is greater, thus better.
• Compared with SPY (10.1%) in the period of the last 3 years, the annual performance (CAGR) of 24.4% is higher, thus better.

Volatility:

'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.'

• The historical 30 days volatility over 5 years of American Express is 38.5%, which is greater, thus worse compared to the benchmark SPY (21%) in the same period.
• Looking at historical 30 days volatility in of 29% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (17.5%).

DownVol:

'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.'

• Compared with the benchmark SPY (15%) in the period of the last 5 years, the downside deviation of 25% of American Express is greater, thus worse.
• During the last 3 years, the downside risk is 19.4%, which is greater, thus worse than the value of 12.3% from the benchmark.

Sharpe:

'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.'

• Compared with the benchmark SPY (0.6) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.48 of American Express is lower, thus worse.
• Looking at ratio of return and volatility (Sharpe) in of 0.76 in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (0.44).

Sortino:

'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.'

• The ratio of annual return and downside deviation over 5 years of American Express is 0.75, which is smaller, thus worse compared to the benchmark SPY (0.84) in the same period.
• Looking at excess return divided by the downside deviation in of 1.13 in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (0.62).

Ulcer:

'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.'

• Compared with the benchmark SPY (9.32 ) in the period of the last 5 years, the Ulcer Ratio of 17 of American Express is greater, thus worse.
• Looking at Ulcer Index in of 15 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (10 ).

MaxDD:

'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.'

• The maximum drop from peak to valley over 5 years of American Express is -49.6 days, which is smaller, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
• Looking at maximum drop from peak to valley in of -31.5 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-24.5 days).

MaxDuration:

'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.'

• Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days under water of 486 days of American Express is lower, thus better.
• Looking at maximum time in days below previous high water mark in of 486 days in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (488 days).

AveDuration:

'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.'

• Compared with the benchmark SPY (122 days) in the period of the last 5 years, the average days under water of 136 days of American Express is higher, thus worse.
• Looking at average days below previous high in of 175 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (177 days).