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 performance of 134.5% in the last 5 years of American Express, we see it is relatively greater, thus better in comparison to the benchmark SPY (90.2%)
• Compared with SPY (79.5%) in the period of the last 3 years, the total return, or performance of 81.8% is higher, 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.'

• Looking at the annual return (CAGR) of 18.7% in the last 5 years of American Express, we see it is relatively larger, thus better in comparison to the benchmark SPY (13.8%)
• Looking at compounded annual growth rate (CAGR) in of 22.2% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (21.7%).

Volatility:

'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.'

• The volatility over 5 years of American Express is 29.5%, which is larger, thus worse compared to the benchmark SPY (17%) in the same period.
• During the last 3 years, the historical 30 days volatility is 27.6%, which is higher, thus worse than the value of 15.1% from the benchmark.

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.'

• Looking at the downside volatility of 20.2% in the last 5 years of American Express, we see it is relatively larger, thus worse in comparison to the benchmark SPY (11.7%)
• Compared with SPY (10.1%) in the period of the last 3 years, the downside risk of 19.1% is greater, thus worse.

Sharpe:

'The Sharpe ratio is the measure of risk-adjusted return of a financial portfolio. Sharpe ratio is a measure of excess portfolio return over the risk-free rate relative to its standard deviation. Normally, the 90-day Treasury bill rate is taken as the proxy for risk-free rate. A portfolio with a higher Sharpe ratio is considered superior relative to its peers. The measure was named after William F Sharpe, a Nobel laureate and professor of finance, emeritus at Stanford University.'

• The risk / return profile (Sharpe) over 5 years of American Express is 0.55, which is lower, thus worse compared to the benchmark SPY (0.66) in the same period.
• During the last 3 years, the ratio of return and volatility (Sharpe) is 0.71, which is smaller, thus worse than the value of 1.27 from the benchmark.

Sortino:

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

• Compared with the benchmark SPY (0.96) in the period of the last 5 years, the excess return divided by the downside deviation of 0.8 of American Express is lower, thus worse.
• During the last 3 years, the downside risk / excess return profile is 1.03, which is lower, thus worse than the value of 1.9 from the benchmark.

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 (8.42 ) in the period of the last 5 years, the Ulcer Ratio of 13 of American Express is greater, thus worse.
• Looking at Ulcer Ratio in of 8.3 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (3.4 ).

MaxDD:

'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.'

• The maximum reduction from previous high over 5 years of American Express is -31.5 days, which is lower, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
• Looking at maximum drop from peak to valley in of -28.8 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-18.8 days).

MaxDuration:

'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). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

• The maximum days under water over 5 years of American Express is 486 days, which is smaller, thus better compared to the benchmark SPY (488 days) in the same period.
• Compared with SPY (87 days) in the period of the last 3 years, the maximum days below previous high of 109 days is higher, thus worse.

AveDuration:

'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.'

• Looking at the average days below previous high of 117 days in the last 5 years of American Express, we see it is relatively lower, thus better in comparison to the benchmark SPY (119 days)
• Compared with SPY (19 days) in the period of the last 3 years, the average days under water of 30 days is larger, thus worse.