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 of 135% in the last 5 years of American Express, we see it is relatively larger, thus better in comparison to the benchmark SPY (82.2%)
• During the last 3 years, the total return, or performance is 109.9%, which is higher, thus better than the value of 78.3% from the benchmark.

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 (12.8%) in the period of the last 5 years, the annual return (CAGR) of 18.7% of American Express is higher, thus better.
• Compared with SPY (21.3%) in the period of the last 3 years, the annual return (CAGR) of 28.2% is higher, thus better.

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.'

• Compared with the benchmark SPY (17.1%) in the period of the last 5 years, the historical 30 days volatility of 29.4% of American Express is larger, thus worse.
• Looking at 30 days standard deviation in of 27.1% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (15.2%).

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.'

• The downside deviation over 5 years of American Express is 20.1%, which is larger, thus worse compared to the benchmark SPY (11.8%) in the same period.
• Compared with SPY (10.1%) in the period of the last 3 years, the downside deviation of 18.6% 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 Sharpe Ratio over 5 years of American Express is 0.55, which is smaller, thus worse compared to the benchmark SPY (0.6) in the same period.
• Compared with SPY (1.24) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 0.95 is lower, thus worse.

Sortino:

'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.'

• The ratio of annual return and downside deviation over 5 years of American Express is 0.81, which is lower, thus worse compared to the benchmark SPY (0.87) in the same period.
• Compared with SPY (1.86) in the period of the last 3 years, the ratio of annual return and downside deviation of 1.38 is smaller, thus worse.

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.'

• Looking at the Ulcer Index of 13 in the last 5 years of American Express, we see it is relatively greater, thus worse in comparison to the benchmark SPY (8.45 )
• During the last 3 years, the Ulcer Ratio is 8.79 , which is greater, thus worse than the value of 3.5 from the benchmark.

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 DrawDown 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.
• During the last 3 years, the maximum reduction from previous high is -28.8 days, which is lower, thus worse than the value of -18.8 days from the benchmark.

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 time in days below previous high water mark of 486 days of American Express is lower, thus better.
• During the last 3 years, the maximum days under water is 109 days, which is larger, thus worse than the value of 87 days from the benchmark.

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.'

• Looking at the average days below previous high of 118 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 (20 days) in the period of the last 3 years, the average time in days below previous high water mark of 29 days is larger, thus worse.