American Express (AXP)

TotalReturn:

'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.'

• Looking at the total return, or performance of 176.6% in the last 5 years of American Express, we see it is relatively larger, thus better in comparison to the benchmark SPY (86%)
• Compared with SPY (71.8%) in the period of the last 3 years, the total return of 93% is larger, 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.'

• The annual performance (CAGR) over 5 years of American Express is 22.6%, which is larger, thus better compared to the benchmark SPY (13.3%) in the same period.
• Looking at annual return (CAGR) in of 24.6% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (19.9%).

Volatility:

'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.'

• Compared with the benchmark SPY (17%) in the period of the last 5 years, the volatility of 29.1% of American Express is higher, thus worse.
• Compared with SPY (15.2%) in the period of the last 3 years, the historical 30 days volatility of 26.8% is larger, thus worse.

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 (11.8%) in the period of the last 5 years, the downside volatility of 19.6% of American Express is greater, thus worse.
• Compared with SPY (10.2%) in the period of the last 3 years, the downside volatility of 18.1% is larger, thus worse.

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.'

• The risk / return profile (Sharpe) over 5 years of American Express is 0.69, which is greater, thus better compared to the benchmark SPY (0.63) in the same period.
• Looking at ratio of return and volatility (Sharpe) in of 0.82 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (1.14).

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 excess return divided by the downside deviation over 5 years of American Express is 1.03, which is larger, thus better compared to the benchmark SPY (0.92) in the same period.
• Compared with SPY (1.7) in the period of the last 3 years, the ratio of annual return and downside deviation of 1.22 is lower, 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.'

• The Ulcer Ratio over 5 years of American Express is 13 , which is higher, thus worse compared to the benchmark SPY (8.42 ) in the same period.
• Compared with SPY (3.48 ) in the period of the last 3 years, the Downside risk index of 8.45 is larger, thus worse.

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.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum DrawDown of -31.5 days of American Express is smaller, thus worse.
• Looking at maximum DrawDown in of -28.8 days in the period of the last 3 years, we see it is relatively smaller, 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'

• 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 days below previous high in of 211 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (87 days).

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.'

• The average time in days below previous high water mark over 5 years of American Express is 117 days, which is lower, thus better compared to the benchmark SPY (119 days) in the same period.
• Looking at average time in days below previous high water mark in of 48 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (19 days).