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 253% in the last 5 years of American Express, we see it is relatively greater, thus better in comparison to the benchmark SPY (109.7%)
• Looking at total return in of 130% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (70.1%).

CAGR:

'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.'

• Looking at the annual performance (CAGR) of 28.8% in the last 5 years of American Express, we see it is relatively higher, thus better in comparison to the benchmark SPY (16%)
• Compared with SPY (19.5%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 32.2% 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.'

• Compared with the benchmark SPY (17.5%) in the period of the last 5 years, the volatility of 31.2% of American Express is larger, thus worse.
• Looking at 30 days standard deviation in of 28.4% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (17.4%).

DownVol:

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. 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 (12.1%) in the period of the last 5 years, the downside volatility of 20% of American Express is greater, thus worse.
• Looking at downside risk in of 18.5% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (11.5%).

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.'

• Looking at the ratio of return and volatility (Sharpe) of 0.84 in the last 5 years of American Express, we see it is relatively larger, thus better in comparison to the benchmark SPY (0.77)
• Compared with SPY (0.97) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 1.05 is greater, thus better.

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.'

• Looking at the excess return divided by the downside deviation of 1.31 in the last 5 years of American Express, we see it is relatively larger, thus better in comparison to the benchmark SPY (1.12)
• Looking at excess return divided by the downside deviation in of 1.6 in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (1.47).

Ulcer:

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

• Looking at the Ulcer Ratio of 13 in the last 5 years of American Express, we see it is relatively greater, thus worse in comparison to the benchmark SPY (8.48 )
• During the last 3 years, the Downside risk index is 9.07 , which is higher, thus worse than the value of 5.3 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.'

• Looking at the maximum DrawDown of -31.5 days in the last 5 years of American Express, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-24.5 days)
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum DrawDown of -28.8 days is lower, thus worse.

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.'

• Looking at the maximum days below previous high of 486 days in the last 5 years of American Express, we see it is relatively smaller, thus better in comparison to the benchmark SPY (488 days)
• Looking at maximum time in days below previous high water mark in of 211 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (199 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.'

• The average days under water over 5 years of American Express is 117 days, which is smaller, thus better compared to the benchmark SPY (120 days) in the same period.
• Looking at average time in days below previous high water mark in of 55 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (47 days).