American Express (AXP)

TotalReturn:

'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

• The total return over 5 years of American Express is 202.1%, which is higher, thus better compared to the benchmark SPY (90.8%) in the same period.
• Compared with SPY (75.3%) in the period of the last 3 years, the total return, or performance of 111% is greater, thus better.

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.'

• Compared with the benchmark SPY (13.8%) in the period of the last 5 years, the annual performance (CAGR) of 24.8% of American Express is higher, thus better.
• During the last 3 years, the compounded annual growth rate (CAGR) is 28.4%, which is larger, thus better than the value of 20.7% from the benchmark.

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%) in the period of the last 5 years, the 30 days standard deviation of 29.1% of American Express is greater, thus worse.
• During the last 3 years, the historical 30 days volatility is 26.7%, which is greater, thus worse than the value of 15.2% from the benchmark.

DownVol:

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

• The downside volatility over 5 years of American Express is 19.5%, which is greater, thus worse compared to the benchmark SPY (11.7%) in the same period.
• During the last 3 years, the downside deviation is 17.9%, which is greater, thus worse than the value of 10.2% from the benchmark.

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.'

• Looking at the Sharpe Ratio of 0.77 in the last 5 years of American Express, we see it is relatively larger, thus better in comparison to the benchmark SPY (0.67)
• Compared with SPY (1.2) in the period of the last 3 years, the Sharpe Ratio of 0.97 is lower, thus worse.

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.'

• Looking at the excess return divided by the downside deviation of 1.14 in the last 5 years of American Express, we see it is relatively higher, thus better in comparison to the benchmark SPY (0.97)
• Looking at downside risk / excess return profile in of 1.45 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.78).

Ulcer:

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

• Looking at the Ulcer Index of 13 in the last 5 years of American Express, we see it is relatively higher, thus worse in comparison to the benchmark SPY (8.42 )
• Compared with SPY (3.49 ) in the period of the last 3 years, the Downside risk index of 8.42 is larger, thus worse.

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 drop from peak to valley over 5 years of American Express is -31.5 days, which is smaller, 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 days under water of 486 days of American Express is smaller, thus better.
• Looking at maximum days under water in of 211 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (87 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 (119 days) in the period of the last 5 years, the average days below previous high of 117 days of American Express is smaller, thus better.
• Compared with SPY (20 days) in the period of the last 3 years, the average days below previous high of 48 days is higher, thus worse.