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 increase in value of 245.4% in the last 5 years of American Express, we see it is relatively greater, thus better in comparison to the benchmark SPY (100.4%)
• Compared with SPY (87.5%) in the period of the last 3 years, the total return of 169% is larger, thus better.

CAGR:

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

• Compared with the benchmark SPY (15%) in the period of the last 5 years, the annual return (CAGR) of 28.2% of American Express is larger, thus better.
• Compared with SPY (23.4%) in the period of the last 3 years, the annual return (CAGR) of 39.3% is larger, 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.'

• Looking at the volatility of 29.3% in the last 5 years of American Express, we see it is relatively greater, thus worse in comparison to the benchmark SPY (17.1%)
• Compared with SPY (15.4%) in the period of the last 3 years, the historical 30 days volatility of 27.3% is larger, thus worse.

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.'

• Looking at the downside deviation of 19.6% in the last 5 years of American Express, we see it is relatively higher, thus worse in comparison to the benchmark SPY (11.8%)
• Looking at downside volatility in of 17.7% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (10.2%).

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 risk / return profile (Sharpe) of 0.88 in the last 5 years of American Express, we see it is relatively larger, thus better in comparison to the benchmark SPY (0.73)
• During the last 3 years, the risk / return profile (Sharpe) is 1.34, which is smaller, thus worse than the value of 1.36 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 (1.06) in the period of the last 5 years, the excess return divided by the downside deviation of 1.32 of American Express is higher, thus better.
• Compared with SPY (2.05) in the period of the last 3 years, the excess return divided by the downside deviation of 2.08 is higher, thus better.

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 Downside risk 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 (8.42 )
• Compared with SPY (3.51 ) in the period of the last 3 years, the Downside risk index of 8.35 is greater, thus worse.

MaxDD:

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum reduction from previous high of -31.5 days of American Express is lower, thus worse.
• During the last 3 years, the maximum reduction from previous high is -28.8 days, which is smaller, thus worse than the value of -18.8 days from the benchmark.

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 time in days below previous high water mark over 5 years of American Express is 486 days, which is lower, thus better compared to the benchmark SPY (488 days) in the same period.
• Looking at maximum days under water 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 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 below previous high 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.
• Compared with SPY (21 days) in the period of the last 3 years, the average days below previous high of 48 days is greater, thus worse.