Goldman Sachs Group (GS)

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 264.5% in the last 5 years of Goldman Sachs Group, we see it is relatively higher, thus better in comparison to the benchmark SPY (95%)
• During the last 3 years, the total return, or increase in value is 186.8%, which is larger, thus better than the value of 86.2% from the benchmark.

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.'

• The annual return (CAGR) over 5 years of Goldman Sachs Group is 29.6%, which is higher, thus better compared to the benchmark SPY (14.3%) in the same period.
• During the last 3 years, the annual performance (CAGR) is 42.3%, which is greater, thus better than the value of 23.1% 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.'

• Looking at the 30 days standard deviation of 27.2% in the last 5 years of Goldman Sachs Group, we see it is relatively higher, thus worse in comparison to the benchmark SPY (17.1%)
• Looking at 30 days standard deviation in of 27.3% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (15.3%).

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 risk over 5 years of Goldman Sachs Group is 18%, which is higher, thus worse compared to the benchmark SPY (11.8%) in the same period.
• Looking at downside risk in of 17.8% in the period of the last 3 years, we see it is relatively greater, 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 Sharpe Ratio of 1 in the last 5 years of Goldman Sachs Group, we see it is relatively greater, thus better in comparison to the benchmark SPY (0.69)
• Compared with SPY (1.35) in the period of the last 3 years, the risk / return profile (Sharpe) of 1.46 is higher, 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.'

• The ratio of annual return and downside deviation over 5 years of Goldman Sachs Group is 1.51, which is greater, thus better compared to the benchmark SPY (1.01) in the same period.
• Compared with SPY (2.03) in the period of the last 3 years, the downside risk / excess return profile of 2.23 is greater, 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.'

• The Ulcer Index over 5 years of Goldman Sachs Group is 13 , which is greater, thus worse compared to the benchmark SPY (8.42 ) in the same period.
• Compared with SPY (3.51 ) in the period of the last 3 years, the Downside risk index of 8.35 is higher, 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.'

• Looking at the maximum reduction from previous high of -32.8 days in the last 5 years of Goldman Sachs Group, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-24.5 days)
• Looking at maximum DrawDown in of -30.9 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-18.8 days).

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.'

• The maximum time in days below previous high water mark over 5 years of Goldman Sachs Group is 596 days, which is larger, thus worse compared to the benchmark SPY (488 days) in the same period.
• Looking at maximum time in days below previous high water mark in of 213 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.'

• Looking at the average days under water of 164 days in the last 5 years of Goldman Sachs Group, we see it is relatively greater, thus worse in comparison to the benchmark SPY (119 days)
• Compared with SPY (21 days) in the period of the last 3 years, the average days under water of 46 days is greater, thus worse.