'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.'

Applying this definition to our asset in some examples:- The total return over 5 years of SPDR Gold Trust is 85.4%, which is smaller, thus worse compared to the benchmark SPY (100.7%) in the same period.
- Looking at total return, or performance in of 28% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (33.2%).

'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.'

Using this definition on our asset we see for example:- The annual performance (CAGR) over 5 years of SPDR Gold Trust is 13.2%, which is lower, thus worse compared to the benchmark SPY (15%) in the same period.
- Looking at compounded annual growth rate (CAGR) in of 8.6% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (10%).

'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.'

Which means for our asset as example:- Looking at the historical 30 days volatility of 15.2% in the last 5 years of SPDR Gold Trust, we see it is relatively lower, thus better in comparison to the benchmark SPY (20.9%)
- Looking at historical 30 days volatility in of 13.9% in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (17.3%).

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

Which means for our asset as example:- The downside volatility over 5 years of SPDR Gold Trust is 10.6%, which is lower, thus better compared to the benchmark SPY (15%) in the same period.
- During the last 3 years, the downside deviation is 9.5%, which is smaller, thus better than the value of 12% from the benchmark.

'The Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) is a way to examine the performance of an investment by adjusting for its risk. The ratio measures the excess return (or risk premium) per unit of deviation in an investment asset or a trading strategy, typically referred to as risk, named after William F. Sharpe.'

Using this definition on our asset we see for example:- Looking at the risk / return profile (Sharpe) of 0.7 in the last 5 years of SPDR Gold Trust, we see it is relatively greater, thus better in comparison to the benchmark SPY (0.6)
- During the last 3 years, the risk / return profile (Sharpe) is 0.44, which is greater, thus better than the value of 0.44 from the benchmark.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (0.83) in the period of the last 5 years, the ratio of annual return and downside deviation of 1.01 of SPDR Gold Trust is higher, thus better.
- During the last 3 years, the downside risk / excess return profile is 0.64, which is greater, thus better than the value of 0.62 from the benchmark.

'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.'

Which means for our asset as example:- The Ulcer Index over 5 years of SPDR Gold Trust is 9.77 , which is higher, thus worse compared to the benchmark SPY (9.32 ) in the same period.
- Compared with SPY (10 ) in the period of the last 3 years, the Downside risk index of 8.63 is smaller, thus better.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum DrawDown of -22 days of SPDR Gold Trust is larger, thus better.
- During the last 3 years, the maximum reduction from previous high is -21 days, which is larger, thus better than the value of -24.5 days from the benchmark.

'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) in days.'

Which means for our asset as example:- The maximum time in days below previous high water mark over 5 years of SPDR Gold Trust is 897 days, which is higher, 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 436 days in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (488 days).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (123 days) in the period of the last 5 years, the average days below previous high of 349 days of SPDR Gold Trust is larger, thus worse.
- Compared with SPY (180 days) in the period of the last 3 years, the average days below previous high of 158 days is smaller, thus better.

Historical returns have been extended using synthetic data.
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- Note that yearly returns do not equal the sum of monthly returns due to compounding.
- Performance results of SPDR Gold Trust are hypothetical and do not account for slippage, fees or taxes.