'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.'

Applying this definition to our asset in some examples:- Looking at the total return of 398.6% in the last 5 years of Broadcom, we see it is relatively greater, thus better in comparison to the benchmark SPY (67.3%)
- Compared with SPY (46.1%) in the period of the last 3 years, the total return, or increase in value of 105.1% is greater, thus better.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (10.9%) in the period of the last 5 years, the annual performance (CAGR) of 37.9% of Broadcom is larger, thus better.
- Compared with SPY (13.5%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 27.1% is higher, thus better.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (13.2%) in the period of the last 5 years, the 30 days standard deviation of 33.1% of Broadcom is greater, thus worse.
- During the last 3 years, the historical 30 days volatility is 29.3%, which is larger, thus worse than the value of 12.4% from the benchmark.

'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.'

Using this definition on our asset we see for example:- Looking at the downside volatility of 33.6% in the last 5 years of Broadcom, we see it is relatively higher, thus worse in comparison to the benchmark SPY (14.6%)
- Looking at downside risk in of 31.4% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (14%).

'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 1.07 in the last 5 years of Broadcom, we see it is relatively larger, thus better in comparison to the benchmark SPY (0.63)
- Looking at Sharpe Ratio in of 0.84 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.88).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.57) in the period of the last 5 years, the excess return divided by the downside deviation of 1.05 of Broadcom is larger, thus better.
- Looking at excess return divided by the downside deviation in of 0.78 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.79).

'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.'

Which means for our asset as example:- Looking at the Ulcer Ratio of 9.5 in the last 5 years of Broadcom, we see it is relatively greater, thus better in comparison to the benchmark SPY (3.95 )
- Looking at Ulcer Index in of 9.61 in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (4 ).

'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:- The maximum DrawDown over 5 years of Broadcom is -27.4 days, which is smaller, thus worse compared to the benchmark SPY (-19.3 days) in the same period.
- Looking at maximum DrawDown in of -27.4 days in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (-19.3 days).

'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'

Using this definition on our asset we see for example:- Looking at the maximum days below previous high of 298 days in the last 5 years of Broadcom, we see it is relatively higher, thus worse in comparison to the benchmark SPY (187 days)
- During the last 3 years, the maximum days below previous high is 298 days, which is higher, thus worse than the value of 131 days from the benchmark.

'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:- Looking at the average days below previous high of 58 days in the last 5 years of Broadcom, we see it is relatively larger, thus worse in comparison to the benchmark SPY (39 days)
- During the last 3 years, the average days below previous high is 75 days, which is greater, thus worse than the value of 33 days from the benchmark.

Historical returns have been extended using synthetic data.
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- "Year" returns in the table above are not equal to the sum of monthly returns due to compounding.
- Performance results of Broadcom are hypothetical, do not account for slippage, fees or taxes, and are based on backtesting, which has many inherent limitations, some of which are described in our Terms of Use.