'The total return on a portfolio of investments takes into account not only the capital appreciation on the portfolio, but also the income received on the portfolio. The income typically consists of interest, dividends, and securities lending fees. This contrasts with the price return, which takes into account only the capital gain on an investment.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (32.9%) in the period of the last 5 years, the total return, or increase in value of 113.4% of Broadcom is larger, thus better.
- During the last 3 years, the total return, or performance is 18.4%, which is greater, thus better than the value of 11.6% from the benchmark.

'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.'

Using this definition on our asset we see for example:- The annual performance (CAGR) over 5 years of Broadcom is 16.4%, which is larger, thus better compared to the benchmark SPY (5.8%) in the same period.
- During the last 3 years, the annual performance (CAGR) is 5.8%, which is higher, thus better than the value of 3.7% from the benchmark.

'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:- Compared with the benchmark SPY (18%) in the period of the last 5 years, the volatility of 36.6% of Broadcom is greater, thus worse.
- During the last 3 years, the 30 days standard deviation is 38.5%, which is greater, thus worse than the value of 20.3% from the benchmark.

'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.'

Which means for our asset as example:- Looking at the downside deviation of 25.9% in the last 5 years of Broadcom, we see it is relatively greater, thus worse in comparison to the benchmark SPY (13.4%)
- Looking at downside deviation in of 28.3% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (15.3%).

'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.'

Applying this definition to our asset in some examples:- The Sharpe Ratio over 5 years of Broadcom is 0.38, which is greater, thus better compared to the benchmark SPY (0.19) in the same period.
- Compared with SPY (0.06) in the period of the last 3 years, the risk / return profile (Sharpe) of 0.09 is higher, thus better.

'The Sortino ratio improves upon the Sharpe ratio by isolating downside volatility from total volatility by dividing excess return by the downside deviation. The Sortino ratio is a variation of the Sharpe ratio that differentiates harmful volatility from total overall volatility by using the asset's standard deviation of negative asset returns, called downside deviation. The Sortino ratio takes the asset's return and subtracts the risk-free rate, and then divides that amount by the asset's downside deviation. The ratio was named after Frank A. Sortino.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.25) in the period of the last 5 years, the downside risk / excess return profile of 0.54 of Broadcom is greater, thus better.
- Looking at ratio of annual return and downside deviation in of 0.12 in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (0.08).

'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 Downside risk index of 11 in the last 5 years of Broadcom, we see it is relatively greater, thus worse in comparison to the benchmark SPY (5.17 )
- During the last 3 years, the Downside risk index is 12 , which is higher, thus worse than the value of 5.93 from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum drop from peak to valley of -48.3 days of Broadcom is lower, thus worse.
- Looking at maximum DrawDown in of -48.3 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-33.7 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) in days.'

Applying this definition to our asset in some examples:- Looking at the maximum days under water 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)
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days below previous high of 298 days is greater, thus worse.

'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.'

Using this definition on our asset we see for example:- Looking at the average days under water of 64 days in the last 5 years of Broadcom, we see it is relatively larger, thus worse in comparison to the benchmark SPY (42 days)
- Looking at average days under water in of 84 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (36 days).

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 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.