Description

DELISTED - Broadcom Corporation (Broadcom) is a global semiconductor solution for wired and wireless communications. Broadcom products seamlessly deliver voice, video, data and multimedia connectivity in the home, office and mobile environment. The Company provides system-on-a-chip (SoC), and software solutions. The Company's segment includes Broadband Communications, Mobile and Wireless and Infrastructure and Networking. During the fiscal year ended December 31, 2012, operates its business to serve three markets: Broadband Communications, Mobile and Wireless and Infrastructure and Networking. In February 2012, the Company acquired NetLogic Microsystems, Inc. In April 2012, it acquired BroadLight, Inc.

Statistics (YTD)

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TotalReturn:

'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.'

Applying this definition to our asset in some examples:
  • The total return, or performance over 5 years of Broadcom Corp is 29.1%, which is lower, thus worse compared to the benchmark SPY (110.4%) in the same period.
  • Looking at total return, or increase in value in of 75.4% in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (72.5%).

CAGR:

'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:
  • Looking at the compounded annual growth rate (CAGR) of 5.3% in the last 5 years of Broadcom Corp, we see it is relatively lower, thus worse in comparison to the benchmark SPY (16.1%)
  • During the last 3 years, the compounded annual growth rate (CAGR) is 20.7%, which is greater, thus better than the value of 20.1% from the benchmark.

Volatility:

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

Which means for our asset as example:
  • The 30 days standard deviation over 5 years of Broadcom Corp is 31.1%, which is higher, thus worse compared to the benchmark SPY (17.5%) in the same period.
  • Compared with SPY (17.5%) in the period of the last 3 years, the 30 days standard deviation of 27.5% is greater, 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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (12.1%) in the period of the last 5 years, the downside risk of 20.7% of Broadcom Corp is greater, thus worse.
  • During the last 3 years, the downside volatility is 17.4%, which is greater, thus worse than the value of 11.5% from the benchmark.

Sharpe:

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

Applying this definition to our asset in some examples:
  • The ratio of return and volatility (Sharpe) over 5 years of Broadcom Corp is 0.09, which is lower, thus worse compared to the benchmark SPY (0.78) in the same period.
  • Compared with SPY (1.01) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 0.66 is smaller, thus worse.

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.'

Which means for our asset as example:
  • Looking at the downside risk / excess return profile of 0.13 in the last 5 years of Broadcom Corp, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (1.13)
  • Compared with SPY (1.53) in the period of the last 3 years, the ratio of annual return and downside deviation of 1.04 is lower, thus worse.

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.'

Applying this definition to our asset in some examples:
  • Looking at the Ulcer Index of 24 in the last 5 years of Broadcom Corp, we see it is relatively higher, thus worse in comparison to the benchmark SPY (8.48 )
  • Compared with SPY (5.31 ) in the period of the last 3 years, the Ulcer Index of 14 is greater, thus worse.

MaxDD:

'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.'

Using this definition on our asset we see for example:
  • Looking at the maximum drop from peak to valley of -44.8 days in the last 5 years of Broadcom Corp, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-24.5 days)
  • Looking at maximum DrawDown in of -33.6 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.'

Applying this definition to our asset in some examples:
  • Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days below previous high of 1008 days of Broadcom Corp is higher, thus worse.
  • Looking at maximum days under water in of 262 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (199 days).

AveDuration:

'The Average 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. 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 time in days below previous high water mark of 419 days in the last 5 years of Broadcom Corp, we see it is relatively higher, thus worse in comparison to the benchmark SPY (120 days)
  • During the last 3 years, the average days under water is 68 days, which is greater, thus worse than the value of 47 days from the benchmark.

Performance (YTD)

Historical returns have been extended using synthetic data.

Allocations ()

Allocations

Returns (%)

  • Note that yearly returns do not equal the sum of monthly returns due to compounding.
  • Performance results of Broadcom Corp are hypothetical and do not account for slippage, fees or taxes.