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:

'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.'

Which means for our asset as example:
  • Looking at the total return, or increase in value of 29.1% in the last 5 years of Broadcom Corp, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (120.1%)
  • Looking at total return, or performance in of 75.4% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (65.1%).

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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (17.1%) in the period of the last 5 years, the annual return (CAGR) of 5.3% of Broadcom Corp is lower, thus worse.
  • Compared with SPY (18.3%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 20.7% is larger, thus better.

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 greater, thus worse compared to the benchmark SPY (17.6%) in the same period.
  • During the last 3 years, the 30 days standard deviation is 27.5%, which is higher, thus worse than the value of 17.5% from the benchmark.

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.'

Applying this definition to our asset in some examples:
  • 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.
  • Compared with SPY (11.6%) in the period of the last 3 years, the downside volatility of 17.4% is larger, thus worse.

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.'

Which means for our asset as example:
  • Looking at the Sharpe Ratio of 0.09 in the last 5 years of Broadcom Corp, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.83)
  • Looking at Sharpe Ratio in of 0.66 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.9).

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.'

Using this definition on our asset we see for example:
  • The ratio of annual return and downside deviation over 5 years of Broadcom Corp is 0.13, which is lower, thus worse compared to the benchmark SPY (1.21) in the same period.
  • Looking at excess return divided by the downside deviation in of 1.04 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.36).

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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (8.48 ) in the period of the last 5 years, the Downside risk index of 24 of Broadcom Corp is greater, thus worse.
  • Compared with SPY (5.31 ) in the period of the last 3 years, the Downside risk 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.'

Which means for our asset as example:
  • Looking at the maximum DrawDown 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)
  • Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum DrawDown of -33.6 days is smaller, thus worse.

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.'

Which means for our asset as example:
  • 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 greater, thus worse.
  • During the last 3 years, the maximum time in days below previous high water mark is 262 days, which is greater, thus worse than the value of 199 days from the benchmark.

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:
  • Compared with the benchmark SPY (120 days) in the period of the last 5 years, the average days below previous high of 419 days of Broadcom Corp is greater, thus worse.
  • Looking at average time in days below previous high water mark in of 68 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (47 days).

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.