Description

Dollar Tree, Inc. operates discount variety retail stores. It operates through two segments, Dollar Tree and Family Dollar. The Dollar Tree segment offers merchandise at the fixed price of $1.00. It provides consumable merchandise, including candy and food, and health and beauty care, as well as everyday consumables, such as household paper and chemicals, and frozen and refrigerated food; variety merchandise comprising toys, durable housewares, gifts, stationery, party goods, greeting cards, softlines, and other items; and seasonal goods that include Valentine's Day, Easter, Halloween, and Christmas merchandise. This segment operates 7,505 stores under the Dollar Tree and Dollar Tree Canada brands, as well as 13 distribution centers in the United States and 2 in Canada; and a store support center in Chesapeake, Virginia. The Family Dollar segment operates general merchandise discount retail stores that offer consumable merchandise, which comprise food and beverages, tobacco, health and beauty aids, household chemicals, paper products, hardware and automotive supplies, diapers, batteries, and pet food and supplies; and home products, including housewares, home décor, and giftware, as well as domestics, such as comforters, sheets, and towels. Its stores also provides apparel and accessories merchandise comprising clothing, fashion accessories, and shoes; and seasonal and electronics merchandise that include Valentine's Day, Easter, Halloween, and Christmas merchandise, as well as personal electronics, which comprise pre-paid cellular phones and services, stationery and school supplies, and toys. This segment operates 7,783 stores under the Family Dollar brand; and 11 distribution centers. The company was founded in 1986 and is headquartered in Chesapeake, Virginia.

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.'

Using this definition on our asset we see for example:
  • Looking at the total return, or performance of -7.8% in the last 5 years of Dollar Tree, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (108.3%)
  • Looking at total return in of -43.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (49.1%).

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.'

Applying this definition to our asset in some examples:
  • The compounded annual growth rate (CAGR) over 5 years of Dollar Tree is -1.6%, which is lower, thus worse compared to the benchmark SPY (15.8%) in the same period.
  • Compared with SPY (14.3%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of -17.5% is lower, thus worse.

Volatility:

'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.'

Using this definition on our asset we see for example:
  • The 30 days standard deviation over 5 years of Dollar Tree is 38.1%, which is greater, thus worse compared to the benchmark SPY (17.9%) in the same period.
  • Compared with SPY (18.1%) in the period of the last 3 years, the volatility of 37.9% is higher, 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:
  • The downside deviation over 5 years of Dollar Tree is 27.3%, which is larger, thus worse compared to the benchmark SPY (12.4%) in the same period.
  • During the last 3 years, the downside risk is 29.8%, which is higher, thus worse than the value of 12.2% 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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (0.75) in the period of the last 5 years, the Sharpe Ratio of -0.11 of Dollar Tree is lower, thus worse.
  • During the last 3 years, the risk / return profile (Sharpe) is -0.53, which is lower, thus worse than the value of 0.65 from the benchmark.

Sortino:

'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:
  • The excess return divided by the downside deviation over 5 years of Dollar Tree is -0.15, which is smaller, thus worse compared to the benchmark SPY (1.07) in the same period.
  • Compared with SPY (0.97) in the period of the last 3 years, the excess return divided by the downside deviation of -0.67 is smaller, 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.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (8.49 ) in the period of the last 5 years, the Ulcer Index of 29 of Dollar Tree is higher, thus worse.
  • During the last 3 years, the Downside risk index is 36 , which is larger, thus worse than the value of 5.55 from the benchmark.

MaxDD:

'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.'

Using this definition on our asset we see for example:
  • Looking at the maximum DrawDown of -64.8 days in the last 5 years of Dollar Tree, we see it is relatively lower, 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 reduction from previous high of -64.7 days is lower, 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.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 780 days of Dollar Tree is higher, thus worse.
  • Compared with SPY (199 days) in the period of the last 3 years, the maximum days below previous high of 718 days is greater, thus worse.

AveDuration:

'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.'

Applying this definition to our asset in some examples:
  • Looking at the average days under water of 266 days in the last 5 years of Dollar Tree, we see it is relatively higher, thus worse in comparison to the benchmark SPY (119 days)
  • Compared with SPY (46 days) in the period of the last 3 years, the average days below previous high of 348 days is larger, thus worse.

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 Dollar Tree are hypothetical and do not account for slippage, fees or taxes.