Tuesday, October 28, 2025

MBA 5008 - Applied Business Analytics: Stock Data Analysis for Crocs, Inc. (9/2/2024)


Slide 1:

Figure 1: Crocs logo. Adapted from “The Crocs Logo History, Color, Fonts, and Meaning,” by B. Sandu, 2023, Design Your Way. https://www.designyourway.net/blog/crocs-logo/

Slide 2: Overview

Figure 2: Hourglass and data icon. Image from Microsoft Office 16.

Slide 3: Business Context – Crocs, Inc.

In 2002, George Boedecker Jr. and Lyndon Hanson created a non-slip, waterproof, lightweight, slip-on boating shoe from proprietary Croslite foam (Crocs, Inc., 2005). Later that year, Boedecker and Hanson launched the product at a boat show, which was a success (Crocs, Inc., 2005). Today, Crocs, Inc. is publicly traded (NYSE: CROX) and one of the top ten global leaders in the non-athletic footwear industry (Crocs, Inc., 2021). Crocs sells approximately 150 million pairs of shoes annually, earning the company four billion in revenue for 2023 (Crocs, Inc., 2024c).

In 2022, Crocs, Inc. acquired HEYDUDE to help further its global expansion (Crocs, Inc., 2021). The company’s brands are sold in over 85 countries and distributed through wholesale and business-to-consumer channels (Crocs, 2024, May). In 2022, Crocs, Inc. acquired Italian company HEYDUDE to help further its global expansion (Crocs, 2021). As of September 30th, 2023, Crocs reported revenue growth in Asia at 37%,  America at 7%, and Europe, the Middle East, Africa, and Latin America (EMEALA) at 17% (Crocs, Inc., 2024a).

Crocs, Inc. ended 2023 with a record year in revenue at over four billion, an increase of 11.5% from last year. Crocs’ price-to-earnings ratio is 9.3x, much lower than that of similar companies within its industry and the industry ratio, so it is a good value. There are two considerable risks associated with CROX. First, Crocs, Inc. has a high debt-to-equity ratio of 92.5 due to its total debt of $1.5 billion and shareholder equity of $1.78 billion (Simply Wall St, 2024). Second, there has been significant insider selling within the last three months. CEO Andrew Rees sold 10k of his shares on June 17th for $160 million, and on August 7th, Douglas Treff, Director at Crocs, Inc., sold 10,594 shares (Simply Wall St, 2024).

The stock price is trading significantly lower than expected at $121.05, 63.7% lower than analysts’ estimated value. Analysts agree that this stock price will increase an average of 31% (Simply Wall St, 2024). Crox has an Average Brokerage Ratio (ABR) of 1.36, which indicates a buy or strong buy. Eleven of the 15 brokerages recommended buy, four to hold, and none recommended selling) (Zacks Equity Research, 2024). Crocs, Inc. expects continued revenue growth in 2024 of 3% to 5% overall, Crocs Brand 4% to 6%, and HEYDUDE to maintain or have only a slight increase (Crocs, Inc., 2024b). Crocs, Inc. is a successful company, and the company and analysts expect continued growth. However, several things must be considered to determine if Crocs, Inc. is a good fit for our company. We must consider the current market, Crocs’ peers, and vital statistics to make an informed decision.

Slide 4: Business Context- Market, Industry,  and Competition

First, let us consider the strength of the overall stock market. Many Americans have experienced the effects of economic inflation, and the media often reports the risk of economic recession. The New York Fed’s probability model indicates that over the next year, there is over a 60% chance that the United States will enter a recession (Duggan, 2024). 2024 is also a presidential election year, seemingly affecting the market in recent history. Since 1952, the S&P has only experienced 7% gains when a new candidate is elected versus a 12.2% increase when a president is re-elected compared to other years when the market has had an average of 10% gains (Duggan, 2024).  Many consider the S&P 500 Index The S&P 500 as one the most accurate measures of the U.S. stock market performance, and, even with the potential market forces, analysts predict that the S&P 500 will experience 11.5% earnings growth and 5.5% revenue growth in 2024 (Kenton, 2024).

Industry

The non-athletic footwear market is worth 305 billion, comprised of 142 billion for dress and fashion shoes, 125 billion for casual shoes, 30 billion for sandals, and eight billion for clogs and Crocs, Inc. has the potential for substantial growth in a portion of that market ($160 billion) (Crocs, Inc., 2024a). Sketchers (NYSE: SKX), Deckers (NYSE: DECK), and Steve Madden (NYSE: SHOO) are Crocs, Inc.’s competitors within the industry.

Reported revenue for 2023 was: Sketchers eight billion, Deckers Outdoors four billion, Crocs four billion, and Steve Madden two billion (Simply Wall St, 2024). Skechers has a debt-to-equity ratio of 7.3, and Steve Madden and Deckers have a zero debt ratio. All the companies’ stocks are undervalued per analysts (63.7% CROX, 39.3% SKX, and 70.5% SHOO), except Deckers, which is overvalued by 17.1%. The industry price-to-equity ratios are CROX 9.3x, SKX 15.8x, DECK 27.2x, and SHOO 17.2x. CROX is a good value compared to the luxury industry at 16.0x; however, based on the earnings growth, some competitors' stock may earn more, such as SKX, with almost three times the growth at 14.7%. Earnings growth for DECK is 9.3%, and SHOO is 15.3%, while the industry is 14.9%

 SKX passed all the risk checks for the risk analysis. SKX’s share price has been stable over the past three months, and its debt-to-equity ratio is lower than that of CROX, at 7.3%. However, the ratio has increased from 4.9% to 7.3% over the last five years (Simply Wall St, 2024). DECK has had significant insider selling over the past three months; they have a zero debt ratio, and Deck’s earnings (9.3% per year) are forecast to grow slower than the market (14.9). SHOO risks are unstable dividend track record and significant insider selling over the past three months (Simply Wall St, 2024). Return on equity (ROE) indicates a company’s profitability, efficiency, and how well a company manages the capital that shareholders have invested in (Furhmann, 2024). All the companies are projected to have higher ROEs after three years than the 12.9 expected for the industry.

Slide 5: Graphical Representations of Data

Figure 3: Crocs logo with shoes. Adapted from “The meaning behind the Crocs logo,” by B. Sandu, 2023, Design Your Way. https://www.designyourway.net/blog/crocs-logo/

In the following slides, we will analyze the highest and lowest stock prices, adjusted closing prices, stock volume, and descriptive statistics that can provide more insight into Crocs, Inc.

Slide 6: Scatterplot of Highest Stock Prices

Figure 4: Scatterplot of the Highest Stock Prices (July 2019 to July 2024). Adapted from data retrieved from Yahoo Finance. https://finance.yahoo.com/quote/CROX/

 Figure 4 is a scatterplot graph (in blue) showing the relationship between the highest stock prices by date for data compiled from 7/30/2019 to 7/30/2024. The independent variable, Date (MM/DD/YYYY), is plotted along the x-axis in correlation to the dependent variable on the y-axis, Stock Prices in U.S. Dollars. The stock price was the lowest on 3/19/2020 at $12.27 and the highest on 11/15/2021 at $183.88. The correlation coefficient r is used to measure the strength of the relationship between the date and price. The correlation coefficient can range from -1 to 1, with -1 representing a perfectly inverse correlation and +1 indicating a perfectly positive correlation. An r of zero would indicate no correlation (Lind et al., 2022). Using the CORREL function in Excel, the correlation coefficient for this scatterplot is 0.70, indicating a moderately positive linear correlation.

The moving average (in red) lets us see trends more quickly. Since 2019, prices have continued to rise, peaking on November 15th, 2021, steadily declining to $48.88 in June of 2022, then peaking again in March of 2023, declining slowly again to approximately $80 in November of 2023, and then rising to another peak of $165.32 on June 20th, 2024. Analysts and Croc, Inc. deemed the shoe’s popularity due to the pandemic (Holman, 2023). It is important to note that the data contained 20 outliers, all found in November 2021 and December 1, 2021, including the highest peak price. Analysts also projected the pricing to return to its regular, lower pricing after the pandemic (Holman, 2023). While the highest stock price has not exceeded $170 since November of 2021, the data shows a moderate correlation between the price increases over time. However, there has not been a steady incline; the outliers, peaks, and valleys indicate this stock is moderately volatile.

Slide 7: Scatterplot of the Lowest Stock Prices (July 2019 to July 2024)

Figure 5: Scatterplot of the Lowest Stock Prices (July 2019 to July 2024). Adapted from data retrieved from Yahoo Finance. https://finance.yahoo.com/quote/CROX/

Figure 5: The Scatterplot of the Lowest Stock Prices chart (in blue) was created in Excel with data compiled from Yahoo Finance from 7/30/2023 to 7/30/2024. Like the previous scatterplots, the graph shows the relationship between the lowest stock prices by date and contains three prominent peaks and three valleys. Once again, a moving average was added to highlight the data trend (in red). The lowest price was $8.40 on 3/18/2020, and the highest was on 11/12/2021 at $177.67. Like Figure 2, the first prominent peak occurs in November 2021, dips in July 2022,  peaks in April 2023, declines in November 2023, and peaks in June 2024. Using the CORREL function in Excel, the correlation coefficient for this scatterplot is also .70, or 0.73, with the outliers removed, indicating a moderately positive linear correlation. However, like the previous scatterplot graphs, the data indicate price volatility.

Slide 8: Histogram of Adjusted Closing Stock Prices (July 2019 to July 2024)

Figure 6: Histogram of Adjusted Closing Stock Prices (July 2019 to July 2024). Adapted from data retrieved from Yahoo Finance. https://finance.yahoo.com/quote/CROX/

A histogram is a graphical representation of a variable's frequency of occurrence or probability distribution (Capella, 2024). A histogram can indicate relationships, patterns, and distributions of values, such as skews that can indicate volatility. The Adjusted Closing Stock Prices bins range from 0 to 190 on the x-axis, and the number of occurrences is marked on the y-axis. Figure 6 is moderately symmetrical, with prices primarily spread from 20 to 180 with clusters around 40, 80, 110, and 130. The mean is 85.86, and the median is 84.27, which suggests a slight positive skew to the right. The numerous rises and dips in the data indicate volatility.

Slide 9: Histogram of Stock Trade Volume (July 2019 to July 2024)

Figure 7: Histogram of Stock Trade Volume (July 2019 to July 2024). Adapted from data retrieved from Yahoo Finance. https://finance.yahoo.com/quote/CROX/

The x-axis for Figure 7 is the ranges of the stock trade volume, and the y-axis is the number of occurrences. The histogram was created in Excel following the same steps using the stock trade volume data from July 30, 2019, to  July 30, 2024. The histogram shows a positive skew, with 85% of the data falling between one and two billion. Forty-one percent (513) occur at 1.5 billion of the trade volume. The mean is $1,509,533.34, and the median is $1,285,300.00, highlighting the skew to the right and indicating unequal distribution. The standard deviation is 1033434.268, suggesting the data has a significant variance and spread. Two deviations from the mean are 3576401.872, so the 36 data points four billion and more significant are outliers, which further support that the trade volume is an unequal distribution.

Slide 10: Descriptive Statistics

Figure 8: Mean, Median, Mode, and Standard Deviation of the Adjusted Daily Closing Stock Price. Adapted from data retrieved from Yahoo Finance. https://finance.yahoo.com/quote/CROX/

Mean, median, and mode can help determine a data set's central tendency. Standard deviation can help explain a data set's characteristics, such as variation and dispersion from the mean. Mean is the average value of a data set. The median is the center of a data set. Mode is the value that occurs the most often within a data set, and standard deviation measures the dispersion of the values from the mean (Capella, 2024). Excel formulas were used to calculate all four values for the adjusted closing stock price and volume from July 30, 2019, to July 30, 2024.

The mean for the Adjusted Closing Stock is $85.86, which is the average adjusted daily stock price for the last five years. The average is approximately 30% lower than the current stock value of $121.05. The median is 84.27, close to the mean, indicating only a slight skew to the right but an overall equal dispersion and no outliers. The standard deviation is 40.58, indicating that the data spread is extensive, with 95% of the data falling within $4.7 and $167.02.

 

Figure 9: Mean, Median, Mode, and Standard Deviation of the Stock Trade Volume. Adapted from data retrieved from Yahoo Finance. https://finance.yahoo.com/quote/CROX/

The mean daily traded stock volume from July 30, 2019, to July 30, 2024, is 1509533.34, and the median is 1285300, indicating that the data is skewed to the right and multiple outliers exist.  If the data followed a standard bell curve, the mean would suggest a high average of stock volume sold daily. However, the standard deviation also indicates that the spread is significant, and the presence of outliers indicates that this data is not equally distributed.

Slide 11: Conclusion

The Scatterplot of the Highest Stock Prices (Figure 4)  and Scatterplot of the Lowest Stock Prices (Figure 5) indicate a moderately positive linear relationship wherein the highest and lowest values for the stock prices have gradually increased over the year. The correlation is only moderate at 0.70 because the graph contains significant peaks and declines several times surrounding the trendlines. High volatility is often associated with significant peaks and dips where the prices change dramatically over a short period (Hayes, 2024).

The Histogram of the Adjusted Stock Price is almost symmetrical, with a mean of 85.86 (Table 7) and a median of 84.27 (Table 7). The standard deviation for the adjusted price is 40.58 (Table 7), indicating that the data is dispersed widely. The histogram also suggests volatility due to the various peaks and dips. The standard deviation for the volume is 965,426. Because of the large spread and tendency to rise and fall, these are potential indicators of a high-risk stock.

High volatility is often associated with significant peaks and dips where the prices change dramatically over a short period. Low volatility means less fluctuation and, therefore, a less risky stock. Higher volatility means the price is more likely to fluctuate dramatically over a short period, thus making it a riskier option (Hayes, 2024). Volatility = σ√T where σ is the standard deviation of returns and T is the number of periods in the time horizon (253) (Hayes, 2024). Because the standard deviations for the adjusted stock prices and the stock volume are significant, these charts also indicate high volatility. In addition to the data, Crocs, Inc. has a significantly larger debt-to-equity ratio, 92.5, compared to its competitors. CROX's annual earnings ratio of 9.3x is good, but when the earnings growth of 5.3% is also factored in, this rate is not as good as its competitors, with growth rates ranging from 9.3% to 15.3%. Another risk factor that analysts consider is the recent insider sales of 20k stocks (Simply Wall St, 2024). After considering all the factors, one can see that CROX is a strong company that has overperformed by industry standards and has expected future growth but also has multiple associated risks. I would not recommend the purchase of CROX due to the risk. However, I would recommend Crocs, Inc.’s peer Skechers as a less risky option since the company only has a 7.3 equity-to-debt ratio, 8 billion in revenue, no recent insider selling, and a 14.7% earnings growth rate.

 


References

Capella University. (2024). Using analytic techniques to add meaning to data [Video transcript]. https://media.capella.edu/coursemedia/mba5008element19233/wrapper.asaust

Crocs, Inc. (2005, September 14). Croc and roll [Press release]. https://investors.crocs.com/news-and-events/press-releases/press-release-details/2005/Croc-and-Roll/default.aspx

Crocs, Inc. (2021, December 23). Crocs, Inc. to acquire casual footwear brand HEYDUDE [Press release]. https://investors.crocs.com/news-and-events/press-releases/press-release-details/2021/Crocs-Inc.-to-Acquire-Casual-Footwear-Brand-HEYDUDE/default.aspx

Crocs, Inc. (2024a, January). A leader in global casual footwear [Video]. https://s22.q4cdn.com/133460125/files/doc_presentations/2024/01/2024-ICR-Presentation-vF-1.pdf        

Crocs. Inc. (2024b, February 15). Crocs, Inc. delivers record fourth quarter and full year 2023 revenue and EPS [Press release]. https://inestors.crocs.com/news-and-events/press-releases/pres-release-details/2024/Crocs-Inc.-delivers-record-fourth-quarter-and-full-year-2023-revenue-and-eps/default.aspx

Crocs, Inc. (2024c, May 7). Investor relations. Crocs Corporate Website. https://investors.crocs.com/overview/default.aspx

Duggan, W. (2024, July 30). Stock market forecast for 2024. Forbes. https://www.forbes.com/advisor/investing/stock-market-forecast-2024/#:~:text=The%20S%26P%20500%20generated%20an,all%2Dtime%20highs%20in%2020

Furhmann, R. (2024, June 21). How to calculate return on equity (ROE). Investopedia. https://www.investopedia.com/ask/answers/070914/how-do-you-calculate-return-equity-roe.asp#:~:text=ROE%20%3D%20Net%20Profit%20Margin%20x,x%20(1%20%2D%20Tax%20Rate)

Hayes, A. (2024, July 3). Volatility: Meaning in finance and how it works with stocks. Investopedia.https://www.investopedia.com/terms/v/volatility.asp#:~:text=How%20to%20Calculate%20Volatility,is%20$2%2C%20and%20so%20on.

Holman, J. (2023, March 27). People started buying Crocs during the pandemic. They can’t stop. New York Times. https://www.nytimes.com/2023/03/27/business/crocs-sales.html#:~:text=The%20stock%20prices%20and%20sales,increased%20200%20percent%20since%202019.

Kenton, W. (2024, June 12). S&P 500 Index:What it’s for and why it’s important in investing. Investopedia. https://www.investopedia.com/terms/s/sp500.asp

Lind, D. A., Marchal, W. G., & Wathen, S. A. (2022). Basic statistics for business and economics (10th ed.). McGraw-Hill.

Sandu, B. (2023, September 25). The Crocs logo history, color, fonts, and meaning [Logo image with shoes]. Design Your Way. https://www.designyourway.net/blog/crocs-logo/

Sandu, B. (2023, September 25). The meaning behind the Crocs logo [Logo image]. https://www.designyourway.net/blog/crocs-logo/

Simply Wall Street. (2024, August 6). U.S. luxury industry analysis. Simply Wall St. https://simplywall.st/markets/us/consumer-discretionary/luxury

Yahoo Finance. (2024, July 23). Crocs, Inc. (CROX). https://finance.yahoo.com/quote/CROX/

Zacks Equity Research. (2024, June 5). Is Crocs (CROX) a buy as Wall Street analysts look optimistic?

 

 

MBA 5008 - Applied Business Analytics: CROX: Storytelling With Data (August 7, 2024)


CROX: Storytelling With Data

Business Context

In 2002, George Boedecker Jr. and Lyndon Hanson wanted to create a safe, waterproof, and convenient boating shoe. Boedecker and Hanson partnered with the Foam Creations company to create a lightweight, waterproof shoe from a proprietary Croslite foam (Crocs, 2005). Boedecker and Hanson designed the Croc to be lightweight (only six ounces), breathable, supportive, comfortable with grip-focused soles, and waterproof. Crocs are like sandals and clogs, unlike any shoe available on the market upon its release (Crocs, 2005). Crocs perform well on land and sea, like crocodiles, which is why the animal is the shoe’s logo and namesake (Croc Australia, 2024). Boedecker and Hanson introduced the new shoe at a Florida boat show and quickly gained regional popularity (Crocs, 2005). In 2024, Crocs is one of the top ten global leaders in the non-athletic footwear industry (Crocs, 2021).

Crocs, Inc. is a publicly traded company (NYSE: CROX) headquartered in Colorado with around 6,000 employees. Crocs, Inc.’s mission is to “bring profound comfort, fun, and innovation to the world’s feet” (Crocs Australia, 2024, para. 3). The company’s competitive advantage is its product differentiation offering over “120 styles for men, women, and children...for any occasion and every season”(Crocs Australia, 2024, para. 1). Crocs sells approximately 150 million pairs of shoes annually, earning four billion in revenue in 2023 (Crocs, 2024, May). In 2022, Crocs, Inc. acquired HEYDUDE to help further its global expansion (Crocs, 2021). The company’s brands are sold in over 85 countries and distributed through wholesale and business-to-consumer channels (Crocs, 2024, May). As of September 30th, 2023, Crocs reported revenue growth in Asia at 37%,  America at 7%, and Europe, the Middle East, Africa, and Latin America (EMEALA) at 17% (Crocs Inc, 2024a).

For 2023, Crocs, Inc. reported a record year in revenue at over four billion, an increase of 11.5% from last year. Revenue for the Crocs brand was $3 billion, an increase of 13.3% compared to the same quarter last year, and HEYDUDE revenues were $949 million, a 6% increase compared to last year (Crocs, Inc. 2024, February). Crocs earnings growth over the past year is 21.4%, exceeding the luxury industry rate of 16.3% and the market rate of -1.5%; however, 21.4% is still lower than the company’s 34.4% five-year average. Crocs’ price-to-earnings ratio is 9.3x, much lower than that of similar companies within its industry and the industry ratio, so it is a good value.

Crocs, Inc. has a high debt-to-equity ratio of 92.5 due to its total debt of $1.5 billion and shareholder equity of $1.78 billion (Simply et al., 2024). However, the company repaid $277 million of its debt in the fourth quarter of 2023 (Crocs, Inc., 2024, February). The stock price is trading significantly lower than expected at $121.05, which is 63.7% lower than analysts’ estimated value. Analysts agree that this stock price will increase an average of 31% as the spread range is less than 15% for their projections (Simply et al., 2024). Crocs, Inc. expects continued revenue growth in 2024 of 3% to 5% overall, Crocs Brand 4% to 6%, and HEYDUDE to maintain or have only a slight increase (Crocs, Inc., 2024, February).

Industry and Competition

The non-athletic footwear market is worth 305 billion, comprised of 142 billion for dress and fashion shoes, 125 billion for casual shoes, 30 billion for sandals, and eight billion for clogs and Crocs, Inc. has the potential for substantial growth in a portion of that market ($160 billion) (Crocs Inc, 2024 January). Sketchers (NYSE: SKX), Deckers (NYSE: DECK), and Steve Madden (NYSE: SHOO) are Crocs Inc.’s competitors within the industry.

Table 1

Comparison of Financials for Crocs, Inc., Skechers, Deckers, and Steve Madden

Company

Revenue USD

Market Cap USD

Debt-to-Equity Ratio

Value USD

Est. Value USD

Undervalue %

Price-to-Earnings Ratio

Earnings Growth %

Return on Equity % (in 3 years)

CROX

4b

7.3b

92.5

121.05

333.7

63.7

9.3x

5.3

30.9

SKX

8b

9.1b

7.3

59.46

98.01

39.3

15.8x

14.7

15.4

DECK

4b

22.0b

0

850.48

726.21

17.1

27.2x

9.3

31.8

SHOO

2b

3.0b

0

41.59

141.07

70.5

17.2x

15.3

23.7

Industry

 

 

 

 

 

 

16.0x

14.9

12.9

*Overvalued

Note: Data pulled from Simply Wall St. https://simplywall.st/markets/us

Reported revenue for 2023 was: Sketchers eight billion, Deckers Outdoors four billion, Crocs four billion, and Steve Madden two billion (Simply et al., 2024). Market capital is calculated by multiplying the outstanding shares by the price per share. Investors can use market capital to gauge public interest and company strength. Small-cap companies are between 250 million and two billion, mid-cap companies are between two and ten billion, and large-cap companies are over ten billion (Fidelity, 2024). As Figure 1 indicates, Crocs Inc., Skechers, and Steve Madden are mid-cap companies, while Deckers is the only large-cap company with a market cap of 22 billion.

Crocs has the most significant debt-to-equity ratio at 92.5, following Skechers with 7.3 and Steve Madden and Deckers with zero debt. All the companies’ stocks are undervalued per analysts, except Deckers, which is overvalued by 17.1%. The industry price-to-equity ratios are CROX 9.3x, SKX 15.8x, DECK 27.2x, and SHOO 17.2x. CROX is a good value compared to the luxury industry; however, based on the earnings growth, some competitors' stock may earn more, such as SKX, with almost three times the growth at 14.7. SKX passed all the risk checks for the risk analysis. The share price has been stable over the past three months; debt is low and not considered a risk; debt -the debt-to-equity ratio is 7.3%. However, the ratio has increased from 4.9% to 7.3% over the last five years (Simply et al., 2024). DECK has had significant insider selling over the past three months; they are debt-free, and Deck’s earnings (9.3% per year) are forecast to grow slower than the market (14.9). SHOO risks are unstable dividend track record and significant insider selling over the past three months (Simply et al., 2024). Return on equity (ROE) indicates a company’s profitability, efficiency, and how well a company manages the capital that shareholders have invested in (Furhmann, 2024). All the companies are projected to have higher ROEs after three years than the 12.9 expected for the industry.

Graphical Representations of Data

Figure 2

Scatterplot of the Highest Stock Prices (July 2019 to July 2024)

Note: Data pulled from Yahoo Finance. https://finance.yahoo.com/quote/CROX/

 Figure 3

Scatterplot of the Highest Stock Prices (Without Outliers) (July 2019 to July 2024)

 

Note: Data pulled from Yahoo Finance. https://finance.yahoo.com/quote/CROX/

Figure 2 is a scatterplot graph showing the relationship between the highest stock prices by date for data compiled from 7/30/2019 to 7/30/2024. The independent variable, Date (MM/DD/YYYY), is plotted along the x-axis in correlation to the dependent variable on the y-axis, Stock Prices in U.S. Dollars. The stock price was the lowest on 3/19/2020 at $12.27 and the highest on 11/15/2021 at $183.88. The correlation coefficient r is used to measure the strength of the relationship between the date and price. The correlation coefficient can range from -1 to 1, with -1 representing a perfectly inverse correlation and +1 indicating a perfectly positive correlation. An r of zero would indicate no correlation (Lind et al., 2022). Using the CORREL function in Excel, the correlation coefficient for this scatterplot is 0.70, indicating a moderately positive linear correlation. Without the outliers, the correlation only increased slightly to 0.73, and the removal from the scatterplot only minimally altered the shape of the graph, as seen in Figure 3.

Since 2019, prices have continued to rise, peaking on November 15th, 2021, steadily declining to $48.88 in June of 2022, then peaking again in March of 2023, declining slowly again to approximately $80 in November of 2023, and then rising to another peak of $165.32 on June 20th, 2024. Analysts and Croc, Inc. deemed the shoe’s popularity due to the pandemic (Holman, 2023). It is important to note that the data contained 20 outliers, all found in the months of November 2021 and December 1, 2021, including the highest peak price. Analysts also projected the pricing to return to its regular, lower pricing after the pandemic (Holman, 2023). While the highest stock price has not exceeded $170 since November of 2021, the data shows a moderate correlation between the price increases over time. However, there has not been a steady incline; the outliers, peaks, and valleys indicate that this stock is moderately volatile.

Figure 4

Scatterplot of the Lowest Stock Prices (July 2019 to July 2024)

Note: Data pulled from Yahoo Finance. https://finance.yahoo.com/quote/CROX/

Figure 4: The Scatterplot of the Lowest Stock Prices chart was created in Excel with data compiled from Yahoo Finance from 7/30/2023 to 7/30/2024. Like the previous scatterplots, the graph shows the relationship between the lowest stock prices by date and contains three prominent peaks and three valleys. The lowest price was $8.40 on 3/18/2020, and the highest was on 11/12/2021 at $177.67. Like Figure 2, the first prominent peak occurs in November 2021, dips in July 2022,  peaks in April 2023, declines in November 2023, and peaks in June 2024. Using the CORREL function in Excel, the correlation coefficient for this scatterplot is also .70, or 0.73, with the outliers removed, indicating a moderately positive linear correlation. However, like the previous scatterplot graphs, the data indicate price volatility.

Figure 5

Histogram of Adjusted Closing Stock Prices (July 2019 to July 2024)

Note: Data pulled from Yahoo Finance. https://finance.yahoo.com/quote/CROX/

A histogram is a graphical representation of a variable's frequency of occurrence or probability distribution (Capella, 2024). A histogram can indicate relationships, patterns, and distributions of values, such as skews that can indicate volatility. The Ranges of Adjusted Closing Stock Prices are in bins ranging from 0 to 190 on the x-axis, and the Number of Occurrences is marked on the y-axis. Figure 5: The Histogram of the Adjusted Stock Prices is moderately symmetrical, with prices primarily spread from 20 to 180 with clusters around 40, 80, 110, and 130. The mean is 85.86 (Table 7), and the median is 84.27 (Table 7), which suggests a slight positive skew to the right. The numerous rises and dips in the data indicate volatility.

Figure 6

Histogram of Stock Trade Volume (July 2019 to July 2024)

 

Note: Data pulled from Yahoo Finance. https://finance.yahoo.com/quote/CROX/

The x-axis for Figure 6 is the ranges of the stock trade volume, and the y-axis is the number of occurrences. The histogram was created in Excel following the same steps using the stock trade volume data from July 30, 2019, to  July 30, 2024. The histogram shows a positive skew, with 85% of the data falling between one and two billion. Forty-one percent (513) occur at 1.5 billion of the trade volume. The mean is $1,509,533.34 (Table 8), and the median is $1,285,300.00 (Table 8), further highlighting the skew to the right and indicating unequal distribution. The standard deviation is 1033434.268, suggesting the data has a significant variance and spread. Two deviations from the mean are 3576401.872, so the 36 data points four billion and more significant are outliers, which further support that the trade volume is an unequal distribution.

Descriptive Analytics

Mean, median, and mode can help determine a data set's central tendency. Standard deviation can help explain a data set's characteristics, such as variation and dispersion from the mean. Mean is the average value of a data set. The median is the center of a data set. Mode is the value that occurs the most often within a data set, and standard deviation measures the dispersion of the values from the mean (Capella, 2024). Excel formulas were used to calculate all four values for the adjusted closing stock price and volume from July 30, 2019, to July 30, 2024.

Table 7

Mean, Median, Mode, and Standard Deviation of the Adjusted Daily Closing Stock Price

Adjusted Closing Stock

mean

85.8591739

median

84.269997

mode

36.66

Std dev

40.5816444

Note: Data pulled from Yahoo Finance. https://finance.yahoo.com/quote/CROX/

The mean for the Adjusted Closing Stock is $85.86, which is the average adjusted daily stock price for the last five years. The average is approximately 30% lower than the current stock value of $121.05. The median is 84.27, close to the mean, indicating only a slight skew to the right but an overall equal dispersion and no outliers. The standard deviation is 40.58 (Table 7), indicating that the data spread is extensive, with 95% of the data falling within $4.7 and $167.02.

Table 8

Mean, Median, Mode, and Standard Deviation of the Stock Volume

Stock

Volume

mean

1509533.335

median

1285300

mode

783000

std dev

1033434.268

Note: Data pulled from Yahoo Finance. https://finance.yahoo.com/quote/CROX/

The mean daily traded stock volume from July 30, 2019, to July 30, 2024, is 1509533.34, and the median is 1285300, indicating that the data is skewed to the right and multiple outliers exist.  If the data followed a standard bell curve, the mean would suggest a high average of stock volume sold daily. However, the standard deviation also indicates that the spread is significant, and the presence of outliers indicates that this data is not equally distributed.

Summary

The Scatterplot of the Highest Stock Prices (Figure 2)  and Scatterplot of the Lowest Stock Prices (Figure 4) indicate a moderately positive linear relationship wherein the highest and lowest values for the stock prices have gradually increased over the year. The correlation is only moderate at 0.70 because the graph contains significant peaks and declines several times surrounding the trendlines. High volatility is often associated with significant peaks and dips where the prices change dramatically over a short period (Hayes, 2024).

The Histogram of the Adjusted Stock Price is almost symmetrical, with a mean of 85.86 (Table 7) and a median of 84.27 (Table 7). The standard deviation for the adjusted price is 40.58 (Table 7), indicating that the data is dispersed widely. The histogram also suggests volatility due to the various peaks and dips. The standard deviation for the volume is 965,426. Because of the large spread and tendency to rise and fall, these are potential indicators of a high-risk stock.

High volatility is often associated with significant peaks and dips where the prices change dramatically over a short period. Low volatility means less fluctuation and, therefore, a less risky stock. Higher volatility means the price is more likely to fluctuate dramatically over a short period, thus making it a riskier option (Hayes, 2024). Volatility = σ√T where σ is the standard deviation of returns and T is the number of periods in the time horizon (253) (Hayes, 2024). Because the standard deviations for the adjusted stock prices and the stock volume are significant, these charts also indicate high volatility. In addition to the data, Crocs, Inc. has a significantly larger debt-to-equity ratio, 92.5, compared to its competitors (Table 1). CROX's annual earnings ratio of 9.3x is good, but when the earnings growth of 5.3% is also factored in, this rate is not as good as its competitors, with growth rates ranging from 9.3% to 15.3% (Table 1). Another risk factor that analysts consider is insider selling, and Crocs, Inc. CEO Andrew Rees just recently sold 10k shares on June 17th for $160 million (Simply et al., 2024). Looking at the data's story and considering all the factors, one can see that CROX is a strong company with large capital that has overperformed by industry standards and has expected future growth, but it also has multiple associated risks.

References

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Yahoo Finance. (2024, July 23). Crocs, Inc. (CROX). https://finance.yahoo.com/quote/CROX/