Many investors turn to Benjamin Graham's so-called “Graham number” to calculate the fair price of a stock. The Graham number is √(22.5 * 5 year average earnings per share * book value per share), which for Arch Resources gives us a fair price of $304.73. In comparison, the stock’s market price is $152.89 per share. Arch Resources’s current market price is -49.8% below its Graham number, which implies that there is upside potential -- even for a conservative investors who require a significant margin of safety.

The Graham number is often used in isolation, but in fact it is only one part of a check list for choosing defensive stocks that he laid out in Chapter 14 of *The Intelligent Investor*. The analysis requires us to look at the following fundamentals of Arch Resources:

*Sales Revenue Should Be No Less Than $500 million*

For Arch Resources, average sales revenue over the last 6 years has been $2.41 Billion, so in the context of the Graham analysis the stock has impressive sales revenue. Originally the threshold was $100 million, but since the book was published in the 1970s it's necessary to adjust the figure for inflation.

*Current Assets Should Be at Least Twice Current Liabilities*

We calculate Arch Resources's current ratio by dividing its total current assets of $823.85 Million by its total current liabilities of $426.88 Million. Current assets refer to company assets that can be transferred into cash within one year, such as accounts receivable, inventory, and liquid financial instruments. Current liabilities, on the other hand, refer to those that will come due within one year. Arch Resources’s current assets outweigh its current liabilities by a factor of 1.9 only.

*The Company’s Long-term Debt Should Not Exceed its Net Current Assets*

This means that its ratio of debt to net current assets should be 1 or less. Since Arch Resources’s debt ratio is -0.5, the company has much more liabilities than current assets. We calculate Arch Resources’s debt to net current assets ratio by dividing its total long term of debt of $116.29 Million by its current assets minus total liabilities of $1.07 Billion.

*The Stock Should Have a Positive Level of Retained Earnings Over Several Years*

Arch Resources had negative retained earnings in 2012, 2013, and 2014 with an average of $-8480933.333333334. Retained earnings are the sum of the current and previous reporting periods' net asset amounts, minus all dividend payments. It's a similar metric to free cash flow, with the difference that retained earnings are accounted for on an accrual basis.

*There Should Be a Record of Uninterrupted Dividend Payments Over the Last 20 Years*

Shareholders of Arch Resources have received regular dividends since 2007. The company has returned a 13.1% dividend yield over the last 12 months.

*A Minimum Increase of at Least One-third in Earnings per Share (EPS) Over the Past 10 Years*

To determine Arch Resources's EPS growth over time, we will average out its EPS for 2007, 2008, and 2009, which were $1.21, $2.45, and $0.28 respectively. This gives us an average of $1.31 for the period of 2007 to 2009. Next, we compare this value with the average EPS reported in 2020, 2021, and 2022, which were $-22.74, $19.20, and $63.88, for an average of $20.11. Now we see that Arch Resources's EPS growth was 1435.11% during this period, which satisfies Ben Graham's requirement.

Based on the above analysis, we can conclude that Arch Resources satisfies some of the criteria Benjamin Graham used for identifying for an undervalued stock because it is trading far below its fair value and has:

- impressive sales revenue
- a decent current ratio
- much more liabilities than current assets
- negative retained earnings in 2012, 2013, and 2014
- a solid record of dividends
- EPS growth in excess of Graham's requirements