Estimating a firm’s market value of common equity (MVE) at a given point in time is something that a finance researcher does quite often. It can be surprisingly hard using only the two commonly available datasets for financial and stock information, CRSP and Compustat.
The most foolproof way is to use the prcc_f and csho fields in Compustat Fundamentals Annual file (or their counterparts prccq and cshoq), which are the closing stock price and the number of shares outstanding (in millions of shares) on the balance sheet date.
For example, here are the values and corresponding market value of equity for Apple, Berkshire Hathaway and the New York Times Company on the latest datadate in my local copy of Compustat:
|Company||Date||GVKEY||PERMCO||csho (m)||prcc_f||MVE ($m)|
|New York Times Co.||2009-12-31||007866||21280||144.513||12.36||1,786|
I can tell you that these numbers are, at least in my opinion, correct. This method is fine if you happen to need MVE on the annual balance sheet date, or the quarterly balance sheet date for firms that are in the Fundamentals Quarterly file, but what if you need MVE at the end of a different month or some arbitrary date? For example, you may want to construct portfolios sorted by book-to-market, and since accounting information is not released on datadate, you want to make sure you are not using information that is not available to outsider investors.
The simplest way is, of course, to look in the CRSP Monthly (or Daily) Stock File. The PERMNO for Apple common stock is 14593, so we could multiply abs(prc) (because bid/ask midpoint prices are reported as negative numbers in CRSP, don’t forget that!) and shrout, shares outstanding in thousands. For Apple on 2010-09-30, this gives us 283.75×915,970=$259.9 billion, the same result as Compustat.
What about Berkshire Hathaway? Remember that Berkshire Hathaway has two share classes traded on the New York Stock Exchange, A shares (PERMNO 17778) and B shares (PERMNO 83443). We simply have to multiply price and shares outstanding for each class and sum them. The generic way to do this is to start with a PERMCO, get every security that has share code 10 or 11 (common stock), and multiply price with shares outstanding. Here’s sample SAS code for this, in this case hard coded for Berkshire, but you can figure out how to merge with a separate list of PERMCOs and dates (and properly use
proc sql; select sum(abs(prc)*shrout/1000) as mve from crsp.msf m, crsp.msenames n where '31DEC2009'd ge namedt and '31DEC2009'd le nameendt and shrcd in (10, 11) and n.permno = m.permno and n.permco = 540 and m.date = '31DEC2009'd; quit;
How come we had to use 4 different figures to calculate Berkshire’s market value using CRSP data, and only two figures with Compustat data? This is because csho and prcc_f are stated in terms of only a single class of stock. Berkshire Hathaway had 1.552 million class A equivalent shares outstanding, weighted by the relative economic interest of the different share classes, a number that the poorly paid S&P research assistants probably found in Item 6, “Class A equivalent common shares outstanding, in thousands” in the Berkshire 10-K. (Some companies make this a lot harder to find, especially on the balance sheet date rather than reporting date.)
Now if you do this for the Times Company on 2009-12-31, you would find only one share class on CRSP, PERMNO 47466, and a market value of 12.36×143,715=$1,776 million. This is almost $10 million less than what Compustat has. What happened?
If you looked very closely at the CRSP names file, you would notice that PERMNO 47466 represents class A common stock. Some companies have only a single class of common stock that is still designated class A, but the Times Company has a separate class B that is not traded on any exchange and is not on the CRSP tape.
So how do we estimate MVE for the Times Company at the end of January 2010, which is not in Compustat? My solution is to multiply the CRSP market value with the last known ratio of Compustat to CRSP market value. This ratio was 1,786/1,776=1.0056. CRSP market value on 2010-01-29 was 12.92×143,715=$1,858 million. Multiplied with our ratio, this gives an estimate of total market value of equity of $1,867 million. This estimate doesn’t account for the special voting rights of class B stock, but it is probably the best practical value we can assign to Times Company equity at market prices.
My adjustment may not be such a huge deal for the Times Company, but I can tell you that at the end of 2002, Ascent Media Group (PERMNO 88354, GVKEY 006948) had a total market value of equity, as implied by issues on CRSP, that was 11.7 times the market value of issues on the CRSP tape.