Valuation ranges August 26, 2010 at 6:15 am
This blog has consistently emphasised (OK, consistently bored the pants off its readers by emphasising) the importance of valuation ranges for financial instruments. For many such things, the idea of a single correct fair value is a mirage. Instead, it is more helpful to think of a range of values which might be correct.
Steadily both accounting standards and regulation has been coming around to our way of thinking (something for which we certainly claim no credit). There is a particularly clear example in the latest FSA discussion paper:
In April 2008, the Bank of England’s Financial Stability Report analysed the range of values produced by six Large Complex Financial Institutions (LCFIs) at the end of 2007 for super-senior tranches of Collateralised Debt Obligations (CDOs).
These tranches were the most senior slice of CDO structures and would therefore be expected to have a AAA credit rating at inception. The chart below shows the maximum capital requirement for such a position relative to the valuation range. In all cases, the maximum capital requirement is smaller than the variation in valuations (highest valuation minus lowest valuation reported) of the tranches produced across the six firms.
Now, it is important to understand what is claimed here. These ranges are not for the same security. One cannot infer that Bank A had a partcular mezz supersenior at 90 and Bank B had the same tranche valued at 45. All that one can infer is that Bank A had one mezz supersenior security valued 55 points over Bank B’s value for an entirely different mezz supersenior tranche. Thus much of the range reflects differences in CDO composition. Quality matters in a crisis.
The capital requirement is also misleading in that if the piece is written down from par, that loss reduces capital, so the effective capital taken is the capital requirement plus the writedown. (There is amusingly pious language elsewhere from FSA about trying to ensure that capital requirements are never more than 100% of notional – something they have thus far failed to do in various places in the capital rules.)
FSA legerdemain (which for me weakens their argument considerably) aside, there is a real point here. There are some securities whose fair value cannot always be determined accurately. It is likely that different banks will have different valuations for securities like this. Moreover, in some extreme cases, the range of values can be a significant fraction of the effective capital requirement. That’s fine, but it needs to be understood by readers of financial statements.













