The other day I was reading through the Pabrai Investment
Funds Annual report for last year when it suddenly occurred to me that the
comparative returns that Pabrai publishes there (i.e. his funds’ returns versus
the various indexes) is misleading. Why you ask? Well, it all has to do with
taxation.
Let’s have a look at the Pabrai investment funds:
Pabrai Investment
Fund 2 (an Illinois Limited Partnership) – Commenced operation on
1st October 2000 when units were issued at $10 each. As at 30 June
2012, the net asset value (NAV) of a unit was $43.36, an average annual
compound return per annum of 13.3%.
Pabrai Investment
Fund 3 Ltd (a British Virgin Islands corporation) – Commenced
operation on 2nd February 2002 when shares were issued at $10 each.
As at 31st December 2012, the NAV of these shares was $33.21, an
average annual compound return per annum of 9.7%.
Pabrai Investment
Fund 4 (a Delaware Limited Partnership) – Commenced operation on
1st October 2003 when units were issues at $10 each (Pabrai must
have a fondness for the figure of $10). As at 31st December 2012,
the NAV of these shares was $18.85, an average annual compound return per annum
of 7.1%.
Now, the British Virgin Islands Corporation (Pabrai Investment
Fund 3 Ltd) pays no income tax or capital gains tax in the British Virgin
Islands and also pays no income tax in the United States. This is the reason
that Pabrai domiciled this company in that jurisdiction. It’s also a fund for
non-US investors. There is nothing wrong with this, it’s good tax planning.
But when Pabrai compares the returns of Pabrai Investment
Fund 3 to the returns of the Dow Jones Industrial Average (DJIA), the NASDAQ or
the S&P500, he is comparing the returns of a fund which pays no tax with an
index whose constituents must pay tax.
For a moment, imagine that the US Federal and State
Governments legislated to exempt all constituents of the DJIA from paying tax.
What affect would that have? It would immediately increase the value of all the
constituents of that index. Rationally, the percentage increase would be by
approximately the tax rate divided by one less the tax rate multiplied by 100
or (TR% / (1-TR%) )*100. Of course, it’s not quite that simple, but you get the
gist of it.
When Warren Buffett (or any other person running a US
domiciled tax-paying investment corporation) compares their corporation’s
returns to an index, it’s a fair comparison because like is being compared with
like.
When an individual running a non-tax paying corporation
compares their returns to an index which consists of tax-paying corporations,
the comparison is not fair. A fair comparison would be to take the
returns generated by the non-tax paying entity and then apply a notional tax
rate based on the average tax rate paid by the constituents of the index being
compared to and then compare the returns.
For example, if we applied a notional 25% “tax” to Pabrai
Investment Fund 3, that 9.7% average return (mentioned above) might become
about 7.3% - hardly returns to write home about. Incidentally, Pabrai
Investment Fund 3 is the only vehicle currently open to new investors.
But what about Pabrai’s limited partnerships? They too pay
no tax. All tax is paid by the individual unit holders.
So I would put it to you that any performance comparisons
between any of the Pabrai funds and the various US indexes are misleading
because any reported out-performance will always be skewed unfairly in Pabrai’s
favour.
Pabrai has talked at some length in the annual letter about
how he has compounded his own net worth at close to 26% per annum (since about
1995). That’s great for Pabrai, but the funds mentioned above haven’t achieved
anywhere near this figure and as I’ve explained here, even those returns are
misleading when compared to any index. So why mention your own much better
individual performance?
My own net worth has increased at an average annual rate of
16.1% (post tax) from 1995 to 2012. On a pre-tax basis (if I had never had to
pay income or capital gains taxes) it would have been roughly 23% per annum.
That statistic alone demonstrates the difference between pre-tax and post-tax
returns.
So, finally, to have some fun, if I had issued shares at
$10 each (Pabrai’s favourite number) on 31 December 1995 in “The Stock Scribe”
(me), as at 31 December 2012, those $10 shares were worth $127.