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© Oaktree Capital Management, L.P.
All Rights ReservedMemo
to: Oaktree Clients
From: Howard Marks
Re: A Case in Point
Last month, my memo âThere They Go Againâ disc ussed investorsâ propens ity to repeat certain
classic mistakes. The biggest of these mistak es stem from some combination of too much
enthusiasm, optimism, naiveté and greed and too little realism and skepticism. Although it
comes in a wide variety of forms, the bottom line is usually a belief that the âsilver bulletâ is at
hand: a surefire route to wealth without risk.
In recent years weâve seen the elevation of one such particular strategy, and in recent months its
defrocking. The subject is c onvertible arbitrage. Its story is worthy of review.
0BUBackground on Convertible Arbitrage (Perhaps More Than You Want)
Properly, arbitrage refers to the simultaneous pur chase and sale of the same thing, or of two
things that are nearly the same, at different pr ices so as to lock in a small profit on a highly
probable basis. I was introduced to this phenomenon in the 1950s by an old movie about the Rothschild brothers, who spread out to five Eu ropean cities and used information transmitted by
carrier pigeon (at a time when there was no tele phone or telegraph) to simultaneously buy and
sell currencies in those far-flung cities at different exchange rates. Market opportunities are
rarely that glaring nowadays, but they do arise from time to time. Convertible securities are candi dates for arbitrage because one asset (a convertible bond or
preferred) is exchangeable for another (the underlying common stock). Thus imperfections in this market can create opport unities to simultaneously buy one a sset and sell the other, giving
rise to frequent small profits w ith little risk. Of course, the arbitrageur must be skillful enough
to identify the opportunities a nd take advantage of them.
Time for an aside: Many years ago, Ed Thor p, an MIT professor of mathematics, literally
âwrote the bookâ on blackjack. Itâs called âBeat the Dealer.â Thorp used computers to
simulate the play of the cards and codify the âbas ic strategyâ that virtually all serious blackjack
players use today to decide when to split, double down, hit or stick. Use of the basic strategy
can significantly reduce (but not eliminate) the casinoâs advantag e. From quantifying the basic
strategy, Thorp went on to formalize the process of card counting. Because blackjack is dealt
from a deck or âshoeâ without shuffling after every hand, the cards that have been played
determine the cards that remain â in statistical terms, the hands arenât âindependent.â This
means if a player can keep track of the cards that have been played, his knowledge of what
remains can give him an advantage over the house. Recently the profitable use of card counting
was chronicled in the enjoyable book âBringing Down the House.â Card counting was used to such great advantage that casi nos fought for, and won, the right to throw out counters.
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Of course, when the casinos became able to evict card counters, they went straight for Ed Thorp. Needing a new âgig,â Thorp turned his attention to another field in which subjective
judgment could be improved upon through computer simulation: convertible arbitrage (Iâll bet
you were wondering what blackjack had to do with the subject of this memo). Thus Thorp
pioneered the conversion from art to scienc e of a second potentially profitable field.
In convertible arbitrage, someone buys a security that can be exchanged for common shares, and he sells short some of those same shares. Letâs say a bond is convertible into 40 shares and
those shares are selling at $20. Thus the value of the stock underlying the bond (the
âconversion valueâ) is $800. The bond usually wo nât sell at $800, but rather at some higher
price. One reason for this is that the bond embodies an option on that $800 wort h of stock (plus the
means to pay for it by surrendering the bond). Th is combination is worth more than $800,
because an option provides a way to particip ate in an assetâs upside potential but not its
downside. In addition, (a) a US convertible is likely to yield more th an its underlying common
stock, and (b) being senior to the common stock, it will entail less exposure to credit problems.
So the bond may sell at $1,000 when the common stock is $20 and the conversion value is $800. That implies a âconversion premiumâ of $2 00, or 25% of the $800 conversion value.
The arbitrageur buys the bond and shorts the stock. If the stock goes up (producing a loss in the
short position), he expects the bond to go up almo st as much (producing a gain in the âlongâ
position). If he has more money invested in th e bond than he does in the short position on the
stock, the result can be reasonabl y attractive. If the stock goe s down (producing a gain in the
short position), he expects the bond â buoyed by th e income and the promise of redemption at
maturity â to go down substantially less (producing a smaller loss in the long position), for an
overall result that is very positive. The arbi trageur hopes for a reasonable mix of appreciating
stocks (with decent results on the arb positions) and declining stocks (with highly attractive
results), and he has the ability to use leverage to magnify this steady flow of modest profits. In
addition, he receives more income on the converts he owns than he owes on the stock heâs short. Itâs hoped that the above elements will combine to produce a consistently positive return. Obviously, the open question is how many shares to short in order to create the desired
performance pattern. Because the relationship between the market price of the convertible and
the market price of the shares isnât constant, figuring out how much stock to short against a
given bond purchase â the âhedge ratioâ â has its vagaries.
Generally, a properly priced conve rtible will capture a certai n percentage of the underlying
stockâs gains and a somewhat smaller percentage of its losses. That means the percentage of the stockâs price movement captured by the bond is variable, rendering imprecise the proper
number of shares to short per $1,000 bond. And that number usually is less than the number of
shares into which the bond is convertible. This is because convertible bonds are less volatile
than the underlying shares, and the arbitrageur wants both sides of the position to be equally
volatile. Thus he wonât short the full number of shares the bond is convertible into.
© Oaktree Capital Management, L.P.
All Rights ReservedThereâs no one ârightâ answer regarding the hedge ratio. Setting it entails estimation regarding
the future volatility of the common stock among other things. Thorpâs methodology helped him
to profitably determine hedge ratios.
UThe Backdrop
As the interest in hedge funds rose over the last ten years, âconve rt arbâ became the model of an
absolute return strategy. It seemed capable of grinding out returns in the teens almost every
year. This occurred without significant exposur e to market fluctuations, because every position
was hedged. The table below shows the 1995-2003 returns for the market-weighted index of convertible
arbitrage funds in the CSFB/Tremont Arbitrage Index.
Year Annual Return 3-Year Return 5-Year Return 9-Year Return
1995 16.6%
1996 17.9
1997 14.5 16.3%
1998 -4.4 8.9
1999 16.0 8.3 11.8%
2000 25.6 11.7 13.5
2001 14.6 18.6 12.8
2002 4.0 14.4 10.7
2003 12.9 10.4 14.4 12.8%
12.8% per year for nine years. Only one down year in nine, and that a loss of just 4.4%. No
three-year period with an annualized return worse than 8.3%. No five-year period not in double digits. What a record!!
1BURule Number One: Money Matters
So what happens? Money floods in. Whereas a few smart people had been able to churn out
consistently good results with small amounts of capital, now a crowd was fighting over the
convert arb ideas, armed with much more money. Increased pursuit of a stra tegy is sure to drive
down prospective returns. If in a less crowded period the process of convertible arbitrage
appeared capable of producing an inherent return in the lo w double digits (or maybe LIBOR
plus 5%), it should be expected to produ ce less after others have flocked to it.
In addition, I feel arbitrage and many other hedge fund activ ities are best thought of as
âpiggybackingâ strategies, living off some underlyi ng process that has a life of its own (see the
big fish/little fish analogy in âH edge Funds: A Case For Cautionâ). What I mean is that as long
as thousands of investors are setting the pr ices in the convertible bond and stock markets
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All Rights Reservedthrough their buying and selling, a few dozen astute arbitrageurs can dart in on occasion to take
advantage of their mistakes. But what if the arbitrageurs come to outnumber the âlong-onlyâ
convert investors, so that their buying power directly affects (in th is case, raises) the prices of
convertibles relative to the underlying stocks. That can change the game, and thus the
dependability and profitability of convertible arbitrage. This was certainly the case in 2004,
when at times 80% of all convertible buying was thought to be from arbitrageurs. They didnât
care as much as the long-only crowd about th e issuers and the price attractiveness of the
underlying securities; rather, they would buy al most anything to put on an arb position.
When I organized Citibankâs first convertible fund in 1978, convertibles found few regular
buyers and were considered a somewhat disreputable market of last resort for corporate financing. This level of disregard permitted conv ertible prices to languish. Most of the time I
felt the convertibles I bought we re considerably cheaper than a corresponding p ackage of more
efficiently priced bond plus stoc k from the same company.
For the next two decades, the same cheapness that had given our portfolios risk-adjusted returns
better than stocks made it possible for convert arbitrageurs to buy underp riced convertibles and
short fully priced common stocks. This was a formula for steady profits. But if money floods
in such that bargains become less widespr ead among convertibles, it seems reasonable to
suspect that convertible arbitrag e will become less profitable.
In 2004, the return on the CSFB/Tremont convertible arbitrage index subsided to 2.0%. For the
first four months of 2005, it was negative 5.8%. Ap ril was the fifth worst month out of the last
136. The index declined in only 14 of the 108 months from 1995 through 2003, but in 9 of the 12 months through April. January, February, Marc h and April were all negative, the first time
there have ever been four down months in a row. And May was the fifth â down almost 2%
more. What changed? Mostly, I think, the am ount of money being managed in the sector.
Bottom line: the returns available from an inve stment strategy are not independent of the
amount of money seeking to be deployed in that strategy. More simply put: everything else
being equal, more money means lower returns. This seems elementary, but it appears to be ignored every time something does well for a while. I repeat for the umpteenth time: what the wise man does in the beginning, the fool does in the end.
2BURule Number Two: Thereâs No Sure Thing
If thereâs a âkiss of deathâ in the investment world, itâs widespread belief that something
canât miss. When people have complete conf idence in something, the prices theyâll pay for
it and the amounts of money theyâll try to ja m into it will sound an absolute death knell
for its profitability . Iâve seen it in the nifty-fifty stocks, in oil stocks in the post-embargo
1970s, in disc drive companies, in portfolio insuran ce, in tech stocks and in venture capital.
In recent years, buying convertibles and shorti ng the underlying common shares came to be
accepted as a surefire technique. And what coul d be better than having a long position in the
senior securities of a company heading for tr ouble and a corresponding short position in its
© Oaktree Capital Management, L.P.
All Rights Reservedcommon stock, with the likelihood that the stock would declin e precipitously: no bet on the
direction of the market or the company, and abso lute preparedness for negative developments.
Thatâs the position the arbs flocke d to this year in General Motors. They assumed the debt they
were long would hold up much better than the co mmon they were short. What could go wrong?
Well, something can always go wrong, and thin gs are most dangerous when people agree
they canât (and price them accordingly). In the case of GM, the arbs got a double whammy:
ï· Billionaire Kirk Kerkorian stunned the financial world on May 4 by announcing his
intention to bid $31 for 28 million shares of GM common stock. This drove the price of the
stock from roughly $28 to $32, creating big losses on the arbsâshort positions.
ï· Just the next day, S&P announced its long-expected downgrading of GMâs credit rating.
This lowered the price of GM debt, giving the arbs losses on their long positions as well.
In this way, something that âcouldnât happenâ did: the prices of both assets went against the
arbs simultaneously. If a companyâs bonds decline because of deteriorating creditworthiness, can the stock possibly do better? It did this time â for a reason no one would have anticipated.
(People are still mystified regarding Kerkorianâ s motivation.) I donât th ink a companyâs stock
can do well for long if its bonds donâ t (given the implication of se rious fundamental problems).
But the long run doesnât matter when unexpected difficulties arise in leveraged portfolios.
The effect on staying power can be very negative.
Other things weâve seen recently that âcoul dnât happenâ: GM and GMAC being downgraded
simultaneously, and intermediate and long rates down substantially while short rates rose more
than 200 basis points. As Long-Term Capital Management said in ex plaining its meltdown, âthe convergence trades
diverged.â In this case, I absolutely am not saying the arbs were foolhardy in putting on their
GM positions. I simply want to point out that nothing in the investment world can be counted
on to work 100% of the time. Allowance must always be made for the unexpected.
3BURule Number Three: Piling In Is Dangerous
One of the phenomena weâve witnessed lately â and it was particularly pronounced in the events surrounding Long-Term Capital Management â is the tendency of funds of a given type to flock
to the same situations. The General Moto rs trade described above, for example, was
particularly common among arbs. Thus, when it went wrong, they all suffered losses, and they
all faced illiquidity when they went to unwind it.
Thereâs little mystery surrounding th e reason particular trades become widespread. These days,
computers are used universally â especially in the more quantitative fields â to screen for
investment opportunities and model their profit potent ial. Not surprisingl y, since they all sift
through the same universes and evaluate profitab ility similarly, they often highlight the same
investment opportunities. When everyone tries to pile in, that raises th e cost of implementing
© Oaktree Capital Management, L.P.
All Rights Reservedthe strategy and thus lowers the prospective return. A nd when everyone wants to get out, thatâs
costlier too. This is an ex ample of the way in which too many piggybackers â with the same
ideas â can overwhelm the underlying markets.
URule Number Four: A âVirtuous Cycleâ Can Turn Vicious
There is a predictable cyclical pattern in these matters, and no w weâve seen it in convertible
arbitrage:
ï· In the years leading up to 2004, convertibles we re available âtoo cheap,â and so arbitrage
consistently produced high re turns with low risk.
ï· The results were very attractive, drawing in capital.
ï· The new capital drove up prices, enhancing returns on existing positions.
ï· These returns attracted still more capital in a so-called âvirtuous cycle.â
ï· When too much money came in, bargains beca me scarcer, causing the free lunch to be
removed. Also, convert arb money altered the terms on new convertible issuance, reflecting
the arbitrageursâ preference fo r call protection over yield.
ï· Positions put on in the new environment didnât do as well as the old ones.
ï· Investorsâ faith weakened in 2004 and largely evaporated in April/May 2005.
ï· Withdrawals set in for real: $1.7 billion in th e fourth quarter of 2004 and $1.8 billion in the
first quarter of 2005.
ï· The withdrawals caused forced selling, and th e selling drove down prices, exacerbating the
losses â and causing more loss of faith and thus more withdrawals and more forced selling.
ï· Now we think convertibles are getting cheap again, and weâre considering increasing our
allocation to them in our discretionary accounts.
* * *
It has always been thus, and it always will. Excessive confidence sets the stage for disappointment, and the loss of confidence creates bargains. Itâs the job of all investors to
maintain their equanimity, buying in panics and selling in bubbles. Thatâll be the day!
Convertible arbitrage isnât âover.â The possibility of its application will always exist . . . but the
assurance of high returns with low risk will not. Theyâll only be available when the amounts of
money pursuing the strategy are reasonable, so th at practitioners can be patient and selective
and pick from an attrac tively priced universe. And in that way convertible arbitrage isnât
any different from any ot her investment technique. Anyway, this isnât a memo about
convertible arbitrage, but about i nvestorsâ persistent mistakes. Convertible arbitrage is just a
case in point. June 6, 2005
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