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Chapter 27: Arbitrage 433
available in the marketplace at a net profit of ½ point, or 50 cents. Such a reversal
may not be equally attractive to all arbitrageurs. Those who have "box" stock may be
willing to do the reversal for 50 cents; those who have to pay 1 % to borrow stock may
want 0.55 for the reversal; and those who pay 2% to borrow stock may need 0.65 for
the reversal. Thus, arbitrageurs who do conversions and reversals are in competition
with each other not only in the marketplace, but in the stock loan arena as well.
Reversals are generally easier positions for the arbitrageur to locate than are
conversions. This is because the fixed cost of the conversion has a rather burdensome
effect. Only if the stock pays a rather large dividend that outweighs the carrying cost
could the fixed portion of the conversion formula ever be a profit as opposed to a
cost. In practice, the interest rate paid to carry stock is probably higher than the
interest earned from being short stock, but any reasonable computer program should
be able to handle two different interest rates.
The novice trader may find the term "conversion" somewhat illogical. In the
over-the-counter option markets, the dealers create a position similar to the one
shown here as a result of actually converting a put to a call.
Example: When someone owns a conventional put on XYZ with a striking price of
60 and the stock falls to 50, there is often little chance of being able to sell the put
profitably in the secondary market. The over-the-counter option dealer might offer
to convert the put into a call. To do this, he would buy the put from the holder, then
buy the stock itself, and then offer a call at the original striking price of 60 to the
holder of the put. Thus, the dealer would be long the stock, long the put, and short
the call - a conversion. The customer would then own a call on XYZ with a striking
price of 60, due to expire on the same date that the put was destined to. The put
that the customer owned has been converted into a call. To effect this conversion,
the dealer pays out to the customer the difference between the current stock price,
50, and the striking price, 60. Thus, the customer receives $1,000 for this conver­
sion. Also, the dealer would charge the customer for costs to carry the stock, so that
the dealer had no risk. If the stock rallied back above 60, the customer could make
more money, because he owns the call. The dealer has no risk, as he has an arbitrage
position to begin with. In a similar manner, the dealer can effect a reverse conver­
sion - converting a call to a put - but will charge the dividends to the customer for
doing so.
RISKS IN CONVERSIONS AND REVERSALS
Conversions and reversals are generally considered to be riskless arbitrage. That is,
the profit in the arbitrage is fixed from the start and the subsequent movement of the