Ever since the stock markets have come in
existence, arbitrage has always been present.
Though, through natural evolution, one form
of arbitrage may disappear but others take
its place. In this article, I focus on equity
arbitrage strategies that we deploy actively.
We will not do justice, if we did not discuss
the risks that go with equity arbitrage,
so each strategy has inherent risks that
are also addressed.
Arbitrage Basics
The simplest form of arbitrage exists when
same equity (or its derivative) is trading
at different prices in two different markets.
This simple price arbitrage occurs due to
inefficiencies in the market place, usually
caused by aberrations in demand and supply
in one market and should ideally entail
no risk, if executed simultaneously in both
markets.
Such arbitrage opportunities reflect minor
pricing discrepancies between markets or
related instruments. Per-transaction profits
tend to be small, and they can be consumed
entirely by transaction costs. Accordingly,
most arbitrage is performed by institutions
which have very low transaction costs and
can make up for small profit margins by
doing a large volume of transactions.
Arbitrage Strategies: Risks and Rewards
ADR-GDR Arb: Several equities are
listed in local exchanges as well as foreign
exchanges like New York or London, in the
form of American Depository Receipt (ADR)
or Global Depository Receipt (GDR). Theoretically
speaking, the price of the ADR or GDR should
be very close to the local underlying but
that is not the case all the time. We find
discrepancy in the price of ADR/GDR as against
the local share price, cause of limited
supply of the DRs. Usually, the DR would
trade at a premium to local price and arbitrageurs
can short the higher market and buy in the
local market. However, in context of Asia
this would entail an overnight risk since
both the underlying and ADR/GDR market do
not necessarily trade at the same time and
one might find it difficult to buy and sell
at the prices to lock in the profit. This
arbitrage is fraught with local regulatory
bottlenecks which may altogether prohibit
short selling in the case the local trades
at premium. The execution risk of gapped
openings, due to overnight exposure (after
one side of trade is done) is the key risk.
Professionals can Manage this risk well
by limiting exposure per security, based
on liquidity and arbitrage spreads.
Convertible Bond Arb: Convertibles
are hybrid financial instruments, providing
income on the bond with option to participate
in the capital appreciation of the stock.
Historically convertibles have generated
equity linked returns with less risk. In
bull markets, convertibles have trailed
global equity markets by only a few percentage
points, while in bear markets convertibles
offer considerably more downside support.
Convertible securities are an appropriate
investment vehicle for long-term investors
seeking a high rate of return but with less
risk than common stocks.
Convertibles trade within certain boundary
conditions. If these boundaries are violated,
an arbitrage profit is possible. For instance,
if convertible trades below equity value
(parity) then it can be purchased while
simultaneously shorting an amount of stock
equal to the conversion ratio. Upon conversion,
the stock received can be used to cover
the outstanding short position. For an equity
investor the instrument is attractive for
its asymmetrical equity sensitivity especially
in case of rising share price environment
and less sensitive when the share price
is falling. For a fixed income investor,
the purchase of a convertible is equivalent
to the purchase of a straight bond together
with the purchase of upside participation
in any underlying share price appreciation.
Exposure to convertibles inherently carries
the credit risk of the corporation.
Cash Futures Arb: Cash future arbitrage
is the safest form of arbitrage where in
profit is captured through pricing inefficiencies
between the cash and derivatives market.
Future contract is an agreement to buy or
sell a stock at a particular date in future.
Theoretically, the price of the future contract
has to be the current stock price plus the
cost of capital required to buy the stock
(to keep it for delivery at a future date)
also called as Cost-of-Carry.
Thus, if
F = Future price of the stock
S = Current market price of the underlying
stock/index
R = Risk free rate of return
T = Time in days
F= S* e^(r*t)
This is the fundamental basis (or formula)
for pricing future contracts. Irrespective
of what the underlying is an index or an
individual stock. Thus, the future price
should always reflect this premium.
An arbitrage opportunity exists if futures
price are either greater than or less then
the spot price plus cost-of-carry. In case
the futures price are greater then cash
price plus carry cost then sell the (overpriced)
futures contract, buy the underlying asset
in spot market and carry it until the maturity
of futures contract. This is called "cash-and-carry"
arbitrage. If futures are trading at discount
to the spot then buy the (under priced)
futures contract, short-sell the underlying
asset in spot market and invest the proceeds
of short-sale until the maturity of futures
contract. This is called "reverse cash-and-carry"
arbitrage.
Volatility Arb: Volatility arbitrage
is another market neutral strategy which
involves buying or selling of options (calls/puts)
depending on whether the volatility is high
(sell) or low (buy). If an option is trading
with a low implied volatility in other words
if the option is cheap (have low time premium),
then buy the option and simultaneously hedge
it by short-selling the underlying stock.
Thus locking in the profits over time as
the actual volatility exceeds the implied
volatility.
Similarly if an option is trading with
a high implied volatility in other words
if the option is expensive (have high time
premium), then sell the option and hedge
it by buying the underlying stock. Thus
locking in the profits over time as the
actual volatility reverts back to the historical
implied volatility.
The amount of underlying to be bought or
sold depends on the hedge ratio also called
delta of the option. Delta is the rate of
change of the option price per unit change
in the underlying. However, this strategy
involves continuous adjustment of the delta
to keep the position delta neutral.
Statistical Arb: Statistical arbitrage
is based on relative value with an approach
of mean reversion. Statistical arb, also
known as pairs trading, involves two highly
correlated stocks, in other words, finding
two stocks whose prices have moved together
historically. When the spread between them
widens, the overvalued stock is shorted
and simultaneously the undervalued stock
is bought. Profit is made when prices converge
and the spread narrows. The key element
for the successful implementation of this
strategy is finding two (or more) stocks,
sectors, indices that are highly correlated.
Pairs trading also works on divergence wherein
the spread between the two securities is
narrow and the bet is taken on the divergence
of the stock. In this case profit is incurred
when the spread between the two securities
widens.
Index Arb: In an efficient market,
two assets with identical attributes must
sell for the same price, and so should an
identical asset trading in two different
markets. If the prices of such an asset
differ, a profitable opportunity arises
to sell the asset where it is overpriced
and buy it back where it is under priced.
In index arbitrage, profit is locked in
from temporary discrepancies between the
prices of the stocks comprising an index
and the price of their index futures. By
buying either the stocks or the futures
contract and selling the other, an investor
can sometimes exploit market inefficiency
for a profit. Like all arbitrage opportunities,
index arbitrage opportunities disappear
rapidly once the opportunity becomes well-known
and many investors act on it.
Merger Arb: This is an event specific
strategy wherein the arbitrageur would go
long on the target shares and simultaneous
short the acquiring company shares. Firm
A which looks to acquire Firm B
would offer a premium price to B's
shareholders, which gives them the motivation
to part with their shares either for a cash
or stock in the acquiring or a mix of the
two, whichever the case may be. This would
bid up the price of the target company and
acquiring company's shares normally fall
succumbing to shorting pressure but there
still would be a mis-pricing which arbitrageurs
look to capture.
The simplest of all the merger deals is
cash deal and would simply require the arbitrageur
to buy the shares of the target company
and lock in the difference between its current
price and the one being offered. In a stock-for-stock
deal, where in the target's shareholders
are offered shares in the acquiring company;
one can normally observe a mis-pricing and
can be cashed on by buying the shares of
the target and simultaneously shorting the
acquirer's shares.
Whatever be the nature of the deal, be
it a cash deal, stock for stock, or even
a mix of the two, lesser the uncertainty
surrounding the completion of the deal,
lesser the gap. The strategy on surface
although looks fairly simple but can prove
to be catastrophic if the deal breaks off.
Merger deals are exposed to market sentiments,
regulatory guidelines, political environment
and the time horizon, which subsequently
contribute to the risks.
Conclusion
Arbitrage exists due to the inherent inefficiencies
in the market place and it makes the efficient
market theory look like a college professor's
theoretical paradise. Professional investors
are able to take advantage of these arbitrage
opportunities (which have small spreads)
due to the large investment amounts of monies,
sophisticated trading programmes and sometimes
better and quicker sources of information,
that reduce the latency in the execution
of trades.
An investor who aims to make slightly above
risk free rate of returns (above US treasuries)
with very limited market risks will be well
served by having an allocation to arbitrage
strategies.
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herein represents an interpretation and
analysis that is not guaranteed as to accuracy
or completeness. This report is published
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