Why Forward Contracts Are The Foundation Of All Derivatives
The most complex type of investment products fall under the broad category of derivative securities. For most investors, the derivative instrument concept
is hard to understand. However, since derivatives are typically used by
governmental agencies, banking institutions, asset management firms and
other types of corporations to manage their investment risks, it is
important for investors to have a general knowledge of what these
products represent and how they are used by investment professionals.
Forward Derivative Contract Overview
As
one type of derivative product, forward contracts can be used as an
example to provide a general understanding of more complex derivative
instruments such as futures contracts, options contracts and swaps
contracts. Forward contracts are very popular because they are
unregulated by the government, they provide privacy to both the buyer
and seller, and they can be customized to meet both the buyer's and
seller's specific needs. Unfortunately, due to the opaque features of
forward contracts, the size of the forward market is basically unknown.
This, in turn, makes forward markets the least understood of the various
types of derivative markets.
Due to the
overwhelming lack of transparency that is associated with the use of
forward contracts, many potential issues may arise. For example, parties
that utilize forward contracts are subject to default risk, their trade completion may be problematic due to the lack of a formalized clearinghouse,
and they are exposed to potentially large losses if the derivatives
contract is structured improperly. As a result, there is the potential
for severe financial problems in the forward markets to overflow from
the parties that engage in these types of transactions to society as a
whole. To date, severe problems such as systemic default among the
parties that engage in forward contracts have not come to fruition.
Nevertheless, the economic concept of “too big to fail” will always be a
concern, so long as forward contracts are allowed to be undertaken by
large organizations. This problem becomes an even greater concern when
both the options and swaps markets are taken into account.
Trading and Settlement Procedures for a Forward Derivative Contract
Forward contracts trade in the over-the-counter
market. They do not trade on an exchange such as the NYSE, NYMEX, CME
or CBOE. When a forward contract expires, the transaction is settled in
one of two ways. The first way is through a process known as “delivery.”
Under this type of settlement, the party that is long the forward
contract position will pay the party that is short the position
when the asset is delivered and the transaction is finalized. While the
transactional concept of “delivery” is simple to understand, the
implementation of delivering the underlying asset may be very difficult
for the party holding the short position. As a result, a forward
contract can also be completed through a process known as “cash
settlement.”
A cash settlement is more complex than a
delivery settlement, but it is still relatively straightforward to
understand. For example, suppose that at the beginning of the year a
cereal company agrees through a forward contract to buy 1 million
bushels of corn at $5 per bushel from a farmer on Nov. 30 of the same
year. At the end of November, suppose that corn is selling for $4 per
bushel on the open market.
In this example, the cereal company, which is long the forward contract
position, is due to receive from the farmer an asset that is now worth
$4 per bushel. However, since it was agreed at the beginning of the year
that the cereal company would pay $5 per bushel, the cereal company
could simply request that the farmer sell the corn in the open market at
$4 per bushel, and the cereal company would make a cash payment of $1
per bushel to the farmer. Under this proposal, the farmer would still
receive $5 per bushel of corn. In terms of the other side of the
transaction, the cereal company would then simply purchase the necessary
bushels of corn in the open market at $4 per bushel. The net effect of
this process would be a $1 payment per bushel of corn from the cereal
company to the farmer. In this case, a cash settlement was used for the
sole purpose of simplifying the delivery process.
Currency Forward Derivative Contract Overview
Derivative contracts can be tailored in a manner that makes them complex financial instruments. A currency forward
contract can be used to help illustrate this point. Before a currency
forward contract transaction can be explained, it is first important to
understand how currencies are quoted to the public, versus how they are
used by institutional investors to conduct financial analysis.
If
a tourist visits Times Square in New York City, he will likely find a
currency exchange that posts exchange rates of foreign currency per U.S.
dollar. This type of convention is used frequently. It is known as an indirect quote
and is probably the manner in which most retail investors think in
terms of exchanging money. However, when conducting financial analysis,
institutional investors use the direct quotation
method, which specifies the number of units of domestic currency per
unit of foreign currency. This process was established by analysts in
the securities industry, because institutional investors tend to think
in terms of the amount of domestic currency required to buy one unit of a
given stock, rather than how many shares of stock can be bought with
one unit of the domestic currency. Given this convention standard, the
direct quote will be utilized to explain how a forward contract can be
used to implement a covered interest arbitrage strategy.
Assume
that a U.S. currency trader works for a company that routinely sells
products in Europe for euros, and that those euros ultimately need to be
converted back to U.S. dollars. A trader in this type of position would
likely know the spot rate and forward rate between the U.S. dollar and the euro in the open market, as well as the risk-free rate of return
for both the U.S. dollar and the euro. For example, the currency trader
knows that the U.S. dollar spot rate per euro in the open market is
$1.35 U.S. dollars per euro, the annualized U.S. risk-free rate is 1%
and the European annual risk-free rate is 4%. The one-year currency
forward contract in the open market is quoted at a rate of $1.50 U.S.
dollars per euro. With this information, it is possible for the currency
trader to determine if a covered interest arbitrage opportunity is
available, and how to establish a position that will earn a risk-free
profit for the company by using a forward contract transaction.
Example of a Covered Interest Arbitrage Strategy
To
initiate a covered interest arbitrage strategy, the currency trader
would first need to determine what the forward contract between the U.S.
dollar and euro should be in an efficient interest rate environment. To
make this determination, the trader would divide the U.S. dollar spot
rate per euro by one plus the European annual risk-free rate, and then
multiply that result by one plus the annual U.S. risk-free rate.
[1.35 / (1 + 0.04)] x (1 + 0.01) = 1.311
In
this case, the one-year forward contract between the U.S. dollar and
the euro should be selling for $1.311 U.S. dollars per euro. Since the
one-year forward contract in the open market is selling at $1.50 U.S.
dollars per euro, the currency trader would know that the forward
contract in the open market is overpriced. Accordingly, an astute
currency trader would know that anything that is overpriced should be
sold to make a profit, and therefore the currency trader would sell the
forward contract and buy the euro currency in the spot market to earn a
risk-free rate of return on the investment.
The covered interest arbitrage strategy can be achieved in four simple steps:
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Step 1: The currency trader would need to take $1.298 dollars and use it to buy €0.962 euros.
To determine the amount of U.S. dollars and euros needed to implement the covered interest arbitrage strategy, the currency trader would divide the spot contract price of $1.35 U.S. dollars per euro by one plus the European annual risk-free rate of 4%.
1.35 / (1 + 0.04) = 1.298
In this case, $1.298 U.S. dollars would be needed to facilitate the transaction. Next, the currency trader would determine how many euros are needed to facilitate this transaction, which is simply determined by dividing one by one plus the European annual risk-free rate of 4%.
1 / (1 + 0.04) = 0.962
The amount that is needed is €0.962 euros.
Step 2: The trader would need to sell a forward contract to deliver €1.0 euro at the end of the year for a price of $1.50 U.S. dollars.
Step 3: The trader would need to hold the euro position for the year, earning interest at the European risk-free rate of 4%. This euro position would increase in value from €0.962 euro to €1.00 euro.
0.962 x (1 + 0.04) = 1.000
Step 4: Finally, on the forward contract expiration date, the trader would deliver the €1.00 euro and receive $1.50 U.S. dollars. This transaction would equate to a risk-free rate of return of 15.6%, which can be determined by dividing $1.50 U.S. dollars by $1.298 U.S. dollars and then subtracting one from the answer to determine the rate of return in the proper units.
(1.50 / 1.298) – 1 = 0.156
The mechanics of this covered interest arbitrage strategy are very important for investors to understand, because they illustrate why interest rate parity must hold true at all times to keep investors from making unlimited risk-free profits.
To determine the amount of U.S. dollars and euros needed to implement the covered interest arbitrage strategy, the currency trader would divide the spot contract price of $1.35 U.S. dollars per euro by one plus the European annual risk-free rate of 4%.
1.35 / (1 + 0.04) = 1.298
In this case, $1.298 U.S. dollars would be needed to facilitate the transaction. Next, the currency trader would determine how many euros are needed to facilitate this transaction, which is simply determined by dividing one by one plus the European annual risk-free rate of 4%.
1 / (1 + 0.04) = 0.962
The amount that is needed is €0.962 euros.
Step 2: The trader would need to sell a forward contract to deliver €1.0 euro at the end of the year for a price of $1.50 U.S. dollars.
Step 3: The trader would need to hold the euro position for the year, earning interest at the European risk-free rate of 4%. This euro position would increase in value from €0.962 euro to €1.00 euro.
0.962 x (1 + 0.04) = 1.000
Step 4: Finally, on the forward contract expiration date, the trader would deliver the €1.00 euro and receive $1.50 U.S. dollars. This transaction would equate to a risk-free rate of return of 15.6%, which can be determined by dividing $1.50 U.S. dollars by $1.298 U.S. dollars and then subtracting one from the answer to determine the rate of return in the proper units.
(1.50 / 1.298) – 1 = 0.156
The mechanics of this covered interest arbitrage strategy are very important for investors to understand, because they illustrate why interest rate parity must hold true at all times to keep investors from making unlimited risk-free profits.