Uploaded by howm

P3 january2014 fmarticle

advertisement
RESOURCE
In this issue:
Paper P2
Performance
Management
STUDY NOTES
Paper P3
Performance
Strategy
When dealing with futures contracts involving
foreign currencies or interest rates, it is easiest
first to consider the situation of futures in
physical commodities, since the same basic
principles apply to both transaction types
By David Collingridge
Futures contracts can be used as a hedging technique
and for speculation – two activities that are closely linked.
Hedging is an attempt to transfer risk to other parties with
a different appetite for it, such as speculators, or to find
those who have a diametrically different view of the market.
Futures markets arose as a way of dealing with the
uncertainty in agricultural markets. As a farmer, say, I will
not know the price I’ll obtain for the crops I am growing,
because I won’t be delivering it for maybe six months.
But I need to spend money now on the assumption that I’ll
receive a certain price for my produce later. My fear is that
the price will fall. On the other side of the market there
are buyers who are aware that the price can also increase.
They need to be certain about their future costs.
One of the key features of agricultural markets is the
uncertainty that surrounds not only the price but also the
STUDY NOTES
delivery date, because this usually depends on the weather.
In effect, this factor precludes the use of forward contracts.
This type of contract crystallises on a specific date, but
crops do not mature according to deadlines. Even in the
case of meat products such as carcasses, delays may arise,
because the animals might not put on the expected weight
by the time the contract takes effect. For a buyer, a forward
contract ties the purchase to a specific date and supplier,
which might not always be appropriate. The buyer might
want to make the purchase later or buy earlier from a
different supplier, depending on the circumstances.
Forward contracts are subject to credit risk, too: I have
agreed to deliver or purchase a commodity on a specific
date, but can you trust me to honour that promise when the
time comes?
Futures markets provide a mechanism for solving both of
these problems. First, they enable the two parties to “fix”
the price now through the use of a gamble. Futures also
give a degree of timing flexibility (at least up to their expiry
or delivery date). In a futures contract no commodities
actually need to change hands if the contract is “closed
out”. Closing out is the process of reversing the position
from that taken at the start. If we had originally entered the
futures market with the intention of selling the underlying
assets – carcasses, say – we can later close this position by
delivering the meat to the counterparty at the agreed price.
Alternatively, we can close out by re-entering the futures
market and agreeing to buy what we were going to sell.
These two contracts then cancel each other out. But there
is no guarantee that the prices at which we contracted to
sell and buy will be the same. This means that we will have
made a profit or loss on the futures position. We then use
this profit or loss to neutralise the loss or profit on the
underlying transaction.
Second, futures markets remove the problem of credit
risk by insisting that both parties put up money with the
STUDY NOTES
exchange. This sum, known as margin, is held to cover the
size of any potential losses made on the contract taken out,
whether it was to buy or sell. Should losses continue to
increase on the futures position (reducing the amount of
margin held by the exchange), the exchange will make a
call for further money, which is known as variation margin.
This means that there’s never any credit risk to consider.
If one of the parties were to fail to answer the call for
variation margin, the exchange would close out its position.
The losses would crystallise at this point but be covered by
the margin already taken by the exchange.
Carcass case study
It is now January and the current price of carcasses is $10
per unit, but a farmer may fear that the price he can obtain
will fall by the time he’s in a position to supply them. If he’ll
have 5,000 carcasses to sell in May, he can enter a futures
contract now to sell these at $10 per unit. There may be a
buyer, such as a restaurant chain, that is afraid that the
price of carcasses will rise. The buyer can enter a contract
to purchase 5,000 carcasses at $10 apiece. Providing that
there are matching supplies and demands at the current
price, the contract can proceed.
What happens in May will hinge upon the supply and
demand for carcasses at that point. The market price may
rise to $12, which would clearly be good for the farmer but
bad for the buyer. On the other hand, if the price falls to $7,
this would be bad for the farmer but good for the buyer.
What happens if they’ve both entered a futures contract?
To answer this, we first consider what will have happened
to the future price and why. If the price of the underlying
asset rises to $12, we’d assume that the price of the future
is also $12. The reason for this is arbitrage – see the next
section on the relationship between future prices and spot
market prices. (Similarly, if the market price falls to $7,
we’d expect the futures price to fall to a similar level.)
STUDY NOTES
Closed-out positions
The farmer will have made a profit on his carcasses of
5,000 x ($12 – $10) = $10,000. This is neutralised by the
loss on his futures position, as he would have sold carcass
futures at $10 and now has to buy them back at $12 in
order to close out his position, meaning that he makes an
equalising loss of $10,000. In effect, he has fixed the price
at $10. The position for the farmer is shown below.
Underlying transaction (seller)
Profit/loss on futures position
Net receipts
5,000 x $12 = $60,000
5,000 x ($10 – $12) =-$10,000
$50,000
Expected receipts at commencement
5,000 x $10 = $50,000
Discrepancy0
Hedge efficiency (net receipts ÷ planned value) £50,000 ÷ £50,000 =
100%
The buyer’s position is exactly the opposite: there
will be a loss on the underlying transaction because the
(spot) market price has risen, but the profit gained on
the futures neutralises this loss.
The relationship between future prices and
spot market prices
Futures are subject to three types of risk that should be
considered by both buyers and sellers. Basis risk and
quantity risk apply in all cases; quality risk applies only
where firms engage in cross-hedging (see last section).
The spot market price for an asset such as a carcass
and the current futures price for the carcass will be similar.
(In our carcass example they are the same for simplicity.)
If this were not the case, an opportunity for arbitrage
profit would exist. Speculators would take advantage of
this opportunity and in the process remove the difference.
STUDY NOTES
In our example, if the price of the future remains at
$10 at expiry and the spot market price is $12, we could
agree to buy at $10 using the future contract and then sell
immediately on the spot market at $12, making a profit
on the deal. This opportunity is open to any buyer of the
future and means that there would be more buyers than
sellers of futures for carcasses. This would cause the future
price to rise in line with the spot market price. In general,
it is unlikely that the two will be exactly the same. There
is only one occasion when they can be guaranteed to be
exactly the same: the last day of the futures contract.
At this point it is possible for buyers and sellers to switch
readily between the two markets. This means that it would
be impossible for there to be a price difference, because
the two markets are the same.
Before the expiry date we would have to take into
account the time value of money tied up in the physical
asset and therefore interest rates, as well as the cost of
storing physical commodities, meaning that there will
usually be a difference between the spot price and the
future price. This discrepancy between the two prices is
known as the basis risk.
Determining basis risk
If the only factor that had to be considered were the cost
of storing the underlying asset, we would expect the future
price to be higher than the spot market price (the spot
price includes storage and opportunity costs, which
therefore reduce its value compared with the equivalent
future). We would expect the basis risk for a commodity to
reduce steadily as the delivery date on the future contract
approaches, disappearing entirely on that date.
At the delivery date there is no further cost of storing
the physical asset to consider. This is also true of the future
and why the two prices will now be the same. This idea can
be represented by the diagram on the next page.
STUDY NOTES
Price
Basis
risk
Time path of futures price
NowDelivery
Time
The diagram shows the adjustment process as smoothly
continuous. This unlikely to be the case in reality. Prices in
both the spot and future markets are governed by supply
and demand, plus factors driving supply and demand – eg,
market expectations, volumes and the prices of substitute
products. These factors will disrupt the smooth path of the
futures price illustrated here.
Basis risk will be one of the factors that affect hedge
efficiency – ie, the ability of the hedging instrument to fully
cover the gain or loss that arises on the transaction at the
underlying transaction date. The existence of basis risk
means that it is possible that the profit or loss on the
futures hedge might not fully cover the loss or profit on the
underlying transaction, leading to less than 100 per cent
efficiency, or that it might more than cover it, leading to
more than 100 per cent efficiency.
Basis risk and the timing of hedging
Basis risk provides an explanation of why it is generally
recommended that, when you’re hedging a transaction,
you choose a contract date that is just after the transaction
date. If a transaction is expected to occur in May, for
instance, June contracts would generally be recommended.
There is no reason why September contracts could not also
be used, but these contracts would potentially result in a
greater profit or loss resulting from the bigger basis risk.
To keep things simple in the diagram on the next page,
the basis risks for both June and September are shown as
equal in the present. This is unlikely to be the case in
practice. The diagram shows that, with both time paths
STUDY NOTES
converging on the spot price by their respective delivery
dates, there will always be bigger basis risk from the
longer-dated contract. This means bigger losses or profits
on the futures contracts to counteract the position on the
underlying transaction. The aim of hedging is to limit risk:
the September contracts are less desirable than the June
contracts for a transaction date in May.
Time path of September futures price
Basis
Basis:
risk: Sep
risk: Jun Time path of June futures price
Now
June
September
While it usually makes sense to choose contracts that
expire just after the transaction date, this is not a definitive
rule. If we have a receipt from a customer due to pay in May
but we fear they might not pay until July, say, June futures
would expire too early. A profit or loss would crystallise on
the futures in June, which might not cover the actual profit
or loss on the underlying transaction in July. Indeed, it
might be possible to have made losses on both the futures
and the underlying transaction because of a contrary
movement in the asset between June and July. In this case
it might have been justifiable to have used the September
contracts to hedge the “possible” May transaction.
Quantity and quality risk
Futures hedging is subject to quantity and, potentially,
quality risk as well as basis risk. This is because contracts
come with predetermined expiry dates and sizes. The
transaction we wish to make may not match exactly in
terms of the contract sizes. If contract sizes are, say, 1,000
units but we wish to hedge an underlying transaction of
3,300 units, we will not be able to buy 3,300 ÷ 1,000 = 3.3
contracts. Futures exchanges deal only in discrete contract
STUDY NOTES
David Collingridge is
a senior lecturer at
Kaplan Financial
sizes, so we’d have to round down to three contracts and in
doing so we would be under-hedged.
Futures do not exist in all commodities, but in such cases
there may be a future that is a close substitute that could
be used instead. This is known as cross-hedging, which is
subject to quality risk. Taking fossil-fuel commodities as an
example, there are no futures in natural gas but there are in
crude oil. Providing that the two commodities’ prices move
broadly in tandem, it is possible to use crude oil futures to
hedge a transaction in natural gas. Quality risk arises
because of the residual risk that the two will not move
exactly in line with each other.
All future contracts, whether physical or financial,
have similar features and operate according to the same
principles. Financial futures are subject to quantity risk
and basis risk in the same way that physical commodities
are. The calculations for currency futures follow the same
principles. They seem more confusing only because the
“price” in this case is an exchange rate.
Download