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Compare Livestock Risk Protection (LRP)
Contract with
Chicago
Mercantile Exchange (CME) Put Option Premiums for Similar Coverage
Introduction. The Risk Management Agency
(RMA) recently released the Livestock Risk Protection (LRP) contract for
feeder cattle. The alternative
tool for managing downside price risk on livestock is the Chicago
Mercantile Exchange (CME) put option.
Because these coverages are similar it is natural to compare the
features and costs of each product. Therefore
a model was created to compare LRP with the put option. LRP
and puts provide similar protection but not exactly the same protection.
One needs to make adjustments to the put option so that it provides
the same coverage as LRP for direct comparisons.
The original KSU model
developed to make this comparison was viewed by many as complicated and
did not provide clear and accurate information. The new model reorganizes
the report so that it is easier to understand. Besides
the reorganization, the premium comparison was converted to a per hundred
weight comparison rather than comparing premiums based on a CME 50,000
pound put contract.
The CME is a “lumpy
tool” because it only comes in increments of 50,000 pounds, while the
LRP has the advantage of providing coverage on a single calf.
This will allow feeder cattle producers to hedge the exact number
of cattle they produced. While
the put option often leaves producers either over or under hedged and both
are costly activities.
Section
I.
The perimeters of the current day’s LRP offer are reported in
this section. Producers must
select the length of coverage under the LRP contract.
Currently, the shortest period is 21 weeks and the longest period
is 43 weeks. In the model the
26 week LRP contract is being tracked, which corresponds to the April put.
In the near future this LRP contract will revert to a 21 week
coverage contract under LRP that will equate with the April put.
Once the LRP 21 day contract offer has the same expiration date as
the April put, the 21 week contract will then roll over to May as the
comparison option. Currently,
the 26 week option is rated based on the March and April puts but the LRP
expiration date continues to decline one day at a time as shown on line 3
(table 1).
The maximum coverage
level is set by RMA and can not exceed 95 percent of the expected market
price for the expiration date as reported on line 3 (table 1).
The LRP guarantee or “put strike” coverage level also changes
daily and the level of coverage is tied back to a specific option that is
trading. Under some conditions
while the 95 percent rule would allow for a higher guarantee the
equivalent option is not trading on the CME.
Therefore, the LRP coverage is not offered for that particular
coverage level. The coverage
level offers and guarantees are provided in the rating software for the
current day’s offer. The RMA
calculation software will provide the farmer paid premium for a calf based
on the expected market weight at the LRP expiration date.
Producers can calculate the current LRP premium costs for their
calves by going to the web site located at: http://www3.rma.usda.gov/apps/premcalc/
The model simply converts the premium cost per calf as reported in
the RMA premium calculator to a farmer paid LRP premium per hundred weight
as reported on line 7 (table 1).
Section
II.
The next section calculates the current value of a put option that
will provide similar protection as the LRP contract in section I.
For the offer on
10/28/03
the April option expiration date is
4/29/04
that will be compared with LRP.
The April feeder cattle futures closed at $88.20.
Futures decreased (or increased) on
10/28/03
by $1.50 or a maximum limit move (line 10,
table 1). The April feeder
cattle put strike used was $84.00 and that compares with the LRP guarantee
above. On
10/28/03
the April $84.00 put closed at $3.10.
There is clearly an
argument that could be made that producers will likely need to bid higher
than the closing price to actually get a put order filled, especially on
the deferred options. Deferred
options are “thinly” traded in the feeder cattle market.
Producers buying options would also have to pay a commission and
commissions vary greatly from broker to broker.
Therefore, producers may need to adjust the commission cost on line
13 (table 1). If the analysis
overstates the commission but understates the put premium then the two
errors probably cancel each other out.
Under these assumptions the total premium cost for a put on
10/28/03
would have been $1,625.
The put option must be bought in this 50,000 pound increment and
the $1,625 would be the actual cost. For
comparison purposes with the LRP the total put cost was converted to a per
hundred weight cost or $3.25 on
10/28/03
.
Section
III. The next section simply
calculates the difference between the LRP cash cost versus a put on a per
hundred weight basis. On
10/28/03
the LRP costs 78 cents per hundred weight
less than the equivalent put option. This
represents an LRP premium that is 24 percent lower than a similar put
option as reported on line 17 (table 1).
Section
IV. Through section III
farmers can make this comparison with really no sophisticated analysis.
All of the information can easily be accessed on the Internet.
However, those cash cost comparisons are not equally comparable
because there are differences in the LRP coverage versus a put option.
Besides the flexibility of matching the protection to the size of
the herd, under the LRP contract, the LRP contract has a different
expiration date then does the put option.
Because the LRP
expires between the March put expiration date and the April put expiration
date, an estimated LRP market price was calculated based on the
relationship between March CME feeder cattle futures and April CME feeder
cattle futures and reported on line 18 (table 1).
On line 19 (table 1), a waited average implied volatility was
calculated based on the April and March puts.
The next step was to simply take the expected market
price and volatility for the LRP expiration date and calculate a
theoretical “put” premium based on those parameters.
A calculated “put” premium, using standard rating software,
based on an expected market price of $88.257 and a volatility of 20.16,
would generate a premium of $3.033 per hundred weight.
The per hundred weight commission costs were added to the total put
premium on line 21 (table 1). The
$3.18 value on line 21 (table 1) represents the per hundred weight cost
for a “put” option that has the same coverage provided in the LRP
contract.
Section V.
The current market value of a calculated “put” that provides
the same coverage as the LRP coverage was then computed with the current
LRP offer. The LRP was 71
cents per hundred weight cheaper than the calculated “put” value on
10/28/03 and reported on line 22 (table 1).
LRP provides the same coverage for about 22.42 percent less premium
on
10/28/03
.
As a general statement, days when the cash price is
substantially cheaper for LRP than the equivalent put, are days when
livestock producers are likely to purchase the LRP coverage.
While this cash comparison on line 16 does not account for the
differences between the put and the LRP, it is good starting point and
requires very little analysis. One
needs to calculate the theoretical value of a put that has the same
coverage and expiration date as the LRP contract to make a complete
comparison.
Update. The
model is updated “often” on the Web site located at: http://www.agmanager.info/crops/insurance/price_risk/pr_pdf03/sipmod04LRP.pdf
The model will not be updated daily.
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