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RMA’s Method for
Setting Volatile Factors
Dear Art,
Do you have
any updated info on the volatility factors, or are you still using 24 on
beans and 33 on corn?
Crop
Insurance Agent
Dear Agent,
RMA has started
posting the daily prices and volatility to set revenue guarantees at:
http://www3.rma.usda.gov/apps/pricediscoveryweb/ActiveDiscoveryPeriods.aspx
For most of the
Corn Belt, the corn volatility is current at 30 and beans at 23.
Below is the method RMA uses to set
volatility. The formula is posted and the link to RMA is:
http://www.rma.usda.gov/pubs/2011/volatilitymethodology.pdf
Art
RMA’s Volatility Factor
Calculation Methodology
RMA uses a measure of price volatility based on
the Black-Scholes Model, which is commonly used and accepted in finance.
This model provides a formula that translates options prices (the amount the
market charges to ‘lock-in’ a future price) into an implied volatility of
the price of the commodity. This price volatility is used in the calculation
of RMA’s premium rates for revenue coverage. The result is that the premium
rate RMA charges to lock-in a future (harvest time) price through crop
insurance is equivalent to what the market charges to lock in a price
through an options contract.
Implied volatility, being a common market
measure, is provided by a number of financial reporting services. RMA
utilizes the services of barchart.com as its source for market data. For
this calculation, RMA downloads the appropriate closing implied volatility
for the contract, for the day, as defined in the Commodity Exchange Price
Provisions (CEPP) of the Common Crop Insurance Policy Basic Provisions
(11-BR). The implied volatility is then adjusted to take into account the
time difference between the expiration of the options contract and the time
period RMA uses to establish the harvest price. The RMA Volatility Factor
for a given crop is based on the average of the time-adjusted volatility
factors for the last 5 days of the projected pricing period.
STEPS USED BY RMA TO ESTABLISH
THE VOLATILITY FACTOR
Determine the Projected Price and Harvest Price
monitoring periods from the CEPP.
For each of the last 5 days of the Projected
Price discovery period:
Determine the number of days
from that date until the midpoint of the Harvest Price discovery period (the
16th day of
the Harvest Price discovery month), and divide that number by 365;
Take the square root of that
quotient;
Multiply by the implied
volatility for the contract for the day; and
Determine the simple average
of the last five RMA calculated volatility factors for the projected pricing
period, rounded to 2 decimals.
EXAMPLE: Iowa corn
- Futures contract is CZ10 (December 2010
corn)
- Projected Price monitoring period is
February 1-28, 2010
- Harvest Price monitoring period is
November 1-30, 2010
So for example, for 2/22/2010, the logic is as
follows: .287=(((DATE(2010,11,16)-DATE(2010,2,22))/365)^0.5)*.336
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RMA calculated |
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Contract |
Date |
Implied Volatility |
volatility factor |
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CZ10 |
2/22/2010 |
0.336 |
0.287 |
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CZ10 |
2/23/2010 |
0.323 |
0.276 |
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CZ10 |
2/24/2010 |
0.323 |
0.275 |
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CZ10 |
2/25/2010 |
0.323 |
0.275 |
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CZ10 |
2/26/2010 |
0.326 |
0.277 |
Simple average of the 5 RMA
calculated volatility factors, rounded to 2 decimals = .28
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