Short Hedge Example with Options

Joe Parcell and Vern Pierce, Department of Agricultural Economics

This guide details the placing of an output (short) hedge in the options market for use in reducing the price risk associated with selling an output produced in your business. A short hedge in the options market is referred to as the purchasing of a put option. For example, a cattle producer knows he/she will be selling a pen of cattle two months from now. The producer knows that by selling live cattle for over $62/cwt. he/she can insure a satisfactory profit. Currently, the local live cattle price is $64/cwt., and the producer believes that the fed price may drop during the next few months. By knowing the cost of production of these animals, the producer knows that the $64/cwt. will allow for a satisfactory profit. What can the producer do? The producer cannot sell the cattle now because the cattle are too small; however, the producer could enter the options market and partially off-set any loss in value (decrease in price) with a gain in option value.

How do I Place a Hedge?

Placing a hedge can be a simple process. First, knowing your cost of production helps you know when to place a hedge. To place a hedge, you need to contact a broker with whom you place your order. Most large communities have a broker who will take your order for a set fee (as is common when placing any futures/options market order). The broker can be helpful in informing you on how to appropriately place and exit your hedging position. The broker has a stake, i.e., commission, in making sure your experience with hedging is a good one. After you have placed the order with the broker, the broker will contact a brokerage house at the commodity exchange and relay the order. On the trading floor open out-cry is used in matching market supply and demand forces. If you want to place a long hedge using options (put option), there will always be someone willing to write a put option provided you are willing to pay the market price. This process is known as arbitrage and is discussed in more detail in accompanying risk management guide in this series. As a hedger you must also know at what strike price you would like to enter the options market. For more information see an Introduction to Hedging Agricultural Commodities with Options.

In the, Out of the, and At the Money Options, What is the Difference?

The price paid for the option is referred to as the premium. The amount of the premium paid is related to the strike price. The strike price chosen comes from a predetermined range of values that is different for each commodity. A put option is said to be in the money if the strike price is above the underlying futures price. A put option is said to be at the money if the strike price is equal to the underlying futures price. A put option is said to out of the money if the strike price is below the underlying futures price. At any given time, the range of strike prices quoted will cover values in the money, at the money, and out of the money. Thus, a hedger or speculator has the option of purchasing an option at any of these three levels. Typically, options in the money will have the highest premium , followed by options at the money, and options out of the money will be the cheapest.

What Determines the Value of an Option Premium?

The option premium is the value the hedger pays for the right to later take a futures position. The premium is based on the intrinsic value (the difference between the strike price and the underlying futures price) and time value (number of days remaining until expiration of the contract). If the futures market decreases a put option should theoretically increase in value; however, this need not be the case.

What Can Happen With the Short Hedge?

A. Cash Price and Options Value both Decrease

B. Cash Price and Options Value both Increase C. The Cash Price Changes by a Minimal Amount and the Options Value Expires What is the Exercise of a Put Option?

Table 1. Short Hedge Example using Options.
Corn Example - Cash Price and Futures Price Both Decrease
Cash and Futures Options Price
Today: Cash $2.35/bu.
            Futures $2.40/bu.
Purchase $2.50/bu. Put at $0.20/bu.
              (pay $1000 plus commission)
Later: sell corn in local market at $2.15/bu.
           Futures $2.20/bu.
Sell $2.50/bu. Put at $0.35/bu.
              (receive $1750 less commission)
Results Cash price received          $2.15/bu.
Less Commission              $0.01/bu
Plus Option Premium gain $0.15/bu
------------------------------------
Net selling price                $2.29/bu.
Note: Basis is held constant

Table 2. Short Hedge Example using Options.
Corn Example - Cash Price and Futures Prices Both Increase
Cash and Futures Options Price
Today: Cash $2.35/bu.
            Futures $2.40/bu.
Purchase $2.50/bu. Put at $0.20/bu.
              (pay $1000 plus commission)
Later: sell corn in local market at $2.60/bu.
           Futures $2.65/bu.
Sell $2.50/bu. Put at $0.05/bu.
              (receive $250 less commission)
Results Cash price received          $2.15/bu.
Less Commission              $0.01/bu
Less Option Premium gain $0.15/bu
------------------------------------
Net selling price                 $2.44/bu.
Note: Basis is held constant

Table 3. Short Hedge Example using Options.
Corn Example - Cash and Futures Price Don't Change and the Option Expires Worthless
Cash and Futures Options Price
Today: Cash $2.35/bu.
            Futures $2.40/bu.
Purchase $2.50/bu. Put at $0.20/bu.
              (pay $1000 plus commission)
Later: sell corn in local market at $2.34/bu.
           Futures $2.39/bu.
Sell $2.50/bu. Put at $0.00/bu.
              (receive $0 less commission)
              Option Expires Worthless
Results Cash price received          $2.34/bu.
Less Commission              $0.005/bu
Less Option Premium loss $0.20/bu
------------------------------------
Net selling price                $2.135/bu.
Note: Basis is held constant

Table 4. Short Hedge Example using Options.
Corn Example - Cash and Futures Price Both Decrease, Exercise Option
Cash and Futures Options Price
Today: Cash $2.35/bu.
            Futures $2.40/bu.
Purchase $2.50/bu. Put at $0.20/bu.
              (pay $1000 plus commission)
Later: sell corn in local market at $1.95/bu.
           Futures $2.00/bu.
Option Value is $0.35/bu. Therefore, Exercise
Option at $2.50/bu. and Offset in Futures Market
at $2.00/bu. for a increase in value of $0.25/bu.
              (receive $2250 less commission)
Results Cash price received          $1.95/bu.
Less Commission             $0.01/bu
Plus Option Exercise gain $0.25/bu
------------------------------------
Net selling price                $2.19/bu.
Note: Basis is held constant

For more Information contact:

Joe Parcell Vern Pierce
Extension Economist Beef Economist, Commercial Agriculture Program
223E Mumford Hall 223D Mumford Hall
University of Missouri University of Missouri
Columbia, MO 65211 Columbia, MO 65211
Ph. (573) 882-0870 Ph. (573) 882-8229
Fax: (573) 884-6572 Fax: (573) 884-6572
parcellj@missouri.edu piercev@missouri.edu

Accompanying Publications in Risk Management Series:



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