Option Hedge Strategies and Calculations

The whole unit on one sheet: match the hedger to the right option, and the arithmetic follows; flip them and every answer inverts.

Who Fears What, and Which Option Fixes It?

• The seller (owns the cash now, or will produce and sell it later) is the same short hedger from the hedging-theory unit: long the cash and long the basis, fearing a price decline. The fix is a long put.
• The buyer (must purchase the cash later) is the same long hedger: short the cash and short the basis, fearing a price rise. The fix is a long call.
• A put is the right to sell futures at the strike; a call is the right to buy futures at the strike. Reaching for the wrong option, a seller buying a call or a buyer buying a put, is the classic trap.

How Does the Long Put Set a Floor?

• Effective floor (minimum selling price) = put strike minus premium paid. The premium is subtracted because it is a real, up-front cost paid either way.
• If cash falls below the strike, the put's gain lifts net proceeds to the floor. If cash rises above the strike, the put expires worthless, the seller loses only the premium, and sells into the higher market.
• Maximum loss on the option is the premium.

How Does the Long Call Set a Ceiling?

• Effective ceiling (maximum purchase price) = call strike plus premium paid. The premium is added because it is a real, up-front cost on top of the physical.
• If cash rises above the strike, the call's gain caps net cost at the ceiling. If cash falls below the strike, the call expires worthless, the buyer loses only the premium, and buys in the lower market.
• Maximum loss on the option is the premium.

Futures Hedge or Option Hedge: Which Protects What?

• A futures hedge costs no premium and locks the price both ways, but it surrenders any favorable move: the short hedger cannot benefit from a rally, the long hedger cannot benefit from a decline.
• An option hedge costs the premium but protects only the adverse direction while keeping the favorable one. The premium is the price of that one-sided coverage.
• Both fully protect the adverse side. The choice is cost-free certainty (futures) versus paying to keep the good direction (option), not right versus wrong.

Which Numbers Matter Most?

Which Gotchas Trip Students Up?

• A seller who buys a call to protect against a drop, or a buyer who buys a put to protect against a rise, has the pairing backwards.
• The floor is strike minus premium; the ceiling is strike plus premium. Flipping either sign inverts the math.
• An option hedge is not "no cost" or "locks both ways like futures." It costs the premium, and its only edge is keeping the favorable direction.
• When the option expires worthless, that is the good outcome, not a loss to fear: the favorable move happened, and the expired premium is what it cost to keep it.

What Is the Memory Aid for Matching Hedger to Option?

A seller sells, so the seller's tool is the right to sell: a put, floored below. A buyer buys, so the buyer's tool is the right to buy: a call, capped above.

One-Breath Recap

A hedger who already knows the futures hedge can instead buy an option for the same protection at the cost of a premium: a seller who is long the cash and fears a decline buys a put, setting a floor at strike minus premium, while a buyer who is short the cash and fears a rise buys a call, setting a ceiling at strike plus premium, and either way the option's maximum loss is the premium paid. A futures hedge locks the price both ways for free but surrenders any favorable move, while the option protects only the adverse direction and keeps the favorable one, so an option expiring worthless because the market moved favorably is the good outcome, not a failure.

Need more than the recap? Read the full Option Hedge Strategies unit.