When Commodity Dynamic Hedging Resembles a Call Option

Summary

The document poses a conceptual question about a company managing commodity exposure through dynamic hedging. The described policy begins with a market price and a higher budget price, which acts as a maximum acceptable average purchase level. The company hedges part of its exposure, increases the hedged share as prices rise, and reduces it as prices fall. The author asks whether this payoff pattern can be shown mathematically to replicate buying an option struck at the budget price.

No answer, derivation, or evidence is included, so the proposed equivalence is unresolved. Establishing it would require precise definitions of the hedge rule, exposure and averaging period, as well as assumptions about prices, transaction costs, and rebalancing. Dynamic changes in hedge size can resemble option-like exposure, but the description alone does not establish replication or determine an option’s payoff. The text is useful as a question about hedging mechanics, with clear limits as a standalone explanation.

Key ideas

• The proposed policy adjusts the hedged share of commodity exposure as prices move.
• The budget price is presented as a threshold for the average cost of the commodity.
• The author asks whether the policy replicates an option struck at that budget price.
• The document includes no proof, answer, or evidence establishing the proposed equivalence.
• A mathematical comparison would depend on the hedge rule and assumptions about costs and rebalancing.

Tags

# replicate option by dynamic hedging


# replicate option by dynamic hedging












I've just started working for a company with a decent commodity exposure. They manage this by as they call it dynamically hedging it. Basically when they start the hedging they identify a market price and a budget price x% above the market. This budget price is the maximum they are willing to pay on average for the commodity. To achieve this they hedge a percentage of the portfolio and increase this if prices go up and decrease this when prices go down. I'm pretty convinced by this strategy they replicate buying an option at the strike of the budget price but I'm struggling to mathematically prove this. Any help?

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