Hedging as a Trading Term for Derivative Replication
Summary
The document clarifies a terminology difference between trading practice and academic writing. At trading desks, “hedging” is commonly used for constructing a portfolio that replicates a derivative’s payoff. Academic papers more often call the same idea replication. The words describe related ways of discussing a portfolio built to reproduce an instrument’s behavior.
It also distinguishes synthesis, a less frequently used term, which often refers to reproducing a simple traded derivative from other products. Put-call parity provides an example: a European call can be synthesized from a European put, a share, and a zero-coupon bond. This is a brief explanation of usage, not a guide to constructing or maintaining a hedge. It gives no pricing model, implementation details, or discussion of how replication can be affected by market frictions or changing conditions.
Key ideas
- Trading desks commonly use hedging to describe replicating a derivative with a portfolio.
- Academic writing more often uses replication for this concept.
- Synthesis can describe building a simple derivative exposure from other traded instruments.
- Put-call parity can express a European call using a put, a share, and a zero-coupon bond.
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Full text
# Why does Bjork use the term "hedging" to denote a replicating portfolio? # Why does Bjork use the term "hedging" to denote a replicating portfolio? Reading Bjork's Arbitrage Theory in Continuous Time, he keeps using the word "hedging" and "hedging portfolio" when he's talking about replicating a derivative. Why? Is this other definition of the word "hedging" commonly used? ## Answer by Daneel Olivaw (score 3) https://quant.stackexchange.com/a/33706 Generally, "hedging" is the term most commonly used in practice $-$ i.e. at trading desks, etc. $-$ for "replication" (of a derivative), while "replication" is more commonly used in academic papers. A third term, used less often than the previous two, is "synthesizing" (my impression is that "synthesizing" is normally used when a traded, simple derivative is replicated with other products, e.g. througth put-call parity you can synthesize a vanilla European call with a European put, a share and a zero-coupon bond).
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