Exploding Hedging Errors for Digital Options
Posted: 16 Feb 1999
Abstract
In the complete market model of geometric Brownian motion, all kinds of exotic options can be priced and hedged perfectly using a delta hedging strategy which duplicates the option's payoff. If trading takes place in a frictionless market, this delta hedging strategy is said to eliminate the option writer's risk completely. It will be shown that for certain contingent claims, for example digital options, the hedge can fail completely if the underlying risky asset does not follow the assumed geometric Brownian motion. Indeed, the hedging error may diverge and delta hedging can actually increase the risk of the option writer.
JEL Classification: G13
Suggested Citation: Suggested Citation
Gallus, Christoph, Exploding Hedging Errors for Digital Options. Available at SSRN: https://ssrn.com/abstract=149138
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