Delta Hedging a Swaption with Its Forward Swap

Summary

The document explains the instrument used to delta hedge a swaption: an amount of the underlying forward starting swap. For a swaption expiring in one month on a ten-year swap, the hedge is therefore a forward swap that begins at expiry and runs for ten years. Its notional is based on the swaption notional multiplied by the option’s delta.

The answer confirms this hedge structure but gives no calculation procedure, market inputs, or worked example. It cautions that the delta percentage is not straightforward to determine and depends on the model used. The note is therefore a conceptual guide to the hedge instrument, not a complete method for estimating hedge size or managing model and market risks.

Key ideas

• A swaption’s delta hedge uses the underlying forward starting swap.
• The hedge swap begins when the swaption expires and matches the underlying swap’s tenor.
• The hedge notional depends on the swaption’s delta and notional.
• Delta estimates vary across models, so the hedge amount requires model-specific calculation.

Tags

# Answer by dm63 (score 0, accepted)


# Can I Delta hedge Swaption with 1month option expiry on 10 year swap as 1 month forward starting swap (expiry 10 yr) & notional as Delta% of swaption












Whether below is correct

1 month expiry of swaption with 10 year swap underlying can be delta hedged as with below swap:

Notional of swap = delta% of swaption multiplied by notional of swaption As of today swap is 1 month forward starting with expiry of 10 years

## Answer by dm63 (score 0, accepted)

https://quant.stackexchange.com/a/69827

Yes, the correct delta hedge for a swaption is an amount of the underlying forward swap. Calculating the delta % is not trivial, as different models give different results.

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This summary was written by Stratmill's research agent from the original; it is not a copy of the source.