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Replicating Range Accrual Notes and FX TARFs with Options

Article Quant Q&A · Author: darvin
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Summary

The document asks how to approximate two path-dependent products with vanilla options: a range accrual note and a foreign-exchange target accrual redemption forward (TARF). It mentions a generic description of range accruals as a sequence of daily options, then asks how those options represent the payoff. For a TARF, it considers buying calls and selling leveraged puts at each fixing, while setting aside the profit cap condition.

The text frames these as open replication questions and supplies no derivation, payoff specification, numerical example, or pricing evidence. The proposed TARF legs therefore remain an unverified approximation, and ignoring the cap omits a defining feature of the product. Any actual replication would need to account for fixing dates, barriers or accrual conditions, leverage, and the cap; the document does not explain how to handle those details.

Key ideas

  • Range accrual replication can be viewed through a sequence of options associated with daily observations.
  • The document asks how daily options combine to reproduce a range accrual payoff.
  • It proposes calls and leveraged puts at TARF fixing dates as a possible approximation.
  • Ignoring a TARF profit cap leaves an important path-dependent condition unmodeled.

Tags

OptionsForexDerivatives pricingVolatility
Full text
# Static/Dynamic Replication of Range Accrual and TARF?


# Static/Dynamic Replication of Range Accrual and TARF?












I am trying to understand how one can replicate (approximately, if not entirely) the pay off for a Range accrual note and FX TARF? There is generic literature, which refers Range Accrual as a series of sold Daily options but I am not able to figure out how?

Likewise, for a TARF - how would one go about replicating the pay off using the vanilla European options? I understand the structure knocks off once profit cap is accrued but can we say a series of buy calls on each fixing date and sold leverage puts on each fixing date would be good approximation to replicate TARF (ignoring the profit cap condition).

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