Synthetizing a debt guarantee: Super-replication versus utility approach
This paper compares two strategies for replicating a put option used to synthetize a debt guarantee contract. The first strategy, super-replication, while maintaining the portfolio value greater or equal to a target value, minimizes the transaction cost of replicating a debt insurance put option by using dynamic linear programming. The second strategy replicates this put option by maximizing the guarantor's expected utility. A comparative study shows that both strategies give better results than the Leland (1985) method. If we use a risk-adjusted performance metric, the utility-based method performs best when transaction costs are relatively low. When transaction costs are relatively high, the two strategies yield similar results and still outperform Leland's.
Year of publication: |
2011
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Authors: | Jacques, Sébastien ; Lai, Van Son ; Soumaré, Issouf |
Published in: |
International Review of Financial Analysis. - Elsevier, ISSN 1057-5219. - Vol. 20.2011, 1, p. 27-40
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Publisher: |
Elsevier |
Keywords: | Debt guarantee Synthetic put option Hedging Replication Transaction costs |
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