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Synthetizing a debt guarantee: Super-replication versus utility approach

Sébastien Jacques, Van Son Lai and Issouf Soumaré

International Review of Financial Analysis, 2011, vol. 20, issue 1, 27-40

Abstract: 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.

Keywords: Debt; guarantee; Synthetic; put; option; Hedging; Replication; Transaction; costs (search for similar items in EconPapers)
Date: 2011
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