27 Pages Posted: 17 Jan 2013 Last revised: 9 Apr 2015
Date Written: April 2015
Contingent convertible bonds are typical hybrid products in that they are exposed to different types of risk: interest rate risk, equity risk and conversion risk. We first develop a general framework for their pricing and hedging that can be specified in different ways. Then we focus on intensity-based and first-passage time models driven by a finite-dimensional Markov process. The two approaches are qualitatively different. But both allow to price contingent convertibles and calculate dynamic hedging strategies with holdings in related instruments such as fixed income products, the issuing company's stock and credit default swaps. As case studies we consider contingent convertibles issued by Lloyds Banking Group in December of 2009 and Rabobank in March of 2010.
Keywords: Contingent convertible bonds, credit default swaps, pricing, calibration, hedging, intensity-based model, first-passage time model
JEL Classification: G12, G13
Suggested Citation: Suggested Citation