Pricing convertible bonds and change of probability measure
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The changes of numeraire can be used as a very powerful tool in pricing contingent claims in the context of a complete market. By using the method of numeraire changes to evaluate convertible bonds when the value of firm, and those of zero-coupon bonds follow general adapted stochastic processes in this paper, using It_o theorem and Gisanov theorem. A closed-form solution is derived under the stochastic volatility by using fast Fourier transforms.
Key wordsConvertible bonds European option numeraire changes stochastic volatility model
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