Abstract
This paper empirically compares three convertible bond valuation models. We use an innovative approach where all model parameters are estimated by the Marquardt (1963) algorithm using a subsample of convertible bond prices. The model parameters are then used for out-of-sample forecasts of convertible bond prices. The mean absolute deviation is 1.86% for the Ayache-Forsyth-Vetzal (2003) model, 1.94% for the Tsiveriotis-Fernandes (1998) model, and 3.73% for the Brennan-Schwartz (1980) model. For this and other measures of fit, the Ayache-Forsyth-Vetzal (2003) and Tsiveriotis-Fernandes (1998) models outperform the Brennan-Schwartz (1980) model.
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