Accounting For Convertible Bonds

Perpetual Convertible Bonds

A firm issues a convertible bond. At each subsequent time, the bondholder must decide whether to continue to hold the bond, thereby collecting coupons, or to convert it to stock. The firm may at any time call the bond. Because calls and conversions often occur far from maturity, it is not unreasonable to model this situation with a perpetual convertible bond, i.e., a convertible coupon-paying b...

The Valuation of Convertible Bonds

Convertible Bonds with Call Notice Periods

In practice, convertible bonds can often be called only if notice is given to the holders. Most methods for valuing convertible bonds assume that the bond is continuously callable. In this paper, we develop an accurate PDE method for valuing convertible bonds with a finite notice period. Example computations are presented which illustrate the effect of varying notice periods. The results are co...

Perpetual convertible bonds in jump-diffusion models

A convertible (callable) bond is a security that the holder can convert into a specified number of underlying shares. In addition, the issuer can recall the bond, paying some compensation, or force the holder to convert it immediately. We give an explicit solution to the corresponding optimal stopping game in the context of a reduced form model driven by a Brownian motion and a compound Poisson...

Valuation and Optimal Strategies of Convertible Bonds

This article presents a contingent claim valuation of a callable convertible bond with the issuer’s credit risk. The optimal call, voluntary conversion, and bankruptcy strategies are jointly determined by shareholders and bondholders to maximize the equity value and the bond value, respectively. This model not only incorporates tax benefits, bankruptcy costs, refunding costs, and a call notice ...