Abstract

We propose some formulas for the valuation of equity options in the Perpetual-Debt Structural Model (PDSM), where stockholders have a perpetual American option to default. Our formulas are expressed in terms of binary barrier options, using the results obtained by Rubinstein and Reiner (1991). We also use the results obtained by Barone (2013), where it is proved that perpetual American options follow a geometric Brownian motion, under the standard Black-Scholes-Merton assumptions.

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