Numerical Computation of First-crossing Boundary Problem
نویسندگان
چکیده
In this paper, we study the inverse first-crossing problem. This problem originates from the Merton’s structural model [7] for credit risk management, derived as follows. Consider a company whose asset value and debt at time t ≥ 0 are denoted by A(t) and D(t) respectively. Assume the following: (1) D(0) ≤ A(0) and the company is in default at a time t > 0 if A(t) < D(t). (2) {A(t)} is a log-normal process before the first time at which the company defaults.
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