Below I am trying to show the relationship between Merton PD and the BSM.
Merton PD = N[ -[ln(V/K)+(μ-0.5σ²)T]/σT ]
The formula inside the bracket (let’s name it D2 since it) is very similar to the formula for d2 in the BSM for pricing call option:
d2 = ln(S/X)+(r-0.5σ²)T]/σT
So we have...
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