hard · Private Credit & Debt

A firm is modeled using the Merton structural framework with the following parameters: Asset Value (V_0) = 200 million, Debt Face Value (D) = 120 million, Asset Volatility (σ_V) = 25%, Risk-free rate (r) = 4%, and Maturity (T) = 5 years.

If d_1 = 1.15 and d_2 = 0.59, what is the risk-neutral probability of default?

  1. 27.8%
  2. 12.5%
  3. 60.0%
  4. 72.2%

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