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Q-35. In the Merton model for credit risk, a firm's equity is treated as a call option on its assets. Assume the following parameters are given:
Equity value (E) = $50 million
Equity volatility (σₑ) = 40%
Debt face value (D) = $80 million
Risk-free rate (r) = 5%
Time to maturity (T) = 2 years
N(d₁) = 0.7 and N(d₂) = 0.4, where d₁ and d₂ are defined in the Merton framework.
What are the firm's asset value (V) and asset volatility (σᵥ)?
A
V = $100 million, σᵥ = 40%
B
V = $112.8 million, σᵥ = 25.3%
C
V = $122.4 million, σᵥ = 21.4%
D
V = $130 million, σᵥ = 32%