Answer: 8%

The Merton model is used to estimate the volatility of a firm's equity based on its value, the value of its debt, and the time to maturity of the debt. In this case, the firm has no dividends, so the model simplifies to Equation (1): E = V*N(d1) - D*N(d2), where E is the value of equity, V is the firm value, D is the debt value, N() is the cumulative distribution function of the standard normal distribution, and d1 and d2 are calculated using the parameters of the model. The volatility (σ) of the firm's value is derived from the relationship between d1 and d2 as shown in Equation (3): d2 = (d1 - σ*sqrt(T - t))/σ. Rearranging this equation to solve for σ gives σ = (d1 - d2) / sqrt(T - t). Given the values from the file content: - d1 = 3.217790 - d2 = 3.038905 - T - t = 5 years (time to maturity of the debt) We can calculate the volatility as follows: σ = (3.217790 - 3.038905) / sqrt(5) σ = 0.178885 / 2.236068 σ ≈ 0.079999 Converting this to a percentage, we get: σ ≈ 8.0% Therefore, the correct answer is B. 8%. The other options (A, C, and D) are incorrect as they do not align with the calculated volatility using the Merton model and the given parameters.

Author: LeetQuiz Editorial Team