
Explanation:
A is correct. Applying the Merton model, first calculate the value of equity (S), expressed as follows:
E = V*N(d₁) − De⁻ʳᵀN(d₂)
where:
Thus,
E = (85,000,000)(0.9495) − (0.9048)(55,000,000)*(0.8983) = 80,707,500 − 44,703,001 = CAD 36,004,499.
Therefore,
Market value of debt = V − E = 85,000,000 − 36,004,499 = CAD 48,995,501
B is incorrect. CAD 49,764,000 is the face value of debt discounted over 2 years.
C is incorrect. CAD 53,699,000 is the result obtained if the discount factor (e⁻ʳᵀ) in the formula for equity value is not applied.
D is incorrect. CAD 54,056,000 is the result obtained if N(d₂) in the formula for equity value is not applied.
Ultimate access to all questions.
What is the correct estimate of the market value of the company’s debt using the Merton model?
A
CAD 48.996 million
B
CAD 49.764 million
C
CAD 53.699 million
D
CAD 54.056 million
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