
Explanation:
The correct answer is D.
Expected loss can be calculated using the following formula:
Where:
N = Cumulative normal distribution
F = face value of zero-coupon bond
V = value of the firm
T = time to maturity
σ = volatility of the firm's value
Thus,
= \`$1.98`45 \text{ million} - \`$1.62`41 \text{ million}
= \`$0.36`04 \text{ million}
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Q.3194 A firm has a value of $16,000,000. The firm has issued a zero-coupon bond with a face value of $18,000,000 and at an interest yield of 7%. The bond will mature in 7 years. The volatility of the firm’s value is 17% and the expected return on the firm is 11%. Using the Merton model, what is the loss given default if PD is 11.025%?
A
-$0.09 million
B
$0.83 million
C
$0.5 million
D
$0.36 million
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