问题如下:
A non-dividend paying firm financed with 100% equity issues a zero-coupon bond with a principal amount of $50 million due in three years. What are the values of the different components of the firm’s capital structure at the maturity date of the bond if the firm value at that time is $40 million?
选项: $50 million in debt and $10 million
in equity.
$10 million in debt and $30 million in equity.
C.$50 million in debt and $40 million in equity.
D.$40 million in debt and $0 in equity.
解释:
D The value of equity is the value of a call on the value of the firm with an exercise price equal to the face value of the zero-coupon bond, ST = Max(VT - F,0) = Max(40 - 50, 0) = 0
(i.e., equity has no value). The value of debt is DT = F - Max(F - VT> 0) or alternatively,
DT= VT- ST. Therefore, the value of debt is 40 - 0 = 40 = $40 million.
(i.e., equity has no value). The value of debt is DT = F - Max(F - VT> 0) or alternatively,
怎么理解啊