NO.PZ2016082405000017
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.
问题如下:
1.期初的时候,全部投了债券,所以期初debt是50, 然后equity 是0对吗?
2.后续的变动,就是高于50的部分变成equity,然后低于50,则剩余的就全部是debt对吗?