Firm XYZ is currently financed entirely with equity that has a total market value of
$900 mn. The firm’s management is considering engaging in a debt-for-equity swap to
add leverage to the firm’s capital structure. Management recognizes two factors that
would affect the value of the firm as leverage is added. First, the addition of permanent
debt in the amount of D would provide a tax shield that has a value of cD,
where for firm XYZ c=0.34, or 34%. The second, and offsetting, factor is
the present value of expected costs of future financial distress, PV[E(CFFD)], which
increases at an accelerating rate with leverage. Management decides that the
relationship of PV[E(CFFD)] to leverage can be approximated with the following
equation: PV[E(CFFD)]= D2, where =0.001. Given these
specifications, find the value of debt, D, that would maximize the value of firm XYZ.
What is the market value of the firm, , if it has this amount of debt?
Shareholders have sued board directors for losses arising from alleged mismanagement.
Over the years 1984-87, a director liability crisis emerged in the U.S. because of