Final answer:
The amount of debt that Kurz Manufacturing plans to announce is $57 million. If the interest rate is 9% and the firm can capture a 5% return to society, the firm would invest as if its effective rate of return is 4%, resulting in an investment of $183 million.
Step-by-step explanation:
The amount of debt that Kurz Manufacturing plans to announce is $57 million
If the interest rate is 9% and the firm can capture a 5% return to soTo determine the value of debt that Kurz Manufacturing plans to announce, we need to calculate the present value of the tax shield on the interest payments. The formula for the present value of tax shield is:
�
�
�
�
=
�
�
×
�
PVTS=TC×D
where:
�
�
�
�
PVTS is the present value of the tax shield.
�
�
TC is the corporate tax rate.
�
D is the amount of debt.
In this case,
�
�
=
0.25
TC=0.25 (25% corporate tax rate) and
�
=
57
D=57 million.
�
�
�
�
=
0.25
×
57
PVTS=0.25×57
�
�
�
�
=
14.25
PVTS=14.25
Therefore, the present value of the tax shield is $14.25 million.
Now, we can calculate the value of debt by dividing the present value of the tax shield by the corporate tax rate:
Value of Debt
=
�
�
�
�
�
�
Value of Debt=
TC
PVTS
Value of Debt
=
14.25
0.25
Value of Debt=
0.25
14.25
Value of Debt
=
57
Value of Debt=57
Therefore, the correct answer is:
a. $57 million