Respuesta :
Answer:
$16,800 ($1,134 tax shield discounted at 6.75% to infinity)
Explanation:
Since debt interest payment is tax deductible, D.L. Tuckers, will enjoy an annual tax shield from the interest payment. This is computed as follows.
Debt Outstanding: $48,000
Interest payment: 6.75% * $48,000 = $3,240
Let's assume the in a given year, the profit of the Company was $x.
The tax payable on the profit (without the shield from debt interest) would be
= $x * 35% = 0.35x
However, due to the tax shield, the taxable profit of the Company will be reduced by the interest payment.
Taxable Profit = $x - $3,240
Tax payable = 35% * (x - 3,240) = 0.35x - 1,134
Thus, as a result of the tax shield from interest payment, the tax payable by the company is reduced by $1,134. This will recur annually since the company intends to keep this level of debt financing for the foreseeable future.
The effective interest payable (after tax) can also be computed using the formula below.
Effective after tax interest = [tex]Debt Interest * (1-Tax Rate)[/tex]
= $3,240 * (1 - 35%)
= $3,240 * 65% = $2,106.
With an effective after tax interest of $2,106, the tax shield is the difference between the actual interest and the effective after tax interest
Tax shield = $3,240 - $2,106 = $1,134
Therefore, the present value of the tax shield is derived by discounting the tax shield with the appropriate discount rate, assumed to be the coupon rate in this case.
PV of Tax shield = [tex]\frac{Tax Shield}{Coupon Rate}[/tex]
= [tex]\frac{1,134}{0.0675}[/tex]
PV of Tax Shield = $16,800.
