Turnbull Co. is considering a project that requires an initial investment of $1,708,000. The firm will raise the $1,708,000 in capital by issuing $750,000 of debt at a before-tax cost of 10.2%, $78,000 of preferred stock at a cost of 11.4% amd $880,000 of equity at a cost of 14.3%. The firm faces a tax rate of 40%. What will be the WACC for this project?

11.25%

Explanation:

Tunbull Co. are planning to start a project that requires an initial investment of $1,708,000

The firm is able to raise $1,708,000 in capital by issuing an amount of $750,000 in debt

Before-tax cost is 10.2%

Preferred stock is $78,000 at 11.4%

The equity is $880,000 at a cost of 14.3%

Tax rate is 40%

The first step is to calculate the weight of preferred stock, weight of debt, weight of equity and after-tax cost of debt.

(a)Weight of preferred stock

= $78,000/$1,708,000

= 0.0457

(b)Weight of debt

= $750,000/$1,708,000

= 0.04391

(c) weight of equity

= $880,000/$1,708,000

= 0.5152

(d) After-tax cost of debt

= 10.2% × (1-25/100)

= 10.2% × ( 1-0.25)

= 10.2%×0.75

= 7.64

Therefore, the wacc can be calculated as follows

Wacc= (weight of debt×after-tax cost)+(weight of preferred stock×cost of preferred stock)+(Weight of equity×cost of equity)

= (0.4391×0.0765)+(0.0457×0.1140)+(0.5152×0.1430)

= 0.03359+0.0052+0.07367

= 0.1125×100

= 11.25%

Hence the wacc for this project is 11.25%

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