Question

Tropical Fruit Extracts expects its earnings before interest and taxes to be $218,000 a year forever. Currently, the firm has no debt. The cost of equity is 16.3 percent and the tax rate is 35 percent. The company is in the process of issuing $2 million of bonds at par that carry a 6.5 percent annual coupon. What is the unlevered value of the firm

Answer 1

The unlevered value of the firm is $869325.15

Step-by-step explanation:

For computing the value of unlevered firm, the following formula should be used which is shown below:

Value of levered firm = Earning before interest and taxes × (1 - tax rate) ÷ cost of equity

where,

Earnings before income and taxes are $218,000

Cost of equity is 16.3%

And, the tax rate is 35%

Now put these values on the above formula

So, the value would be equals to

= $218,000 × (1 - 0.35) ÷ 16.3%

= $141,700 ÷ 16.3%

= $869325.15

The other terms like bonds and the annual coupon should not be considered in the computation part because we have to calculate for unlevered firm which only includes equity and the bond is a debt security. Thus, it is irrelevant.

Hence, the unlevered value of the firm is $869325.15