Peter's Audio has a yield to maturity on its debt of 7.8 percent, a cost of equity of 12.4 percent, and a cost of preferred stock of 8 percent. The firm has 105,000 shares of common stock outstanding at a market price of $22 a share. There are 25,000 shares of preferred stock outstanding at a market price of $45 a share. The bond issue has a total face value of $1.5 million and sells at 98 percent of face value. If the tax rate is 34 percent, what is the weighted average cost of capital?

the weighted average cost of capital is 9.22 %.

Explanation:

Weighted average cost of capital is the weighted return required by all providers of permanent sources of finance to the Company.

WACC = ke × (e/v) + kp × (p/v) + kd × (d/v)

where,

ke = cost of equity

    = 12.40 %

e/v = weight of equity

     = ($22 × 105,000) ÷ ($22 × 105,000 + $45 × 25,000 + $1,500,000 × 98%)

     = 0.4709

kp = cost of preference stock

    = 8.00 %

p /v = weight of preference stock

      = ($45 × 25,000) ÷ ($22 × 105,000 + $45 × 25,000 + $1,500,000 × 98%)

      = 0.2294

kd = cost of debt

    = Interest × ( 1 - tax rate)

    = 7.80 % × (1 - 0.34)

    = 5.148%

d/v = weight of debt

     = ($1,500,000 × 98%) ÷ ($22 × 105,000 + $45 × 25,000 + $1,500,000 × 98%)

     = 0.2997

Therefore,

WACC = 12.40 % × 0.4709 + 8.00 % × 0.2294 + 5.148% × 0.2997

           = 9.22 %