Answer:
WACC = 15.08%
Explanation:
Some information is missing:
"The first bond issue has a face value of $70 million, a coupon rate of 6 percent, and sells for 97 percent of par. The second issue has a face value of $40 million, a coupon rate of 6.5 percent, and sells for 108 percent of par. The first issue matures in 21 years, the second in 6 years."
In order to calculate WACC we must first determine the YTM and market values of the 2 bonds.
bond 1:
market value = $70,000,000 x 0.97 = $67,900,000
YTM = {4,200,000 + [(70,000,000 - 67,900,000)/21]} / [(70,000,000 + 67,900,000)/2] = 4,300,000 / 68,950,000 = 6.24%
bond 2:
market value = $40,000,000 x 1.08 = $43,200,000
YTM = {2,600,000 + [(40,000,000 - 43,200,000)/6]} / [(40,000,000 + 43,200,000)/2] = 2,066,667 / 41,600,000 = 4.97%
weighted average cost of debt:
total value of debt = $67,900,000 + $43,200,000 = $111,100,000
weighted average cost = [($67,900,000/$111,100,000) x 6.24%] + [($43,200,000/$111,100,000) x 4.97%] = 3.814% + 1.933% = 5.75%
cost of equity (Re):
$68 = ($8 x 1.05) / (Re - 5%)
Re - 5% = $8.40 / $68 = 12.35%
Re = 17.35%
outstanding stock's market value = 7,000,000 x $68 = $476,000,000
WACC = [($476,000,000/$587,100,000) x 17.35%] + [($111,100,000/$587,100,000) x 5.75% x 0.79] = 14.07% + 1.01% = 15.08%
