a.
Total capital = Market value of debt + Market value of equity +
Market value of preferred stock
= (169,000 x $1000 * 117%) + (9,800,000 x $46) + (420,000 x
$95)
= $197,730,000 + $450,800,000 + $39,900,000
= $688,430,000
Market value weight of debt = $197,730,000/ $688,430,000 = 0.2872
Market value weight of equity =$ 450,800,000 / $688,430,000 = 0.6548
Market value weight of preferred stock = $39,900,000 / $688,430,000 = 0.05795 or 0.0580
b.
Cost of debt:
Approx YTM = [C + (F-P)/n] / [(F+P)/2]
= [37.5 + (1000 - 1170)/30] / [(1000 + 1170)/2]
= (37.5 - 5.6666 )/ 1085 = 31.8333/ 1085 = 2.94%
Calculate NPV at 2.5%, then at 3%, then interpolate the results
Semi-annual YTM = 2.8789% or 2.88%
YTM = 2.88% x 2 = 5.76%
After tax cost of debt = 5.76% x (1 - 0.40) = 3.456%
Cost of equity:
It is calculated by using CAPM ( Capital Asset Pricing Model)
= Risk free rate + (Beta x Market risk premium)
= 4 + (1.40 x 8.6) = 4 + 12.04
= 16.04%
Cost of preferred stock:
= Dividend per share / Price
= $5 / $95
= 5.26%
Discount rate = (Cost of debt x weight of debt) + (cost of
equity x weight of equity) + (Cost of preferred stock x weight of
preferred stock)
= (3.456 x 0.2872) + (16.04 x 0.6548) x (5.26 x 0.0580)
= 0.9926% + 8.7899% + 0.30508 % = 10.0875 % or 10.09%.
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