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Fi516 Week 2

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Problem 15-9 Present situation (50% debt):
WACC = wd rd(1-T) + wcers = (0.5)(10%)(1-0.15) + (0.5)(14%) = 11.25%. V = = $100 million. 70% debt: WACC = wd rd(1-T) + wcers = (0.7)(12%)(1-0.15) + (0.3)(16%) = 11.94%.V = = $94.255 million. 30% debt: WACC = wd rd(1-T) + wcers = (0.3)(8%)(1-0.15) + (0.7)(13%) = 11.14%. V = = $101.023 million.

Problem 15-10
a. BEAs unlevered beta is bU=b/(1+ (1-T)(D/S))=1.0/(1+(1-0.40)(20/80)) = 0.870.
b. bU (1 + (1-T)(D/S)). At 40% debt: bL = 0.87 (1 + 0.6(40%/60%)) = 1.218. rS = 6 + 1.218(4) = 10.872%
c. WACC = wd rd(1-T) + wcers = (0.4)(9%)(1-0.4) + (0.6)(10.872%) = 8.683%. V = = $103.188 million.

Problem 26-8
a. VU = $500,000/(rsU g) = $500,000/(0.13 - 0.09) = 12,500,000.
b. D = 5, then S = 16 5 = $11.0 million. = 15.7%
c. VL = VU + TD = $12.5 million + (0.40)(5 million) = $14.5 million. S = $14.5- 5 = $9.5 million. rsL = 0.13+(0.13-0.07)(1-.40)(5/9.5) = 14.9%
d. VL is greater under the extension that means MM assumes 0 growth. A positive growth rate gives a larger value to the tax field. The value of the tax field under MM is 2.0 million and is $3.5 million if growth is included. The cost of capital is higher because the relative weight of equity is higher and the relative weight of debt is lower than when growth is ignored.

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