14-23).
a). DCF Method:
kE = [{D0 x (1 + g)} / P0] + g
= [{$0.50 x 1.06} / $79] + 0.06 = 0.0067 + 0.06 = 0.0667, or 6.67%
b). SML Method:
kE = rF + beta[E(rM) - rF]
= 6.2% + 1.2[11% - 6.2%] = 6.2% + 5.76% = 11.96%
14-8).
a). Total Book Value of Debt = Book Value of First Issue + Book Value of Second Issue
= $55 million + $45 million = $100 million, or $100,000,000
b). Total Market Value of Debt = Market Value of First Issue + Market Value of Second Issue
= [109% x $55 million] + [77% x $45 million]
= $59.95 million + $34.65 million = $94.60 million, or $94,600,000
c). To find the kD of the first issue, we need to put the following values in the financial calculator:
INPUT | 21*2=42 | -1,090 | (5%/2)*1,000=25 | 1,000 | |
TVM | N | I/Y | PV | PMT | FV |
OUTPUT | 2.17 |
So, kD of the first issue = 2 x r = 2 x 2.17% = 4.34%
To find the kD of the second issue, we need to put the following values in the financial calculator:
INPUT | 7*2=14 | -770 | 0 | 1,000 | |
TVM | N | I/Y | PV | PMT | FV |
OUTPUT | 1.88 |
So, kD of the second issue = 2 x r = 2 x 1.88% = 3.77%
kD = [w(First issue) x kD(First issue)] + [w(Second issue) x kD(Second issue)]
= [(59.95/94.60) x 4.34%] + [(34.65/94.60) x 3.77%] = 2.75% + 1.38% = 4.13%
After-tax kD = kD x (1 - t) = 4.13% x (1 - 0.23) = 3.18%
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