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Answers to Selected End-of-Chapter Problems
Note: This appendix presents some intermediate steps
and final answers to selected end-of-chapter pro-
blems. Please note that your answer may differ
slightly due to rounding differences. Also, some of
the problems may have more than one correct solu-
tion depending upon the assumptions made in work-
ing the problem. Finally, where the selected problems
involve a verbal discussion as well as numerical cal-
culations, the verbal answer is not provided.
3-2 $1,000,000
3-4 — $20,000,000
3-6 $25,000,000
3-8 a. $33,447
b. 28%
c. 20.27%
3-10 $89,100,000
3-12 a. $50,000
b. $115,000
3-14 a. NOWCoo14 = $44,000; NOWC2915
= $53,725
. $10,675
CS= $50,000; RE = $32,025
|. EVA= $13,027.50
MVA= $17,975
. REzoi4 = $1,374 million
. $1,600 million
$15 million
|. $620 million
. $19,118.75
. $25%
- 18.55%
42 44%
M/B = 4.2667
ROE = 8%
NI = $112,500
Po = $142.50
TIE = 2.25x
ROE = 23.1%
AROE = +7.2%
TIE = 6.0x
Accounts receivable = $405,682
Sales = $450,000; AR = $45,000;
Inv = $90,000; FA = $150,000; CL = $75,000
a. Current ratio = 3.56x;
Debt to total capital = 20.05%;
3-16
osP paogeppans
DSO = 30.3 days; ROA = 6.00%;
ROIC = 7.54%
5-12
5-16
5-18
5-20
5-22
5-24
5-26
5-28
5-30
5-32
5-34
5-36
5-38
b. Firm: ROE = 3.4% x 1.77 x $450/$315
= 8.6%
Industry: ROE = 3.0% x 3 x ROE/ROA
0% x 3 x 12.86%/9.00%
= 12.86%
PV = $1,292.10
N = 11.0lyears
FVAs = $1,725.22; FVAS5 Due = $1,845.99
PMT = $444.89; EAR = 12.6825%
a. $895.42
. $1,552.92
. $279.20
b.
fe
d. $499.99; $867.13
a. 7%
b. 7%
c. 9%
d. 15%
a. $6,374.97
b. $1,105.13
$2,000.00
(1). $7,012.47
d(2). $1,160.38
(3). $2,000.00
PV7% = $1,428.57; PVia% = $714.29
a. Stream A: $1,251.25; Stream B: $1,300.32
b. Stream A and Stream B: $1,600
Contract 2: PV = $10,717,847.14
a. $802.43
b. Pymt 1 : Int = $500; Princ = $302.43;
Pymt 2 : Int = $484.88; Princ = $317.55
c. $984.88
a. $279.20
b. $276.84
c. $443.72
$17,290.89; $19,734.26
Tnom = 7.8771%
a. E= 63.74 yrs.; K = 41.04 yrs.
b. $35,825.33
$496.11
a. PMT = $10,052.87
b. Yr.1: Int/Pymt = 24.87%; Princ/Pymt
= 75.13%;
Yr.2: Int/Pymt = 17.36%; Princ/Pymt
= 82.64%;
Yr.3: Int/Pymt = 9.09%; Princ/Pymt
= 90.91%
a. $5,308.12
b. $4,877.09
$309,015
2
B-2
Appendix B Answers to Selected End-of-Chapter Problems
5-40
6-2
6-4
6-6
6-8
6-10
6-12
6-14
6-16
6-18
7-2
7-4
7-6
7-8
7-10
7-12
7-14
7-16
7-18
8-4
8-6
8-8
8-10
8-12
8-14
8-16
8-18
8-20
9-2
$9,385
2.25%
1.5%
21.8%
8.5%
6.0%
0.35%
a. r in Year 2 = 6%
b. I) = 2%; 1p =5%
14%
a. rp, = 9.20%; rr2 = 8.40%; ry3 = 7.60%;
tr = 7.30%; rps = 7.20%; rio = 6.60%;
Tr9= 6.30%
a. 7.22%
b. $988.46
YTM = 6.62%; YTC = 6.49%; most likely
yield = 6.49%
a. Bond C: $1,012.79; $1,010.02; $1,006.98;
$1,003.65; $1,000.00
Bond Z: $693.04; $759.57; $832.49;
$912.41; $1,000.00
15.03%
a. YTM = 9.69%
b. CY = 8.875%; CGY = 0.816%
a. YTM = 8%; YTC = 6.1%
a. 5 years
b. YTIC = 6.47%
$1,067.95
a. YTM = 8.35%
b. YTC = 8.13%
c. YTC = 8.13%
d. Year 6; YTC = 8.27%
bp = 1.12
tm = 11%; r= 12.2%
a. fy = 14%
b. 6x = 12.20%; CVy = 1.45
b= 1.33
4.2%
a. r= 15.5%
b(). tu = 15%; rj = 16.5%
b(2). tm = 13%; 1; = 14.5%
c(l). rj = 18.1%
c(2). rj = 14.2%
by = 1.16
tp = 11.75%
a. $0.5 million
(1). $75,000
d(2). 15%
a. ra = 11.30%; rg = 11.30%
B. tp avg = 11.30%
c. 6, = 20.8%; 63 = 20.8%; op = 20.1%
d. CVa = CVp = 1.84; CV, = 1.78
By = $6.25
9-4
9-6
9-8
9-10
9-12
9-14
9-16
9-18
9-20
9A-2
10-2
10-4
10-6
10-8
10-10
10-12
10-14
10-16
10-18
10-20
11-2
11-4
11-6
a. End of Year 2
b. $37.80
c. $34.09
Tp = 8.33%
a. $125
b. $83.33
$23.75
a(1). $9.50
a(2). $13.33
a(3). $21.00
a(4). $44.00
b(l). Undefined
b(2). —$48.00, which is nonsense
Po = $19.89
6.25%
a. Po = $54.11; D1 /Po =3.55%; CGY = 6.45%
$35.00
a. Po = $32.14
b. Po = $37.50
c. Po = $50.00
d. Po = $78.28
Tp = 8%
a. tr; = 15%
b. re = 16.11%
a. ts = 16.3%
b. rs = 15.4%
c. rs = 16%
d. t5 avg = 15.9%
ts = 16.51%; WACC = 12.79%
WACC = 11.4%
a. rs = 14.40%
b. WACC = 10.62%
c. Project A
11.94%
g=8%
. Di, = $2.81
. Ts = 15.81%
ta(1 — T) = 7%; tp = 10.20%; 15 = 15.72%
WACC = 13.86%
. Projects 1 and 2 will be accepted
. ta(1— T) = 5.4%; rs = 14.6%
. WACC = 10.92%
gspeogcpace
IRR = 16%
4.34 years
a. 5%: NPVa = $3.52; NPVpg = $2.87
10%: NPV, = $0.58; NPV, = $1.04
15%: NPV = —$1.91; NPVg = —$0.55
b. IRRag = 11.10%; IRRg = 13.18%
c. 5%: Choose A; 10%: Choose B; 15%: Do
not choose either one
a. Without mitigation: NPV = $12.10 million;
IRR = 19.86%;
With mitigation: NPV = $5.70 million;
IRR = 15.24%