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Chapter 7 Niles is making an investment with an expected return of 12 percent
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Chapter 7 Niles is making an investment with an expected return of 12 percent
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July 13, 2022
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Fundamentals of Co
rporate Finance 3
e
Test Bank
53.
Niles is making an
investment with a
n expected return
of 12 percent. I
f the standar
d deviation
of the return
is 4.5 percent, and i
f Niles is inve
sting $100,000,
then what dol
lar amount is Ni
les
90 percent sure
that he will have a
t the end of the
year? (Do not round inte
rmediate
computations).
A)
$100,000.00
B)
$104,597.50
C)
$116,500.00
D)
$119,402.50
Ans:
B
54.
Given the histor
ical inform
ation in the chapte
r, which of the fo
llowing investment classe
s had
the greatest aver
age return?
A)
Intermediate-Ter
m Government Bonds
B)
Long-Term Gover
nment Bonds
C)
Large U.S. Stocks
D)
Small U.S. Stocks
Ans:
D
Fundamentals of Co
rporate Finance 3
e
Test Bank
55.
Given the histor
ical inform
ation in the chapte
r, which of the following
investment cla
sses had
the greatest var
iability in return
s?
A)
Intermediate-Ter
m Government Bonds
B)
Long-Term Gover
nment Bonds
C)
Large U.S. Stocks
D)
Small U.S. Stocks
Ans:
D
56.
The expected retu
rn for
an
asset is 18.7
5 percent. If
the return di
stribution for the
asset is
described as in
the followin
g table, what is
the variance for
the asset’s returns
?
Round
intermediate compu
tations and final an
swer to 6 dec
imal places.
Return
Probability
0.10
0.25
0.20
0.50
0.25
0.25
A)
0.002969
B)
0.000613
C)
0.015195
D)
0.054486
Ans:
A
Fundamentals of Co
rporate Finance 3
e
Test Bank
57.
The expected retu
rn for the asset shown in
the followin
g table is 18.75 pe
rcent. If the re
turn
distribution for th
e asset is desc
ribed as below, w
hat is the standard dev
iation for the as
set’s
returns? Round in
termediate co
mputations and fin
al answer to 6 de
cimal places.
Return
Probability
0.10
0.25
0.20
0.50
0.25
0.25
A)
0.002969
B)
0.000613
C)
0.015195
D)
0.054486
Ans:
D
58.
You have observed
that the average
size of a part
icular gold
fish is 1.5 inches
long. The standard
deviation of the s
ize of the goldfis
h is 0.25 inches.
What is the s
ize of a goldfish
such that 90
percent of the go
ldfish are sma
ller from such size? Assume
a normal distribut
ion for the size
of
goldfish. Round your
final answer to
two decimal pl
aces.
A)
1.01 inches
B)
1.09 inches
C)
1.91 inches
D)
1.99 inches
Ans:
C
Number of standa
rd deviations fro
m mean for 90% observa
tions is 1.645
Fundamentals of Co
rporate Finance 3
e
Test Bank
59.
You know that
the average college
student eats 0.75 pounds o
f food at lunch. If
the standard
deviation is 0.2 pound
s of food, th
en what is the to
tal amount of food
that a cafeteria should
have on hand to b
e 90 percent confident
that it will not
run out of food w
hen feeding 50 co
llege
students?
A)
17.90 pounds
B)
21.05 pounds
C)
53.95 pounds
D)
57.10 pounds
Ans:
C
food required.
60.
If a random variab
le follows a normal d
istribution, wh
at is the probab
ility that the rando
m
variable is larger
than 1.96 standard
deviations larg
er than the m
ean?
A)
1.25%
B)
2.50%
C)
3.75%
D)
5.00%
Ans:
B
Fundamentals of Co
rporate Finance 3
e
Test Bank
AICPA: Measu
rement
61.
If a random variab
le follows a normal d
istribution, w
hat is the probab
ility that the
random
variable is larger
than 1.96 standard
deviations below the m
ean?
A)
95.00%
B)
96.25%
C)
97.50%
D)
98.75%
Ans:
C
62.
Tommie has ma
de an investment
that will gene
rate returns that a
re subject to
the state of the
economy during th
e year. Use the fo
llowing infor
mation to calculate
the standard
deviation of
the return distr
ibution for T
ommie’s investmen
t.
Do no
t round inter
mediate computations.
Round your fina
l answer to four decim
al places.
State
Return
Probability
Weak
0.13
0.30
OK
0.20
0.40
Great
0.25
0.30
A)
0.0453
B)
0.0467
C)
0.0481
D)
0.0495
Ans:
B
Fundamentals of Co
rporate Finance 3
e
Test Bank
63.
Elrond has made an
investmen
t that will gener
ate returns tha
t are subject to
the state of the
economy. Use th
e following informa
tion to calculate t
he variance of the r
eturn distribu
tion for
Elrond’s investme
nt. Do not round i
ntermediate compu
tations. Round your
final answer
to four
decimal places.
State
Return
Probability
Weak
0.10
0.8
OK
0.17
0.1
Great
0.28
0.1
A)
0.0536
B)
0.0543
C)
0.0550
D)
0.0031
Ans:
D
64.
Stock
A
has exhibited a
standard dev
iation in stock re
turns of 0.5, wh
ereas Stock
B
has
exhibited a standa
rd deviation of 0.
6. The correlation
coefficien
t between the stoc
k returns is
0.5. What is the v
ariance of a portfoli
o composed of 70
percent Stock A and 30 pe
rcent Stock
B?
A)
0.1549
B)
0.2179
C)
0.4668
D)
0.5500
Ans:
B
Fundamentals of Co
rporate Finance 3
e
Test Bank
AICPA: Measu
rement
65.
Aquaman Stock ha
s exhibited a stand
ard deviation
in stock re
turns of 0.7, wherea
s Green
Lantern Stock has e
xhibited a standa
r
d deviation o
f 0.8. The corr
elation coefficie
nt between the
stock returns is 0.1
. What is the standar
d deviation of
a portfolio com
posed of 70 p
ercent
Aquaman and 30 pe
rcent Green L
antern? Round the an
swer to five decim
al points.
A)
0.32122
B)
0.54562
C)
0.56676
D)
0.75000
Ans:
C
AICPA: Measu
rement
66.
View Point Industr
ies has forecast
a rate of return
of 20.00% if the
economy boo
ms (25.00%
probability); a ra
te of return
of 15.00% if the
economy is in a growth phase (4
5.00%
probability); a ra
te of return
of 2.50% if the
economy is in decline (20.00% p
r
obability); and a
rate of return of
–
15.00
%
if the econo
my
is
in a depr
ession (10.00% p
r
obability).
What is View
Point’s standard dev
iation of retu
r
ns?
Do not round in
termediate comput
ations. Round your
final answer to tw
o decimal poin
t
s.
A)
17.31%
B)
9.25%
C)
15.00%
D)
10.29%
Ans:
D
Fundamentals of Co
rporate Finance 3
e
Test Bank
AICPA: Measu
rement
67.
Braniff Ground S
ervices stock ha
s a
n expected re
turn of 9 perc
ent and a variance of 0.25
percent. What
is the coeffic
ient of variation fo
r Braniff? Round your fina
l answer to fou
r
decimal places.
A)
0.0278
B)
0.5556
C)
1.8001
D)
36.0002
Ans:
B
Fundamentals of Co
rporate Finance 3
e
Test Bank
68.
Sayers purchased a
stock with a coe
fficient of variation
equal to 0.125. The expect
ed return on
the stock is 20 perc
ent. What is the va
r
iance of the
stock?
A)
0.000625
B)
0.025000
C)
0.625000
D)
0.790500
Ans:
A
69.
You have invest
ed 40 percent of your
portfolio in an investment w
ith an expec
ted return of 12
percent and 60 per
cent of your po
r
tfolio in an inv
estment wi
th an expected r
eturn of 20 percent.
What is the exp
ected return of you
r portfolio?
A)
15.2%
B)
16.0%
C)
16.8%
D)
17.6%
Ans:
C
E(R) = 0.4 × 0.12 + 0.
60 × 0.20 = 0.168 =
1
6.8%
Fundamentals of Co
rporate Finance 3
e
Test Bank
70.
You have invest
ed 20 percent of your
portfolio in Homer, Inc., 40 per
cent in Marg
e Co., and 20
percent in Bart R
esources. What
is the expect
ed return of you
r portfolio if Ho
mer, Marge, an
d
Bart have expe
cted returns of 2 pe
rcent, 18 perce
nt, and 3 percen
t
, respectively?
A)
7.7%
B)
8.2%
C)
8.7%
D)
9.2%
Ans:
B
E(R) = (0.2 × 0.02)
+
(
0.4 × 0.18)
+
(
0.2 × 0.03) = 0.0
82 =
8.2%
71.
You invested $3,0
00 in a portfolio wi
th an expec
ted return of 10 per
cent and $2,0
00 in a
portfolio with an ex
pected return of 16 percent.
What is the expected retur
n of the comb
ined
portfolio?
A)
6.2%
B)
12.4%
C)
13.0%
D)
13.6%
Ans:
B
= 12.4%
Fundamentals of Co
rporate Finance 3
e
Test Bank
72.
Given the return
s for two stocks wi
th the following i
nformation, cal
culate the cov
ariance of the
returns for the two
st
ocks. A
ssume the expec
ted return is 10.8 pe
rcent for Stock
1 and 9.7
percent for Stock 2.
Prob
Stock 1
Stock 2
0.4
0.09
0.11
0.5
0.11
0.08
0.1
0.17
0.13
A)
0.000094
B)
0.000516
C)
0.000321
D)
0.717507
Ans:
A