J. Doe must choose between two different models. The study period cosidered is 6 year. Model 1 has life of your years with cost of $15,000 and maintenance costs of $1,100 per year in years 2,3, and 4 (no maintenace cost in year 1). The salvage value for this model can estimated using the declining – balance depreciation method (d=25). Model 2 has a life of three years with a first cost of $17,500 and maintenance cost of $850 per year. Its salvage value can be estimated u sing the straight line depreciation method knowing the salvage value after one year is $15, 250. Consider MARR of 12% What is the salvage value of the model 2 at year 3? (a) $15250 (b) $13000 (c) $8500 (d) $10750 Please determine the total AW for the model 2(including maintenance and capital cost). Use PW =- $13, 000 for model 2 for capita costs and for the study period. (a) - $3162 (b) - $3781 (c) - $4012 (d) - $4724 What is the present worth of the capital cost for the model 2 for the study period? (a) - $9845 (b) – $12054 (c) - $16859 (d) - $25724

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Please show all your steps and label the formulas used if any. Thank you. 

J. Doe must choose between two different models. The study period
cosidered is 6 year. Model 1 has life of your years with cost of
$15,000 and maintenance costs of $1,100 per year in years 2,3,
and 4 (no maintenace cost in year 1). The salvage value for this model can
estimated using the declining – balance depreciation method (d=25).
Model 2 has a life of three years with a first cost of $17,500 and
maintenance cost of $850 per year. Its salvage value can be estimated using
the straight line depreciation method knowing the salvage value after one
year is $15,250. Consider MARR of 12%
What is the salvage value of the model 2 at year 3?
(a) $15250
(b) $13000
(c) $8500
(d) $10750
Please determine the total AW for the model 2 (including maintenance and capital
cost). Use PW =– $13, 000 for model 2 for capita costs and for the study period.
(a) - $3162
(b) - $3781
(c) - $4012
(d) - $4724
What is the present worth of the capital cost for the model 2 for the study period?
(a) - $9845
(b) - $12054
(c) - $16859
(d) - $25724
Transcribed Image Text:J. Doe must choose between two different models. The study period cosidered is 6 year. Model 1 has life of your years with cost of $15,000 and maintenance costs of $1,100 per year in years 2,3, and 4 (no maintenace cost in year 1). The salvage value for this model can estimated using the declining – balance depreciation method (d=25). Model 2 has a life of three years with a first cost of $17,500 and maintenance cost of $850 per year. Its salvage value can be estimated using the straight line depreciation method knowing the salvage value after one year is $15,250. Consider MARR of 12% What is the salvage value of the model 2 at year 3? (a) $15250 (b) $13000 (c) $8500 (d) $10750 Please determine the total AW for the model 2 (including maintenance and capital cost). Use PW =– $13, 000 for model 2 for capita costs and for the study period. (a) - $3162 (b) - $3781 (c) - $4012 (d) - $4724 What is the present worth of the capital cost for the model 2 for the study period? (a) - $9845 (b) - $12054 (c) - $16859 (d) - $25724
List of Equations:
M
i̟
1+
M
i=|1+
СК
-1
i-
-1
(1+i)* –1
N
i
-
(A/F, i, N) =
(F/A, i, N) =
(1+i)* – 1
(1+i)* – 1
i(1+i)*
i(1+i)*
(P/A, i, N) :
(A/P, i,N) =
_(1+i)" – 1
-
(1 +i)™ – iN – 1
(1+i)" – iN –1
-
-
-
(P/G,i, N):
(A/G,i, N) =
%3D
N
(1+i)
i[(1 +i)^ – 1]
1-(1+ g) (1+ i)*
N
(P/A,g, i, N)=
if itg
i -g
N
(P/A,g i, N)=
(1+i)
if i=g
А
PW — СЕ
CR(i) — (Р — S)(А/Р, і, N) + iS
Bn = A(P/A,i,N-n)
In = (Bn-1)*i= A(P/A,i,N-n+1)*i
PPn = A(P/F,i,N-n+1)
P-S
Ds/(n) =
Р-S
BVs/(n)=P – n
N
BV 45(n) = P(1–d)"
Da, (n) = dP(1– d)
n-1
for n>1
CA, = rd{1-4)a-
CCA1 = P(d/2)
ССА
(1-d)"-2
for n>2
G=t * (Udisposal – S)
G=t-(Udisposal – P) – tcG+(S – P)
-
d
i'= i- f)
(1+f)
i =i' +f+i'*f
n-1
U
n
2
MARRA = MARRR +f+ MARRR f
*
Transcribed Image Text:List of Equations: M i̟ 1+ M i=|1+ СК -1 i- -1 (1+i)* –1 N i - (A/F, i, N) = (F/A, i, N) = (1+i)* – 1 (1+i)* – 1 i(1+i)* i(1+i)* (P/A, i, N) : (A/P, i,N) = _(1+i)" – 1 - (1 +i)™ – iN – 1 (1+i)" – iN –1 - - - (P/G,i, N): (A/G,i, N) = %3D N (1+i) i[(1 +i)^ – 1] 1-(1+ g) (1+ i)* N (P/A,g, i, N)= if itg i -g N (P/A,g i, N)= (1+i) if i=g А PW — СЕ CR(i) — (Р — S)(А/Р, і, N) + iS Bn = A(P/A,i,N-n) In = (Bn-1)*i= A(P/A,i,N-n+1)*i PPn = A(P/F,i,N-n+1) P-S Ds/(n) = Р-S BVs/(n)=P – n N BV 45(n) = P(1–d)" Da, (n) = dP(1– d) n-1 for n>1 CA, = rd{1-4)a- CCA1 = P(d/2) ССА (1-d)"-2 for n>2 G=t * (Udisposal – S) G=t-(Udisposal – P) – tcG+(S – P) - d i'= i- f) (1+f) i =i' +f+i'*f n-1 U n 2 MARRA = MARRR +f+ MARRR f *
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