Cost planning assignment 6
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Q 4: If a project costs $100,000 and is expected to return $25,000 annually, how long does it take to recover the initial investment? What would be the discounted payback period at i=15%?
A: Conventional payback period: $100000/$25000 = 4 years
Discounted payback = 6 + [(10667.99203/25000) – 1] =6.57 years Q 5: Refer to Problem 5.4
, and answer the following questions:
a. How long does it take to recover the investment?
b. If the firm’s interest rate is 15% after taxes, what would be the discounted payback period
for this project?
Conventional payback period = 100000/25000 = 4 years
Discounted payback = 6 + [(10667.99203/25000 – 1]
= 6.57 years
Q 7: Consider the investment projects in Table P5.7
, all of which have a four-year investment
life.
CSM724-701 Assignment 3
a. What is the payback period of each project?
b. What is the discounted payback period at an interest rate of 15% for each project?
A: a. Payback period is when Net Cash flow becomes positive,
Payback period of A = 3+(4-3)(2500/6200) = 3.4 years
Payback period of B = 1 + (1900/2800) = 1.68 years
Payback period at C = 3 + (1000/4500) = 3.22 years
Payback period at D = 2 + (1400/2300) = 2.61 years
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CSM724-701 Assignment 3
b. Discounted Payback period of A = 3 + (2500/3545.16) = 3.7 years
Discounted Payback period of B = 1+ (2108.69/2117.08) = 1.99 years
Discounted Payback period of C = 3 + (2087.02/2573.1) = 3.81 years
Discounted payback period of D = 3 +(466.79/1372.32) = 3.34 years
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CSM724-701 Assignment 3
Q 10: Your firm is considering purchasing an old office building with an estimated remaining
service life of 25 years. Recently, the tenants signed a long-term lease, which leads you to
believe that the current rental income of $250,000 per year will remain constant for the first
five years. Then the rental income will increase by 10% for every five-year interval over the
remaining life of the asset. That is, the annual rental income would be $275,000 for years 6
through 10, $302,500 for years 11 through 15, $332,750 for years 16 through 20, and $366,025
for years 21 through 25. You estimate that operating expenses, including income taxes, will be
$85,000 for the first year and that they will increase by $5,000 each year thereafter. You also
estimate that razing the building and selling the lot on which it stands will realize a net amount
of $50,000 at the end of the 25-year period. If you had the opportunity to invest your money
elsewhere and thereby earn interest at the rate of 12% per annum, what would be the
maximum amount you would be willing to pay for the building and lot at the present time?
A: Given: Estimated remaining service life = 25 years, current rental income = $250000 per year,
O&M costs = $85000 for the first year increasing by $5000 thereafter, salvage value = $50000 and
MARR = 12%. Let A
0
be the maximum investment required to break even.
PW (12%) = -A
0
+ [$250000(F/A,12%,25) + 25000(F/A,12%,20) + 27500(F/A,12%,15) + 30250(F/A,12%,10) + 33275(F/A,12%,5) + 50000(P/F,12%,25) – 85000(P/A,12%,25) – 5000(P/G,12%,25) = 0
Solving for A
0
= yields
A
0 = $1,241,461
Q 11: Consider the following set of investment projects, all of which have a three-year
investment life:
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of 13
CSM724-701 Assignment 3
a. Compute the net present worth of each project at i=10%.
b. Plot the present worth as a function of the interest rate (from 0% to 30%) for Project B
.
a. PW (10%) A
= -1200 + 3000(P/F,10%,3)
= -1200 + 3000(.7513)
= -1200 + 2253.9
= 1053.9
PW (10%) B
= -1800 + 600(P/F,10%,1) + 900(P/F,10%,2) + 1700(P/F,10%,3)
=-1800 + 600(.9091) + 900(.8264) + 1700(.7513)
= -1800 + 545.46 + 743.76 + 1277.21
= 766.43
PW (10%) C
= -1000 -1200(P/F,10%,1) + 900(P/F,10%,2) + 3500(P/F,10%,3)
= -1000 – 1200(.9091) + 900(.8264) + 3500(.7513)
= -1000 – 1090.92 + 743.76 + 2629.55
= 1282.39
PW (10%) D
= -6500 + 2500(P/F,10%,1) + 1900(P/F,10%,2) + 2800(P/F,10%,3)
= -6500 + 2500(.9091) + 1900(.8264) + 2800(.7513)
= -6500 + 2272.75 + 1570.16 + 2103.64
= -553.45 Q.13 You are considering the purchase of a parking deck close to your office building. The
parking deck is a 15-year-old structure with an estimated remaining service life of 25 years.
The tenants have recently signed long-term leases, which leads you to believe that the current
rental income of $250,000 per year will remain constant for the first five years. Then the rental
income will increase by 10% for every five-year interval over the remaining asset life. Thus,
the annual rental income would be $275,000 for years 6 through 10, $302,500 for years 11
through 15, $332,750 for years 16 through 20, and $366,025 for years 21 through 25. You
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Q4: Consider the following two mutually exclusive projects, you require a 15 percent return on
your investment:
Year
Cash Flow (A)
Cash Flow (B)
-18,000
10,000
-170,000
10,000
25,000
25,000
380,000
1
6,000
10,000
3
4
8,000
a) If you apply the payback criterion, which investment will you choose? Why?
b) If you apply the discounted payback criterion, which investment will you choose? Why?
c) If you apply the NPV criterion, which investment will you choose? Why?
d) If you apply the IRR criterion, which investment will you choose? Why?
e) If you apply the profitability index criterion, which investment will you choose? Why?
f) Based on your answers in (a) through (e), which project will you finally choose? Why?
g) What is the relationship between IRR and NPV? Are there any situations in which you
might prefer one method over the other? Explain
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Select one:
6
а. 4 years
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c. 8 years
d. 6 years
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Answer the following:
1 What is the payback period on each of the above projects?
2 Given that you wish to use the payback rule with a cutoff period of two years, which projects would you accept? Why?
3 If you use a cutoff period of three years, which projects would you accept? Why?
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b) A factory increase its production by 712% and produced 1290 tonnes. How many tonnes did she produce before?
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A)
Consider the following two mutually exclusive projects:
Cash flow (A)
-RM300,000
20,000
50,000
50,000
390,000
i)
ii)
Year
0
1
2
3
4
Cash flow (B)
-RM40,000
19,000
12,000
18,000
10,500
If you apply the payback criterion, which investment will you choose if you
set the maximum payback period of 3 years?
If you apply the internal rate of return (IRR) criterion, which investment will
you choose, if you require a 15% return?
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4.
If the terminal balance of a 5-year project at 10% s0 then which one below is true?
A. The IRR of the project is less than 10%
B. The future worth of the project is greater than 0
C. Discounted payback perlod is 5 years
OD. The present worth of the project is less than 0
5 In an incremental IRR analysis, which analysis period should be used to compare 2 mutually altemative projects with 3 and
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O A. B years
O B. 12 years
OC. 4 years
D. 3 years
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The graph displays the project's NPV profile
NPV
1
0
-1
0.1
0.2
NPV Profile
0.3
0.4
Interest Rate
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Select one:
O a. The NPV is negative
O b. OMR 0.00
O c. OMR 9.34
O d. OMR84.75
O e. OMR49.34
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Cash Flow
- 10000
1
5000
5000
3
5000
4
5000
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O A. $2,565
O B. $4,275
O C. $2,992
O D. $30,000
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Year
Cash Flow
- 10000
1
4000
4000
3
4000
4
4000
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O A. 3.75
О В. 2.5
О С. 3
O D. 2
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Year
Cash Flows
0
$ 9,800
1
−5,300
2
−4,000
3
−3,100
4
−1,700
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b. If the appropriate discount rate is 15 percent, should you accept this offer?
c. If the appropriate discount rate is 21 percent, should you accept this offer?
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LO 3
Year
Cash Flow
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1
74,000
87,000
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PROJECT A
PROJECT B
0
-$48,000
-$126,900
1
$18,400
$69.700
2
$31,300
$80,900
3
$11,700
$0
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Hh1.
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a.$33,520
b $56,860
c. $62,540
d. $75,000
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2 70,000 11,000
3 70,000 17,000
4 430,000 11,000
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a. If you apply the discounted payback criterion, which investment will you choose?
Why?
b. If you apply the NPV criterion, which investment will you choose? Why?
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a. 8
O b. 5
О с. 7
d. 6
е. 9
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