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1 2. P
1
Net present value (2,399.00)$
2
Net cash flow 15,000.00$
Explanation:
1
Item Year(s) Cash flow 12 % Factor
Annual cost savings 1 to 10 $ 4,000 5.650 $ 22,600
Initial investment Now $(25,000) 1.000 $ (25,000)
Net present value $ (2,400)
2
Item Cash flow Years
Annual cost savings $ 4,000 10 $ 40,000
Initial investment $(25,000) 1 $ (25,000)
Net cash flow $ 15,000
Exercise 11-1 Net Present Value Method [LO1]
The management of Opry Company, a wholesale distributor of suntan products, is considering the purchase o
machine that would reduce operating costs in its warehouse by $4,000 per year. At the end of the machine’s 1
life, it will have no scrap value. The company’s required rate of return is 12%. (Ignore income taxes.)
Determine the net present value of the investment in the machine.(Negative amoun
indicated by a minus sign. Round discount factor(s) to 3 decimal places, other inter
calculations and final answer to the nearest whole dollar.)
Present Value ofCash Flows
What is the difference between the total, undiscounted cash inflows and cash outfl
entire life of the machine?
Present Value of
Cash Flows
Required:
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a $25,000
-year useful
should be
ediate
ws over the
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2
A B C D
Investment required (85,000)$ (200,000)$ (90,000)$ (170,000)$Present value of cash 119,000$ 250,000$ 135,000$ 221,000$
Net present value 34,000$ 50,000$ 45,000$ 51,000$
Life of the prject 5 years 7 years 6 years 7 years
1
Proposal
Project
Profitability
Index
A 0.40
B 0.25
C 0.50
D 0.30
2
ABCD
DCBACADB
BCAD
Explanation:
1.
Proposal
A $34,000 $ 85,000 0.40B $50,000 $ 200,000 0.25
C $45,000 $ 90,000 0.50
D $51,000 $ 170,000 0.30
2
The ranking is:
Exercise 11-2 Preference Ranking [LO2]
Information on four investment proposals is given below:
Required:
Compute the project profitability index for each investment proposal. (Round your
answers to 2 decimal places.)
Rank the proposals in terms of preference.
Investment Proposal
The project profitability index for each proposal is:
Net Present
Value (a)
Investment
Rquired (b)
Project
Perofitability
Index (a)/b
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Proposal
Project
Profitability
Index
C 0.50
A 0.40
D 0.30
B 0.25
Note that proposals D and B have the highest net present values of the four proposals,
but they rank at the bottom of the list in terms of the project profitability index.
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3 2. P
Year Investment Cash Inflow1 38,000$ 2,000$
2 6,000$ 4,000$
3 8,000$
4 9,000$
5 12,000$
6 10,000$
7 8,000$
8 6,000$
9 5,000$
10 5,000$
1
Payback period 6 years
2
No
Yes
Explanation:
1
Investment
Cash
inflow
Unrecovered
Investment
1 $ 38,000 $ 2,000 $ 36,000
2 $ 6,000 $ 4,000 $ 38,000
3 $ 8,000 $ 30,0004 $ 9,000 $ 21,000
5 $ 12,000 $ 9,000
6 $ 10,000 $ -
7 $ 8,000 $ -
8 $ 6,000 $ -
9 $ 5,000 $ -
10 $ 5,000 $ -
Exercise 11-3 Payback Method [LO3]
The management of Weimar, Inc., a civil engineering design company, is considering an
investment in a high-quality blueprint printer with the following cash flows:
Required:
Would the payback period be affected if the cash inflow in the last year were several times
larger?
Determine the payback period of the investment. (Round your answer to the nearest whole number.)
The payback period is determined as follows:
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2
Because the investment is recovered prior to the last year, the amount of the cash inflow in the
last year has no effect on the payback period.
The investment in the project is fully recovered in the 6th year. To be more exact, the
payback period is approximately 5.9 years (5 years + (9,000 / 10,000)).
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4 2. P
Required:
Simple rate of return 20%
Explanation:
$ 33,000
$ 10,000
$ 8,000
$ 15,000
80,000
5,000
Initial investment 75,000$
$15,000
$75,000
Exercise 11-4 Simple Rate of Return Method [LO4]
The management of Wallingford MicroBrew is considering the purchase of an automated bottling machi
$80,000. The machine would replace an old piece of equipment that costs $33,000 per year to operate. T
machine would cost $10,000 per year to operate. The old machine currently in use could be sold now for
value of $5,000. The new machine would have a useful life of 10 years with no salvage value.
Compute the simple rate of return on the new automated bottling machine. Use straight-line
depreciation method.
= = 20%
The annual incremental net operating income is determined by comparing the operating cost of the old
operating cost of the new machine and the depreciation that would be taken on the new machine:
Operating cost of old machine
Less operating cost of new machine
Less annual depreciation on the new
machine ($80,000 ÷ 10 years)
Annual incremental net operating income
Cost of the new machine
Less scrap value of old machine
Annual incremental net operating income
Initial investmentSimple rate of return =
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ne for
he new
a scrap
achine to the
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5 2. P
250,000$
40,000$
90,000$
27,000$
30,000$
187,000$
63,000$
1-a.
Payback period 5 years
1-b.
Yes No
6 2. P
2-a. Compute the simple rate of return promised by the new ride.
Simple rate of return 14%
2-b.
Yes No
Explanation:
1-a.
Exercise 11-5 Part 1
Required:
Compute the pay back period associated with the new ride.
Net operating income
Exercise 11-5 Payback Period and Simple Rate of Return [LO3, LO4]
[The following information applies to the questions displayed below.]
The Heritage Amusement Park would like to construct a new ride called the Sonic Boom, which the
Ticket revenues
Less operating expenses:
Maintenance
Salaries
Depreciation
Insurance
Total operating expenses
If Heritage Amusement Park requires a simple rate of return of at least 12%, does the Sonic Boom ride
meet this criterion?
Assume that the Heritage Amusement Park will not construct a new ride unless the ride provides a
payback period of six years or less. Does the Sonic Boom ride satisfy this requirement?
Computation of the annual cash inflow associated with the new ride:
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$ 63,000
$ 27,000
$ 90,000
$450,000
$90,000 per
year
1-b.
Explanation:
2-a.
$63,000
$450,000
2-b.
= 5 years
Add: Noncash deduction for
Net operating income
Annual net cash inflow
Yes, the new ride satisfies the criterion. Its 14% return exceeds the Park’s requirement of a
12% return.
The payback computation would be:
Yes, the new ride meets the requirement. The payback period is less than the maximum 6
years required by the Park.
Simple rate of return =
= = 14%
The simple rate of return would be:
Annual incremental net operating income
Initial investment
Payback period =Investment required
Net annual cash inflow
=
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7 2. P
Investment required 15,000$ 15,000$
Annual cash inflows -$
60,000$
Life of the project 10 years 11 years
Required:
a.
Net Present Value
Project A 4,332.00$
Project B (1,380.00)$
b.
Project A
Project B
Explanation:
a.
Project A: Investment required Now (15,000)$ 1.000 (15,000)$
Annual cash inflows 1 to 10 4,000$ 4.833 19,332$
Net present value 4,332$
Project B:
Investment Now (15,000)$ 1.000 (15,000)$
Determine the net present value. (Negative amounts should be indicated by a minus sign.
Round discount factor(s) to 3 decimal places, other intermediate calculations and final
answers to the nearest whole dollar.)
Which investment would you recommend that the company accept?
Exercise 11-6 Comparison of Projects Using Net Present Value [LO1]
Sharp Company has $15,000 to invest. The company is trying to decide between two alternativ
the funds as follows:
Single cash inflow at the end of 10 years
Invest inProject A
Invest inProject B
Sharp Company uses a 16% discount rate. (Ignore income taxes.)
16 %
Factor
Amount of
cash flow
Present
Value ofItem Year(s)
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Cash inflow 10 60,000$ 0.227 13,620$
Net present value (1,380)$
b.
Project A should be selected. Project B does not provide the required 16% return, as shown by
negative net present value.
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uses of
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ts
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8 2. P
A B300,000$ -$
-$ 300,000$
80,000$ 60,000$
20,000$ -$
7 years 7 years
a.
Net Present Value
Project A (6,020.00)$
Project B -$
b.
Project A
Project B
Explanation:
a.
Project A:
Cost of the equipment Now (300,000)$ 1.000 (300,000)$
Annual cash inflows 1 to 7 80,000$ 3.605 288,400$
Salvage value of the eq. 7 20,000$ 0.279 5,580$Net present value 0.279 (6,020)$
Project B:
Working capital Investment Now (300,000)$ 1.000 (300,000)$
Annual Cash inflow 1 to 7 60,000$ 3.605 216,300$
Working capital Release 7 300,000$ 0.219 83,700$
Net present value -$
b.
Life of the project
The working capital needed for project B will be released for investment elsewhere at the end of seven years. Wristo
uses a 20% discount rate. (Ignore income taxes.)
Calculate net present value for each project. (Negative amounts should be indicated by a minus sign. Leave no cells benter "0" wherever required. Round discount factor(s) to 3 decimal places, other intermediate calculations and final a
whole dollar.)
Which investment alternative (if either) would you recommend that the company accept?
Exercise 11-8 Net Present Value Analysis of Two Alternatives [LO1]
Wriston Company has $300,000 to invest. The company is trying to decide between two alternative uses of the funds.
as follows:
Cost of equipment required
Working capital investment required
Annual cash inflows
Salvage value of equipment in seven years
Item Year(s)Amount of
cash flow 20 % Factor
Present Value of
Cash flows
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The $300,000 should be invested in Project B rather than in Project A. Project B has a zero net present
value, which means that it promises exactly a 20% rate of return. Project A is not acceptable at all, since
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Company
lank - be certain toswers to the nearest
The alternatives are
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9 2. P
Required:
a.
Net present value (1,503)$
b.
Yes No
Item Year(s)
Purchase of the stock now $ (18,000) 5.650 $ (18,000)
Annual dividends 1 to 4 $ 720 1.000 $ 2,187
Sale of the stock 4 $ 22,500 0.636 $ 14,310
Net present value $ (1,503)
b.
*900 shares × $0.80 per share per year = $720 per year.
No, Mr. Critchfield did not earn a 12% return on the stock. The negative net present value indicates thatthe rate of return on the investment is less than the discount rate of 12%.
Exercise 11-9 Basic Net Present Value Analysis [LO1]
On January 2, Fred Critchfield paid $18,000 for 900 shares of the common stock
Critchfield received an $0.80 per share dividend on the stock at the end of each ye
four years, he sold the stock for $22,500. Mr. Critchfield has a goal of earning a
his investments. (Ignore income taxes.)
Determine the net present value. (Negative amount should be indicated by a mi
decimal places, other intermediate calculations and final answer to the neare
Did Mr. Critchfield earn a 12% return on the stock?
Present Valueof Cash Flows
Amount Cashflow
12 %Factor
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f Acme Company. Mr.
ar for four years. At the end of
inimum return of 12% on all of
nus sign.Round discount factor(s) to 3
t whole dollar.)