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Answers and solutions to end-of-chapter questions related to capital budgeting decision criteria. It covers topics such as the payback period, net present value, profitability index, internal rate of return, and modified internal rate of return. The document also includes examples and calculations.
Typology: Assignments
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9-1. Capital budgeting decisions involve investments requiring rather large cash outlays
at the beginning of the life of the project and commit the firm to a particular course
of action over a relatively long time horizon. As such, they are costly and difficult
to reverse, both because of: (1) their large cost and (2) the fact that they involve
fixed assets, which cannot be liquidated easily.
9-2. The criticisms of using the payback period as a capital budgeting technique are:
(1) It ignores the timing of the free cash flows that occur during the payback
period.
(2) It ignores all free cash flows occurring after the payback period.
(3) The selection of the maximum acceptable payback period is arbitrary.
The advantages associated with the payback period are:
(1) It deals with cash flows rather than accounting profits, and therefore focuses
on the true timing of the project's benefits and costs.
(2) It is easy to calculate and understand.
(3) It can be used as a rough screening device, eliminating projects whose returns
do not materialize until later years.
These final two advantages are the major reasons why it is used frequently.
9-3. Yes. The payback period eliminates projects whose returns do not materialize until
later years and thus emphasizes the earliest returns, which in a country experiencing
frequent expropriations would certainly have the most amount of uncertainty
surrounding the later returns. In this case, the payback period could be used as a
rough screening device to filter out those riskier projects, which have long lives.
9-4. The three, discounted cash flow capital budgeting criteria are the net present value,
the profitability index, and the internal rate of return. The net present value method
gives an absolute dollar value for a project by taking the present value of the benefits
and subtracting out the present value of the costs. The profitability index compares
these benefits and costs through division and comes up with a measure of the
project's relative value—a benefit/cost ratio. On the other hand, the internal rate of
return tells us the rate of return that the project earns. In the capital budgeting area,
these methods generally give us the same accept-reject decision on projects but many
times rank them differently. As such, they have the same general advantages and
disadvantages, although the calculations associated with the internal rate of return
method can become quite tedious and it assumes cash flows over the life of the life
of the project are reinvested at the IRR. The advantages associated with these
discounted cash flow methods are:
(1) They deal with cash flows rather than accounting profits.
(2) They recognize the time value of money.
(3) They are consistent with the firm's goal of shareholder wealth maximization.
9-5 The advantage of using the MIRR, as opposed to the IRR technique is that the MIRR
technique allows the decision maker to directly input the reinvestment rate
assumption. With the IRR method it is implicitly assumed that the cash flows over
the life of the project are reinvested at the IRR.
Thus, IRR = approximately 30%
(c) $10,000 = t
5
t 1 (1 IRR)
6
( 1 IRR )
$ 5 , 000
Try 11%
Try 12%
Thus, IRR = approximately 11%
9-4A. (a) NPV = $68,
(b) PI = 1.
(c) IRR = about 10% (10.1725%)
(d) Yes, the project should be accepted.
9-5A. (a) Payback Period = $80,000/$20,000 = 4 years
Discounted Payback Period = 5.0 + 4,200/11,280 = 5.37 years.
(b) NPV = $7,
(c) PI = 1.
(d) IRR = about 13% (12.978%)
9-6A. (a) NPV A
(b) PI A
(c) IRR A
Neither project should be accepted.
9-7A. (a) Project A:
Payback Period = 2.5 years
Project A:
Discounted Payback Period = 3.84 years.
Project B:
Payback Period = 2.67 years
Project B:
Discounted Payback Period = 3.35 years.
Project C:
Payback Period = 3.5 years
Project C:
Discounted Payback Period = 4.32 years.
Project Traditional Payback Discounted Payback
A Accept Reject
B Accept Reject
C Reject Reject
9-9A. Project A:
Try 23%