Question 1. The following two
machines are mutually exclusive and the firm would be required to replace the
same whatever machine it buys. Machine A would be replaced every 4 years,
machine B every 3 years. The cash flows associated with each machine are
tabulated as follows; all numbers are in „Rupee („0,000)‟; the relevant discount rate is 10% for
both machines.
Year
|
M/c A
|
M/c B
|
0
|
(80)
|
(100)
|
1
|
50
|
60
|
2
|
50
|
60
|
3
|
50
|
60
|
4
|
25
|
-
|
(a) Which of the two
machines is the better investment project?
(b) Reassess the
better investible machine, analyzing the question under the assumption that,
whatever machine the company buys has to be reinvested in perpetuity.
(c) Suppose machine
A fits current technology, whereas machine B needs a one-time re-tooling for
the company. These one-off installation costs would be Rs. 100,000 today. What
is the optimal investment decision now?
(d) Suppose the firm
has an old machine in place that would serve for another two years. They can
postpone investing in either machine A or B and keep using this machine. When
should they stop using the old machine? Cash flows for the old machine are:
Year
|
Cash Flow
|
1
|
50
|
2
|
20
|
3
|
0
|
Question 2. (a) A corporation
is considering purchasing a machine that has an expected eight-year life and
will generate for the firm Rs. 110,000 per year in net operating income before
taxes. The machine will be depreciated using the straight-line method to its
anticipated salvage value of Rs. 120,000. The firm has a 34% marginal tax rate
and the required return for this project is 12% p.a. If the machine costs Rs.
600,000, should it be purchased?
(b) Another
machinery salesman comes by the company's office and says that he is willing to
negotiate the purchase price of the machine described in the previous question.
What is the maximum price the firm is willing to pay for the machine? [Hint:
the price of the machine determines the level of depreciation and therefore the
taxes that the firm pays].
Question 3. A company is
trying to determine an optimal replacement policy for a piece of its equipment.
The cost of the machine is Rs. 150,000 and the annual maintenance costs are Rs.
10,000 in the first year, Rs. 20,000 in the second year and Rs. 3,000 in the
third year. Anticipated salvage values are Rs. 60,000, Rs. 30,000 and Rs. 0 at
the end of years 1 through 3, respectively. Assume that the company's revenues
are unaffected by the replacement policy and that the firm has a 34% tax rate;
required return on this project is 12% and uses a straight-line depreciation.
Should the equipment be replaced every year, every second year, or every third
year? Be sure to explicitly consider the depreciation and tax effects.
Question 4. Better Cement
Ltd. is considering an investment opportunity that requires an initial outlay
equal to Rs. 5,750,000. In years 1 and 2 the net cash flows are expected to
equal Rs. 5,000,000. The required rate of return is 25% p.a.
(a) Given that the
BCL's criterion whether to invest or not is the project's internal rate of
return (IRR), should the company‟s managers invest in this project? Is IRR criterion
the correct decision rule in this case? If not, which criterion should have
been used?
(b) After observing
the managers' decision, a shrewd businessman offers the managers of BCL. the
following modified project. The businessman offers that the company will pay
the initial outlay Rs. 5,750,000 only in year 2 and receive the Rs. 5,000,000
in years 0 and 1. As a compensation for receiving this offer, the businessman
proposes that the company pay him Rs. 11,000,000 in year 3. BCL's CFO argues
that according to the IRR criterion the proposal is profitable since the 25%
required rate of return is lower than the new IRR for this investment. Is the
CFO correct in his argument that the required rate of return is lower than the
IRR? Does this decision rule lead to optimal investment by the company?
Question 5. Natural Fashions
Ltd. is looking at setting up a new manufacturing plant to produce apparel made
from man-made fiber. The company bought some land six years ago for Rs.
5,000,000 in anticipation of using it as a warehouse and distribution site, but
the company decided not to build the warehouse at that time. This seemed the
right decision at the time since they were sentenced to six years in prison for
another type of “distribution” in which they were involved. The land was
appraised last week for Rs. 5,500,000. The company wants to build its new
manufacturing plant on this land; The plant will cost Rs. 17 million to build,
and the site requires Rs. 2,500,000 worth of grading before it is suitable for
construction. What is the proper cash flow amount to use as the initial
investment in fixed assets when evaluating this project? Why?
Now if you
aareevaluating this project with the following cash flows (in „000): CF0
|
|||||
(25,000)
|
6,000
|
7,000
|
(4,000)
|
15,000
|
10,000
|
(a) Assume a
required rate of return of 10%. Find the NPV? Also find the Payback?
(b) Should you
calculate the project‟s IRR? Why or why not? Find the MIRR?
Question 6. A project has the
following cash flows: (assume a required rate of return of 10%)
CF0
|
CF1
|
CF2
|
CF3
|
CF4
|
CF5
|
(100,000)
|
40,000
|
40,000
|
60,000
|
(20,000)
|
10,000
|
(a) Can you use IRR
to determine if this is an attractive project? Why or why not?
(b) Calculate the
MIRR for this project.
Question 7. Daily Breaking
News Corporation is evaluating whether to replace a printing press with a newer
model, which, owing to more efficient operation, will reduce operating costs
from Rs. 400,000 to Rs. 320,000 per year. Sales are not expected to change. The
old press cost Rs. 600,000 when purchased five years ago, had an estimated
useful life of 15 years, zero salvage value at the end of its useful life and
is being depreciated straight-line. At present, its market value is estimated
to be Rs. 400,000, if sold outright. The new press costs Rs. 800,000 and would
be depreciated straight-line to zero salvage over a ten-year life. However,
management expects to be able to sell the new press for Rs. 150,000 at the end
of ten years. The corporation has a 40% marginal tax rate and a cost of capital
of 15%. What should management do?
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