In: Finance
1. The Short-Line Railroad is considering a $200,000
investment in either of two companies. The cash flows are as
follows:
Year | Electric Co. | Water Works | ||||
1 | $ | 100,000 | $ | 50,000 | ||
2 | 50,000 | 50,000 | ||||
3 | 50,000 | 100,000 | ||||
4 – 10 | 25,000 | 25,000 | ||||
a. Compute the payback period for both companies.
(Round your answers to 1 decimal place.)
b. Which of the investments is superior from the
information provided?
Electric Co. | |
Water Works |
2. Aerospace Dynamics will invest $198,000 in a project that will produce the following cash flows. The cost of capital is 9 percent. (Note that the fourth year’s cash flow is negative.) Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Year | Cash Flow | |||
1 | $ | 48,000 | ||
2 | 60,000 | |||
3 | 54,000 | |||
4 | (51,000 | ) | ||
5 | 155,000 | |||
a. What is the net present value of the
project? (Negative amount should be indicated by a minus
sign. Do not round intermediate calculations and round your answer
to 2 decimal places.)
b. Should the project be undertaken?
Yes | |
No |
3. The Suboptimal Glass Company uses a process of
capital rationing in its decision making. The firm’s cost of
capital is 10 percent. It will only invest $86,000 this year. It
has determined the internal rate of return for each of the
following projects.
Project | Project Size | Internal Rate of Return |
||||
A | $ | 11,500 | 18 | % | ||
B | 31,500 | 19 | ||||
C | 26,500 | 16 | ||||
D | 11,500 | 13 | ||||
E | 31,500 | 14 | ||||
F | 21,500 | 12 | ||||
G | 16,500 | 21 | ||||
a. Pick out the projects that the firm should
accept. (You may select more than one answer. Single click
the box with the question mark to produce a check mark for a
correct answer and double click the box with the question mark to
empty the box for a wrong answer.)
Project E | |
Project D | |
Project A | |
Project B | |
Project G | |
Project F | |
Project C |
b. If Projects B and G are mutually exclusive, which projects would you accept in spending the $86,000? (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer.)
Project E | |
Project B | |
Project A | |
Project D | |
Project G | |
Project F | |
Project C |
Answer 1-a | |||||||||||
Payback period of Electric Co. = 3 years | |||||||||||
Payback period of Water Works = 3 years | |||||||||||
Answer 1-b | |||||||||||
As both the investments have a payback period of 3 years , hence no investment is superior to each other.Both are equal. | |||||||||||
Answer 2-a | |||||||||||
Calculation of net present value of project | |||||||||||
Year | Cash flow | Discount factor @ 9% | Present Value | ||||||||
0 | -$198,000.00 | 1 | -$198,000.00 | ||||||||
1 | $48,000.00 | 0.917431 | $44,036.70 | ||||||||
2 | $60,000.00 | 0.84168 | $50,500.80 | ||||||||
3 | $54,000.00 | 0.772183 | $41,697.91 | ||||||||
4 | -$51,000.00 | 0.708425 | -$36,129.69 | ||||||||
5 | $155,000.00 | 0.649931 | $100,739.36 | ||||||||
Net Present value of project | $2,845.08 | ||||||||||
Answer 2-b | |||||||||||
Yes , the project should be undertaken as it has positive NPV. | |||||||||||
Answer 3-a | |||||||||||
The firm should select the projects having higher IRR and rank it accordingly. | |||||||||||
The firm should select the following projects in the following order in spending the $86000. | |||||||||||
Project | Project Size | ||||||||||
G | $16,500.00 | ||||||||||
B | $31,500.00 | ||||||||||
A | $11,500.00 | ||||||||||
C | $26,500.00 | ||||||||||
Total | $86,000.00 | ||||||||||
The answer is Project G,B,A and C. | |||||||||||
Answer 3-b | |||||||||||
The firm should select the following projects in the following order if Projects B and G are mutually exclusive. | |||||||||||
Project | Project Size | ||||||||||
G | $16,500.00 | ||||||||||
A | $11,500.00 | ||||||||||
C | $26,500.00 | ||||||||||
E | $31,500.00 | ||||||||||
Total | $86,000.00 | ||||||||||
The answer is Project G,A,C and E. | |||||||||||