Question
7. Rancho, Inc. has the opportunity to invest in one of two mutually exclusive pieces of equipment (Big and Small). The cost of each investment
7. Rancho, Inc. has the opportunity to invest in one of two mutually exclusive pieces of equipment (Big and Small). The cost of each investment and its projected cash inflows are as follows:
Big Equipment Small Equipment
01/01/14Cash outflow | $40,000 |
| 01/01/14Cash outflow | $20,000 |
12/31/14Cash inflow | $13,000 |
| 12/31/14Cash inflow | 10,000 |
12/31/15Cash inflow | $13,000 |
| 12/31/15Cash inflow | 9,000 |
12/31/16Cash inflow | $13,000 |
| 12/31/16Cash inflow | 7,000 |
12/31/17Cash inflow | $13,000 |
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|
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The firms cost of capital is 6%. Time value of money factors for 6% are as follows:
Present Value of 1 | Factor |
| Present Value of Annuity | Factor |
n = 1 | .94340 |
| n = 1 | .94340 |
n = 2 | .89000 |
| n = 2 | 1.8339 |
n = 3 | .83962 |
| n = 3 | 2.67301 |
n = 4 | .79209 |
| n = 4 | 3.46511 |
Required:
a. Compute the net present value for both Big and Small.
b. Which project should Rancho invest in if it bases its decision on net present values?
c. Compute the profitability index for both Big and Small.
d. Which project should Rancho invest in if it bases its decision on the profitability indexes?
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