Question
16. Below is a table for the present value of $1 at Compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 0.890 0.826
16. Below is a table for the present value of $1 at Compound interest.
Year | 6% | 10% | 12% |
1 | 0.943 | 0.909 | 0.893 |
2 | 0.890 | 0.826 | 0.797 |
3 | 0.840 | 0.751 | 0.712 |
4 | 0.792 | 0.683 | 0.636 |
5 | 0.747 | 0.621 | 0.567 |
Below is a table for the present value of an annuity of $1 at compound interest.
Year | 6% | 10% | 12% |
1 | 0.943 | 0.909 | 0.893 |
2 | 1.833 | 1.736 | 1.690 |
3 | 2.673 | 2.487 | 2.402 |
4 | 3.465 | 3.170 | 3.037 |
5 | 4.212 | 3.791 | 3.605 |
Using the tables above, what would be the present value of $12,499 (rounded to the nearest dollar) to be received 4 years from today, assuming an earnings rate of 10%?
a.$9,899
b.$8,537
c.$12,499
d.$39,622
17. Project A requires an original investment of $49,400. The project will yield cash flows of $13,400 per year for seven years. Project B has a calculated net present value of $2,730 over a four year life. Project A could be sold at the end of four years for a price of $17,700.
Below is a table for the present value of $1 at Compound interest.
Year | 6% | 10% | 12% |
1 | 0.943 | 0.909 | 0.893 |
2 | 0.890 | 0.826 | 0.797 |
3 | 0.840 | 0.751 | 0.712 |
4 | 0.792 | 0.683 | 0.636 |
5 | 0.747 | 0.621 | 0.567 |
Below is a table for the present value of an annuity of $1 at compound interest.
Year | 6% | 10% | 12% |
1 | 0.943 | 0.909 | 0.893 |
2 | 1.833 | 1.736 | 1.690 |
3 | 2.673 | 2.487 | 2.402 |
4 | 3.465 | 3.170 | 3.037 |
5 | 4.212 | 3.791 | 3.605 |
(a) Using the present value tables above, determine the net present value of Project A over a four-year life with salvage value assuming a minimum rate of return of 12%. Round your answer to two decimal places. $
(b) Which project provides the greatest net present value?
20. The management of Arkansas Corporation is considering the purchase of a new machine costing $490,000. The company's desired rate of return is 10%. The present value factors for $1 at compound interest of 10% for 1 through 5 years are 0.909, 0.826, 0.751, 0.683, and 0.621, respectively. In addition to the foregoing information, use the following data in determining the acceptability of this investment:
Year | Income from Operations | Net Cash Flow | ||
1 | $100,000 | $180,000 | ||
2 | 40,000 | 120,000 | ||
3 | 40,000 | 100,000 | ||
4 | 10,000 | 90,000 | ||
5 | 10,000 | 120,000 |
The net present value for this investment is
a.$(16,170)
b.$55,200
c.$(126,800)
d.$36,400
21. The management of Wyoming Corporation is considering the purchase of a new machine costing $375,000. The company's desired rate of return is 6%. The present value factor for an annuity of $1 at interest of 6% for 5 years is 4.212. In addition to the foregoing information, use the following data in determining the acceptability of this investment:
Year | Income from Operations | Net Cash Flow | ||
1 | $18,750 | $93,750 | ||
2 | 18,750 | 93,750 | ||
3 | 18,750 | 93,750 | ||
4 | 18,750 | 93,750 | ||
5 | 18,750 | 93,750 |
The present value index for this investment is
a.1.25
b.1.05
c.0.95
d.1.00
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