CHOOSE THE CORRECT ANSWER:
1) PVC Corporation is considering an investment proposal in which a technology investment of $10,000 would be required. The investment would provide cash inflows of $2,000 per year for six years. The technology investment will have no salvage value at the end of six years. If the company's discount rate is 10%, the investment's net present value is closest to (Ignore income taxes.): (See the time value of money BELOW THE PAGE.)
A. $1,289
B. $(1,289)
C. $3,066
D. $2,000
2) RST Corporation has provided the following data concerning an investment project that it is considering:
Initial investment $160,000
Annual cash flow $54,000 per year
Salvage value at the end of the project $11,000
Expected life of the project years 4 years
Discount rate 10%
The net present value of the project is closest to: (See the time value of money BELOW THE PAGE)
A. $175
B. ($23,694)
C. $3,662
D. $11,175
3) An increase in the expected salvage value at the end of a capital budgeting project will
A. Increase the cash outflows of the project.
B. Increase the present value of cash inflows of the project
C. Decrease the cash inflows of the project
D. Decrease the net present value of a project
HERE IS THE Time Value of Money Factor for the Present Value of a Sum |
||||||||||||||
PV =FV * TVM Factor |
Present Value of a Sum = FV * 1/ (1 + i) n |
|||||||||||||
2% |
3% |
4% |
5% |
6% |
8% |
10% |
12% |
|||||||
1 |
0.9804 |
0.9709 |
0.9615 |
0.9524 |
0.9434 |
0.9259 |
0.9091 |
0.8929 |
||||||
2 |
0.9612 |
0.9426 |
0.9246 |
0.9070 |
0.8900 |
0.8573 |
0.8264 |
0.7972 |
||||||
3 |
0.9423 |
0.9151 |
0.8890 |
0.8638 |
0.8396 |
0.7938 |
0.7513 |
0.7118 |
||||||
4 |
0.9238 |
0.8885 |
0.8548 |
0.8227 |
0.7921 |
0.7350 |
0.6830 |
0.6355 |
||||||
5 |
0.9057 |
0.8626 |
0.8219 |
0.7835 |
0.7473 |
0.6806 |
0.6209 |
0.5674 |
||||||
6 |
0.8880 |
0.8375 |
0.7903 |
0.7462 |
0.7050 |
0.6302 |
0.5645 |
0.5066 |
||||||
7 |
0.8706 |
0.8131 |
0.7599 |
0.7107 |
0.6651 |
0.5835 |
0.5132 |
0.4523 |
||||||
8 |
0.8535 |
0.7894 |
0.7307 |
0.6768 |
0.6274 |
0.5403 |
0.4665 |
0.4039 |
||||||
9 |
0.8368 |
0.7664 |
0.7026 |
0.6446 |
0.5919 |
0.5002 |
0.4241 |
0.3606 |
||||||
10 |
0.8203 |
0.7441 |
0.6756 |
0.6139 |
0.5584 |
0.4632 |
0.3855 |
0.3220 |
||||||
20 |
0.6730 |
0.5537 |
0.4564 |
0.3769 |
0.3118 |
0.2145 |
0.1486 |
0.1037 |
||||||
25 |
0.6095 |
0.4776 |
0.3751 |
0.2953 |
0.2330 |
0.1460 |
0.0923 |
0.0588 |
||||||
Time Value of Money Factor for the Present Value of an Annuity |
||||||||||||||
PV = Annuity * TVM Factor |
Present Value of an Annuity = X*((1-(1/(1+i)^n))/i) |
|||||||||||||
2% |
3% |
4% |
5% |
6% |
8% |
10% |
12% |
|||||||
1 |
0.9804 |
0.9709 |
0.9615 |
0.9524 |
0.9434 |
0.9259 |
0.9091 |
0.8929 |
||||||
2 |
1.9416 |
1.9135 |
1.8861 |
1.8594 |
1.8334 |
1.7833 |
1.7355 |
1.6901 |
||||||
3 |
2.8839 |
2.8286 |
2.7751 |
2.7232 |
2.6730 |
2.5771 |
2.4869 |
2.4018 |
||||||
4 |
3.8077 |
3.7171 |
3.6299 |
3.5460 |
3.4651 |
3.3121 |
3.1699 |
3.0373 |
||||||
5 |
4.7135 |
4.5797 |
4.4518 |
4.3295 |
4.2124 |
3.9927 |
3.7908 |
3.6048 |
||||||
6 |
5.6014 |
5.4172 |
5.2421 |
5.0757 |
4.9173 |
4.6229 |
4.3553 |
4.1114 |
||||||
7 |
6.4720 |
6.2303 |
6.0021 |
5.7864 |
5.5824 |
5.2064 |
4.8684 |
4.5638 |
||||||
8 |
7.3255 |
7.0197 |
6.7327 |
6.4632 |
6.2098 |
5.7466 |
5.3349 |
4.9676 |
||||||
9 |
8.1622 |
7.7861 |
7.4353 |
7.1078 |
6.8017 |
6.2469 |
5.7590 |
5.3282 |
||||||
10 |
8.9826 |
8.5302 |
8.1109 |
7.7217 |
7.3601 |
6.7101 |
6.1446 |
5.6502 |
||||||
20 |
16.3514 |
14.8775 |
13.5903 |
12.4622 |
11.4699 |
9.8181 |
8.5136 |
7.4694 |
||||||
25 |
19.5235 |
17.4131 |
15.6221 |
14.0939 |
12.7834 |
10.6748 |
9.0770 |
7.8431 |
question1:
B.($1,289).
working:
year | cash flow | discounting factor | discounted cash flow |
0 | (10,000) (outflow) | 1 | (10,000) |
1 | $2000 (inflow) | 4.3553 (from Present value of annuity table 10%, 6 years) | 8,710.60 |
Net present value (negative) | ($1,289) |
question 2:
D.$11,175.
note:
cash flow from salvage value is ignored in the below solution.
year | cash flow | discouting factor | discounted cash flow |
0 | $160,000 (outflow) | 1 | (160,000) |
1 | 54,000 (inflow) | 3.1699 (Present value of annuity for 4 years @10%) | 171,174.60 |
net present value | 11,174.60 |
question 3:
B.Increase the present value of cash inflows of the project.
An increase in the expected salvage value at the end of a capital budgeting project will increase the present value of cash inflows of the project.
(since salvage value is a cash inflow)
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