In: Accounting
35. Net Present Value Analysis. Wood Products Company would like to purchase a computerized wood lathe for $100,000. The machine is expected to have a life of 5 years, and a salvage value of $5,000. Annual maintenance costs will total $20,000. Annual net cash receipts resulting from this machine are predicted to be $45,000. The company’s required rate of return is 15 percent.
Required:
a. Ignoring the time value of money, calculate the net cash inflow or outflow resulting from this investment opportunity.
b. Find the net present value of this investment using the format presented in.
Round to the nearest dollar.
c. Should the company purchase the wood lathe? Explain. Internal Rate of Return Analysis. Wood Products Company would like to purchase a computerized wood lathe for $100,000. The machine is expected to have a life of 5 years, and a salvage value of $5,000. Annual maintenance costs will total $20,000. Annual net cash receipts resulting from this machine are predicted to be $45,000. The company’s required rate of return is 15 percent (this is the same data as the previous exercise).
·Anonymous
719 answers
Req a. Cash inflows and outflows |
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Year |
Cash Flows |
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0 |
-100000 |
Initial investment |
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1 |
25000 |
Annual cash receipts less Annual maintenance cost |
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2 |
25000 |
Annual cash receipts less Annual maintenance cost |
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3 |
25000 |
Annual cash receipts less Annual maintenance cost |
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4 |
25000 |
Annual cash receipts less Annual maintenance cost |
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5 |
30000 |
Annual cash receipts less Annual maintenance cost + salvage value |
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Req b: |
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Year |
cashflows |
PVF @ 15% |
Present value |
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0 |
-100000 |
1 |
-100000 |
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1 |
25000 |
0.869565 |
21739.13 |
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2 |
25000 |
0.756144 |
18903.59 |
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3 |
25000 |
0.657516 |
16437.91 |
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4 |
25000 |
0.571753 |
14293.83 |
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5 |
30000 |
0.497177 |
14915.3 |
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Net present value |
-13710 |
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Req C: No Company should not purchasse the machine, as the NPV of machine is (13710) |
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IRR: |
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NPV at 15% = ($13710) |
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NPV at 9% |
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Year |
cashflows |
PVF @ 9% |
Present value |
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0 |
-100000 |
1 |
-100000 |
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1 |
25000 |
0.917431 |
22935.78 |
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2 |
25000 |
0.84168 |
21042 |
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3 |
25000 |
0.772183 |
19304.59 |
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4 |
25000 |
0.708425 |
17710.63 |
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5 |
30000 |
0.649931 |
19497.94 |
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Net present value |
491 |
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IRR = Lower rate + (NOV at lower rate/ Difference in NOV) * Difference in Rates |
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9% + ( 491 / 14201)*6% = 9.21% |
Required:
a. Use trial and error to approximate the internal rate of return for this investment proposal.
b. Should the company purchase the wood lathe? Explain. Payback Period Calculation. Wood Products Company would like to purchase a computerized wood lathe for $100,000. The machine is expected to have a life of 5 years, and a salvage value of $5,000. Annual maintenance costs will total $20,000. Annual net cash receipts resulting from this machine are predicted to be $45,000. The company’s required rate of return is 15 percent (this is the same data as the previous exercise). Determine the payback period for this investment using the format shown
in . Net Present Value Analysis and Qualitative Factors, Alternative
Format. Pete’s Plumbing Supplies would like to expand into a new warehouse at a cost of $500,000. The warehouse is expected to have a life of 20 years, and a salvage value of $100,000. Annual costs for maintenance, insurance, and other cash expenses will total $60,000. Annual net cash receipts resulting from this expansion are predicted to be $115,000. The company’s required rate of return is 12 percent.
Required:
a. Find the net present value of this investment using the format presented in.
Round to the nearest dollar.
b. Should the company purchase the new warehouse? Explain.
c. Provide one qualitative factor that might cause the company to reach a different conclusion than the one reached in requirement b. Calculating NPV and IRR Using Excel. Pete’s Plumbing Supplies would like to expand into a new warehouse at a cost of $500,000. The warehouse is expected to have a life of 20 years, and a salvage value of $100,000. Annual costs for maintenance, insurance, and other cash expenses will total $60,000. Annual net cash receipts resulting from this expansion are predicted to be $115,000. The company’s required rate of return is 12 percent.
Required:
a. Use Excel to calculate the net present value and internal rate of return in a format similar to the Computer Application spreadsheet shown in the chapter.
b. Should the company purchase the warehouse? Explain. Net Present Value Analysis with Taxes. Quality Chocolate, Inc., would like to purchase a new machine for $200,000. The machine will have a life of 4 years with no salvage value, and is expected to generate annual cash revenue of $90,000. Annual cash expenses, excluding depreciation, will total $10,000. The company uses the straight-line depreciation method, has a tax rate of 30 percent, and requires a 14 percent rate of return.
a. IRR = 9.1844%
Year | Particular | Cash Flow | PV @ 9.1844 % | Dis. PV |
0 | Initial Investment | -1,00,000.00 | 1.00000 | -1,00,000.00 |
1 | Net cash inflow | 25,000.00 | 0.91588 | 22,897.04 |
2 | Net cash inflow | 25,000.00 | 0.83884 | 20,970.97 |
3 | Net cash inflow | 25,000.00 | 0.76828 | 19,206.92 |
4 | Net cash inflow | 25,000.00 | 0.70365 | 17,591.26 |
5 | Net cash inflow | 25,000.00 | 0.64446 | 16,111.51 |
5 | Salvage Value | 5,000.00 | 0.64446 | 3,222.30 |
2. Company should not purchase the machine and IRR 9.1844% is lower than company's require rate of return 15%. Company should purchase the machine only if the IRR is more than or equal to its require rate of return. If company decide to invest below the require rate of return then companies expected revenue goal will not be achived and it will face deficit/loss.
3. Payback Period Calculation
We are calculate simple payback period without cost of capital effect
Year | Particular | Cash Flow | Payback |
0 | Initial Investment | -1,00,000.00 | |
1 | Net cash inflow | 25,000.00 | -75,000.00 |
2 | Net cash inflow | 25,000.00 | -50,000.00 |
3 | Net cash inflow | 25,000.00 | -25,000.00 |
4 | Net cash inflow | 25,000.00 | - |
5 | Net cash inflow | 25,000.00 | 25,000.00 |
5 | Salvage Value | 5,000.00 | 30,000.00 |
Pay back period is end of 4th year
4. Net Present Value Analysis @ 12 %
Year | Particular | Cash Flow | PV @ 12% | Dis. PV |
0 | Initial Investment | -5,00,000.00 | 1.00000 | -5,00,000.00 |
1 | Net cash inflow | 55,000.00 | 0.89286 | 49,107.14 |
2 | Net cash inflow | 55,000.00 | 0.79719 | 43,845.66 |
3 | Net cash inflow | 55,000.00 | 0.71178 | 39,147.91 |
4 | Net cash inflow | 55,000.00 | 0.63552 | 34,953.49 |
5 | Net cash inflow | 55,000.00 | 0.56743 | 31,208.48 |
6 | Net cash inflow | 55,000.00 | 0.50663 | 27,864.71 |
7 | Net cash inflow | 55,000.00 | 0.45235 | 24,879.21 |
8 | Net cash inflow | 55,000.00 | 0.40388 | 22,213.58 |
9 | Net cash inflow | 55,000.00 | 0.36061 | 19,833.55 |
10 | Net cash inflow | 55,000.00 | 0.32197 | 17,708.53 |
11 | Net cash inflow | 55,000.00 | 0.28748 | 15,811.19 |
12 | Net cash inflow | 55,000.00 | 0.25668 | 14,117.13 |
13 | Net cash inflow | 55,000.00 | 0.22917 | 12,604.58 |
14 | Net cash inflow | 55,000.00 | 0.20462 | 11,254.09 |
15 | Net cash inflow | 55,000.00 | 0.18270 | 10,048.29 |
16 | Net cash inflow | 55,000.00 | 0.16312 | 8,971.69 |
17 | Net cash inflow | 55,000.00 | 0.14564 | 8,010.44 |
18 | Net cash inflow | 55,000.00 | 0.13004 | 7,152.18 |
19 | Net cash inflow | 55,000.00 | 0.11611 | 6,385.87 |
20 | Net cash inflow | 55,000.00 | 0.10367 | 5,701.67 |
20 | Salvage Value | 1,00,000.00 | 0.10367 | 10,366.68 |
NET PRESENT VALUE | -78,813.92 |
5. Quality Chocolate @ 14% with 30% tax
Year | Particular | Cash Flow | Tax @ 30% | Net Cash Flow | PV @ 14% | Dis. PV |
0 | Initial Investment | -2,00,000.00 | - | -2,00,000.00 | 1.00000 | -2,00,000.00 |
1 | Net cash inflow | 80,000.00 | 24,000.00 | 56,000.00 | 0.87719 | 49,122.81 |
2 | Net cash inflow | 80,000.00 | 24,000.00 | 56,000.00 | 0.76947 | 43,090.18 |
3 | Net cash inflow | 80,000.00 | 24,000.00 | 56,000.00 | 0.67497 | 37,798.40 |
4 | Net cash inflow | 80,000.00 | 24,000.00 | 56,000.00 | 0.59208 | 33,156.50 |
NET PRESENT VALUE | -36,832.11 |