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35. Net Present Value Analysis. Wood Products Company would like to purchase a computerized wood lathe...

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

Year

Cash Flows

0

-100000

Initial investment

1

25000

Annual cash receipts less Annual maintenance cost

2

25000

Annual cash receipts less Annual maintenance cost

3

25000

Annual cash receipts less Annual maintenance cost

4

25000

Annual cash receipts less Annual maintenance cost

5

30000

Annual cash receipts less Annual maintenance cost + salvage value

Req b:

Year

cashflows

PVF @ 15%

Present value

0

-100000

1

-100000

1

25000

0.869565

21739.13

2

25000

0.756144

18903.59

3

25000

0.657516

16437.91

4

25000

0.571753

14293.83

5

30000

0.497177

14915.3

Net present value

-13710

Req C: No Company should not purchasse the machine, as the NPV of machine is (13710)

IRR:

NPV at 15% = ($13710)

NPV at 9%

Year

cashflows

PVF @ 9%

Present value

0

-100000

1

-100000

1

25000

0.917431

22935.78

2

25000

0.84168

21042

3

25000

0.772183

19304.59

4

25000

0.708425

17710.63

5

30000

0.649931

19497.94

Net present value

491

IRR = Lower rate + (NOV at lower rate/ Difference in NOV) * Difference in Rates

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.

Solutions

Expert Solution

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

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