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?. H? A tE. ta . L-1 Normal 1 No Spac... . Heading 1 Heading 2 Title Subtitle Subtle Em... Emphasis aBbCcDd 1 Heading 2 Paragraph Golden State Bakers, Inc. (GSB) has an opportunity to invest in a new bread-making machine. GSB Styles needs more productive capacity, so the new machine will not replace an existing machine. The new machine is priced at $260,000 and will require modifications costing S15,000. It has an expected usefal life of 10 years, will be depreciated using the MACRS method over its S-year class Iife, and has an expected salvage value of S12,500 at the end of Year 10. (See Table 10A.2 for MACRS recovery allowance percentages.) The machine will require a $22,500 investment in net working capital. It is expected to generate additional sales revenues of $125,000 per year, but its use also will increase annual cash operating expenses by $55,000. GSB's required rate of return is 10 percent, and its marginal tax rate is 40 percent. The machine's book value at the end of Year 10 will be S0, so GSB will have to pay taxes on the $12,500 salvage value. a. What is the NPV of this expansion project? Should GSB purchase the new machine? b. Suppose GSB's required rate of return is 12 percent rather than 10 percent. Should the new machine be purchased in this case? Should GSB purchase the new machine if it is expected to be used for only five years and then sold for $31,250? (Note that the model is set up to handle a five-year life; you need enter only the new life and salvage value) c.Explanation / Answer
Year Cash Flow PV Factor @ 10% Presev Value 0 -$2,97,500 1.000 -$2,97,500 1 $61,250 0.909 $55,682 2 $60,150 0.826 $49,711 3 $56,520 0.751 $42,464 4 $53,616 0.683 $36,620 5 $51,295 0.621 $31,850 6 $49,436 0.564 $27,905 7 $49,436 0.513 $25,368 8 $49,436 0.467 $23,062 9 $49,436 0.424 $20,966 10 $79,425 0.386 $30,622 NPV $46,751 Year Sales Salvage Value Operatinf Expenses Depreciation Profit Tax @ 40% Net Profit Release of working capital Cash Inflow 1 $1,25,000 $0 $55,000 $48,125 $21,875 $8,750 $13,125 $0 $61,250 2 $1,25,000 $0 $55,000 $45,375 $24,625 $9,850 $14,775 $0 $60,150 3 $1,25,000 $0 $55,000 $36,300 $33,700 $13,480 $20,220 $0 $56,520 4 $1,25,000 $0 $55,000 $29,040 $40,960 $16,384 $24,576 $0 $53,616 5 $1,25,000 $0 $55,000 $23,238 $46,763 $18,705 $28,058 $0 $51,295 6 $1,25,000 $0 $55,000 $18,590 $51,410 $20,564 $30,846 $0 $49,436 7 $1,25,000 $0 $55,000 $18,590 $51,410 $20,564 $30,846 $0 $49,436 8 $1,25,000 $0 $55,000 $18,590 $51,410 $20,564 $30,846 $0 $49,436 9 $1,25,000 $0 $55,000 $18,590 $51,410 $20,564 $30,846 $0 $49,436 10 $1,25,000 $12,500 $55,000 $18,563 $63,938 $25,575 $38,363 $22,500 $79,425 a NPV is $46,751 hence GSB should purchase the machine. Year Cash Flow PV Factor @ 12% Presev Value 0 -$2,97,500 1.000 -$2,97,500 1 $61,250 0.893 $54,688 2 $60,150 0.797 $47,951 3 $56,520 0.712 $40,230 4 $53,616 0.636 $34,074 5 $51,295 0.567 $29,106 6 $49,436 0.507 $25,046 7 $49,436 0.452 $22,362 8 $49,436 0.404 $19,966 9 $49,436 0.361 $17,827 10 $79,425 0.322 $25,573 NPV $19,323 b Since NPV is positive GSB should purchase the machine. Year Cash Flow PV Factor @ 10% Presev Value 0 -$2,97,500 1.000 -$2,97,500 1 $80,500 0.909 $73,182 2 $70,600 0.826 $58,347 3 $59,160 0.751 $44,448 4 $54,870 0.683 $37,477 5 $96,120 0.621 $59,683 NPV -$24,363 Year Sales Salvage Value Operatinf Expenses Depreciation Profit Tax @ 40% Net Profit Release of working capital Cash Inflow 1 $1,25,000 $0 $55,000 $96,250 -$26,250 -$10,500 -$15,750 $0 $80,500 2 $1,25,000 $0 $55,000 $71,500 -$1,500 -$600 -$900 $0 $70,600 3 $1,25,000 $0 $55,000 $42,900 $27,100 $10,840 $16,260 $0 $59,160 4 $1,25,000 $0 $55,000 $32,175 $37,825 $15,130 $22,695 $0 $54,870 5 $1,25,000 $31,250 $55,000 $32,175 $69,075 $27,630 $41,445 $22,500 $96,120 c Since NPV is negative GSB should not purchase the machine.
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