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Lakeside, Inc., is considering replacing old production equipment with state-of-the-art technology that will allow production cost savings of $10,000 per month. The new equipment will have a five-year life and cost $420,000, with an estimated salvage value of $30.000. Lakesides cost of capital is 12%. Table6-4 and Ti in (Use appropriate factor(s) from the tables provided. Round the PV factors to 4 decimals. Calculate the net present value of the new production equipment

TABLE 6.4 FACTORS FOR CALCULATING THE PRESENT VALUE OF $1 Discount Rate No. of Periods 2% 4°10 6% 8% 10% 12% 1 4% 1 6% 18% 20% 0.980 0.9615 0.9434 0.9259 0.9091 0.8929 0.8772 0.8621 0.8475 0.8333 0.961 0.9246 0.8900 0.8573 0.8264 0.7972 0.7695 0.7432 0.7182 0.6944 0.942 0.8890 0.8396 0.7938 0.7513 0.7118 0.6750 0.6407 0.6086 0.5787 0.924 0.8548 0.7921 0.7350 0.6830 0.6355 0.5921 0.906 0.8219 0.7473 0.6806 0.6209 0.5674 0.5194 0.4761 0.888 0.7903 0.7050 0.6302 0.5645 0.5066 0.4556 0.4104 0.3704 0.3349 0.871 0.7599 0.6651 0.5835 0.5132 0.4523 0.3996 0.3538 0.3139 0.2791 0.853 0.7307 0.6274 0.5403 0.4665 0.4039 0.3506 0.3050 0.2660 0.2326 0.837 0.7026 0.5919 0.5002 0.4241 0.3606 0.3075 0.2630 0.2255 0.1938 0.820 0.6756 0.5584 0.4632 0.3855 0.3220 0.2697 0.2267 0.1911 0.1615 0.804 0.6496 0.5268 0.4289 0.3505 0.2875 0.2366 0.1954 0.1619 0.1346 0.788 0.6246 0.4970 0.3971 0.3186 0.2567 0.2076 0.1685 0.1372 0.1122 0.773 0.6006 0.4688 0.3677 0.2897 0.2292 0.1821 0.1452 0.1163 0.0935 0.758 0.5775 0.4423 0.3405 0.2633 0.2046 0.1597 0.1252 0.0985 0.0779 0.743 0.5553 0.4173 0.3152 0.2394 0.1827 0.1401 0.1079 0.0835 0.0649 0.728 0.5339 0.3936 0.2919 0.2176 0.1631 0.1229 0.0930 0.0708 0.0541 0.714 0.5134 0.3714 0.2703 0.1978 0.1456 0.1078 0.0802 0.0600 0.0451 0.700 0.4936 0.3503 0.2502 0.1799 0.1300 0.0946 0.0691 0.0508 0.0376 0.686 0.4746 0.3305 0.2317 0.1635 0.1161 0.0829 0.0596 0.0431 0.0313 0.673 0.4564 0.3118 0.2145 0.1486 0.1037 0.0728 0.0514 0.0365 0.0261 0.660 0.4388 0.2942 0.1987 0.1351 0.0926 0.0638 0.0443 0.0309 0.0217 0.647 0.4220 0.2775 0.1839 0.1228 0.0826 0.0560 0.0382 0.0262 0.018 0.634 0.4057 0.2618 0.1703 0.1117 0.0738 0.0491 0.0329 0.0222 0.015 0.622 0.3901 0.2470 0.1577 0.1015 0.0659 0.0431 0.0284 0.0188 0.0126 0.610 0.3751 0.2330 0.1460 0.0923 0.0588 0.0378 0.0245 0.0160 0.0105 0.552 0.3083 0.1741 0.0994 0.0573 0.0334 0.0196 0.0116 0.0070 0.0042 0.500 0.2534 0.1301 0.0676 0.0356 0.0189 0.0102 0.0055 0.0030 0.0017 0.453 0.2083 0.0972 0.0460 0.0221 0.0107 0.0053 0.0026 0.0013 0.0007 0.410 0.1712 0.0727 0.0313 0.0137 0.0061 0.0027 0.0013 0.0006 0.0003 0.372 0.1407 0.0543 0.0213 0.0085 0.0035 0.0014 0.0006 0.0003 0.0001 3 4 0.5523 0.5158 0.4823 0.4371 0.4019 6 7 8 10 12 13 15 17 18 20 23 24 25 30 35 40 45 50

TABLE 6.5 FACTORS FOR CALCULATING THE PRESENT VALUE OF AN ANNUITY OF $1 Discount Rate No. of Periods 2% 4% BY。 8% 10% 12% 14% 1 6% 18% 20% 0.980 0.9615 0.9434 0.9259 0.9091 0.8929 0.8772 0.8621 0.8475 0.8333 1.942 1.8861 1.8334 1.7833 1.7355 1.6901 16467 6052 5656 5278 2.884 2.7751 2.6730 2.5771 2.4869 2.4018 2.3216 2.2459 2.1743 2.1065 3.808 3.6299 3.4651 3.3121 3.1699 3.0373 2.9137 2.7982 2.6901 2.5887 3.2743 3.1272 2.9906 3 4.713 4.4518 4.2124 3.9927 3.7908 3.6048 3.4331 6 5.601 5.2421 4.9173 4.6229 4.3553 4.1114 3.8887 3.68473.4976 3.3255 6.472 6.0021 5.5824 5.2064 4.8684 4.5638 4.2883 4.0386 3.8115 3.6046 7.325 6.7327 6.2098 5.7466 5.3349 4.9676 4.6389 4.3436 4.0776 3.8372 8.162 7.4353 6.8017 6.2469 5.7590 5.3282 4.9464 4.6065 4.3030 4.0310 8.983 8.1109 7.3601 6.7101 6.1446 5.6502 5.2161 4.8332 4.4941 4.1925 10 9.787 8.7605 7.8869 7.1390 6.4951 5.9377 5.4527 5.0286 4.6560 4.3271 10.575 9.3851 8.3838 7.5361 6.8137 6.1944 5.6603 5.1971 4.7932 4.4392 11.348 9.9856 8.8527 7.9038 7.1034 6.4235 5.8424 5.3423 4.9095 4.5327 12.106 10.5631 9.2950 8.2442 7.3667 6.6282 6.0021 5.4675 5.0081 4.6106 12.849 11.1184 9.7122 8.5595 7.6061 6.8109 6.1422 5.5755 5.0916 4.6755 15 13.578 11.6523 10.1059 8.8514 7.8237 6.9740 6.2651 5.6685 5.1624 4.7296 14.292 12.1657 10.4773 9.1216 8.0216 7.1196 6.3729 5.7487 5.2223 4.7746 14.992 12.6593 10.8276 9.3719 8.2014 7.2497 6.4674 5.8178 5.2732 4.8122 15.678 13.1339 .1581 9.6036 8.3649 7.3658 6.5504 5.8775 5.3162 4.8435 16.351 13.5903 11.4699 9.8181 8.5136 7.4694 6.6231 5.9288 5.3527 4.8696 20 23 24 25 17.011 14.0292 11.7641 10.0168 8.6487 7.5620 6.6870 5.9731 5.3837 4.8913 17.658 14.4511 12.0416 10.2007 8.7715 7.6446 6.7429 6.0113 5.4099 4.9094 18.292 14.8568 12.3034 10.3711 8.8832 7.7184 6.7921 6.0442 5.4321 4.9245 18.914 15.2470 12.5504 10.5288 8.9847 7.7843 6.8351 6.0726 5.4509 4.9371 19.523 15.6221 12.7834 10.6748 9.0770 7.8431 6.8729 6.0971 5.4669 4.9476 30 35 40 45 50 22.396 17.2920 13.7648 11.2578 9.4269 8.0552 7.0027 6.1772 5.5168 4.9789 24.999 18.6646 14.4982 11.6546 9.6442 8.1755 7.0700 6.2153 5.5386 4.9915 27.355 19.7928 15.0463 11.9246 9.7791 8.2438 7.1050 6.2335 5.5482 4.9966 29.490 20.7200 15.4558 12.1084 9.8628 8.2825 7.1232 6.2421 5.5523 4.9986 31.424 21.4822 15.7619 12.2335 9.9148 8.3045 7.1327 6.2463 5.5541 4.9995

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Answer #1

Calculation of Net Present Value of new production equipment is shown as follows:-

Net Present value of new production equipment will be equal to sum of present value of annual cost savings and present value of salvage value minus cost of new production equipment.

Cost of new production equipment = $420,000

Salvage Value of New equipment at the end of five years = $30,000

Relevant present value factor (PVF) for discounting of salvage value = PVF(12%,5 yrs) (From Table 6.4)

= 0.5674

Present Value (PV) of Salvage Value = Salvage Value*Relevant PVF

= $30,000*0.5674 = $17,022

Production Cost Savings per month = $10,000

Annual Production cost savings = $10,000*12 months per year = $120,000

Relevant Present Value Annuity Factor (PVAF) for discounting of annual cost savings = PVAF(12%, 5 yrs)

= 3.6048 (From Table 6.5)

Present Value of Annual cost savings = Annual Cost Savings*PVAF(12%, 5 yrs)

= $120,000*3.6048 = $432,576

Net Present Value = (PV of Salvage Value+PV of Annual Cost Savings) - Cost of New Equipment

= $17,022 + $432,576 - $420,000 = $29,598

Therefore the net present value of the new production equipment is $29,598.

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