TABLE 6.4 FACTORS FOR CALCULATING THE PRESENT VALUE OF $1 Discount Rate No. of Periods 2% 4% 6% 8% 10% 12% 14% 16% 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 Co NO 0.942 0.8890 0.8396 0.7938 0.7513 0.7118 0.6750 0.6407 0.6086 0.5787 4 0.924 0.8548 0.7921 0.7350 0.6830 0.6355 0.5921 0.5523 0.5158 0.4823 5 0.906 0.8219 0.7473 0.6806 0.6209 0.5674 0.5194 0.4761 0.4371 0.4019 6 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 8 0.853 0.7307 0.6274 0.5403 0.4665 0.4039 0.3506 0.3050 0.2660 0.2326 9 0.837 0.7026 0.5919 0.5002 0.4241 0.3606 0.3075 0.2630 0.2255 0. 1938 10 0.820 0.6756 0.5584 0.4632 0.3855 0.3220 0.2697 0.2267 0.1911 0. 1615 11 0.804 0.6496 0.5268 0.4289 0.3505 0.2875 0.2366 0.1954 0.1619 0. 1346 12 0.788 0.6246 0.4970 0.3971 0.3186 0.2567 0.2076 0.1685 0.1372 0.1122 13 0.773 0.6006 0.4688 0.3677 0.2897 0.2292 0.1821 0.1452 0.1163 0.0935 14 0.758 0.5775 0.4423 0.3405 0.2633 0.2046 0.1597 0.1252 0.0985 0.0779 15 0.743 0.5553 0.4173 0.3152 0.2394 0.1827 0.1401 0.1079 0.0835 0.0649 16 0.728 0.5339 0.3936 0.2919 0.2176 0.1631 0.1229 0.0930 0.0708 0.0541 17 0.714 0.5134 0.3714 0.2703 0. 1978 0.1456 0. 1078 0.0802 0.0600 0.0451 18 0.700 0.4936 0.3503 0.2502 0.1799 0.1300 0.0946 0.0691 0.0508 0.0376 19 0.686 0.4746 0.3305 0.2317 0.1635 0.1161 0.0829 0.0596 0.0431 0.0313 20 0.673 0.4564 0.3118 0.2145 0.1486 0.1037 0.0728 0.0514 0.0365 0.0261 21 0.660 0.4388 0.2942 0. 1987 0.1351 0.0926 0.0638 0.0443 0.0309 0.0217 22 0.647 0.4220 0.2775 0.1839 0.1228 0.0826 0.0560 0.0382 0.0262 0.0181 23 0.634 0.4057 0.2618 0. 1703 0.1117 0.0738 0.0491 0.0329 0.0222 0.0151 24 0.622 0.3901 0.2470 0.1577 0.1015 0.0659 0.0431 0.0284 0.0188 0.0126 25 0.610 0.3751 0.2330 0.1460 0.0923 0.0588 0.0378 0.0245 0.0160 0.0105 30 0.552 0.3083 0.1741 0.0994 0.0573 0.0334 0.0196 0.0116 0.0070 0.0042 35 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 45 0.410 0.1712 0.0727 0.0313 0.0137 0.0061 0.0027 0.0013 0.0006 0.0003 50 0.372 0.1407 0.0543 0.0213 0.0085 0.0035 0.0014 0.0006 0.0003 0.0001TABLE 6.5 FACTORS FOR CALCULATING THE PRESENT VALUE OF AN ANNUITY OF $1 Discount Rate No. of Periods 2% 4% 6% 8% 10% 12% 14% 16% 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 1.6467 1.6052 1.5656 1.5278 W N - 2.884 2.7751 2.6730 2.5771 2.4869 2.4018 2.3216 2.2459 2.1743 2.1065 4 3.808 3.6299 3.4651 3.3121 3.1699 3.0373 2.9137 2.7982 2.6901 2.5887 5 4.713 4.4518 4.2124 3.9927 3.7908 3.6048 3.4331 3.2743 3.1272 2.9906 6 5.601 5.2421 4.9173 4.6229 4.3553 4.1114 3.8887 3.6847 3.4976 3.3255 7 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 C0 00 8.162 7.4353 6.8017 6.2469 5.7590 5.3282 4.9464 4.6065 4.3030 4.0310 10 8.983 8.1109 7.3601 6.7101 6.1446 5.6502 5.2161 4.8332 4.4941 4.1925 11 9.787 8.7605 7.8869 7.1390 6.4951 5.9377 5.4527 5.0286 4.6560 4.3271 12 10.575 9.3851 8.3838 7.5361 6.8137 6.1944 5.6603 5.1971 4.7932 4.4392 13 11.348 9.9856 8.8527 7.9038 7.1034 6.4235 5.8424 5.3423 4.9095 4.5327 14 12.106 10.5631 9.2950 8.2442 7.3667 6.6282 6.0021 5.4675 5.0081 4.6106 15 12.849 11.1184 9.7122 8.5595 7.6061 6.8109 6.1422 5.5755 5.0916 4.6755 16 13.578 11.6523 10.1059 8.8514 7.8237 6.9740 6.2651 5.6685 5.1624 4.7296 17 14.292 12.1657 10.4773 9.1216 8.0216 7.1196 6.3729 5.7487 5.2223 4.7746 18 14.992 12.6593 10.8276 9.3719 8.2014 7.2497 6.4674 5.8178 5.2732 4.8122 19 15.678 13.1339 11.1581 9.6036 8.3649 7.3658 6.5504 5.8775 5.3162 4.8435 20 16.351 13.5903 11.4699 9.8181 8.5136 7.4694 6.6231 5.9288 5.3527 4.8696 21 17.011 14.0292 11.7641 10.0168 8.6487 7.5620 6.6870 5.9731 5.3837 4.8913 22 17.658 14.4511 12.0416 10.2007 8.7715 7.6446 6.7429 6.0113 5.4099 4.9094 23 18.292 14.8568 12.3034 10.3711 8.8832 7.7184 6.7921 6.0442 5.4321 4.9245 24 18.914 15.2470 12.5504 10.5288 8.9847 7.7843 6.8351 6.0726 5.4509 4.9371 25 19.523 15.6221 12.7834 10.6748 9.0770 7.8431 6.8729 6.0971 5.4669 4.9476 30 22.396 17.2920 13.7648 11.2578 9.4269 8.0552 7.0027 6.1772 5.5168 4.9789 35 24.999 18.6646 14.4982 11.6546 9.6442 8.1755 7.0700 6.2153 5.5386 4.9915 40 27.355 19.7928 15.0463 11.9246 9.7791 8.2438 7.1050 6.2335 5.5482 4.9966 45 29.490 20.7200 15.4558 12.1084 9.8628 8.2825 7.1232 6.2421 5.5523 4.9986 50 31.424 21.4822 15.7619 12.2335 9.9148 8.3045 7.1327 6.2463 5.5541 4.9995Cowboy Recording Studio is considering the investment of $138,600 in a new recording equipment. It is estimated that the new equipment will generate additional cash flow of $20,500 per year for each year of its 7-year life and will have a salvage value of $14,000 at the end of its life. Cowboys's financial managers estimate that the firm's cost of capital is 10%. Use Table 6-4 and Table 6-5. (Use appropriate factor(s) from the tables provided. Round the PV factors to 4 decimals.) Required: a. Calculate the net present value of the investment. b. Calculate the present value ratio of the investment. c. What is the internal rate of return of this investment, relative to the cost of capital? d. Calculate the payback period of the investment. x Answer is complete but not entirely correct. Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D Calculate the net present value of the investment. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations.) Net present value $ (22,704) X Problem 16-33 (Algo) Calculate NPV, present value ratio, and payback LO 7, 9 Cowboy Recording Studio is considering the investment of $138,600 in a new recording equipment. It is estimated that the new equipment will generate additional cash flow of $20,500 per year for each year of its 7-year life and will have a salvage value of $14,000 at the end of its life. Cowboys's financial managers estimate that the firm's cost of capital is 10%. Use Table 6-4 and Table 6-5. (Use appropriate factor(s) from the tables provided. Round the PV factors to 4 decimals.) Required: a. Calculate the net present value of the investment. b. Calculate the present value ratio of the investment. c. What is the internal rate of return of this investment, relative to the cost of capital? d. Calculate the payback period of the investment. x Answer is complete but not entirely correct. Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D Calculate the present value ratio of the investment. (Round your answer to 2 decimal places.) Present value ratio 0.83 X