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MUVIN YOUR WESTEN Question 23 The following information pertains to an investment $140,000 $96,000 $32,000 $20,000 12% 8 years Investment Annual revenues Annual variable costs Annual fixed out-of-pocket costs Discount rate Expected life of project Present value of 1 Periods 8% 10% 1 0.962 0.943 0.926 0.909 2 0.925 0.890 0.857 0.826 3 0.889 0.840 0.794 0.751 0.855 0.792 0.735 0.683 0.822 0.747 0.681 0.621 0.790 0.705 0.630 0.564 0.760 0.665 0.583 0.513 0.731 0.627 0.540 0.467 Present value of an Annuity of $1 in Arrears Periods 6% 8% 10% 0.962 0.943 0.926 0.909 1.886 1.833 1.783 1.736 2.775 2.673 2.577 2.487 12% 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 14% 0.877 0.769 0.675 0.592 0.519 0.456 0.400 0.351 ON 12% 0.893 1.690 2.402 14% 0.877 1.647 2.322 WN $140.000 $96,000 $32,000 $20,000 12% 8 years 36 Investment Annual revenues Annual variable costs Annual fixed out-of-pocket costs Discount rate Expected life of project Present value of $1 Periods 4% 6% 896 10% 1 0.962 0.943 0.926 0.909 2 0.925 0.890 0.857 0.826 3 0.889 0.840 0.794 0.751 4 0.855 0.792 0.735 0.683 5 0.822 0.747 0.681 0.621 6 0.790 0.705 0.630 0.564 7 0.760 0.665 0.583 0.513 8 0.731 0.627 0.540 0.467 Present value of an Annuity of $1 in Arrears Periods 4% 6% 8% 1 0.962 0.943 0.926 0.909 2 1.886 1.833 1.783 1.736 3 2.775 2.673 2.577 2.487 4 3.630 3.465 3.312 3.170 5 4.452 4.212 3.993 3.791 6 5.242 4.917 4.623 4.355 7 6.002 5.582 5.206 4.868 8 6.733 6.210 5.747 5.335 12% 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 14% 0.877 0.769 0.675 0.592 0.519 0.456 0.400 0.351 10% 12% 0.893 1.690 2.402 3.037 3.605 4.111 4.564 4.968 14% 0.877 1.647 2.322 2.914 4.433 3.889 4.288 4.639 The present value of the annual cash flow (rounded) is 4.452 0.404 U.400 0.351 10W 0.760 U.665 1.583 U.513 8 0.731 0.627 0.540 0.467 Present value of an Annuity of 51 in Arrears Periods 6% 896 1 0.962 0.943 0.926 0.909 2 1.886 1.833 1.783 1.736 3 2.775 2.673 2.577 2.487 4 3.630 3.455 3.312 3.170 5 4.452 4.212 3.993 3.791 6 5.242 4.917 4.623 4.355 7 6.002 5.582 5.206 4.868 8 6.733 6.210 5.747 5.335 The present value of the annual cash flow trounded) is $204,884. $136,822 O $152,538. 124 0.893 1.690 2.402 3.037 3.605 4.111 4.564 10 0.877 1.647 2.322 2.914 4.433 3.889 4.288 4.639 4.968 $218,592 10 28 11 12 29 13 14 15 16 17 18 32 33 34 19 20 21 22 36 24 25 25 27 Roman Knoze is considering two investments. Each will cost $20,000 initially. Project will return annual cash flows of $10,000 in each of three years. Project 2 will return $5,000 in year 1, $10,000 in year 2. and $15,000 in year 3. Roman requires a minimum rate of return of 10%. Present value of 1 Periods 4% 1 0.962 2 0.925 3 0.889 4 0.855 5 0.822 6 0.790 7 0.760 8 0.731 9 0.703 10 0.676 6% 0.943 0.890 0.840 0.792 0.747 0.705 0.665 0.627 0.592 0.558 84 0.926 0.857 0.794 0.735 0.681 0.630 0.583 0.540 0.500 0.463 10% 0.909 0.826 0.751 0.683 0.621 0.564 0.513 0.467 0.424 0.386 12 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 0.361 0.322 14 0.877 0.769 0.675 0.592 0.519 0.456 0.400 0.351 0.30B 0.270 10% Present value of an Annuity of 51 Periods 6 1 0.962 0.943 2 1.886 1.833 2.775 2.673 4 3.630 3.465 4.452 4.212 6 5.242 4.917 7 6.002 5.582 8 6.733 6.210 9 7.435 6.802 10 8.111 7.360 8 0.926 1.783 2.577 3.312 3.993 4.623 5.206 5.747 6.247 6.710 10% 0.909 1.736 2.487 3.170 3.791 4.355 4.868 5.335 5.759 6.145 12 0.893 1.690 2.402 3.037 3.605 4.111 4.564 4.968 5.328 5.650 0.877 1.647 2.322 2.914 3.433 3.889 4.288 4.639 4.946 5.216 33 34 35 36 20 Present value of an Annuity of 51 Periods 4% 6% 1 0.962 0.943 2 1.886 1.833 3 2.775 2.673 4 3.630 3.465 5 4.452 4.212 6 5.242 4.917 7 6.002 5.582 8 6.733 6.210 9 7.435 6.802 10 8.111 7.360 8% 0.926 1.783 2.577 3.312 3.993 4.623 5.206 5.747 6.247 6.710 10% 0.909 1.736 2.487 3.170 3.791 4.355 4.868 5.335 5.759 6.145 12% 0.893 1.690 2402 3.037 3.605 4.111 4564 4.968 5.328 5.650 14% 0.877 1.647 2.322 2.914 3.433 3.889 4.288 4.639 4.946 5.216 What is the net present value of Project 2? $5,670 $20,000 $2.530 $24,070 $4,070