On January 1, you win $50,000,000 in the state lottery. The $50,000,000 prize will be paid in equal installments of $6,250,000 over eight years. The payments will be made on December 31 of each year, beginning on December 31 of this year. If the current interest rate is 5%, determine the present value of your winnings. Use the present value tables in Exhibit 7. Round to the nearest whole dollar
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On January 1, you win $50,000,000 in the state lottery. The $50,000,000 prize will be paid in equal installments of $6,250,000 over eight years. The payments will be made on December 31 of each year, beginning on December 31 of this year. If the current interest rate is 5%, determine the present value of your winnings. Use the present value tables in Exhibit 7. Round to the nearest whole dollar.
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- Exhibit A.9 Present Value of an Annuity of $1 Year 1/2% 1% 2% 4% 5% 6% 8% 10% 12% 14% 15% 16% 18% 20% 22% 24% 25% 30% 35% 40% 1 0.995 0.990 0.980 0.962 0.952 0.943 0.926 0.909 0.893 0.877 0.870 0.862 0.847 0.833 0.820 0.806 0.800 0.769 0.741 0.714 2 1.985 1.970 1.942 1.886 1.859 1.833 1.783 1.736 1.690 1.647 1.626 1.605 1.566 1.528 1.492 1.457 1.440 1.361 1.289 1.224 3 2.970 2.941 2.884 2.775 2.723 2.673 2.577 2.487 2.402 2.322 2.283 2.246 2.174 2.106 2.042 1.981 1.952 1.816 1.696 1.589 4 3.950 3.902 3.808 3.630 3.546 3.465 3.312 3.170 3.037 2.914 2.855 2.798 2.690 2.589 2.494 2.404 2.362 2.166 1.997 1.849 5 4.926 4.853 4.713 4.452 4.329 4.212 3.993 3.791 3.605 3.433 3.352 3.274 3.127 2.991 2.864 2.745 2.689 2.436 2.220 2.035 6 5.896 5.795 5.601 5.242 5.076 4.917 4.623 4.355 4.111 3.889 3.784 3.685 3.498 3.326 3.167 3.020 2.951 2.643 2.385 2.168 7 6.862 6.728 6.472 6.002 5.786 5.582 5.206 4.868 4.564 4.288 4.160 4.039 3.812 3.605 3.416 3.242 3.161 2.802 2.508 2.263…Tait is entering high school and is determined to save money for college. Tait feels he can save $2,500 each year for the next four years from his part-time job. If Tait is able to invest at 6%, how much will he have when he starts college? (Click the icon to view Present Value of $1 table.) E (Click the icon to view Present Value of Ordinary Annuity of $1 table.) (Click the icon to view Future Value of $1 table.) E (Click the icon to view Future Value of Ordinary Annuity of $1 table.) - X Reference (Round your answer to the nearest dollar.) Reference When Tait starts college he will have Present Value of $1 Periods Period 1 Period 2 Period 3 Period 4 Period 5 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 16% 18% 20% Future Value of $1 0.990 0.980 0.971 0.962 0.952 0.943 0.980 0.961 0.943 0.925 0.907 0.971 0.942 0.915 0.889 0.864 0.840 0.961 0.924 0.888 0.855 0.823 0.792 0.951 0.906 0.863 0.822 0.784 0.747 0.917 0.909 0.893 | 0.877 0.870 0.862 0.847 0.833 0.826 0.797 0.769 0.756 0.743…TABLE 13.2 Present value of an annuity of $1 ½% 6% 7% 1% 0.9901 1.9704 2% 0.9804 3% 0.9709 4% 0.9615 0.9950 1.9851 1.9416 1.9135 1.8861 5% 0.9524 1.8594 2.7232 3.5459 4.3295 2.9702 2.9410 2.8839 2.7751 2.8286 3.7171 3.9505 3.9020 3.6299 4.9259 4.4518 3.8077 4.8534 4.7134 4.5797 5.7955 5.6014 6.7282 6.4720 5.8964 5.2421 6.8621 5.4172 6.2303 7.0197 6.0021 7.8230 7.6517 7.3255 8.7791 8.5660 7.7861 8.1622 8.9826 5.0757 5.7864 6.7327 6.4632 7.4353 7.1078 8.1109 7.7217 8.3064 8.8632 9.7304 9.4713 8.5302 10.6770 10.3676 9.7868 9.2526 8.7605 8% 0.9434 0.9346 0.9259 1.8334 1.8080 1.7833 2.6730 2.6243 2.5771 3.4651 3.3872 3.3121 4.2124 4.1002 3.9927 4.9173 4.7665 4.6229 5.5824 5.3893 5.2064 6.2098 5.9713 5.7466 6.8017 6.5152 6.2469 7.3601 7.0236 6.7101 7.8869 7.4987 7.1390 11.2551 10.5753 8.3838 7.9427 7.5361 12.1337 9.9856 8.8527 8.3576 7.9038 13.4887 13.0037 12.1062 11.2961 10.5631 9.8986 8.2442 14.4166 13.8650 12.8492 11.9379 11.1184 10.3796 9.7122 9.1079 8.5595 15.3399 14.7179 13.5777…
- MY NOTES ASK YOUR TEACHER Solve by using tables Table 12-1 and Table 12-2. Paul and Donna Kelsch are planning a Mediterranean cruise in 3 years and will need $6,500 for the trip. They decide to set up a "sinking fund" savings account for the vacation. They intend to make regular payments at the end of each 3 month period into the account that pays 6% interest compounded quarterly. What periodic sinking fund payment (in $) will allow them to achieve their vacation goal? (Round your answer to the nearest cent.) %24TABLE 9C.2 Present Value of Annuity of $1, p = [1-1/(1+]/i 3.25% 3.5% 1 2 3 4 5 6 7 6.5982 6.5346 8 7.4859 7.4051 7.4051 7.3255 7.2472 9 8.3605 8.2605 8.1622 8.0657 9.2222 9.1012 8.9826 8.8662 10 11 12 13 14 15 Periods 1.5% 1.75% 2% 2.25% 2.5% 2.75% 3% 0.9852 0.9828 0.9804 0.9780 0.9756 0.9732 0.9709 0.9685 0.9662 1.9559 1.9487 1.9416 1.9345 1.9274 1.9204 1.9135 1.9066 1.8997 2.9122 2.8980 2.8839 2.8699 2.8560 2.8423 2.8286 2.8151 2.8016 3.8544 3.8309 3.8077 3.7847 3.7620 3.7394 3.7171 3.6950 3.6731 4.7826 4.7479 4.7135 4.6795 4.6458 4.6126 4.5797 4.5472 4.5151 5.6972 5.6490 5.6014 5.5545 5.5081 5.4624 5.4172 5.3726 5.3286 6.4720 6.4102 6.3494 6.2894 6.2303 6.1720 6.1145 7.1701 7.0943 7.0197 6.9462 6.8740 7.9709 7.8777 7.7861 7.6961 7.6077 8.7521 8.6401 8.5302 8.4224 8.3166 10.0711 9.9275 9.7868 9.6491 9.5142 9.3821 9.2526 9.1258 9.0016 10.9075 10.7395 10.5753 10.4148 10.2578 10.1042 9.9540 9.8071 9.6633 11.7315 11.5376 11.3484 11.1636 10.9832 10.8070 10.6350 10.4669 10.3027 12.5434…Use the table below to answer the following questions: Period 4 567 8 9 10 11 Present Value of an Annuity of 1 4% Future Value of an Annuity of 1 5% 5% 8% 10% 4% 8% 10% 3.6299 3.5460 3.3121 3.1699 4.2465 4.3101 4.5061 4.6410 4.4518 4.3295 3.9927 3.7908 5.4163 5.5256 5.8666 6.1051 5.2421 5.0757 4.6229 4.3553 6.6330 6.8019 7.3359 7.7156 6.0021 5.7864 5.2064 4.8684 7.8983 8.1420 8.9228 9.4872 5.7466 5.3349 9.2142 9.5491 10.6366 11.4359 7.4353 7.1078 6.2469 5.7590 10.5828 11.0266 12.4876 13.5795 8.1109 7.7217 6.7101 6.1446 12.0061 12.5779 14.4866 15.9374 8.7605 8.3064 7.1390 6.4951 13.4864 14.2068 16.6455 18.5312 6.7327 6.4632 Bobby receives alimony payments every 6 months and the next payment is tomorrow. Median homes go for $950,000 and he wants to save $190,000 in 4 years. How much money should Bobby put away into an investment each time he receives alimony payments if he can get a 8% return a year? $35,593 O $31,624 O $23,131 O $46,262
- The investment committee of Sentry Insurance Co. is evaluating two projects, office expansion and upgrade to computer servers. The projects have different useful lives, but each requires an investment of $490,000. The estimated net cash flows from each project are as follows: Year 1 1 2 3 4 2 Year 5 6 3 7 8 9 10 4 The committee has selected a rate of 12% for purposes of net present value analysis. It also estimates that the residual value at the end of each project's useful life is $0, but at the end of the fourth year, the office expansion's residual value would be $180,000. 5 6 0.943 0.890 0.840 Present Value of $1 at Compound Interest 6% 10% 0.792 0.747 0.705 0.665 0.627 Net Cash Flows Office Expansion $125,000 125,000 125,000 125,000 125,000 125,000 0.592 0.558 0.909 0.826 0.751 0.683 0.621 0.564 0.513 Net Cash Flows Servers 0.467 $165,000 165,000 165,000 165,000 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 15% 0.870 0.756 0.658 0.572 0.497 0.432…The investment committee of Sentry Insurance Co. is evaluating two projects, office expansion and upgrade to computer servers. The projects have different useful lives, but each requires an investment of $490,000. The estimated net cash flows from each project are as follows: Year 1 2 Year 3 4 5 The committee has selected a rate of 12% for purposes of net present value analysis. It also estimates that the residual value at the end of each project's useful life is $0, but at the end of the fourth year, the office expansion's residual value would be $180,000. 6 7 8 9 10 1 1 2 3 2 4 5 6 3 0.943 0.890 0.840 Present Value of $1 at Compound Interest 6% 10% 12% 0.792 0.747 0.705 0.665 0.627 0.592 0.558 Net Cash Flows Office Expansion $125,000 125,000 125,000 125,000 125,000 125,000 0.943 1.833 2.673 0.909 0.826 0.751 0.683 0.621 0.564 0.513 0.467 0.424 0.386 Net Cash Flows Servers $165,000 165,000 165,000 165,000 0.909 1.736 2.487 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 0.361 0.322…Net present value-unequal lives Project 1 requires an original investment of $50,100. The project will yield cash flows of $10,000 per year for 8 years. Project 2 has a computed net present value of $11,600 over a 6-year life. Project 1 could be sold at the end of 6 years for a price of $38,000. Use the Present Value of $1 at Compound Interest and the Present Value of an Annuity of $1 at Compound Interest tables shown below. Present Value of $1 at Compound Interest 6% 10% Year 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 0.943 0.890 0.840 0.792 0.747 7 0.705 0.665 0.627 0.592 0.558 0.943 1.833 2.673 3.465 4.212 4.917 0.909 5.582 0.826 0.751 0.683 0.621 0.564 0.513 0.467 0.424 0.386 0.909 1.736 2.487 3.170 3.791 4.355 12% 4.868 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 0.361 0.322 Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% 0.893 1.690 2.402 3.037 3.605 4.111 15% 4.564 0.870 0.756 0.658 0.572 0.497 0.432 0.376 0.327 0.284 0.247 0.870 1.626 2.283 2.855 3.353…
- City Hospital, a nonprofit organization, estimates that it can save $28,000 a year in cash operating costs for the next 10 years if it buys a special-purpose eye-testing machine at a cost of $110,000. No terminal disposal value is expected. City Hospital's required rate of return is 14%. Assume all cash flows occur at year-end except for initial investment amounts. City Hospital uses straight-line depreciation. Present Value of $1 table Present Value of Annuity of $1 table Future Value of $1 table Future Value of Annuity of $1 table Read the requirements. C Requirement 1. Calculate the following for the special-purpose eye-testing machine: a. Net present value (NPV) (Use factors to three decimal places, X.XXX, and use a minus sign or parentheses for a negative net present value. Enter the net present value of the investment rounded to the nearest whole dollar.) The net present value is Requirements 1. Calculate the following for the special-purpose eye-testing machine: a. Net present…Appendix 9.1 – Period 7 at 10%Present value of $1 received in n periods= 0.5132 Appendix 9.2- Period 4 at 14% Present value of an annuity of $1 per period = 4.8684Present value of an Annuity of $1 in Arrears Periods 4% 6% 8% 10% 12% 14% 1 0.962 0.943 0.926 0.909 0.893 0.877 2 1.886 1.833 1.783 1.736 1.690 1.647 3 2.775 2.673 2.577 2.487 2.402 2.322 4 3.630 3.465 3.312 3.170 3.037 2.914 5 4.452 4.212 3.993 3.791 3.605 3.433 6 5.242 4.917 4.623 4.355 4.111 3.889 7 6.002 5.582 5.206 4.868 4.564 4.288 8 6.733 6.210 5.747 5.335 4.968 4.639 9 7.435 6.802 6.247 5.759 5.328 4.946 10 8.111 7.360 6.710 6.145 5.650 5.216 Lucas Company is considering a project with an initial investment of $530,250 in new equipment that will yield annual net cash flows of $95,000, and will be depreciated at $75,750 per year over its seven year life. What is the internal rate of return? a.6% b.14% c.10% d.12% e.8%