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(asking for req.1A-3) Linda Clark received $236,000 from her mother's estate. She placed the funds into the hands of a broker, who purchased the following
(asking for req.1A-3)
Linda Clark received $236,000 from her mother's estate. She placed the funds into the hands of a broker, who purchased the following securities on Linda's behalf: a. Common stock was purchased at a cost of $100,000. The stock paid no dividends, but it was sold for $171,000 at the end of three years. b. Preferred stock was purchased at its par value of $55,000. The stock paid a 7% dividend (based on par value) each year for three years. At the end of three years, the stock was sold for $40,000. c. Bonds were purchased at a cost of $81,000. The bonds paid annual interest of $4,500. After three years, the bonds were sold for $89,000. The securities were all sold at the end of three years so that Linda would have funds available to open a new business venture. The broker stated that the investments had earned more than a 12% return, and he gave Linda the following computations to support his statement: $ 71,000 Common stock: Gain on sale ($171,000 $100,000) Preferred stock: Dividends paid (7% * $55,000 * 3 years) Loss on sale ($40,000 - $55,000) Bonds: Interest paid ($4,500 * 3 years) Gain on sale ($89,000 - $81,000) Net gain on all investments 11,550 (15,000) 13,500 8,000 $ 89,050 $89,050 + 3 years $236,000 = 12.60% Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using tables. Required: 1-a. Using a 12% discount rate, compute the net present value of each of the three investments. 1-b. On which investment(s) did Linda earn a 12% rate of return? 2. Considering all three investments together, did Linda earn a 12% rate of return? 3. Linda wants to use the $300,000 proceeds ($171,000+ $40,000+ $89,000 = $300,000) from sale of the securities to open a retail store under a 12-year franchise contract. What minimum annual net cash inflow must the store generate for Linda to earn a 11% return over the 12-year period? EXHIBIT 12B-1 Present Value of $1; 1 (1 + r)" Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 25% 1 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800 2 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.694 0.683 0.672 0.661 0.650 0.640 3 0.889 0.864 0.840 0.816 0.794 0.772 0.751 0.731 0.712 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.579 0.564 0.551 0.537 0.524 0.512 4. 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.552 0.534 0.516 0.499 0.482 0.467 0.451 0.437 0.423 0.410 5 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402 0.386 0.370 0.355 0.341 0.328 6 0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.335 0.319 0.303 0.289 0.275 0.262 7 0.760 0.711 0.665 0.623 0.583 0.547 0.513 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.279 0.263 0.249 0.235 0.222 0.210 8 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.233 0.218 0.204 0.191 0.179 0.168 9 0.703 0.645 0.592 0.544 0.500 0.460 0.424 0.391 0.361 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194 0.180 0.167 0.155 0.144 0.134 10 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.162 0.149 0.137 0.126 0.116 0.107 EXHIBIT 12B-2 Present Value of an Annuity of $1 in Arrears; [1 1 (1 + r)" Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 25% 1 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800 2. 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 1.492 1.474 1457 1.440 3 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 2.011 1.981 1.952 4. 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 2.448 2.404 2.362 5 4.452 4.3294212 4.100 3.993 3.890 3.791 3.696 3.605 3.517 3.433 3.352 3.274 3.1993.127 3.058 2.991 2.926 2.864 2.803 2.745 2.689 6 5.242 5.076 4.917 4.767 4.623 4.486 4.355 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 7 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 8 6.733 6.463 6.210 5.971 5.747 5.535 5.335 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329 9 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 10 8.111 7.722 7.360 7024 6.710 6.418 6.145 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 Req 1A Req 1B Req 2 Req3 Using a 12% discount rate, compute the net present value of each of the three investments. (Enter negative amounts with a minus sign. Round computations to the nearest whole dollar.) Net Present Value Common stock Preferred stock Bonds Req 1A Req 1B Reg 2 Req3 On which investment(s) did Linda earn a 12% rate of return? (Select all that apply.) Common Stock Bonds Preferred Stock Req 1A Reg 1B Req 2 Req 3 Considering all three investments together, did Linda earn a 12% rate of return? Yes No Req 1A Req 1B Req 2 Req 3 Linda wants to use the $300,000 proceeds ($171,000 + $40,000 + $89,000 = $300,000) from sale of the securities to open a retail store under a 12-year franchise contract. What minimum annual net cash inflow must the store generate for Linda to earn a 11% return over the 12-year period? (Round your answer to the nearest whole dollar.) Minimum annual net cash inflowStep by Step Solution
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