Question
Linda Clark received $160,000 from her mothers estate. She placed the funds into the hands of a broker, who purchased the following securities on Lindas
Linda Clark received $160,000 from her mothers estate. She placed the funds into the hands of a broker, who purchased the following securities on Lindas behalf: |
a. | Common stock was purchased at a cost of $96,000. The stock paid no dividends, but it was sold for $170,000 at the end of three years. |
b. | Preferred stock was purchased at its par value of $48,000. The stock paid a 6% dividend (based on par value) each year for three years. At the end of three years, the stock was sold for $34,000. |
c. | Bonds were purchased at a cost of $75,000. The bonds paid annual interest of $4,500. After three years, the bonds were sold for $77,000. |
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 16% return, and he gave Linda the following computations to support his statement: |
Common stock: | ||
Gain on sale ($170,000 $96,000) | $ | 74,000 |
Preferred stock: | ||
Dividends paid (6% $48,000 3 years) | 8,640 | |
Loss on sale ($34,000 $48,000) | (14,000) | |
Bonds: | ||
Interest paid ($4,500 3 years) | 13,500 | |
Gain on sale ($77,000 $75,000) | 2,000 | |
Net gain on all investments | $ | 84,140 |
$84,140 3 years | = 17.5% | |
$160,000 |
Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables. |
Required: | |
1-a. | Using a 16% discount rate, compute the net present value of each of the three investments. (Any cash outflows should be indicated by a minus sign. Round discount factor(s) to 3 decimal places.) |
1-b. | On which investment(s) did Linda earn a 16% rate of return? (You may select more than one answer. Single click the box with a check mark for correct answers and double click to empty the box for the wrong answers.) | ||||||
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2. | Considering all three investments together, did Linda earn a 16% rate of return? | ||||
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3. | Linda wants to use the $281,000 proceeds ($170,000 + $34,000 + $77,000 = $281,000) from sale of the securities to open a retail store under a 12-year franchise contract. What annual net cash inflow must the store generate for Linda to earn a 10% return over the 12-year period? (Round discount factor(s) to 3 decimal places.) |
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