Question
Linda Clark received $190,000 from her mothers estate. She placed the funds into the hands of a broker, who purchased the following securities on Lindas
Linda Clark received $190,000 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 $165,000 at the end of three years. |
b. | Preferred stock was purchased at its par value of $51,000. The stock paid a 4% dividend (based on par value) each year for three years. At the end of three years, the stock was sold for $37,000. |
c. | Bonds were purchased at a cost of $78,000. The bonds paid annual interest of $4,500. After three years, the bonds were sold for $83,000. |
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 ($165,000 $96,000) | $ | 69,000 |
Preferred stock: | ||
Dividends paid (4% $51,000 3 years) | 6,120 | |
Loss on sale ($37,000 $51,000) | (14,000) | |
Bonds: | ||
Interest paid ($4,500 3 years) | 13,500 | |
Gain on sale ($83,000 $78,000) | 5,000 | |
Net gain on all investments | $ | 79,620 |
$79,620 3 years | = 14.0% | |
$190,000 |
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 $285,000 proceeds ($165,000 + $37,000 + $83,000 = $285,000) from sale of the securities to open a retail store under a 9-year franchise contract. What annual net cash inflow must the store generate for Linda to earn a 8% return over the 9-year period? (Round discount factor(s) to 3 decimal places.) |
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