Question
Linda Clark received $170,000 from her mothers estate. She placed the funds into the hands of a broker, who purchased the following securities on Lindas
Linda Clark received $170,000 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 $91,000. The stock paid no dividends, but it was sold for $160,000 at the end of three years. |
b. | Preferred stock was purchased at its par value of $46,000. 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 $32,000. |
c. | Bonds were purchased at a cost of $73,000. The bonds paid annual interest of $3,500. After three years, the bonds were sold for $75,000. |
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 14% return, and he gave Linda the following computations to support his statement |
Common stock: | ||
Gain on sale ($160,000 $91,000) | $ | 69,000 |
Preferred stock: | ||
Dividends paid (4% $46,000 3 years) | 5,520 | |
Loss on sale ($32,000 $46,000) | (14,000) | |
Bonds: | ||
Interest paid ($3,500 3 years) | 10,500 | |
Gain on sale ($75,000 $73,000) | 2,000 | |
|
| |
Net gain on all investments | $ | 73,020 |
|
| |
|
$73,020 3 years | = 14.3% | |
$170,000 |
Click here to view Exhibit 11B-1 and Exhibit 11B-2, to determine the appropriate discount factor(s) using tables. |
1-a. Using a 14% discount rate, compute the net present value of each of the three investments. (Any cash outflows should be indicated by a minus sign. Use the appropriate table to determine the discount factor(s).)
Item | Now | 1 | 2 | 3 |
Common Stock: | ||||
Purchase of stock | ||||
Sale of the stock | ||||
Total cash flows | ||||
Discount factor | ||||
Present Value | ||||
Net Present Value | ||||
Preferred Stock: | ||||
Purchase of the stock | ||||
Annual cash dividend | ||||
Sale of the stock | ||||
Total cash flows | ||||
Discount factor | ||||
Present value | ||||
Net present value | ||||
Bonds: | ||||
Purchase of the bonds | ||||
Annual interest income | ||||
Sale of the bonds | ||||
Total cash flows | ||||
Discount factors | ||||
Present Value | ||||
Net Present Value |
|
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