Question
Linda Clark received $223,000 from her mothers estate. She placed the funds into the hands of a broker, who purchased the following securities on Lindas
Linda Clark received $223,000 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 $99,000. The stock paid no dividends, but it was sold for $161,000 at the end of three years.
b. Preferred stock was purchased at its par value of $54,000. 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 $39,000.
c. Bonds were purchased at a cost of $70,000. The bonds paid annual interest of $1,500. After three years, the bonds were sold for $86,000.
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 11% return, and he gave Linda the following computations to support his statement:
Common stock: | |||
Gain on sale ($161,000 $99,000) | $ | 62,000 | |
Preferred stock: | |||
Dividends paid (6% $54,000 3 years) | 9,720 | ||
Loss on sale ($39,000 $54,000) | (15,000 | ) | |
Bonds: | |||
Interest paid ($1,500 3 years) | 4,500 | ||
Gain on sale ($86,000 $70,000) | 16,000 | ||
Net gain on all investments | $ | 77,220 | |
$77,220 3 years | = 11.50 % |
$223,000 |
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 11% discount rate, compute the net present value of each of the three investments.
1-b. On which investment(s) did Linda earn a 11% rate of return?
2. Considering all three investments together, did Linda earn a 11% rate of return?
3. Linda wants to use the $286,000 proceeds ($161,000 + $39,000 + $86,000 = $286,000) from sale of the securities to open a retail store under a 11-year franchise contract. What minimum annual net cash inflow must the store generate for Linda to earn a 10% return over the 11-year period?
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