Question

Sommer, Inc., is considering a project that will result in initial aftertax cash savings of $2.3 million at the end of the first year, and these savings will grow at a rate of 2 percent per year indefinitely. The firm has a target debt-equity ratio of .60, a cost of equity of 10 percent, and an aftertax cost of debt of 4.6 percent. The cost-saving proposal is somewhat riskier than the usual project the firm undertakes; management uses the subjective approach and applies an adjustment factor of 3 percent to the cost of capital for such risky projects.
Required:
What is the maximum inital cost the company would be willing to pay for the project?

Answer 1

Answer:

the maximum initial cost is 25.62674095 million

Explanation:

The computation of the maximum initial cost of the company is shown below:

But before that the discount rate is

= 0.6 ÷ 1.6 × 4.6% + 1 ÷ 1.6 × 10% + 3%

= 10.9750%

Now Maximum initial cost is

=2.3 ÷ (10.975% - 2%)

= 25.62674095 million

Hence, the maximum initial cost is 25.62674095 million