Final answer:
The market value of Colt Systems' equity today is $102 million, calculated using the formula for present value of free cash flows.
Step-by-step explanation:
The market value of Colt Systems' equity today is $102 million. This can be calculated by using the formula for calculating the present value of free cash flows, which takes into account the expected growth rate of the cash flows and the cost of capital.
In this case, the free cash flows are expected to grow at a rate of 10.6% per year, and the cost of capital is 12%. By discounting the future cash flows to their present value, we can determine the market value of the equity.
To calculate the market value of the equity, we can use the following formula:
Market Value of Equity = Free Cash Flow / (Cost of Capital - Expected Growth Rate)
Plugging in the given values, we get:
Market Value of Equity = $34 million / (0.12 - 0.106) = $102 million