With a target EV of $100 million and a debt-to-total-cap ratio of 60%, how much equity value would a 50% premium on the share price provide?

To determine the equity value with a target enterprise value (EV) of $100 million and a debt-to-total-cap ratio of 60%, it's essential to first understand how the components of the capital structure relate to each other.

The debt-to-total-cap ratio indicates that 60% of the total capitalization is represented by debt. This suggests that the remaining 40% constitutes equity. Therefore, we can derive the amount of debt and equity from the enterprise value.

Given the total enterprise value of $100 million:

• Debt can be calculated as 60% of the total capitalization.

• Equity, being the remaining part, is hence 40% of the total.

From this assumption:

1. Calculate the total capitalization (Cap) using the formula:

[

\text{Debt} = 0.60 \times \text{Cap}

]

[

\text{Equity} = 0.40 \times \text{Cap}

]

Here, we also know that:

[

\text{EV} = \text{Debt} + \text{Equity}

]

Setting up the equation:

[

100 = 0.60 \times \text{