Explanation (concise):

To value the equity of BNM appropriately, HJK can use:

D. Share price × number of shares in issue

This is simply the market capitalisation, i.e. the current market value of equity.

A. Cash flows of $24 million discounted at the cost of equity

Discounting cash flows available to equity holders (free cash flow to equity) at the cost of equity is a standard equity valuation approach under CIMA F3.

E. Cash flows of $30 million (= $40 million net of tax at 25%) discounted at WACC minus the value of debt

Here, $30m is effectively FCFF = EBIT × (1 – T). Discounting FCFF at WACC gives the value of the firm; subtracting the value of debt then gives the equity value.

Option B double counts retained profits (already reflected in the share price), and option C is based on the wrong cash flow definition for equity valuation.