In addition to the fixed assets, the firm has (i) £1 million of excess cash at year 0, deposited in a non- interest-bearing bank account, and (ii) the opportunity to invest £11.5 million in year 2 in a project that subsequently yields £11.9 million in year 3. Therefore, in order to invest in the project, the firm needs to raise additional funds of £10.5 million.
Your objective is to maximize the firm’s share price in year 3.
a. Assume that you can raise £10.5 million by issuing new shares at a price of £8.11 per share before making the potential investment in year 2. If the value of the firm’s fixed assets is A = £12 million, would you issue shares and invest in the project or not? What if A = £6 million?
b. Now assume that an investment banker informs you that you could use the £1 million of excess cash to repurchase shares at a price of £11.55 per share in year 1, and then raise the full £11.5 million needed to invest in the project by issuing new shares at a price of £8 per share in year 2. If the value of the firm’s existing assets A = £12 million, which of the following alternatives would you choose: 

(i) repurchase shares in year 1 and then do nothing in year 2,

(ii) repurchase shares in year 1 and then issue new shares and invest in the project in year 2, (iii) do nothing in both years. How would your answers change if A = £6 million? What if A = £9 million?