Final answer:
The theoretical ex-rights price for a 25% discount rights issue of May plc is £7.25 per share, while for a 50% discount rights issue, it is approximately £7.27 per share.
Step-by-step explanation:
The theoretical ex-rights price (TERP) is the average price per share post the new issue, considering the new shares are issued at a discount. When May plc issues new shares at a discount to the current market price, the TERP can be calculated for both a 25% discount and a 50% discount.
Using the formula TERP = [(Old shares x Market price) + (New shares x Issue price)] / (Old shares + New shares), let's calculate:
- 25% Discount Rights Issue: At a 25% discount, the issue price is £8.00 - 25%, which equals £6.00 per share. If the company wants to raise £4 million, they need to issue £4 million / £6.00 per share = 666,667 new shares. Plugging these into the TERP formula: [(10,000,000 shares x £8.00) + (666,667 shares x £6.00)] / (10,000,000 + 666,667) = £77,333,336 / 10,666,667 shares = £7.25 per share.
- 50% Discount Rights Issue: At a 50% discount, the issue price is £8.00 - 50%, which is £4.00 per share. For raising £4 million, the company will issue £4 million / £4.00 per share = 1,000,000 new shares. The TERP would be: [(10,000,000 shares x £8.00) + (1,000,000 shares x £4.00)] / (10,000,000 + 1,000,000) = £80,000,000 / 11,000,000 shares = about £7.27 per share.
In the context of this question, the discounts being offered affect the amount of money raised and the number of new shares issued, which in turn affects the TERP.