3 The managers of Daylon plc are reviewing the company’s investment portfolio. About 15% of the portfolio is represented by a holding of 5,550,000 ordinary shares of Mondglobe plc. The managers are concerned about the effect on portfolio value if the price of Mondglobe’s shares should fall, and are considering selling the shares. Daylon’s investment bank has suggested that the risk of Mondglobe’s shares falling by more than 5% from their current value could be protected against by buying an over the counter option. The investment bank is prepared to sell an appropriate six month option to Daylon for ￡250,000.
Other information:
(i) The current market price of Mondglobe’s ordinary shares is 360 pence.
(ii) The annual volatility (variance) of Mondglobe’s shares for the last year was 169%.
(iii) The risk free rate is 4% per year.
(iv) No dividend is expected to be paid by Mondglobe during the next six months.
Required:
(a) Evaluate whether or not the price at which the investment bank is willing to sell the option is a fair price.(10 marks)