Suppose you are 40 years old today and you are considering retiring this year. Assume that you are going to live to be exactly 90 years old and have a lifestyle that costs 100,000 a year, which you wish to maintain after retirement. You dont have any other retirement plan and hence wont have any social security payments after retirement. Suppose you can guarantee a rate of return on your investment of an annual rate of 4%. How many pounds do you need to have today in order to afford the early retirement?