Assume that a payment plan offers to pay $400,000 on a persons retirement on their 65th birthday. Alternatively, the person can choose a semi-annual annuity for the remainder of the persons life starting 6 months from the date of retirement and including their date of death. Interest rates are 5 percent compounded annually, and a persons life expectancy has been determined statistically as being 78.5 years. Calculate the amount of the annuity that would make a person indifferent between the options? Please show your work using financial calculator functions. No PV factors (10 marks).