You have won the lottery and you decide to give your brother a $100,000 5 year mortgage with a 25 year amortization period at 4.0% semi-annual (sa). If he went to the bank, he could get the same mortgage at 5.5% semi-annual. a) Is the market value of this mortgage higher or lower than $100,000? b) What is the value of the benefit you are giving to your brother (i.e. the difference between the book value of $100,000 and the market value)?