Danielle Johnson recently received her finance degree and has decided to enter the mortgage broker business. Rather than working for someone else, she will open her own shop. Her cousin Paul has approached her about a mortgage for a house he is building. The house will be completed in three months, and he will need the mortgage at that time. Paul wants a $25-$year, fixed$-$rate mortgage in the amount of $$400,000$ with monthly payments.

Danielle has agreed to lend Paul the money in three months at the current market rate of $6$ percent. Because Danielle is just starting out, she does not have $$400,000$ available for the loan; so she approaches William Wheaton, the president of IT Insurance Corporation, about purchasing the mortgage from her in three months. William has agreed to purchase the mortgage in three months, but he is unwilling to set a price on the mortgage. Instead, he has agreed in writing to purchase the mortgage at the market rate in three months. There are Government of Canada bond futures contracts available for delivery in three months. A Government of Canada bond contract is for $$100,000$ in face value of ten$-$year Government of Canada bonds.