2. (Mortgage, 3 points) Suppose there is a mortgage with maturity T and monthly payment P, with an implied interest rate r (with monthly compounding) and principal A. If you double the monthly payment to 2P, when will you pay off the mortgage? You should assume that the principal A and interest rate r are unchanged. 3. (Perpetual annuity, 2 points) How much should you have today in an account with monthly compounding and annual interest rate of 5% to receive $2,000 per month forever