1. What is the price of a perpetuity that has a coupon of $50 per year and a yield to maturity of 2.5%? If the yield to maturity doubles, what will happen to its price?
2. Property taxes in DeKalb County are roughly 2.66% of the purchase price every year. If you just bought a $100,000 home, what is the PV of all the future property tax payments? Assume that the house remains worth $100,000 forever, property tax rates never change, and that a 9% interest rate is used for discounting