a. Does a rise of 100 basis points in the discount rate change the price of a 20 -year bond as much as it changes the price of a four-year bond, assuming that both bonds have the same coupon rate and offer the same yield?

b. Does a rise of 100 basis points in the discount rate change the price of a \(4 \%\) coupon bond as much as it changes the price of a \(10 \%\) coupon bond, assuming that both bonds have the same maturity and offer the same yield?

c. Does a rise of 100 basis points in the discount rate change the price of a 10 -year bond to the same extent if the discount rate is \(4 \%\) as it does if the discount rate is \(12 \%\) ?