$8.$ The required market rate of return is $10\%.$ See the table below for information on each bond semiannually.

a$.$ What is the market price of each bond?

b$.$ What is the duration of each bond?

c$.$ Rank the volatility of the three bonds from most volatile to least volatile based on their

duration.

d$.$ If interest rates rise to $13\%,$ by what percentage will each bond's price change?

e$.$ How does your answer in part $($d$)$ reflect your answer in part $($c$)?$