Problem $6-19$ Interest Rate Risk $($LO$3)$

Consider three bonds with $5\mathrm{.}00\%$ coupon rates, all making annual coupon payments and all selling at face value. The short$-$term bond

has a maturity of $4$ years, the intermediate$-$term bond has a maturity of $8$ years, and the long$-$term bond has a maturity of $30$ years.

a$.$ What will be the price of the $4-$year bond if its yield increases to $6\mathrm{.}00\%?($Do not round intermediate calculations. Round your

answer to $2$ decimal places.$)$

b$.$ What will be the price of the $8-$year bond if its yield increases to $6\mathrm{.}00\%?($Do not round intermediate calculations. Round your

answer to $2$ decimal places.$)$

c$.$ What will be the price of the $30-$year bond if its yield increases to $6\mathrm{.}00\%?($Do not round intermediate calculations. Round your

answer to $2$ decimal places.$)$

d$.$ What will be the price of the $4-$year bond if its yield decreases to $4\mathrm{.}00\%?($Do not round intermediate calculations. Round your

answer to $2$ decimal places.$)$

e$.$ What will be the price of the $8-$year bond if its yield decreases to $4\mathrm{.}00\%?($Do not round intermediate calculations. Round your

answer to $2$ decimal places.$)$

f$.$ What will be the price of the $30-$year bond if its yield decreases to $4\mathrm{.}00\%?($Do not round intermediate calculations. Round your

answer to $2$ decimal places.$)$

g$.$ Comparing your answers to parts $($a$),($b$),$ and $($c$),$ are long$-$term bonds more or less affected than short$-$term bonds by a rise in

interest rates?

h$.$ Comparing your answers to parts $($d$),($e$),$ and $($f$),$ are long$-$term bonds more or less affected than short$-$term bonds by a decline in

interest rates?