$4.$a$.$ Pacific Homecare has two bond issues outstanding. Both bonds pay $$100$ in annual interest plus $$1,000$ at maturity. Bond S $($S for short$-$term$)$ has a maturity of $5$ years, and Bond L $($L for long$-$term$)$ matures in $30$ years. What is the value of Bond L when the required interest rate is $10$ percent?

Answer to the nearest cent.

$($Note: A bond's price will always equal this answer when the coupon rate equals the required interest rate.$)$

$4.$b$.$ Pacific Homecare has two bond issues outstanding. Both bonds pay $$100$ in annual interest plus $$1,000$ at maturity. Bond S $($S for short$-$term$)$ has a maturity of $5$ years, and Bond L $($L for long$-$term$)$ matures in $30$ years. What is the value of Bond S when the required interest rate is $5$ percent?

Answer to the nearest cent.

$4.$c$.$ Pacific Homecare has two bond issues outstanding. Both bonds pay $$100$ in annual interest plus $$1,000$ at maturity. Bond S $($S for short$-$term$)$ has a maturity of $5$ years, and Bond L $($L for long$-$term$)$ matures in $30$ years. What is the value of Bond S when the required interest rate is $15$ percent?

Answer to the nearest cent.

$4.$d$.$ Pacific Homecare has two bond issues outstanding. Both bonds pay $$100$ in annual interest plus $$1,000$ at maturity. Bond S $($S for short$-$term$)$ has a maturity of $5$ years, and Bond L $($L for long$-$term$)$ matures in $30$ years. What is the value of Bond L when the required interest rate is $5$ percent?

Answer to the nearest cent.

$4.$e$.$ Pacific Homecare has two bond issues outstanding. Both bonds pay $$100$ in annual interest plus $$1,000$ at maturity. Bond S $($S for short$-$term$)$ has a maturity of $5$ years, and Bond L $($L for long$-$term$)$ matures in $30$ years. What is the value of Bond L when the required interest rate is $15$ percent?

Answer to the nearest cent.

$4.$f$.$ Which of the two Pacific Homecare bonds in the previous questions is more sensitive to interest rate changes?

Group of answer choices

Bond S

Bond L