Both Bond Sam and Bond Dave have $9$ percent coupons, make semiannual payments, and are priced at par value $($you can assume this is $$1,000).$ Bond Sam has $4$ years to maturity, whereas Bond Dave has $11$ years to maturity.

If interest rates suddenly rise by $4$ percent, what is the percentage change in the price of Bond Sam?

multiple choice

$-12\mathrm{.}16\%$

$12\mathrm{.}54\%$

$-13\mathrm{.}87\%$

$-12\mathrm{.}18\%$

If interest rates suddenly rise by $4$ percent, what is the percentage change in the price of Bond Dave?

multiple choice

$-23\mathrm{.}07\%$

$-23\mathrm{.}05\%$

$25\mathrm{.}11\%$

$-29\mathrm{.}99\%$