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 rates were to suddenly fall by $4$ percent instead, what would the percentage change in the price of Bond Sam be then?

multiple choice $3$

$-12\mathrm{.}13\%$

$14\mathrm{.}34\%$

$12\mathrm{.}54\%$

$14\mathrm{.}32\%$

If rates were to suddenly fall by $4$ percent instead, what would the percentage change in the price of Bond Dave be then?

multiple choice

$33\mathrm{.}51\%$

$25\mathrm{.}11\%$

$-23\mathrm{.}02\%$

$33\mathrm{.}53\%$