Both Bond Sam and Bond Dave have $10$ percent coupons, make semiannual payments, and are priced at par value. Bond Sam has $4$ years to maturity, whereas Bond Dave has $19$ years to maturity.

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

multiple choice $1$

$12\mathrm{.}31\%$

$-11\mathrm{.}92\%$

$-13\mathrm{.}56\%$

$-11\mathrm{.}94\%$

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

multiple choice $2$

$-35\mathrm{.}85\%$

$31\mathrm{.}03\%$

$-26\mathrm{.}39\%$

$-26\mathrm{.}37\%$

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 $3$

$12\mathrm{.}31\%$

$14\mathrm{.}04\%$

$-11\mathrm{.}89\%$

$14\mathrm{.}02\%$

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 $4$

$44\mathrm{.}96\%$

$-26\mathrm{.}34\%$

$44\mathrm{.}98\%$

$31\mathrm{.}03\%$