The following information is provided for question $89.$

Bond A has a $6\%$ coupon, paid semi$-$annually and is due in $2$ years. Its value is currently $$900.$ Bond B has a $10\%$ coupon, paid semi$-$annually and is due in $4$ years. It is priced to yield $12\%.$ Bond C is a zero$-$coupon bond priced to yield $11\%$ in $8$ years.

$8.$ The yield to maturity of Bond A is closest to:

A$.9\mathrm{.}9\%$

B$.10\mathrm{.}4\%$

C$.10\mathrm{.}9\%$

D$.11\mathrm{.}4\%$

E$.11\mathrm{.}8\%$

$9.$ Assuming that the duration of Bond A is $1\mathrm{.}94$ years, which of the following statement about the effect of a $1\%$ decline in interest rates is true?

A$.$ Bond C$,$ having a longer duration than Bond A$,$ would have a larger percentage increase in price than Bond A$.$

B$.$ The percent change in a price of a bond is independent of the duration of a bond.

C$.$ It is not possible to determine the percent change in price of Bond A versus Bond C because the duration of Bond C is not given.

D$.$ Bond A would have a greater percent change in price vs$.$ Bond C because it has a shorter duration.

E$.$ The percent change in the price of Bond A and Bond C is equal since it is not affected by duration.