plesse be sure to answer $1\mathrm{.}6$ Problem $1$: A bond has a $7\mathrm{.}5\%$ annual coupon rate with $4$ years to maturity and pays annual coupon

$1\mathrm{.}1$ What is the price of the bond if the yield to maturity is $5\%$

$1\mathrm{.}2$ What is price of the bond if the yield to maturity increases by $0\mathrm{.}2\%?$

$1\mathrm{.}3$ What is the $\%$ change in the price of the bond when yield increases by $0\mathrm{.}2\%?$

$1\mathrm{.}4$What is the bond duration?

$1\mathrm{.}4$ What is the modified duration?

$1\mathrm{.}5$ Using the modified duration, what is the percentage change in the price if the yield Increases by $0\mathrm{.}2\%$

$1\mathrm{.}6$What can you conclude regarding the error$-$estimate based on the modified duration?