Use the following information on government bond yields for Questions $1-5.$

Question $1$

What is the $2y2y$ implied forward rate? Give your answer in decimal form and round to the nearest fourth decimal place $($e$.$g$.9\mathrm{.}12\%=0\mathrm{.}0912).$

Question $2$

What is the $3$y$1$y implied forward rate? Give your answer in decimal form and round to the nearest fourth decimal place $($e$.$g$.9\mathrm{.}12\%=0\mathrm{.}0912).$

Question $3$

What is the $1y4y$ implied forward rate? Give your answer in decimal form and round to the nearest fourth decimal place $($e$.$g$.9\mathrm{.}12\%=0\mathrm{.}0912).$

Question $4$

You are considering the purchase of a government bond that will pay you $$1000$ in exactly $5$ years. Given the rates in the table above, what do you expect the bond's value to be in exactly $1$ year?

Question $5$

Consider the same bond as described in Question #$4.$ What do you expect the price of the bond to be in exactly $4$ years?