You find a zero coupon bond with a par value of $$10,000$ and $22$ years to maturity. The yield to maturity on this bond is $4\mathrm{.}4$ percent. Assume semiannual compounding periods. What is the price of the bond?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

What are the prices of these bonds today?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

What do you expect the prices of these bonds to be in one year?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

What do you expect the prices of these bonds to be in three years?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

What do you expect the prices of these bonds to be in eight years?

Note: Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

What do you expect the prices of these bonds to be in $12$ years?

Note: Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

What do you expect the prices of these bonds to be in $18$ years?

Note: Do not round intermediate calculations.

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$