As a junior financial analyst at Citibank bond trading desk, John is analyzing the forward rate

using the information from zero coupon bonds. Suppose $4$ year zero coupon bond is priced at

$$839\mathrm{.}60$ and $5$ year zero coupon bond is priced at $$822\mathrm{.}80.$

Choose all correct answers. Please note that each incorrect answer will reduce the score by

$10\%.$

The $4$ year zero coupon bond which is priced at $$839\mathrm{.}60$ will have a YTM of $4\mathrm{.}468\%.$

The $5$ year zero coupon bond which is priced at $$822\mathrm{.}80$ will have a YTM of $3\mathrm{.}978\%$

The forward rate from year $4$ to $5$ is $2\mathrm{.}042\%$

The $3$ year zero coupon bond which is priced at $$839\mathrm{.}60$ will have a YTM of $7\%.$

The $3$ year zero coupon bond which is priced at $$839\mathrm{.}60$ will have a YTM of $8\%.$

The $4$ year zero coupon bond which is priced at $$822\mathrm{.}80$ will have a YTM of $6\%$

The $4$ year zero coupon bond which is priced at $$822\mathrm{.}80$ will have a YTM of $7\%$

H$.$ The forward rate from year $4$ to $5$ is $3\mathrm{.}04\%$

I. The forward rate is from $4$ to $5$ is $4\mathrm{.}04\%$

Please do it correctly and quick!